From 36c91ddc2d7a7742a933ce6ac5bf93b876439dc5 Mon Sep 17 00:00:00 2001 From: Serene Date: Mon, 19 Oct 2020 11:01:53 -0700 Subject: [PATCH] add Stability analyese files --- .DS_Store | Bin 0 -> 14340 bytes code_method/.DS_Store | Bin 0 -> 8196 bytes code_method/code_method/.DS_Store | Bin 0 -> 6148 bytes code_method/code_method/.Rhistory | 512 + .../code_method/bootstrap_test_compLasso_rf.R | 127 + code_method/code_method/cv_method.R | 321 + code_method/code_method/cv_sim_apply.R | 76 + code_method/code_method/getStability.R | 84 + .../code_method/stab_data_applications.R | 73 + data_application/.DS_Store | Bin 0 -> 14340 bytes data_application/88soils/.DS_Store | Bin 0 -> 10244 bytes data_application/88soils/238_otu_table.biom | Bin 0 -> 2196851 bytes .../88soils/88soils_genus_table.RData | Bin 0 -> 41535 bytes .../88soils/88soils_genus_table.txt | 90 + .../88soils/88soils_modified_metadata.txt | 90 + data_application/88soils/88soils_taxonomy.txt | 7397 ++ .../boot/soils_ph_boot_compLasso.RData | Bin 0 -> 83275 bytes .../88soils/boot/soils_ph_boot_rf.RData | Bin 0 -> 82183 bytes .../88soils/filter_onepercent/soils_ph.RData | Bin 0 -> 87288 bytes .../soils_ph_compLasso.RData | Bin 0 -> 9099 bytes .../filter_onepercent/soils_ph_elnet.RData | Bin 0 -> 69785 bytes .../filter_onepercent/soils_ph_lasso.RData | Bin 0 -> 14352 bytes .../filter_onepercent/soils_ph_rf.RData | Bin 0 -> 54934 bytes .../filter_onepercent/soils_slection_prob.txt | 2184 + .../filter_onepercent/table_soil_88.txt | 5 + data_application/88soils/soils_ph.RData | Bin 0 -> 87288 bytes .../88soils/soils_ph_compLasso.RData | Bin 0 -> 9066 bytes data_application/88soils/soils_ph_elnet.RData | Bin 0 -> 67767 bytes data_application/88soils/soils_ph_lasso.RData | Bin 0 -> 14570 bytes data_application/88soils/soils_ph_rf.RData | Bin 0 -> 54546 bytes .../88soils/soils_slection_prob.txt | 2184 + data_application/BMI/.DS_Store | Bin 0 -> 14340 bytes data_application/BMI/BMI_Lin_2014.RData | Bin 0 -> 21058 bytes data_application/BMI/BMI_compLasso.RData | Bin 0 -> 4638 bytes data_application/BMI/BMI_elnet.RData | Bin 0 -> 7480 bytes data_application/BMI/BMI_lasso.RData | Bin 0 -> 3791 bytes data_application/BMI/BMI_rf.RData | Bin 0 -> 3997 bytes data_application/BMI/BMI_rf_alt.RData | Bin 0 -> 3981 bytes data_application/BMI/BMI_rf_jnt.RData | Bin 0 -> 4534 bytes data_application/BMI/bmi_pe_linOrigin.rda | Bin 0 -> 1622 bytes data_application/BMI/bmi_slection_prob.txt | 88 + .../BMI/boot/BMI_boot_compLasso.RData | Bin 0 -> 83303 bytes data_application/BMI/boot/BMI_boot_rf.RData | Bin 0 -> 84222 bytes .../BMI/filter_onepercent/.DS_Store | Bin 0 -> 6148 bytes .../BMI/filter_onepercent/BMI_Lin_2014.RData | Bin 0 -> 21058 bytes .../BMI/filter_onepercent/BMI_compLasso.RData | Bin 0 -> 4668 bytes .../BMI/filter_onepercent/BMI_elnet.RData | Bin 0 -> 7600 bytes .../BMI/filter_onepercent/BMI_lasso.RData | Bin 0 -> 3462 bytes .../BMI/filter_onepercent/BMI_rf.RData | Bin 0 -> 4291 bytes .../filter_onepercent/bmi_slection_prob.txt | 88 + .../BMI/filter_onepercent/table_bmi_gut.txt | 5 + data_application/code_applications/.DS_Store | Bin 0 -> 6148 bytes .../88soils_stab_application.R | 98 + .../code_applications/BMI_stab_application.R | 105 + .../code_applications/data_processing.R | 42 + .../code_applications/run_88soils.sh | 27 + data_application/code_applications/run_BMI.sh | 27 + .../run_data_applications.sh | 29 + .../notebooks_application/.DS_Store | Bin 0 -> 6148 bytes .../0. makeFigures.ipynb | 300 + ...1. 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+plot(size, wear) ## plot data +Xp <- tf.X(s, sj) ## prediction matrix +lines(s, Xp %*% coef(b)) ## plot the smooth +rho = seq(-9, 11, length=90) +n <- length(wear) +v <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +rho = seq(-9, 11, length=90) +n <- length(wear) +V <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +pplot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +sp <- exp(rho[V == min(V)]) ## extract optimal sp +b <- prs.fit(wear, size, sj, sp) ## re-fit +plot(size, wear, main='GCV optimal fit') +lines(s, Xp %*% coef(b)) +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +V +rho = seq(-9, 11, length=90) +n <- length(wear) +V <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +V +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +sp <- exp(rho[V == min(V)]) ## extract optimal sp +b <- prs.fit(wear, size, sj, sp) ## re-fit +plot(size, wear, main='GCV optimal fit') +lines(s, Xp %*% coef(b)) +sp +X0 <- tf.X(size, sj) ## X in original parameterization +D <- rbind(0, 0, diff(diag(20), difference=2)) +diag(D) <- 1 ## augmented D +X <- t(backsolve(t(D), t(X0))) ## re-parametrized X +Z <- X[, -c(1,2)]; X<- X[, 1:2] ## mixed model matrices +## estimate smoothing and variance parameters +m <- optim(c(0,0), llm, method='BFGS', X=X, Z=Z, y=wear) ## Bayesian model +b <- attr(llm(m$par, X, Z, wear), 'b') ## extract coefficients +## plot results +plot(size, wear) +Xp1 <- t(backsolve(t(D), t(Xp))) ## re-parameterized pred.mat. +lines(s, Xp1 %*% as.numeric(b), col='grey', lwd=2) +library(nlme) +g <- factor(rep(1, nrow(X))) ## dummy factor +m <- lme(wear ~ X - 1, random=list(g=pdIdent(~ Z-1))) +lines(s, Xp1 %*% as.numeric(coef(m))) ## and to plot +tf.XD <- function(x, xk, cmx=NULL, m=2){ +## get X and D subject to constraint +nk <- length(xk) +X <- tf.X(x, xk)[, -nk] ## basis matrix +D <- diff(diag(nk), differences=m)[, -nk] ## root penalty +if (is.null(cmx)) cmx <- colMeans(X) +X <- sweep(X, 2, cmx) ## subtract cmx from columns +list (X=X, D=D, cmx=cmx) +} +am.fit <- function (y,x,v,sp,k=10) { +## setup basis and penalties... +xk <- seq(min(x), max(x), length=k) +xdx <- tf.XD(x, xk) +vk <- seq(min(v), max(v), length=k) +xdv <- tf.XD(v, vk) +## create augmented model matrix and response ... +nD <- nrow(xdx$D) * 2 +sp <- sqrt(sp) +X <- cbind(c(rep(1, nrow(xdx$X)), rep(0, nD)), +rbind(xdx$X, sp[1]*xdx$D, xdv$D*0), +rbind(xdv$X, xdx$D*0, sp[2]*xdv$D)) +y1 <- c(y, rep(0, nD)) +## fit model .. +b <- lm(y1 ~ X - 1) +## compute some useful quantities ... +n <- length(y) +trA <- sum(influence(b)$hat[1:n]) ## EDF +rsd <- y - fitted(b)[1:n] ## residuals +rss <- sum(rsd^2) ## residual SS +sig.hat <- rss/(n-trA) ## residual variance +gcv <- sig.hat*n/(n-trA) ## GCV score +Vb <- vcov(b)*sig.hat/summary(b)$sigma^2 ## coef cov matrix +## return fitted model ... +list(b=coef(b), Vb=Vb, edf=trA, gcv=gcv, fitted=fitted(b)[1:n], +rsd=rsd, xk=list(xk, vk), cmx=list(xdx$cmx, xdv$cmx)) +} +am.gcv <- function(lsp, y, x, v, k){ +## function suitable for GCV optimization by optim +am.fit(y, x, v, exp(lsp), k)$gcv +} +require(mgcv) +## mgcv package +library(mgcv) +data(trees) +ct1 <- gam(Volume ~ s(Height) + s(Girth), family = Gamma(link=log), data=trees) +ct1 +plot(ct1, residuals=TRUE) +## use penalized cubic regression splines +ct2 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr'), +family=Gamma(link=log), data=trees) +cts +ct2 +## change dimension of basis (i.e. max df; default is 10) +ct3 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr',k=20), +family=Gamma(link=log), data=trees) +ct3 +## adjust gamma param to avoid overfitting of GCV +ct4 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr'), +family=Gamma(link=log), data=trees, gamma=1.4) +ct4 +## same model, different code +ct5 <- gam(Volume ~ s(Height, Girth,k=25), +family=Gamma(link=log), data=trees) +ct5 +plot(ct5, too.far=0.15) +## user tensor product smooth ('te') +ct6 <- gam(Volume ~ te(Height, Girth,k=25), +family=Gamma(link=log), data=trees) +## user tensor product smooth ('te') +ct6 <- gam(Volume ~ te(Height, Girth,k=5), +family=Gamma(link=log), data=trees) +ct6 +plot(ct6, too.far=0.15) +## mix smooth and parametric model +gam(Volume ~ Height + s(Girth), family = Gamma(link=log), data=trees) +labels=c('small', 'medium', 'large') +## change Height to be categorical +trees$Hclass <- factor(floor(trees$Height/10) -5, +labels=c('small', 'medium', 'large')) +ct7 <- gam(Volume ~ Hclass + s(Girth), family=Gamma(link=log), data=trees) +par(mfrow=c(1,2)); plot(ct7,all.terms=TRUE) +anova(ct7) +AIC(ct7) +summary(ct7) +22.5*4*4 +FEAST - a scalable algorithm for quantifying the origins of complex microbial communities +----------------------- +300 * 0.85 +300 * 0.95 +114.32-107.7 +19.05 + 5.40 +9.91 + 21.32 - 22.04 + 20.94 +391.60/5 +library(vegan) +5000/12 +667.5+445 +667.5+445 +300*0.85 +350*0.85 +250*0.85 +325*0.85 +25*0.85 +100*0.85 +299.99*0.9 +299.99*0.95 +30*0.85 +25*0.85 +160*0.85 +25*0.85 +175*0.85 +295*0.85 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+(85098-78950)*0.22 +85-78 +2.4*12*30 +504*(1+0.04)*30 +504*(1+0.04*30) +864-504 +360/30 +504*0.04 +9700*0.1 + (3475-9701)*0.12 + (84200-39475)*0.22 +9700*0.1 + (3475-9701)*0.12 + (60000-39475)*0.22 +9700*0.1 + (39475-9700)*0.12 + (60000-39475)*0.22 +1/6*100 +9058.5/60000*100 +4250/2/40 +4250/15/8 +4250/11/8 +40*8*20 +4250*2-800 +4250/11/8 +10200/12 +102000/12 +Q_true=c(2,2) +D_true=diag(rep(1,sum(Q_true)));D_true[1,1]=2;D_true[3,3]=2 +D_true +560-336 +224/2 +379-336 +library(vegan) +require(devtools) +install_version('vegan', version='2.4-5', repos = "http://cran.us.r-project.org") +remove.packages('vegan') +library(vegan) +packageurl <- "http://cran.r-project.org/src/contrib/Archive/vegan/vegan_2.4-5.tar.gz" +install.packages(packageurl, repos=NULL, type="source") +library(vegan) +require(vegan) +library(vegan) +install.packages('vegan') +x = c(0.091334011 0.025905727 0.01974161 0.018856484 0.013011922 0.012761575 0.01100478 0.010578836 0.009979589 0.00904816) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, 0.013011922, 0.012761575, 0.01100478, 0.010578836, 0.009979589, 0.00904816) +sum(x) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717, +0.004785166, 0.004694106, 0.004601204, 0.004475299, +0.004354599, 0.004318955, 0.004270652, 0.004198983, +0.004157922, 0.004062977, 0.003989954, 0.003962911, +0.003896029, 0.003848106, 0.003802821, 0.003784158 +0.003735151, 0.003614947, 0.003559739, 0.003538204, +0.003528331, 0.003471536, 0.00344668, 0.003402687, +0.003379342, 0.003304449, 0.003277739, 0.003195305, +0.003151292, 0.003135639, 0.00311487, 0.003099307, +0.003074084, 0.003056642, 0.003002414, 0.002963455, +0.002945777, 0.002918342, 0.002905173, 0.002885431, +0.002874419, 0.002847796, 0.002830868, 0.002812113, +0.002779548, 0.002738537, 0.002712988, 0.002709081) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717, +0.004785166, 0.004694106, 0.004601204, 0.004475299, +0.004354599, 0.004318955, 0.004270652, 0.004198983, +0.004157922, 0.004062977, 0.003989954, 0.003962911, +0.003896029, 0.003848106, 0.003802821, 0.003784158 +0.003735151, 0.003614947, 0.003559739, 0.003538204, +0.003528331, 0.003471536, 0.00344668, 0.003402687, +0.003379342, 0.003304449, 0.003277739, 0.003195305, +0.003151292, 0.003135639, 0.00311487, 0.003099307, +0.003074084, 0.003056642, 0.003002414, 0.002963455, +0.002945777, 0.002918342, 0.002905173, 0.002885431, +0.002874419, 0.002847796, 0.002830868, 0.002812113, +0.002779548, 0.002738537, 0.002712988, 0.002709081) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943 +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717, +0.004785166, 0.004694106, 0.004601204, 0.004475299, +0.004354599, 0.004318955, 0.004270652, 0.004198983, +0.004157922, 0.004062977, 0.003989954, 0.003962911, +0.003896029, 0.003848106, 0.003802821, 0.003784158 +0.003735151, 0.003614947, 0.003559739, 0.003538204, +0.003528331, 0.003471536, 0.00344668, 0.003402687, +0.003379342, 0.003304449, 0.003277739, 0.003195305, +0.003151292, 0.003135639, 0.00311487, 0.003099307, +0.003074084, 0.003056642, 0.003002414, 0.002963455, +0.002945777, 0.002918342, 0.002905173, 0.002885431, +0.002874419, 0.002847796, 0.002830868, 0.002812113, +0.002779548, 0.002738537, 0.002712988, 0.002709081) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717, +0.004785166, 0.004694106, 0.004601204, 0.004475299, +0.004354599, 0.004318955, 0.004270652, 0.004198983, +0.004157922, 0.004062977, 0.003989954, 0.003962911, +0.003896029, 0.003848106, 0.003802821, 0.003784158 +0.003735151, 0.003614947, 0.003559739, 0.003538204, +0.003528331, 0.003471536, 0.00344668, 0.003402687, +0.003379342, 0.003304449, 0.003277739, 0.003195305, +0.003151292, 0.003135639, 0.00311487, 0.003099307, +0.003074084, 0.003056642, 0.003002414, 0.002963455, +0.002945777, 0.002918342, 0.002905173, 0.002885431, +0.002874419, 0.002847796, 0.002830868, 0.002812113, +0.002779548, 0.002738537, 0.002712988, 0.002709081) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216 +) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717 +) +x = c(0.091334011, 0.025905727, 0.01974161, 0.018856484, +0.013011922, 0.012761575, 0.01100478, 0.010578836, +0.009979589, 0.00904816, 0.008958018, 0.008589943, +0.00785287, 0.00765184, 0.007467706, 0.007287216, +0.006965848, 0.006755768, 0.006636542, 0.006301882, +0.0061295, 0.006015469, 0.005800592, 0.005783671, +0.005778392, 0.0055334, 0.005382178, 0.005257952, +0.005182785, 0.005143431, 0.005030947, 0.00481717, +0.004785166, 0.004694106, 0.004601204, 0.004475299, +0.004354599, 0.004318955, 0.004270652, 0.004198983, +0.004157922, 0.004062977, 0.003989954, 0.003962911, +0.003896029, 0.003848106, 0.003802821, 0.003784158, +0.003735151, 0.003614947, 0.003559739, 0.003538204, +0.003528331, 0.003471536, 0.00344668, 0.003402687, +0.003379342, 0.003304449, 0.003277739, 0.003195305, +0.003151292, 0.003135639, 0.00311487, 0.003099307, +0.003074084, 0.003056642, 0.003002414, 0.002963455, +0.002945777, 0.002918342, 0.002905173, 0.002885431, +0.002874419, 0.002847796, 0.002830868, 0.002812113, +0.002779548, 0.002738537, 0.002712988, 0.002709081) +cumsum(x) +plot(cumsum(x), type='b') +data(dune) +data(dune.env) +dune.Manure <- rda(dune ~ Manure, dune.env) +library(vegan) +data(dune) +data(dune.env) +dune.Manure <- rda(dune ~ Manure, dune.env) +plot(dune.Manure) +head(dune.env) +aa = c(133.5, 534, 667.5, 445, 22.5, 133.5) +sum(aa) +aa = c(133.5, 534, 667.5, 445, 22a.5, 133.5) +aa = c(133.5, 534, 667.5, 445, 222.5, 133.5) +sum(aa) +sum(500, 615, 300, 410) +expression('hi'[5]*'there'[6]^8*'you'[2]) +plot(1:10, xlab=expression('hi'[5]*'there'[6]^8*'you'[2])) +c(expression('1,25(OH)'[2]*'D'), 'Race' +) +paste0('"Hello"', ' ~ r[xy] == ') +expression(u, 2, u + 0:9) +length(ex3 <- expression(u, 2, u + 0:9)) # 3 +mode(ex3 [3]) # expression +mode(ex3[[3]]) +sapply(ex3, mode ) +sapply(ex3, typeof) +2^10 +pf(10.86, 6) +pf(10.86, 298, 6) +pf(10.86, 1, 6) +pf(10.86, 6, 298) +0.022759817*100 +library(scales) +show_col(hue_pal()(6)) +library(scales) +show_col(hue_pal()(12)) +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ +for (N in size){ +idx = idx + 1 +dim.list[[idx]] = c(P=P, N=N) +} +} +files = NULL +for (dim in dim.list){ +p = dim[1] +n = dim[2] +files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData')) +} +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ +for (N in size){ +idx = idx + 1 +dim.list[[idx]] = c(P=P, N=N) +} +} +dim.list +specie <- c(rep("sorgho" , 3) , rep("poacee" , 3) , rep("banana" , 3) , rep("triticum" , 3) ) +condition <- rep(c("normal" , "stress" , "Nitrogen") , 4) +value <- abs(rnorm(12 , 0 , 15)) +data <- data.frame(specie,condition,value) +head(data) +# library +library(ggplot2) +library(viridis) +library(hrbrthemes) +ggplot(data, aes(fill=condition, y=value, x=condition)) + +geom_bar(position="dodge", stat="identity") + +scale_fill_viridis(discrete = T, option = "E") + +ggtitle("Studying 4 species..") + +facet_wrap(~specie) + +theme_ipsum() + +theme(legend.position="none") + +xlab("") +install.packages('hrbrthemes') +install.packages("hrbrthemes") +View(data) +View(data) +View(data) +78404/1975 +962/1975 +645/1975 +423/1975 +216/1975 +install.packages('funcy') +library(funcy) +packageurl <- "https://cran.r-project.org/src/contrib/Archive/funcy/funcy_1.0.1.tar.gz" +install.packages(packageurl, repos=NULL, type="source") +library(funcy) +setwd("~/Study/thesis/machineLearning/stability/simulations_2020/code_method") +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] +source('cv_method.R') +source('getStability.R') +source('stab_data_applications.R') +##################################### +##### data preparation ############## +##################################### +load('../data_application/vitaminD/vitaminD_genus_table.RData') +count = vit_otu +## filter 1% + add pesudo count +x <- count[, colMeans(count > 0) >= 0.01] +x = count +x[x == 0] <- 0.5 +x <- x/rowSums(x) # relative abundance +taxa <- log(x) +print(paste('number of features:', dim(taxa)[2], sep=':')) +# # metadata +mf <- read.csv("../data_application/vitaminD/mros_mapping_alpha.txt", sep='\t', row.names=1) +mf <- mf[complete.cases(mf$OHV1D3), ] # remove data with missing 1,25 info +ids = match(rownames(count), rownames(mf)) +y <- mf$OHV1D3[ids] +taxa <- taxa[ids, ] +# save processed data +save(y, taxa, file='../data_application/vitaminD/vitaminD_125.RData') +load('../data_application/vitaminD/vitaminD_genus_table.RData') +read.csv('../data_application/vitaminD/vitaminD_genus_table.RData') +23231/566 +2156/566 +1301/566 +883/566 +522/566 diff --git a/code_method/code_method/bootstrap_test_compLasso_rf.R b/code_method/code_method/bootstrap_test_compLasso_rf.R new file mode 100644 index 0000000..21d0586 --- /dev/null +++ b/code_method/code_method/bootstrap_test_compLasso_rf.R @@ -0,0 +1,127 @@ +########################################################## +### estimate correlation between stability index ######### +########################################################## + +source('cv_method.R') +source('getStability.R') +source('cv_sim_apply.R') + +## set up parallel computing +library(foreach) +library(doParallel) +numCores <- detectCores() - 2 # 6 cores +registerDoParallel(numCores) # use multicore, set to the number of our cores + +boot_stab_sim = function(num_boot=100, sim_file, method, seednum=31, ratio.training=0.8, fold.cv=10, + family='gaussian', lambda.grid=exp(seq(-4, -2, 0.2)), alpha.grid=seq(0.1, 0.9, 0.1), + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05){ + + # load simulated data + load(sim_file, dat <- new.env()) + + idx.start = 1; idx.stop = 100 # 100 repetitions for each simulated scenario + rou = dat$sim_array[[1]]$rou # rou, n, p are same across all repetitions + n = dat$sim_array[[1]]$n + p = dat$sim_array[[1]]$p + + ## get a vector of stability index from bootstrapped data + stab_index = rep(0, num_boot) + b = 0 + for (i in idx.start:idx.stop){ + b = b + 1 + print(paste('index', i, sep=':')) + sub = dat$sim_array[[i]] + + # bootsrap with parallelization + selections = foreach (i=1:num_boot) %dopar% { + N = length(sub$Y) # number of samples + boot_ids = sample(N, size=N, replace=TRUE) + boot_Z = sub$Z[boot_ids, ] + boot_Y = sub$Y[boot_ids, ] + + ## select features from lasso/elnet + if (method == 'compLasso'){ + result.lin = cons_lasso_cv(y=boot_Y, datx=boot_Z, seednum=i, ratio.training=ratio.training) + select.lin = result.lin$coef.chosen # since 1 represents intercept + + } else if (method == 'RF'){ + result.rf = randomForest_cv(y=boot_Y, datx=boot_Z, seednum=i, fold.cv=fold.cv, + num_trees=num_trees, mtry.grid = mtry.grid, pval_thr=pval_thr) + select.rf = result.rf$coef.chosen + } + } + + # calculate stability index from bootstrapped data + stability_table = matrix(rep(0, num_boot * p), ncol=p) + for (j in 1:num_boot){ + stability_table[j, selections[[j]]] = 1 + } + + stab_index[b] = round(getStability(stability_table)$stability, 2) + } + + results=list(rou=rou, n=n, p=p, num_boot=num_boot, method=method, stab_index=stab_index) + +} + + +######################################################## +## double bootstrap applied to real data application ### +######################################################## +boot_stab_data = function(num_boot=100, data_file, method, seednum=31, ratio.training=0.8, fold.cv=10, + family='gaussian', lambda.grid=exp(seq(-4, -2, 0.2)), alpha.grid=seq(0.1, 0.9, 0.1), + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05){ + + # load simulated data + set.seed(seednum) + load(data_file) + p = dim(taxa)[2] + + stab_index = rep(0, num_boot) + MSE_list = list() + # first loop of bootstrap to generate num_boot bootstrapped datasets + for (k in 1:num_boot){ + print(paste('num_boot', k, sep=':')) + N = length(y) # number of samples + sample_ids = seq(1, N, 1) + + # bootstrapped samples + boot_ids = sample(sample_ids, size=N, replace=TRUE) + boot_taxa = taxa[boot_ids, ] + boot_mf = y[boot_ids] + + ## second loop of bootstrap to perform variable selection + results = foreach (i=1:num_boot) %dopar% { + boot_ids_second = sample(N, size=N, replace=TRUE) + boot_Z = boot_taxa[boot_ids_second, ] + boot_Y = boot_mf[boot_ids_second] + + ## select features from lasso/elnet + if (method == 'compLasso'){ + result.lin = cons_lasso_cv(y=boot_Y, datx=boot_Z, seednum=i, ratio.training=ratio.training) + output.lin = c(result.lin$MSE, result.lin$coef.chosen) + + } else if (method == 'RF'){ + result.rf = randomForest_cv(y=boot_Y, datx=boot_Z, seednum=i, fold.cv=fold.cv, + num_trees=num_trees, mtry.grid = mtry.grid, pval_thr=pval_thr) + output.rf = c(result.rf$MSE, result.rf$coef.chosen) + } + } + + # reformat results (stability & MSE) + stability_table = matrix(rep(0, num_boot * p), ncol=p) + results_mse = results_chosen = list() + for (b in 1:num_boot){ + results_mse[b] = results[[b]][1] + results_chosen[[b]] = results[[b]][-1] + stability_table[b, results_chosen[[b]]] = 1 + } + + stab_index[k] = round(getStability(stability_table)$stability, 2) + MSE_list[[k]] = results_mse + } + + + results=list(num_boot=num_boot, method=method, stab_index=stab_index, MSE_list=MSE_list) + +} diff --git a/code_method/code_method/cv_method.R b/code_method/code_method/cv_method.R new file mode 100644 index 0000000..ceed386 --- /dev/null +++ b/code_method/code_method/cv_method.R @@ -0,0 +1,321 @@ +########################################### +#### methods for comparisions ############# +########################################### +library(glmnet) +library(caret) +library(ranger) # faster random forest + +# general reference with caret on glmnet & random forest +## http://rstudio-pubs-static.s3.amazonaws.com/251240_12a8ecea8e144fada41120ddcf52b116.html + +# important note +## when training model on training set, as tuning parameters are set in final model, coefficient are chosen already +## use test set to predict the MSE +## as unclear how carret handle fitting and prediction, use carret only for parameter tuning in elastic net + +########################################### +#### Lasso (tune lambda) ################## +########################################### +lasso_cv = function(datx, y, seednum=31, family=family, ratio.training=0.8, fold.cv=10, + lambda.grid, lambda.choice='lambda.1se'){ + # seednum: the seed number + # ratio.training: the ratio of training set (parento principle training:test=8:2) + # lambda.grid: possible candidate values for tuning parameter Lambda + # fold.cv: n-fold cross validation + # lambda.choice: 'lambda.min' or 'lambda.1se' + + set.seed(seednum) + + # # split data into training and tests sets + nn <- length(y) + trn <- sample(1:nn, ratio.training*nn) + x.train <- datx[trn, ] + x.test <- datx[-trn, ] + y.train <- y[trn] + y.test <- y[-trn] + + # use cross-validation on training data & fit on test data + cv.fit <- cv.glmnet(x.train, y.train, family=family, alpha=1, lambda=lambda.grid, nfolds=fold.cv) + pred.fit <- predict(cv.fit, s=lambda.choice, newx=x.test, type='response') + + # covariates chosen + coef.fit <- predict(cv.fit, s=lambda.choice, newx=x.test, type='coefficients') + coef.chosen = which(coef.fit != 0) + coef.chosen = coef.chosen - 1 # index for 1 representing intercept + + # evaluate results + MSE <- mean((y.test - pred.fit)^2) + + + result = list(MSE=MSE, coef.chosen=coef.chosen) + return(result) +} + +########################################### +#### Elastic Net (tune lambda and alpha) ## +########################################### +# reference 1 (tune both parameters with caret) +## https://stats.stackexchange.com/questions/268885/tune-alpha-and-lambda-parameters-of-elastic-nets-in-an-optimal-way +# reference 2 (extract final model and prediction with caret) +## https://topepo.github.io/caret/model-training-and-tuning.html + + +elnet_cv = function(datx, y, seednum=31, alpha.grid, lambda.grid, family=family, + ratio.training=0.8, fold.cv=10){ + # seednum: the seed number + # ratio.training: the ratio of training set (parento principle training:test=8:2) + # alpha.grid: possible candidate values for tuning parameter alpha + # lambda.grid: possible candidate values for tuning parameter Lambda + # fold.cv: n-fold cross validation + + set.seed(seednum) + + # # split data into training and tests sets + nn <- length(y) + trn <- sample(1:nn, ratio.training*nn) + x.train <- datx[trn, ] + x.test <- datx[-trn, ] + y.train <- y[trn] + y.test <- y[-trn] + + data.train = as.data.frame(cbind(y.train, x.train)) + colnames(data.train) = c('y', paste('V', seq(1, dim(datx)[2]), sep='')) + + # tune parameters with CV on training data with caret + trnCtrl <- trainControl(method = "cv", number = fold.cv) + srchGrid <- expand.grid(.alpha = alpha.grid, .lambda = lambda.grid) + + my_train <- train(y ~., data.train, + method = "glmnet", + tuneGrid = srchGrid, + trControl = trnCtrl) + + # fit the model with best tuning parameters on test data with glmnet + fit = glmnet(x.train, y.train, alpha=my_train$bestTune$alpha, lambda=my_train$bestTune$lambda) + pred.fit <- predict(fit, x.test, type='response') + + # covariates chosen + coef.fit <- predict(fit, x.test, type='coefficients') + coef.chosen = which(coef.fit != 0) + coef.chosen = coef.chosen - 1 # index for 1 representing intercept + + # evaluate results + MSE <- mean((y.test - pred.fit)^2) + + + result = list(MSE=MSE, coef.chosen=coef.chosen) + return(result) +} + + +############################################################### +#### Random Forests (tune # variables at each random split #### +############################################################### +# reference on regression random forst +## https://uc-r.github.io/random_forests +# OOB error is different from test error (see above website) + + +randomForest_cv = function(datx, y, seednum=31, fold.cv=5, ratio.training=0.8, mtry.grid=10, num_trees=500, + pval_thr=0.05, method.perm='altmann'){ + # mtry: number of variables to randomly sample at each split + # num_trees: number of trees to grow in random forests + # pval_thr: threshold for permutation test + # note that permutation p-value can use "altmann method" for all types of data; 'Janita' for high-dimensitional data only + # ref on permutation methods: http://finzi.psych.upenn.edu/library/ranger/html/importance_pvalues.html + + set.seed(seednum) + + # split data into training and tests sets + data = as.data.frame(cbind(y, datx)) + colnames(data) = c('y', paste('V', seq(1, dim(datx)[2]), sep='')) + inTraining = createDataPartition(data$y, p = ratio.training, list=FALSE) + train <- data[inTraining, ] + test <- data[-inTraining, ] + + # tune parameter with cross validation + hyper.grid <- expand.grid(mtry = mtry.grid, OOB_RMSE = 0) + for (i in 1:nrow(hyper.grid)){ + model = ranger(y ~., data = train, + num.trees=500, mtry=hyper.grid$mtry[i], + seed=seednum, importance = 'permutation') + hyper.grid$OOB_RMSE[i] = sqrt(model$prediction.error) + } + OOB = min(hyper.grid$OOB_RMSE) # out of bag error + position = which.min(hyper.grid$OOB_RMSE) + + # permutation test on tuned random forst model to obtain chosen features + if (method.perm == 'altmann'){ # for all data types + rf.model <- ranger(y ~., data=test, num.trees = num_trees, + mtry = hyper.grid$mtry[position], importance = 'permutation') + table = as.data.frame(importance_pvalues(rf.model, method = "altmann", + formula = y ~ ., data = test)) + } else if (method.perm == 'janitza'){ # for high dimensional data only + rf.model <- ranger(y ~., data=test, num.trees = num_trees, + mtry = hyper.grid$mtry[position], importance = 'impurity_corrected') + table = as.data.frame(importance_pvalues(rf.model, method = "janitza", + formula = y ~ ., data = test)) + } + + coef.chosen = which(table$pvalue < pval_thr) + + # if nothing been selected + if (identical(coef.chosen, integer(0))){ + coef.chosen = 0 + } + + # obtain additional prediction error to make comparable to other methods + pred_rf = predict(rf.model, test) + MSE <- mean((test$y - pred_rf$predictions)^2) + + result = list(mtry=mtry.grid[position], coef.chosen=coef.chosen, MSE=MSE, OOB=OOB, p.value=table$pvalue) + return(result) + +} + + +############################################################### +#### Compositional Lasso by Lin et al 2014 #################### +############################################################### +dyn.load("../../code_Lin/cvs/cdmm.dll") +source("../../code_Lin/cvs/cdmm.R") + +cons_lasso_cv = function(datx, y, seednum, ratio.training=0.8){ + set.seed(seednum) + z = datx + n = length(y) + + itrn = sample(n, ratio.training*n) + itst = setdiff(1:n, itrn) + ans <- cv.cdmm(y[itrn], z[itrn, ], refit=TRUE) # proposed method (default: 10 fold CV) + bet <- ans$bet; int <- ans$int + pe <- mean((y[itst] - int - z[itst, ] %*% bet)^2) + + coef.chosen = which(bet != 0) # the first beta refer to 1st feature + MSE = pe + + result = list(MSE=MSE, coef.chosen=coef.chosen) + return(result) +} + +########################################################### +#### Lasso (double cv -- no validation set) ############### +########################################################### +lasso_double_cv = function(datx, y, seednum=31, family=family, fold.cv=10, lambda.grid){ + set.seed(seednum) + + ## double loop for cross-vlidation + flds <- createFolds(y, k = fold.cv, list = TRUE, returnTrain = FALSE) + + ## outer loop for estimating MSE + MSE = STAB = matrix(rep(0, fold.cv * length(lambda.grid)), nrow=fold.cv) + rownames(MSE) = rownames(STAB) = paste('fold', seq(1:fold.cv), sep='') + colnames(MSE) = colnames(STAB) = paste('lambda', seq(1:length(lambda.grid)), sep='') + for (b in 1:fold.cv){ + idx.test = flds[[b]] + x.train = datx[-idx.test, ] + y.train = y[-idx.test] + x.test = datx[idx.test, ] + y.test = y[idx.test] + + fit = glmnet(x.train, y.train, family=family, alpha=1, lambda=lambda.grid) + pred.fit <- predict(fit, newx=x.test, s=lambda.grid, type='response') + MSE[b, ] <- colMeans((y.test - pred.fit)^2) + + ## inner loup for estimating stability + flds.inn <- createFolds(y.train, k = fold.cv, list = TRUE, returnTrain = FALSE) + stab.table.inn = list() + for (bb in 1:fold.cv){ + idx.test.inn = flds.inn[[bb]] + stab.x.train = x.train[-idx.test.inn, ] + stab.y.train = y.train[-idx.test.inn] + stab.x.test = x.train[idx.test.inn, ] + stab.y.test = y.train[idx.test.inn] + + fit.inn = glmnet(stab.x.train, stab.y.train, family=family, alpha=1, lambda=lambda.grid) + coef.fit.inn <- predict(fit.inn, newx=stab.x.test, s=lambda.grid, type='coefficients') + coef.chosen.table = as.matrix(coef.fit.inn) + coef.chosen.table = coef.chosen.table[-1, ] # no need of intercept + coef.chosen.table[coef.chosen.table != 0] = 1 # convert to binary table + coef.chosen.table[coef.chosen.table == 0] = 0 + colnames(coef.chosen.table) = paste('lambda', seq(1:length(lambda.grid)), sep='') + stab.table.inn[[bb]] = coef.chosen.table + } + + # calculate stability + table.tmp = matrix(rep(0, dim(datx)[2] * fold.cv), nrow=fold.cv) + for (i in 1:length(lambda.grid)){ + for (bb in 1:fold.cv){ + table.tmp[bb, ] = stab.table.inn[[bb]][, i] + } + STAB[b, i] = round(getStability(table.tmp)$stability, 2) + } + } + + result = list(lambda.grid=lambda.grid, MSE.list=MSE, STAB.list=STAB, MSE.value=colMeans(MSE), STAB.value=colMeans(STAB)) + return(result) +} + + +########################################################### +#### RF (double cv -- no validation set) ############### +########################################################### +randomForest_double_cv = function(datx, y, seednum=31, fold.cv=5, mtry.grid=10, num_trees=500, pval_thr=0.05){ + set.seed(seednum) + + ## double loop for cross-vlidation + data = as.data.frame(cbind(y, datx)) + colnames(data) = c('y', paste('V', seq(1, dim(datx)[2]), sep='')) + flds <- createFolds(data$y, k = fold.cv, list = TRUE, returnTrain = FALSE) + + ## outer loop for estimating MSE + MSE = STAB = matrix(rep(0, fold.cv * length(mtry.grid)), nrow=fold.cv) + rownames(MSE) = rownames(STAB) = paste('fold', seq(1:fold.cv), sep='') + colnames(MSE) = colnames(STAB) = paste('mtry', seq(1:length(mtry.grid)), sep='') + for (b in 1:fold.cv){ + idx.test = flds[[b]] + train <- data[-idx.test, ] + test <- data[idx.test, ] + + for (mtry in mtry.grid){ + fit = ranger(y ~., data = train, num.trees=500, mtry=mtry, seed=seednum, importance = 'permutation') + pred.fit <- predict(fit, test) + MSE[b, ] <- mean((test$y - pred.fit$predictions)^2) + } + + ## inner loup for estimating stability + flds.inn <- createFolds(train$y, k = fold.cv, list = TRUE, returnTrain = FALSE) + stab.table.inn = list() + for (bb in 1:fold.cv){ + idx.test.inn = flds.inn[[bb]] + stab.train <- train[-idx.test.inn, ] + stab.test <- train[idx.test.inn, ] + + coef.chosen.table = matrix(rep(0, dim(datx)[2] * length(mtry.grid)), ncol=length(mtry.grid)) + colnames(coef.chosen.table) = paste('mtry', seq(1:length(mtry.grid)), sep='') + idx = 0 + for (mtry in mtry.grid){ + idx = idx + 1 + fit.inn = ranger(y ~., data = stab.train, num.trees=500, mtry=mtry, seed=seednum, importance = 'permutation') + table = as.data.frame(importance_pvalues(fit.inn, method = "altmann", formula = y ~ ., data = stab.train)) + coef.chosen = which(table$pvalue < pval_thr) + coef.chosen.table[coef.chosen, idx] = 1 + stab.table.inn[[bb]] = coef.chosen.table + } + + } + + # calculate stability + table.tmp = matrix(rep(0, dim(datx)[2] * fold.cv), nrow=fold.cv) + for (i in 1:length(mtry.grid)){ + for (bb in 1:fold.cv){ + table.tmp[bb, ] = stab.table.inn[[bb]][, i] + } + STAB[b, i] = round(getStability(table.tmp)$stability, 2) + } + } + + result = list(mtry.grid=mtry.grid, MSE.list=MSE, STAB.list=STAB, MSE.value=colMeans(MSE), STAB.value=colMeans(STAB)) + return(result) + +} diff --git a/code_method/code_method/cv_sim_apply.R b/code_method/code_method/cv_sim_apply.R new file mode 100644 index 0000000..80f4701 --- /dev/null +++ b/code_method/code_method/cv_sim_apply.R @@ -0,0 +1,76 @@ +####################################################################################### +### apply different feature selection methods to simulated data ####################### +####################################################################################### + +# library(FSA) # for se() +# source('cv_method.R') +# source('getStability.R') + +sim_evaluate_cv = function(sim_file, method, seednum=31, ratio.training=0.8, fold.cv=10, family='gaussian', + lambda.grid=exp(seq(-4, -2, 0.2)), alpha.grid=seq(0.1, 0.9, 0.1), + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05, method.perm='altmann'){ + # load simulated data + load(sim_file, dat <- new.env()) + + idx.start = 1; idx.stop = 100 # 100 repetitions for each simulated scenario + rou = dat$sim_array[[1]]$rou # rou, n, p are same across all repetitions + n = dat$sim_array[[1]]$n + p = dat$sim_array[[1]]$p + + # evaluating different methods + fp = fn = mse = OOB_rf = NULL + stability.table = matrix(rep(0, (idx.stop - idx.start + 1) * p), ncol=p) + colnames(stability.table) = paste('V', seq(1:p), sep='') + + for (i in idx.start:idx.stop){ + sub = dat$sim_array[[i]] + coef = sub$beta + coef.true = which(coef != 0) + + if (method == 'lasso'){ + result = lasso_cv(y=sub$Y, datx=sub$Z, seednum=seednum,family=family, lambda.choice='lambda.1se', + ratio.training=ratio.training, fold.cv=fold.cv, lambda.grid=lambda.grid) + select.features = result$coef.chosen + } else if (method == 'elnet'){ + result = elnet_cv(y=sub$Y, datx=sub$Z, seednum=seednum,family=family, alpha.grid=alpha.grid, + ratio.training=ratio.training, fold.cv=fold.cv, lambda.grid=lambda.grid) + select.features = result$coef.chosen + } else if (method == 'RF'){ + result = randomForest_cv(y=sub$Y, datx=sub$Z, seednum=seednum, fold.cv=fold.cv, + num_trees=num_trees, mtry.grid = mtry.grid, pval_thr=pval_thr, method.perm=method.perm) + select.features = result$coef.chosen + } else if (method == 'compLasso'){ + result = cons_lasso_cv(datx=sub$Z, y=sub$Y, seednum=seednum, ratio.training=ratio.training) + select.features = result$coef.chosen + } + + # false positives: shouldn't be chosen but chosen + fp = c(fp, length(setdiff(select.features, coef.true))) + + # false negatives: # should be chosen yet not + fn = c(fn, length(setdiff(coef.true, select.features))) + + # prediction error + mse = c(mse, result$MSE) + + if (method == 'RF'){ + OOB_rf = c(OOB_rf, result$OOB) + } + + # stability table + stability.table[i, select.features] = 1 + } + + # store results + FP = paste(mean(fp), '(', round(se(fp),2), ')') + FN = paste(mean(fn), '(', round(se(fn),2), ')') + MSE = paste(round(mean(mse, na.rm=T),2), '(', round(se(mse, na.rm=T),2), ')') + Stab = round(getStability(stability.table)$stability, 2) + + results=list(rou=rou, n=n, p=p, FP=FP, FN=FN, MSE=MSE, Stab=Stab, + Stab.table=stability.table, FP.list=fp, FN.list=fn, MSE.list=mse, OOB.list=OOB_rf) + +} + + + diff --git a/code_method/code_method/getStability.R b/code_method/code_method/getStability.R new file mode 100644 index 0000000..6f8ad85 --- /dev/null +++ b/code_method/code_method/getStability.R @@ -0,0 +1,84 @@ +# source code: https://github.com/nogueirs/JMLR2018/blob/master/R/getStability.R + +getStability <- function(X,alpha=0.05) { +## the input X is a binary matrix of size M*d where: +## M is the number of bootstrap replicates +## d is the total number of features +## alpha is the level of significance (e.g. if alpha=0.05, we will get 95% confidence intervals) +## it's an optional argument and is set to 5% by default +### first we compute the stability + +M<-nrow(X) +d<-ncol(X) +hatPF<-colMeans(X) # selection probability of each feature +kbar<-sum(hatPF) +v_rand=(kbar/d)*(1-kbar/d) # kbar is the sum of selection probability on all features; v_rand is like the variance of bernoulli dist +stability<-1-(M/(M-1))*mean(hatPF*(1-hatPF))/v_rand ## this is the stability estimate + +## then we compute the variance of the estimate +ki<-rowSums(X) +phi_i<-rep(0,M) +for(i in 1:M){ + phi_i[i]<-(1/v_rand)*((1/d)*sum(X[i,]*hatPF)-(ki[i]*kbar)/d^2-(stability/2)*((2*kbar*ki[i])/d^2-ki[i]/d-kbar/d+1)) +} +phi_bar=mean(phi_i) +var_stab=(4/M^2)*sum((phi_i-phi_bar)^2) ## this is the variance of the stability estimate + +## then we calculate lower and upper limits of the confidence intervals +z<-qnorm(1-alpha/2) # this is the standard normal cumulative inverse at a level 1-alpha/2 +upper<-stability+z*sqrt(var_stab) ## the upper bound of the (1-alpha) confidence interval +lower<-stability-z*sqrt(var_stab) ## the lower bound of the (1-alpha) confidence interval + +return(list("stability"=stability,"variance"=var_stab,"lower"=lower,"upper"=upper)) + +} + + +# ################################ +# ## extreme cases example ####### +# ################################ +# d = 2 # number of features +# M = 10 # number of bootstrap replicates + +# ## case 1: when stability index undefined -- Z all zeros or all ones (Nogueria2018 p.13) +# Z_all_missed = matrix(rep(0, M*d), nrow=M) # since K_bar = 0, thus SI undefined +# getStability(Z_all_missed)$stability + +# Z_all_selected = matrix(rep(1, M*d), nrow=M) # since K_bar = d = 3, thus SI underfined +# getStability(Z_all_selected)$stability + +# ## case 2: when stability index reaches maximum 1 -- each column of Z either all ones or all zeros (but not only zeros or only ones)(Nogueria2018 p.13) +# # this was the case when we got the wrong SI almost 1 for soil datasets: since sampled dataset the same across all +# d = 10 +# for (i in 1: (d-1)){ +# d_ones = sample(seq(1, d, 1), i) +# Z_tmp = matrix(rep(0, M*d), nrow=M) +# Z_tmp[, d_ones] = 1 # since Sf = 0 for all features, thus SI = 1 +# SI = getStability(Z_tmp)$stability +# print(i) +# print(paste('SI:', SI, sep='')) +# } + +# ## case 3: when stability index near minimum 0 (appedix D: - 1/(M-1), but as M goes to infinity, minimum asymptotically 0) +# ## when for each column of feature, it receives same numbers of 0 and 1 +# d_alt = rep(c(0, 1), M/2) +# Z_alt = matrix(rep(d_alt, d), ncol=d) +# getStability(Z_alt)$stability # -0.1111111, which is - 1/(M-1) + +# d_alt_2 = c(rep(0, M/2), rep(1, M/2)) +# Z_alt_2 = matrix(rep(d_alt_2, d), ncol=d) +# getStability(Z_alt_2)$stability # -0.1111111, which is - 1/(M-1) + +# # when M goes to infinity +# M = 10000 +# d_alt = rep(c(0, 1), M/2) +# Z_alt = matrix(rep(d_alt, d), ncol=d) +# getStability(Z_alt)$stability # -0.00010001, very close to 0 + + + + + + + + diff --git a/code_method/code_method/stab_data_applications.R b/code_method/code_method/stab_data_applications.R new file mode 100644 index 0000000..403a3d8 --- /dev/null +++ b/code_method/code_method/stab_data_applications.R @@ -0,0 +1,73 @@ +########################################################## +### estimate correlation between stability index ######### +########################################################## + +#source('cv_method.R') +#source('getStability.R') + +## set up parallel computing +library(foreach) +library(doParallel) +#numCores <- detectCores() - 2 # 6 cores +numCores <- detectCores() - 4 # for old computer +registerDoParallel(numCores) # use multicore, set to the number of our cores + +boot_stab = function(num_boot=100, dat_file, method, ratio.training=0.8, fold.cv=10, + family='gaussian', lambda.grid=exp(seq(-4, -2, 0.2)), alpha.grid=seq(0.1, 0.9, 0.1), + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05, method.perm='altmann'){ + + # load data + load(dat_file) + + # bootsrap with parallelization + results = foreach (i=1:num_boot) %dopar% { + print(paste('bootnum', i, sep=":")) + set.seed(i) # ensure each bootstrapped data is the same across methods + N = length(y) # number of samples + sample_ids = seq(1, N, 1) + + # bootstrapped samples + boot_ids = sample(sample_ids, size=N, replace=TRUE) + boot_taxa = taxa[boot_ids, ] + boot_mf = y[boot_ids] + + ## select features from lasso/elnet + if (method == 'compLasso'){ + result.lin = cons_lasso_cv(y=boot_mf, datx=boot_taxa, seednum=i, ratio.training=ratio.training) + output.lin = c(result.lin$MSE, result.lin$coef.chosen) + + } else if (method == 'RF'){ + result.rf = randomForest_cv(y=boot_mf, datx=boot_taxa, seednum=i, fold.cv=fold.cv, + num_trees=num_trees, mtry.grid = mtry.grid, pval_thr=pval_thr, method.perm=method.perm) + output.rf = c(result.rf$MSE, result.rf$coef.chosen) + + } else if (method == 'lasso'){ + result.lasso = lasso_cv(y=boot_mf, datx=boot_taxa, seednum=i,family=family, lambda.choice='lambda.1se', + ratio.training=ratio.training, fold.cv=fold.cv, lambda.grid=lambda.grid) + output.lasso = c(result.lasso$MSE, result.lasso$coef.chosen) + + } else if (method == 'elnet'){ + result.elnet = elnet_cv(y=boot_mf, datx=boot_taxa, seednum=i,family=family, alpha.grid=alpha.grid, + ratio.training=ratio.training, fold.cv=fold.cv, lambda.grid=lambda.grid) + output.elnet = c(result.elnet$MSE, result.elnet$coef.chosen) + } + } + + # reformat results + p = dim(taxa)[2] + stability_table = matrix(rep(0, num_boot * p), ncol=p) + results_mse = results_chosen = list() + for (b in 1:num_boot){ + results_mse[b] = results[[b]][1] + results_chosen[[b]] = results[[b]][-1] + stability_table[b, results_chosen[[b]]] = 1 + } + + stab_index = round(getStability(stability_table)$stability, 2) + MSE_mean = round(mean(unlist(results_mse), na.rm=T),2) + MSE_se = round(FSA::se(unlist(results_mse), na.rm=T),2) + + results_list=list(num_boot=num_boot, method=method, stab_index=stab_index, stab_table=stability_table, + results_chosen=results_chosen, lists_mse=results_mse, MSE_mean=MSE_mean, MSE_se=MSE_se) + +} diff --git a/data_application/.DS_Store b/data_application/.DS_Store new file mode 100644 index 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k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Hyphomicrobiaceae;g__Rhodoplanes;s__ k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__Nocardioides;s__ k__Bacteria;p__Bacteroidetes;c__Flavobacteriia;o__Flavobacteriales;f__Flavobacteriaceae;g__Flavobacterium;s__ k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Peptococcaceae;g__Desulfotomaculum;s__ k__Bacteria;p__Acidobacteria;c__Acidobacteriia;o__Acidobacteriales;f__Koribacteraceae;g__Candidatus Koribacter;s__ k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Burkholderiales;f__Comamonadaceae;g__Methylibium;s__ k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Hyphomicrobiaceae;g__Rhodoplanes;s__ k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Paenibacillaceae;g__Paenibacillus;s__chondroitinus k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhodobacterales;f__Rhodobacteraceae;g__Rubellimicrobium;s__ 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FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 260 -2.9 BZ1 False 19.4 4.185 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:forest ENVO:forest soil ENVO:soil BZ1 64.8 -148.25 5.12 False lauber_88_soils True XXQIITAXX 80 132.6 gelisol Bonanza Creek LTER, AK USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 30.3 0.0 soil metagenome 26.2144 134.21772800000002 687.19476736 5_ +103.CR1 ACCACATACATC CATGCTGCCTCCCGTAGGAGT CR1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CR1_V2 1 V2 0 CR1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 850 18.4 CR1 False 10.7 3.0780000000000003 2008 soil metagenome GAZ:United States of America 0-0.05 True 250 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil CR1 33.93333333 -97.23333333 8.0 False lauber_88_soils True XXQIITAXX 64 160.1 mollisol Coffey Ranch, TX USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 28.3 10.9 soil metagenome 64.0 512.0 4096.0 8_ +103.GB2 ACCTGTCTCTCT CATGCTGCCTCCCGTAGGAGT GB2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX GB2_V2 1 V2 0 GB2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 2.0 GB2 False 13.1 5.375 2008 soil metagenome GAZ:United States of America 0-0.05 True 3290 ENVO:forest ENVO:forest soil ENVO:soil GB2 39.31666667 -111.46666670000002 7.57 False lauber_88_soils True XXQIITAXX 65 -112.3 mollisol Great Basin Experimental Range, UT USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 68.9 0.0 soil metagenome 57.3049 433.79809300000005 3283.8515640100004 7_ +103.GB3 ACGACGTCTTAG CATGCTGCCTCCCGTAGGAGT GB3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX GB3_V2 1 V2 0 GB3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 2.0 GB3 False 14.3 6.244 2008 soil metagenome GAZ:United States of America 0-0.05 True 3270 ENVO:forest ENVO:forest soil ENVO:soil GB3 39.31666667 -111.48333329999998 7.18 False lauber_88_soils True XXQIITAXX 76 -112.3 mollisol Great Basin Experimental Range, UT USA 410658 clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 57.1 0.0 soil metagenome 51.5524 370.146232 2657.6499457599994 7_ +103.GB1 ACCTCGATCAGA CATGCTGCCTCCCGTAGGAGT GB1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX GB1_V2 1 V2 0 GB1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 2.0 GB1 False 12.2 6.098 2008 soil metagenome GAZ:United States of America 0-0.05 True 3750 ENVO:grassland ENVO:grassland soil ENVO:soil GB1 39.33333333 -111.45 6.84 False lauber_88_soils True XXQIITAXX 77 -112.3 mollisol Great Basin Experimental Range, UT USA 410658 clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 28.2 0.0 soil metagenome 46.7856 320.0135039999999 2188.89236736 6_ +103.GB5 ACGAGTGCTATC CATGCTGCCTCCCGTAGGAGT GB5_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX GB5_V2 1 V2 0 GB5_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 4.8 GB5 False 11.8 6.3389999999999995 2008 soil metagenome GAZ:United States of America 0-0.05 True 2160 ENVO:shrubland ENVO:shrubland ENVO:soil GB5 39.35 -111.58333329999999 8.22 False lauber_88_soils True XXQIITAXX 70 -47.4 mollisol Great Basin Experimental Range, UT USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 16.8 10.7 soil metagenome 67.56840000000001 555.4122480000002 4565.488678560001 8_ +103.CM1 ACATCACTTAGC CATGCTGCCTCCCGTAGGAGT CM1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CM1_V2 1 V2 0 CM1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 850 18.5 CM1 False 12.4 2.043 2008 soil metagenome GAZ:United States of America 0-0.05 True 200 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil CM1 33.3 -96.23333333 7.85 False lauber_88_soils True XXQIITAXX 82 155.2 mollisol Clymer Meadow Preserve, TX USA 410658 silty clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 29.9 10.2 soil metagenome 61.6225 483.736625 3797.33250625 7_ +103.HJ1 ACGGATCGTCAG CATGCTGCCTCCCGTAGGAGT HJ1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HJ1_V2 1 V2 0 HJ1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2000 9.4 HJ1 False 36.6 5.079 2008 soil metagenome GAZ:United States of America 0-0.05 True 700 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil HJ1 44.21666667 -122.15 5.41 False lauber_88_soils True XXQIITAXX 41 -1507.0 andisol H.J. Andrews Experimental Forest, OR USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 69.5 0.0 soil metagenome 29.2681 158.34042100000005 856.6216776100001 5_ +103.HJ2 ACGGTGAGTGTC CATGCTGCCTCCCGTAGGAGT HJ2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HJ2_V2 1 V2 0 HJ2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2000 9.4 HJ2 False 26.1 4.532 2008 soil metagenome GAZ:United States of America 0-0.05 True 700 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil HJ2 44.21666667 -122.15 5.36 False lauber_88_soils True XXQIITAXX 47 -1507.0 andisol H.J. Andrews Experimental Forest, OR USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 76.1 0.0 soil metagenome 28.729600000000005 153.99065600000003 825.3899161600003 5_ +103.AR1 AACGCACGCTAG CATGCTGCCTCCCGTAGGAGT AR1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX AR1_V2 1 V2 0 AR1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1400 23.0 AR1 False 8.98 4.3 2008 soil metagenome GAZ:Argentina 0-0.05 True 150 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil AR1 -27.73333333 -55.68333333 5.8 False lauber_88_soils True XXQIITAXX 80 -206.0 oxisol Misiones, Argentina 410658 clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 22.1 0.0 soil metagenome 33.64 195.112 1131.6496 5_ +103.AR2 AACTCGTCGATG CATGCTGCCTCCCGTAGGAGT AR2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX AR2_V2 1 V2 0 AR2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1400 23.0 AR2 False 9.36 3.9 2008 soil metagenome GAZ:Argentina 0-0.05 True 150 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil AR2 -27.73333333 -55.68333333 6.0 False lauber_88_soils True XXQIITAXX 78 -206.0 oxisol Misiones, Argentina 410658 clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 21.7 0.0 soil metagenome 36.0 216.0 1296.0 6_ +103.AR3 AACTGTGCGTAC CATGCTGCCTCCCGTAGGAGT AR3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX AR3_V2 1 V2 0 AR3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1400 23.0 AR3 False 9.844 4.5 2008 soil metagenome GAZ:Argentina 0-0.05 True 150 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil AR3 -27.73333333 -55.68333333 5.9 False lauber_88_soils True XXQIITAXX 82 -206.0 oxisol Misiones, Argentina 410658 clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 24.4 0.0 soil metagenome 34.81 205.37900000000005 1211.7361000000005 5_ +103.SF2 AGCACACCTACA CATGCTGCCTCCCGTAGGAGT SF2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SF2_V2 1 V2 0 SF2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 250 13.0 SF2 False 8.14 4.0 2008 soil metagenome GAZ:United States of America 0-0.05 True 1500 ENVO:shrubland ENVO:shrubland ENVO:soil SF2 35.38333333 -105.93333329999999 8.38 False lauber_88_soils True XXQIITAXX 58 494.0 aridisol Santa Fe, NM USA 410658 clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 4.2 7.4 soil metagenome 70.22440000000002 588.4804720000002 4931.466355360002 8_ +103.SF1 AGATGTTCTGCT CATGCTGCCTCCCGTAGGAGT SF1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SF1_V2 1 V2 0 SF1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 250 13.0 SF1 False 9.92 7.6 2008 soil metagenome GAZ:United States of America 0-0.05 True 1500 ENVO:shrubland ENVO:shrubland ENVO:soil SF1 35.38333333 -105.93333329999999 7.71 False lauber_88_soils True XXQIITAXX 60 494.0 aridisol Santa Fe, NM USA 410658 clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 14.2 6.9 soil metagenome 59.4441 458.31401100000005 3533.60102481 7_ +103.SN3 AGCGACTGTGCA CATGCTGCCTCCCGTAGGAGT SN3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SN3_V2 1 V2 0 SN3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 600 3.6 SN3 False 13.9 6.289 2008 soil metagenome GAZ:United States of America 0-0.05 True 3000 ENVO:shrubland ENVO:shrubland ENVO:soil SN3 36.45 -118.16666670000001 5.74 False lauber_88_soils True XXQIITAXX 20 -251.6 inceptisol Sierra Nevada Mts., CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 16.6 0.0 soil metagenome 32.9476 189.11922400000003 1085.5443457600004 5_ +103.SN1 AGCATATGAGAG CATGCTGCCTCCCGTAGGAGT SN1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SN1_V2 1 V2 0 SN1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 600 3.6 SN1 False 22.0 12.995999999999999 2008 soil metagenome GAZ:United States of America 0-0.05 True 3000 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil SN1 36.45 -118.16666670000001 4.95 False lauber_88_soils True XXQIITAXX 20 -251.6 inceptisol Sierra Nevada Mts., CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 42.5 0.0 soil metagenome 24.5025 121.287375 600.3725062500001 4_ +103.KP4 ACTAGCTCCATA CATGCTGCCTCCCGTAGGAGT KP4_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX KP4_V2 1 V2 0 KP4_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 835 12.5 KP4 False 13.892000000000001 16.0 2008 soil metagenome GAZ:United States of America 0-0.05 True 100 ENVO:shrubland ENVO:grassland soil ENVO:soil KP4 39.1 -96.6 7.1 False lauber_88_soils True XXQIITAXX 77 -80.5 mollisol Konza Prairie LTER, KS USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 39.8 0.0 soil metagenome 50.41 357.91099999999994 2541.1680999999994 7_ +103.TL3 AGGCTACACGAC CATGCTGCCTCCCGTAGGAGT TL3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX TL3_V2 1 V2 0 TL3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 -9.3 TL3 False 24.6 16.456 2008 soil metagenome GAZ:United States of America 0-0.05 True 894 ENVO:shrubland ENVO:shrubland ENVO:soil TL3 68.63333333 -149.58333330000005 4.23 False lauber_88_soils True XXQIITAXX 52 -211.8 gelisol Toolik Lake LTER, AK USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 53.9 0.0 soil metagenome 17.892900000000004 75.68696700000002 320.1558704100001 4_ +103.TL2 AGGACGCACTGT CATGCTGCCTCCCGTAGGAGT TL2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX TL2_V2 1 V2 0 TL2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 -9.3 TL2 False 16.6 12.092 2008 soil metagenome GAZ:United States of America 0-0.05 True 894 ENVO:shrubland ENVO:shrubland ENVO:soil TL2 68.63333333 -149.58333330000005 6.47 False lauber_88_soils True XXQIITAXX 61 -211.8 gelisol Toolik Lake LTER, AK USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 158.3 0.0 soil metagenome 41.8609 270.840023 1752.3349488099998 6_ +103.TL1 AGCTTGACAGCT CATGCTGCCTCCCGTAGGAGT TL1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX TL1_V2 1 V2 0 TL1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 -9.3 TL1 False 18.7 9.241 2008 soil metagenome GAZ:United States of America 0-0.05 True 894 ENVO:grassland ENVO:grassland soil ENVO:soil TL1 68.63333333 -149.58333330000005 4.58 False lauber_88_soils True XXQIITAXX 57 -211.8 gelisol Toolik Lake LTER, AK USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 70.2 0.0 soil metagenome 20.9764 96.071912 440.00935696000016 4_ +103.KP3 ACTACGTGTGGT CATGCTGCCTCCCGTAGGAGT KP3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX KP3_V2 1 V2 0 KP3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 835 12.5 KP3 False 17.7 1.9480000000000002 2008 soil metagenome GAZ:United States of America 0-0.05 True 100 ENVO:shrubland ENVO:shrubland ENVO:soil KP3 39.1 -96.6 7.92 False lauber_88_soils True XXQIITAXX 76 -80.5 mollisol Konza Prairie LTER, KS USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 68.9 0.0 soil metagenome 62.7264 496.793088 3934.60125696 7_ +103.MT2 ACTGTGACTTCA CATGCTGCCTCCCGTAGGAGT MT2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MT2_V2 1 V2 0 MT2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 450 7.0 MT2 False 23.087 19.7 2008 soil metagenome GAZ:United States of America 0-0.05 True 1000 ENVO:forest ENVO:forest soil ENVO:soil MT2 46.8 -114.0 6.66 False lauber_88_soils True XXQIITAXX 35 70.0 inceptisol Missoula, MT USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 39.1 0.0 soil metagenome 44.3556 295.408296 1967.41925136 6_ +103.MT1 ACTGTCGAAGCT CATGCTGCCTCCCGTAGGAGT MT1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MT1_V2 1 V2 0 MT1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 450 7.0 MT1 False 16.007 26.9 2008 soil metagenome GAZ:United States of America 0-0.05 True 1000 ENVO:forest ENVO:forest soil ENVO:soil MT1 46.8 -114.0 7.57 False lauber_88_soils True XXQIITAXX 30 70.0 inceptisol Missoula, MT USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 105.4 0.0 soil metagenome 57.3049 433.79809300000005 3283.8515640100004 7_ +103.VC1 AGGTGTGATCGC CATGCTGCCTCCCGTAGGAGT VC1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX VC1_V2 1 V2 0 VC1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 500 2.5 VC1 False 17.0 15.209000000000001 2008 soil metagenome GAZ:United States of America 0-0.05 True 2746 ENVO:forest ENVO:forest soil ENVO:soil VC1 35.9 -106.55 5.55 False lauber_88_soils True XXQIITAXX 41 -174.5 mollisol Valles Caldera, NM USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 56.7 0.0 soil metagenome 30.8025 170.95387499999995 948.7940062499997 5_ +103.VC2 AGTACGCTCGAG CATGCTGCCTCCCGTAGGAGT VC2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX VC2_V2 1 V2 0 VC2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 500 2.5 VC2 False 11.5 6.265 2008 soil metagenome GAZ:United States of America 0-0.05 True 2733 ENVO:grassland ENVO:grassland soil ENVO:soil VC2 35.9 -106.55 5.99 False lauber_88_soils True XXQIITAXX 59 -174.5 mollisol Valles Caldera, NM USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 34.4 0.0 soil metagenome 35.88010000000001 214.92179900000002 1287.38157601 5_ +103.CL1 ACAGCAGTGGTC CATGCTGCCTCCCGTAGGAGT CL1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CL1_V2 1 V2 0 CL1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1250 15.9 CL1 False 19.6 4.6419999999999995 2008 soil metagenome GAZ:United States of America 0-0.05 True 150 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil CL1 34.61666667 -81.66666667 5.68 False lauber_88_soils True XXQIITAXX 35 -420.1 ultisol Calhoun Experimental Forest, SC USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 23.3 0.0 soil metagenome 32.2624 183.25043200000002 1040.86245376 5_ +103.CL2 ACAGCTAGCTTG CATGCTGCCTCCCGTAGGAGT CL2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CL2_V2 1 V2 0 CL2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1250 15.9 CL2 False 12.8 4.07 2008 soil metagenome GAZ:United States of America 0-0.05 True 150 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil CL2 34.61666667 -81.66666667 5.57 False lauber_88_soils True XXQIITAXX 25 -420.1 ultisol Calhoun Experimental Forest, SC USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 22.7 0.0 soil metagenome 31.0249 172.80869300000003 962.5444200100003 5_ +103.CL3 ACAGTGCTTCAT CATGCTGCCTCCCGTAGGAGT CL3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CL3_V2 1 V2 0 CL3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1250 15.9 CL3 False 24.3 4.145 2008 soil metagenome GAZ:United States of America 0-0.05 True 150 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil CL3 34.61666667 -81.66666667 4.89 False lauber_88_soils True XXQIITAXX 19 -420.1 ultisol Calhoun Experimental Forest, SC USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 12.1 0.0 soil metagenome 23.912099999999995 116.93016899999998 571.7885264099998 4_ +103.CL4 ACAGTTGCGCGA CATGCTGCCTCCCGTAGGAGT CL4_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CL4_V2 1 V2 0 CL4_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1250 15.9 CL4 False 13.7 2.234 2008 soil metagenome GAZ:United States of America 0-0.05 True 150 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil CL4 34.61666667 -81.66666667 5.03 False lauber_88_soils True XXQIITAXX 36 -420.1 ultisol Calhoun Experimental Forest, SC USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 17.1 0.0 soil metagenome 25.3009 127.26352700000002 640.1355408100002 5_ +103.SP1 AGCGAGCTATCT CATGCTGCCTCCCGTAGGAGT SP1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SP1_V2 1 V2 0 SP1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 650 12.7 SP1 False 18.5 7.709 2008 soil metagenome GAZ:United States of America 0-0.05 True 650 ENVO:shrubland ENVO:shrubland ENVO:soil SP1 36.5 -118.7 6.25 False lauber_88_soils True XXQIITAXX 36 16.6 inceptisol Sequoia National Park, CA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 16.8 0.0 soil metagenome 39.0625 244.140625 1525.87890625 6_ +103.SP2 AGCGCTGATGTG CATGCTGCCTCCCGTAGGAGT SP2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SP2_V2 1 V2 0 SP2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 750 3.6 SP2 False 15.9 6.535 2008 soil metagenome GAZ:United States of America 0-0.05 True 3215 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil SP2 36.61666667 -118.63333329999999 5.13 False lauber_88_soils True XXQIITAXX 24 -401.6 entisol Sequoia National Park, CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 81.0 0.0 soil metagenome 26.3169 135.005697 692.57922561 5_ +103.MD4 ACTCTTCTAGAG CATGCTGCCTCCCGTAGGAGT MD4_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MD4_V2 1 V2 0 MD4_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 150 21.0 MD4 False 5.6 0.184 2008 soil metagenome GAZ:United States of America 0-0.05 True 776 ENVO:shrubland ENVO:shrubland ENVO:soil MD4 35.2 -115.86666670000001 8.86 False lauber_88_soils True XXQIITAXX 47 1086.7 aridisol Mojave Desert, CA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 1.2 3.9 soil metagenome 78.49959999999999 695.5064559999997 6162.187200159999 8_ +103.MD5 ACTGACAGCCAT CATGCTGCCTCCCGTAGGAGT MD5_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MD5_V2 1 V2 0 MD5_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 150 21.0 MD5 False 9.5 5.931 2008 soil metagenome GAZ:United States of America 0-0.05 True 776 ENVO:shrubland ENVO:shrubland ENVO:soil MD5 35.2 -115.86666670000001 8.07 False lauber_88_soils True XXQIITAXX 20 1086.7 aridisol Mojave Desert, CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 5.7 1.8 soil metagenome 65.12490000000001 525.557943 4241.2526000100015 8_ +103.MD2 ACTCGATTCGAT CATGCTGCCTCCCGTAGGAGT MD2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MD2_V2 1 V2 0 MD2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 150 21.0 MD2 False 8.8 1.97 2008 soil metagenome GAZ:United States of America 0-0.05 True 967 ENVO:shrubland ENVO:shrubland ENVO:soil MD2 34.9 -115.6 7.65 False lauber_88_soils True XXQIITAXX 26 1053.8 aridisol Mojave Desert, CA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 4.2 0.0 soil metagenome 58.52250000000001 447.69712500000014 3424.883006250001 7_ +103.SA2 AGATCGGCTCGA CATGCTGCCTCCCGTAGGAGT SA2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SA2_V2 1 V2 0 SA2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 10.3 SA2 False 17.0 6.317 2008 soil metagenome GAZ:United States of America 0-0.05 True 1905 ENVO:shrubland ENVO:shrubland ENVO:soil SA2 35.36666667 -111.55 8.1 False lauber_88_soils True XXQIITAXX 8 198.1 entisol Sunset Crater, AZ USA 410658 sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 25.0 0.0 soil metagenome 65.61 531.4409999999998 4304.672099999999 8_ +103.SA1 AGATACACGCGC CATGCTGCCTCCCGTAGGAGT SA1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SA1_V2 1 V2 0 SA1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 10.3 SA1 False 18.2 3.821 2008 soil metagenome GAZ:United States of America 0-0.05 True 1905 ENVO:forest ENVO:forest soil ENVO:soil SA1 35.36666667 -111.55 6.9 False lauber_88_soils True XXQIITAXX 9 198.1 entisol Sunset Crater, AZ USA 410658 sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 22.9 0.0 soil metagenome 47.61000000000001 328.50900000000007 2266.712100000001 6_ +103.SK1 AGCACGAGCCTA CATGCTGCCTCCCGTAGGAGT SK1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SK1_V2 1 V2 0 SK1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 467 0.4 SK1 False 31.6767 5.8 2008 soil metagenome GAZ:United States of America 0-0.05 True 579 ENVO:forest ENVO:forest soil ENVO:soil SK1 53.9 -104.7 5.45 False lauber_88_soils True XXQIITAXX 21 -13.0 mollisol BOREAS site, Saskatchewan, Canada 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 11.6 0.0 soil metagenome 29.7025 161.87862500000003 882.2385062500001 5_ +103.SK3 AGCAGTCGCGAT CATGCTGCCTCCCGTAGGAGT SK3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SK3_V2 1 V2 0 SK3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 467 0.4 SK3 False 14.135 3.7 2008 soil metagenome GAZ:United States of America 0-0.05 True 601 ENVO:forest ENVO:forest soil ENVO:soil SK3 53.6 -106.2 5.83 False lauber_88_soils True XXQIITAXX 55 -13.0 mollisol BOREAS site, Saskatchewan, Canada 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 8.5 0.0 soil metagenome 33.9889 198.15528700000002 1155.2453232100004 5_ +103.SK2 AGCAGCACTTGT CATGCTGCCTCCCGTAGGAGT SK2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SK2_V2 1 V2 0 SK2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 467 0.4 SK2 False 24.345 6.5 2008 soil metagenome GAZ:United States of America 0-0.05 True 601 ENVO:forest ENVO:forest soil ENVO:soil SK2 53.98333333 -105.2 6.18 False lauber_88_soils True XXQIITAXX 35 -13.0 mollisol BOREAS site, Saskatchewan, Canada 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 24.9 0.0 soil metagenome 38.1924 236.02903199999997 1458.6594177599998 6_ +103.CO1 ACATGATCGTTC CATGCTGCCTCCCGTAGGAGT CO1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CO1_V2 1 V2 0 CO1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 600 -3.0 CO1 False 19.1 4.477 2008 soil metagenome GAZ:United States of America 0-0.05 True 3800 ENVO:forest ENVO:forest soil ENVO:soil CO1 40.4 -105.7 6.13 False lauber_88_soils True XXQIITAXX 14 -308.8 inceptisol Fort Collins, CO USA 410658 sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 15.9 0.0 soil metagenome 37.5769 230.346397 1412.0234136099998 6_ +103.CO3 ACATTCAGCGCA CATGCTGCCTCCCGTAGGAGT CO3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CO3_V2 1 V2 0 CO3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 322 9.3 CO3 False 11.7 2.443 2008 soil metagenome GAZ:United States of America 0-0.05 True 1500 ENVO:grassland ENVO:grassland soil ENVO:soil CO3 40.8 -104.83333329999999 6.02 False lauber_88_soils True XXQIITAXX 24 230.6 mollisol Shortgrass Steppe LTER, CO USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 8.2 0.0 soil metagenome 36.2404 218.16720800000002 1313.3665921599995 6_ +103.CO2 ACATGTCACGTG CATGCTGCCTCCCGTAGGAGT CO2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CO2_V2 1 V2 0 CO2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 350 6.1 CO2 False 31.8 9.222999999999999 2008 soil metagenome GAZ:United States of America 0-0.05 True 2400 ENVO:forest ENVO:forest soil ENVO:soil CO2 40.58333333 -105.33333329999999 5.68 False lauber_88_soils True XXQIITAXX 24 104.0 alfisol Fort Collins, CO USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 18.1 0.0 soil metagenome 32.2624 183.25043200000002 1040.86245376 5_ +103.PE1 ACTTGTAGCAGC CATGCTGCCTCCCGTAGGAGT PE1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE1_V2 1 V2 0 PE1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2100 10.0 PE1 False 13.887 32.2 2008 soil metagenome GAZ:Peru 0-0.05 True 3250 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE1 -13.08333333 -71.58333333 4.12 False lauber_88_soils True XXQIITAXX 35 -2500.0 inceptisol Manu National Park, Peru 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 134.2 0.0 soil metagenome 16.9744 69.934528 288.1302553600001 4_ +103.PE2 AGAACACGTCTC CATGCTGCCTCCCGTAGGAGT PE2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE2_V2 1 V2 0 PE2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2500 12.0 PE2 False 15.36 14.4 2008 soil metagenome GAZ:Peru 0-0.05 True 3250 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE2 -13.08333333 -71.58333333 4.11 False lauber_88_soils True XXQIITAXX 34 -2940.0 inceptisol Manu National Park, Peru 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 57.4 0.0 soil metagenome 16.892100000000006 69.42653100000001 285.34304241000007 4_ +103.PE3 AGACCGTCAGAC CATGCTGCCTCCCGTAGGAGT PE3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE3_V2 1 V2 0 PE3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 5500 16.0 PE3 False 16.84 31.8 2008 soil metagenome GAZ:Peru 0-0.05 True 2750 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE3 -13.08333333 -71.58333333 4.25 False lauber_88_soils True XXQIITAXX 40 -3270.0 inceptisol Manu National Park, Peru 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 130.9 0.0 soil metagenome 18.0625 76.765625 326.25390625 4_ +103.PE4 AGACGTGCACTG CATGCTGCCTCCCGTAGGAGT PE4_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE4_V2 1 V2 0 PE4_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 6200 17.0 PE4 False 18.45 15.5 2008 soil metagenome GAZ:Peru 0-0.05 True 2000 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE4 -13.08333333 -71.58333333 4.1 False lauber_88_soils True XXQIITAXX 32 -3700.0 inceptisol Manu National Park, Peru 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 59.5 0.0 soil metagenome 16.81 68.92099999999998 282.5760999999999 4_ +103.PE5 AGACTGCGTACT CATGCTGCCTCCCGTAGGAGT PE5_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE5_V2 1 V2 0 PE5_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 5000 23.0 PE5 False 14.55 25.0 2008 soil metagenome GAZ:Peru 0-0.05 True 1750 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE5 -12.63333333 -71.26666667 3.57 False lauber_88_soils True XXQIITAXX 70 -1900.0 oxisol Manu National Park, Peru 410658 clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 93.6 0.0 soil metagenome 12.7449 45.499293 162.43247600999996 3_ +103.PE6 AGAGAGCAAGTG CATGCTGCCTCCCGTAGGAGT PE6_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE6_V2 1 V2 0 PE6_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 4000 25.0 PE6 False 10.12 13.4 2008 soil metagenome GAZ:Peru 0-0.05 True 860 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE6 -12.65 -71.23333333 4.12 False lauber_88_soils True XXQIITAXX 65 -1600.0 oxisol Manu National Park, Peru 410658 clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 33.4 0.0 soil metagenome 16.9744 69.934528 288.1302553600001 4_ +103.PE7 AGAGCAAGAGCA CATGCTGCCTCCCGTAGGAGT PE7_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX PE7_V2 1 V2 0 PE7_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 4000 25.0 PE7 False 11.21 16.7 2008 soil metagenome GAZ:Peru 0-0.05 True 440 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil PE7 -12.65 -71.23333333 5.51 False lauber_88_soils True XXQIITAXX 88 -1600.0 oxisol Manu National Park, Peru 410658 silty clay Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 63.8 0.0 soil metagenome 30.3601 167.28415099999995 921.7356720099997 5_ +103.BP1 ACACACTATGGC CATGCTGCCTCCCGTAGGAGT BP1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX BP1_V2 1 V2 0 BP1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 450 6.6 BP1 False 14.5 7.7360000000000015 2008 soil metagenome GAZ:United States of America 0-0.05 True 1100 ENVO:grassland ENVO:grassland soil ENVO:soil BP1 43.75 -102.3833333 7.53 False lauber_88_soils True XXQIITAXX 65 79.2 entisol Badlands National Park, SD USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 31.0 0.0 soil metagenome 56.7009 426.957777 3214.992060810001 7_ +103.DF1 ACCAGACGATGC CATGCTGCCTCCCGTAGGAGT DF1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX DF1_V2 1 V2 0 DF1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1100 14.6 DF1 False 37.7 13.200999999999999 2008 soil metagenome GAZ:United States of America 0-0.05 True 163 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil DF1 35.96666667 -79.08333333 5.37 False lauber_88_soils True XXQIITAXX 43 -328.0 alfisol Duke Forest, NC USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 27.8 0.0 soil metagenome 28.8369 154.854153 831.5668016100003 5_ +103.DF3 ACCGCAGAGTCA CATGCTGCCTCCCGTAGGAGT DF3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX DF3_V2 1 V2 0 DF3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1100 14.6 DF3 False 25.8 4.149 2008 soil metagenome GAZ:United States of America 0-0.05 True 150 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil DF3 35.96666667 -79.08333333 5.05 False lauber_88_soils True XXQIITAXX 20 -328.0 alfisol Duke Forest, NC USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 17.0 0.0 soil metagenome 25.5025 128.787625 650.3775062499999 5_ +103.DF2 ACCAGCGACTAG CATGCTGCCTCCCGTAGGAGT DF2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX DF2_V2 1 V2 0 DF2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1100 14.6 DF2 False 18.3 20.410999999999998 2008 soil metagenome GAZ:United States of America 0-0.05 True 163 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil DF2 35.96666667 -79.08333333 6.84 False lauber_88_soils True XXQIITAXX 53 -328.0 alfisol Duke Forest, NC USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 54.5 0.0 soil metagenome 46.7856 320.0135039999999 2188.89236736 6_ +103.SR2 AGCTATCCACGA CATGCTGCCTCCCGTAGGAGT SR2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SR2_V2 1 V2 0 SR2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 500 17.2 SR2 False 11.1 2.461 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:shrubland ENVO:shrubland ENVO:soil SR2 34.68333333 -120.03333329999998 8.0 False lauber_88_soils True XXQIITAXX 48 323.8 mollisol Sedgwick Reserve, CA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 14.6 0.0 soil metagenome 64.0 512.0 4096.0 8_ +103.BF2 AATCGTGACTCG CATGCTGCCTCCCGTAGGAGT BF2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX BF2_V2 1 V2 0 BF2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1000 7.8 BF2 False 15.2 8.718 2008 soil metagenome GAZ:United States of America 0-0.05 True 390 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil BF2 41.58333333 -80.05 3.61 False lauber_88_soils True XXQIITAXX 56 -451.3 alfisol Bousson Forest, PA, USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 95.2 0.0 soil metagenome 13.0321 47.045881 169.83563040999996 3_ +103.BF1 AATCAGTCTCGT CATGCTGCCTCCCGTAGGAGT BF1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX BF1_V2 1 V2 0 BF1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1000 7.8 BF1 False 13.7 7.019 2008 soil metagenome GAZ:United States of America 0-0.05 True 390 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil BF1 41.58333333 -80.05 4.05 False lauber_88_soils True XXQIITAXX 60 -451.3 alfisol Bousson Forest, PA, USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 64.4 0.0 soil metagenome 16.4025 66.43012499999999 269.04200625 4_ +103.SR1 AGCGTAGGTCGT CATGCTGCCTCCCGTAGGAGT SR1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SR1_V2 1 V2 0 SR1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 500 17.2 SR1 False 11.1 6.119 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:shrubland ENVO:shrubland ENVO:soil SR1 34.7 -120.05 6.84 False lauber_88_soils True XXQIITAXX 55 323.8 mollisol Sedgwick Reserve, CA USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 45.9 0.0 soil metagenome 46.7856 320.0135039999999 2188.89236736 6_ +103.MD3 ACTCGCACAGGA CATGCTGCCTCCCGTAGGAGT MD3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MD3_V2 1 V2 0 MD3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 150 21.0 MD3 False 6.8 0.927 2008 soil metagenome GAZ:United States of America 0-0.05 True 776 ENVO:shrubland ENVO:shrubland ENVO:soil MD3 34.9 -115.65 7.9 False lauber_88_soils True XXQIITAXX 19 1053.8 aridisol Mojave Desert, CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 1.2 0.0 soil metagenome 62.41 493.039 3895.0081000000014 7_ +103.SR3 AGCTCCATACAG CATGCTGCCTCCCGTAGGAGT SR3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SR3_V2 1 V2 0 SR3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 500 17.2 SR3 False 11.0 7.154 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:shrubland ENVO:shrubland ENVO:soil SR3 34.68333333 -120.05 6.95 False lauber_88_soils True XXQIITAXX 61 323.8 mollisol Sedgwick Reserve, CA USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 33.0 0.0 soil metagenome 48.3025 335.702375 2333.1315062500007 6_ +103.HF1 ACGATGCGACCA CATGCTGCCTCCCGTAGGAGT HF1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HF1_V2 1 V2 0 HF1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1100 7.0 HF1 False 22.5 14.412 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil HF1 42.5 -72.16666667 4.25 False lauber_88_soils True XXQIITAXX 33 -483.9 inceptisol Harvard Forest, MA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 127.6 0.0 soil metagenome 18.0625 76.765625 326.25390625 4_ +103.CA2 ACACGGTGTCTA CATGCTGCCTCCCGTAGGAGT CA2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CA2_V2 1 V2 0 CA2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 10.3 CA2 False 13.6 1.63 2008 soil metagenome GAZ:United States of America 0-0.05 True 2003 ENVO:shrubland ENVO:shrubland ENVO:soil CA2 36.05 -111.76666670000002 8.02 False lauber_88_soils True XXQIITAXX 74 198.1 alfisol Cedar Mtn. AZ, USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 21.5 0.0 soil metagenome 64.32039999999999 515.8496079999999 4137.113856159999 8_ +103.CA1 ACACGAGCCACA CATGCTGCCTCCCGTAGGAGT CA1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CA1_V2 1 V2 0 CA1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 400 10.3 CA1 False 13.0 2.276 2008 soil metagenome GAZ:United States of America 0-0.05 True 2003 ENVO:forest ENVO:forest soil ENVO:soil CA1 36.05 -111.76666670000002 7.27 False lauber_88_soils True XXQIITAXX 73 198.1 alfisol Cedar Mtn. AZ, USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 16.7 0.0 soil metagenome 52.85289999999999 384.240583 2793.4290384099995 7_ +103.HF2 ACGCAACTGCTA CATGCTGCCTCCCGTAGGAGT HF2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HF2_V2 1 V2 0 HF2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1100 7.0 HF2 False 20.9 10.001 2008 soil metagenome GAZ:United States of America 0-0.05 True 300 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil HF2 42.5 -72.16666667 3.98 False lauber_88_soils True XXQIITAXX 38 -483.9 inceptisol Harvard Forest, MA USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 95.5 0.0 soil metagenome 15.8404 63.044792 250.91827216 3_ +103.SB1 AGATCTCTGCAT CATGCTGCCTCCCGTAGGAGT SB1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SB1_V2 1 V2 0 SB1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 550 15.0 SB1 False 16.9 7.166 2008 soil metagenome GAZ:United States of America 0-0.05 True 500 ENVO:shrubland ENVO:shrubland ENVO:soil SB1 34.46666667 -119.8 7.92 False lauber_88_soils True XXQIITAXX 54 152.8 inceptisol Santa Barbara, CA USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 26.5 0.0 soil metagenome 62.7264 496.793088 3934.60125696 7_ +103.CF2 ACAGACCACTCA CATGCTGCCTCCCGTAGGAGT CF2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CF2_V2 1 V2 0 CF2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1300 5.3 CF2 False 19.1 3.0 2008 soil metagenome GAZ:United States of America 0-0.05 True 800 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil CF2 41.93333333 -74.35 3.63 False lauber_88_soils True XXQIITAXX 28 -858.7 inceptisol Catskills, NY USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 40.6 0.0 soil metagenome 13.1769 47.832147 173.63069360999995 3_ +103.CF3 ACAGAGTCGGCT CATGCTGCCTCCCGTAGGAGT CF3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CF3_V2 1 V2 0 CF3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1300 5.3 CF3 False 17.0 2.912 2008 soil metagenome GAZ:United States of America 0-0.05 True 800 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil CF3 42.11666667 -74.1 3.56 False lauber_88_soils True XXQIITAXX 77 -858.7 inceptisol Catskills, NY USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 43.3 0.0 soil metagenome 12.6736 45.118016 160.62013696 3_ +103.CF1 ACACTGTTCATG CATGCTGCCTCCCGTAGGAGT CF1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CF1_V2 1 V2 0 CF1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1300 5.3 CF1 False 13.6 2.266 2008 soil metagenome GAZ:United States of America 0-0.05 True 800 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil CF1 42.15833333 -74.25833333 3.92 False lauber_88_soils True XXQIITAXX 49 -858.7 inceptisol Catskills, NY USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 25.6 0.0 soil metagenome 15.3664 60.236288 236.12624896 3_ +103.JT1 ACGTTAGCACAC CATGCTGCCTCCCGTAGGAGT JT1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX JT1_V2 1 V2 0 JT1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 90 16.0 JT1 False 11.668 11.7 2008 soil metagenome GAZ:United States of America 0-0.05 True 1360 ENVO:shrubland ENVO:shrubland ENVO:soil JT1 33.96666667 -116.06666670000001 7.6 False lauber_88_soils True XXQIITAXX 18 1032.0 aridisol Joshua Tree National Park, CA USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 6.9 0.0 soil metagenome 57.76 438.976 3336.2175999999995 7_ +103.IE1 ACGTACTCAGTG CATGCTGCCTCCCGTAGGAGT IE1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX IE1_V2 1 V2 0 IE1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1200 8.6 IE1 False 11.8 7.5360000000000005 2008 soil metagenome GAZ:United States of America 0-0.05 True 75 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil IE1 41.8 -73.75 5.27 False lauber_88_soils True XXQIITAXX 49 -609.9 inceptisol Institute for Ecosystem Studies, NY USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 27.0 0.0 soil metagenome 27.7729 146.36318299999996 771.3339744099997 5_ +103.IE2 ACGTCTGTAGCA CATGCTGCCTCCCGTAGGAGT IE2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX IE2_V2 1 V2 0 IE2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1200 8.6 IE2 False 13.2 11.422 2008 soil metagenome GAZ:United States of America 0-0.05 True 75 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil IE2 41.8 -73.75 5.52 False lauber_88_soils True XXQIITAXX 49 -609.9 inceptisol Institute for Ecosystem Studies, NY USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 40.7 0.0 soil metagenome 30.470399999999994 168.19660799999997 928.4452761599997 5_ +103.RT1 AGAGTAGCTAAG CATGCTGCCTCCCGTAGGAGT RT1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX RT1_V2 1 V2 0 RT1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 840 18.1 RT1 False 12.3 1.8519999999999999 2008 soil metagenome GAZ:United States of America 0-0.05 True 50 ENVO:shrubland ENVO:shrubland ENVO:soil RT1 31.46666667 -96.86666667 7.92 False lauber_88_soils True XXQIITAXX 82 134.5 mollisol USDA Grassland Research Center, Riesel, TX USA 410658 silty clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 39.4 18.0 soil metagenome 62.7264 496.793088 3934.60125696 7_ +103.RT2 AGAGTCCTGAGC CATGCTGCCTCCCGTAGGAGT RT2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX RT2_V2 1 V2 0 RT2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 840 18.1 RT2 False 12.0 1.646 2008 soil metagenome GAZ:United States of America 0-0.05 True 50 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil RT2 31.46666667 -96.86666667 8.07 False lauber_88_soils True XXQIITAXX 80 134.5 mollisol USDA Grassland Research Center, Riesel, TX USA 410658 silty clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 37.5 15.8 soil metagenome 65.12490000000001 525.557943 4241.2526000100015 8_ +103.CC1 ACACTAGATCCG CATGCTGCCTCCCGTAGGAGT CC1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX CC1_V2 1 V2 0 CC1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 720 5.8 CC1 False 14.5 4.204 2008 soil metagenome GAZ:United States of America 0-0.05 True 110 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil CC1 45.4 -93.2 6.06 False lauber_88_soils True XXQIITAXX 11 -143.3 inceptisol Cedar Creek LTER, MN USA 410658 sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 19.1 0.0 soil metagenome 36.7236 222.545016 1348.6227969599995 6_ +103.LQ1 ACTATTGTCACG CATGCTGCCTCCCGTAGGAGT LQ1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX LQ1_V2 1 V2 0 LQ1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 5000 19.3 LQ1 False 24.6 5.95 2008 soil metagenome GAZ:Puerto Rico 0-0.05 True 1000 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil LQ1 18.3 -65.83333333 4.89 False lauber_88_soils True XXQIITAXX 64 -4111.8 inceptisol Luquillo LTER, Puerto Rico 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 139.5 0.0 soil metagenome 23.912099999999995 116.93016899999998 571.7885264099998 4_ +103.LQ2 ACTCACGGTATG CATGCTGCCTCCCGTAGGAGT LQ2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX LQ2_V2 1 V2 0 LQ2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 3500 21.5 LQ2 False 13.0 7.816 2008 soil metagenome GAZ:Puerto Rico 0-0.05 True 400 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil LQ2 18.3 -65.83333333 5.03 False lauber_88_soils True XXQIITAXX 84 -2454.2 inceptisol Luquillo LTER, Puerto Rico 410658 silty clay loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 41.1 0.0 soil metagenome 25.3009 127.26352700000002 640.1355408100002 5_ +103.LQ3 ACTCAGATACTC CATGCTGCCTCCCGTAGGAGT LQ3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX LQ3_V2 1 V2 0 LQ3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 4500 20.5 LQ3 False 22.6 3.6860000000000004 2008 soil metagenome GAZ:Puerto Rico 0-0.05 True 700 ENVO:Tropical humid forests ENVO:tropical soil ENVO:soil LQ3 18.3 -65.83333333 4.67 False lauber_88_soils True XXQIITAXX 35 -3528.2 inceptisol Luquillo LTER, Puerto Rico 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 64.1 0.0 soil metagenome 21.8089 101.847563 475.62811921 4_ +103.KP1 ACTACAGCCTAT CATGCTGCCTCCCGTAGGAGT KP1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX KP1_V2 1 V2 0 KP1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 835 12.5 KP1 False 13.6 4.324 2008 soil metagenome GAZ:United States of America 0-0.05 True 100 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil KP1 39.1 -96.6 6.37 False lauber_88_soils True XXQIITAXX 78 -80.5 mollisol Konza Prairie LTER, KS USA 410658 silt loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 61.2 0.0 soil metagenome 40.5769 258.474853 1646.4848136100006 6_ +103.MP2 ACTGTACGCGTA CATGCTGCCTCCCGTAGGAGT MP2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MP2_V2 1 V2 0 MP2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2200 8.8 MP2 False 18.3 7.1160000000000005 2008 soil metagenome GAZ:United States of America 0-0.05 True 1300 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil MP2 49.46666667 -123.53333329999998 4.38 False lauber_88_soils True XXQIITAXX 42 -1720.6 inceptisol Mary's Peak, OR USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 98.7 0.0 soil metagenome 19.1844 84.027672 368.04120336 4_ +103.MP1 ACTGATCCTAGT CATGCTGCCTCCCGTAGGAGT MP1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX MP1_V2 1 V2 0 MP1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 2200 8.8 MP1 False 14.7 5.636 2008 soil metagenome GAZ:United States of America 0-0.05 True 1300 ENVO:Temperate grasslands ENVO:grassland soil ENVO:soil MP1 49.46666667 -123.53333329999998 4.56 False lauber_88_soils True XXQIITAXX 41 -1720.6 inceptisol Mary's Peak, OR USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 107.0 0.0 soil metagenome 20.7936 94.81881599999996 432.37380095999987 4_ +103.IT2 ACGTGCCGTAGA CATGCTGCCTCCCGTAGGAGT IT2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX IT2_V2 1 V2 0 IT2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 750 3.0 IT2 False 23.0 16.003 2008 soil metagenome GAZ:United States of America 0-0.05 True 550 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil IT2 47.18333333 -95.16666667 5.42 False lauber_88_soils True XXQIITAXX 19 -262.1 spodosol Itasca Lake State Park, MN USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 39.1 0.0 soil metagenome 29.3764 159.22008799999998 862.97287696 5_ +103.IT1 ACGTGAGAGAAT CATGCTGCCTCCCGTAGGAGT IT1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX IT1_V2 1 V2 0 IT1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 750 3.0 IT1 False 22.5 16.079 2008 soil metagenome GAZ:United States of America 0-0.05 True 550 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil IT1 47.16666667 -95.16666667 5.78 False lauber_88_soils True XXQIITAXX 27 -262.1 spodosol Itasca Lake State Park, MN USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 63.1 0.0 soil metagenome 33.4084 193.100552 1116.1211905600003 5_ +103.SV2 AGCTGACTAGTC CATGCTGCCTCCCGTAGGAGT SV2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SV2_V2 1 V2 0 SV2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 210 13.5 SV2 False 4.6 1.403 2008 soil metagenome GAZ:United States of America 0-0.05 True 1480 ENVO:grassland ENVO:grassland soil ENVO:soil SV2 34.33333333 -106.73333329999998 8.44 False lauber_88_soils True XXQIITAXX 20 443.6 aridisol Sevilleta LTER, NM USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 2.3 4.0 soil metagenome 71.2336 601.2115839999999 5074.225768959999 8_ +103.BB2 AAGCTGCAGTCG CATGCTGCCTCCCGTAGGAGT BB2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX BB2_V2 1 V2 0 BB2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1200 6.1 BB2 False 21.4 2.2230000000000003 2008 soil metagenome GAZ:United States of America 0-0.05 True 400 ENVO:Temperate broadleaf and mixed forest biome ENVO:forest soil ENVO:soil BB2 44.86666667 -68.1 4.6 False lauber_88_soils True XXQIITAXX 44 -680.2 spodosol Bear Brook, ME, USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 52.2 0.0 soil metagenome 21.16 97.33599999999998 447.74559999999985 4_ +103.BB1 AAGAGATGTCGA CATGCTGCCTCCCGTAGGAGT BB1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX BB1_V2 1 V2 0 BB1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1200 6.1 BB1 False 20.5 4.3 2008 soil metagenome GAZ:United States of America 0-0.05 True 400 ENVO:Tropical humid forests ENVO:forest soil ENVO:soil BB1 44.87 -68.1 4.3 False lauber_88_soils True XXQIITAXX 41 -680.2 spodosol Bear Brook, ME 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 12.84 0.0 soil metagenome 18.49 79.50699999999998 341.8801 4_ +103.SV1 AGCTCTCAGAGG CATGCTGCCTCCCGTAGGAGT SV1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX SV1_V2 1 V2 0 SV1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 210 13.5 SV1 False 5.0 2.036 2008 soil metagenome GAZ:United States of America 0-0.05 True 1480 ENVO:shrubland ENVO:shrubland ENVO:soil SV1 34.33333333 -106.73333329999998 8.31 False lauber_88_soils True XXQIITAXX 22 443.6 aridisol Sevilleta LTER, NM USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 3.0 5.3 soil metagenome 69.05610000000001 573.8561910000002 4768.744947210002 8_ +103.HI4 ACGCTCATGGAT CATGCTGCCTCCCGTAGGAGT HI4_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HI4_V2 1 V2 0 HI4_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1500 22.8 HI4 False 15.1 22.822 2008 soil metagenome GAZ:United States of America 0-0.05 True 1500 ENVO:Tropical and subtropical grasslands, savannas, and shrubland biome ENVO:grassland soil ENVO:soil HI4 20.08333333 -155.7 4.92 False lauber_88_soils True XXQIITAXX 52 -392.4 andisol Kohala Peninsula, HI USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 108.2 0.0 soil metagenome 24.2064 119.09548799999999 585.94980096 4_ +103.HI1 ACGCGATACTGG CATGCTGCCTCCCGTAGGAGT HI1_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HI1_V2 1 V2 0 HI1_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 250 22.8 HI1 False 11.8 0.529 2008 soil metagenome GAZ:United States of America 0-0.05 True 700 ENVO:Tropical and subtropical grasslands, savannas, and shrubland biome ENVO:grassland soil ENVO:soil HI1 20.08333333 -155.7 6.45 False lauber_88_soils True XXQIITAXX 58 857.6 aridisol Kohala Peninsula, HI USA 410658 loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 11.4 0.0 soil metagenome 41.6025 268.33612500000004 1730.76800625 6_ +103.HI2 ACGCGCAGATAC CATGCTGCCTCCCGTAGGAGT HI2_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HI2_V2 1 V2 0 HI2_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 750 22.8 HI2 False 11.0 11.805 2008 soil metagenome GAZ:United States of America 0-0.05 True 1000 ENVO:Tropical and subtropical grasslands, savannas, and shrubland biome ENVO:grassland soil ENVO:soil HI2 20.08333333 -155.7 6.32 False lauber_88_soils True XXQIITAXX 36 357.6 andisol Kohala Peninsula, HI USA 410658 sandy loam Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 158.8 0.0 soil metagenome 39.942400000000006 252.43596800000003 1595.3953177600006 6_ +103.HI3 ACGCTATCTGGA CATGCTGCCTCCCGTAGGAGT HI3_V2 True lauber_88_soils CCME bacterial biogeography Pyrosequencing_based_assessment_of_soil_pH_as_a_predictor_of_soil_bacterial_community_structure_at_the_continental_scale Engencore TCAG 19502440 CA FWD:GCCTTGCCAGCCCGCTCAGTCAGAGTTTGATCCTGGCTCAG;REV:CATGCTGCCTCCCGTAGGAGT False FLX HI3_V2 1 V2 0 HI3_V2 CCME 5/28/08 FA6P1OK 0.5, g CCME XXQIITAXX pyrosequencing CCME lauber_88_soils 16S rRNA V2 0 1000 22.8 HI3 False 11.2 13.285 2008 soil metagenome GAZ:United States of America 0-0.05 True 1500 ENVO:Tropical and subtropical grasslands, savannas, and shrubland biome ENVO:grassland soil ENVO:soil HI3 20.08333333 -155.7 6.53 False lauber_88_soils True XXQIITAXX 25 107.6 andisol Kohala Peninsula, HI USA 410658 loamy sand Pyrosequencing-Based Assessment of Soil pH as a Predictor of Soil Bacterial Community Structure at the Continental Scale 182.4 0.0 soil metagenome 42.6409 278.445077 1818.24635281 6_ diff --git a/data_application/88soils/88soils_taxonomy.txt b/data_application/88soils/88soils_taxonomy.txt new file mode 100644 index 0000000..edba93e --- /dev/null +++ b/data_application/88soils/88soils_taxonomy.txt @@ -0,0 +1,7397 @@ +Feature ID Taxon +1000512 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1000547 k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactobacillales;f__Streptococcaceae;g__Streptococcus;s__ +1000654 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__Sphingobacteriaceae;g__;s__ +1000757 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Bradyrhizobiaceae;g__;s__ +1000876 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__Nocardioides;s__ +1001333 k__Bacteria;p__Acidobacteria;c__Holophagae;o__Holophagales;f__Holophagaceae;g__;s__ +100169 k__Bacteria;p__Acidobacteria;c__Solibacteres;o__Solibacterales;f__Solibacteraceae;g__;s__ +1001960 k__Bacteria;p__Verrucomicrobia;c__[Pedosphaerae];o__[Pedosphaerales];f__;g__;s__ +1001967 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1002658 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +100307 k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Xanthomonadales;f__Sinobacteraceae;g__;s__ +1003206 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Sphingomonadaceae;g__Sphingomonas;s__ +1004666 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Bdellovibrionales;f__Bdellovibrionaceae;g__Bdellovibrio;s__ +100543 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Rhodocyclales;f__Rhodocyclaceae;g__Propionivibrio;s__ +1006099 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__;g__;s__ +1006382 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__;g__;s__ +100640 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__IS-44;f__;g__;s__ +1007278 k__Bacteria;p__Gemmatimonadetes;c__Gemm-3;o__;f__;g__;s__ +1007490 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__SC-I-84;f__;g__;s__ +100793 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Bradyrhizobiaceae;g__Bosea;s__genosp. +1008207 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Myxococcales;f__;g__;s__ +1009307 k__Bacteria;p__Bacteroidetes;c__Flavobacteriia;o__Flavobacteriales;f__Flavobacteriaceae;g__Flavobacterium;s__ +100933 k__Bacteria;p__TM7;c__SC3;o__;f__;g__;s__ +1009427 k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Clostridiaceae;g__Clostridium;s__ +1009440 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Caulobacterales;f__Caulobacteraceae;g__;s__ +1009717 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1011216 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__EB1017;g__;s__ +1011380 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Solirubrobacterales;f__Conexibacteraceae;g__;s__ +1011476 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__C111;g__;s__ +1011906 k__Bacteria;p__Bacteroidetes;c__Bacteroidia;o__Bacteroidales;f__SB-1;g__;s__ +1012112 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Solirubrobacterales;f__Solirubrobacteraceae;g__;s__ +101218 k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Legionellales;f__Coxiellaceae;g__;s__ +1012195 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__Segetibacter;s__ +1012668 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__EB1017;g__;s__ +101293 k__Bacteria;p__Bacteroidetes;c__Flavobacteriia;o__Flavobacteriales;f__[Weeksellaceae];g__Chryseobacterium;s__ +1013060 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__EB1017;g__;s__ +1013589 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__Larkinella;s__ +1013954 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1013967 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1014728 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__Sphingobacteriaceae;g__;s__ +101542 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Hyphomicrobiaceae;g__Rhodoplanes;s__ +1016118 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Myxococcales;f__;g__;s__ +1017021 k__Bacteria;p__Proteobacteria;c__TA18;o__PHOS-HD29;f__;g__;s__ +1018122 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__;g__;s__ +1018359 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__Dyadobacter;s__ +101868 k__Bacteria;p__Verrucomicrobia;c__[Spartobacteria];o__[Chthoniobacterales];f__[Chthoniobacteraceae];g__DA101;s__ +101884 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__;f__;g__;s__ +101901 k__Bacteria;p__TM7;c__TM7-3;o__;f__;g__;s__ +1019326 k__Bacteria;p__WS3;c__PRR-12;o__Sediment-1;f__;g__;s__ +1019914 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__;s__ +1020625 k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Peptostreptococcaceae;g__;s__ +1021365 k__Bacteria;p__Armatimonadetes;c__Chthonomonadetes;o__SJA-22;f__;g__;s__ +102142 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Rhizobiaceae;g__Rhizobium;s__ +1021582 k__Bacteria;p__Acidobacteria;c__Acidobacteriia;o__Acidobacteriales;f__Acidobacteriaceae;g__;s__ +102183 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__;f__;g__;s__ +1021984 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Myxococcales;f__;g__;s__ +1022659 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__EB1017;g__;s__ +1023338 k__Bacteria;p__Planctomycetes;c__Phycisphaerae;o__WD2101;f__;g__;s__ +102348 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhodospirillales;f__Acetobacteraceae;g__;s__ +1023953 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__Sphingobacteriaceae;g__Pedobacter;s__cryoconitis +1024056 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhodospirillales;f__Rhodospirillaceae;g__;s__ +1024089 k__Bacteria;p__Acidobacteria;c__DA052;o__Ellin6513;f__;g__;s__ +1024188 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Sphingomonadaceae;g__Sphingomonas;s__wittichii +1024420 k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Ruminococcaceae;g__;s__ +1024519 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__;g__;s__ +1024572 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__;g__;s__ +1024739 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__C111;g__;s__ +1026050 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1026431 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Pseudonocardiaceae;g__Actinomycetospora;s__ +1027121 k__Bacteria;p__Bacteroidetes;c__Sphingobacteriia;o__Sphingobacteriales;f__Sphingobacteriaceae;g__;s__ +1027400 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__EB1017;g__;s__ +1027418 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Erythrobacteraceae;g__;s__ +102750 k__Bacteria;p__Actinobacteria;c__Acidimicrobiia;o__Acidimicrobiales;f__;g__;s__ +102773 k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Xanthomonadales;f__Xanthomonadaceae;g__;s__ +1027943 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__Hymenobacter;s__ +102799 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__A21b;f__EB1003;g__;s__ +1028706 k__Bacteria;p__Verrucomicrobia;c__[Pedosphaerae];o__[Pedosphaerales];f__Ellin515;g__;s__ +1028956 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__MIZ46;f__;g__;s__ +102915 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Sphingomonadaceae;g__Sphingomonas;s__asaccharolytica +1029421 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1029559 k__Bacteria;p__Cyanobacteria;c__Chloroplast;o__Stramenopiles;f__;g__;s__ +1029922 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Ellin329;f__;g__;s__ +102993 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Frankiaceae;g__Actinomycetales;s__Ellin122 +1030212 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Bdellovibrionales;f__Bdellovibrionaceae;g__Bdellovibrio;s__ +1030247 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__Segetibacter;s__ +1030519 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__;s__ +1030575 k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactobacillales;f__Streptococcaceae;g__Streptococcus;s__ +103132 k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Clostridiaceae;g__Clostridium;s__ +1031581 k__Bacteria;p__WPS-2;c__;o__;f__;g__;s__ +103167 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Beijerinckiaceae;g__;s__ +103211 k__Bacteria;p__Acidobacteria;c__[Chloracidobacteria];o__RB41;f__Ellin6075;g__;s__ +10323 k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Enterobacteriales;f__Enterobacteriaceae;g__Ewingella;s__americana +1032509 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1032653 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Solirubrobacterales;f__Solirubrobacteraceae;g__;s__ +103285 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Caulobacterales;f__Caulobacteraceae;g__Nitrobacteria;s__hamadaniensis +1033380 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__;s__ +1033426 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__Nocardioides;s__ +103410 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Rhizobiaceae;g__Rhizobium;s__ +1034106 k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Paenibacillaceae;g__Paenibacillus;s__ +103478 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1034839 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhodospirillales;f__Acetobacteraceae;g__Roseococcus;s__ +1034969 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Ellin329;f__;g__;s__ +103580 k__Bacteria;p__Acidobacteria;c__Solibacteres;o__Solibacterales;f__;g__;s__ +103628 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Microbacteriaceae;g__Microbacterium;s__ +1037032 k__Bacteria;p__Acidobacteria;c__[Chloracidobacteria];o__RB41;f__Ellin6075;g__;s__ +1037111 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__Flavisolibacter;s__ +1037256 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1037355 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Streptomycetaceae;g__Streptomyces;s__ +1038525 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Desulfuromonadales;f__Geobacteraceae;g__Geobacter;s__ +103869 k__Bacteria;p__Gemmatimonadetes;c__Gemmatimonadetes;o__N1423WL;f__;g__;s__ +1038987 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__Flavisolibacter;s__ +1040091 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__;g__;s__ +104172 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Gaiellales;f__Gaiellaceae;g__;s__ +1041758 k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Pseudomonadales;f__Moraxellaceae;g__;s__ +104181 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1042008 k__Bacteria;p__Cyanobacteria;c__4C0d-2;o__MLE1-12;f__;g__;s__ +104216 k__Bacteria;p__Verrucomicrobia;c__[Spartobacteria];o__[Chthoniobacterales];f__[Chthoniobacteraceae];g__DA101;s__ +1042351 k__Bacteria;p__Nitrospirae;c__Nitrospira;o__Nitrospirales;f__0319-6A21;g__;s__ +1042401 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +104243 k__Bacteria;p__Bacteroidetes;c__Flavobacteriia;o__Flavobacteriales;f__[Weeksellaceae];g__;s__ +1042519 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__;s__ +104265 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Frankiaceae;g__;s__ +1042774 k__Bacteria;p__Bacteroidetes;c__Cytophagia;o__Cytophagales;f__Cytophagaceae;g__;s__ +104281 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Burkholderiales;f__Comamonadaceae;g__;s__ +104310 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Frankiaceae;g__;s__ +104326 k__Bacteria;p__Acidobacteria;c__Acidobacteriia;o__Acidobacteriales;f__Acidobacteriaceae;g__;s__ +1043652 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__;s__ +1043812 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__;g__;s__ +1044235 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Caulobacterales;f__Caulobacteraceae;g__;s__ +1044319 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__;s__ +1044581 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Solirubrobacterales;f__;g__;s__ +104490 k__Bacteria;p__Acidobacteria;c__Acidobacteria-6;o__iii1-15;f__;g__;s__ +1044938 k__Bacteria;p__Gemmatimonadetes;c__Gemmatimonadetes;o__Gemmatimonadales;f__Gemmatimonadaceae;g__Gemmatimonas;s__ +104612 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Rhodocyclales;f__Rhodocyclaceae;g__Uliginosibacterium;s__ +104622 k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Bacillaceae;g__Bacillus;s__ +1046395 k__Bacteria;p__Actinobacteria;c__Thermoleophilia;o__Solirubrobacterales;f__Patulibacteraceae;g__;s__ +1046488 k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Bradyrhizobiaceae;g__;s__ +1047075 k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__;s__ +104742 k__Bacteria;p__Bacteroidetes;c__[Saprospirae];o__[Saprospirales];f__Chitinophagaceae;g__Sediminibacterium;s__ +1048814 k__Bacteria;p__Proteobacteria;c__Deltaproteobacteria;o__Myxococcales;f__;g__;s__ +104916 k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__SC-I-84;f__;g__;s__ +1049393 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a/data_application/88soils/filter_onepercent/soils_slection_prob.txt b/data_application/88soils/filter_onepercent/soils_slection_prob.txt new file mode 100644 index 0000000..786909f --- /dev/null +++ b/data_application/88soils/filter_onepercent/soils_slection_prob.txt @@ -0,0 +1,2184 @@ +"" "prob_compLasso" "prob_lasso" "prob_elnet" "prob_rf" +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__" 0 0.06 0.11 0.02 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralis" 0.03 0.06 0.26 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__" 0 0.05 0.05 0.05 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__" 0 0.05 0.06 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__" 0 0 0.01 0.01 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__" 0 0 0.04 0.03 +"k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__" 0 0.04 0.07 0.04 +"k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__" 0 0.03 0.03 0.05 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__" 0 0.02 0.13 0.04 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__" 0 0 0.03 0.01 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.1" 0 0.02 0.27 0.02 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__chondroitinus" 0 0 0.09 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhodobacterales.f__Rhodobacteraceae.g__Rubellimicrobium.s__" 0.12 0.1 0.34 0.06 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.1" 0 0.03 0.16 0.05 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dyella.s__" 0 0.02 0.06 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Microbacteriaceae.g__Agromyces.s__" 0 0 0.06 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhodospirillales.f__Rhodospirillaceae.g__Magnetospirillum.s__" 0 0.02 0.08 0.05 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.2" 0 0.01 0.07 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Rhodobiaceae.g__Afifella.s__" 0 0.01 0.29 0.07 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__" 0 0 0.01 0.02 +"k__Bacteria.p__Bacteroidetes.c__.Saprospirae..o__.Saprospirales..f__Chitinophagaceae.g__Sediminibacterium.s__" 0 0.01 0.05 0.03 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Friedmanniella.s__" 0 0 0 0.05 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Bdellovibrionales.f__Bdellovibrionaceae.g__Bdellovibrio.s__" 0 0.01 0.03 0.04 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Sinobacteraceae.g__Steroidobacter.s__" 0 0 0.03 0.06 +"k__Bacteria.p__.Thermi..c__Deinococci.o__Deinococcales.f__Deinococcaceae.g__Deinococcus.s__" 0 0.02 0.15 0.03 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Leptothrix.s__" 0 0.01 0.04 0.07 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Polaromonas.s__" 0 0 0.07 0.07 +"k__Bacteria.p__Bacteroidetes.c__Cytophagia.o__Cytophagales.f__Cytophagaceae.g__Adhaeribacter.s__" 0 0.01 0.16 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Caulobacterales.f__Caulobacteraceae.g__Phenylobacterium.s__" 0 0 0.02 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__" 0.02 0.02 0.06 0.17 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__.1" 0 0 0.01 0.07 +"k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__" 0.05 0.06 0.25 0.25 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Sphingomonas.s__" 0 0.02 0.14 0.05 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.2" 0.16 0.19 0.42 0.41 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Pedomicrobium.s__" 0.23 0.28 0.65 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.3" 0 0 0 0.06 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Pedomicrobium.s__.1" 0 0 0.01 0.03 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Couchioplanes.s__caeruleus" 0 0 0.02 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.4" 0 0 0.04 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__vaccae" 0 0.03 0.24 0.05 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Lactococcus.s__" 0 0.02 0.01 0.04 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__" 0.04 0.07 0.17 0.02 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.1" 0.08 0.12 0.34 0.11 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__.Entotheonellales..f__.Entotheonellaceae..g__Candidatus.Entotheonella.s__" 0 0.04 0.13 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.5" 0 0 0.02 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.6" 0 0 0.01 0.11 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Bdellovibrionales.f__Bdellovibrionaceae.g__Bdellovibrio.s__.1" 0 0 0.07 0.02 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.2" 0 0 0.07 0.06 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rickettsiales.f__mitochondria.g__Diplazium.s__pycnocarpon" 0 0.01 0.08 0.03 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Pseudomonadales.f__Moraxellaceae.g__Acinetobacter.s__" 0 0.01 0.07 0.02 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rubrivivax.s__" 0 0 0.05 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.7" 0 0 0.01 0.05 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.3" 0 0 0.02 0.05 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.1" 0 0 0.07 0.05 +"k__Bacteria.p__Bacteroidetes.c__.Saprospirae..o__.Saprospirales..f__Chitinophagaceae.g__Flavisolibacter.s__" 0 0 0.02 0.04 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__versatilis" 0 0 0.01 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Sphingobium.s__" 0 0.01 0.09 0.03 +"k__Bacteria.p__Nitrospirae.c__Nitrospira.o__Nitrospirales.f__.Thermodesulfovibrionaceae..g__GOUTA19.s__" 0.09 0.15 0.33 0.06 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Oxalobacteraceae.g__Herminiimonas.s__" 0 0 0 0.04 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Turicibacterales.f__Turicibacteraceae.g__Turicibacter.s__" 0 0.01 0.07 0.05 +"k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Clostridiaceae.g__Clostridium.s__" 0 0 0.09 0.05 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Bdellovibrionales.f__Bdellovibrionaceae.g__Bdellovibrio.s__bacteriovorus" 0 0 0.08 0.06 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Beijerinckiaceae.g__Beijerinckia.s__" 0 0 0.01 0.04 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Sporosarcina.s__ginsengi" 0 0.01 0.08 0.05 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.8" 0 0 0 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.9" 0 0 0.12 0.02 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Kineosporiaceae.g__Kineosporia.s__" 0 0 0.07 0.06 +"k__Bacteria.p__Verrucomicrobia.c__.Spartobacteria..o__.Chthoniobacterales..f__.Chthoniobacteraceae..g__DA101.s__" 0 0 0.01 0.04 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.3" 0.02 0.04 0.26 0.21 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Legionellales.f__Coxiellaceae.g__Aquicella.s__" 0 0 0.03 0.05 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Couchioplanes.s__" 0 0 0.19 0.03 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__rubrolavendulae" 0 0.01 0.16 0.05 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Actinoplanes.s__toevensis" 0 0.02 0.01 0.06 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Rhizobiaceae.g__Sinorhizobium.s__" 0 0 0.03 0.01 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Microbacteriaceae.g__Salinibacterium.s__" 0.01 0.02 0.16 0.02 +"k__Bacteria.p__Verrucomicrobia.c__Opitutae.o__Opitutales.f__Opitutaceae.g__Opitutus.s__" 0 0 0.03 0.05 +"k__Bacteria.p__Verrucomicrobia.c__.Spartobacteria..o__.Chthoniobacterales..f__.Chthoniobacteraceae..g__DA101.s__.1" 0 0 0 0.05 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+"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Desulfuromonadales.f__Geobacteraceae.g__Geobacter.s__" 0 0 0.12 0.03 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Friedmanniella.s__.1" 0 0 0.04 0.03 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.5" 0.04 0.02 0.26 0.08 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.6" 0 0.02 0.25 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.12" 0 0.01 0.08 0.01 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.1" 0 0 0.11 0.03 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__" 0 0.01 0.07 0.03 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0.06 0.01 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__.1" 0 0 0.06 0.06 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__foraminis" 0 0.01 0.13 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.13" 0 0 0.06 0.06 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Myxococcales.f__Myxococcaceae.g__Anaeromyxobacter.s__" 0 0 0.1 0.05 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__.2" 0 0 0.08 0.06 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.7" 0 0 0.09 0.1 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Brevibacillus.s__laterosporus" 0 0.01 0.1 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Actinosynnemataceae.g__Lentzea.s__violacea" 0 0 0.07 0.06 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8" 0.88 0.86 0.9 0.58 +"k__Bacteria.p__Verrucomicrobia.c__.Spartobacteria..o__.Chthoniobacterales..f__.Chthoniobacteraceae..g__DA101.s__.2" 0 0 0.02 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Caulobacterales.f__Caulobacteraceae.g__Phenylobacterium.s__.1" 0 0.04 0.07 0.06 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Enterobacteriales.f__Enterobacteriaceae.g__Dickeya.s__" 0 0.04 0.12 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.14" 0 0.01 0.04 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Erythrobacteraceae.g__Erythromicrobium.s__" 0 0.03 0.08 0.05 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__.2" 0 0.03 0.12 0.03 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new file mode 100644 index 0000000..6493737 --- /dev/null +++ b/data_application/88soils/soils_slection_prob.txt @@ -0,0 +1,2184 @@ +"" "prob_compLasso" "prob_lasso" "prob_elnet" "prob_rf" +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__" 0 0.05 0.1 0.02 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralis" 0.03 0.06 0.33 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__" 0 0.02 0.05 0.03 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__" 0 0 0.02 0 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__" 0 0 0.01 0.06 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__" 0.02 0.01 0.03 0.01 +"k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__" 0 0.01 0.06 0.08 +"k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__" 0 0 0.03 0.04 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__" 0 0.01 0.11 0.08 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__" 0 0 0.01 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.1" 0 0.03 0.26 0.03 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__chondroitinus" 0 0.02 0.05 0.05 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhodobacterales.f__Rhodobacteraceae.g__Rubellimicrobium.s__" 0.04 0.05 0.2 0.08 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.1" 0.01 0.03 0.11 0.08 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dyella.s__" 0.01 0.03 0.17 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Microbacteriaceae.g__Agromyces.s__" 0 0.04 0.04 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhodospirillales.f__Rhodospirillaceae.g__Magnetospirillum.s__" 0 0.02 0.05 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.2" 0 0.01 0.02 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Rhodobiaceae.g__Afifella.s__" 0.02 0.02 0.32 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__" 0 0 0.05 0 +"k__Bacteria.p__Bacteroidetes.c__.Saprospirae..o__.Saprospirales..f__Chitinophagaceae.g__Sediminibacterium.s__" 0 0 0.06 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Friedmanniella.s__" 0 0 0.01 0.04 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Bdellovibrionales.f__Bdellovibrionaceae.g__Bdellovibrio.s__" 0 0.01 0.01 0.04 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Sinobacteraceae.g__Steroidobacter.s__" 0 0 0.01 0.05 +"k__Bacteria.p__.Thermi..c__Deinococci.o__Deinococcales.f__Deinococcaceae.g__Deinococcus.s__" 0 0 0.17 0.07 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Leptothrix.s__" 0 0 0.02 0.03 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Polaromonas.s__" 0 0.01 0.06 0.03 +"k__Bacteria.p__Bacteroidetes.c__Cytophagia.o__Cytophagales.f__Cytophagaceae.g__Adhaeribacter.s__" 0 0 0.17 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Caulobacterales.f__Caulobacteraceae.g__Phenylobacterium.s__" 0 0 0.04 0.07 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__" 0.01 0.01 0.07 0.14 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__.1" 0 0 0.01 0.02 +"k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__" 0.09 0.13 0.32 0.13 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Sphingomonas.s__" 0 0.02 0.15 0.01 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.2" 0.31 0.4 0.54 0.32 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Pedomicrobium.s__" 0.29 0.3 0.58 0.08 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.3" 0 0 0.01 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Pedomicrobium.s__.1" 0 0 0.01 0.02 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Couchioplanes.s__caeruleus" 0 0 0 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.4" 0 0 0.03 0.06 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__vaccae" 0 0.02 0.22 0.06 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Lactococcus.s__" 0 0 0.02 0.03 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__" 0.04 0.04 0.14 0.04 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+"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Pseudomonadales.f__Moraxellaceae.g__Acinetobacter.s__" 0 0 0.07 0.05 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rubrivivax.s__" 0 0.01 0.09 0.09 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.7" 0 0 0.01 0.05 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.3" 0 0 0.02 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.1" 0 0.01 0.07 0.03 +"k__Bacteria.p__Bacteroidetes.c__.Saprospirae..o__.Saprospirales..f__Chitinophagaceae.g__Flavisolibacter.s__" 0 0 0.05 0.06 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__versatilis" 0 0 0 0.01 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Sphingobium.s__" 0 0.01 0.14 0.05 +"k__Bacteria.p__Nitrospirae.c__Nitrospira.o__Nitrospirales.f__.Thermodesulfovibrionaceae..g__GOUTA19.s__" 0.19 0.34 0.59 0.07 +"k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Oxalobacteraceae.g__Herminiimonas.s__" 0 0 0.01 0.01 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Turicibacterales.f__Turicibacteraceae.g__Turicibacter.s__" 0 0.03 0.03 0.07 +"k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Clostridiaceae.g__Clostridium.s__" 0 0.03 0.02 0.03 +"k__Bacteria.p__Proteobacteria.c__Deltaproteobacteria.o__Bdellovibrionales.f__Bdellovibrionaceae.g__Bdellovibrio.s__bacteriovorus" 0 0.02 0.09 0.03 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Beijerinckiaceae.g__Beijerinckia.s__" 0 0 0 0.1 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Sporosarcina.s__ginsengi" 0 0.03 0.15 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.8" 0 0 0 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.9" 0 0.02 0.07 0.1 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Kineosporiaceae.g__Kineosporia.s__" 0 0 0.07 0.05 +"k__Bacteria.p__Verrucomicrobia.c__.Spartobacteria..o__.Chthoniobacterales..f__.Chthoniobacteraceae..g__DA101.s__" 0 0 0.07 0.05 +"k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__.3" 0.05 0.09 0.31 0.31 +"k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Legionellales.f__Coxiellaceae.g__Aquicella.s__" 0 0 0.05 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Couchioplanes.s__" 0 0 0.18 0.1 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__rubrolavendulae" 0 0 0.21 0.06 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Micromonosporaceae.g__Actinoplanes.s__toevensis" 0 0.03 0.12 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Rhizobiaceae.g__Sinorhizobium.s__" 0 0.02 0.07 0.06 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Microbacteriaceae.g__Salinibacterium.s__" 0.01 0.03 0.1 0.02 +"k__Bacteria.p__Verrucomicrobia.c__Opitutae.o__Opitutales.f__Opitutaceae.g__Opitutus.s__" 0 0.01 0.04 0.01 +"k__Bacteria.p__Verrucomicrobia.c__.Spartobacteria..o__.Chthoniobacterales..f__.Chthoniobacteraceae..g__DA101.s__.1" 0 0 0 0.02 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.10" 0 0 0.04 0.02 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+"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Friedmanniella.s__.1" 0 0 0.06 0.03 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.5" 0.01 0.03 0.19 0.08 +"k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.6" 0.01 0.04 0.28 0.06 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.12" 0 0 0.05 0.05 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.1" 0 0 0.1 0.04 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__" 0 0 0.04 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.1" 0 0 0 0.07 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Hyphomicrobium.s__" 0.14 0.17 0.43 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Methylocystaceae.g__Methylosinus.s__" 0 0 0.09 0.04 +"k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.2" 0 0 0.03 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Devosia.s__" 0 0 0.04 0.04 +"k__Bacteria.p__Nitrospirae.c__Nitrospira.o__Nitrospirales.f__Nitrospiraceae.g__Nitrospira.s__" 0 0.01 0.27 0.04 +"k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptostreptococcaceae.g__Clostridium.s__ruminantium" 0 0.01 0.07 0.04 +"k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Sphingomonas.s__.1" 0 0.01 0.1 0.04 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__.1" 0 0 0.08 0.06 +"k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__foraminis" 0 0.01 0.11 0.05 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+"Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella" 0.14 0.12 0.61 0.1 +"Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter" 0 0 0.24 0.07 +"Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella" 0.01 0 0.15 0.09 +"Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia" 0.02 0 0.32 0.05 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides" 0.35 0.1 0.7 0.06 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella" 0.17 0.12 0.69 0.04 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas" 0.11 0.06 0.6 0.04 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Odoribacter" 0.15 0.03 0.72 0.05 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Parabacteroides" 0.26 0.08 0.63 0.03 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Porphyromonas" 0.03 0.03 0.17 0.07 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Prevotellaceae.Paraprevotella" 0.09 0.05 0.52 0.03 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Prevotellaceae.Prevotella" 0.2 0.1 0.56 0.02 +"Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes" 0.57 0.3 0.87 0.16 +"Bacteria.Bacteroidetes.Flavobacteria.Flavobacteriales.Flavobacteriaceae.Capnocytophaga" 0 0 0.15 0.02 +"Bacteria.Firmicutes.Bacilli.Bacillales.Bacillaceae.Bacillus" 0.01 0 0.29 0.05 +"Bacteria.Firmicutes.Bacilli.Bacillales.Bacillales_incertae_sedis.Rummeliibacillus" 0 0 0.09 0.06 +"Bacteria.Firmicutes.Bacilli.Bacillales.Staphylococcaceae.Gemella" 0.08 0.08 0.39 0.16 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Aerococcaceae.Abiotrophia" 0.17 0.11 0.58 0.05 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Carnobacteriaceae.Granulicatella" 0.08 0.07 0.55 0.13 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Enterococcaceae.Enterococcus" 0.03 0.04 0.36 0.07 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Lactobacillaceae.Lactobacillus" 0.08 0.02 0.61 0.11 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Leuconostocaceae.Weissella" 0 0 0.09 0.05 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Streptococcaceae.Lactococcus" 0.03 0.03 0.42 0.04 +"Bacteria.Firmicutes.Bacilli.Lactobacillales.Streptococcaceae.Streptococcus" 0.07 0.09 0.58 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium" 0.81 0.52 0.96 0.24 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Eubacteriaceae.Anaerofustis" 0.02 0.02 0.37 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Eubacteriaceae.Eubacterium" 0.1 0.08 0.66 0.06 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XI.Anaerococcus" 0 0 0.14 0.09 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XI.Finegoldia" 0.09 0.09 0.46 0.04 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XI.Parvimonas" 0.01 0.01 0.27 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XI.Peptoniphilus" 0 0 0.08 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XIII.Anaerovorax" 0.39 0.2 0.76 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XIII.Mogibacterium" 0.08 0.06 0.51 0.11 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XIV.Blautia" 0.12 0.08 0.67 0.1 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Incertae_Sedis_XIV.Howardella" 0.01 0.01 0.34 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Anaerostipes" 0.04 0.06 0.26 0.14 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Coprococcus" 0.19 0.14 0.71 0.08 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea" 0.45 0.26 0.82 0.1 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Oribacterium" 0 0 0.12 0.09 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Pseudobutyrivibrio" 0.02 0.02 0.3 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Robinsoniella" 0 0 0.08 0.09 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Roseburia" 0.31 0.17 0.77 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Peptostreptococcaceae.Peptostreptococcus" 0 0 0.17 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Acetanaerobacterium" 0 0 0.11 0.05 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Anaerofilum" 0.04 0.04 0.49 0.08 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Anaerotruncus" 0.2 0.08 0.63 0.03 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Butyricicoccus" 0.2 0.13 0.67 0.04 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Faecalibacterium" 0.16 0.02 0.62 0 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Lactonifactor" 0 0 0.19 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter" 0.54 0.21 0.64 0.13 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Ruminococcus" 0.3 0.17 0.76 0.08 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Sporobacter" 0.04 0.07 0.28 0.1 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Subdoligranulum" 0.18 0.09 0.59 0.1 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus" 0.78 0.53 0.93 0.36 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella" 0.77 0.54 0.91 0.39 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Dialister" 0.34 0.18 0.52 0.04 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megamonas" 0.39 0.26 0.89 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera" 0.46 0.31 0.79 0.08 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Mitsuokella" 0.2 0.13 0.61 0.08 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Phascolarctobacterium" 0.23 0.09 0.73 0.07 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Succiniclasticum" 0.19 0.11 0.72 0.06 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Veillonella" 0.31 0.19 0.84 0.22 +"Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Zymophilus" 0.4 0.3 0.68 0.12 +"Bacteria.Firmicutes.Erysipelotrichi.Erysipelotrichales.Erysipelotrichaceae.Catenibacterium" 0.26 0.13 0.74 0.2 +"Bacteria.Firmicutes.Erysipelotrichi.Erysipelotrichales.Erysipelotrichaceae.Coprobacillus" 0.2 0.07 0.46 0.16 +"Bacteria.Firmicutes.Erysipelotrichi.Erysipelotrichales.Erysipelotrichaceae.Holdemania" 0.23 0.12 0.74 0.06 +"Bacteria.Firmicutes.Erysipelotrichi.Erysipelotrichales.Erysipelotrichaceae.Solobacterium" 0.13 0.04 0.5 0.02 +"Bacteria.Firmicutes.Erysipelotrichi.Erysipelotrichales.Erysipelotrichaceae.Turicibacter" 0.21 0.14 0.82 0.03 +"Bacteria.Fusobacteria.Fusobacteria.Fusobacteriales.Fusobacteriaceae.Fusobacterium" 0.03 0.01 0.5 0.08 +"Bacteria.Fusobacteria.Fusobacteria.Fusobacteriales.Leptotrichiaceae.Leptotrichia" 0 0 0.09 0.08 +"Bacteria.Lentisphaerae.Lentisphaeria.Victivallales.Victivallaceae.Victivallis" 0.01 0 0.2 0.07 +"Bacteria.Proteobacteria.Alphaproteobacteria.Rhizobiales.Methylobacteriaceae.Methylobacterium" 0 0 0.09 0.08 +"Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Alcaligenaceae.Parasutterella" 0.19 0.14 0.71 0.06 +"Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Alcaligenaceae.Sutterella" 0.17 0.07 0.57 0.1 +"Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter" 0.15 0.07 0.61 0.07 +"Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria" 0.04 0.03 0.44 0.06 +"Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio" 0.04 0.02 0.25 0.1 +"Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter" 0.04 0.02 0.29 0.06 +"Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio" 0.03 0.02 0.27 0.09 +"Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas" 0.16 0.11 0.61 0.11 +"Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas" 0.01 0.01 0.24 0.1 +"Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus" 0 0 0.28 0.08 +"Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter" 0 0.01 0.2 0.05 +"Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia" 0.15 0.06 0.44 0.04 diff --git a/data_application/BMI/boot/BMI_boot_compLasso.RData b/data_application/BMI/boot/BMI_boot_compLasso.RData new file mode 100644 index 0000000000000000000000000000000000000000..af312d4b11d756e01855454bd72e45681b866a1d 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zF6r{B!?DBG%{x+zj7PtYZ64#%b9&pIjEHka_&N5AmtkNvwp9AsWBKx7v35)T7z|Ru~$-i_@v9Lp+xai0R0J<+wlv|gfx$bDcXQw9j;?q6>DT|fRhzrJ9%t_7 cL)&He)J2#9cg5bH1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0 0) >= 0.01] +x[x == 0] <- 0.5 +x <- x/rowSums(x) # relative abundance +taxa <- log(x) +print(paste('number of features:', dim(taxa)[2], sep=':')) + +# # metadata +mf <- read.csv("../data_application/88soils/88soils_modified_metadata.txt", sep='\t', row.names=1) +y <- mf$ph[match(rownames(count), rownames(mf))] +print(paste('number of samples:', length(y), sep=':')) + +# save processed data +save(y, taxa, file='../data_application/88soils/soil_ph.RData') + + +#################################### +## compositional lasso ############# +# #################################### +print('compLasso') +out_compLasso = boot_stab(num_boot = 100, method = 'compLasso', + dat_file = '../data_application/88soils/soils_ph.RData') + +save(out_compLasso, file=paste0(dir, '/soils_ph_compLasso.RData')) + +############################################################# +# Lasso with glmnet default lambda sequence ############# +############################################################# +print('Lasso') +out_lasso = boot_stab(num_boot = 100, method = 'lasso', lambda.grid = NULL, + dat_file = '../data_application/88soils/soils_ph.RData') + +save(out_lasso, file=paste0(dir, '/soils_ph_lasso.RData', sep='')) + + +# ############################################################## +# ## Elastic Net with self defined lambda (NULL not allowed) ############# +# ############################################################## +print('Elnet') +out_elnet = boot_stab(num_boot = 100, method = 'elnet', + dat_file = '../data_application/88soils/soils_ph.RData') + +save(out_elnet, file=paste0(dir, '/soils_ph_elnet.RData', sep='')) + + +############################################################## +## Random Forest with Altman feature selection ############# +############################################################## +print('RF') +out_rf = boot_stab(num_boot = 100, method = 'RF', method.perm='altmann', mtry.grid=seq(30, 60, 5), + dat_file = '../data_application/88soils/soils_ph.RData') + +save(out_rf, file=paste0(dir, '/soils_ph_rf.RData', sep='')) + +######################################################################## +############### double bootstrap: random forest ################## +# ###################################################################### +print('double boot RF') +boot_rf = boot_stab_data(num_boot=100, method = 'RF', + data_file='../data_application/88soils/soils_ph.RData') +save(boot_rf, file=paste0(dir, '/soils_ph_boot_rf.RData')) + +######################################################################## +############### double bootstrap: compositional lasso ################## +# ###################################################################### +print('double boot compLasso') +boot_compLasso = boot_stab_data(num_boot=100, method = 'compLasso', + data_file='../data_application/88soils/soils_ph.RData') +save(boot_compLasso, file=paste0(dir, '/soils_ph_boot_compLasso.RData')) + + + + + + + + + + diff --git a/data_application/code_applications/BMI_stab_application.R b/data_application/code_applications/BMI_stab_application.R new file mode 100644 index 0000000..fc4f01d --- /dev/null +++ b/data_application/code_applications/BMI_stab_application.R @@ -0,0 +1,105 @@ +######################################################################################################### +### This is to estimate stablity & MSE using bootstrap on BMI_Lin_2014 dataset ################# +######################################################################################################### + +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] + +source('cv_method.R') +source('getStability.R') +source('stab_data_applications.R') +source('bootstrap_test_compLasso_rf.R') + +##################################### +##### data preparation ############## +##################################### +count <- as.matrix(read.table("../../code_Lin/cvs/data/combo_count_tab.txt")) + +# filter 1% + add pesudo count +depth <- sapply(strsplit(colnames(count), "\\."), length) +x <- count[, depth == 6 & colMeans(count > 0) >= 0.01] +x[x == 0] <- 0.5 +x <- x/rowSums(x) # relative abundance +taxa <- log(x) +print(paste('number of features:', dim(taxa)[2], sep=':')) + +# metadata +demo <- read.delim("../../code_Lin/cvs/data/demographic.txt") +y <- demo$bmi[match(rownames(count), demo$pid)] +print(paste('number of samples:', length(y), sep=':')) + +# save processed data +save(y, taxa, file='../data_application/BMI/BMI_Lin_2014.RData') + +# #################################### +# ## compositional lasso ############# +# #################################### +print('compLasso') +out_compLasso = boot_stab(num_boot = 100, method = 'compLasso', + dat_file = '../data_application/BMI/BMI_Lin_2014.RData') + +save(out_compLasso, file=paste0(dir, '/BMI_compLasso.RData')) + +############################################################## +## Lasso with glmnet default lambda sequence ############# +############################################################## +print('Lasso') +out_lasso = boot_stab(num_boot = 100, method = 'lasso', lambda.grid = NULL, + dat_file = '../data_application/BMI/BMI_Lin_2014.RData') + +save(out_lasso, file=paste0(dir, '/BMI_lasso.RData', sep='')) + + +# ############################################################## +# ## Elastic Net with self defined lambda (NULL not allowed) ############# +# ############################################################## +print('Elnet') +out_elnet = boot_stab(num_boot = 100, method = 'elnet', + dat_file = '../data_application/BMI/BMI_Lin_2014.RData') + +save(out_elnet, file=paste0(dir, '/BMI_elnet.RData', sep='')) + + +# ############################################################## +# ## Random Forest with Altman feature selection ############# +# ############################################################## +print('RF') +out_rf = boot_stab(num_boot = 100, method = 'RF', method.perm='altmann', + dat_file = '../data_application/BMI/BMI_Lin_2014.RData') + +save(out_rf, file=paste0(dir, '/BMI_rf.RData', sep='')) + + +############################################################# +# Random Forest with Janitza feature selection ############# +############################################################# +print("RF_JNT") +dir = '../data_application' +out_rf_jnt= boot_stab(num_boot = 100, method = 'RF', method.perm='janitza', + dat_file = '../data_application/BMI_Lin_2014.RData') + +save(out_rf_jnt, file=paste0(dir, '/BMI_rf_jnt.RData', sep='')) + + +######################################################################## +############### double bootstrap: random forest ################## +# ###################################################################### +print('double boot RF') +boot_rf = boot_stab_data(num_boot=100, method = 'RF', + data_file='../data_application/BMI_Lin_2014.RData') +save(boot_rf, file=paste0(dir, '/BMI_boot_rf.RData')) + +######################################################################## +############### double bootstrap: compositional lasso ################## +# ###################################################################### +print('double boot compLasso') +boot_compLasso = boot_stab_data(num_boot=100, method = 'compLasso', + data_file='../data_application/BMI_Lin_2014.RData') +save(boot_compLasso, file=paste0(dir, '/BMI_boot_compLasso.RData')) + + + + + + diff --git a/data_application/code_applications/data_processing.R b/data_application/code_applications/data_processing.R new file mode 100644 index 0000000..f6db1a0 --- /dev/null +++ b/data_application/code_applications/data_processing.R @@ -0,0 +1,42 @@ +############################################################################################################### +######## save Python output into R rdata file to speed up reading OTU files ######## ######## ######## ######## +############################################################################################################### + + +# ################################ +# ## 88 soils #################### +# ################################ + +# soil_otu = as.matrix(read.csv("../data_application/88soils/88soils_genus_table.txt", sep='\t', row.names=1)) +# save(soil_otu, file='../data_application/88soils/88soils_genus_table.RData') + +# ################################ +# ## oral age #################### +# ################################ + +# oral_otu = as.matrix(read.csv("../data_application/oral/oral_genus_table.txt", sep='\t', row.names=1)) +# save(oral_otu, file='../data_application/oral/oral_genus_table.RData') + +# ################################ +# ## central park ################ +# ################################ + +# park_otu = as.matrix(read.csv("../data_application/centralPark/soi_centralPark_genus_table.txt", sep='\t', row.names=1)) +# save(park_otu, file='../data_application/centralPark/soi_centralPark_genus_table.RData') + + +# ################################ +# ## Vitamin D #################### +# ################################ + +# vit_otu = as.matrix(read.csv("../data_application/vitaminD/vitaminD_genus_table.txt", sep='\t', row.names=1)) +# save(vit_otu, file='../data_application/vitaminD/vitaminD_genus_table.RData') + +################################ +## skin age #################### +################################ + +# skin_otu = as.matrix(read.csv("../data_application/skin/skin_genus_table.txt", sep='\t', row.names=1)) +# save(skin_otu, file='../data_application/skin/skin_genus_table.RData') + + diff --git a/data_application/code_applications/run_88soils.sh b/data_application/code_applications/run_88soils.sh new file mode 100755 index 0000000..651c903 --- /dev/null +++ b/data_application/code_applications/run_88soils.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N 88soils_ph +#PBS -l walltime=100:00:00 +#PBS -l nodes=1:ppn=8 +#PBS -l mem=10gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/data_applications +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-c-env +Rscript 88soils_stab_application.R $TMPDIR +source deactivate r-c-env + +#mv $tmp/outdir ./outdir diff --git a/data_application/code_applications/run_BMI.sh b/data_application/code_applications/run_BMI.sh new file mode 100755 index 0000000..8b5995b --- /dev/null +++ b/data_application/code_applications/run_BMI.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N BMI_stab +#PBS -l walltime=100:00:00 +#PBS -l nodes=1:ppn=8 +#PBS -l mem=10gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/data_applications +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-c-env +Rscript BMI_stab_application.R $TMPDIR +source deactivate r-c-env + +#mv $tmp/outdir ./outdir diff --git a/data_application/code_applications/run_data_applications.sh b/data_application/code_applications/run_data_applications.sh new file mode 100755 index 0000000..fcc4b23 --- /dev/null +++ b/data_application/code_applications/run_data_applications.sh @@ -0,0 +1,29 @@ +#!/bin/bash + +#PBS -N data_applications +#PBS -l walltime=50:00:00 +#PBS -l nodes=1:ppn=8 +#PBS -l mem=10gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/data_applications +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-c-env +Rscript BMI_stab_application.R $TMPDIR +Rscript 88soils_stab_application.R $TMPDIR +Rscript data_processing.R $TMPDIR +source deactivate r-c-env + +#mv $tmp/outdir ./outdir diff --git a/data_application/notebooks_application/.DS_Store b/data_application/notebooks_application/.DS_Store new file mode 100644 index 0000000000000000000000000000000000000000..5008ddfcf53c02e82d7eee2e57c38e5672ef89f6 GIT binary patch literal 6148 zcmeH~Jr2S!425mzP>H1@V-^m;4Wg<&0T*E43hX&L&p$$qDprKhvt+--jT7}7np#A3 zem<@ulZcFPQ@L2!n>{z**++&mCkOWA81W14cNZlEfg7;MkzE(HCqgga^y>{tEnwC%0;vJ&^%eQ zLs35+`xjp>T0\n", + "\t

  • 20
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  • 4
  • \n", + "\n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 20\n", + "\\item 4\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 20\n", + "2. 4\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 20 4" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "table = rbind(bmi_gut, soil_park, soil_88, oral_age, skin_age)\n", + "dim(table)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    datasetmethodmsestability
    bmi_gut lasso 24.07 0.14
    bmi_gut elent 25.33 0.23
    bmi_gut rf 4.99 0.02
    bmi_gut compLasso21.59 0.22
    soil_parklasso 0.15 0.23
    soil_parkelent 0.12 0.27
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " dataset & method & mse & stability\\\\\n", + "\\hline\n", + "\t bmi\\_gut & lasso & 24.07 & 0.14 \\\\\n", + "\t bmi\\_gut & elent & 25.33 & 0.23 \\\\\n", + "\t bmi\\_gut & rf & 4.99 & 0.02 \\\\\n", + "\t bmi\\_gut & compLasso & 21.59 & 0.22 \\\\\n", + "\t soil\\_park & lasso & 0.15 & 0.23 \\\\\n", + "\t soil\\_park & elent & 0.12 & 0.27 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| dataset | method | mse | stability |\n", + "|---|---|---|---|\n", + "| bmi_gut | lasso | 24.07 | 0.14 |\n", + "| bmi_gut | elent | 25.33 | 0.23 |\n", + "| bmi_gut | rf | 4.99 | 0.02 |\n", + "| bmi_gut | compLasso | 21.59 | 0.22 |\n", + "| soil_park | lasso | 0.15 | 0.23 |\n", + "| soil_park | elent | 0.12 | 0.27 |\n", + "\n" + ], + "text/plain": [ + " dataset method mse stability\n", + "1 bmi_gut lasso 24.07 0.14 \n", + "2 bmi_gut elent 25.33 0.23 \n", + "3 bmi_gut rf 4.99 0.02 \n", + "4 bmi_gut compLasso 21.59 0.22 \n", + "5 soil_park lasso 0.15 0.23 \n", + "6 soil_park elent 0.12 0.27 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table)" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " dataset method mse stability \n", + " bmi_gut :4 compLasso:5 Min. : 0.0500 Min. :0.020 \n", + " soil_park:4 elent :5 1st Qu.: 0.2525 1st Qu.:0.170 \n", + " soil_88 :4 lasso :5 Median :12.9250 Median :0.230 \n", + " oral_age :4 rf :5 Mean :26.8095 Mean :0.248 \n", + " skin_age :4 3rd Qu.:43.7300 3rd Qu.:0.315 \n", + " Max. :98.2900 Max. :0.490 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(table)" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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AESIAESIAESiEcCzCDF411jn0lACUz8K+hKh5K48Gid5pTBbVwmO5Tr3Xtc0i4t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\nAAlUFQGfCpa8X7wqRFwhcWQdO2Oo2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P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cntQoHWYZfnNvwEdDqd1bFjR/M2CnrFR9ed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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width=7, repr.plot.height=4)\n", + "\n", + "ggscatter(table, x = \"stability\", y = \"mse\",\n", + " color = \"dataset\", \n", + " label = \"method\", repel = TRUE) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " legend.position='right',\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\")) " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# oral_age (blue): rf best (low MSE, relatively high stab -- very close to highest lasso)\n", + "# skin_age (pink): compLasso if stab; rf if MSE\n", + "# bmi_gut (orange): rf (low mse yet super low stability); compLasso (lower stability than elnet but lower mse)\n", + "# soil_park (greenish orange): lasso/compLasso\n", + "# soil_88 (green): compLasso " + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ik1atSQ9u3byxVXXCHVqlWTrVu3yqRJk8QwDPn999/lrrvukhEjRkjjxo11Xtu3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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width=4, repr.plot.height=3)\n", + "\n", + "ggplot(table, aes(x=stability, y=mse, color=dataset)) + geom_point(alpha = 0.5) + \n", + " labs(title='Data Applications', x='Stability', y='MSE') +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " legend.position='right',\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\")) \n", + "\n", + "# no clear association between mse and stability\n", + "# exists high mse high stab or low mse high stab\n", + "# issue with mse: range differs by dataset (re-scale to [0, 1]?)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ECAr6wuQAqkKObDGQ9gW4sVZYTliGk4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\nz3GGd4bwBK+irH9fS6QahK/mQcstR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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width=4, repr.plot.height=3)\n", + "\n", + "ggplot(table, aes(x=stability, y=mse, color=method)) + geom_point(alpha = 0.5) + \n", + " labs(title='Data Applications', x='Stability', y='MSE') +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " legend.position='right',\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\")) " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/1.1. BMI_DataPreparation_ParameterGrid.ipynb b/data_application/notebooks_application/1.1. BMI_DataPreparation_ParameterGrid.ipynb new file mode 100644 index 0000000..f68bfa4 --- /dev/null +++ b/data_application/notebooks_application/1.1. BMI_DataPreparation_ParameterGrid.ipynb @@ -0,0 +1,1303 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### BMI dataset in Lin et al, 2014 \n", + "##### use unrarifed count table and retain microbes only at genus level (+ present at least one sample)\n", + "#### add 0.5 as pseudo count to zero counts" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas & Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Brachyspiraceae.Brachyspira & Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Spirochaetaceae.Treponema & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter & Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\\\\\n", + "\\hline\n", + "\t3001 & 1 & 5067 & 0 & 4153 & 0 & 0 & 0 & 534 & 0 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3003 & 0 & 4659 & 0 & 2177 & 0 & 0 & 0 & 105 & 0 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3004 & 0 & 4342 & 0 & 3008 & 0 & 2 & 0 & 134 & 0 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3006 & 8 & 2910 & 0 & 4147 & 0 & 0 & 0 & 459 & 0 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3007 & 5 & 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Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Brachyspiraceae.Brachyspira | Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Spirochaetaceae.Treponema | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter | Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 3001 | 1 | 5067 | 0 | 4153 | 0 | 0 | 0 | 534 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3003 | 0 | 4659 | 0 | 2177 | 0 | 0 | 0 | 105 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3004 | 0 | 4342 | 0 | 3008 | 0 | 2 | 0 | 134 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3006 | 8 | 2910 | 0 | 4147 | 0 | 0 | 0 | 459 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3007 | 5 | 5630 | 0 | 4705 | 0 | 0 | 0 | 214 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3008 | 5 | 1868 | 0 | 1619 | 0 | 0 | 0 | 17 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "\n" + ], + "text/plain": [ + " Bacteria.Actinobacteria Bacteria.Bacteroidetes Bacteria.Cyanobacteria\n", + "3001 1 5067 0 \n", + "3003 0 4659 0 \n", + "3004 0 4342 0 \n", + "3006 8 2910 0 \n", + "3007 5 5630 0 \n", + "3008 5 1868 0 \n", + " Bacteria.Firmicutes Bacteria.Fusobacteria Bacteria.Lentisphaerae\n", + "3001 4153 0 0 \n", + "3003 2177 0 0 \n", + "3004 3008 0 2 \n", + "3006 4147 0 0 \n", + "3007 4705 0 0 \n", + "3008 1619 0 0 \n", + " Bacteria.OD1 Bacteria.Proteobacteria Bacteria.Spirochaetes\n", + "3001 0 534 0 \n", + "3003 0 105 0 \n", + "3004 0 134 0 \n", + "3006 0 459 0 \n", + "3007 0 214 0 \n", + "3008 0 17 0 \n", + " Bacteria.Synergistetes ...\n", + "3001 0 ...\n", + "3003 0 ...\n", + "3004 0 ...\n", + "3006 0 ...\n", + "3007 0 ...\n", + "3008 0 ...\n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Moraxellaceae.Enhydrobacter\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Vibrionales.Vibrionaceae.Vibrio\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Lysobacter\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Brachyspiraceae.Brachyspira\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Spirochaetes.Spirochaetes.Spirochaetales.Spirochaetaceae.Treponema\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# unrarefied microbe count table\n", + "count <- as.matrix(read.table(\"../../code_Lin/cvs/data/combo_count_tab.txt\")) \n", + "dim(count)\n", + "head(count)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas & ... & Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter & Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria & Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio & Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter & Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio & Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas & Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter & Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\\\\\n", + "\\hline\n", + "\t3001 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2878 & 0 & 69 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3003 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 578 & 180 & 0 & ... & 2 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3004 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 3503 & 143 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3006 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 2162 & 1 & 0 & ... & 3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3007 & 0 & 0 & 0 & 2 & 0 & 0 & 0 & 4453 & 0 & 0 & ... & 9 & 0 & 0 & 1 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t3008 & 0 & 0 & 0 & 1 & 0 & 0 & 0 & 950 & 237 & 19 & ... & 4 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas | ... | Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter | Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria | Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio | Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter | Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio | Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas | Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter | Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 3001 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2878 | 0 | 69 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3003 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 578 | 180 | 0 | ... | 2 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3004 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 3503 | 143 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3006 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2162 | 1 | 0 | ... | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3007 | 0 | 0 | 0 | 2 | 0 | 0 | 0 | 4453 | 0 | 0 | ... | 9 | 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 3008 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | 950 | 237 | 19 | ... | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "\n" + ], + "text/plain": [ + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella\n", + "3001 0 \n", + "3003 0 \n", + 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Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella\n", + "3001 0 \n", + "3003 180 \n", + "3004 143 \n", + "3006 1 \n", + "3007 0 \n", + "3008 237 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas\n", + "3001 69 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 19 \n", + " ...\n", + "3001 ...\n", + "3003 ...\n", + "3004 ...\n", + "3006 ...\n", + "3007 ...\n", + "3008 ...\n", + " Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter\n", + "3001 0 \n", + "3003 2 \n", + "3004 0 \n", + "3006 3 \n", + "3007 9 \n", + "3008 4 \n", + " Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + 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Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 \n", + " Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\n", + "3001 0 \n", + "3003 0 \n", + "3004 0 \n", + "3006 0 \n", + "3007 0 \n", + "3008 0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# retain only microbes at genus level and exist at least one sample\n", + "depth <- sapply(strsplit(colnames(count), \"\\\\.\"), length)\n", + "x <- count[, depth == 6 & colSums(count != 0) >= 1] # 98 * 87\n", + "dim(x)\n", + "head(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n", + " & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas & ... & Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter & Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria & Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio & Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter & Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio & Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas & Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter & Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\\\\\n", + "\\hline\n", + "\t3001 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -0.8429202 & -9.500918 & -4.573665 & ... & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 \\\\\n", + "\t3003 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -2.2258386 & -3.392456 & -9.278560 & ... & -7.892265 & -9.278560 & -9.278560 & -8.585412 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 \\\\\n", + "\t3004 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -0.4151243 & -3.613655 & -9.269646 & ... & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 \\\\\n", + "\t3006 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -0.7426639 & -8.421453 & -9.114600 & ... & -7.322841 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 \\\\\n", + "\t3007 & -9.643356 & -9.643356 & -9.643356 & -8.257061 & -9.643356 & -9.643356 & -9.643356 & -0.5488753 & -9.643356 & -9.643356 & ... & -6.752984 & -9.643356 & -9.643356 & -8.950209 & -9.643356 & -9.643356 & -9.643356 & -9.643356 & -9.643356 & -9.643356 \\\\\n", + "\t3008 & -8.387085 & -8.387085 & -8.387085 & -7.693937 & -8.387085 & -8.387085 & -8.387085 & -0.8374753 & -2.225877 & -4.749498 & ... & -6.307643 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas | ... | Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter | Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria | Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio | Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter | Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio | Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas | Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter | Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 3001 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -0.8429202 | -9.500918 | -4.573665 | ... | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 |\n", + "| 3003 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -2.2258386 | -3.392456 | -9.278560 | ... | -7.892265 | -9.278560 | -9.278560 | -8.585412 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 |\n", + "| 3004 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -0.4151243 | -3.613655 | -9.269646 | ... | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 |\n", + "| 3006 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -0.7426639 | -8.421453 | -9.114600 | ... | -7.322841 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 |\n", + "| 3007 | -9.643356 | -9.643356 | -9.643356 | -8.257061 | -9.643356 | -9.643356 | -9.643356 | -0.5488753 | -9.643356 | -9.643356 | ... | -6.752984 | -9.643356 | -9.643356 | -8.950209 | -9.643356 | -9.643356 | -9.643356 | -9.643356 | -9.643356 | -9.643356 |\n", + "| 3008 | -8.387085 | -8.387085 | -8.387085 | -7.693937 | -8.387085 | -8.387085 | -8.387085 | -0.8374753 | -2.225877 | -4.749498 | ... | -6.307643 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 |\n", + "\n" + ], + "text/plain": [ + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -8.257061 \n", + "3008 -7.693937 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides\n", + "3001 -0.8429202 \n", + "3003 -2.2258386 \n", + "3004 -0.4151243 \n", + "3006 -0.7426639 \n", + "3007 -0.5488753 \n", + "3008 -0.8374753 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella\n", + "3001 -9.500918 \n", + "3003 -3.392456 \n", + "3004 -3.613655 \n", + "3006 -8.421453 \n", + "3007 -9.643356 \n", + "3008 -2.225877 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas\n", + "3001 -4.573665 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -4.749498 \n", + " ...\n", + "3001 ...\n", + "3003 ...\n", + "3004 ...\n", + "3006 ...\n", + "3007 ...\n", + "3008 ...\n", + " Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter\n", + "3001 -9.500918 \n", + "3003 -7.892265 \n", + "3004 -9.269646 \n", + "3006 -7.322841 \n", + "3007 -6.752984 \n", + "3008 -6.307643 \n", + " Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter\n", + "3001 -9.500918 \n", + "3003 -8.585412 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -8.950209 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# add pesudo count 0.5\n", + "x[x == 0] <- 0.5\n", + "x <- x/rowSums(x) # relative abundance\n", + "taxa <- log(x)\n", + "dim(taxa)\n", + "head(taxa)" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    pidvisitdatebirthdatesex1m2fheightcmweightkgvdatebdateageheightmbmizbmiuszbmicatusbmicat1norm2ow3ob
    3029 12-Apr-101-May-86 1 172.43 83.0 18364 9617 23.94798 1.7243 27.91595 NA 2
    3030 12-Apr-1022-May-871 178.87 70.3 18364 10003 22.89117 1.7887 21.97254 NA 1
    3031 20-Apr-101-Dec-82 2 157.60 52.0 18372 8370 27.38398 1.5760 20.93586 NA 1
    3032 22-Apr-109-Feb-86 1 188.10 89.6 18374 9536 24.19712 1.8810 25.32389 NA 2
    3033 22-Apr-109-Apr-86 2 170.03 65.2 18374 9595 24.03559 1.7003 22.55259 NA 1
    3034 28-Apr-106-Feb-86 2 162.16 59.9 18380 9533 24.22177 1.6216 22.77925 NA 1
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " pid & visitdate & birthdate & sex1m2f & heightcm & weightkg & vdate & bdate & age & heightm & bmi & zbmius & zbmicatus & bmicat1norm2ow3ob\\\\\n", + "\\hline\n", + "\t 3029 & 12-Apr-10 & 1-May-86 & 1 & 172.43 & 83.0 & 18364 & 9617 & 23.94798 & 1.7243 & 27.91595 & NA & & 2 \\\\\n", + "\t 3030 & 12-Apr-10 & 22-May-87 & 1 & 178.87 & 70.3 & 18364 & 10003 & 22.89117 & 1.7887 & 21.97254 & NA & & 1 \\\\\n", + "\t 3031 & 20-Apr-10 & 1-Dec-82 & 2 & 157.60 & 52.0 & 18372 & 8370 & 27.38398 & 1.5760 & 20.93586 & NA & & 1 \\\\\n", + "\t 3032 & 22-Apr-10 & 9-Feb-86 & 1 & 188.10 & 89.6 & 18374 & 9536 & 24.19712 & 1.8810 & 25.32389 & NA & & 2 \\\\\n", + "\t 3033 & 22-Apr-10 & 9-Apr-86 & 2 & 170.03 & 65.2 & 18374 & 9595 & 24.03559 & 1.7003 & 22.55259 & NA & & 1 \\\\\n", + "\t 3034 & 28-Apr-10 & 6-Feb-86 & 2 & 162.16 & 59.9 & 18380 & 9533 & 24.22177 & 1.6216 & 22.77925 & NA & & 1 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| pid | visitdate | birthdate | sex1m2f | heightcm | weightkg | vdate | bdate | age | heightm | bmi | zbmius | zbmicatus | bmicat1norm2ow3ob |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 3029 | 12-Apr-10 | 1-May-86 | 1 | 172.43 | 83.0 | 18364 | 9617 | 23.94798 | 1.7243 | 27.91595 | NA | | 2 |\n", + "| 3030 | 12-Apr-10 | 22-May-87 | 1 | 178.87 | 70.3 | 18364 | 10003 | 22.89117 | 1.7887 | 21.97254 | NA | | 1 |\n", + "| 3031 | 20-Apr-10 | 1-Dec-82 | 2 | 157.60 | 52.0 | 18372 | 8370 | 27.38398 | 1.5760 | 20.93586 | NA | | 1 |\n", + "| 3032 | 22-Apr-10 | 9-Feb-86 | 1 | 188.10 | 89.6 | 18374 | 9536 | 24.19712 | 1.8810 | 25.32389 | NA | | 2 |\n", + "| 3033 | 22-Apr-10 | 9-Apr-86 | 2 | 170.03 | 65.2 | 18374 | 9595 | 24.03559 | 1.7003 | 22.55259 | NA | | 1 |\n", + "| 3034 | 28-Apr-10 | 6-Feb-86 | 2 | 162.16 | 59.9 | 18380 | 9533 | 24.22177 | 1.6216 | 22.77925 | NA | | 1 |\n", + "\n" + ], + "text/plain": [ + " pid visitdate birthdate sex1m2f heightcm weightkg vdate bdate age \n", + "1 3029 12-Apr-10 1-May-86 1 172.43 83.0 18364 9617 23.94798\n", + "2 3030 12-Apr-10 22-May-87 1 178.87 70.3 18364 10003 22.89117\n", + "3 3031 20-Apr-10 1-Dec-82 2 157.60 52.0 18372 8370 27.38398\n", + "4 3032 22-Apr-10 9-Feb-86 1 188.10 89.6 18374 9536 24.19712\n", + "5 3033 22-Apr-10 9-Apr-86 2 170.03 65.2 18374 9595 24.03559\n", + "6 3034 28-Apr-10 6-Feb-86 2 162.16 59.9 18380 9533 24.22177\n", + " heightm bmi zbmius zbmicatus bmicat1norm2ow3ob\n", + "1 1.7243 27.91595 NA 2 \n", + "2 1.7887 21.97254 NA 1 \n", + "3 1.5760 20.93586 NA 1 \n", + "4 1.8810 25.32389 NA 2 \n", + "5 1.7003 22.55259 NA 1 \n", + "6 1.6216 22.77925 NA 1 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "98" + ], + "text/latex": [ + "98" + ], + "text/markdown": [ + "98" + ], + "text/plain": [ + "[1] 98" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
      \n", + "\t
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    12. \n", + "
    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 21.6186\n", + "\\item 21.82244\n", + "\\item 20.03762\n", + "\\item 20.82412\n", + "\\item 22.66875\n", + "\\item 24.97552\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 21.6186\n", + "2. 21.82244\n", + "3. 20.03762\n", + "4. 20.82412\n", + "5. 22.66875\n", + "6. 24.97552\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 21.61860 21.82244 20.03762 20.82412 22.66875 24.97552" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# metadata\n", + "demo <- read.delim(\"../../code_Lin/cvs/data/demographic.txt\")\n", + "head(demo)\n", + "y <- demo$bmi[match(rownames(count), demo$pid)]\n", + "length(y)\n", + "head(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "'matrix'" + ], + "text/latex": [ + "'matrix'" + ], + "text/markdown": [ + "'matrix'" + ], + "text/plain": [ + "[1] \"matrix\"" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "'numeric'" + ], + "text/latex": [ + "'numeric'" + ], + "text/markdown": [ + "'numeric'" + ], + "text/plain": [ + "[1] \"numeric\"" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check datatype\n", + "class(taxa); class(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "# save processed data\n", + "save(y, taxa, file='../data_application/BMI_Lin_2014.RData')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### rough parameter ranges for this dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/BMI_Lin_2014.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.AsaccharobacterBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.AtopobiumBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.CollinsellaBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.EggerthellaBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.GordonibacterBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.OlsenellaBacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.SlackiaBacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.BacteroidesBacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.BarnesiellaBacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas...Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.OxalobacterBacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.NeisseriaBacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.DesulfovibrioBacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.CampylobacterBacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.SuccinivibrioBacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.PseudomonasBacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.StenotrophomonasBacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.CloacibacillusBacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.PyramidobacterBacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia
    3001-9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -0.8429202-9.500918 -4.573665 ... -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918 -9.500918
    3003-9.278560 -9.278560 -9.278560 -9.278560 -9.278560 -9.278560 -9.278560 -2.2258386-3.392456 -9.278560 ... -7.892265 -9.278560 -9.278560 -8.585412 -9.278560 -9.278560 -9.278560 -9.278560 -9.278560 -9.278560
    3004-9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -0.4151243-3.613655 -9.269646 ... -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646 -9.269646
    3006-9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -0.7426639-8.421453 -9.114600 ... -7.322841 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600 -9.114600
    3007-9.643356 -9.643356 -9.643356 -8.257061 -9.643356 -9.643356 -9.643356 -0.5488753-9.643356 -9.643356 ... -6.752984 -9.643356 -9.643356 -8.950209 -9.643356 -9.643356 -9.643356 -9.643356 -9.643356 -9.643356
    3008-8.387085 -8.387085 -8.387085 -7.693937 -8.387085 -8.387085 -8.387085 -0.8374753-2.225877 -4.749498 ... -6.307643 -8.387085 -8.387085 -8.387085 -8.387085 -8.387085 -8.387085 -8.387085 -8.387085 -8.387085
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n", + " & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella & Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella & Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas & ... & Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter & Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria & Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio & Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter & Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio & Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas & Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus & Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter & Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\\\\\n", + "\\hline\n", + "\t3001 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -0.8429202 & -9.500918 & -4.573665 & ... & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 & -9.500918 \\\\\n", + "\t3003 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -2.2258386 & -3.392456 & -9.278560 & ... & -7.892265 & -9.278560 & -9.278560 & -8.585412 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 & -9.278560 \\\\\n", + "\t3004 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -0.4151243 & -3.613655 & -9.269646 & ... & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 & -9.269646 \\\\\n", + "\t3006 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -0.7426639 & -8.421453 & -9.114600 & ... & -7.322841 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 & -9.114600 \\\\\n", + "\t3007 & -9.643356 & -9.643356 & -9.643356 & -8.257061 & -9.643356 & -9.643356 & -9.643356 & -0.5488753 & -9.643356 & -9.643356 & ... & -6.752984 & -9.643356 & -9.643356 & -8.950209 & -9.643356 & -9.643356 & -9.643356 & -9.643356 & -9.643356 & -9.643356 \\\\\n", + "\t3008 & -8.387085 & -8.387085 & -8.387085 & -7.693937 & -8.387085 & -8.387085 & -8.387085 & -0.8374753 & -2.225877 & -4.749498 & ... & -6.307643 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 & -8.387085 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella | Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella | Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas | ... | Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter | Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria | Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio | Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter | Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio | Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas | Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus | Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter | Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 3001 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -0.8429202 | -9.500918 | -4.573665 | ... | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 | -9.500918 |\n", + "| 3003 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -2.2258386 | -3.392456 | -9.278560 | ... | -7.892265 | -9.278560 | -9.278560 | -8.585412 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 | -9.278560 |\n", + "| 3004 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -0.4151243 | -3.613655 | -9.269646 | ... | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 | -9.269646 |\n", + "| 3006 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -0.7426639 | -8.421453 | -9.114600 | ... | -7.322841 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 | -9.114600 |\n", + "| 3007 | -9.643356 | -9.643356 | -9.643356 | -8.257061 | -9.643356 | -9.643356 | -9.643356 | -0.5488753 | -9.643356 | -9.643356 | ... | -6.752984 | -9.643356 | -9.643356 | -8.950209 | -9.643356 | -9.643356 | -9.643356 | -9.643356 | -9.643356 | -9.643356 |\n", + "| 3008 | -8.387085 | -8.387085 | -8.387085 | -7.693937 | -8.387085 | -8.387085 | -8.387085 | -0.8374753 | -2.225877 | -4.749498 | ... | -6.307643 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 | -8.387085 |\n", + "\n" + ], + "text/plain": [ + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Asaccharobacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Atopobium\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Collinsella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Eggerthella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -8.257061 \n", + "3008 -7.693937 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Gordonibacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Olsenella\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Actinobacteria.Actinobacteria.Coriobacteriales.Coriobacteriaceae.Slackia\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Bacteroidaceae.Bacteroides\n", + "3001 -0.8429202 \n", + "3003 -2.2258386 \n", + "3004 -0.4151243 \n", + "3006 -0.7426639 \n", + "3007 -0.5488753 \n", + "3008 -0.8374753 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Barnesiella\n", + "3001 -9.500918 \n", + "3003 -3.392456 \n", + "3004 -3.613655 \n", + "3006 -8.421453 \n", + "3007 -9.643356 \n", + "3008 -2.225877 \n", + " Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Porphyromonadaceae.Butyricimonas\n", + "3001 -4.573665 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -4.749498 \n", + " ...\n", + "3001 ...\n", + "3003 ...\n", + "3004 ...\n", + "3006 ...\n", + "3007 ...\n", + "3008 ...\n", + " Bacteria.Proteobacteria.Betaproteobacteria.Burkholderiales.Oxalobacteraceae.Oxalobacter\n", + "3001 -9.500918 \n", + "3003 -7.892265 \n", + "3004 -9.269646 \n", + "3006 -7.322841 \n", + "3007 -6.752984 \n", + "3008 -6.307643 \n", + " Bacteria.Proteobacteria.Betaproteobacteria.Neisseriales.Neisseriaceae.Neisseria\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Deltaproteobacteria.Desulfovibrionales.Desulfovibrionaceae.Desulfovibrio\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Epsilonproteobacteria.Campylobacterales.Campylobacteraceae.Campylobacter\n", + "3001 -9.500918 \n", + "3003 -8.585412 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -8.950209 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Aeromonadales.Succinivibrionaceae.Succinivibrio\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Pseudomonadales.Pseudomonadaceae.Pseudomonas\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Proteobacteria.Gammaproteobacteria.Xanthomonadales.Xanthomonadaceae.Stenotrophomonas\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Cloacibacillus\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Synergistetes.Synergistia.Synergistales.Synergistaceae.Pyramidobacter\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 \n", + " Bacteria.Verrucomicrobia.Verrucomicrobiae.Verrucomicrobiales.Verrucomicrobiaceae.Akkermansia\n", + "3001 -9.500918 \n", + "3003 -9.278560 \n", + "3004 -9.269646 \n", + "3006 -9.114600 \n", + "3007 -9.643356 \n", + "3008 -8.387085 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "\n", + "head(taxa)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "# lasso/elnet: use glmnet default lambda sequence\n", + "library(glmnet)\n", + "\n", + "result_lasso = cv.glmnet(taxa, y, family='gaussian', lambda=NULL, alpha=1, nfolds=10) # use default glmnet sequence" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in plot.window(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in plot.window(...):\n", + "“\"label\" is not a graphical parameter”Warning message in plot.xy(xy, type, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in plot.xy(xy, type, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in box(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in box(...):\n", + "“\"label\" is not a graphical parameter”Warning message in title(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in title(...):\n", + "“\"label\" is not a graphical parameter”" + ] + }, + { + "data": { + "image/png": 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wAAOkAm9cuoYAAggggAACCCCAAALpBBggpfNiaQQQQAABBBBAoJUF\n5qtx41u5gbQtc4GzVKNDSSjAOUgJoVgMAQQQQAABBBDIgcAGauOYHLSTJmYnsF52VRWjJgZI\nxdiO9AIBBBBAAAEEELDA7cpCKBCICMyL3OduAgEGSAmQ8r6I9rWP2iToPv75U05/n/tyeNA9\neWHQe84WQbAk732j/QgggAACCCCwksDElR7xAIEgmAZCOgEGSOm8crf09UEwQoOj69TwXUYv\nWtRd6cDUTYKR770+WDrxHUGwLHedosEIIIAAAggggAACCDRIgAFSg2BbZbW7B92HqC27BkGp\n699tKmmgVH7rK/N6L/n39Na9N2vWrLepdW+vbmG5XB7Z0dHxRt3OrZ6nx/2lUukHPT09T8XM\nYxICCCCAAAIIIIAAAqsIMEBahaRYE0pBaQ8NhuKuVtjxyrwgFwMkDXT20CDow9VbR4OjNTVt\nnPKm6nl6TlnTblAYIFXj8BgBBBBAoKgCE9Sx2xQOoy/qFk7fL39Ocrn/lRv+rSXAAKmWUM7n\nl4PyM6UgWK5udFZ1ZbnnVU1r2YfaC/Q1Nc5ZqWjP0ns0ELps0qRJ2ktGQQABBBBAoO0FrpLA\nwco1bS8BQCgwpXLn8HACt4MLxO1ZGPwZzM2VQCko/1gNjhsIe9qPctUZGosAAggggAACtQT8\n2Y7Pd7WU2mu+visPHEpCAf4DJYTK62LdQd9ftKfoKB1m11culfqdFfeD8pEjg96483by2lXa\njQACCCCAAAJBMFkIvtQ3BYFQ4CLd+UH4gNvaAnF7Fmo/iyVyJaBB0ndeDIKr//KBgy51w3e4\n4vJD1giCx3LVCRqLAAIIIIAAAkkEZiRZiGXaSmBOW/W2Dp1lD1IdEPOwCg+I7t5v3wccBkd5\n2GK0EQEEEEAAAQQQQKAZAgyQmqFOnQgggAACCCCAAAIIINCSAgyQWnKz0CgEEEAAAQQQQGBI\nAtP1rLFDeiZPKqqAfxPToSQUYICUEIrFEEAAAQQQQACBHAj0qI3b5qCdNDE7gf1UlUNJKMBF\nGhJCsRgCCCCAAAIIIJADgV61sS8H7aSJ2Qn4NUFJIcAAKQUWiyKAAAIIIIAAAi0usLPat6DF\n20jzshU4Odvq8l8bA6T8b0N6gAACCCCAAAIIhAIPhHe4RaAisBiJdAKcg5TOi6URQAABBBBA\nAAEEEECgwAIMkAq8cekaAggggAACCCCAAAIIpBNggJTOi6URQAABBBBAAIFWFpivxo1v5QbS\ntswFzlKNDiWhAOcgJYRiMQQQQAABBBBAIAcCG6iNY3LQTpqYncB62VVVjJoYIBVjO9ILBBBA\nAAEEEEDAArcrC6FAICIwL3KfuwkEGCAlQGKRfAicf/75Hy6VSjvFtHYtTdtY+VvMvD4956ye\nnp5nY+YxCQEEEEAAgbwJTMxbg2lvwwWmNbyGglXAAKlgG7TNu7OV+r9DtYEGQJto2ublcrmr\nep4e9/X29q6hWwZIMThMQgABBBBAAAEE2k2AAVK7bfEC9/foo48+M6572rPUo0HS8ZMmTdov\nbj7TEEAAAQQQQAABBBAIBbiKXSjBLQIIIIAAAgggkH+BCerCqPx3gx7UUWCc1uVQEgowQEoI\nxWIIIIAAAggggEAOBK5SGyfmoJ00MTuBKarKoSQUaMdD7NaRjU/aH6m8oDyjvKhQEEAAAQQQ\nQACBvAv4y2++AM/7Vqxv+0v1XV3x19YuA6QdtSmPVfZX1o/ZrA9o2rXKqcqTMfPbYlJv0PWW\nuVdctWnXyy/3vhQEm64eBA+3RcfpJAIIIIAAAsURmKyu+FLfFARCgYt0pxw+4La2QDsMkE4T\nw+kViod0e4uyWPHeI+9J8o+pbaYcpRykHKf8UGmr0hd0nR0EpeO3++11/aX+8utLQff9S4Pg\nkyOD3razaKsNT2cRQAABBIomMKNoHaI/wxaYM+w1tNkKij5AOljb04OjaxQfe3mHEle863FP\nRYOE4BJlgXKz0hZladB9oDr6OQ2QSh3L+ztf6XRJ++fLF74cBDetFgQPtgUEnUQAAQQQQAAB\nBBBoe4GiH6N6gLawD5/z7UCDI78IvNvxRmVf5XnlMKVtil4Ehw7Q2eWdwcgPDDCPyQgggAAC\nCCCAAAIIFE6g6AOk7bXFfEidjhZLVJ7WUnOVjRMtXZyFRmvvUdxroVwKyv4RVQoCCCCAAAII\n5ENgupo5Nh9NpZUZCRyiehxKQoG4D8UJn5qLxR5TK3dWuhK21le486Dq3oTLF2KxclD6jXai\n9cZ0ZmQ5KF8fM51JCCCAAAIIINCaAj1q1rat2TRa1SSB/VSvQ0koUPQB0oVy2Fq5XNltEJPw\nHCSfq6SLtwVXDLJs4WY9Eiw9X536a2SQpEMOy8tLQenb3UHfrYXrMB1CAAEEEECguAL+wrOv\nuN2jZ0MQ8Gsi7ovwIayqPZ5S9Is0+ApsGyhnKO9XHlEWKouU55Q1FV/FzruiN1KWKScoNylt\nU7YIgiUPB717bBiMPPbJzTab3Ll82VNrP/LI6SODpVzBrm1eBXQUAQQQQKAgAj5yZkFB+kI3\n6iNwcn1W0z5rKfoASXtCgnOUnytnKnsp1XuS9JM/waPK2cq5Slv+9s+mQfCyTtU6a9YpJ7xb\nBrdMmjSJwZEgKAgggAACCORMwBenoiAQFVgcfcD92gJFHyCFAv5jEV6pzXuN/PtHo5QnlGcV\nCgIIIIAAAggggAACCCAQtMsAKbqpfWidQ0EAAQQQQAABBBBAAAEEVhIo+kUaVups5YGvVLe5\n8kbFl/PmMtZCoCCAAAIIIIBAIQTmqxfjC9ETOlEvgbO0IoeSUKBdBkg7yuMCxYfU+ThM//Hw\npbx9wYYXlPuV2cr6CgUBBBBAAAEEEMirgC9O5QtQURAIBdbTHYeSUKAdDrE7TRanVzwe0u0t\nigdJHhj5XCT/EdlMOUo5SDlO4QIFQqAggAACCCCAQO4EbleL/QUwBYFQYF54h9tkAkUfIB0s\nBg+O/PtGU5Q7lLhS0sQ9FV/J7hJlgXKzMpzikXpXwhV4oEZBAAEEEEAAAQSGKzBxuCvg+YUT\nmFa4HjW4Q0UfIB0gP1/BzrdLB7H05cBvVPZVHlQOU4YzQNpSz/+HUriyJBjxrr/+7Bfrjl60\naOKLQfALncD1aJ46OWvWrHeXy+Wx1W0ulUrekzha87z9q8tLRx999MWa6NcJBQEEEEAAAQQQ\nQKDAAkUfIG2vbedD6gYbHEU379N6MFfxxRuGU/6pJ79eSboHyXu6zhhOhY1+7vVBMGKPoPun\nquc92117fanU3/+hUtB94JKgdNCoYOkvG11/Hdd/pAZD21avT9PW1bTVlIXV8/T4pRkzZvz8\nuOOOey5mHpMQQAABBBBAAAEECiRQ9AHSY9pW/kVpD1T6Emw3X+HOgypfsGG4ZX6KFfjiES1d\n9ghGHqcdKPoR2VJnx/Llbqsv8NHZGZQv1ahyE8E909IdqDROP4Dr88xWKdqz9BVNfJvmv2uV\nmUxAAAEEEEAgPwIT1NTblCX5aTItbbDAuMr6fVEySgIBf8gtcrlQndtauVzZbZCOhucg+Vyl\n1ZUrBlm2TWeVP6rBUdUesZLdRq4edO/dpih0GwEEEEAAgVYTuEoNmthqjaI9TRXwefgOJaFA\n0fcg/VAOvtzlGcr7lUeUhcoixYdLran43JOxykbKMuUE5SaFsrKADz+LK2VNHBU3g2kIIIAA\nAgggkLmAv/wu+hfgmaPmvEJ/oU1JIVD0AZI/vJ+j/Fw5U9lLqd6T9JKm+UIDvoLducrDCmVV\nAX0jVd5Se5G6q2Z1LA96b6yaxkMEEEAAAQQQaI7AZFXrS31TEAgFLtIdfyYZmrB8AABAAElE\nQVSmJBQo+gApZPCV7A6tPPBeI19W23s9fO7PswqlhsALQe//rKGLMpQCXwGu1K3/Zf26r28k\nSifrmEQGlTX8mI0AAggggEBGAjMyqodq8iMwJz9NbY2WtuMuWB9a5w/0/1A8OFpf8XlK7Wih\nbicr6+giDM8EvTtp6dMee8OWLyze+HV/XBb079MVLD0r2RpYCgEEEEAAAQQQQACB1hdolz1I\ng22JEzXzC4ov87x4sAXbfZ5O5nohCHqnzfr8Zz6l3wv6vn4b6LoimsyePfvX6td6MX0Lpz0V\nM++pnp6e/4iZziQEEEAAAQQQQACBHAkUfYC0vbaFfst00LJxZe6uuvXeJRfvYVq44h7/tKOA\nL+4RDoai/T+k8uDS6MTK/bhBU8xiTEIAAQQQQKChAtO1dp9T/WBDa2HleRIY7PNLnvqRWVuL\nPkD6gSR3SKjpS3yHZarunB4+4La9BLQn6MK4HmvP0naervm+oAcFAQQQQACBVhToUaOuVRgg\nteLWaU6b9qtUG/cFb3Na1OK1ph0gfVP9eVk5WfElsVu9zFIDfRU7X5DhSmWeUl3eoQlvVWYo\n7psLl/l+xYF/EUAAAQQQQCBfAr1qbl++mkxrGyzg1wQlhUCaAdJIrfcTig89OzFFHc1c1AOk\n3ys+ZGofxd+onKdEL3U4TY89QPIeI85BEgIFAQQQQAABBHIrsLNaviC3rafhjRDwjg1KCoE0\nV27z6PN5RVd1Dkop6mj2oveoAR4AzVR8TK5PwA/PO9JdCgIIIIAAAgggUBgB/7RJf2F6Q0fq\nIeAdAOwESCGZZoDkvS4HVtbtw9V8xa5xypox8d6mVipL1Rjv9XqX8iblbuUjCgUBBBBAAAEE\nEEAAAQQQeFUgzQDJT/Jv3ngP0vuUa5R/Ks/GZLKmtWLxD2Vtr/xW+ZHiQ+/WUSgIIIAAAggg\ngAACCCCAQJDmHCRz3as8ncDtvgTLNGsRt9+XO7xK8flI3gNGQSCVwDe/+c236An+smCl0tHR\nMaZUKr28fPny8IIfr84fMWLEv3QFvPtfncAdBBBAAAEE6i8wX6s8VLm1/qtmjTkV8A4OFx9N\nRUkgkHaAdESCdeZlkYvUUF/A4WvKegpXfBECpbbAOeecs3ZnZ+etGggNeCipBkOrrEg/rvsX\nTfTAioIAAggggECjBDbQisc0auWsN5cC/pxLSSGQ9hC76KrH6oHPQ/K3FO9S8vifcYHafbDi\nS337AhSUegn0F/f80OOPP/6Z6667zj9A3F2d/v7+Ocp/V0/340mTJu2oWwoCCCCAAAKNFLhd\nK1/YyApYd+4E/DM3DiWhwKpfc9d+4jZa5Hxlr6pFvQfG0z+nRC+jXbUYD4sssCQY8e6OoGN6\n6ejPrVbu6Pjxp4Lu6T8Per/y4SBYXqR+X3bZZcud6j7NmjXLr/1+HUrHHslqHB4jgAACCGQh\nMDGLSqgjVwL+SRtKCoG0A6RNte5bFJ+344s03Kk8o3j6e5TjlNcoRyrF3YWgzlFWFdDg6F2d\nQccvNceXgS+V+vtH684pHwxGbhgESyet+gymIIAAAggggAACCCDQWgJpB0jnqvmjlHcp11V1\n5fN6fI5yrPI95Q8KpY0ENDjyoWUqpcjvZJW6ykH5yJeC4Cu6osEjr8znXwQQQAABBBBAAAEE\nWlMg7TlIE9SN2Ur14Mi98yFFPrzuSWWiQmk/Af3GVCnuNaUR04it24+DHiOAAAIIIJC5gD+r\n+ctsCgKhgH+31KEkFIj7MDvQU9fSDF+I4a8DLaDpyxRf4nunQZZhVnEFBthDpOu9BZ0Li9tt\neoYAAggggEDLCFyllkxsmdbQkFYQmKJGOJSEAmkGSM9qnc5glyn2Vb20FyGYr1DaTECH0n1N\n1+dYvnK3y716PGdUsNQDZwoCCCCAAAIINFbAn+3SfL5rbGtYeysIrDg3vBUakpc2pP0P5Asz\n+AIM74vpoHfn+ip26yrXx8xnUsEFuoO+76iL+oaivDTS1WtfDJZ+KPKYuwgggAACCCDQOIHJ\nWrUv9U1BIBTwb3/+IHzAbW2BtBdp+KJW6d8++oXiizD4KnZPK5sq+yibKP+nePcupQ0FuoLe\naY8HwXl/OOXUJ0c99/xR7zvv3IvbkCGYNm3a6LXWWuuz6ntXTP+30UGHC/XDsc9Vz9P0O3WJ\n8Cuqp/MYAQQQQACBhAIzEi7HYu0jMKd9ulqfnqYdID2oat+sXKC8W9lDCYsuVBacpugwK0o7\nC+ia3i/OHrupPv+XF7erw2qrreZz9vxbYXEDpLfK5mHNe6zaR9M9iQFSNQyPEUAAAQQQQACB\njATSDpDcrEeU/RT/3tHWymsVn3N0vxI9tEoPKQi0p8Bxxx23UD3fN673+jHZezUQOufoo4+e\nHTefaQgggAACCCCAAALNE0g7QPqmmvqycrLygvInhYIAAggggAACCCDQGgLT1Qz/bqWP+qEg\nYIFDKgyXwpFMIM1FGkZqlZ9Q3qf4ct4UBBBAAAEEEEAAgdYS6FFztm2tJtGaJgv4yC+HklAg\nzR4kX675eWV1xZcLXHGyhG4pCCCAAAIIIIAAAq0h4M9rfa3RFFrRIgJ+TVBSCKQZIHlAdKDy\nE+VK5Tzln8qTSnXxuUicj1StwmMEIgIzZswY2d3d7QudrLInt7+/f6yuaPew0h95yoq7vb29\n8yrnOFXP4jECCCCAAAI7i2ABDAhEBHxqDCWFQJoBkld7luI9SD7MzhmonK4ZUweayXQEENDl\n7bq63iaHX2oQtMoAqbOzc4Qu5LBc81bZUzty5Mjz9TxfQpyCAAIIIIBAtcAD1RN43PYCbXtV\n4aFu+bQDpHtVkX/3qFa5r9YCzEeg3QV0FbsbZOAfWF6lzJ49+0VNPFi/iXT1KjOZgAACCCCA\nAAIIINAwgbQDJB8258GPd9VxoYaGbZbir3jt++/vXL7++kFHb2/c7wQVH4AeIoAAAggggAAC\nCLSkQJoBUngVu4XqyYkt2RsalQuBvmDkScHZ53250tibPxR0n3tz0HvKOxh052L70UgEEEAA\ngZYWmK/WHarc2tKtpHFZCvgUGRc+v7/iUPPfNAMkrmJXk5MFagn0BiM/pwsg/rcuhBi+9rp1\nAs7n9gi69Ljv87Wez3wEEEAAAQQQGFRgA80dM+gSzGw3gfXarcPD7e8qJ4cPssLwKnZexFex\n+w9lnLJmTLy3iYLAKgIdQflLkcFRZX5Jh9mVPv1EELxmlScwAQEEEEAAAQTSCNyuhX20DwWB\nUGCe7jiUhALht/gJF+cqdkmhWG5VgceDYI1yUBrgW61S15rByI11dXgu8LEqHVMQQAABBBBI\nKjAx6YIs1zYC09qmp3XqaNoBElexqxN8O65mwyB4sS8oL9LeonVX7X+575mgl2+8VoVhCgII\nIIAAAggggECGAmkHSEdk2DaqKqBAOSifXgqC6SsfZlf2L35/3QOoAnaZLiGAAAIIIIAAAgjk\nSCDNOUg56hZNbVWB7qDvGzrM7iSd0PZ8pY1LdPu/Pwt6J7dqm2kXAggggAACORKYoLbG/sZe\njvpAU+sr4GsGOJSEAmn3INVarU+yH6/4V5z5JedaWm06vztY+vULJ0++KBiz7lN9y/p2P2Ly\n5DvblIJuI4AAAgggUG+Bq7TCg5Vr6r1i1pdbgSmVlh+e2x5k3PBae5B+r/bcFdOm92raJ2Km\nb6lpv1U+HjOPSQi8KvDippv2L1lzdNC71lrLX53IHQQQQAABBBAYroA/29X6fDfcOnh+vgR0\ndkPgUBIK1NqDNFrrWStmXf69mp2VC2PmMQkBBOokMGvWrG20qk8qcX/YdtF0f4GxTKkuP500\nadIt1RN5jAACCCBQeAEfsu5LfVMQCAUu0h3/XA8loUCtAVLC1bAYAgg0QqC/v3/djo6ON5VU\nousvl8tdmjRRtx26Dc/nenURPU/XvKAggAACCLShwIw27DNdHlxgzuCzmVstwACpWoTHCLSQ\nwDHHHOPDXJ2VysyZM9fp7OxcrIHQZ7TM3JVm8gABBBBAAAEEEEBgyAIcozpkOp6IAAIIIIAA\nAggggAACRRNggFS0LUp/EEAAAQQQQKCdBfRbg8HYdgag76sIHKIpDiWhAAOkhFAshgACCCCA\nAAII5ECgR23cNgftpInZCeynqhxKQgHOQUoIxWIIIIAAAggggEAOBHrVxr4ctJMmZifg1wQl\nhUCSAZIv831K1To31+ORMdM3qlqOhwgggAACCCCAAALZCfhnWBZkVx015UDg5By0saWamGSA\ntI5afOYArR5o+gCLMxkBBBBAAAEEEECggQIPNHDdrDqfAovz2ezmtbrWAOl/1LR1h9A8fqBs\nCGg85d8CLwXBxi9M/Z+eJ7fcItjsrrnHfSwIvqFdmfwH/zcR9xBAAAEEEEAAAQQaIFBrgHRp\nA+pklQgMKtAbdO1WCkrXrfPEE11rP/FEoF9I1SGeI49dEizdfVQQ/HPQJzMTAQQQQAABBBBA\nAIFhCHAVu2Hg8dTGCHQEHRdrzRoLBd0aHLl0B0F57c5g5Ldeeci/CCCAAAIIIDCAwHxNHz/A\nPCa3p8BZ6rZDSSjAACkhFItlI/ByEGxeDoItg6DUuXKNpS4Nkibcs2KwtPIcHiGAAAIIIIDA\nqwIb6N6YVx9xB4EgWE8IDiWhQK1D7BKuhsUQqJtA/2Br0gBK4ycKAggggAACCAwg4PPAFw4w\nj8ntKTCvPbs99F4zQBq6Hc9sgMBqQfBQX1C+V6veauW9SGX9pkP5hl34bYcGqLNKBBBAAIEC\nCUwsUF/oSn0EptVnNe2zFgZI7bOtc9PTclD+qC7ScL0avFp/qdTdUS736vFTfUHvUbnpRIYN\nnTlz5n4dHR0fr66yVCr5//d2/f39d+n+SnveKo9n9PT03Fb9PB4jgAACCCCAAALtLMA5SO28\n9Vu0791B351Lgt6tFm+04Xn3TtgjWLrG6qc+HSzdWnuXFrRok5varM7OziVqwPPVKZfLvsbF\n1hoMxc7XwIlf1m7qlqNyBBBAAAEEEGhFgVp7kM5WozcfQsMv1XN+MoTn8RQEVgiMDoInZ37p\nixfqw//nb/rwBy845phjPACgxAhoL5D3tjkrFe1Z2l5+H9JA6PPye3qlmTxAAAEEECiqwAR1\nzEcH+MsxCgIWGFdhuB+OZAK1Bkh7azU71FjVC5r/msgyOo8++FPkMXcRQAABBBBAAAEEshG4\nStUcrFyTTXXUkgOBKZU2Hp6DtrZEE2sdYreXWulLRYbZVfefVfyfb7yio54Cfdm/Ivvr9j7l\nt8rXFAoCCCCAAAIIIIBAtgL+bFfr8122LaK2Zgv4kPvKT0s2uyn5qL/WHqTnqrrxv3p8l3KA\nsjwyz3uRfqHMVXwpwSOV8xUKAggggAACCCCAQHYCk1WVL/VNQSAUuEh3VrpYUziD23iBNN8w\njNQqdlcuU6KDo+iaH9QDD6D2iE7kPgIIIIAAAggggEAmAjNUy5OZ1EQleRGYo4aucq5yXhrf\njHamGSAtUwNfVF43SEM7NW9z5ZFBlmEWAggggAACCCCAAAIIINCSAmkGSN5r9GvlOOVtMb3x\nHqbzlI0UH25HQQABBBBAAAEEEEAAAQRyJVDrHKTqzvgcJF8+8mbFu+r+pvg8pY0VX/HOt99S\nblIoCCCAAAIIIIAAAtkKTFd15yo+7YGCgAUOqTD4Z3goCQTSDpB8ftHOyveUico7lLD4P+Ln\nFP+npCCAAAIIIIAAAghkL9CjKq9VGCBlb9+qNe5XaRgDpIRbKO0Ayat9XDG0zzd6o7Kh4qvX\nPaVQEMhUYPTjT44KujtL+lXizg8PfPGQTNtEZQgggAACCDRRoFd19zWxfqpuPQG/JigpBIYy\nQApX73OSfIidQ0EgUwGN0tcYE3SfH0w942OlFb/30L2oNyif1B30fTvThlAZAggggAACrSXg\nI30WtFaTaE2TBU5ucv25qz7NRRqqO7eaJmyn7FaZsUb1AjxGoFEC6wbdl2hgdMgrgyPXUlqr\nFJRmLQ26w+NsG1U160UAAQQQQKCVBR5Q4/pbuYG0LXOBxarRoSQUGMoAaTOtW0c0rbjktw+t\nO6tS18W6PUPx1ewoCDRMYEkQjNOA6ANKd1UlJb2gv1Q1jYcIIIAAAggggAACCCQWSHuInS/h\nfYeyrjJPWV0Ji77MD6YoByi7KPocS0GgEQIjttAPQpc1QPJrLlL8uDw2MoG7CCCAAAIIIIAA\nAgikEki7B8m/zuxD6/ZUtlE8WArLQbpzprKt8olwIrcI1FugHCz7x6qDI9dS9qjp/nrXx/oQ\nQAABBBDIkcB8tXV8jtpLUxsv4KO9wiO+Gl9bAWpIO0Dybx19U/lDTN990YbTlWcV/mPGADGp\nPgIaoT9YCso/0oCo+qos5f6gdFp9amEtCCCAAAII5FJgA7V6TC5bTqMbJbCeVuxQEgqkGSCt\nqXWuo9w3yLp9Wcl7KssNshizEBiewPyg91PloPytcunVS5k+pjNSPzYqWHrl8NbMsxFAAAEE\nEMi1wO1q/cJc94DG11vAp8U4lIQCac5Bek7r9G8g7ap8Z4D1exDlQ+xmDTCfyQjURWCrIFiq\nn3n4zHfP+fqvS+XypZ86/vjX1WXFrAQBBBBAAIF8C0zMd/NpfQMEpjVgnYVeZZoBkiF+pRyh\n/FX5vhIta+vB95W1lN8qFAQaLtA7alR/qfpaDQ2vNX8VzJo16xw5HRXT8g6dudWteatcVEXT\nfZnY906aNOnGmOcxCQEEEEAAAQQQKKRA2gHS56XwLuUbii/I8LLic4+uUPZUfMzr95XrFAoC\nCLSIwLJly74+YsSIuC8udtHgaLIGQwfHNLX/8ccf/2PMdCYhgAACCCCAAAKFFUg7QHpGEjsp\nZyifUnxInYt+k2bFD1Adp9uZnkBBAIHWEfj0pz/9oFrjrFS0Z8mP+7WX6OqVZvAAAQQQQCCv\nAhPU8NuUVY4MyGuHaPewBfT7kSvK/cNeU5usIO0AyVew816jTyvHKmOVDZUFyqMKBQEEEEAA\nAQQQQKB5Alepah8VcE3zmkDNLSYwpdKew1usXS3bnDRXsRupXnxCeZ+yTPGhdQ8oNysMjoRA\nQQABBBBAAAEEmizgz3ZpPt81ublUn4FASXU4lIQCafYg+TdnnldWV4xcVigIIIAAAggggAAC\nrSMwWU3xpb4pCIQCF+kOn9tDjQS3aQZIhj1Q+YlypXKe8k/lSaW66BLMvgwzBYHmC3T09XWM\nWK5fTKIggAACCCBQfIEZxe8iPUwpMCfl8m2/eJoBkrHOUrwHyYfZOQOV0zVj6kAzmzzdP3br\nS5H7kMEXFF944kWFUjCBRbqIyOig+xulz37ho0G5POKwoPveZUH/sasFy7jKYsG2Nd1BAAEE\nEEAAAQTqJZB2gHSvKn46QeX3JVgmy0V2VGW+qMT+yvoxFftcqmuVU5W4PWIxT2FSqwusGYz8\nhfYoj/fgqNLWrUYEHdf0Bl1v6w76/tTq7ad9CCCAAAIIIIAAAtkLhB8ck9Z8RNIFW2i509QW\n79FyeUi5RVmseO+R9yT5t5s2U/wjmgcpvlT5DxVKjgX6ghG7a3C0p06XixxaV9JJq+X+UlDy\n1Vx8uCgFAQQQQACBoglMV4fOVR4sWsfoz5AFDqk889Ihr6HNnph2gJSEp1MLraf8K8nCDV7G\nl7n04MiXuvSH4juUuOIP0fowHZytXKIsUHx1PkpOBcpB6Q3aqL6wiA+ljJSSXvPlbSMTuIsA\nAggggECRBHrUGR8VwwCpSFt1eH3Zr/J0BkgJHYcyQDpA6/aeFu996arU4wGG17WasqVyvjJV\naXZxW334nG8Hu2iEL0Bxo7Kv4j8ohykMkISQ11IKygu096h71faXfXl6X1yEggACCCCAQBEF\n/OVgXxE7Rp+GLODXBCWFQNoB0qe07u/WWP8/NP+uGstkNXt7VeRD6gYbHEXb4vOr5iobRydy\nP38CZwbLbjwl6P6LBkrbVA2UNJjvn5a/HtFiBBBAAAEEEgnsrKUWJFqShdpF4OR26Wi9+pn2\nh8S+oIqfU7yHxYMIn8czWXmj8lHFAwzv1r1CaYXymBrhPxThnq5abfIV7jyo8sUoKDkWmKpR\n0NKg9z/UhRuUFdf+18joyf4g+EhXsOx3mkZBAAEEEECgiAIPqFN6u6Mg8KrAYt1zKAkF0gyQ\nfG7ROMXn8/gHpx5VblN2V/6u/EjZW+lRdlVaoVyoRmytXK7sNkiD9Nl5xTlI7psvY94qA7xB\nmsysWgKjg+CJLg2SLv/SF078v6mnPHBGsHTDkUHvZbWex3wEEEAAAQQQQACB9hVIc4jda8Tk\nPTE+Vycs3tPy/vCBbu9UPFj6gHK70uzyQzVgA+UMxe18RFmoLFK8J2xNxVexG6tspCxTTlBu\nUigFEXj6da97sVQq9U3lG7WCbFG6gQACCCCAAAIINE4gzR6kZ9WMpxTvkQmLB0ibKa8NJ+j2\nIUXnfbRE8aFV5yjbKT9WvKfIe5Leo3ykcutD6vxDsWcrr1d8aUwKAggggAACCCCQR4H5avT4\nPDacNjdM4Cyt2aEkFEgzQPIqffGFA5TwcLW7PVHF01xGK75ctvfOtFLx8biHKj5vai3Fg7o3\nKGsrayhbKScqDysUBBBAAAEEEEAgrwI+csZHx1AQCAX88zsOJaFA2gHSSVqv9xbdorxd+b3i\nwYf3ulyh3K/4Ut9zlFYtnWqY4777sEEPkCgIIIAAAggggEARBHyKg08noCAQCszTHYeSUCDN\nOUhe5V3KuxVfze5JpV/xj7Fepfi8I5dLlItX3Gudf3ZUU45V9lfWj2mWB3m++t6pivtFQQAB\nBBBAAAEE8igwMY+Nps0NFeDnTVLyph0gefXeOxTdQ3SHHm+q7KA8o3iw0UrlNDXm9EqDHtKt\n934tVl5QfLidd0NvphylHKQcp/jiDhQEEEAAAQQQQAABBBBoM4GhDJDiiJZrogdKrVa8d8uD\no2uUKcpAbQwv8+0LNXgP2ALlZoWCAAIIIIAAAggggAACbSSQdoA0WzY+B6lW8RXjnGaXA9QA\n79Hy7dJBGuOr3d2o7Ks8qBymDGeA5D1TX1K6lSRl2yQLsQwCCCCAAAIIIFBDYILm+3cql9RY\njtntIzCu0lVfK4CSQCDtAGkfrXOLGutdqPm/q7FMVrO3V0U+pG6wwVG0LU/rwVzFV7sbTvHA\naBMl6QBpneFUxnMRQAABBBBAAIGKgM8L9xE0PnqGgoAFfBSVy+Gv3PBvLYG0AyRf7MBXf4sW\nP/Zg4M3KOYr3HPm2FcpjasTOSpfSl6BBHqh4UOU9ZcMpvtDDR1Ks4Egt+60Uy7NoHQWWBCPf\n99T/nrP/sq7uDXuDrqPmBn3f2yXZ66WOrWBVCCCAAAII1EXAn8uqP6vVZcWsJLcCPpWEkkIg\n7QDp2QHWvUjT/6Lco9yp+PLfVyrNLheqARcrlytnKt7lHFf8wtlD8Y9ora5coVDaQKAv6NI2\nLx//2gcWuLd6HZTO2yEY+f/uCZa+S8c99rYBwatdPP/88zcvl8tjX51QudPf3989YsSIMbp9\nvHqelu879thjvZfWh6lSEEAAAQSaLzBZTbi9+c2gBS0kcJHawvt0ig2SdoBUa9V3aYEHFR+K\n1woDpB+qHf7BtDOU9yuPKAsVD+ieU9ZUxij+ULiRskw5QblJoRRcQHuLdtKA6POKB8iVUurS\n35DxWwVdR2gn0sxwajvcdnR0nKt+7l/d185O/2yYfjyschudrwHSspkzZ775mGOOuS86nfsI\nIIAAAk0TmNG0mqm4VQXmtGrDWrVd9R4gjVRH11U8KGmF4tGyD/f7uXKmspeymxItL+nBo8rZ\nij8gPqxQ2kCgFJT2UTeXKqNW7m6pSyOm92haWw2Qenp6PrCywyuPtGepp1QqHT9p0qSt4+Yz\nDQEEEEAAAQQQKJJA2gGSP0hGvm1/lcLr8Q+wnqG8RvmT0krFV7I7tNIg7zVaS3FfnlCeVSht\nKFAOSr2loBzzei73i8MDJwoCCCCAAAIIIIBAmwmkHSD9TT5b1DDyYKSVLzjwnNrnhMV7vXyI\nnS996N9zyn2ZNWvWe3Tok/fkrVQ07fWeoD0CH19phh5oD8Ei7SG4unp6kR/3B0t/0Rl0fy2m\njx4hXRYznUkIIIAAAgi0usB0NdBHxDzY6g2lfZkJHFKp6dLMasx5RWkHSDeqv3+P6bO/cfeg\nY65ygdJqe2U8qPsP5V/Kb5UXlI2Ubyie7r1ePtTu68pUJckV77RYy5YzNOBZr7p1mja6Ms2H\nG65UNO9JTWirAZJ2If6zNygfo11I55dLHf3ljlJHx/LlPovxwpFB749XAuIBAggggAAC+RDo\nUTOvVRgg5WN7ZdHK/SqVMEBKqJ12gPTJhOttpcWOV2P8bUpYFujOWxUPhg5SnlF+pbxFOUXZ\nUglH2rqbv6I9QTvlr9XNaXF30PctXeb7d/PfuvPM3lGrbb7N7274ZHewzFdhpCCAAAIIIJBH\nAV+BNe9f9ObRvZXb7NcEJYVA2gFSilW3xKLvVit88QVffvxbivs7RfmD8gbli4r3Ir2s+Jwk\nL+PDz76r/FqhtIHAqGDpfbM+9fGb1dXyDr+7NnZwpEHUVvP+74qtzeH7es4/2oCGLiKAAAII\n5E9gZzV5Qf6aTYsbKHByA9ddyFUXfYB0oLbai8pulVtvRJ8j9TNloeLBU3je0RLd925p74Z0\nGCAJgeIfQxp5vC7mcNY2193gqyLq1/fK92raid3BUl8hkYIAAggggEArCfhzDgWBqMDi6APu\n1xZIO0CarVW+tvZqV1niIk25fJWpjZ/ggdE1igdJYfmN7ngwdJUSDo7Ced6TdK+yVTiB2/YW\n0G8l7arBkQbSJZ2l5FPtXHSBcE3TvD/oED1+jO8VFP5FAAEEEEAAAQQKIZB2gLS9ev1mxRc1\ncPEAw+fwjFF0rvuA5bYB5zR2xtNavQdJHUr46dYXYzhViTs+d21N31XxgI6CgC7YUPqwXth+\nrXRXcfRp3sGaxgCpCoaHCCCAAAIIIIBAngU8cEhTfH6O98ZcqfgYV5+346ul+daHpc1TPBh6\nrbJuJM06FMmHyW2q+CINGyph8aF1M8IHldsu3f63MlKZU5nGTZsLaF/R6iKI+3/SoXlrtDkP\n3UcAAQQQaD2B+WrS+NZrFi1qosBZqtuhJBSI++A32FO/o5l3Kj635w5lmeLiq2Nco+yrbKd8\nUPHxjmGW6H4zytdVqdv5WWWBso4SVw7SRJ+TdLRyvfJjhYKA9iCVbxiIYbB5Az2H6QgggAAC\nCDRYYAOt30f2UBAIBbwzY5WffwlncruqQJoBkves+BuJi5XwcLXqNXqQcZcyoXpGkx57YLaH\n4t/9mav4kLu44j0BPoTKe5Xeo6w4GV+3lDYX+J+g1+fO6fckypFDMlfcv7Yyr82F6D4CCCCA\nQIsJ+NBvfx6jIBAK+Agvh5JQIM0AyXuLXlA2HmTdPkxtnLJokGWynvWyKjxV8W8fDVQu0wyP\nrL2nqVl7uwZqG9ObKDBVXwb8Ieh9v/YWfXbRJps86vi+p3leE5tG1QgggAACCMQJTNREfylM\nQSAUmKY7DiWhwIiEy3kxX5Dht8opyg3KH5Vo8bka5yk+/+ia6Iwc3PcgioJArMA7VhxK2nf+\n7C99YTcv0NPTc37sgkxEAAEEEEAAAQQQyL1AmgGSO+uLGPiQtduUG5V5yvPKJso7FR/36vOU\nrlIoCLSTQGlp0H3gggu+/8bOpb1r9AUjru4Klt3STgD0FQEEEEAAAQQQKIJA2gGSd9n6Mtjf\nVfZU9lLC8i/d6VEuCCdwi0A7CEzVVe6mBN0/U1/fu8Wf7/Ll7jfSpJv6gu5TuoLer7aDAX1E\nAAEEEGgZAZ8H7i+yOWWgZTZJ0xvi019c7n/lhn9rCaQdIHl9jyn7KT5/6Q3KaxWDP6JwcQMh\ntHqZPXt2V7lcnqx2+rDI6jKuVCqtNmvWLJ9PtlLRc+4/+uijv73SRB7omNOuT4pBF/codZbK\n4X8Bj5PKZ2qv0i9GBr33wIQAAggggEBGAj6Kx7/Tl7fTHTLiactqplR6fXhb9n4InR7KACms\nxieo36s8rPjS3k8qSxVKiws899xz3aNHj95BzVxlgKTB0cua7sGR569UNM9XMqRUCej3kD6g\nSZ1Vk/2wtyMo+csEBkgxOExCAAEEEGiIgL/AdigIhAL+1paSQiDJAMnLHFDJubr15SNd/J/v\n+8qHFX9wfkHx7wdNUpYrlBYVOOmkk15U0/zbTxQEEEAAAQQQKJaAjxAJP6sVq2f0ZqgCF+mJ\n4SEuQ11HWz0vyTcM0yXiy2B/TPHFGMJypu58XPGPwX5PeVA5QjlboSDQNgK67PfP1dm4LwW6\n+4Pyr9oGgo4igAACCLSCgH/T0Uf1UBAIBebozvXhA25rC9QaIH1Uq/iM4kPpDlN+obi8STlZ\neU7ZTTlc2V65Qfms4mkUBNpC4Iqg70J19Gp9ObO8XCr1KxosrTgZaQrnH7XFS4BOIoAAAggg\ngECBBGoNkA5RX33onC/t7d1zyxSXD71yE/iQO5+D5OJzksKTwN62Ygr/INAGAjrGdLmuVneA\n/gN8eP4uOz3y0Ju3uV17lXbnCnZtsPHpIgIIIIAAAggUTqDWAMl7hW5SFlX1/J2Vx75SSrT8\ntfJgl+hE7iPQBgJl7S366fX/edjfrz32qGu7g75b26DPdBEBBBBAoPUEfGrE2NZrFi1qooB3\neDiUhAKDDZB8JTP/B6s+jnU1TRuv+PC6PyvR4vMwvCcpycUfos/jPgJtIzDy5ZdLHX19g/3f\naxsLOooAAgggUHcB/ybltnVfKyvMs8D/Z+884KOqsj9+31QSIPQmAiIWFAXsigqorGtfG7LW\nFSxJAFmxoeLfDYqdFUWBRFfFRVEsa111VxArqGBlFSw06QihJ0zJvP/vTOaFN29ekpmQTKb8\nzudz8t677d37nUnyzjv3nisRdUUpcRKoyZAJoI3foO0tbfXHdRPof6DWhekSGloe/BZCKSRA\nAiYC5cp1iks5pqjRtx6gNG3SUOU5brvyj2xT+bLBVJKnJEACJEACJFBnAn7UlGc4CgkYBOQ7\nQUmAQE0GkjTzHXQQtC10I1REotmJ/LvyEPXzz5ErY6pdVCYvSCBbCfiV+yjsl/Qexl/pOdJ1\nFzYlGJKnvPDS+gZkKxeOmwRIgARIoN4JHIEWl9d7q2wwnQlIYDVKAgRqm+ZTjLZkSt230FFQ\nuZbIdmuhM6GGiKF1FVQi3knQho+hFBIggQgBGEcSwAQ2kWb6ndM8iHZ3YkC5+hEUCZAACZAA\nCdQTgaVoR5Y7UEjAIFCKE1FKnARq8yC9i3buhN4NlYh1IjugZ0FlDZLIwVAxiDBTSJVBz4Fu\nhlLSm4A2efLk4zRNk7VoVhGjef8pU6bEeD5QfkVhYeFyawVey++J5rTh4NeVdgDS59rkMYkE\nSIAESIAESIAESCDJBGozkKQ746EzoGdDxSiSaULiQTJEQn+LPhVR8TZR0pxASUnJgbqufwSD\nx/Y7gvQbMURRq7yJhD9ZE3mtfoW3aF8bI8mjKX0Z+ZAACZAACZAACZAACaQGAduHX5uuibvW\n8CBZs/Hgp/aC0p1rJZPG1/n5+YvRfTvvURqPqjG7HnoAy4/+GN0DXRZN/uBWQU5JjQbDKxIg\nARIggboTkJduF0O53UTdGWZazQmRAd2UaQNrqPGY1kPU6RbyAO2F6nWqzUokkCUEYAR9hDcI\nQ7AIyQibr+N6zi7lPw0Iqn5/dinXH/zK8/3Qgr/mDB1xw4yA8tzxklJ2U/OyhByHSQIkQAIk\nkCABiT7cOsE6LJ7ZBCTYmiglTgJ7aiA9hPvIuiOJmEIhARKogQA2kn1lvPJ1fHnc2KWv3Hn7\njbg+rblSG4wqCAN+slM53oMR1UvTdc1RUdECeXeeq7yTjDI8kgAJkAAJkEAtBOYjf1UtZZid\nXQQWYbiilDgJxDvFLs7mWIwESKAmAkWYilrcoX0A67vkxUKUYI+keysToiLdubFGqWCnUvc0\nVWpNVIVGuCguLn4X688Osbl1LtLEo7zVJk/GejSmbdrl2RRnEgmQAAmQwB4QGLgHdVk1Mwlg\nmj8lEQI0kBKhxbIk0LAEekWHAa+6GSwm10GIhdLoBhJ6dB+Mu65VPYucwGi6AOn74/J+ax6u\nywoKCmgc2YBhEgmQAAmQAAmQQOoRoIGUep8Je5S9BMQAOiB2+BoMJMfq2PTkp8DQsQ0oAc/S\ngehNc+Q/l/xe8Y4kQAIkQAIkQAIkUH8E9nQNUv31hC2RQJYT0JU+AdPpJGS+ScKR7j7EeiWJ\nKkghARIgARIggdoIDECBJrUVYn5WEeiB0YpS4iSwpwaSvC2+AiohJSkkQAJ7QMCjAk8inF0R\ngtpJ+O+I6B+VK9+FxhWPJEACJEACJFALgbeRP7CWMszOLgJjMVxRSpwE9tRAWoD7TIduivN+\nLEYCJFADAbfy37NF+du+eesNu94fftVf3Cpwah5/v2ogxiwSIAESIAELAXm229PnO0uTvExz\nAgiQq0QpcRKoyxqkk9H25VCJs58DtQM+DenPQikkQAIJEmin1PaS7vuEEPRgY4JVWZwESIAE\nSIAEbgMCCfVNIQGDgDgzqvZcNBJ5rJ5AogbSRWhqZvXNVeV8VHXGk4wlMHXq1IGIXvYe1O5N\nlXy33igpKbH7hZxaUVFRlLFgODASIAESIAESaDwC3Duv8din6p0/SNWOpWq/EjWQ7sZAsCWL\nuhY6B1q1ySXOzRIyX/A8MwkEAoF5Ho/nTHg6YgykUCjUDYbTSow85rvg9/sXuVyJfvUyk2Fd\nRrVDqQ6OG2+7fuXBPVXbFStHDcUeSXDlLqtLW6xDAiRAAiRAAiRAAiQQTSCRp1TsU6lkn5MS\n6IzoZniVjQRGjRrlw7hn12XsU6ZMaVWXetlex6c8B8EanavKd+Xu+9W34i+/QlOeSwIqdKpb\nBT/Ndj4cPwmQAAmQAAmQAAnsKYGYN/81NFiOvG1Q8SBRSIAEGoGAprQncNtmUI/cHgsA3Th4\nNeWU+cUUEiABEiABEngYCLoRAwmYCAzBuSglTgKJGEgyVUrWFl0MTaRenF1hMRIggZoI/BI2\nhPR+MIssnl/NAU/SPniD0b2m+swjARIgARLICgL5GGWvrBgpBxkvgdNRUJQSJ4FEDZ1r0G4Z\n9BVof2hXaBsbxZIICgmQQH0S2Fq5ngu2kL0gw7LJrH05ppIACZAACWQ0AdlLL5DRI+TgEiUg\n3wlRSpwELG+ia631JkpIeO/zIlpdhXHIKKouk+kkQAKJEzgS//DwH+8/iNT5B3iRZGpdRHQx\njBbnKiVBMSgkQAIkQALZTeAIDH95diPg6C0EbrVc87IWAokaSN+gvTW1tCnZi+IowyIkQAIJ\nEggof75LeT/D2qNOFU6H21ERCuB8G+a/ytRXCgmQAAmQAAksJQISsBAotVzzshYCiRpIhbW0\nx2wSIIEGJAAv0ao1yndQ07w2Vy055uhJHRf//FDOyiUPISTglga8LZsmARIgARIgARIggawh\nkKiBFA8YJwq1ha6PpzDLkAAJJEZgL6wDnHL/3c85nc5J2HB35vDhw2kcJYaQpUmABEiABEiA\nBEigWgJ1MZDORWsXQFtAjXUQmOWjpC0JzrAfdCq0CEohARIgARIgARIgARJIHoFluJVMu/48\nebfknVKcwIRI/25K8X6mTPcSNZCGoudP19J7RCNW39ZShtlZQmDq1KkS1ANBBaIF3o9cXdeV\npmlnoMyh0blKwTPyqTWN1yRAAiRAAiRAArUSkP+7rWstxQLZREBmdlESIJCogXQL2pbNYkdC\nZ0N/gt4D/RdUoqZMhs6Cvg6lkIAYQCdA74cxJF7GKhHjCOJ3OByjcI4YA9Hidrvvg5H0SXQq\nr+Il4FOey/S/3jIupGEL2UDww2HKe1sT5Xsn3vosRwIkQAIkkLYE5qPnq9K29+x4QxBg8LQE\nqSZiIMnaoh7Q16DTI/f5Asd+0PuhP0MXQxdAn4HKLyglywkUFBSI8SyasEyZMqV3wpVYARsd\nuK+DNToRQcGd8ksLgYdOfwtG02Cv8tfps6hshj9JgARIgATSgMDANOgju5hcAg8k93bpf7dE\nNopthuHKmqOPTcMWg6iP6VrCgIuh9CdTGk9JgASSROAHpTya0u7DPkkR2yh8Y9hLmsOptIeT\n1A3ehgRIgARIgARIgATSlkAiBtJWjHIjtKdptGIgdYV2MKX9hvODTdc8JQESSBKBHsrbHcZQ\nU7vbYVJjN2xihkjhFBIgARIgARIgARIggeoIJGIgSRsSfEGi2B0jF5CFlYdwmpw2h54IlXVK\nFBIggSQT2KV8GzCdLmZNV2U39J0IEV6e5C7xdiRAAiRAAsklMAC3a5LcW/JuKU5AlsiIUuIk\nkKiBdDPaFW/RPOjx0E+gS6GPQiUwwxKohPr+AEohARJIMoGWSm3GLV+FkeSPvrXuh9U0FWnh\n6BjRebwiARIgARLIIAJvYywDM2g8HMqeExiLJkQpcRJI1EASD9Jp0P9Cf4fKm+rB0FKorDtq\nB30e+hyUQgIk0AgEtin/1bitRJM0rCGJGfjCQuW/vRG6w1uSAAmQAAkkl4A82yX6fJfcHvJu\nySYgkYRFKXESSCSKndGkeIfMHqKvcd0F2ge6BboUSiEBEmgkAm3CU1z9Z352zvlnbtp3n7f3\n++Dj3gd/v+B/jdQd3pYESIAESCC5BG7D7RhJOLnMU/1u09FBziBJ4FOqi4FkNC9T6faDyqJv\nCfcteyLthFJIgARSgMB3pw1aiQ151aoD9luthkv0fQoJkAAJkEAWEJiUBWPkEBMjYHZsJFYz\nS0vXxQXbFaxegoox9D10AlTkOeh4qFcuKCRAAiRAAiRAAiRAAiRAAiSQbgQS9SB1wgBlSh1m\n8ahFUHPIYJnbKAvAzoUeCd0FpZAACZAACZAACZAACZAACZBA2hBI1IMkbluZWiehvA+GirFk\nyAU4uQfaC/oXI5FHEiABEiABEiABEiCBpBF4GHfqlrS78UbpQGAIOilKiZNAogbSKWh3MvRT\nm/YrkDYOKhvKHmuTzyQSIAESIAESIAESIIGGJZCP5uVlNYUEDAKn40SUEieBRKbY5aHNVlAJ\nxlCdBJDxA1TKUUiABFKXgOZX7pEVo266Tde0nKHK+4mmKm5xq6DscUYhARIgARJIXwKyD548\nj1FIwCBg2RvRSOaxOgKJGEjb0Mg66FHQp6ppUIwoeWtRXE0+k0kghkBJSUlbXdcPs2ZomtZd\n0nAcWFxcvMOcHwqF9O3bt0v0REodCASU5wFUG+3yByJ/A/TjsG3GxwHl6k8jqQ5AWYUESIAE\nUofAEejK8tTpDnuSAgRuTYE+pFUXEjGQZGDvQq+Gyp4q06BmaYmLadAW0PehFBKIiwCMnWEO\nh2N8NYV15M205iF8td6yZcuhMKxk7y1KAgRgaXZA8Rtgejp3V5NzvUJXzgeVCsoaQwoJkAAJ\nkEB6EuB+lOn5uTVkr0sbsvFMbDtRAwkPVWoQ9DGoBGQoh8rao9eh8lDVGjoNOhtKIYG4CBQW\nFuKhXIkmLPAsnZFwpSyv4FSuQ4DAZv2h5tSU3jfL8XD4JEACJEACJEACWU7A5iGpRiLytv5w\naAm0CVTeRO8F/RNUZBRUPEwUEiCBFCXgUA5MldUkLH+MaErbEJPIBBIgARIgARIgARLIIgKJ\nGkiCZiO0AJoL7QE9HtoZKnsjiWdJPEoUEiCBFCXgVX4EUtGxfku3LOLVgyGlHk3RbrNbJEAC\nJEAC8RFYhmKMJhwfq2wpNQEDFaXESaAuBpLRtBhCMs91LnSNkcgjCZBA6hPwKf+56OXXkZ7q\nMJZgG6mJHuWTlxwUEiABEiCB9CXQHl2XJQ8UEjAItMWJKCVOArWtQeqKdrxxtmUutgkXXBBm\nJsJzEkghAs3CESn9x87586UFOzt0mDjw0Yf3Qdr6FOoiu0ICJEACJFA3AvNRbVXdqrJWhhJY\nlKHjarBh1WYgvYk796nD3YtQRzaNpZAACaQwgZ8GnvgbwqiHaByl8IfErpEACZBAYgQGJlac\npbOAgGztQUmAQG0GktFUGU4+gkrUuniElmo8lFiGBEiABEiABEiABEiABEggpQjUZiA9i94W\nQveHSjAGCef9AnQWNAilkAAJkEAUAWz8+xfsTyVBW6wiwVxEVlceon5uLCgo+GdUCi9IgARI\ngARIgARIoBEI1GYgTUSfRI+A/hl6EfQK6EboK1Axlj6BYpE3hQRIgATCBC7BtL2YxaAwmrpJ\nLvJW2HCSvyk0kGzAMIkESIAEEiQwAOURqVTtSrAei2cuAYk6LbKk8sCftRGozUAy6n+FE9Fb\noP2gYiwNhkq471XQmVAxlqQMhQRIIIsJ5Ofn/9Fu+PAsTZN05F8pRwoJkAAJkECDEHgbrcoz\n2nsN0jobTUcCYyOdHpaOnW+MPica5ls8RZ9Br4PKdJlBUPkFHApdAP0ZOg4aflOMI4UESIAE\nSIAESIAESCB5BOTZLtHnu+T1jndqDAIabipKiZPAnvwCyT5Is6HXQDtCr4a2g94JFYOJQgIk\nQAIkQAIkQAIkkFwCt+F2EuqbQgIGgek4+adxwWPtBFy1F6mxhOyTJG5c0aOhYp2uhH4HpZAA\nCZAACZAACZAACSSXwKTk3o53SwMCH6RBH1Oqi3UxkMQouhAqARuOiYxmLY6PQWUt0jyoTMWj\nkAAJpDmBXcr1hy3jHxgWzM3tHFCe27Yo/+NwE29P82Gx+yRAAiRAAiRAAiRQLYF4DaQuaMFs\nFImnaAN0KlSMIolkF4JSSKBBCBQXF9+J6GeX2jSei+hoTRAA4CebPPlOXhkK8atpw6bWJBhE\nEpTl/jar18oLD5mOW9RCea/aonxHtVRqc60NsAAJkAAJkAAJkAAJpCGB2gykYRjT1dBjoWIU\nlUKfgopRNAcq65AoJNDgBCoqKt50uVzrrDeC8eNxOByyT9cP1jxch8rKyn5q0qRJX5s8JtVA\noEwpeSlyrwTlxlFUDh5N6V2awpOklF+MJwoJkAAJkEDqEXgYXXoUuiL1usYeNRKBIZH7yvM7\nJQ4CtRlIo9BGH6jsUfIqVDaIDUCbQs+CVieLkWH3Rr+68slMb4WbtYB6oTugW6A7oZQUJjBi\nxIhv0T3RhGXqVHF0UhIh4FSeASgvrjdndD3Ngxm0ZyKNBlI0GF6RAAmQQKoQyEdH5HmNBlKq\nfCKN34/TI12ggRTnZ1GbgWQ00xYn8gsnGo8UodC4eAomqcxhuM8I6DlQLKGIkaVIkT8md0B/\nj8llAglkH4FyDDniOYoZvORRSIAESIAEUpOAH92Sl9kUEjAIyHeCkgCB2gykJ9GWhPBOVD5O\ntEIDlr8TbRvG2m84nweVqYLiPRJPUmtoV+i10Aug4jWbAaWQQNYSKFP+2c2UZxe8RfAWh6fZ\nRVjoAV1pz2ctGA6cBEiABFKfwBHo4vLU7yZ7mEQCtybxXhlxq9oMpMlpPsrB6L8YR+9Bx0K/\nhtqJvCk/Efp3qDz8LYfOhVJIICsJYB7qll1Ku8ip9H/pmubSsdDLUREUFv9+XfkYQjYrvxUc\nNAmQQJoQkFkxFBIwExDHACUBAhKZKpPlXAxO/lDIsTrjSMYvUbrE63UqVEIYXwGlkEBWE2ii\nfO/6lX/fX486/OWFfzh5U1CFBrmV/7yLGJwlq78XHDwJkAAJkAAJZDqBTDeQeuMDlCl1vjg/\nSAld/D20c5zlWYwEMpoA5tet/Wjo5R8tOPes0hwVlMiVFBIgARIgARIgARLIaAKZbiCtxacn\nc3HdcX6KEuFOjKrFcZZnMRIgARIgARIgARJIJQLL0JljU6lD7EujE5iAHohS4iSQ6QbSs+DQ\nEyohyo+pgYmxBknWKuVCX6+hLLNIgARIgARIgARIIFUJtEfHJAAVhQQMAhKNWpQSJ4HagjTE\n2UzKFpNodPKHYjz0bOhq6CroJug2aB5U/oh0g3aCyir0G6GfQSkkQAIkQAIkQAIkkG4E5qPD\n8qxDIQGDwCLjhMf4CGS6gSTBFyZC34DeA+0PtXqSypC2BioR7B6FroRSSIAESIAESIAESCAd\nCQxMx06zzw1K4IEGbT0DG890A8n4yCSS3cWRC/Eayf5HTaAboFuhlAwgUFxcPBzDsBrA2MVH\n2x/pHZEvUy6tEvD7/bdZE3lNAiRAAiRAAiRAAiSQnQSyxUAyf7pOXIjK+qtmUJlWtxNKSXMC\nuq5XwBiqsA4D6RKsQ9aZxeRJmtfrRRFxNlJIgARIgARIgARIgASynUC2GEiH4YMeAT0H2s7m\nQxcP0yzoHdDfbfKZlAYECgsLS9BN0YQF3qWE67ACCZAACZAACaQggQHo0xfQXSnYN3apcQj0\niNx2SePcPv3umulR7OQTuRP6NfQqaDlU9kX6N3QmVKLWfQmVyHXXQmUR2yVQCgmQAAmQAAmQ\nAAmkI4G30emB6dhx9rnBCIxFy6KUOAlkugdpMDiMg4ohJF8MMZTsxAjzLYEanocuh86F7ol4\nUVmm8sUj7ngKsQwJkAAJkAAJkAAJ1EJAXn5nwwvwWjAw20RAnnMpCRDIdAPpXLCQ6XNy9NXA\nRRagfAw9FboCegV0Twyk/VD/Jyj/QAEChQRIgARIgARIIGkEbsOdJNQ3hQQMAtNxwsXWBo04\njpluIPUGA5lSV5NxZMa0GRffQzubE+tw/ivqHA71xFlXDLjb4yzLYiSQMgQWKOXuozw3l998\nR4FyaE2HKe/jPuUb15xr+VLmM2JHSIAEso7ApKwbMQdcG4EPaivA/GgCmW4grcVwj4DKFLZA\n9NBtr1ohVYyqEtvcxBK/S6B43wTKsigJpAwBGEdvoDODcrZvj0wT1a/xKu/Zm5WvD36ZtqRM\nR9kREiABEiABEiABEoiTQKZPAXsWHHpCX4XG7I9jYmSsQZK1ShKw4XVTHk9JgARsCOxSrkFI\nxrRUzbSGTvNoSu/YTHmus6nCJBIgARIgARIgARJIeQKZ7kGagU+gPXQ89Gzoaugq6CboNmge\ntDW0G7QTVPZEuhH6GZRCAiRQAwGncshLB/HMWoKRaJhaqp9QQ1VmkQAJkAAJNByBh9H0o1BZ\nU00hASEwJIJBIjhT4iCQ6QaSLEibCJVpQPdA+0OtnqQypK2B/h0qf1BWQikkQAK1ENCVvklT\nmo0XWq/AL96GWqozmwRIgARIoGEI5KPZWVAaSA3DNx1bPT3SaRpIcX56mW4gGRgkkt3FkQvx\nGrWANoHKQ9xWKIUESCBBAj4V+FcT5cGLBR1T7DSZpmqIo0KFnjYueCQBEiABEkgqAT/uFs+6\n66R2ijdrVALynaAkQCBbDCQDibztlql1onYiU4XEgCqHcgdqO0JMI4EIgeZ4wVCuQue4lONV\neIzyxEbS9FBQV9pNOSo4h6BIgARIgAQahYAEp1reKHfmTVOVwK2p2rFU7ZfN9JhU7Wqd+9UB\nNcWlWAoVw0ge3I6H2smhSJRyY+wymZYxBMTbYVVjcNZ0s2fEKMNjhAAModmblL/z/AvPe3Hu\npRct9Cl/F4/yTSIgEiABEiCBRiMgs2ZCjXZ33jgVCcizrSglTgKZ7kFqBg6yWVoXqBhHq6AD\noB9D74eOhVKyiEBxcfHXmqYdVt2QS0pKYv6p6LpeDtmrujrZnt5RqZ3FgwYuAYf2A5/75/ps\n58HxkwAJkAAJkAAJpDeBTDeQbsbHI8bROKgEYdgOFdezrI+QjVlzoDdAKVlCIBQKyVo0PNPH\nSC4Mp1wYQxutOQ6HY+fo0aO3wHiyZvGaBEiABEiABEiABEggwwhkuoHUD5+XBGIYD5UQ3iJf\nQftD34KOhspmsg9BKVlAYPjw4T9hmKIUEiABEiABEshEAsswKHkZ+HkmDo5jqhOBCZFaN9Wp\ndhZWyvQ1SJ3xmX4CNYwj4yOWyHVnQb+HwjFP7QAAQABJREFUPgC9CEohARIgARIgARIggXQn\nIPs/tk73QbD/9UqgLVoTpcRJINM9SCvAYRBUQnpbo9LJmqQzoPOgz0JlE9mdUAoJkAAJkAAJ\nkAAJpCsBWXu9Kl07z343CIFFDdJqBjea6R6k2fjsZM+je6F2i+zFKPoDVNYmvQM9E0ohARIg\nARIgARIggXQlMBAdlxkyFBIwCMhsKVFKnAQy3YP0ODgMhcpao79CL4W+CDWLrEc5FSrhv8dH\nMrTIkQcSIIF6JlBUVOTo0KHDFRIUw6bpfZAm3l27cKTLCwoK5EUGhQRIgARIgARIgAQajECm\nG0gyre4Y6D3Qc6B+qJ18i8QjoWJQnWZXgGkkQAL1Q6B169bNYByNQGsxBhLSuyK9HNEEf7fe\nDXk/II0GkhUMr0mABEiABEiABOqVQKYbSAJrB1S8R6I1TSmUfVxOhx4Fta5XQhIlWwhMnjy5\nCx7Q86zjRVpLSXv88cd7WfPw8L5txIgRK63pvI4lMGrUKPEQye9ZjGCfqllInAdP0f/FZDKB\nBEiABEggHgKy3+MXUD7LxEMrO8r0iAxTnnUpcRDIBgPJjCFmE1BzZuR8vk0ak7KIgMvlkrnb\nYWPIbthut/tPNulbkNbKJp1JJEACJEACJJBMAm/jZoOh7yXzprxXShMYG+ndsJTuZQp1LtsM\npBRCz66kKoFt27btnZeXl2PtH9LDHkjkxRjayCu3luc1CZAACZAACTQCAflfVdOMmUboEm/Z\nyAS4tj7BD4AGUoLAWDzzCdx88807MUpRCgmQAAmQAAmkG4Hb0GHOhkm3T61h+zsdzesNe4vM\nap0GUmZ9nhwNCZAACZAACZBAdhOYlN3D5+htCHxgk8akGgjQBVsDHGaRAAmQAAmQAAmQAAmQ\nAAlkFwEaSNn1eXO0JEACJEACJEACJEACJEACNRCggVQDHGaRAAmQAAmQAAmQQJoReBj97ZZm\nfWZ3G5bAEDQvSomTANcgxQmKxUiABOpGABuRdfAoz8OhETdI2Fk1VHncfuW/oZlS6+vWImuR\nAAmQAAnUQCAfebKn3IoayjAruwjIPp8iMysP/FkbARpItRFiPgnYEBg8eLBz0KBBMR7YUCgk\noTQdJSUlbmu1tWvXVhQVFcWECLeWy6TrdUo19Sjv55rS93IGgwaTC5HWb53yHdKR0QIz6ePm\nWEiABFKDgB/dCKRGV9iLFCEg3wlKAgRoICUAi0VJQAhMnDixZU5ODp79lddKxOEI20wnI/12\na17Hjh2/Q1pfa3omX7dW7ivFOFJK8+wep+aRNMnD//DJu9N5RgIkQAIkUA8EjkAby+uhHTaR\nOQRuzZyhJGckNJCSw5l3ySACo0eP3jJ58uRjMaRc67BgILXWNK28oqIiZuNYl8uVhVPKHL2x\n9YLd3xmkSR6FBEiABEigngksref22Fz6EyhN/yEkdwR2Dy7J7QHvRgJpSGDEiBHfpmG3k95l\neIrW4KYy1cPqbQsgb3XSO8QbkgAJkAAJkAAJkEAtBGLWUNRSntkkQAIkEDeBoPJPQ2Hs3q2b\n1l6Fz3XkPRt3QyxIAiRAAiRAAiRAAkkiQAMpSaB5GxLIRgI5iKIUVKEzNaVtNMYv55ImeUYa\njyRAAiRAAvVGYBlakmngFBIwCEzAiSglTgKcYhcnKBYjARKoG4EcFfxgjgp2Lhs56jVpIffx\nSeedpFSwbq2xFgmQAAmQQC0E2iO/dS1lmJ1dBNpm13D3fLQ0kPacIVsgARKohYAYRCWH9tok\nxbBBB42jWngxmwRIgAT2gMB81F21B/VZNfMILMq8ITXsiGggNSxftk4CJEACJEACJEACySQw\nMJk3473SgsADadHLFOok1yCl0IfBrpAACZAACZAACZAACZAACTQuAXqQGpc/756hBB555JEO\n2Ez2YQzPbTPEvbBX0jUlJSWnWPNCodC8wsLCidZ0XpMACZAACZAACZAACSSHAA2k5HDmXbKM\nAAydgK7rv2PYMQYSjKMFyJP9gbbaYNlsk8YkEiABEiABEoiXwAAU/AK6K94KLJfxBHpERrgk\n40daTwOkgVRPINkMCZgJ3HDDDbJr9fXmNJ6TAAmQAAmQQBIIvI17DIa+l4R78RbpQWBspJvD\n0qO7jd9LGkiN/xmwByRAAiRAAiRAAiRQXwRkfTnXmNcXzcxoR8uMYSRvFDSQkseadyIBEiAB\nEiABEiCBhiZwG24gob4pJGAQmI4T3bjgsXYCNJBqZ8QSJEACJEACJEACJJAuBCalS0fZz6QR\n+CBpd8qQG9FAypAPksNIPwLFxcV90OtHoHZTIbwI5nA/yoyxGdkrCALxnE06k0iABEiABEiA\nBEiABPaQAA2kPQTI6iRQVwIVFRXrnU7nbNSPMZAQ5W4T0hdDY6IQIW9hXe/JeiRAAiRAAiRA\nAiRAAjUToIFUMx/mkkCDERgxYsQ6ND6+LjeYMmVKq7rUYx0SIAESIIGMJyB78D0KXZHxI+UA\n4yUwJFJwZrwVsr1czJvrbAfC8ZMACZAACZAACZBAGhPIR997pXH/2fX6J3A6mhSlxEmAHqQ4\nQbEYCZBAcgkUFRU1adq0qdN619zcXK2srMw2Gs+XX3656+WXX66w1uE1CZAACWQRAT/GGsii\n8XKotROQ7wQlAQI0kBKAxaIkQAINSyBnyxa37nB4Jk+efJDL5foBd7PduyEvL8+2I6eccso7\nMJDOtM1kIgmQAAlkB4EjMMzl2TFUjjJOArfGWY7FIgRoIPGrQAIk0OgEAsrVD7EqnlK3/q0n\nOnMi9Mi5Qy48bdFJJ5badO5lBKqYgSh/r1nzkLbamsZrEiABEsgyAkuzbLwcbu0E7P6X1l4r\ni0vQQMriD59DJ4FUILBLeffH/nUSzc8T6Q+8RvqJx818pfteM58/CJk+cz8R+lyufysoKFhg\nTuc5CZAACZAACZAACdQHARpI9UGRbZBAAxGAMXAGvCL3wGMSNdUMaeEAKw6H4yWUsQsF/gjq\nfN1A3arXZvFH6DosKMJ4KsdU2bjm1pS+d1flOV8p/wv1ekM2RgIkQAIkQAIkQAI1EKCBVAMc\nZpFAYxOAIfQ/GDrTrP1AmoIeBgPpOxxD1nzU+xLpafH7DePoYBhHhvfIPJQKWE37mRN4TgIk\nQAIkUCuBZShxMfTzWkuyQLYQmBAZ6E3ZMuA9HWdaPEDt6SBZnwTSlUB+fv5v6LvsZ5GwYK+k\n3glXaoQKcI39CHMP645ijCQnLL9fG6FLvCUJkAAJpDOB9uh863QeAPte7wTa1nuLGd5geJpO\nho+RwyMBEkhhAkGlHkP3YAuZPWF6QFfa6t+U/18p3HV2jQRIgARSkcB8dGpVKnaMfWo0Aotw\nZ1FKnAToQYoTFIuRAAk0DIEmyvcLotgNCkexU+pA3AWz7rRPgsp3pTVAQ8P0gK2SAAmQQEYR\nGJhRo+Fg6oPAA/XRSDa1QQMpmz5tjpUEUpSAWwU/Q9d6Tr/v/o90zfH5FbfeMiZFu8pukQAJ\nkAAJkAAJZDgBGkgZ/gFzeJlPoKSkpG1FRUVf60gRqKG7pDmdzgFYj7TDmr99+/YvrGmNfb2z\nVUvZ/Z07fjf2B8H7kwAJkAAJkEAWE6CBlMUfPoeeGQRCodAwRLO7p5rRIJid/jLyo7JhPOl5\neXlDkbg5KoMXJEACJEAC6U5gAAYgL8BitoBI94Gx/3Um0CNSc0mdW8iyijSQsuwD53Azj0Bh\nYeGDGJVowiL7LCVciRVIgARIgARSmcDb6Nxg6Hup3En2LakExkbuNiypd03jm9FASuMPj10n\nARIgARIgARIgAQsBmTIQPW3AUoCXWUcgarP5rBt9HQZMA6kO0FiFBEiABEiABEiABFKUwG3o\nl4T6ppCAQWA6ThAhlhIvARpI8ZJiORIgARIgARIgARJIfQKTUr+L7GGSCXyQ5Pul/e3ogk37\nj5ADIAESIAESIAESIAESIAESqC8C9CDVF0m2QwIpTAChwB9G96616aITaV7kx4QBR3oIEfDO\ngtpUYxIJkAAJkAAJkAAJZCYBGkiZ+blyVCQQRQChwCch1PfsqERcINy3E3sodUXeMmse0kMb\nNmz4skOHDgdZ83hNAiRAAiSQsgTkhdij0BUp20N2LNkEhkRuODPZN07X+9FAStdPjv0mgQQI\nIBT4chQXTVimTp2acJ2GqFCqVIvmynPd+gcf2dtTXn71UOVa0UQFGca2IWCzTRIggXQmkI/O\nz4LSQErnT7F++356pDkaSHFypYEUJygWIwESaDwCW5VqnaO8CxCEp3OHpcs86MnhiGL7TkB5\nbncr//2N1zPemQRIgARSjoAfPQqkXK/YocYkIN8JSgIEaCAlAItFSYAEGodArnLfLsYRJgWK\ncSSCADOyrYM+vlypGTlK/RZO5Q8SIAESIIEjgGA5MZCAicCtpnOexkGAUezigMQiJEACjU1A\nO8NkHJk7U+FQnv7mBJ6TAAmQQJYTWIrxh7KcAYcfTQCz1JUoJU4C9CDFCYrFSCDTCWCtUWdE\nrOtiHScCOXSHNpkyZcqx1jxcB4YPH/61TXp9J+2spkF5yVNWTR6TSYAESIAESIAESCBhAjSQ\nEkbGCiSQmQQQya4EIzuzutE5nc551jwYVCGECO/V0KHAdaU951B6Hxzdu/sQjj9evlP5Y6Lz\n7S7DMxIgARIgARIgARJIjACn2CXGi6VJIGMJ5Ofnn+3z+ZokouJZQr3FDQ3ldeV7HLsxvYk1\nR6GQ0xnSNS2IFUjlFSo0uLVSiOFAIQESIAESiBCQbRvsPP4ElL0EJmDoopQ4CdCDFCcoFiOB\nLCCgjxo1ypeK47xIqQql/BcGlKv/93885ZXc0i3/7fb5Jzc2U2p9KvaXfSIBEiCBRiTQHvfG\nuyMKCVQRaFt1xpO4CNBAigsTC5EACaQCAbcKflx8zpmlmNL3SeHnn9A4SoUPhX0gARJINQLz\n0aFVqdYp9qdRCSxq1Lun4c1pIKXhh8Yuk0BjESguLn4L9z7Een9MtWsJo8WLfJnaYZUy5Pez\nJvKaBEiABEigQQgMbJBW2Wg6E3ggnTvfGH2ngdQY1HlPEkhTAjCCJqLrXa3dR3orBHloFgqF\nVlrzcF1WUFCwDcEcbLLqnjR58uR+CBzxIlqwW0vZFkbZFvQraL0D0qdh3dQd1nRekwAJkAAJ\nkAAJkIAQoIHE7wEJkEDcBAoLCz+Iu3ADF9yxY8fCFi1ajIERFGMgwVh7Cun/hH5n7UZFRUUy\nwpJbb8trEiABEiABEiCBNCFAAylNPih2kwRIIJrAmDFjtiPlhejUyit4q57A2Ycw6N6xy2ca\nCZAACWQwgQEY2xfQXRk8Rg4tMQI9IsWXJFYte0vHvHnNXhQcOQmQAAmQAAmQAAmkPYG3MYKB\naT8KDqA+CYxFY6KUOAnQgxQnKBYjARKIjwC8Nzdialsbm9KHSRoCOdxrzcO6oE1YF/R3azqv\nSYAESIAEEiYgL7/5AjxhbBldAVsHUhIhQAMpEVosSwIkEA+Bw2Hw2O25EP4DjbwjbBrZaJPG\nJBIgARIggcQJ3IYqEuqbQgIGgek4wX7rlHgJ0ECKlxTLkQAJxEUAnqBL4yrIQiRAAiRAAg1B\nYFJDNMo205pAygRYSheKdMGmyyfFfpIACZAACZAACZAACZAACTQ4AXqQGhwxb0ACJJAsAtuU\nautVnlHrJk72NivdPGqYcm/0qMCXybo/70MCJEACJEACJJD+BOhBSv/PkCMgARIAgXJsYJuj\nvD/gj9qYvRb/5Gy+YcMgTWnzfMrDKX/8hpAACWQTgYcx2G7ZNGCOtVYCQ1BClBInARpIcYJi\nMRIggdQm4FSeh7AGtZVSmkd6iogQTvx04I9cyTqlmqZ279k7EiABEqg3AvloqVe9tcaGMoHA\n6RiEKCVOApxiFycoFiMBEqgfApMmTcrzeDyzEc0ux6ZFeet5KEKFn2eT9yMCQFxkkx5OgiF0\nqq40d2y+lrtu0KnXFl94/vfmPNy/O8KRLzOnGefBYPDbkSNHbjKueSQBEiCBNCLgR18DadRf\ndrXhCch3gpIAgWw0kPCGWbWAeqE7oFugO6EUEiCBJBAoLS3d0bFjxym4Va71djBY9oHhgqVE\nqtSah+vlNmlVSTCOqvsHoC094vCH0G5V2ciJE2kV1kS5drlcsqHeA3Z5TCMBEiCBFCcgWyks\nT/E+snvJJXBrcm+X/nfLFgNJNqgcAT0H2s7mY1uKtFnQO6C/2+QziQRIoJ4IFBUVhdDUM/XU\nnKmZ0AxMqRtuTLGrzNBhAGnrWz1wf7fzlQoahadMmdLK6XSWVlRUHD58+PAoz5JRhkcSIAES\nSFMC8kxDIQEzAbuXjuZ8nlsIZIOBdCfGPC4y7t9wnAeVL4p4j8ST1BraFXot9ALoKCgetCgk\nQAKNRQBT7MS7dDU8SnZ/o1o5HI5TiouLo9YVPbdt2/rBRfct8ZbtPKDC5XI4gxViEJXpKnTe\nSSbjqLHGxPuSAAmQAAmQAAmkBwG7h4/06Hl8vRyMYmIcvQeVKTNfQ+1E5t6cCP079Hnocuhc\nKIUESKARCAQCgXZut/sSTIGzWVMk8RdUb+T1MHfN36KFeuHv975zeeH1ty487Q8vt1qxqqTd\nwq+K8BaEb87MoHhOAiRAAiRAAiRQI4FMN5DOxejF1SxHXw0kdOR9DD0VugJ6BZQGEiBQSKAx\nCCBAgvweHluXe1+DSiVnnxGE9+m9goKvaBzVBSLrkAAJpDMBCT5zMfTzdB4E+16vBCZEWrup\nXlvN4MYy3UDqjc9OptTVZByZP97NuJD1CJ3NiTwnARIgARIgARIggTQh0B79lOUDFBIwCLQ1\nTniMjwAi42a0rMXoJJqL3TQdu4FLhDsxqhbbZTKNBEiABEiABEiABFKcwHz0b1WK95HdSy6B\nRbidKCVOApnuQXoWHJ6Dvgq9B/oF1E5kTcMJUHFByuLw16EUEiCBLCCAgBAytfYy61AlQATW\nOfXG8RscZRpulSBNRwS8x0eMGCEPIhQSIAESSCUCA1OpM+xLShDgthUJfgyZbiDNAA9xNY+H\nng1dDV0FlQ0gt0HzoOKG7gbtBJWoVzdCP4NSSIAEsoAADJ0QQn7bbarYDMPvBePoGxyj8pGm\noKEswMMhkgAJkAAJkEDWEch0A0ne+k6EvgEVD1J/6DFQs5ThYg1UItg9Cl0JpZAACWQogV3K\ne4Y24sb7Kjwu5Qjpr2kB/9+8yn+VdbjYK6k3DKfzYECNwl5Jsj6RQgIkQAIkQAIkkAUEMt1A\nMj5CiWQnEV1ExGvUAtoEugG6FUohARJIMwKYGtcVXb4es93s1lK6kXct9kqS6XNV0vv92T2c\nr755htJDmsPnl/R9odP8yt3KowKPVRXkCQmQAAmkL4EB6LosKdiVvkNgz+uZgLEtxpJ6bjdj\nm8sWA8n8ATpxISoPVTKFRqbV7YRSSIAE0ohAMBhsCg9PN0x1szOQJEx4E+TJ9NkqOfQ/H5yM\nC0t5zYlFiPf9gOjgvZQKW01VFXhCAiRAAulH4G10WfaBlD0gKSQgBGQvUJFhlQf+rI1AthhI\nhwHECOg50HY2UMTDNAt6B/R3m3wmkQAJpBgBBEiQiDwXxNstzKPNbaK81bwM0Zr2UN7u2BHg\nJ7v2pk6d2hnGVk9rHow0h8vl2hvpv1nzJJDD+vXrPy0qKqLRZYXDaxIggYYkIC+BLC+CGvJ2\nbDsNCEgwMkoCBLLBQLoTPMZFmMhDjOyLVArdAZWpdhKkQabqXAuVh61R0BlQCgmQQAYR2Eup\n8oDSYSBpTWOHpYd2Kb9MubUVh8NxKzIKrZlut8zkCz+IhKx5EsShQ4cOMsXvQ2ser0mABEig\nAQnchrbnN2D7bDr9CExHl2VdPoUEwgTExSxfiHehh4dT7H+IZd0fKn9QpHw/aDLlGtxM7mvz\n4JbMbvBeJJDZBHzK81BAeXwB5dV3q1x7XrKOXII0YJ2TjmMra55xjTVOZ6BMNV4poxSPJEAC\nJEACJJDxBDwYoTzLHpcJI810D9K5+JCWQuXoq+EDkw/0Y6i87V0BvQI6F1pXkbVNo6HyZYlH\n+sZTiGVIgAT2jMCvyj92f+VphzciV+CXHsG6wzJrm/JfvWctszYJkAAJkAAJkECmEMh0A6k3\nPiiZUleTcWT+LCWU7/fQzubEOpyLgSReqPD8mzjqd4qjDIuQAAnsIYFe4SAM/it/7H3khCUn\n91/Yeunys45/81//3sNmWZ0ESIAESIAESCCDCGS6gbQWn9URUDFUojZ6rOYzlKk0YlSVVJMf\nb/I6FDw93sIoJ1PsnkigPIuSAAnsAYEPC4atRgQ8tfKA/VaqN/8V09I2pdqWj3/ginUHHqB6\nfPnVVZirW9JOqe0xBU0JmIp3ItYqwQaLEXlhIi9BfonJwd+ldevWPY9ADgzHawOHSSRAAnUi\n8DBqPQqVGTEUEhACQyIYZhJHfAQy3UB6Fhieg74KvQcq+wLYicy0OQE6AZoLfR1KIQESyEIC\n2BOpr0Npc3LWrMttuW4DNpMN3eNV3tHlytcvp4YHDhhHQxCY4RQbZEYwmGU2eYE2bdp8gHS7\nPJviTCIBEiCBWgnko4RE5qWBVCuqrClgvLSngRTnR57pBtIMcGgPHQ89G7oaugq6CYqXxOFN\nY1vj2A0qb3iD0Buhn0EpJEACWUhAU9oMrE9qjqE7YRwJAawl1Nu5lAdeXv8fq0NSUFAw0i4P\nIcLzYTiNRv5BdvlMIwESIIF6JuBHe/HMmqnn27K5FCYg3wlKAgQy3UDCc46aCH0DKh6k/tBj\noGYpw8Ua6N+h4pJeCaWQAAlkIYHycMh/zcaQ0dwwkgYtwHTdI/ngkYXfDA6ZBNKKgCwtWJ5W\nPWZnG5qAbFVBSYBAphtIBoqlOLk4cpGHo0x5aQKVfU+2QikkQAIkIARq3FwxB5HviIkESIAE\nUpyAPPNQSMBMoNR8wfPaCWSLgWQmIVPrRCkkQAIkEEUABtByzLNdoit9H9hCzt2ZOpK1Tyuj\n4FWmYk+lQ7aMf/Dqre3bebCP0i0IFV7cppa/LQjG4GndurW8nImRiooKBwJHhKwZwWAwcMMN\nN8C5RSEBEiABEiABEkgGgRrfliajA7wHCZAACaQSgZAKXYb+SFQ5v8zRlSOMoy0VSl1beSn7\nBnjOwx/Pb1qtWn1296+/lRdNd+cp7w/YMVbWMlYrnTp1WuD1erfaaW5u7ma79KZNm26dOHFi\ny2obZQYJkAAJkAAJkEC9EshGD1K9AmRjJEACqUsAobePRXS5UQiSYJ0ahzVFiMLgdN5fUlIS\nNc32GaR3/nZhwbGvvtZvw777Fnb5fuH9etmWSZibK8FdZJFiDoyjaTCaXLsb1SSQQ3u38jwE\ne0oMLFvx+XxnuN1uRAyPFnSvECm9dV2XY5QgrWz06NFbohJ5QQIkQALVE1iGLFlW8Hn1RZiT\nZQQkSrPITZUH/qyNQKYbSNcAgKw5SlTmosK8RCuxPAmQQGoRgHEhniAxgHbbMru7+BXy18A4\nwfS5aFnd99DVLx16cDEMqEJMfXtk+PDhsol0WDoqF+I0hKPcRVKMg+bRlH6GcWV3HDVq1Cqk\ni0ZJcXHxeiTsKCws/CYqgxckQAIkkDgBid4rEXopJGAQaGuc8BgfgUw3kIYDQ9/4UESVKsIV\nDaQoJLwggfQjMGLEiG/R6xivTDwjgfepdzXlZD2SncEFKyza2NqlvAesfvyJM8tbtWyHaXmD\n71P+V4uUillnVM19mEwCJEACdSEwH5ViXsTUpSHWyRgCizJmJEkaSKYbSKeD47+gx0HfgD4N\njUd+iqcQy5AACWQfge9UcEFf5dyAQA54I6eZ1nHq/pDSXjGIwCD6s0Pp07v+uEgPaZoLBWeM\nVd65lyrfqfvLMiYKCZAACTQMgYEN0yxbTWMCD6Rx3xul65luIK0D1ZOgH0HFWBoH5RQWQKCQ\nAAnUjQDm1wUCquIiRAR/R9eUW9ccLkeoIoiADot3KN9t0irCZLaFQYTlTJpL6bpyQMPnSj9u\nH+XBZtT+e6u7O6bbDUEeAuLFSKdIytqYHKyPwka0M23SmUQCJEACJEACJJAggUw3kASHvKm9\nCvo19DHoCVAKCZAACdSZgFsFP0LEuv02HnDIXaV7d/7LwbPnXLlQ+V8W40ka9SrPKTjY/H3V\n3PA8wbhS1RpIyJOpwTHzxbFWai+kw97S18jRIhtxTQPJAoWXJEACJEACJFAXAjb/wOvSTMrX\n+QE9vB36F+ih0IVQCgmQAAnUmUBTpdYWjx75GgyXSw6b/Z8ZloZk6p24jezEtL9SbDY8QQNi\nU5VCtL1pko78K+VIIQESIIFqCMjfkC+gEqSGQgJCoEcEwxLiiI9AthhIQuPvEY2PDEuRAAmQ\nQB0JBJR/DrxINrV12VvpNSMDb248ByjPmPKbbi/ElL2mw5S32Kd8dzZXaoNRhkcSIAESSJDA\n2yg/GPpegvVYPHMJjI0MbVjmDrF+RyZvOSkkQAIkQAL1SKCZUuswlW4EnEghGETYY1a8STo2\nnFU/bFb+B4xb7ac8b+H8/3J27GyTs2N7E4QJH5qjvAsQU5wbwxqQeCQBEkiUgDzb8fkuUWqZ\nXV4ir4pS4iSQTR6kOJGwGAmQQDYRwNS1E7Cu50KbMYfXAWGj2XsROMEadU7H1LqnUc+mWmWS\nRwWe9Cv3N+t79Li/vEXekft8/fUtv6jAtF6I0CAldinXHzDX7hRdaaYpd5oHhlWHZsozCsXu\nqrZxZpAACZBA9QQkWMz86rOZk4UEpmPM1f/DykIgtQ2ZBlJthJhPAiSQ0QSwEWxrbAjbzTpI\nGD/y93EZDKGONnl6KBTKQ541K+oaRtKCqTeNehnl9i4o+OIJc6ZTOY7GfysJ6mAykKSEhrl5\n+vHmsubziRMntszJyVmJtFxzupzjPtIhdN32/+DXWL90lLUOr0mABDKOwKSMGxEHtKcEPtjT\nBrKtPg2kbPvEOV4SIIEoAsOHD38TCaIJCzxLZyRcKVIBnqJN2FjWZhqMLiHD11vbdQSDmpg9\no0eP3oJNbP8AWyjGQEL2Q9AfYSA9Y60Pg84uPLi1GK9JgARIgARIIOsJ0EDK+q8AAZAACTQG\nAZ8KvNpEeSbA4eMW34+pD05Nhao2tS5Xah+X8hTrI244VcoMVZ4OweHDC3KUWm6qEz6FwYbl\nS2p5YWEh3xZa4fCaBEiABEiABOIkQAMpTlAsRgIkkL0EioqKPC1btmxlJQCvTEtMz1OPPPJI\nB2se1i6FRo0a9bs13bhGpLrfy1XobJdyvIq0lljUpDQ9FIBn6QaPCn4o5UqVauFW3rlIawsL\nyjCiTpa0UuU7qLVSW6UchQRIgARMBB7G+aPQFaY0nmY3AdmAXGRm5YE/ayNAA6k2QswnARLI\negKdOnWaDAhXVwcCa4LW2eXBo3NqNeuBwsVzVHDOGqX2XjLkkif9Hs8hR0+fNkgMJ6OtZso7\nFMYR7CANXiZDwpvNtpY87IP9iJFqPopBhz5L4AlTvaoSPXAm0+3KqlIiJzD4FsH79KU1ndck\nQAJpRSAfvZ0FpYGUVh9bg3b29EjrNJDixEwDKU5QLEYCJJC9BLZs2XIDPEh/tyMAT1FLGBZb\nrHmBQCA0cuTIX6ZOnXqtNc98vRcMleKT+i9FWodTpk+rMo4iZQ7C0c7IkTTJsxUYR12QIVHw\n7P7G7wWjbRvWMO2wVsZY3kcaDSQrGF6TQHoRkEiZEgCGQgIGAflOUBIgYPfPM4HqLEoCJEAC\nmU9gzJgx2zHKxckeKfZFkjfA8qDjtdw7EMmrSi5XrpN+mTFzX88un6P7lwte8Cr/flWZphN4\ntRbDQJqIiHYlpmSekgAJZA6BIzCU5ZkzHI6kHgjcWg9tZFUTNJCy6uPmYEmABBqKAPZTug+G\nxwBr+/DUtEf6XjBM5lrzcB1EmPFLbdLDSX7lf8ajPNjTREKOG/sl6bLxbEDyIvU0v/JM05S6\n7MBPP8c6Jr0LzhdiD6aRCDM+tbq2mU4CJJCxBMQjTSEBMwEsaaUkQoAGUiK0WJYESIAEqiEA\nI+gTZG2zyc5DGmbS2XqgAmVlZaXNm2PlkY00xVohv9JPcSjHDIT4lrVDiNSgLQ+p0CWSJ9c+\n5bkYBhGMLA1hIUKShNDhKKXU47uUd1YT5ftFEikkQAIkQAIkQALxEaCBFB8nliIBEiCBGglg\nyto7KCCasMC7VG0deIFkTdB+r4z9v1ek0IX33C3BF6oE1tAFuIA9FCMB5J2F1IkxOUjAPY+E\nd+tJnKJYtMDY64aUdcj3ReeEr17Iz8+/3yadSSRAAiRAAiSQEQRoIGXEx8hBkAAJZDqBTV33\njgmqEBmzrE+yM5B0rFPyGFwWINhDb+W+fNlT/+yQs2Xr+VqgYvHbY/76FAIzxBhIMIweQr0P\noT8a9Y0jAlJ8bpzzSAIkkJIElqFXF0P5u5qSH0+jdAp77oXlpka5exrelAZSGn5o7DIJkEB6\nEoDXZhJ63tOm9zJ9rgXy/2uTV7Z9+/Zq1ykhDPi/MaHuVNSzRrvzIi/c3hqlctspz0co02ff\n+V+5sOfSydhzadBVhaOugYfqaes9I+up3ox4xazZvCYBEkhtAu3RPWwPQCGBKgJtq854EhcB\nGkhxYWIhEiABEqgXAt9h+ppExIsSeGyWIyEPeUuiMiovyvLy8qoN0fq9Cvyjj/JiE0C9HxxJ\nLqxVEs+R1HwIxs83ctJGeW7BoTfyw0YUAjngb394ndJUuKX+3Uyp9VLORjQYS21s0pXfj52b\nPB7bfq1du7YUezGFF0TZ1WUaCZBAgxKYj9ZXNegd2Hi6EViUbh1u7P7SQGrsT4D3JwESyBoC\n8Mg8VdfBwlCxrXokItrNUb5Bxyv3FWsOPugepz+wrt2vP9/WRAXfMypg/t35MIg8xrXpCIvJ\nc5JS/hdNaVWn2MNpKC5s+wzjqKqc9aRjx45/Q9pd1nRekwAJJIXAwKTchTdJJwIPpFNnU6Gv\nNJBS4VNgH0iABEhgDwjAwgnCTnq6eFThJWhmHgyxKuMo0mzYpVTNLaryZCpeW+Ue+suzz3ta\nrVl7WbNNpXfNeOieXsFgEDbWbnG5XHnwes3FeqTzEab85905lWfwLjHMsBUKr0mABEiABNKG\nAA2ktPmo2FESIIFsIABPkXhs7OaL95XxI/8NGw4bEVnuKpv0cBKsm5cx8+4gY4qdqVwI+yl9\nINeY99fOq7zzMD2vywFzv3DCaroQ5xdcWfDXcxEq/F1THTVlypRWTqdTyZTAkSNH/mDO4zkJ\nkAAJkAAJpDsBGkjp/gmy/yRAAplGQNYhbbUZlBFye5VN3kabtKqkVco/YW/lPQ1G0jEhzeGE\nwVSBIA0aFgldhR2YfpeCXuV5UIwjYyoeysh6JR1m0PPYSKnT/rLlko1gGl4+AuHdbM2C8eSE\nl6kj0ldb83CNbP0meLrsjD2b4kwiARJIgMAAlP0CuiuBOiya2QTC++hhiPL/hRIHARpIcUBi\nERIgARJIFgF4gu6t73t1x4PSS8o34E/Kc9Ev/Y6ZnFu6ZW7nRYtu9ip/1cJdGETnGMbR7vtr\nSNZb7qNcR2EW36dG+jEvvdRmxdHHqrxVv7VfMmDALBg7mOIXLUjbGwZSEY6PIqfMnIs0HUaV\n7O9EIQESqH8Cb6PJwVDrVNv6vxNbTBcCYyMdHZYuHW7sftJAauxPgPcnARIggQQJYJpdJ6zz\naWJTrQlsj5aPPfYYbKJo2eh0bvEOH/5C8eUX/w1l3iosLKwyjiIlq9YiRdcUI6kyLN4cpVzH\nK++j2ofzCnp/OE+KvT9gxiuvbFL+K+Eq2mmuh2l4iJqnirBO6bnhw4dvNufxnARIoEEJyN5m\nMfubNegd2XiqE5C/45QECNBASgAWi5IACZBAYxOYOHFiS/RhJaLIOe36Aq/N8cgbaZP3A9IO\nsUkPJ+lKex1T7C6P9iLpYjRtXq6CC6TQCcpTBFvpGpQxP3yd01p5ihEJD3XtBfs7PYR+XW2T\n64SxloM8RBuPkRACQJwL4+qTmBwmkAAJ1ETgNmRKqG8KCRgEpuOkmpdgRhEezQRoIJlp8JwE\nSIAEUpzA6NGjt2Ddz16YohbjQYKx4S0vLw/k5uba7UFkt66parS7lG9ME+U5EUbSPrrmcGOV\nkISuC1Wo0MWR9UfyBvKvMI7cVZXCJ5oHdS6Bi+i6VkptMfKOffX1A9YdeIA6cNac/WbdOAoG\nlPrMyDMdD8e57NE01JQWPoVxFEIgiK+s6bwmARKolYBsSE0hATOBcDAecwLPayZAl1vNfJKV\nizey6gloM2jUNJVkdYD3IQESyA4C8OYshiE1EVPsYjZWWqZUk87KffnPJ54wueXqNTPbLP3p\n/3KUWi5kJAR4O+Wt9u9ThVI9Ee3uJ1hIrZoq72uoMiCE2XmOsBNKfxWBIi7rblk0jr6cAe/R\ny1h31RTnp6FfMi0vSpCPOBKqM/IWR2XgAnnB7du3l9x8883V9stah9ckQAIkQAINQkA2x5Ng\nPv2g4TnYDXKXJDVKD1KSQPM2JEACJJAsAjA29ofx8CHuZ/H2YI6FrreC9+khrGO629qf/2JR\nN4yVK0ou+/MjKPcCoswtN8rshUALiMSwCnM09jbSjCM8SGUrlT9ctqnyTMNdjoP5EjGOwqXO\n7qLcD2KvplFGHesR/T0JaQNt0tuhLx2Rv9Cah+tAXl7eKzjSQLKBwyQSIAESIIG6EaCBVDdu\nrEUCJEACKUtg3bp1yzp06DAShlDM33gYGt1hcKzDsdw6AKT/bE0zX1co/WYsPnpefDdIj8xA\n0INYv/S3/fHmcJtSbZB+diTfVFXzwLC6ukip66Hh6X9+5e675a77C7a3a+MJKM/Ynfn592Nx\n1RhTpfCphBFHX0fDWDvGmsdrEiABWwIPI1WiR66wzWViNhIYEhn0zGwcfF3GHPPPsy6NsA4J\nkAAJkEDqECgqKpKw2zLNrV4FYcFf9ClPAAbLfbqm7Q87aY1WERjnUf4n5EYe5RUDKWI4WW+t\n5VyLKXxF8EShjcEo9EKrNWt1qPwfurOZ8g4vU76jc+33TQo3Bs/YbNw7ZhoeMr0w7lzIs/Mk\nlUH6yNqtcCP8QQKZTyAfQ5wFpYGU+Z91vCM8PVKQBlKcxGggxQmKxUiABEggkwhgil1bhOC+\nHF4mc0Q6Y4hibJyHMgcZCcbxGV2fi3rHIIBCKQIpnI4oc98bef9TvmV9lWcbPEp5RlrlUdc1\npS2VaXqylgk3fAp2lHN3GfEw6e1cyvMQouFdYqTDI9V2xfQXjy9r06pVQLmOezIUGovuxkzx\nQ3l5O3ogjKS7jLqmYxmNIxMNnmYDAT8GGciGgXKMcROQ7wQlAQI0kBKAxaIkQAIkkCkEYNx0\ng5FzMcZjZyBJ2O1joYdZxwvDScrHBEyQckfiocyv9JvgHULUuqppeOEpdXBp/VXKtFMuFAsH\npJFLk2hurGUy3nKqXco1yKkcb/Sc94UnFDbiHJ9dPfz6mfcq/6VFkWl6RmV4lvrgvBWm4b0C\no+5tnLc18uSItDthPLWTc/T/dzlaZCPWXp1lSeMlCaQrgSPQ8eXp2nn2u0EI3NogrWZwozSQ\nMvjD5dBIgARIoDoC8PxICO2jq8uvKR2bwCKit714VOBJTKHbGPK47w66Pb08u8q/CFUExuao\n4BypAe+SH96k6qbhhd96b1IqD8bRqyieg6gSmqMCMfIwcw8G1IW3K/fcIhV4TNoypN2yFS1C\nDi23qNLYex3GkEz1ixIYRoMlAXl2Uw83RhXmBQmkN4Gl6d199r4BCJQ2QJsZ3WQ1/6Qyesyp\nODiG+U7FT4V9IoEsJzB58uQuLpfrHEypi/pfAYdODtA8CGPjPihmzUUL8mfBQ+WBh+o7HFvD\nGNtslFiAyHp9lfc3TKlrD6PH5L3S/TCenvAo33UwsM5HxkvIN03DM1rQ57uVP2zY7VLeA51K\nfxnlDpVcdHI9PFVDEW78XaO0cYQXaZqc79y5s7Bp06aP4xTLnaIFY9kXKdvtvEzI+xkeqr9F\n1+AVCZAACZBAhADDfPOrQAIkQAIkkPkEYBz1hmFQAIPBOlgN6TuQfi4yxL0TJTCoypAAWyhW\nML8uEFAV8OY43sXCJK/ucLocFUFp43/blW9spEYu7liByHc2BlLl9Lx1SjXFFIgPUaZqOp0Y\nXajwJgyswxFQYqFx9yLcrNNPvyBInlKbSpvp/uOabsVpzBoNjAfLpNR66K/QKEEelkRRSIAE\nSIAEsoFAzH+9bBh0Co6RHqQU/FDYJRIggboTwDS83nYeJKPF7Uq133hwn7tK9+487JD/zrr0\nDeX/10URY6tcqX0QsGFJtIdJaupYaKw/7laBGxEm/ApMuvsHyriNNiuPegCeqKfhiSqQawR3\n6A876wWcivEjAo9XxZ/dKvhJ5eXun1jLNAtX8+D1ehZ9fx/nlrZxN02T6YVlMBBlQ8QoQd5/\nsJbpqqhEXpBA8gkswy1lfeHnyb8175iiBCZE+nVTA/aPHqQGhMumSYAESIAE0ogApq79BcZC\nOACDudswFprINQyND2F4RHmZkKdPr6i4A1Px3sT55Uf89x1Mk9stmL+3HNbHOIfSMaUt/B4P\nM+7CU/DW7lL+e6UkjKNuOEi7FiNGDKZQDykDN1YXbFf7LjxL6IvxPhCbzirHe8jriTl2K6Vc\nRLTWq9bkOEKh5pu6dVmBMd0KjVmni/4+CA/Ze6jzgVHRdPzJdM5TEmgsAu1x49aNdXPeNyUJ\nVHnaU7J3KdipmD/+KdhHdokESIAESCBFCQQCgQUwgqZbuwdDwgEDoy/0a2se0hSMjB9hIPWy\n5hnXmCJ3F9YYfbO9Y4dxAa/3wDYrVkzAPkkT4b4J72eE0Hg/wmqy+R8mXib1nbTjVp4rMQXP\nCeMIRQ1Bv5TulDyEFL9bUhEx71Snck5T4x/ohMt+yO8fUtoQrGX6RfLNAmPv/3D9JcYnxtA/\ncDQsr3AxGIxy7IYxyma8vnBi9I8X4GW6PzqJVyRQrwTmo7VV9doiG0t3AovSfQDJ7n/UH/Zk\n35z3qyJwDc6egDaD2m10WFWQJyRAAiSQbgQQ7KEf1jMdb9Pvnki7DHqHTV7I5/P90+12nw9D\nYzQCJEjZKpkD4+h45fkW/8T2hwEkUzsgehA/ygPK30u8Q37lLUHku6ujDaRwuRCm4f0D0/Dy\nsV6pF6ynb5AKY8swdvQgPFQbNijf/piXB2dTpcBgO+DzSy76sFlp6Wtrm+feu+rkk8+DkWcy\nvoyS6iGcPQP9sSolchIMBueNGDFCHmApJEACJJBJBDjFLpM+TY6FBEiABEigYQnAODoOdwiH\n2TbfCV4WTH0LR42LyUN6yOv1zoGnyVyl6vwkpYLblH9gE+V5TEcIb7ir4BnSvoD3p2D31LnQ\n/2D0iNEUMaCqqiNN8pCrtJEwrOTM9MJQc6Gddm2V+wKsYgp7x7Dm6VEYW9cd9+IrCtPwCvoo\ndZH+8utnIqz5l1WtRk7gRZLofm/iUsY3yZwPb5vsyyRJ7aCbUC5mgDAI74OXabK5Hs9JgARI\ngASSR8D0DyF5N+WdYgjQgxSDhAkkQALZRGDq1KnnwTDoazPmw5F+LAyJKTZ5ga1btz7aonnz\nW2C09Lt25MhTzGU2wCvfUnl/hGHTEQaQuzIvHMRh3RblOxgLNXbA8Hkfa5IGmetFyu3C8R6E\nFB+PMsNgSMHLbw47LoaNVvq78nUze5ngkTr00ysvm9925cq7fjzisGnbevQYCCMv6n8tjKRc\njOcJpN+Gsa3BfVqY74/0+chfjTwpV+XBMsogiIReWlq6pqioKMa4MsrwSAIkQAJJJkAPUpKB\n83YkQAIkQAIZTkCMI+iJNsNsjrSd1eQFcnJypinMcgs54ECyiBhAO5XvWA+8TMj/k2Q7QhVv\nBbDXkuRFin8PD1J/GDtWL5ML1sfiyjKaTNPDWiazyLomvVVr5YVx5XtTpvydqDz/hBfr4hOm\nv6hjc9vxB83++OqQ8p0KN9Kv5pqy0S6MpCdg/LyDGXrnIa/InC9eppoEHjnVoUOHq1Dm6ZrK\nMS9rCQzAyL+AipFPIQEh0COCYQlxxEcg6q1WfFVYqgEI0IPUAFDZJAmQQGYRwNS0S2BU7Gsz\nqlOQ1gU6zSavbN26dZM6der0D8nD1LUrzWUQUrwbQorLdDvYMZqrMk8i5qkl3yt/nyPD+zZ5\nYChpB5rr7S6nX4Npdv8MKI8Eb4AaniopoQfRzq8e5T9YLiRlGe7TOq/NsF/6HTt5rx8Wj99e\n4Xx09h3X50meRQ6EofQODMPD4FGSMR9myd8MFh4YWAcgv2rPJ6MM6oWw3um5kSNHbjLSeMwa\nAoiiH57S+l7WjJgDrY2A8TJlWG0F9yCfHqQ9gMeqJEACJEACJFAnAjAIBuLB/yBrZaRLSGMn\n8v5ozcN1Wbt27SQIjq0gpPgKv9JPwBQ6WRh0NNYz6dgF9y2f8heKcSSV4BWag2l63WH8WL1M\n7pByfC5lUP8aWECRaXySIqK58BayJ6bo9YUR9c1O7MXkVt7PtG07Oh/y/hwFL9MYLETK32f4\n9QMRte/HyjqVP+FlkqA9CkbOCozrVOiZ5nw5R5oYVvvgCC9YtCANTjPHp0ilgRSNJhuu4N1U\nohQSMAjQIWKQiPNIYHGCauBi9CA1MGA2TwIkkB0E4GV6CiNtazNaY33TtzZ5G+FZuurJxx6b\njel6864ZMeIOcxkxbDzKi3o61goZRpJegUAOj8PwuV7KwoO0DXkyHdAiOkLrhQblqOAHKPMW\nMmHERXuZkPYj1joh7kOlYB3TRSG3564Kl+tA9y7fAl0P3NZEBWcZ+cYRIcfPgCH0MvreFOeP\n41w8aVEC4zEX6WJIrYvKqLwI+P3+P1133XVwbFEyiMAojEU2R/49g8bEoewZgZNRXbzYc/as\nmRpr04NUIx5mkgAJkAAJkEAjEcB0s6UwCGCsxIg/krLKmgMjYqOkVbjd8gAhGiVNlVqDtUx9\n4f35vx1t2gxzBoMrc7ZuvhfGkTFtRcrPQ1U8hBjT9KqaCPhU8Bs8lcj0vdOR76zKCZ+Ey/dG\nJIa9EX1vFbxNBXhzOdkRCGiuQNiBdTicAf9BiPHzsC/Tm0ZdWDtNNz0z/cTNXbu4AsrVH1bh\nSxiHTBW0yglIF8PpUWhnnLc0CoBTBabxHQpv1ZE4b4q89Uae6Vg2fPjwj0zXPE19ApNSv4vs\nYZIJfJDk+6X97ehBSo2PkB6k1Pgc2AsSIIEMJ/DQQw81bd68+XQME7PrYuQoGAqyticqqEKk\n1E/Yi+l6eGoWI39iYWFhOFa30QK8PodgTtMXuMY0u7CHCIYWdsRV2hi38k3AjrPefZQHS57M\n4cSN2phKp3z7/gADqY/yYEqc1ROl65jCt9yFMlJDIuU5lfZ+CJ6ykMvpgMEmIfVm/ab85+wv\n2SZBdMB8R0gfnT9ieE/0fS6y+pqyw6cYsxhvsrGvYUSai5SVl5fvN3r06C3mRJ6TAAmQgIUA\nPUgWILwkARIgARIggbQgkJeX54ch8C06C4dNjOxAinifYqYmoc6SmNKmBKwh+h+8PIc7lP63\nHW3bDHHt2vWjd8eOIq/yvSrFxHCBP0i8TEfDABKDJCK6bFq7EtbaMtmIFok20/SwMEqp7mvQ\nZyym2gVj6U1M72uLo9MZrEAVDSH19IEwwP6mlP92aVg8TIiwN0GNGD1MC+nuYcrzjSoYeZ1b\nBT+VfLPAcLob18fBAByEc5kGGDVFEZEC30V6exhSwKDHsEH5jah7trlNnpMACZBAOhOgByk1\nPj16kFLjc2AvSIAESEDBGNgfxsCHQAFvULTAQGiFPHiCbEMov4f1QFdgHdROlBsMo+Edc214\nfnrBy/QZDBrxXsnbVthMOiyc0B9huHy8VanWucoDA0RCiEcLgkSUuZS/GabgHYF9m+ZH51Zd\nrYW3ai+5Cijv+2i7P9qS+0DCG9LKuqmjMTVQDMSwlCvXyRsO7PlAhdezV+fv/zfmn48/nBty\nu1sb+abjhZHzVzC23jg3sxHD8mNw6Yo8iaC2OVLWfPgNPGabE3jeYAQeRssypXJFg92BDacb\ngSGRDs9swI7L3xrxYPeD4mVQeovpLVZ6D4S9JwESIAESIIH6IICw4MsQFnwE2jIbAeGmYQR0\nhxGwLmIkRd0O6T9HJVgu4GX6AQEfDtK9LW5Yd9D+N7VZueb5nE1rxjdBSHEpiggQpbCY3oAx\nc+Zuw0ZyJOy4/oScVCi9uaty6p7NC0497BWDEXUMyg5CG1I5IuF9m7BjrSYBKMLGDgy2u2GJ\nje300y+Ywhcu/MyVI2/88FPlO/0kmfUXEfFc/Tj06oFy6dyxddrPgwZJwAirB24Axt8RXGTv\nHZmO58R1VQeQ/hOm+y3BJrdNse4JGGJl27Ztm8aMGSMGFmXPCOSjunxGK/asGdbOIAKnR8bS\nkAZSBuGK/uuZUQNLs8Fcg/7KPz8J62r7jyPNxsPukgAJkEBGE0BggwEIo/0uBhnr7dHCXpsA\nDATMjIuRYgSSGAcjoRTGQh8EQPjeXAKul5bNlPcVpJ0StlrQAoyjF1co/5X74+0sFijl5SnP\nevz7hl1lFh22lXoX0fD+BAPpShhCxSjjNZeoPNd/QZkDUKYPynyDMlVGTCQ/gPuNhJdJ/ifB\nTeY9GwbZdEwDlEh4sKL0bUGlXY6AETIVL0pKJk+ehTDp8yp0fQY2s40KWx5VsJoL4HoPXibj\nQa6aUkyOg4B48C6CwotIIYEwgfDvM86ubUAeGeVBsvxhbEBsbLomAjSQaqLDPBIgARJIMQJF\nRUVN4GXqD2Mn5v8oDKd94DH5DXkuHLubuw4jYBnSy2EgvY/jZSj7qzlfzn0+36Jj3n735I0H\n7P9arw8+OnyfH7+DIbNbYNzkO5Q2BUaLJMJA0/04K4PhcjQMl19k2pxLOeBBiDF+EMtBzYKB\n9EeEHL8F5+NQxmpoiVH3b5Q5G8bR/k6lI3aEROAz2gobfVj55D8YFcN9lwAVMLamoNwJyqFV\nqFDo5S8vuOCehYP6x7zww3hnwTB8GsefwaYEPMKDQF0R6R/uFDbGZJqiLLCKEuQ9hWmMY6IS\neWElsC8SlkPDPK2ZvE5PApMmTWqHFw8x018DgYC7SZMmHvxeye9ML/xtaWGMEL8vPqT9vmrV\nqr2Rr7p167bKyDOO+DtUihc1XxnXe3CkgbQH8FjVngANJHsuTCUBEiCBtCWAtUh/QeenJToA\nPLDcgYeat/Cg8x0ealrj4UU8AlGyS7kGlbdqM87XvNkxbX9bNcWvfA9hzttKKVQEo+l25fke\nlscBMDfcuyvqIVgvf5Q9lbBG6UYYVuNtDCR5qH4DBtL5MHzugvUFQ8rqidJ9KPQgpgzeWaZU\nF7fy/A91cHsj+IRMCVQ/f6b8h50UmapXrlRXp/KMK2vZ8lIElljrDAQmPPv3e1cpp9POA/c8\nHuwmgIE8cA2FVhlRSPfjWgyn9lAJzx5jBKDeffBEicFGIYFGJ4A1jafgezvA2hF8T+XlRE/k\nfYvz83Dcz1wGaT6kOZEmnmB52SABXOQ6EZEXHkG0Fa6H9mJeOiBvA35f9k6k0WrK0kCqBgyT\n606ABlLd2bEmCZAACaQsAbz19ZaWllY94Fs72qFDh8F4aJH/AWbBTDVN1vgcCZ2LB5igORN5\nSNLvRpoX5+GNYs35co6nKdnc9kWcnijXmBq3NaT06zB1brpcwzt0ILxDPyLHYqDoQUyxGybl\n/MpbjHpXo4zloUw2ydX+4VG+AnizJsB7dB3KyMORSfQgLJc/w4h6NWJESWAIPOAZBpvcR3sS\nbQw3KiF8YFuv8oxa17Pn7c1KN8/amdd04js3Xd/OyDeOETbifbod2hveqPCaKiMfR3koFHFB\nw+xQLuozQBv3wPicjTfynZC3Jlza9CMYDIaQNx/eKpm6SMlCAnjBId+N06zfHUGB748EKlmI\n794pyND4TSwAADcdSURBVD/HjAfXQeTLd1AMGnytwwaO6UUFvqC6/hPSK1DuEJx/hPOmOM/B\n0RAk689AD0T6OdCROPdCzWUC+J7O8Xg8N+GlypHQi4zKxhH1fPKCBWOZJmn4Pl8pxwYSGkgN\nBDabm6WBlM2fPsdOAiSQtQTw4HI4HnrOsgEgRslh0AXQrnjQ6WYugzrfI60N0i6GjjPnRc7x\nvBR6uv3S5VeGPO6C7veMPxDWVtTDPgygUTCAHtEdDjF4HI4QVg8p9bJH+S9BG9gUyX0NjJ/H\nbYwfCRoh65SeRJn3EVVvUOz9dQnWcA88UeNxnydxn7/sNo6M0rqE1jsYRtRi8TC5lBfR+WQj\nW82DflSgjob8K5D/vFFDyuneZjev79FjZKvVa17c0nXvSe+NyG9m5BtHsOmO8xIwOB8PsUNx\nfraRF+8RjF9CO/KA2xkKYzJGAmVlZQ9wj6gYLg2agN+ZE3ADeYEQJfi82kN34vPG10cNgVYZ\n9pKOa/E4HgxdDc3FZ4tgKLu9kzgX7yTs+bB3Ury2YmC3glYJ2tmBi62ouw+OK6HiwYxa64cy\nryNfDKCJOL88cm9c7hbsLfZRbm7usShn+4LDKCn7mKHMaHh4ehpp1iM8VHcjLRym35pnXNNA\nMkjEf5QPn0ICJEACJEACJNAIBPBG92vcVrRawUPSaDwkHWQugOtjcS1TdCRinDzoyUNa1YMa\nHsoUHhQ3/t6jeweUdZbiobIEBczyDO47NH/kYcv79pkUaNKkW4+5n+Vj+t1/jDKr4UXqrDw3\nwFDBmhbDQxSePrdE8irLOZbCqIHhZXiGjNqIYqd0eYAU7xW8WDH5khVA3tE4Lsb0u4fQDh5G\nK8tp4YdbmF5KL1mn1Osd4RSDMSaBJRBkL+DZ+8fFUv+Cpgt/OP/KgpFnyrRBSRAJKFf/XTnN\nLt2V11w137TpCkcwcOe9RWPPr8zd/RPeu9NcodDM1b//3gLryW4Bs367c8NeKHkI74l0jD/8\ntl+Y55nL4CH3WjygesDYJQ/COMpngu5XiRil4u0Ke8KQvwpGWycpb5RA3jboK5hS2QYegTLk\nwQ6MFnyW6/CQ/Et0arVXy5AjhvPn1ZaIZGAtnadNmzZiAMYI+tMcXrbt6E9HnO9nFMA1ulu5\nHxaOXdC3FRiTrH3papSRApBfcd0E5cUT8wvKyYuADkYZHMW4WIE8MfSbo9xSnMtUM2FYJUgT\nj2qYqZwjw8zXKCdeGydU8qVdp5EhR6SLofsZqvfHUfiI13A51CzC999Q+bxeRJ3vzZlyjvSv\noKsxVgmycpY1yIpRHkFceqMMluOF/m03RVbK4XtjFK/22OWHRW0DOTle/CLldFEq5nuBhO5L\nnp95lL+Jtxt+P47CSwu8ZIgSDVNlL7r6ltv+JNRwPgQvHF5CCeFEqYGA3ZeshuLMaiAC9CA1\nEFg2SwIkQALZQAAPW/LWOmqqTxzjlik6x+BB7s8oe/T27dtjvCwXTHm22d7LfrkzmJNzpbTn\nKi+fVqZ8d8DNE14XhQeu3pij9xWy8EBaFcghCENmY6ny7d9eqR1Y7/Qp8o+X+tGiY9m4di4C\nS7wdVJ7N8GKhWavIA3HoJOwT9RECS3yB3CNwH9PDr+Rra7D/E54flS4Pg+jPC2hLngdxKlPs\nwm0Mkr2mpHW45Nx9sB4KnrO/YhPdXDSwBE/UN6Afb0q+IXMwXG3wxff6WuZdfPyTJUc9X1LS\nDQ+8exv5xhHc/ww9AHl34SjGrNmIgltOL0VZw8D9BfnCwjQGo6Uaj+hmzYL77EKJ0uuuu26v\nq6++ekvfvn2lTpQHRFpAubDBETlKknBKVGRdixgeMg4wDrdhbkeaX4N8N/Ja4XyFHCPXOA33\nI4T0/8BwOgBHMZzegYqxVGXoo/wucH0Sx9FIl74/KEeLbC4sLPwGvwOzkD4PhuT/WfKrLlFm\nMdqYiPLW9wVVZeBtsd3HzCgA46dVxECKiUJplPnuhAEXrzv4oBkHzv7w+H2WLJ5rpBtHiQ7p\ny2s+DsZPn7z1658NKf89sAqXGPkwfLrhpcGr+Bbj+y6il+GFw/Xita28FneX+y/I/we+xyqE\nvaKdFRWwDrUpmLY6cncZzwv4PRg8VAXDn80zyoWNqcNeYjGg61syaopd1RuM+qbE9kiABEiA\nBEiABJJDAA+F59Z2Jzz4yRvxQ03lPFhn841xnZeXJ9OHouT9W6+TaWTt4SlpKhnweI0wF8Db\n6O/xsPcnPEw8gwcv2ENhWYz9mgaLcSRXugo9gQc5eF+iDBtModM2/q58syvLhIMvhCtH/xCX\ngLYLr/blofmo3UaYUSpslHWGZdAd1s0KPAVOQRmH6e2vPOfA/nEgXR0itXorjzwcXwbjSB7e\nYUjp++Ip/zUEvjjD8KDB0OqF/v1be/lf3WBN6A7lWTks/7q7MGXwbqljCMpdUNq168EVblf7\n9kuW7LVCBU7Zv3KzTKOI2oAtPBZeOexVSeg17enzO2IaFzw3pi5WFu3YocN/YXHMa926ddHG\njRv7mY0JGBGGgTQND/ivoIZwOw5lqtqBIbERl78jUtk/Uf4NnH8CL0ePytarfv4iD/do4w2U\nvxblDA9OVQF8J370+/0dcfwPjr2xxmVrVWbkZO3atas6dux4Gi7rc4rYtdb7GNclU6eGH+gL\nCgs/MNLMxyJ8wO2W/5argkEbI7uyJIyOfebN/bx5zubNB8v3yfo5SVo35b508YyX3K1XrbkI\n5f+HBT+/me+D78hp2ogb7wt63MoRCv3rKuW5E78DM4wy22Dg5SjPW+rTz4/rOfdLKfMZDPu3\n1in/kC4RDxCmnP4V37mJudu262rbdjFcLoMxNNiHlxRoa9EcGOa4/i8+2O5Gu/iW5uK6BL9r\nq2DIv4u+dRfjCOkufI9hbcvXAylKL8R38kO084oYYbgejHTnQcipFHjZkIa8GWjnrUgiDzYE\nDGI2WUxKIoFrcK8noM2gO5N4X96KBEiABEggSwjAQOqKB2PDiKkaNdLCi7/xsLwFic/gwdr8\nkAnjQsmeTu2kgjyAy9EiG9fm5/c7ZMytn2kVoQUXTHjwOku+TO15AE+CN4UcmAUVCom7YX1I\nhc7EG/GvpWxAuSei9eFQeQsdEQnzra3HnLpu/9/eecDZUZZrfHazJQkkpEMKaYQWOgEFEkwQ\nEAgK4hW9whVRQZEoIEUpipEiChdQJNLxIiICSpEIUqQpLSF0AwRCKOkhCSF1d5M993lmZzaz\nk7ObLeecze7+3x/PznxlvvKf4eR75/tmxhFjgjKNC9cvTYtzeau3+A3sFJRvJkdnRjI+uT8/\nqOiq6YneeuueBr3rHYuaPBnfWX9Jz1/t5YHy0KB8plw7+TJ1nTrBOFaDzzt8jO7g/1ZDUrfZ\nQXUp/BbVi+8FlWPjwbf6faQSblUe//suy6xQGV9XGffVhMNlTzvote1XyxE7QFpXVL3u9lVB\n5Wk6CeEsnfPN1TMzfYPyk2aP3GFi5xUrXunzwfvnxTNicTkT1Yazg/LDX/v8oX/p+cHsa/u8\nOm1isgzn+08QlA3cos9xM8aMvmHA9DfPL5v11pWxIxuX40H+6kHDfjxvuxFnDX9+2plrVi65\nLp1HA+ztFg/e+sJlA7b60ojnpp6h2cKbBKvO+EV89lk4bPglWuq45+BXXjlXyzJvGub3g0Q2\nUe09Nyg9YXmffudWd+rUs/uC+Vd+ElRergtteZxnVc1bEq+uLgqX5wXFmerJVUHlhK5BMDvO\no7aMTzromml5XefyaDF+M86zsetPHmAvOTZP60xukynupE9/Va/VQkLNcFZ/IV6+qTKO0rmU\ncxqfb5fuF5ZkTtV1PMkhOUOTtTlYeZLXsZ7ZK7rJLyTRCdV3zsLvmCXSfWT4IpZH5ICP9xsq\nOwXFD6kMVZc0P7JX9JhmSw+Wk3WaHJ1fKlw721aT03mCu1XO0cqj6zPzXeUpTZbi61TtuU7t\n2eD/07r5mhxyn+TnBV6q+myTj97EDgjP8ibWpo7YHBykjnjW6TMEIACBTYyAnKgvyhmSH1HX\n5Bhp/BuaZx++pXDtAE/hSoUXaPtp5Viq/Q2cFKW99Y2TTrr62eOO/7fu4P+lz/33/Sh2Ilzq\nfL3Fq3dQ5iVSe68rKSnWq8C1bCtcVnSIBp/PO48Gn/doM14Dvtq6o4HlqxoQjtKoul/noHyB\n825omcqLg8ouZ+sbURp8Pqwysox/MitUTjcPuHVH/n7lSQ9QNe4u+pcGqGM1+N9bzpHalS7H\ng8/MGWrzb1VO9B2pDQeoWlq4k+7gvy0HYKAcNvktgWboYucvfM7rjXvVp6/o2Setz9tCg+rn\n1ODhyuO+y3HMaEqp6Ica5P7GfY34PaLdT+n1e8VFa7XeKsisVFs+p7ZMcR5N521VFpQ9pXYP\nXVfSqVSM9QxYsFigx6ot4TlTv/yc1xOqp2t1cXGZZkD8ja2FVUHF6C7RbIr69XnxuVt5XKx8\nk3DAPaciqNinm/I6UuWcrHKuVhv9oTBxdJ7grWVB5ejYAaoMym5TmrpYp98zlwSVe9vZkife\nrWdQPl192FJ5okF+Rm0uWrA0qBjpcuS01LvE86OgYoTLUVuO0zE3qwz5z7FlwhnMeUHFMM/s\nyJnQLGf4IpHktaUmB0tmBJUDdlKX1gblsxQxNC5h/TazQnl6q5zucrLU//Q14ZyZ1br+Nv9x\nUDIu+zfKwjyf6PrbQu09Xu29VuWknJ8wT/ihZ/2/cLZCP1Oezo6ta5kHVM7hKucKlTNBeRJ9\nck5fX5lJui5Or3tci0OuBwepxRgpIEkABylJg30IQAACENgkCciBKpWz8xM1rmuWBm4j58gv\nHPDSujHaTzoYy+0kKf5Liv9PtF+3iKqqKcf/4My5mgG5q+f7s6/r+9q0iVtogBpnUqFbRgP8\n4RrglxTLiVIFCzXAH2dnw/n0vNNjGgCO0aAwGlA7NnQ4btfs0PE1Tkt9s0yZNzWw3FEDSz/b\ncf2GA8uwrBnKs31jBqgavF+o9p2lclID3fXfkVKeS5Xn1A3rCl+T/hXNgtyjPJcojwazGwx0\n12o2ZahOxJyNzcAdoOeE1OZ71YPxKifJRviC19SnPd075ZmuzXbKk3QmqhSnmYvKQ2fppQuD\ngrJ5CuvUJB2B9YxXBkF/nacPlO7ljQnLVGp64zL16Sd6kcb+8pueUB51LWl6eWJQ9BM5oZfJ\nafFbFi9TOMsAv+gsOYdXKc91yvNN5Un0yeWFjuqJcgJuadwzcOWL5Pz0SbZk/f660YuCtS9r\nBk9dy27yWLd3iqD5Gs9qnsHcMijdUa8emZYtg5zFOSVBxSBdf3spz9QN8/jV+MFfdR3/t/I0\n4KAXnWk2EeMnxUZFJy18Jm+sZiD/lYzNwX67cpBSF28O8FAEBCAAAQhAAALtkoCeQfJgWXeu\n6zd9+6mvnlu5RE5QatAa+C1jMxS/SNvNtfVHMmsLypSWDrjluqteUoRfk6a3733nrOtqU4Pg\nNu13XrXqtCN+/ov+WiJ208D/vDGxZNZbv/YsQZxNS+2O1YyMZ1JGVpd0KtIsicaURc8vi5YT\n2ZGSw/GwRuXjFJ8YeIdLpS5xOZr1mCYHKZHmWFs4C/JMuKfnojQwX9/4MD1M8RInTQyp9KCo\nr47JNs4qUVq/mjyZPeQoZKkrfKpeExfBPWrrEXXb6iND09c/y8ZpckNoio9RTFjOk3rk6tOq\nvXONkzNgdFA66vGgyoPyw1VOqj1heA81eKA6o/F93bclhrWEzkfm4Bf0cotBQcleiks5R85V\nVCYeX/BeSVB2gDbinraiMr2V8IuKlYNdLAdJE006pXVzmXvmQMXJMQrc/1R7w9yOc5qserjK\nSl9nTvAMkSZ1bBk5PllOlfLo9Qa9whyakcuex85EUDxAs0xVmtFUniw3BjLVa4LKRbpwl2sZ\nqFbrFYlP0sIy3lFjVk8Mql7WR5zfVmuGKV+ib5kqOVk3+Sg5dS/IUf27dg9Wnuja8HLTwBfz\nRVGeqXIOfyfm39P16v+L9F/NEs/3g4rwfxs7QLrWLxbz897RwlYfNyKTKdbOxeW5d45cfLuy\nxMlpV/2iMxCAAAQgAAEItAKBU045ZZGqPaGhqvXq8p31zNOlcoQ0MF1vCu+h4Z5nKLbS/kDt\nD1qfqhFmly6fuvNXF4WzRS99/tAdlf6LpBP1R2UuWrlywtg/3L7d3F12un6HRx4/vP/89x9M\nlrEyqPxKt6Ds/xR3pLNrkLmqWrMWujP/B+fTDMfrWv51ixp2jAaf0eA7HHyuXhdUXuA81Xrj\nnZwTD+I3MA1A76yJrH5Bg/RvalArx6OOabBbLX/DVjyrZmAb11MTq79+TfrsKLSmNrbujgbF\n4ZImjY4z+naUg+5UVXBHUBocEob9hdyMZn3CNqTbEeb3H/W1XO0MB9G1kakdLbFzBcqW8GoT\nedTX+HjPStU0JpHuXR1sB1vbzCfKnyVP+CzYUudRuz/UxvnLHU6YltnVvEJeca+otM8od9rJ\nLFFj3vAx4vIv5R+WJU+p0qbU5AnuV56v1c0TOjbLZgdrfa4UyOjDycH3U3ns5N0fP+tVGWR+\nqDxydPRukRCrl0PKswmqf+DtRDE+Rw6v+m4nfoCevSoq9mrIIJj8mr4Zpm1os4PKLw8MSi/O\ndCo5Sc/sddEdgymq/9TyoOr1OI9mib4vB+iJJYO3vkAzqn31zbML7RxtG10Tzqdr+aeabbrv\n1F5b/MPhyYs/PlRlRNeeY7D6CPikYK1P4EQ14Xppc6n2TljrN4sWQAACEIAABFqHgJyo0XKA\n/JxEtrHKbkr7j9K8LGpIsoVyrD5QeLXSD9D+A9oPB+VxHsVn9Aa3/91y5ntbr+3a5ea9L5jY\na1ji5QHON1GD2/OC8tMrunY+U7u9y1etvE/PDZ0TL+VzHg08j9dA94aMVonpVcsa6K71c0HX\naOA6welva3w6JCh7UY0fsX5QHS5Fe+d9LWnzQFZl7K4XNEzVaFrOS+wwZPya9CV6zmaEpqCW\na4nYWRqfX6z0Upe73jKr5OwN8uBcMw52yjQ7U1TaXT7THZp4OSz0iTIrFweVW3qWTXmeU55R\nylOSKEN+RPia9MGK05sCymdqID5UcfKZYvMLBIqe1rK3cQJetl1QNlcpmnmJ2+t87lfRLer7\ndz6peZObnJsi+VRJC53M87VU75eesdJM37vKk3JsMtXifIQ4/z3KM0MlaJYpbk/4EoI1Wlq4\nnaZy5ijP1tEzXPbfon6FjGc8HVTucYCWFkZ5XlY53ZQnYujlakU3qL0nu4V+fq08KNdzXpmB\nUR71OSPHpuhLastk53Hftw3KbtS5+bq9H1+U1UHmoRVyuHsHgbpdY35Gq7q8/MKq8vLdy1eu\neLLTuiotGVz77zjdW18ba8aMO3vx0CHn7PfHP43xrFEyPd7P1YdiR470i/v0tePp03XZ5c18\nLiuk/aRn81ZLgQr2+cVan8CJagIOUuufB1oAAQhAAAJtiICeiRojJ+i/0k2WE+QPt2r5WjBV\n2kfhHZN5lLbCeRTXV/sfaN/L+mqdAgWr9YrsU7QdKZ2gfY21N7Cqb0+Y0PWd0WOvqezSZfjO\nj/7zWA10wxmJOKemQnp0C0ovqOi6+bccV75qxc3Lg6rze9Z84DfMpgH1EXrpwc0acmucbcu8\nWR0EX9bdf43Ja7/bdJ92P+cZB73WuTp08fSCA+VxvL8gOrgkKFdfMz1+G6wr+2rQaV0/Fahy\njlOe25xHsw1+oYEG6uEzUR7MVim/vJ/qw7oEax9zHj23sq8cwkeVx2ycp1J5lstR2E+Ogp0V\nvYYufMva/XrjXif5LXrN9Do/GzNztV7AoLVl4TNjquvLqut2OY/yQ/Rq6ep1ektg0VNvBxWH\n7VSztM7t8Vvh/qQ8pSqrqFiukexCOVATvWNTe0brJdb+ls/WDqueD4uCdV+Tw/G0wzaVs7Oc\nlmu0O1rlmM2dWvL2g+56AUWYQX/MRzN+P1/Vo8exWnY5r3zFJ5foXF2nJPs6oc3XizJ6BeXf\nfmefvS/fYu78u3t/8OFP4z7HebyducuoXaZ/dv9X+8yYdcS+D953fzIt3o8+FPuKrpteDXwo\ndry6ncvXpB90xRVX9CovL98sbke8femll25VXRl9G+u4OC7eVlRUrDz99NNrn/WL45uxxUFq\nBjQOaZgADlLDfEiFAAQgAAEINIuAnKhd5PzslT5YA0a/cGKE4r0U63SFd07n2VhYx2s5VWAn\naoD2PYuzmbYeKIam+NX6ltC1eibrIkfow7xn16Ss/6s8n4ycMOGjj8886996Tfq0L155+YT1\nqev35EgdNv3AcbduvnTpY4NenHKGZlC8BK3WlsvZ08sRTpm/ww7nbL5k6aPdFs4/P+2weTYl\nKO9+5vwRw0/pMXfe7ZstXXqBHKg3awvRjvOs7jfwvAXDhn13yGuvX7hu1cdXydn4KJnHDsfi\nbXa8YMmgAcfs8ORTJ+n7T7dtWzN7UJttTRAMn73bqMtX9ey5//ZPPHVC5MzVOiTO6Da/dcjh\nN1R16bzdHvdOPlIOSTjTUVtIzU7RPWf96G7vHnXZpV/Spk4ZNVn0kaBJkx6Vg/TsSSef/NM4\nLr0t1Idikw6Srge/Jn9Aui2lpaWfUfxVuiZ21/54zWrKd6wxXRPu48fSbpKvXV9n7nsfKbQo\nzzIFtlA5Xoa4QBqsePmdTbKP9WyhfPYWGw5SixFSQJoADlKaCGEIQAACEIBAgQjoxRLd9WHU\n2sFnqlovf1+hD6yep+2wOE2DUg9i5QcEfTQotWP0vrYHK1wa52nkdq2OfU3HbqP8KyUPdHsp\nLrnKx89l3SKdL3m2599K76vnuLRba28rbqpCr2iwfYrSnqyqqtKkznqTs7ZAHwQuUfq7Gpjv\nr9mD6XLetPRsvWmw/rGOG6ntM2vWrBmidn2sDwV7Rik0lZERixWq61Cl/VmRWuVX1+bNm5fR\nx3DXNnWJmGZAunSW1S1Nc1rFxZMcp3ZPUL1bKVybR22osJT2B21fkq5UnpFSbZu1v1zxn+i4\nO5Xvdu0/KO2j/STAxYrTpF/wR+W/XNsFCu8v1Z4HxTtO/mFwhvZv0LafwnWcb8X7VffVSttV\n8tK5wc4nNclUzhSVU6ntljrQjmNvhWv7rXg1P+yzoou6KeyZ0G7JPEpfrfgHNJMVOu06b5oR\nrGu6DpZHzw3WTWh6CAep6cw4YiMEcJA2AohkCEAAAhCAwKZOQLNVdkg0uVPXNAgNB+sasK6T\nQ3KsBq16ZqbWPMOwRgPbYdp6IO/B9TclPZdUa1Xac1p/5VmmrQftQ2pTN80dO49euliq5nrf\nsxxJh0QL/MJvaDnOch+dp9Yh0X4hzc6IGWvCLHRU3Y7keXJb5irPTOWxA/aWwp2176WRyTZP\n0XmervjdpWlK66Rw7TUhJ82OtZfmfSDHpYucFjtcdWz16tXVp512mh3ltmQ4SG3pbLWRtuIg\ntZETRTMhAAEIQAACmwKBSZMmbaWBdx2Hw+0699xzL9xzzz2vPfrooxdqgD5cA/Lawbv2vWzL\njohnyz7S8V000K/jaClutgbtdti2VJoH6T21DZ8B0n5s7yl9rdRfg/y5KtezJAPjRG3t5L0t\neTbNsyxeDjhU5diZCM3Ha+cVyc6DtVDqpzzJZ2g8A/JilK5NsEp19VAbwxkRR2h/uTRHu+XK\nW6Vy9a3cEvmheqt4ZIp3Hq3oq98067VGs15ud3u0r0aduiOPnWtXDlIeOVF0EwjYQfIdheSP\nQhMOJysEIAABCEAAAhAICXiZ3nhYQCBB4P+0b+XT7CB5LKsXfbR9q12f2fa7Qg8gAAEIQAAC\nEIBAhyfg50w8S4RBICawwbNHcQLb7ARwkLJzIRYCEIAABCAAAQi0RQKj1Oj32mLDaXPeCJyd\nt5LbacE4SO30xNItCEAAAhCAAAQ6JIF3O2Sv6XRDBJY0lEjahgRqH2DbMIkYCEAAAhCAAAQg\nAAEIQAACHYsADlLHOt/0FgIQgAAEIAABCEAAAhBogAAOUgNwSIIABCAAAQhAAAJtjMAstXef\nNtZmmptfAv+r4i2skQR4BqmRoMgGAQhAAAIQgAAE2gCBfmpjrzbQTppYOAL+7hXWBAI4SE2A\nRVYIQAACEIAABCCwiROYqvbN3sTbSPMKS+CNwlZHbRDIDQE+FJsbjpQCAQhAAAIQgAAEIFB4\nAu3qQ7E8g1T4C4gaIQABCEAAAhCAAAQgAIFNlAAO0iZ6YmgWBCAAAQhAAAIQgAAEIFB4AjhI\nhWdOjRCAAAQgAAEIQCBfBMaq4M75Kpxy2ySBbdRqC2skARykRoIiGwQgAAEIQAACEGgDBCar\njePaQDtpYuEInKeqLKyRBHiLXSNBkQ0CEIAABCAAAQi0AQK++c0N8DZwogrYxKIC1tUuqsJB\nahenkU5AAAIQgAAEIACBkMA5+utXfWMQiAncqp1MHGC7cQId0UHqKSxbSOXSCuljaaWEQQAC\nEIAABCAAgbZO4Kq23gHan3MCj+W8xHZeYEeZgt1D5/FGaaG0RJolvSn5Q2p2kmZK10l9JQwC\nEIAABCAAAQhAAAIQ6KAEOsIM0vk6tz+Pzu8H2j4r2UmyY+SZpF7SYOk70n9Jp0h/kjAIQAAC\nEIAABCAAAQhAAALtisDR6o3XXD4o7dlAz/zw2mckr9l1/v2kQtqJqsz1blbISqkLAhCAAAQg\nAIF2R+AK9WhIu+sVHWoJga/qYCufVqbCPZbdN5+VFKrs9v5Wi9sEch9ppFTRCKh+Pul9yTNI\nJzUif31Zhivhdam0vgxZ4j2btzZLPFEQgAAEIAABCECgsQQ6KWO15MEqBgETiB+p8XWRT/NY\n1pMMX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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(result_lasso,xvar=\"lambda\",label=TRUE,lwd=3)\n", + "abline(h=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.710534131233623" + ], + "text/latex": [ + "0.710534131233623" + ], + "text/markdown": [ + "0.710534131233623" + ], + "text/plain": [ + "[1] 0.7105341" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "log(result_lasso$lambda.1se)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "result_lasso2 = cv.glmnet(taxa, y, family='gaussian', alpha=1, nfolds=10, lambda=exp(seq(-4, 5, 0.5)))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in plot.window(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in plot.window(...):\n", + "“\"label\" is not a graphical parameter”Warning message in plot.xy(xy, type, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in plot.xy(xy, type, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in axis(side = side, at = at, labels = labels, ...):\n", + "“\"label\" is not a graphical parameter”Warning message in box(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in box(...):\n", + "“\"label\" is not a graphical parameter”Warning message in title(...):\n", + "“\"xvar\" is not a graphical parameter”Warning message in title(...):\n", + "“\"label\" is not a graphical parameter”" + ] + }, + { + "data": { + "image/png": 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SlfmUsIPDrL6geR7UlNkkZb/aBfZ5Xq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\ngAZSSW4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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot(result_lasso2,xvar=\"lambda\",label=TRUE,lwd=3)\n", + "abline(h=0)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "5" + ], + "text/latex": [ + "5" + ], + "text/markdown": [ + "5" + ], + "text/plain": [ + "[1] 5" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "log(result_lasso2$lambda.1se)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "## random forest\n", + "library(ranger)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Ranger result\n", + "\n", + "Call:\n", + " ranger(y ~ ., data = data) \n", + "\n", + "Type: Regression \n", + "Number of trees: 500 \n", + "Sample size: 98 \n", + "Number of independent variables: 87 \n", + "Mtry: 9 \n", + "Target node size: 5 \n", + "Variable importance mode: none \n", + "Splitrule: variance \n", + "OOB prediction error (MSE): 27.88997 \n", + "R squared (OOB): 0.05204112 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = as.data.frame(cbind(y, taxa)) \n", + "rf.fit = ranger(y ~ ., data=data)\n", + "rf.fit # current mtry grid seq(5, 25, 5) is good" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/1.2. BMI_results.ipynb b/data_application/notebooks_application/1.2. BMI_results.ipynb new file mode 100644 index 0000000..f9b0ee1 --- /dev/null +++ b/data_application/notebooks_application/1.2. BMI_results.ipynb @@ -0,0 +1,341 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# original size: 98/87=1.13; probably better to use original size to keep consistent " + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "# example: p/n approx 1; simialr to block Corr 0.1 situation (highly unstable)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/BMI_compLasso.RData')\n", + "load('../data_application/BMI/BMI_elnet.RData')\n", + "load('../data_application/BMI/BMI_lasso.RData')\n", + "load('../data_application/BMI/BMI_rf.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 0.04\n", + "\\item 5.48\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 0.04\n", + "2. 5.48\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 0.04 5.48" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c(out_rf$stab_index, out_rf$MSE_mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "# conclusion: based on stability -- compLasso the best: compLasso > Elnet > Lasso > RF\n", + "# based on MSE -- random forest with altman the best: RF > compLasso > Elnet > Lasso " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### add selection probability for each feature selection methods" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/BMI_Lin_2014.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "prob_compLasso = colSums(out_compLasso$stab_table)/dim(out_compLasso$stab_table)[1]\n", + "prob_lasso = colSums(out_lasso$stab_table)/dim(out_lasso$stab_table)[1]\n", + "prob_elnet = colSums(out_elnet$stab_table)/dim(out_elnet$stab_table)[1]\n", + "prob_rf= colSums(out_rf$stab_table)/dim(out_rf$stab_table)[1]\n", + "feature_prob = t(data.frame(rbind(prob_compLasso, prob_lasso, prob_elnet, prob_rf)))" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    prob_compLassoprob_lassoprob_elnetprob_rf
    Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium0.810.520.960.24
    Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus0.780.530.930.36
    Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella0.770.540.910.39
    Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes0.570.300.870.16
    Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter0.540.210.640.13
    Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera0.460.310.790.08
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " & prob\\_compLasso & prob\\_lasso & prob\\_elnet & prob\\_rf\\\\\n", + "\\hline\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium & 0.81 & 0.52 & 0.96 & 0.24\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus & 0.78 & 0.53 & 0.93 & 0.36\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella & 0.77 & 0.54 & 0.91 & 0.39\\\\\n", + "\tBacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes & 0.57 & 0.30 & 0.87 & 0.16\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter & 0.54 & 0.21 & 0.64 & 0.13\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera & 0.46 & 0.31 & 0.79 & 0.08\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | prob_compLasso | prob_lasso | prob_elnet | prob_rf |\n", + "|---|---|---|---|---|\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium | 0.81 | 0.52 | 0.96 | 0.24 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus | 0.78 | 0.53 | 0.93 | 0.36 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella | 0.77 | 0.54 | 0.91 | 0.39 |\n", + "| Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes | 0.57 | 0.30 | 0.87 | 0.16 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter | 0.54 | 0.21 | 0.64 | 0.13 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera | 0.46 | 0.31 | 0.79 | 0.08 |\n", + "\n" + ], + "text/plain": [ + " prob_compLasso\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.81 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.78 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.77 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.57 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.54 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera 0.46 \n", + " prob_lasso\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.52 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.53 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.54 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.30 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.21 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera 0.31 \n", + " prob_elnet\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.96 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.93 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.91 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.87 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.64 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera 0.79 \n", + " prob_rf\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.24 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.36 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.39 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.16 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.13 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Megasphaera 0.08 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rownames(feature_prob) = colnames(taxa)\n", + "head(feature_prob[order(-feature_prob[, 1]), ]) # descending order" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "write.table(feature_prob, file='../data_application/bmi/bmi_slection_prob.txt', sep='\\t', col.names=NA)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# summary: similar top chosen taxa from compLasso as with Lin's paper, though we have lower selection prob\n", + "# good news: top taxa all have high selection probability acrss methods" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/1.2.2 BMI_results_filtered1%.ipynb b/data_application/notebooks_application/1.2.2 BMI_results_filtered1%.ipynb new file mode 100644 index 0000000..64844ea --- /dev/null +++ b/data_application/notebooks_application/1.2.2 BMI_results_filtered1%.ipynb @@ -0,0 +1,441 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/filter_onepercent/BMI_compLasso.RData')\n", + "load('../data_application/BMI/filter_onepercent/BMI_elnet.RData')\n", + "load('../data_application/BMI/filter_onepercent/BMI_lasso.RData')\n", + "load('../data_application/BMI/filter_onepercent/BMI_rf.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datasetmethodmsestability
    bmi_gut lasso 24.07 0.14
    bmi_gut elent 25.33 0.23
    bmi_gut rf 4.99 0.02
    bmi_gut compLasso21.59 0.22
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " dataset & method & mse & stability\\\\\n", + "\\hline\n", + "\t bmi\\_gut & lasso & 24.07 & 0.14 \\\\\n", + "\t bmi\\_gut & elent & 25.33 & 0.23 \\\\\n", + "\t bmi\\_gut & rf & 4.99 & 0.02 \\\\\n", + "\t bmi\\_gut & compLasso & 21.59 & 0.22 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| dataset | method | mse | stability |\n", + "|---|---|---|---|\n", + "| bmi_gut | lasso | 24.07 | 0.14 |\n", + "| bmi_gut | elent | 25.33 | 0.23 |\n", + "| bmi_gut | rf | 4.99 | 0.02 |\n", + "| bmi_gut | compLasso | 21.59 | 0.22 |\n", + "\n" + ], + "text/plain": [ + " dataset method mse stability\n", + "1 bmi_gut lasso 24.07 0.14 \n", + "2 bmi_gut elent 25.33 0.23 \n", + "3 bmi_gut rf 4.99 0.02 \n", + "4 bmi_gut compLasso 21.59 0.22 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# combine and export results\n", + "bmi_gut = as.data.frame(matrix(NA, nrow=4, ncol=4))\n", + "colnames(bmi_gut) = c('dataset', 'method', 'mse', 'stability')\n", + "bmi_gut$dataset = 'bmi_gut'\n", + "bmi_gut$method = c('lasso', 'elent', 'rf', 'compLasso')\n", + "bmi_gut$mse = c(out_lasso$MSE_mean, out_elnet$MSE_mean, out_rf$MSE_mean, out_compLasso$MSE_mean)\n", + "bmi_gut$stability = c(out_lasso$stab_index, out_elnet$stab_index, out_rf$stab_index, out_compLasso$stab_index)\n", + "bmi_gut\n", + "#write.table(bmi_gut, file='../data_application/BMI/filter_onepercent/table_bmi_gut.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### add selection probability for each feature selection methods" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/filter_onepercent/BMI_Lin_2014.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    prob_compLassoprob_lassoprob_elnetprob_rf
    Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium0.810.430.970.18
    Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus0.810.550.940.35
    Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella0.670.450.850.25
    Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter0.490.200.800.13
    Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes0.480.190.900.14
    Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea0.440.250.740.11
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " & prob\\_compLasso & prob\\_lasso & prob\\_elnet & prob\\_rf\\\\\n", + "\\hline\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium & 0.81 & 0.43 & 0.97 & 0.18\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus & 0.81 & 0.55 & 0.94 & 0.35\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella & 0.67 & 0.45 & 0.85 & 0.25\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter & 0.49 & 0.20 & 0.80 & 0.13\\\\\n", + "\tBacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes & 0.48 & 0.19 & 0.90 & 0.14\\\\\n", + "\tBacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea & 0.44 & 0.25 & 0.74 & 0.11\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | prob_compLasso | prob_lasso | prob_elnet | prob_rf |\n", + "|---|---|---|---|---|\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium | 0.81 | 0.43 | 0.97 | 0.18 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus | 0.81 | 0.55 | 0.94 | 0.35 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella | 0.67 | 0.45 | 0.85 | 0.25 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter | 0.49 | 0.20 | 0.80 | 0.13 |\n", + "| Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes | 0.48 | 0.19 | 0.90 | 0.14 |\n", + "| Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea | 0.44 | 0.25 | 0.74 | 0.11 |\n", + "\n" + ], + "text/plain": [ + " prob_compLasso\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.81 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.81 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.67 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.49 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.48 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea 0.44 \n", + " prob_lasso\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.43 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.55 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.45 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.20 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.19 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea 0.25 \n", + " prob_elnet\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.97 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.94 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.85 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.80 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.90 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea 0.74 \n", + " prob_rf\n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Clostridiaceae.Clostridium 0.18 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Acidaminococcus 0.35 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Veillonellaceae.Allisonella 0.25 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Ruminococcaceae.Oscillibacter 0.13 \n", + "Bacteria.Bacteroidetes.Bacteroidia.Bacteroidales.Rikenellaceae.Alistipes 0.14 \n", + "Bacteria.Firmicutes.Clostridia.Clostridiales.Lachnospiraceae.Dorea 0.11 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rownames(feature_prob) = colnames(taxa)\n", + "head(feature_prob[order(-feature_prob[, 1]), ]) # descending order" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "write.table(feature_prob, file='../data_application/bmi/filter_onepercent/bmi_slection_prob.txt', sep='\\t', col.names=NA)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# two highest from compLasso (both 0.81): Clostridium & Acidaminococcus (confirmed by Lin + Muller's paper)\n", + "# these two are also highest with Elnet (0.97, 0.94); \n", + "# note that 3rd highest in Elnet (Megamonas:0.92) were not found with previous studies" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# order of genus in Lin's paper (highest to lowest on Stab.sel)\n", + "# Clostridium > Acidaminococcus > Alistipes > Allisonella" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# two most important from Muller's paper\n", + "# stongest negative: cloristidum\n", + "# strongest postitive: Acidaminococcus" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/1.3 BMI_testing.ipynb b/data_application/notebooks_application/1.3 BMI_testing.ipynb new file mode 100644 index 0000000..2d405fa --- /dev/null +++ b/data_application/notebooks_application/1.3 BMI_testing.ipynb @@ -0,0 +1,61638 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/BMI/boot/BMI_boot_compLasso.RData')\n", + "load('../data_application/BMI/boot/BMI_boot_rf.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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      \n", + "
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Default: FALSE\n", + " astype : type\n", + " datatype into each value of the biom table is casted. Default: int.\n", + " Use e.g. float if biom table contains relative abundances instead of\n", + " raw reads.\n", + " Returns\n", + " -------\n", + " A Pandas.DataFrame holding holding numerical values from the biom file.\n", + " If withTaxonomy is TRUE then a second Pandas.DataFrame is returned, holding\n", + " lineage information about each feature.\n", + " Raises\n", + " ------\n", + " IOError\n", + " If file_biom cannot be read.\n", + " ValueError\n", + " If withTaxonomy=TRUE but biom file does not hold taxonomy information.\n", + " \"\"\"\n", + " try:\n", + " table = biom.load_table(file_biom)\n", + " counts = pd.DataFrame(table.matrix_data.T.todense().astype(astype),\n", + " index=table.ids(axis='sample'),\n", + " columns=table.ids(axis='observation')).T\n", + " if withTaxonomy:\n", + " try:\n", + " md = table.metadata_to_dataframe('observation')\n", + " levels = [col\n", + " for col in md.columns\n", + " if col.startswith('taxonomy_')]\n", + " if levels == []:\n", + " raise ValueError(('No taxonomy information found in '\n", + " 'biom file.'))\n", + " else:\n", + " taxonomy = md.apply(lambda row:\n", + " \";\".join([row[l] for l in levels]),\n", + " axis=1)\n", + " return counts, taxonomy\n", + " except KeyError:\n", + " raise ValueError(('Biom file does not have any '\n", + " 'observation metadata!'))\n", + " else:\n", + " return counts\n", + " except IOError:\n", + " raise IOError('Cannot read file \"%s\"' % file_biom)\n", + "\n", + "\n", + "def pandas2biom(file_biom, table, taxonomy=None, err=sys.stderr):\n", + " \"\"\" Writes a Pandas.DataFrame into a biom file.\n", + " Parameters\n", + " ----------\n", + " file_biom: str\n", + " The filename of the BIOM file to be created.\n", + " table: a Pandas.DataFrame\n", + " The table that should be written as BIOM.\n", + " taxonomy : pandas.Series\n", + " Index is taxons corresponding to table, values are lineage strings like\n", + " 'k__Bacteria; p__Actinobacteria'\n", + " err : StringIO\n", + " Stream onto which errors / warnings should be printed.\n", + " Default is sys.stderr\n", + " Raises\n", + " ------\n", + " IOError\n", + " If file_biom cannot be written.\n", + " TODO\n", + " ----\n", + " 1) also store taxonomy information\n", + " \"\"\"\n", + " try:\n", + " bt = biom.Table(table.values,\n", + " observation_ids=table.index,\n", + " sample_ids=table.columns)\n", + "\n", + " # add taxonomy metadata if provided, i.e. is not None\n", + " if taxonomy is not None:\n", + " if not isinstance(taxonomy, pd.core.series.Series):\n", + " raise AttributeError('taxonomy must be a pandas.Series!')\n", + " idx_missing_intable = set(table.index) - set(taxonomy.index)\n", + " if len(idx_missing_intable) > 0:\n", + " err.write(('Warning: following %i taxa are not in the '\n", + " 'provided taxonomy:\\n%s\\n') % (\n", + " len(idx_missing_intable),\n", + " \", \".join(idx_missing_intable)))\n", + " missing = pd.Series(\n", + " index=idx_missing_intable,\n", + " name='taxonomy',\n", + " data='k__missing_lineage_information')\n", + " taxonomy = taxonomy.append(missing)\n", + " idx_missing_intaxonomy = set(taxonomy.index) - set(table.index)\n", + " if (len(idx_missing_intaxonomy) > 0) and err:\n", + " err.write(('Warning: following %i taxa are not in the '\n", + " 'provided count table, but in taxonomy:\\n%s\\n') % (\n", + " len(idx_missing_intaxonomy),\n", + " \", \".join(idx_missing_intaxonomy)))\n", + "\n", + " t = dict()\n", + " for taxon, linstr in taxonomy.iteritems():\n", + " # fill missing rank annotations with rank__\n", + " orig_lineage = {annot[0].lower(): annot\n", + " for annot\n", + " in (map(str.strip, linstr.split(';')))}\n", + " lineage = []\n", + " for rank in settings.RANKS:\n", + " rank_char = rank[0].lower()\n", + " if rank_char in orig_lineage:\n", + " lineage.append(orig_lineage[rank_char])\n", + " else:\n", + " lineage.append(rank_char+'__')\n", + " t[taxon] = {'taxonomy': \";\".join(lineage)}\n", + " bt.add_metadata(t, axis='observation')\n", + "\n", + " with biom_open(file_biom, 'w') as f:\n", + " bt.to_hdf5(f, \"example\")\n", + " except IOError:\n", + " raise IOError('Cannot write to file \"%s\"' % file_biom)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Balance_88soils" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(7396, 89)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_biom = biom2pandas('../data_application/88soils/238_otu_table.biom')\n", + "soils_biom.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    Taxon
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    0123456
    Feature ID
    1000512k__Bacteriap__Actinobacteriac__Thermoleophiliao__Gaiellalesf__Gaiellaceaeg__s__
    1000547k__Bacteriap__Firmicutesc__Bacillio__Lactobacillalesf__Streptococcaceaeg__Streptococcuss__
    1000654k__Bacteriap__Bacteroidetesc__Sphingobacteriiao__Sphingobacterialesf__Sphingobacteriaceaeg__s__
    1000757k__Bacteriap__Proteobacteriac__Alphaproteobacteriao__Rhizobialesf__Bradyrhizobiaceaeg__s__
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    " + ], + "text/plain": [ + " 0 1 2 \\\n", + "Feature ID \n", + "1000512 k__Bacteria p__Actinobacteria c__Thermoleophilia \n", + "1000547 k__Bacteria p__Firmicutes c__Bacilli \n", + "1000654 k__Bacteria p__Bacteroidetes c__Sphingobacteriia \n", + "1000757 k__Bacteria p__Proteobacteria c__Alphaproteobacteria \n", + "1000876 k__Bacteria p__Actinobacteria c__Actinobacteria \n", + "\n", + " 3 4 5 \\\n", + "Feature ID \n", + "1000512 o__Gaiellales f__Gaiellaceae g__ \n", + "1000547 o__Lactobacillales f__Streptococcaceae g__Streptococcus \n", + "1000654 o__Sphingobacteriales f__Sphingobacteriaceae g__ \n", + "1000757 o__Rhizobiales f__Bradyrhizobiaceae g__ \n", + "1000876 o__Actinomycetales f__Nocardioidaceae g__Nocardioides \n", + "\n", + " 6 \n", + "Feature ID \n", + "1000512 s__ \n", + "1000547 s__ \n", + "1000654 s__ \n", + "1000757 s__ \n", + "1000876 s__ " + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "taxa_new = soils_taxa.Taxon.str.split(pat=\";\", expand=True)\n", + "taxa_new.head(5)\n", + "# ref: https://www.geeksforgeeks.org/python-pandas-split-strings-into-two-list-columns-using-str-split/" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    TaxonGenus
    Feature ID
    1000512k__Bacteria;p__Actinobacteria;c__Thermoleophil...g__
    1000547k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactob...g__Streptococcus
    1000654k__Bacteria;p__Bacteroidetes;c__Sphingobacteri...g__
    1000757k__Bacteria;p__Proteobacteria;c__Alphaproteoba...g__
    1000876k__Bacteria;p__Actinobacteria;c__Actinobacteri...g__Nocardioides
    \n", + "
    " + ], + "text/plain": [ + " Taxon \\\n", + "Feature ID \n", + "1000512 k__Bacteria;p__Actinobacteria;c__Thermoleophil... \n", + "1000547 k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactob... \n", + "1000654 k__Bacteria;p__Bacteroidetes;c__Sphingobacteri... \n", + "1000757 k__Bacteria;p__Proteobacteria;c__Alphaproteoba... \n", + "1000876 k__Bacteria;p__Actinobacteria;c__Actinobacteri... \n", + "\n", + " Genus \n", + "Feature ID \n", + "1000512 g__ \n", + "1000547 g__Streptococcus \n", + "1000654 g__ \n", + "1000757 g__ \n", + "1000876 g__Nocardioides " + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_taxa['Genus'] = taxa_new[5]\n", + "soils_taxa.head(5)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "g__ 5213\n", + "g__Rhodoplanes 144\n", + "g__Bacillus 110\n", + "g__Candidatus Solibacter 100\n", + "g__Flavobacterium 71\n", + " ... \n", + "g__Rhodocyclus 1\n", + "g__Marinobacter 1\n", + "g__Afipia 1\n", + "g__Candidatus Amoebophilus 1\n", + "g__Desulfotomaculum 1\n", + "Name: Genus, Length: 335, dtype: int64" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_taxa.Genus.value_counts()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(2183, 2)" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# only keep those with genus assignment\n", + "soils_taxa_sub = soils_taxa[soils_taxa.Genus != 'g__']\n", + "soils_taxa_sub.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    TaxonGenus
    Feature ID
    1000547k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactob...g__Streptococcus
    1000876k__Bacteria;p__Actinobacteria;c__Actinobacteri...g__Nocardioides
    1003206k__Bacteria;p__Proteobacteria;c__Alphaproteoba...g__Sphingomonas
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    " + ], + "text/plain": [ + " Taxon \\\n", + "Feature ID \n", + "1000547 k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactob... \n", + "1000876 k__Bacteria;p__Actinobacteria;c__Actinobacteri... \n", + "1003206 k__Bacteria;p__Proteobacteria;c__Alphaproteoba... \n", + "\n", + " Genus \n", + "Feature ID \n", + "1000547 g__Streptococcus \n", + "1000876 g__Nocardioides \n", + "1003206 g__Sphingomonas " + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_taxa_sub.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(2183, 91)" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# partition biom table \n", + "soils_biom.index = soils_biom.index.astype('int64') \n", + "soils_biom_sub = soils_biom.merge(soils_taxa_sub, how='inner', left_index=True, right_index=True)\n", + "soils_biom_sub.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    103.CA2103.CO3103.SR3103.IE2103.BP1103.VC2103.SA2103.GB2103.CO2103.KP1...103.RT1103.HI2103.DF1103.CF3103.AR1103.TL1103.HI4103.BB1TaxonGenus
    2443360001000000...00000000k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacill...g__Paenibacillus
    8094890000000100...00000000k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacill...g__Bacillus
    5336250000000000...00000000k__Bacteria;p__Proteobacteria;c__Alphaproteoba...g__Novosphingobium
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    3 rows × 91 columns

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    " + ], + "text/plain": [ + " 103.CA2 103.CO3 103.SR3 103.IE2 103.BP1 103.VC2 103.SA2 \\\n", + "244336 0 0 0 1 0 0 0 \n", + "809489 0 0 0 0 0 0 0 \n", + "533625 0 0 0 0 0 0 0 \n", + "\n", + " 103.GB2 103.CO2 103.KP1 ... 103.RT1 103.HI2 103.DF1 103.CF3 \\\n", + "244336 0 0 0 ... 0 0 0 0 \n", + "809489 1 0 0 ... 0 0 0 0 \n", + "533625 0 0 0 ... 0 0 0 0 \n", + "\n", + " 103.AR1 103.TL1 103.HI4 103.BB1 \\\n", + "244336 0 0 0 0 \n", + "809489 0 0 0 0 \n", + "533625 0 0 0 0 \n", + "\n", + " Taxon Genus \n", + "244336 k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacill... g__Paenibacillus \n", + "809489 k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacill... g__Bacillus \n", + "533625 k__Bacteria;p__Proteobacteria;c__Alphaproteoba... g__Novosphingobium \n", + "\n", + "[3 rows x 91 columns]" + ] + }, + "execution_count": 40, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_biom_sub.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": {}, + "outputs": [], + "source": [ + "soils_biom_sub.set_index('Taxon', inplace=True)\n", + "soils_biom_sub.drop(['Genus'], axis=1, inplace=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(2183, 89)" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_biom_sub.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    Taxon
    k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Paenibacillaceae;g__Paenibacillus;s__0001000000...0000000000
    k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Bacillaceae;g__Bacillus;s__muralis0000000100...0000000000
    k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Sphingomonadaceae;g__Novosphingobium;s__0000000000...0000000000
    \n", + "

    3 rows × 89 columns

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    " + ], + "text/plain": [ + " 103.CA2 103.CO3 103.SR3 \\\n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + " 103.IE2 103.BP1 103.VC2 \\\n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 1 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + " 103.SA2 103.GB2 103.CO2 \\\n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 1 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + " 103.KP1 ... 103.LQ1 \\\n", + "Taxon ... \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 ... 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 ... 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 ... 0 \n", + "\n", + " 103.HI1 103.RT1 103.HI2 \\\n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + " 103.DF1 103.CF3 103.AR1 \\\n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + " 103.TL1 103.HI4 103.BB1 \n", + "Taxon \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacilla... 0 0 0 \n", + "k__Bacteria;p__Proteobacteria;c__Alphaproteobac... 0 0 0 \n", + "\n", + "[3 rows x 89 columns]" + ] + }, + "execution_count": 43, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_biom_sub.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(89, 2183)" + ] + }, + "execution_count": 44, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# transpose the dataframe \n", + "soils_biom_sub_t = soils_biom_sub.T\n", + "soils_biom_sub_t.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    103.CA20000000000...0000000000
    103.CO30000000000...0000000001
    103.SR30000000000...0100000011
    \n", + "

    3 rows × 2183 columns

    \n", + "
    " + ], + "text/plain": [ + "Taxon k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Paenibacillaceae;g__Paenibacillus;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Bacillaceae;g__Bacillus;s__muralis \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Sphingomonadales;f__Sphingomonadaceae;g__Novosphingobium;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Acidobacteria;c__Solibacteres;o__Solibacterales;f__Solibacteraceae;g__Candidatus Solibacter;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Hyphomicrobiaceae;g__Rhodoplanes;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Nocardioidaceae;g__Nocardioides;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Bacteroidetes;c__Flavobacteriia;o__Flavobacteriales;f__Flavobacteriaceae;g__Flavobacterium;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Firmicutes;c__Clostridia;o__Clostridiales;f__Peptococcaceae;g__Desulfotomaculum;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Acidobacteria;c__Acidobacteriia;o__Acidobacteriales;f__Koribacteraceae;g__Candidatus Koribacter;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Burkholderiales;f__Comamonadaceae;g__Methylibium;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon ... \\\n", + "103.CA2 ... \n", + "103.CO3 ... \n", + "103.SR3 ... \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Burkholderiales;f__Comamonadaceae;g__Rhodoferax;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Xanthomonadales;f__Xanthomonadaceae;g__Dokdonella;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 1 \n", + "\n", + "Taxon k__Bacteria;p__Firmicutes;c__Bacilli;o__Lactobacillales;f__Streptococcaceae;g__Streptococcus;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Methylophilales;f__Methylophilaceae;g__Methylotenera;s__mobilis \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Streptomycetaceae;g__Streptomyces;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Gammaproteobacteria;o__Xanthomonadales;f__Xanthomonadaceae;g__Luteimonas;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Alphaproteobacteria;o__Rhizobiales;f__Hyphomicrobiaceae;g__Rhodoplanes;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Firmicutes;c__Bacilli;o__Bacillales;f__Planococcaceae;g__Solibacillus;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "\n", + "Taxon k__Bacteria;p__Proteobacteria;c__Betaproteobacteria;o__Burkholderiales;f__Comamonadaceae;g__Ramlibacter;s__ \\\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 1 \n", + "\n", + "Taxon k__Bacteria;p__Actinobacteria;c__Actinobacteria;o__Actinomycetales;f__Mycobacteriaceae;g__Mycobacterium;s__ \n", + "103.CA2 0 \n", + "103.CO3 1 \n", + "103.SR3 1 \n", + "\n", + "[3 rows x 2183 columns]" + ] + }, + "execution_count": 45, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "soils_biom_sub_t.head(3)" + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "count 89.000000\n", + "mean 275.932584\n", + "std 115.508244\n", + "min 1.000000\n", + "25% 213.000000\n", + "50% 254.000000\n", + "75% 319.000000\n", + "max 805.000000\n", + "dtype: float64" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# make sure that each genus exist in at least one sample\n", + "soils_biom_sub_t.sum(axis=1).describe() # column sum" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "# export\n", + "soils_biom_sub_t.to_csv('../data_application/88soils/88soils_genus_table.txt', sep='\\t')" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "count 2183.000000\n", + "mean 11.249656\n", + "std 33.869668\n", + "min 1.000000\n", + "25% 1.000000\n", + "50% 3.000000\n", + "75% 8.000000\n", + "max 690.000000\n", + "dtype: float64" + ] + }, + "execution_count": 48, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# check that not rarefied\n", + "soils_biom_sub_t.sum(axis=0).describe() # row sum" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.6" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/data_application/notebooks_application/4.1. 88soils_DataPreparation_ParameterGrid.ipynb b/data_application/notebooks_application/4.1. 88soils_DataPreparation_ParameterGrid.ipynb new file mode 100644 index 0000000..7d28c4b --- /dev/null +++ b/data_application/notebooks_application/4.1. 88soils_DataPreparation_ParameterGrid.ipynb @@ -0,0 +1,1121 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/88soils_genus_table.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 89\n", + "\\item 2183\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 89\n", + "2. 2183\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 89 2183" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "count = soil_otu\n", + "dim(count)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
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    103.CA20 0 0 0 0 0 0 0 0 0 ...0 0 0 0 0 0 0 0 0 0
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    103.IE21 0 0 0 0 0 0 0 0 0 ...0 0 0 0 0 0 2 0 0 1
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    103.VC20 0 0 0 0 0 0 0 0 2 ...0 0 0 0 0 0 0 0 0 1
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n", 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k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Clostridia.o\\_\\_Clostridiales.f\\_\\_Peptococcaceae.g\\_\\_Desulfotomaculum.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Acidobacteriia.o\\_\\_Acidobacteriales.f\\_\\_Koribacteraceae.g\\_\\_Candidatus.Koribacter.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Methylibium.s\\_\\_ & ... & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Rhodoferax.s\\_\\_.4 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Gammaproteobacteria.o\\_\\_Xanthomonadales.f\\_\\_Xanthomonadaceae.g\\_\\_Dokdonella.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Lactobacillales.f\\_\\_Streptococcaceae.g\\_\\_Streptococcus.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Methylophilales.f\\_\\_Methylophilaceae.g\\_\\_Methylotenera.s\\_\\_mobilis.2 & k\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Actinobacteria.o\\_\\_Actinomycetales.f\\_\\_Streptomycetaceae.g\\_\\_Streptomyces.s\\_\\_.44 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Gammaproteobacteria.o\\_\\_Xanthomonadales.f\\_\\_Xanthomonadaceae.g\\_\\_Luteimonas.s\\_\\_.2 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.142 & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Bacillales.f\\_\\_Planococcaceae.g\\_\\_Solibacillus.s\\_\\_.3 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Ramlibacter.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Actinobacteria.o\\_\\_Actinomycetales.f\\_\\_Mycobacteriaceae.g\\_\\_Mycobacterium.s\\_\\_.28\\\\\n", + "\\hline\n", + "\t103.CA2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ... & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 \\\\\n", + "\t103.CO3 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 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k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__ | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__ | k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__ | k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__ | k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__ | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__ | ... | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rhodoferax.s__.4 | k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__.9 | k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Streptococcus.s__.9 | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Methylophilales.f__Methylophilaceae.g__Methylotenera.s__mobilis.2 | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.44 | k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Luteimonas.s__.2 | k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.142 | k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Solibacillus.s__.3 | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Ramlibacter.s__.9 | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.28 |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 103.CA2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |\n", + "| 103.CO3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |\n", + "| 103.SR3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 |\n", + "| 103.IE2 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 2 | 0 | 0 | 1 |\n", + "| 103.BP1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |\n", + "| 103.VC2 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 2 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 |\n", + "\n" + ], + "text/plain": [ + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "103.IE2 1 \n", + "103.BP1 0 \n", + "103.VC2 0 \n", + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralis\n", + "103.CA2 0 \n", + "103.CO3 0 \n", + "103.SR3 0 \n", + "103.IE2 0 \n", + "103.BP1 0 \n", + "103.VC2 0 \n", + " 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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 89\n", + "\\item 2183\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 89\n", + "2. 2183\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 89 2183" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralisk__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__...k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rhodoferax.s__.4k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__.9k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Streptococcus.s__.9k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Methylophilales.f__Methylophilaceae.g__Methylotenera.s__mobilis.2k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.44k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Luteimonas.s__.2k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.142k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Solibacillus.s__.3k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Ramlibacter.s__.9k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.28
    103.CA2-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436... -7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436-7.828436
    103.CO3-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452... -7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.892452-7.199305
    103.SR3-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718... -7.942718-7.249570-7.942718-7.942718-7.942718-7.942718-7.942718-7.942718-7.249570-7.249570
    103.IE2-7.208230-7.901377-7.901377-7.901377-7.901377-7.901377-7.901377-7.901377-7.901377-7.901377... -7.901377-7.901377-7.901377-7.901377-7.901377-7.901377-6.515083-7.901377-7.901377-7.208230
    103.BP1-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139... -7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.781139-7.087991
    103.VC2-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-6.439350... -7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.825645-7.132498
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll}\n", + " & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Bacillales.f\\_\\_Paenibacillaceae.g\\_\\_Paenibacillus.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Bacillales.f\\_\\_Bacillaceae.g\\_\\_Bacillus.s\\_\\_muralis & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Sphingomonadales.f\\_\\_Sphingomonadaceae.g\\_\\_Novosphingobium.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Solibacteres.o\\_\\_Solibacterales.f\\_\\_Solibacteraceae.g\\_\\_Candidatus.Solibacter.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Actinobacteria.o\\_\\_Actinomycetales.f\\_\\_Nocardioidaceae.g\\_\\_Nocardioides.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Bacteroidetes.c\\_\\_Flavobacteriia.o\\_\\_Flavobacteriales.f\\_\\_Flavobacteriaceae.g\\_\\_Flavobacterium.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Clostridia.o\\_\\_Clostridiales.f\\_\\_Peptococcaceae.g\\_\\_Desulfotomaculum.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Acidobacteriia.o\\_\\_Acidobacteriales.f\\_\\_Koribacteraceae.g\\_\\_Candidatus.Koribacter.s\\_\\_ & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Methylibium.s\\_\\_ & ... & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Rhodoferax.s\\_\\_.4 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Gammaproteobacteria.o\\_\\_Xanthomonadales.f\\_\\_Xanthomonadaceae.g\\_\\_Dokdonella.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Lactobacillales.f\\_\\_Streptococcaceae.g\\_\\_Streptococcus.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Methylophilales.f\\_\\_Methylophilaceae.g\\_\\_Methylotenera.s\\_\\_mobilis.2 & k\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Actinobacteria.o\\_\\_Actinomycetales.f\\_\\_Streptomycetaceae.g\\_\\_Streptomyces.s\\_\\_.44 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Gammaproteobacteria.o\\_\\_Xanthomonadales.f\\_\\_Xanthomonadaceae.g\\_\\_Luteimonas.s\\_\\_.2 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.142 & k\\_\\_Bacteria.p\\_\\_Firmicutes.c\\_\\_Bacilli.o\\_\\_Bacillales.f\\_\\_Planococcaceae.g\\_\\_Solibacillus.s\\_\\_.3 & k\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Betaproteobacteria.o\\_\\_Burkholderiales.f\\_\\_Comamonadaceae.g\\_\\_Ramlibacter.s\\_\\_.9 & k\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Actinobacteria.o\\_\\_Actinomycetales.f\\_\\_Mycobacteriaceae.g\\_\\_Mycobacterium.s\\_\\_.28\\\\\n", + "\\hline\n", + "\t103.CA2 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & ... & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436 & -7.828436\\\\\n", + "\t103.CO3 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & ... & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.892452 & -7.199305\\\\\n", + "\t103.SR3 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & ... & -7.942718 & -7.249570 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.942718 & -7.249570 & -7.249570\\\\\n", + "\t103.IE2 & -7.208230 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & ... & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -7.901377 & -6.515083 & -7.901377 & -7.901377 & -7.208230\\\\\n", + "\t103.BP1 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & ... & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.781139 & -7.087991\\\\\n", + "\t103.VC2 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -6.439350 & ... & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.825645 & -7.132498\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__ | k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralis | k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__ | k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__ | k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__ | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__ | k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__ | k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__ | k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__ | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__ | ... | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rhodoferax.s__.4 | k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__.9 | k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Streptococcus.s__.9 | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Methylophilales.f__Methylophilaceae.g__Methylotenera.s__mobilis.2 | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.44 | k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Luteimonas.s__.2 | k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.142 | k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Solibacillus.s__.3 | k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Ramlibacter.s__.9 | k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.28 |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 103.CA2 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | ... | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 | -7.828436 |\n", + "| 103.CO3 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | ... | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.892452 | -7.199305 |\n", + "| 103.SR3 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | ... | -7.942718 | -7.249570 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.942718 | -7.249570 | -7.249570 |\n", + "| 103.IE2 | -7.208230 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | ... | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -7.901377 | -6.515083 | -7.901377 | -7.901377 | -7.208230 |\n", + "| 103.BP1 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | ... | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.781139 | -7.087991 |\n", + "| 103.VC2 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -6.439350 | ... | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.825645 | -7.132498 |\n", + "\n" + ], + "text/plain": [ + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Paenibacillaceae.g__Paenibacillus.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.208230 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Bacillaceae.g__Bacillus.s__muralis\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Novosphingobium.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Nocardioidaceae.g__Nocardioides.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Bacteroidetes.c__Flavobacteriia.o__Flavobacteriales.f__Flavobacteriaceae.g__Flavobacterium.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Firmicutes.c__Clostridia.o__Clostridiales.f__Peptococcaceae.g__Desulfotomaculum.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Acidobacteria.c__Acidobacteriia.o__Acidobacteriales.f__Koribacteraceae.g__Candidatus.Koribacter.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Methylibium.s__\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -6.439350 \n", + " ...\n", + "103.CA2 ...\n", + "103.CO3 ...\n", + "103.SR3 ...\n", + "103.IE2 ...\n", + "103.BP1 ...\n", + "103.VC2 ...\n", + " k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Rhodoferax.s__.4\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Dokdonella.s__.9\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.249570 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Lactobacillales.f__Streptococcaceae.g__Streptococcus.s__.9\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Methylophilales.f__Methylophilaceae.g__Methylotenera.s__mobilis.2\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Streptomycetaceae.g__Streptomyces.s__.44\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Gammaproteobacteria.o__Xanthomonadales.f__Xanthomonadaceae.g__Luteimonas.s__.2\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.142\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -6.515083 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Firmicutes.c__Bacilli.o__Bacillales.f__Planococcaceae.g__Solibacillus.s__.3\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.942718 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Proteobacteria.c__Betaproteobacteria.o__Burkholderiales.f__Comamonadaceae.g__Ramlibacter.s__.9\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.892452 \n", + "103.SR3 -7.249570 \n", + "103.IE2 -7.901377 \n", + "103.BP1 -7.781139 \n", + "103.VC2 -7.825645 \n", + " k__Bacteria.p__Actinobacteria.c__Actinobacteria.o__Actinomycetales.f__Mycobacteriaceae.g__Mycobacterium.s__.28\n", + "103.CA2 -7.828436 \n", + "103.CO3 -7.199305 \n", + "103.SR3 -7.249570 \n", + "103.IE2 -7.208230 \n", + "103.BP1 -7.087991 \n", + "103.VC2 -7.132498 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# add pesudo count 0.5\n", + "x = count # preprossed done already\n", + "x[x == 0] <- 0.5\n", + "x <- x/rowSums(x) # relative abundance\n", + "taxa <- log(x)\n", + "dim(taxa)\n", + "head(taxa)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
      \n", + "\t
    1. 'BarcodeSequence'
    2. \n", + "\t
    3. 'LinkerPrimerSequence'
    4. \n", + "\t
    5. 'barcode_read_group_tag'
    6. \n", + "\t
    7. 'dna_extracted_prep'
    8. \n", + "\t
    9. 'experiment_alias'
    10. \n", + "\t
    11. 'experiment_center'
    12. \n", + "\t
    13. 'experiment_design_description'
    14. \n", + "\t
    15. 'experiment_title'
    16. \n", + "\t
    17. 'instrument_name'
    18. \n", + "\t
    19. 'key_seq'
    20. \n", + "\t
    21. 'library_construction_protocol'
    22. \n", + "\t
    23. 'linker'
    24. \n", + "\t
    25. 'pcr_primers'
    26. \n", + "\t
    27. 'physical_specimen_remaining_prep'
    28. \n", + "\t
    29. 'platform'
    30. \n", + "\t
    31. 'pool_member_name'
    32. \n", + "\t
    33. 'pool_proportion'
    34. \n", + "\t
    35. 'primer_read_group_tag'
    36. \n", + "\t
    37. 'region'
    38. \n", + "\t
    39. 'run_alias'
    40. \n", + "\t
    41. 'run_center'
    42. \n", + "\t
    43. 'run_date'
    44. \n", + "\t
    45. 'run_prefix'
    46. \n", + "\t
    47. 'samp_size'
    48. \n", + "\t
    49. 'sample_center'
    50. \n", + "\t
    51. 'sample_type_prep'
    52. \n", + "\t
    53. 'sequencing_meth'
    54. \n", + "\t
    55. 'study_center'
    56. \n", + "\t
    57. 'study_ref'
    58. \n", + "\t
    59. 'target_gene'
    60. \n", + "\t
    61. 'target_subfragment'
    62. \n", + "\t
    63. 'altitude'
    64. \n", + "\t
    65. 'annual_season_precpt'
    66. \n", + "\t
    67. 'annual_season_temp'
    68. \n", + "\t
    69. 'anonymized_name'
    70. \n", + "\t
    71. 'assigned_from_geo'
    72. \n", + "\t
    73. 'carb_nitro_ratio'
    74. \n", + "\t
    75. 'cmin_rate'
    76. \n", + "\t
    77. 'collection_date'
    78. \n", + "\t
    79. 'common_name'
    80. \n", + "\t
    81. 'country'
    82. \n", + "\t
    83. 'depth'
    84. \n", + "\t
    85. 'dna_extracted'
    86. \n", + "\t
    87. 'elevation'
    88. \n", + "\t
    89. 'env_biome'
    90. \n", + "\t
    91. 'env_feature'
    92. \n", + "\t
    93. 'env_matter'
    94. \n", + "\t
    95. 'host_subject_id'
    96. \n", + "\t
    97. 'latitude'
    98. \n", + "\t
    99. 'longitude'
    100. \n", + "\t
    101. 'ph'
    102. \n", + "\t
    103. 'physical_specimen_remaining'
    104. \n", + "\t
    105. 'project_name'
    106. \n", + "\t
    107. 'public'
    108. \n", + "\t
    109. 'sample_type'
    110. \n", + "\t
    111. 'silt_clay'
    112. \n", + "\t
    113. 'soil_moisture_deficit'
    114. \n", + "\t
    115. 'soil_type'
    116. \n", + "\t
    117. 'specific_location'
    118. \n", + "\t
    119. 'taxon_id'
    120. \n", + "\t
    121. 'texture'
    122. \n", + "\t
    123. 'title'
    124. \n", + "\t
    125. 'tot_org_carb'
    126. \n", + "\t
    127. 'tot_org_nitro'
    128. \n", + "\t
    129. 'Description'
    130. \n", + "\t
    131. 'ph2'
    132. \n", + "\t
    133. 'ph3'
    134. \n", + "\t
    135. 'ph4'
    136. \n", + "\t
    137. 'ph_rounded'
    138. \n", + "
    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 'BarcodeSequence'\n", + "\\item 'LinkerPrimerSequence'\n", + "\\item 'barcode\\_read\\_group\\_tag'\n", + "\\item 'dna\\_extracted\\_prep'\n", + "\\item 'experiment\\_alias'\n", + "\\item 'experiment\\_center'\n", + "\\item 'experiment\\_design\\_description'\n", + "\\item 'experiment\\_title'\n", + "\\item 'instrument\\_name'\n", + "\\item 'key\\_seq'\n", + "\\item 'library\\_construction\\_protocol'\n", + "\\item 'linker'\n", + "\\item 'pcr\\_primers'\n", + "\\item 'physical\\_specimen\\_remaining\\_prep'\n", + "\\item 'platform'\n", + "\\item 'pool\\_member\\_name'\n", + "\\item 'pool\\_proportion'\n", + "\\item 'primer\\_read\\_group\\_tag'\n", + "\\item 'region'\n", + "\\item 'run\\_alias'\n", + "\\item 'run\\_center'\n", + "\\item 'run\\_date'\n", + "\\item 'run\\_prefix'\n", + "\\item 'samp\\_size'\n", + "\\item 'sample\\_center'\n", + "\\item 'sample\\_type\\_prep'\n", + "\\item 'sequencing\\_meth'\n", + "\\item 'study\\_center'\n", + "\\item 'study\\_ref'\n", + "\\item 'target\\_gene'\n", + "\\item 'target\\_subfragment'\n", + "\\item 'altitude'\n", + "\\item 'annual\\_season\\_precpt'\n", + "\\item 'annual\\_season\\_temp'\n", + "\\item 'anonymized\\_name'\n", + "\\item 'assigned\\_from\\_geo'\n", + "\\item 'carb\\_nitro\\_ratio'\n", + "\\item 'cmin\\_rate'\n", + "\\item 'collection\\_date'\n", + "\\item 'common\\_name'\n", + "\\item 'country'\n", + "\\item 'depth'\n", + "\\item 'dna\\_extracted'\n", + "\\item 'elevation'\n", + "\\item 'env\\_biome'\n", + "\\item 'env\\_feature'\n", + "\\item 'env\\_matter'\n", + "\\item 'host\\_subject\\_id'\n", + "\\item 'latitude'\n", + "\\item 'longitude'\n", + "\\item 'ph'\n", + "\\item 'physical\\_specimen\\_remaining'\n", + "\\item 'project\\_name'\n", + "\\item 'public'\n", + "\\item 'sample\\_type'\n", + "\\item 'silt\\_clay'\n", + "\\item 'soil\\_moisture\\_deficit'\n", + "\\item 'soil\\_type'\n", + "\\item 'specific\\_location'\n", + "\\item 'taxon\\_id'\n", + "\\item 'texture'\n", + "\\item 'title'\n", + "\\item 'tot\\_org\\_carb'\n", + "\\item 'tot\\_org\\_nitro'\n", + "\\item 'Description'\n", + "\\item 'ph2'\n", + "\\item 'ph3'\n", + "\\item 'ph4'\n", + "\\item 'ph\\_rounded'\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 'BarcodeSequence'\n", + "2. 'LinkerPrimerSequence'\n", + "3. 'barcode_read_group_tag'\n", + "4. 'dna_extracted_prep'\n", + "5. 'experiment_alias'\n", + "6. 'experiment_center'\n", + "7. 'experiment_design_description'\n", + "8. 'experiment_title'\n", + "9. 'instrument_name'\n", + "10. 'key_seq'\n", + "11. 'library_construction_protocol'\n", + "12. 'linker'\n", + "13. 'pcr_primers'\n", + "14. 'physical_specimen_remaining_prep'\n", + "15. 'platform'\n", + "16. 'pool_member_name'\n", + "17. 'pool_proportion'\n", + "18. 'primer_read_group_tag'\n", + "19. 'region'\n", + "20. 'run_alias'\n", + "21. 'run_center'\n", + "22. 'run_date'\n", + "23. 'run_prefix'\n", + "24. 'samp_size'\n", + "25. 'sample_center'\n", + "26. 'sample_type_prep'\n", + "27. 'sequencing_meth'\n", + "28. 'study_center'\n", + "29. 'study_ref'\n", + "30. 'target_gene'\n", + "31. 'target_subfragment'\n", + "32. 'altitude'\n", + "33. 'annual_season_precpt'\n", + "34. 'annual_season_temp'\n", + "35. 'anonymized_name'\n", + "36. 'assigned_from_geo'\n", + "37. 'carb_nitro_ratio'\n", + "38. 'cmin_rate'\n", + "39. 'collection_date'\n", + "40. 'common_name'\n", + "41. 'country'\n", + "42. 'depth'\n", + "43. 'dna_extracted'\n", + "44. 'elevation'\n", + "45. 'env_biome'\n", + "46. 'env_feature'\n", + "47. 'env_matter'\n", + "48. 'host_subject_id'\n", + "49. 'latitude'\n", + "50. 'longitude'\n", + "51. 'ph'\n", + "52. 'physical_specimen_remaining'\n", + "53. 'project_name'\n", + "54. 'public'\n", + "55. 'sample_type'\n", + "56. 'silt_clay'\n", + "57. 'soil_moisture_deficit'\n", + "58. 'soil_type'\n", + "59. 'specific_location'\n", + "60. 'taxon_id'\n", + "61. 'texture'\n", + "62. 'title'\n", + "63. 'tot_org_carb'\n", + "64. 'tot_org_nitro'\n", + "65. 'Description'\n", + "66. 'ph2'\n", + "67. 'ph3'\n", + "68. 'ph4'\n", + "69. 'ph_rounded'\n", + "\n", + "\n" + ], + "text/plain": [ + " [1] \"BarcodeSequence\" \"LinkerPrimerSequence\" \n", + " [3] \"barcode_read_group_tag\" \"dna_extracted_prep\" \n", + " [5] \"experiment_alias\" \"experiment_center\" \n", + " [7] \"experiment_design_description\" \"experiment_title\" \n", + " [9] \"instrument_name\" \"key_seq\" \n", + "[11] \"library_construction_protocol\" \"linker\" \n", + "[13] \"pcr_primers\" \"physical_specimen_remaining_prep\"\n", + "[15] \"platform\" \"pool_member_name\" \n", + "[17] \"pool_proportion\" \"primer_read_group_tag\" \n", + "[19] \"region\" \"run_alias\" \n", + "[21] \"run_center\" \"run_date\" \n", + "[23] \"run_prefix\" \"samp_size\" \n", + "[25] \"sample_center\" \"sample_type_prep\" \n", + "[27] \"sequencing_meth\" \"study_center\" \n", + "[29] \"study_ref\" \"target_gene\" \n", + "[31] \"target_subfragment\" \"altitude\" \n", + "[33] \"annual_season_precpt\" \"annual_season_temp\" \n", + "[35] \"anonymized_name\" \"assigned_from_geo\" \n", + "[37] \"carb_nitro_ratio\" \"cmin_rate\" \n", + "[39] \"collection_date\" \"common_name\" \n", + "[41] \"country\" \"depth\" \n", + "[43] \"dna_extracted\" \"elevation\" \n", + "[45] \"env_biome\" \"env_feature\" \n", + "[47] \"env_matter\" \"host_subject_id\" \n", + "[49] \"latitude\" \"longitude\" \n", + "[51] \"ph\" \"physical_specimen_remaining\" \n", + "[53] \"project_name\" \"public\" \n", + "[55] \"sample_type\" \"silt_clay\" \n", + "[57] \"soil_moisture_deficit\" \"soil_type\" \n", + "[59] \"specific_location\" \"taxon_id\" \n", + "[61] \"texture\" \"title\" \n", + "[63] \"tot_org_carb\" \"tot_org_nitro\" \n", + "[65] \"Description\" \"ph2\" \n", + "[67] \"ph3\" \"ph4\" \n", + "[69] \"ph_rounded\" " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "colnames(demo)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "89" + ], + "text/latex": [ + "89" + ], + "text/markdown": [ + "89" + ], + "text/plain": [ + "[1] 89" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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    5. 6.95
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 8.02\n", + "\\item 6.02\n", + "\\item 6.95\n", + "\\item 5.52\n", + "\\item 7.53\n", + "\\item 5.99\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 8.02\n", + "2. 6.02\n", + "3. 6.95\n", + "4. 5.52\n", + "5. 7.53\n", + "6. 5.99\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 8.02 6.02 6.95 5.52 7.53 5.99" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# metadata\n", + "mf <- read.csv(\"../data_application/88soils/88soils_modified_metadata.txt\", sep='\\t', row.names=1)\n", + "y <- mf$ph[match(rownames(count), rownames(mf))]\n", + "length(y)\n", + "head(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "'matrix'" + ], + "text/latex": [ + "'matrix'" + ], + "text/markdown": [ + "'matrix'" + ], + "text/plain": [ + "[1] \"matrix\"" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "'numeric'" + ], + "text/latex": [ + "'numeric'" + ], + "text/markdown": [ + "'numeric'" + ], + "text/plain": [ + "[1] \"numeric\"" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check datatype\n", + "class(taxa); class(y)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "# save processed data\n", + "save(y, taxa, file='../data_application/88soils/soils_ph.RData')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### rough parameter ranges for this dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/soils_ph.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "## random forest\n", + "library(ranger)" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Ranger result\n", + "\n", + "Call:\n", + " ranger(y ~ ., data = data) \n", + "\n", + "Type: Regression \n", + "Number of trees: 500 \n", + "Sample size: 89 \n", + "Number of independent variables: 2183 \n", + "Mtry: 46 \n", + "Target node size: 5 \n", + "Variable importance mode: none \n", + "Splitrule: variance \n", + "OOB prediction error (MSE): 0.5718106 \n", + "R squared (OOB): 0.725152 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data = as.data.frame(cbind(y, taxa)) \n", + "rf.fit = ranger(y ~ ., data=data)\n", + "rf.fit # change mtry to seq(30, 60, 5)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/4.2 88soils_results.ipynb b/data_application/notebooks_application/4.2 88soils_results.ipynb new file mode 100644 index 0000000..11a94cd --- /dev/null +++ b/data_application/notebooks_application/4.2 88soils_results.ipynb @@ -0,0 +1,361 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# example: p/n = 2183/89 = 24.5" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/soils_ph_compLasso.RData')\n", + "load('../data_application/88soils/soils_ph_elnet.RData')\n", + "load('../data_application/88soils/soils_ph_lasso.RData')\n", + "load('../data_application/88soils/soils_ph_rf.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 0.39\n", + "\\item 0.43\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 0.39\n", + "2. 0.43\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 0.39 0.43" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c(out_compLasso$stab_index, out_compLasso$MSE_mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 0.31\n", + "\\item 0.31\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 0.31\n", + "2. 0.31\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 0.31 0.31" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c(out_lasso$stab_index, out_lasso$MSE_mean) " + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 0.17\n", + "\\item 0.19\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 0.17\n", + "2. 0.19\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 0.17 0.19" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c(out_elnet$stab_index, out_elnet$MSE_mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 0.04\n", + "\\item 0.25\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 0.04\n", + "2. 0.25\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 0.04 0.25" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "c(out_rf$stab_index, out_rf$MSE_mean)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# conclusion: based on stability -- compLasso the best: compLasso > Lasso > Elnet > RF\n", + "# based on MSE -- random forest with altman the best: Elnet > RF > Lasso > compLasso" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### add selection probability for each feature selection methods" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/soils_ph.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "prob_compLasso = colSums(out_compLasso$stab_table)/dim(out_compLasso$stab_table)[1]\n", + "prob_lasso = colSums(out_lasso$stab_table)/dim(out_lasso$stab_table)[1]\n", + "prob_elnet = colSums(out_elnet$stab_table)/dim(out_elnet$stab_table)[1]\n", + "prob_rf = colSums(out_rf$stab_table)/dim(out_rf$stab_table)[1]\n", + "feature_prob = t(data.frame(rbind(prob_compLasso, prob_lasso, prob_elnet, prob_rf)))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    prob_compLassoprob_lassoprob_elnetprob_rf
    k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.200.980.981.000.75
    k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.80.920.890.940.59
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.110.900.860.910.56
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.870.850.880.910.65
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.1310.850.860.820.55
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.50.660.460.600.58
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.650.640.700.910.39
    k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.230.570.800.860.31
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.230.530.530.780.36
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.830.520.610.820.20
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " & prob\\_compLasso & prob\\_lasso & prob\\_elnet & prob\\_rf\\\\\n", + "\\hline\n", + "\tk\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Rubrobacteria.o\\_\\_Rubrobacterales.f\\_\\_Rubrobacteraceae.g\\_\\_Rubrobacter.s\\_\\_.20 & 0.98 & 0.98 & 1.00 & 0.75\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Solibacteres.o\\_\\_Solibacterales.f\\_\\_Solibacteraceae.g\\_\\_Candidatus.Solibacter.s\\_\\_.8 & 0.92 & 0.89 & 0.94 & 0.59\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Bradyrhizobiaceae.g\\_\\_Balneimonas.s\\_\\_.11 & 0.90 & 0.86 & 0.91 & 0.56\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.87 & 0.85 & 0.88 & 0.91 & 0.65\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.131 & 0.85 & 0.86 & 0.82 & 0.55\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Bradyrhizobiaceae.g\\_\\_Balneimonas.s\\_\\_.5 & 0.66 & 0.46 & 0.60 & 0.58\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.65 & 0.64 & 0.70 & 0.91 & 0.39\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Solibacteres.o\\_\\_Solibacterales.f\\_\\_Solibacteraceae.g\\_\\_Candidatus.Solibacter.s\\_\\_.23 & 0.57 & 0.80 & 0.86 & 0.31\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Sphingomonadales.f\\_\\_Sphingomonadaceae.g\\_\\_Kaistobacter.s\\_\\_.23 & 0.53 & 0.53 & 0.78 & 0.36\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.83 & 0.52 & 0.61 & 0.82 & 0.20\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | prob_compLasso | prob_lasso | prob_elnet | prob_rf |\n", + "|---|---|---|---|---|\n", + "| k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 | 0.98 | 0.98 | 1.00 | 0.75 |\n", + "| k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 | 0.92 | 0.89 | 0.94 | 0.59 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 | 0.90 | 0.86 | 0.91 | 0.56 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 | 0.85 | 0.88 | 0.91 | 0.65 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 | 0.85 | 0.86 | 0.82 | 0.55 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 | 0.66 | 0.46 | 0.60 | 0.58 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 | 0.64 | 0.70 | 0.91 | 0.39 |\n", + "| k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.23 | 0.57 | 0.80 | 0.86 | 0.31 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 | 0.53 | 0.53 | 0.78 | 0.36 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 | 0.52 | 0.61 | 0.82 | 0.20 |\n", + "\n" + ], + "text/plain": [ + " prob_compLasso\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.98 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.92 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.90 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.85 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.85 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.66 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.64 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.23 0.57 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.53 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.52 \n", + " prob_lasso\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.98 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.89 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.86 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.88 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.86 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.46 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.70 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.23 0.80 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.53 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.61 \n", + " prob_elnet\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 1.00 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.94 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.91 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.91 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.82 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.60 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.91 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.23 0.86 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.78 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.82 \n", + " prob_rf\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.75 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.59 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.56 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.65 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.55 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.58 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.39 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.23 0.31 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.36 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.20 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rownames(feature_prob) = colnames(taxa)\n", + "head(feature_prob[order(-feature_prob[, 1]), ], 10) # descending order" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "write.table(feature_prob, file='../data_application/88soils/soils_slection_prob.txt', sep='\\t', col.names=NA)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# from Jamie's paper: Acidobacteria, Actinobacteria, Bacteroidetes, alpha-, beta-, and gammaproteobacteria \n", + "# are all associated with ph\n", + "## summary: what been selected by compLasso & lasso almost all belong to above ranges" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/data_application/notebooks_application/4.2 88soils_results_filter1%.ipynb b/data_application/notebooks_application/4.2 88soils_results_filter1%.ipynb new file mode 100644 index 0000000..055e98e --- /dev/null +++ b/data_application/notebooks_application/4.2 88soils_results_filter1%.ipynb @@ -0,0 +1,455 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/filter_onepercent/soils_ph_compLasso.RData')\n", + "load('../data_application/88soils/filter_onepercent/soils_ph_elnet.RData')\n", + "load('../data_application/88soils/filter_onepercent/soils_ph_lasso.RData')\n", + "load('../data_application/88soils/filter_onepercent/soils_ph_rf.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    datasetmethodmsestability
    soil_88 lasso 0.34 0.31
    soil_88 elent 0.23 0.16
    soil_88 rf 0.26 0.04
    soil_88 compLasso0.46 0.39
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " dataset & method & mse & stability\\\\\n", + "\\hline\n", + "\t soil\\_88 & lasso & 0.34 & 0.31 \\\\\n", + "\t soil\\_88 & elent & 0.23 & 0.16 \\\\\n", + "\t soil\\_88 & rf & 0.26 & 0.04 \\\\\n", + "\t soil\\_88 & compLasso & 0.46 & 0.39 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| dataset | method | mse | stability |\n", + "|---|---|---|---|\n", + "| soil_88 | lasso | 0.34 | 0.31 |\n", + "| soil_88 | elent | 0.23 | 0.16 |\n", + "| soil_88 | rf | 0.26 | 0.04 |\n", + "| soil_88 | compLasso | 0.46 | 0.39 |\n", + "\n" + ], + "text/plain": [ + " dataset method mse stability\n", + "1 soil_88 lasso 0.34 0.31 \n", + "2 soil_88 elent 0.23 0.16 \n", + "3 soil_88 rf 0.26 0.04 \n", + "4 soil_88 compLasso 0.46 0.39 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# combine and export results\n", + "soil_88 = as.data.frame(matrix(NA, nrow=4, ncol=4))\n", + "colnames(soil_88) = c('dataset', 'method', 'mse', 'stability')\n", + "soil_88$dataset = 'soil_88'\n", + "soil_88$method = c('lasso', 'elent', 'rf', 'compLasso')\n", + "soil_88$mse = c(out_lasso$MSE_mean, out_elnet$MSE_mean, out_rf$MSE_mean, out_compLasso$MSE_mean)\n", + "soil_88$stability = c(out_lasso$stab_index, out_elnet$stab_index, out_rf$stab_index, out_compLasso$stab_index)\n", + "soil_88\n", + "#write.table(soil_88, file='../data_application/88soils/filter_onepercent/table_soil_88.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### add selection probability for each feature selection methods" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "load('../data_application/88soils/filter_onepercent/soils_ph.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{enumerate*}\n", + "\\item 89\n", + "\\item 2183\n", + "\\end{enumerate*}\n" + ], + "text/markdown": [ + "1. 89\n", + "2. 2183\n", + "\n", + "\n" + ], + "text/plain": [ + "[1] 89 2183" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dim(taxa) # correct dimension" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "prob_compLasso = colSums(out_compLasso$stab_table)/dim(out_compLasso$stab_table)[1]\n", + "prob_lasso = colSums(out_lasso$stab_table)/dim(out_lasso$stab_table)[1]\n", + "prob_elnet = colSums(out_elnet$stab_table)/dim(out_elnet$stab_table)[1]\n", + "prob_rf = colSums(out_rf$stab_table)/dim(out_rf$stab_table)[1]\n", + "feature_prob = t(data.frame(rbind(prob_compLasso, prob_lasso, prob_elnet, prob_rf)))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    prob_compLassoprob_lassoprob_elnetprob_rf
    k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.200.960.980.990.62
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.1310.910.920.900.60
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.110.900.860.850.63
    k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.80.880.860.900.58
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.870.800.840.940.60
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.650.620.660.940.39
    k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.220.580.710.920.24
    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.230.570.590.810.34
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    k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.830.540.640.870.19
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llll}\n", + " & prob\\_compLasso & prob\\_lasso & prob\\_elnet & prob\\_rf\\\\\n", + "\\hline\n", + "\tk\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Rubrobacteria.o\\_\\_Rubrobacterales.f\\_\\_Rubrobacteraceae.g\\_\\_Rubrobacter.s\\_\\_.20 & 0.96 & 0.98 & 0.99 & 0.62\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.131 & 0.91 & 0.92 & 0.90 & 0.60\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Bradyrhizobiaceae.g\\_\\_Balneimonas.s\\_\\_.11 & 0.90 & 0.86 & 0.85 & 0.63\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Acidobacteria.c\\_\\_Solibacteres.o\\_\\_Solibacterales.f\\_\\_Solibacteraceae.g\\_\\_Candidatus.Solibacter.s\\_\\_.8 & 0.88 & 0.86 & 0.90 & 0.58\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.87 & 0.80 & 0.84 & 0.94 & 0.60\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.65 & 0.62 & 0.66 & 0.94 & 0.39\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Actinobacteria.c\\_\\_Rubrobacteria.o\\_\\_Rubrobacterales.f\\_\\_Rubrobacteraceae.g\\_\\_Rubrobacter.s\\_\\_.22 & 0.58 & 0.71 & 0.92 & 0.24\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Sphingomonadales.f\\_\\_Sphingomonadaceae.g\\_\\_Kaistobacter.s\\_\\_.23 & 0.57 & 0.59 & 0.81 & 0.34\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Bradyrhizobiaceae.g\\_\\_Balneimonas.s\\_\\_.5 & 0.56 & 0.37 & 0.65 & 0.66\\\\\n", + "\tk\\_\\_Bacteria.p\\_\\_Proteobacteria.c\\_\\_Alphaproteobacteria.o\\_\\_Rhizobiales.f\\_\\_Hyphomicrobiaceae.g\\_\\_Rhodoplanes.s\\_\\_.83 & 0.54 & 0.64 & 0.87 & 0.19\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | prob_compLasso | prob_lasso | prob_elnet | prob_rf |\n", + "|---|---|---|---|---|\n", + "| k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 | 0.96 | 0.98 | 0.99 | 0.62 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 | 0.91 | 0.92 | 0.90 | 0.60 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 | 0.90 | 0.86 | 0.85 | 0.63 |\n", + "| k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 | 0.88 | 0.86 | 0.90 | 0.58 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 | 0.80 | 0.84 | 0.94 | 0.60 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 | 0.62 | 0.66 | 0.94 | 0.39 |\n", + "| k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.22 | 0.58 | 0.71 | 0.92 | 0.24 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 | 0.57 | 0.59 | 0.81 | 0.34 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 | 0.56 | 0.37 | 0.65 | 0.66 |\n", + "| k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 | 0.54 | 0.64 | 0.87 | 0.19 |\n", + "\n" + ], + "text/plain": [ + " prob_compLasso\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.96 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.91 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.90 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.88 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.80 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.62 \n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.22 0.58 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.57 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.56 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.54 \n", + " prob_lasso\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.98 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.92 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.86 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.86 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.84 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.66 \n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.22 0.71 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.59 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.37 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.64 \n", + " prob_elnet\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.99 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.90 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.85 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.90 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.94 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.94 \n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.22 0.92 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.81 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.65 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.87 \n", + " prob_rf\n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.20 0.62 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.131 0.60 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.11 0.63 \n", + "k__Bacteria.p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter.s__.8 0.58 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.87 0.60 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.65 0.39 \n", + "k__Bacteria.p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter.s__.22 0.24 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Sphingomonadales.f__Sphingomonadaceae.g__Kaistobacter.s__.23 0.34 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas.s__.5 0.66 \n", + "k__Bacteria.p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes.s__.83 0.19 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "rownames(feature_prob) = colnames(taxa)\n", + "head(feature_prob[order(-feature_prob[, 1]), ], 10) # descending order" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "write.table(feature_prob, file='../data_application/88soils/filter_onepercent/soils_slection_prob.txt', sep='\\t', col.names=NA)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# top 5 from compLasso \n", + "# p__Actinobacteria.c__Rubrobacteria.o__Rubrobacterales.f__Rubrobacteraceae.g__Rubrobacter: 0.96\n", + "# p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes: 0.91\n", + "# p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Bradyrhizobiaceae.g__Balneimonas: 0.9\n", + "# p__Acidobacteria.c__Solibacteres.o__Solibacterales.f__Solibacteraceae.g__Candidatus.Solibacter: 0.88\n", + "# p__Proteobacteria.c__Alphaproteobacteria.o__Rhizobiales.f__Hyphomicrobiaceae.g__Rhodoplanes: 0.8" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# from Jamie's paper: Acidobacteria, Actinobacteria, Bacteroidetes, alpha-, beta-, and gammaproteobacteria \n", + "# are all associated with ph\n", + "## summary: what been selected by compLasso all belong to above ranges" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git 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    8lBme*a literal 0 HcmV?d00001 diff --git a/simulations/code_sim_compare/CL_sim_apply.R b/simulations/code_sim_compare/CL_sim_apply.R new file mode 100644 index 0000000..f6ebdb7 --- /dev/null +++ b/simulations/code_sim_compare/CL_sim_apply.R @@ -0,0 +1,87 @@ +##################################################################### +#### Compositional Lasso on simulation results ###################### +##################################################################### +library(FSA) # for se() +source('cv_method.R') +source('getStability.R') +source('cv_sim_apply.R') + +dir = '../sim_data' +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +########################################### +#### Independent simulations ############## +########################################### +files = NULL +for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData')) +} + +results_ind_compLasso = NULL +for (i in 1:length(files)){ # parallel computing not working + print(i) + results_ind_compLasso[[i]] = sim_evaluate_cv(sim_file=files[i], method='compLasso') +} +save(file=paste0(dir, '/independent_compLasso.RData'), results_ind_compLasso) + +########################################### +#### Toeplitz simulations ############## +########################################### +## correlation strength +rou.list = seq(0.1, 0.9, 0.2) + +files = NULL +for (rou in rou.list){ + for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep='')) + } +} + +results_toe_compLasso = NULL +for (i in 1:length(files)){ # parallel computing not working + print(i) + results_toe_compLasso[[i]] = sim_evaluate_cv(sim_file=files[i], method='compLasso') +} +save(file=paste0(dir, '/toe_compLasso.RData'), results_toe_compLasso) + +########################################### +#### Block simulations #################### +########################################### +rou.list = seq(0.1, 0.9, 0.2) + +files = NULL +for (rou in rou.list){ + for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep='')) + } +} + +results_block_compLasso = NULL +for (i in 1:length(files)){ # parallel computing not working + print(i) + results_block_compLasso[[i]] = sim_evaluate_cv(sim_file=files[i], method='compLasso') +} +save(file=paste0(dir, '/block_compLasso.RData'), results_block_compLasso) + + + + + + + + + diff --git a/simulations/code_sim_compare/block_results.R b/simulations/code_sim_compare/block_results.R new file mode 100644 index 0000000..26e98e1 --- /dev/null +++ b/simulations/code_sim_compare/block_results.R @@ -0,0 +1,75 @@ +##################################################################################### +### run all methods on simulated data with block correlation ################## +##################################################################################### +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] + +source('cv_method.R') +source('getStability.R') +source('cv_sim_apply.R') + + +library(FSA) +library(foreach) +library(doParallel) +numCores <- detectCores() - 2 +registerDoParallel(numCores) + +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +## correlation strength +rou.list = seq(0.1, 0.9, 0.2) + +files = NULL +for (rou in rou.list){ + for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep='')) + } +} + + +################## +### Lasso ######## +################## +print('Lasso') +results_block_lasso = foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='lasso') +} + +save(file=paste0(dir, '/block_Lasso.RData'), results_block_lasso) + + +######################### +#### Elastic Net ######## +######################### +print('Elnet') +results_block_elnet= foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='elnet') +} + +save(file=paste0(dir, '/block_Elnet.RData'), results_block_elnet) + +############################ +#### Random Forests ######## +############################ +print('Random Forests') +results_block_rf = foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='RF') +} + +save(file=paste0(dir, '/block_RF.RData'), results_block_rf) + diff --git a/simulations/code_sim_compare/boot_CL_testing.R b/simulations/code_sim_compare/boot_CL_testing.R new file mode 100644 index 0000000..7d66e92 --- /dev/null +++ b/simulations/code_sim_compare/boot_CL_testing.R @@ -0,0 +1,31 @@ +######################################################################################################### +### This is to use bootstrap for testing on compositional lasso ################# +######################################################################################################### + +#args = commandArgs(trailingOnly=TRUE) +#print(args) +#dir = args[1] + +source('cv_method.R') +source('getStability.R') +source('bootstrap_test_compLasso_rf.R') + +dir = '../sim_data' + +toe_lin = boot_stab(num_boot=100, sim_file= paste0(dir, '/sim_toeplitz_corr0.5P_1000_N_100.RData', sep=''), + method= 'compLasso', seednum=31, ratio.training=0.8, fold.cv=10, + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05) + +save(toe_lin, file=paste0(dir, '/boot_toe_compLasso.RData')) + +block_lin = boot_stab(num_boot=100, sim_file= paste0(dir, '/sim_block_corr0.5P_1000_N_100.RData', sep=''), + method= 'compLasso', seednum=31, ratio.training=0.8, fold.cv=10, + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05) + +save(block_lin, file=paste0(dir, '/boot_block_compLasso.RData')) + + + + + + diff --git a/simulations/code_sim_compare/boot_RF_testing.R b/simulations/code_sim_compare/boot_RF_testing.R new file mode 100644 index 0000000..b388b87 --- /dev/null +++ b/simulations/code_sim_compare/boot_RF_testing.R @@ -0,0 +1,32 @@ +######################################################################################################### +### This is to use bootstrap for testing on random forests ################# +######################################################################################################### + +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] + +source('cv_method.R') +source('getStability.R') +source('bootstrap_test_compLasso_rf.R') + +# the function boot_stab is probably upddated to be boot_stab_sim() now + +toe_rf = boot_stab(num_boot=100, sim_file= paste0(dir, '/sim_toeplitz_corr0.5P_1000_N_100.RData', sep=''), + method= 'RF', seednum=31, ratio.training=0.8, fold.cv=10, + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05) + +save(toe_rf, file=paste0(dir, '/boot_toe_RF.RData')) + +block_rf = boot_stab(num_boot=100, sim_file= paste0(dir, '/sim_block_corr0.5P_1000_N_100.RData', sep=''), + method= 'RF', seednum=31, ratio.training=0.8, fold.cv=10, + mtry.grid=seq(5, 25, 5), num_trees = 500, pval_thr = 0.05) + +save(block_rf, file=paste0(dir, '/boot_block_RF.RData')) + + + + + + + diff --git a/simulations/code_sim_compare/ind_results.R b/simulations/code_sim_compare/ind_results.R new file mode 100644 index 0000000..08c4b74 --- /dev/null +++ b/simulations/code_sim_compare/ind_results.R @@ -0,0 +1,101 @@ +##################################################################################### +### run all methods on simulated data with independent correlation ################## +##################################################################################### +args = commandArgs(trailingOnly=TRUE) +print(args) +#dir = args[1] +dir = '../sim_data' + +source('cv_method.R') +source('getStability.R') +source('cv_sim_apply.R') + + +library(FSA) +library(foreach) +library(doParallel) +numCores <- detectCores() - 2 +registerDoParallel(numCores) + +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +files = NULL +for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData')) +} + +################## +### Lasso ######## +################## +print('Lasso') +results_ind_lasso = foreach(i = iter(files)) %dopar%{ + sim_evaluate_cv(sim_file=i, method='lasso') +} + +save(file=paste0(dir, '/independent_Lasso.RData'), results_ind_lasso) + +######################################################### +#### Lasso with default lambda sequence ######## +######################################################### +print('Lasso') +results_ind_lasso = foreach(i = iter(files)) %dopar%{ + sim_evaluate_cv(sim_file=i, method='lasso', lambda.grid=NULL) +} + +save(file=paste0(dir, '/independent_Lasso_lambdaNULL.RData'), results_ind_lasso) + + +######################### +#### Elastic Net ######## +######################### +print('Elnet') +results_ind_elnet= foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='elnet') +} + +save(file=paste0(dir, '/independent_Elnet.RData'), results_ind_elnet) + +########################## ######################### +#### Elastic Net with default lambda sequence ######## +########################## ######################### +this cannot be done, as Elastic Net code requires lambda +print('Elnet') +results_ind_elnet= foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='elnet', lambda.grid=NULL) +} + +save(file=paste0(dir, '/independent_Elnet_lambdaNULL.RData'), results_ind_elnet) + +############################ +#### Random Forests ######## +############################ +print('RF') +results_ind_rf = foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='RF') +} + +save(file=paste0(dir, '/independent_RF.RData'), results_ind_rf) + +############################################################ +#### Random Forests with Janitza permutation method ######## +############################################################ +print('RF') +results_ind_rf = foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='RF', method.perm='janitza') +} + +save(file=paste0(dir, '/independent_RF_janitza.RData'), results_ind_rf) diff --git a/simulations/code_sim_compare/run_block_cv.sh b/simulations/code_sim_compare/run_block_cv.sh new file mode 100755 index 0000000..55e2956 --- /dev/null +++ b/simulations/code_sim_compare/run_block_cv.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N block_cv +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=10 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript block_results.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/code_sim_compare/run_boot_rf.sh b/simulations/code_sim_compare/run_boot_rf.sh new file mode 100755 index 0000000..1ef8143 --- /dev/null +++ b/simulations/code_sim_compare/run_boot_rf.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N boot_rf +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=10 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript boot_RF_testing.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/code_sim_compare/run_ind_cv.sh b/simulations/code_sim_compare/run_ind_cv.sh new file mode 100755 index 0000000..8a56572 --- /dev/null +++ b/simulations/code_sim_compare/run_ind_cv.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N ind_cv +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=10 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript ind_results.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/code_sim_compare/run_toe_cv.sh b/simulations/code_sim_compare/run_toe_cv.sh new file mode 100755 index 0000000..3f4ed44 --- /dev/null +++ b/simulations/code_sim_compare/run_toe_cv.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N toe_cv +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=10 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript toe_results.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/code_sim_compare/toe_results.R b/simulations/code_sim_compare/toe_results.R new file mode 100644 index 0000000..e9102e5 --- /dev/null +++ b/simulations/code_sim_compare/toe_results.R @@ -0,0 +1,74 @@ +##################################################################################### +### run all methods on simulated data with Toeplitz correlation ################## +##################################################################################### +# args = commandArgs(trailingOnly=TRUE) +# print(args) +# dir = args[1] +dir = '../sim_data' + +source('cv_method.R') +source('getStability.R') +source('cv_sim_apply.R') + + +library(FSA) +library(foreach) +library(doParallel) +numCores <- detectCores() - 2 +registerDoParallel(numCores) + +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +## correlation strength +rou.list = seq(0.1, 0.9, 0.2) + +files = NULL +for (rou in rou.list){ + for (dim in dim.list){ + p = dim[1] + n = dim[2] + files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep='')) + } +} + + +################## +### Lasso ######## +################## +print('Lasso') +results_toe_lasso = foreach(i = iter(files)) %dopar%{ + print(i) + sim_evaluate_cv(sim_file=i, method='lasso') +} + +save(file=paste0(dir, '/toe_Lasso.RData'), results_toe_lasso) + + +######################### +#### Elastic Net ######## +######################### +print('Elnet') +results_toe_elnet= foreach(i = iter(files)) %dopar%{ + sim_evaluate_cv(sim_file=i, method='elnet') +} + +save(file=paste0(dir, '/toe_Elnet.RData'), results_toe_elnet) + +############################ +#### Random Forests ######## +############################ +print('Random Forests') +results_toe_rf = foreach(i = iter(files)) %dopar%{ + sim_evaluate_cv(sim_file=i, method='RF') +} + +save(file=paste0(dir, '/toe_RF.RData'), results_toe_rf) + diff --git a/simulations/figures_sim/.DS_Store b/simulations/figures_sim/.DS_Store new file mode 100644 index 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a/simulations/notebooks_simulations/.Rhistory b/simulations/notebooks_simulations/.Rhistory new file mode 100644 index 0000000..605fd2c --- /dev/null +++ b/simulations/notebooks_simulations/.Rhistory @@ -0,0 +1,512 @@ +0.4*M*d +M +D +d +p +sample(1:M*d, p*M*d) +1:M*d +M*d +X_tmp = rep(0, M*d) +prop_1 = seq(0, 1, 0.1) +for (p in prop_1){ +print(p) +index_ones = sample(seq(1, M*d, 1), p*M*d) +print(index_ones) +X_tmp[index_ones] = 1 +X_test = matrix(X_tmp, nrow=M) +print(X_test) +SI = getStability(X_test)$stability +print(SI) +} +prop_1 = seq(0, 1, 0.1) +for (p in prop_1){ +print(p) +index_ones = sample(seq(1, M*d, 1), p*M*d) +print(index_ones) +X_tmp = rep(0, M*d) +X_tmp[index_ones] = 1 +X_test = matrix(X_tmp, nrow=M) +print(X_test) +SI = getStability(X_test)$stability +print(SI) +} +d = 2 # number of features +M = 10 # number of bootstrap replicates +## case 1: when stability index undefined -- X all zeros or all ones (Nogueria2018 p.13) +X_all_missed = matrix(rep(0, M*d), nrow=M) # since K_bar = 0, thus SI undefined +getStability(X_all_missed)$stability +X_all_selected = matrix(rep(1, M*d), nrow=M) # since K_bar = d = 3, thus SI underfined +getStability(X_all_selected)$stability +rep(c(0,1), each=M*d/2) +matrix(rep(c(0,1), each=M*d/2), nrow=M) +Z_half_zero_one = matrix(rep(c(0,1), each=M*d/2), nrow=M) # one column (feature) all zero, the other all one +getStability(Z_half_zero_one)$stability +rep(c(1,2), 3) +d = 10 +i = 2 +sample(seq(1, d, 1), i) +d_ones = sample(seq(1, d, 1), i) +d_ones = sample(seq(1, d, 1), i) +Z_tmp = matrix(rep(0, M*d), nrow=M) +Z_tmp[, d_ones] = 1 +Z_tmp +d = 10 +for (i in 1:d){ +d_ones = sample(seq(1, d, 1), i) +Z_tmp = matrix(rep(0, M*d), nrow=M) +Z_tmp[, d_ones] = 1 +SI = getStability(Z_tmp)$stability +print(i) +print(paste('SI:', SI, sep='')) +} +d = 10 +for (i in 1: (d-1)){ +d_ones = sample(seq(1, d, 1), i) +Z_tmp = matrix(rep(0, M*d), nrow=M) +Z_tmp[, d_ones] = 1 +SI = getStability(Z_tmp)$stability +print(i) +print(paste('SI:', SI, sep='')) +} +d_alt = rep(c(0, 1), M/2) +d_alt +matrix(rep(d_alt, d), ncol=d) +Z_alt = matrix(rep(d_alt, d), ncol=d) +getStability(Z_alt)$stability +-1 / (M-1) +getStability(matrix(c(rep(0, M/2), rep(1, M/2)), ncol=d))$stability +matrix(c(rep(0, M/2), rep(1, M/2)), ncol=d) +c(rep(0, M/2), rep(1, M/2)) +d_alt_2 = c(rep(0, M/2), rep(1, M/2)) +Z_alt_2 = matrix(rep(d_alt_2, d), ncol=d) +getStability(Z_alt_2)$stability +M = 1000 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +getStability(Z_alt)$stability +M = 1000000 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +getStability(Z_alt)$stability +M = 10000 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +getStability(Z_alt)$stability +p = c(0.1, 0.2, 0.7) +si = -sum(p * log(p)) +si +p = c(0.1, 0.4, 0.5) +si = -sum(p * log(p)) +si +p = c(0.1, 0.4, 0.4, 0.1) +si = -sum(p * log(p)) +si +980/437 +437/980 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +M = 10 +d = 10 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +Z_alt +d_alt_2 = c(rep(0, M/2), rep(1, M/2)) +Z_alt_2 = matrix(rep(d_alt_2, d), ncol=d) +Z_alt_2 +M = 10000 +d_alt = rep(c(0, 1), M/2) +Z_alt = matrix(rep(d_alt, d), ncol=d) +getStability(Z_alt)$stability +sum(Z_alt_2)/M +M +sum(Z_alt_2)/10 +d +sum(Z_alt_2)/(10*10) +2728 + 396 * 3 +2628 + 396 * 3 +396*3 +396*6 +1188 + 62 + 5 + 25 +62 + 1 + 2376 + 173 + 1 + 2 +62 + 1 + 173 + 1 +237 + 1188 +1425*2.75/100 +getwd +dir = '~/Study' +paste0(dir, '/', 'sim_data.Rdata', sep='') +N = 100 +R_corr = 0.1 +paste0(dir, '/', paste(paste('sim_dat', 'N', N, 'R_corr', sim_param$R_corr, 'Complete', +sim_param$N_T_mean/sim_param$N_T_max, sep='_'), '.Rdata', sep=''), sep='') +paste0(dir, '/', paste(paste('sim_dat', 'N', N, 'R_corr', sim_param$R_corr, 'Complete', +100, sep='_'), '.Rdata', sep=''), sep='') +paste0(dir, '/', paste(paste('sim_dat', 'N', N, 'R_corr', 0.1, 'Complete', +100, sep='_'), '.Rdata', sep=''), sep='') +paste(paste('sim_dat', 'N', N, 'R_corr', sim_param$R_corr, 'Complete', +sim_param$N_T_mean/sim_param$N_T_max, sep='_'), '.Rdata', sep='') +paste(paste('sim_dat', 'N', N, 'R_corr', 0.1, 'Complete', +100, sep='_'), '.Rdata', sep='') +pwd +pwd() +getwd() +4800 + 1900 +4800 +3400 +40*5*5*4 +40*8*5*4 +6700-3500 +6700-3500 +3300 + 200 + 550 +6700-4050 +200 + 400 + 400 + 100 +setwd("~/Study/thesis/Bayesian/mfpca/sim_barnacle/sim_N100_C100_test") +library(parallel) +library(rstan) +options(mc.cores = parallel::detectCores()) +Nsamples = 1000 +Nchains = 3 +Ncores=Nchains +set.seed(31) +load("sim_dat_N_100_R_corr_0.1_Complete_1.Rdata", dat <- new.env()) +nsims=500 +R_true = dat$sim_param$R_corr +R_mean_list = R_q1_list = R_q9_list = R_q025_list = R_q975_list = list() +wid_80 = wid_95 = rep(0, nsims) # width of credible intervals +cov_80 = cov_95 = rep(0, nsims) # coverage of credible intervals +for (i in 1:nsims){ +print(paste('nsims', i)) +model_file = "../mfpca_zhou_fixed_R_simplest.stan" +smod = stan_model(model_file) +pca_data <- list(N = dat$sim_param$N, P = dat$sim_param$P, K = dat$sim_param$Q, Q = (dat$sim_param$nknots + 4), +theta_mu = dat$sim_param$params[[7]], sigma_eps = dat$sim_param$params[[5]], +Theta = dat$sim_param$params[[6]], D = diag(dat$sim_param$D_true), alpha = t(dat$ALPHA[[i]])) +fit_R_simplest = sampling(smod, data= pca_data, iter=Nsamples, chains=Nchains, cores=Ncores, init="random") +results_80 = summary(fit_R_simplest, pars = c("R[1,2]"), probs = c(0.1, 0.9))$summary +results_95 = summary(fit_R_simplest, pars = c("R[1,2]"), probs = c(0.025, 0.975))$summary +R_mean_list[[i]] = results_80 [, 'mean'] +R_q1_list[[i]] = results_80[, '10%'] +R_q9_list[[i]] = results_80[, '90%'] +R_q025_list[[i]] = results_95[, '2.5%'] +R_q975_list[[i]] = results_95[, '97.5%'] +# check coverage probability & width of credible intervals +wid_80[i] = R_q9_list[[i]] - R_q1_list[[i]] +wid_95[i] = R_q975_list[[i]] - R_q025_list[[i]] +if (R_true <= R_q9_list[[i]] & R_true >= R_q1_list[[i]]){ +cov_80[i] = 1 +} +if (R_true <= R_q975_list[[i]] & R_true >= R_q025_list[[i]]){ +cov_95[i] = 1 +} +} +dat$sim_param$N +34.37 + 37.73 + 16.69 + 34.35 +15.28+15.85+23.44+8.5+40.71+29.96+38.52 +172.26+123.14 +require(gamair) +install.packages('gamair') +require(gamair) +data(engine) +attach(engine) +plot(size, wear, xlab='engine capacity', ylab='wear index') +tf <- function(x, xj, j){df<- xj*0; dj[j] <-1; approx(xj, dj, x)$y} +tf.X <- function(x, xj){ +## tent function basis matrix given data x and knot sequence xj +nk <- length(xj); n <- length(x) +X <- matrix(NA, n, nk) +for (j in 1:nk) X[,j] <- tf(x, xj, j) +X +} +# use a rank k =6 basis, with knots evendly spread over the range of the size data +sj <- seq(min(size), max(size), length=6) +# use a rank k =6 basis, with knots evendly spread over the range of the size data +sj <- seq(min(size), max(size), length=6) ## generate knots +X <- tf.x (size, sj) ## get model matrix +X <- tf.X (size, sj) ## get model matrix +tf <- function(x, xj, j){ +## generate jth tent function from set defined by knots xj +dj<- xj*0; dj[j] <-1 +approx(xj, dj, x)$y +} +tf.X <- function(x, xj){ +## tent function basis matrix given data x and knot sequence xj +nk <- length(xj); n <- length(x) +X <- matrix(NA, n, nk) +for (j in 1:nk) X[,j] <- tf(x, xj, j) +X +} +# use a rank k =6 basis, with knots evendly spread over the range of the size data +sj <- seq(min(size), max(size), length=6) ## generate knots +X <- tf.X (size, sj) ## get model matrix +b <- lm(wear ~ X - 1) ## fit model +s <- seq(min(size), max(size), length=200) ## prediction data +Xp <- tf.x(s, sj) ## prediction matrix +Xp <- tf.X(s, sj) ## prediction matrix +plot(size, wear) ## plot data +lines(s, Xp %*% coef(b)) ## overlay estimated f +## lambda controls the model fit +sj <- seq(min(size), max(size), length=20) ## knots +b <- prs.fit(wear, size, sj, 2) ## penalized fit +plot(size, wear) ## plot data +prs.fit <- function(y, x, xj, sp){ +X <- tf.X(x, xj) ## model matrix +D <- diff(diag(length(xj)), differences=2) ## sqrt penalty +X <- rbind(X, sqrt(sp) * D) ## augmented model matrix +y <- c(y, rep(0, nrow(D))) ## augmented data +lm(y ~ X - 1) ## penalized least squares fit +} +## lambda controls the model fit +sj <- seq(min(size), max(size), length=20) ## knots +b <- prs.fit(wear, size, sj, 2) ## penalized fit +plot(size, wear) ## plot data +Xp <- tf.X(s, sj) ## prediction matrix +lines(s, Xp %*% coef(b)) ## plot the smooth +rho = seq(-9, 11, length=90) +n <- length(wear) +v <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +rho = seq(-9, 11, length=90) +n <- length(wear) +V <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +pplot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +sp <- exp(rho[V == min(V)]) ## extract optimal sp +b <- prs.fit(wear, size, sj, sp) ## re-fit +plot(size, wear, main='GCV optimal fit') +lines(s, Xp %*% coef(b)) +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +V +rho = seq(-9, 11, length=90) +n <- length(wear) +V <- rep(NA, 90) +for (i in 1:90){ ## loop through smoothing params +b <- prs.fit(wear, size, sj, exp(rho[i])) ## fit model +trF <- sum(influence(b)$hat[1:n]) ## extract EDF +rss <- sum((wear - fitted(b)[1:n]) ^2) ## residual SS +V[i] <- n*rss/(n-trF)^2 ## GCV score +} +V +plot(rho, V, type='l', xlab=expression(log(lambda)), main='GCV score') +sp <- exp(rho[V == min(V)]) ## extract optimal sp +b <- prs.fit(wear, size, sj, sp) ## re-fit +plot(size, wear, main='GCV optimal fit') +lines(s, Xp %*% coef(b)) +sp +X0 <- tf.X(size, sj) ## X in original parameterization +D <- rbind(0, 0, diff(diag(20), difference=2)) +diag(D) <- 1 ## augmented D +X <- t(backsolve(t(D), t(X0))) ## re-parametrized X +Z <- X[, -c(1,2)]; X<- X[, 1:2] ## mixed model matrices +## estimate smoothing and variance parameters +m <- optim(c(0,0), llm, method='BFGS', X=X, Z=Z, y=wear) ## Bayesian model +b <- attr(llm(m$par, X, Z, wear), 'b') ## extract coefficients +## plot results +plot(size, wear) +Xp1 <- t(backsolve(t(D), t(Xp))) ## re-parameterized pred.mat. +lines(s, Xp1 %*% as.numeric(b), col='grey', lwd=2) +library(nlme) +g <- factor(rep(1, nrow(X))) ## dummy factor +m <- lme(wear ~ X - 1, random=list(g=pdIdent(~ Z-1))) +lines(s, Xp1 %*% as.numeric(coef(m))) ## and to plot +tf.XD <- function(x, xk, cmx=NULL, m=2){ +## get X and D subject to constraint +nk <- length(xk) +X <- tf.X(x, xk)[, -nk] ## basis matrix +D <- diff(diag(nk), differences=m)[, -nk] ## root penalty +if (is.null(cmx)) cmx <- colMeans(X) +X <- sweep(X, 2, cmx) ## subtract cmx from columns +list (X=X, D=D, cmx=cmx) +} +am.fit <- function (y,x,v,sp,k=10) { +## setup basis and penalties... +xk <- seq(min(x), max(x), length=k) +xdx <- tf.XD(x, xk) +vk <- seq(min(v), max(v), length=k) +xdv <- tf.XD(v, vk) +## create augmented model matrix and response ... +nD <- nrow(xdx$D) * 2 +sp <- sqrt(sp) +X <- cbind(c(rep(1, nrow(xdx$X)), rep(0, nD)), +rbind(xdx$X, sp[1]*xdx$D, xdv$D*0), +rbind(xdv$X, xdx$D*0, sp[2]*xdv$D)) +y1 <- c(y, rep(0, nD)) +## fit model .. +b <- lm(y1 ~ X - 1) +## compute some useful quantities ... +n <- length(y) +trA <- sum(influence(b)$hat[1:n]) ## EDF +rsd <- y - fitted(b)[1:n] ## residuals +rss <- sum(rsd^2) ## residual SS +sig.hat <- rss/(n-trA) ## residual variance +gcv <- sig.hat*n/(n-trA) ## GCV score +Vb <- vcov(b)*sig.hat/summary(b)$sigma^2 ## coef cov matrix +## return fitted model ... +list(b=coef(b), Vb=Vb, edf=trA, gcv=gcv, fitted=fitted(b)[1:n], +rsd=rsd, xk=list(xk, vk), cmx=list(xdx$cmx, xdv$cmx)) +} +am.gcv <- function(lsp, y, x, v, k){ +## function suitable for GCV optimization by optim +am.fit(y, x, v, exp(lsp), k)$gcv +} +require(mgcv) +## mgcv package +library(mgcv) +data(trees) +ct1 <- gam(Volume ~ s(Height) + s(Girth), family = Gamma(link=log), data=trees) +ct1 +plot(ct1, residuals=TRUE) +## use penalized cubic regression splines +ct2 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr'), +family=Gamma(link=log), data=trees) +cts +ct2 +## change dimension of basis (i.e. max df; default is 10) +ct3 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr',k=20), +family=Gamma(link=log), data=trees) +ct3 +## adjust gamma param to avoid overfitting of GCV +ct4 <- gam(Volume ~ s(Height, bs='cr') + s(Girth, bs='cr'), +family=Gamma(link=log), data=trees, gamma=1.4) +ct4 +## same model, different code +ct5 <- gam(Volume ~ s(Height, Girth,k=25), +family=Gamma(link=log), data=trees) +ct5 +plot(ct5, too.far=0.15) +## user tensor product smooth ('te') +ct6 <- gam(Volume ~ te(Height, Girth,k=25), +family=Gamma(link=log), data=trees) +## user tensor product smooth ('te') +ct6 <- gam(Volume ~ te(Height, Girth,k=5), +family=Gamma(link=log), data=trees) +ct6 +plot(ct6, too.far=0.15) +## mix smooth and parametric model +gam(Volume ~ Height + s(Girth), family = Gamma(link=log), data=trees) +labels=c('small', 'medium', 'large') +## change Height to be categorical +trees$Hclass <- factor(floor(trees$Height/10) -5, +labels=c('small', 'medium', 'large')) +ct7 <- gam(Volume ~ Hclass + s(Girth), family=Gamma(link=log), data=trees) +par(mfrow=c(1,2)); plot(ct7,all.terms=TRUE) +anova(ct7) +AIC(ct7) +summary(ct7) +22.5*4*4 +FEAST - a scalable algorithm for quantifying the origins of complex microbial communities +----------------------- +300 * 0.85 +300 * 0.95 +114.32-107.7 +19.05 + 5.40 +9.91 + 21.32 - 22.04 + 20.94 +391.60/5 +library(vegan) +5000/12 +667.5+445 +667.5+445 +300*0.85 +350*0.85 +250*0.85 +325*0.85 +25*0.85 +100*0.85 +299.99*0.9 +299.99*0.95 +30*0.85 +25*0.85 +160*0.85 +25*0.85 +175*0.85 +295*0.85 +50.44+48.92 +41.88+42.61 +41.88+42.61+48.87+42.61+41.88+20.49 +1.24+123.11 +246.05+42.98+8.99+25.74+24.45+15.16+19.83+38.58+25.25+9.89+15.05 +179.92+25.67+114.32+45.21+126.98+109.01+74.85+21.48+6.62+179.92+25.67+7.63+19.99 +19.99+126.98+109.01+7.63+74.85+114.32+21.48+6.62+179.92+25.67 +8.28+44.24+8.28+55.91+2.96+41.38+54.60 +45.16+46.69 +686.47+215.65+91.85 +99.36+19.67+471.97+60 +410+113+1010+705 +25.67+179.92+114.32+21.48+74.85-107.7+15.69+109.01+25.74+45.21+126.98-20.46+19.99+22.27 +3262.33+123.11 +1200+400+3500 +5100+100 +5200+300 ++1000 +1200+400+3500+100 +5200+300 +3800-5500 +1700-500 +1200+400+1000+3500+100+300 +1000+200+400+800+3500+100+300 +15*0.85 +setwd("~/Study/thesis/machineLearning/stability/simulations_2020/code_method") +mf = read.csv('../microbiome_data/mapping_sleep_alpha.txt', sep='\t', row.names='X.SampleID') +dim(mf) # 599 * 79 +mf_sub = mf[, c('AMFVT', 'AMFVT_C1', 'AMAMPT', 'AMAMPT_C1', 'AMPHIT', +'AMPHIT_15SD', 'PQBADSLP', 'SLEEPHRS', 'PQPSQI', 'PQPEFFCY')] +vars_cts = c('AMFVT', 'AMAMPT', 'AMPHIT', 'PQPSQI', 'PQPEFFCY') +mf_sub[vars_cts] = lapply(mf_sub[vars_cts], as.numeric) +## use rarefied OTU table +library(biomformat) +taxa_biom = read_biom("../microbiome_data/mros_deblur_otus_unrare.biom") +taxa_biom = t(as.matrix(biom_data(taxa_biom))) +dim(taxa_biom) # 599 * 70125 +## log transform data +taxa_otus = taxa_biom + 0.5 # replace zero counts by the maximum rounding error 0.5 +taxa_otus = diag(1/rowSums(taxa_otus)) %*% taxa_otus # convert counts to relative abundance +rowSums(taxa_otus) # expect all 1 +taxa_otus = log(taxa_otus) # log transformed +rownames(taxa_otus) = rownames(taxa_biom) +sample_ids = intersect(rownames(taxa_otus), rownames(mf_sub)) +sample_ids = sort(sample_ids) # in alphabetical order +length(sample_ids) +taxa_otus = taxa_otus[sample_ids, ] +mf_sub = mf_sub[sample_ids, ] +dim(taxa_otus)[1] == dim(mf_sub)[1] +dim(taxa_otus) # 599 * 70125 +source('cv_method.R') +#### nothing was selected with compositional lasso ### +fit.compLasso <- cons_lasso_cv(datx=taxa_otus, y=mf_sub$AMFVT, seednum=31) +fit.compLasso$coef.chosen +fit.compLasso$coef.chosen +fit.compLasso +fit.compLasso$MSE +seq(10, 50, 10) +setwd("~/Study/thesis/machineLearning/stability/simulations_2020/notebooks") +source('../code_method/getStability.R') +source('../code_method/cv_method.R') +sim_file = '../sim_data/sim_toeplitz_corr0.3P_50_N_500.RData'; +load(sim_file, dat <- new.env()) +mtry.grid=seq(10, 50, 10) +pdf('../figures_sim/figure_mse_stab_rf_independent_P50_N500.pdf') +for (i in sample(1:100, 2)){ +print(i) +sub = dat$sim_array[[i]] +results = randomForest_double_cv(datx=sub$Z, y=sub$Y, mtry.grid=mtry.grid, fold.cv=5) +print('plot') +plot(results$mtry.grid, results$MSE.value, ylim=c(0,5), +col='green', xlab='lambda', ylab='MSE/STAB', +main=paste('rf_toe_P50_N500_random_', i, sep='')) +points(results$mtry.grid, results$STAB.value, col='red') +legend('topright', c('MSE', 'STAB'), col=c('green', 'red'), pch=c(1,1)) +} +dev.off() diff --git a/simulations/notebooks_simulations/bootstrap_testing.ipynb b/simulations/notebooks_simulations/bootstrap_testing.ipynb new file mode 100644 index 0000000..161884e --- /dev/null +++ b/simulations/notebooks_simulations/bootstrap_testing.ipynb @@ -0,0 +1,2212 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### use bootstrap to perform a testing in comparing compositional lasso vs. random forest in\n", + "#### N = 100, P = 1000, Corr 0.5 For Toeplitz & Block" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/boot_toe_RF.RData')\n", + "load('../sim_data/boot_block_RF.RData')\n", + "load('../sim_data/boot_toe_compLasso.RData')\n", + "load('../sim_data/boot_block_compLasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllll}\n", + " & n & p & rou & MSE & MSE.list\\\\\n", + "\\hline\n", + "\t46 & 100 & 1000 & 0.5 & 0.91 ( 0.04 ) & 1.1101125, 0.6519860, 0.7398478, 1.1498738, 0.9619897, 0.6013746, 1.3625092, 0.3473651, 1.1450087, 0.6678814, 0.2637982, 1.1272821, 0.5100440, 1.1207711, 0.6858812, 0.4732182, 0.4877071, 1.3858793, 0.9285002, 0.8910513, 0.4041991, 0.3094465, 0.7791739, 0.9177788, 1.3679422, 0.3555295, 0.6004392, 0.9110635, 0.6472957, 0.9988893, 2.1903274, 2.5255804, 0.9870283, 1.2731291, 0.6370381, 0.9076340, 0.8604679, 0.7195767, 0.8129923, 0.8024248, 0.9105749, 1.5656134, 0.4518466, 0.5868373, 0.7896528, 1.1223770, 0.2244172, 0.4527471, 1.0980113, 0.8810156, 0.9874237, 1.6133751, 1.7549198, 0.8114664, 0.6056103, 1.2937025, 0.5187529, 0.4362994, 1.0523983, 0.4049739, 0.6115282, 0.7411138, 1.0011934, 0.3509803, 0.5946993, 0.8179413, 0.8536523, 0.5527882, 0.9707325, 1.2802410, 0.9099143, 0.8149918, 1.0858406, 0.8915861, 1.1319847, 0.9534063, 1.8160839, 1.0257458, 0.9344737, 0.6119914, 0.5159076, 0.7852905, 0.4582427, 0.8083787, 1.2116205, 0.5323257, 1.1506337, 0.9291959, 1.6839768, 1.1023322, 1.4818658, 0.7335560, 1.3694255, 0.6343668, 0.5388556, 0.8552869, 2.0695142, 0.5429316, 0.7798566, 1.5607776\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | n | p | rou | MSE | MSE.list |\n", + "|---|---|---|---|---|---|\n", + "| 46 | 100 | 1000 | 0.5 | 0.91 ( 0.04 ) | 1.1101125, 0.6519860, 0.7398478, 1.1498738, 0.9619897, 0.6013746, 1.3625092, 0.3473651, 1.1450087, 0.6678814, 0.2637982, 1.1272821, 0.5100440, 1.1207711, 0.6858812, 0.4732182, 0.4877071, 1.3858793, 0.9285002, 0.8910513, 0.4041991, 0.3094465, 0.7791739, 0.9177788, 1.3679422, 0.3555295, 0.6004392, 0.9110635, 0.6472957, 0.9988893, 2.1903274, 2.5255804, 0.9870283, 1.2731291, 0.6370381, 0.9076340, 0.8604679, 0.7195767, 0.8129923, 0.8024248, 0.9105749, 1.5656134, 0.4518466, 0.5868373, 0.7896528, 1.1223770, 0.2244172, 0.4527471, 1.0980113, 0.8810156, 0.9874237, 1.6133751, 1.7549198, 0.8114664, 0.6056103, 1.2937025, 0.5187529, 0.4362994, 1.0523983, 0.4049739, 0.6115282, 0.7411138, 1.0011934, 0.3509803, 0.5946993, 0.8179413, 0.8536523, 0.5527882, 0.9707325, 1.2802410, 0.9099143, 0.8149918, 1.0858406, 0.8915861, 1.1319847, 0.9534063, 1.8160839, 1.0257458, 0.9344737, 0.6119914, 0.5159076, 0.7852905, 0.4582427, 0.8083787, 1.2116205, 0.5323257, 1.1506337, 0.9291959, 1.6839768, 1.1023322, 1.4818658, 0.7335560, 1.3694255, 0.6343668, 0.5388556, 0.8552869, 2.0695142, 0.5429316, 0.7798566, 1.5607776 |\n", + "\n" + ], + "text/plain": [ + " n p rou MSE \n", + "46 100 1000 0.5 0.91 ( 0.04 )\n", + " MSE.list \n", + "46 1.1101125, 0.6519860, 0.7398478, 1.1498738, 0.9619897, 0.6013746, 1.3625092, 0.3473651, 1.1450087, 0.6678814, 0.2637982, 1.1272821, 0.5100440, 1.1207711, 0.6858812, 0.4732182, 0.4877071, 1.3858793, 0.9285002, 0.8910513, 0.4041991, 0.3094465, 0.7791739, 0.9177788, 1.3679422, 0.3555295, 0.6004392, 0.9110635, 0.6472957, 0.9988893, 2.1903274, 2.5255804, 0.9870283, 1.2731291, 0.6370381, 0.9076340, 0.8604679, 0.7195767, 0.8129923, 0.8024248, 0.9105749, 1.5656134, 0.4518466, 0.5868373, 0.7896528, 1.1223770, 0.2244172, 0.4527471, 1.0980113, 0.8810156, 0.9874237, 1.6133751, 1.7549198, 0.8114664, 0.6056103, 1.2937025, 0.5187529, 0.4362994, 1.0523983, 0.4049739, 0.6115282, 0.7411138, 1.0011934, 0.3509803, 0.5946993, 0.8179413, 0.8536523, 0.5527882, 0.9707325, 1.2802410, 0.9099143, 0.8149918, 1.0858406, 0.8915861, 1.1319847, 0.9534063, 1.8160839, 1.0257458, 0.9344737, 0.6119914, 0.5159076, 0.7852905, 0.4582427, 0.8083787, 1.2116205, 0.5323257, 1.1506337, 0.9291959, 1.6839768, 1.1023322, 1.4818658, 0.7335560, 1.3694255, 0.6343668, 0.5388556, 0.8552869, 2.0695142, 0.5429316, 0.7798566, 1.5607776" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "table_block_compLasso = NULL\n", + "for (i in 1:length(results_block_compLasso)){\n", + " table_block_compLasso = rbind(table_block_compLasso, results_block_compLasso[[i]][c('n', 'p', 'rou', 'MSE', 'MSE.list')])\n", + "}\n", + "table_block_compLasso = as.data.frame(table_block_compLasso)\n", + "rf_block5_compLasso= table_block_compLasso[table_block_compLasso$n == 100 & table_block_compLasso$p == 1000 & table_block_compLasso$rou == 0.5, ]\n", + "rf_block5_compLasso" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.439514359427722" + ], + "text/latex": [ + "0.439514359427722" + ], + "text/markdown": [ + "0.439514359427722" + ], + "text/plain": [ + "[1] 0.4395144" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "0.454598954212658" + ], + "text/latex": [ + "0.454598954212658" + ], + "text/markdown": [ + "0.454598954212658" + ], + "text/plain": [ + "[1] 0.454599" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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    nprouMSEMSE.list
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    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllll}\n", + " & n & p & rou & MSE & MSE.list\\\\\n", + "\\hline\n", + "\t46 & 100 & 1000 & 0.5 & 0.72 ( 0.02 ) & 0.5480701, 0.5456622, 0.6046593, 0.7802792, 0.5564160, 0.8468460, 0.4962066, 0.6002301, 0.7197087, 0.8322002, 0.8370241, 0.7042491, 0.7296914, 0.7883332, 0.7773170, 0.8004030, 0.5738099, 0.7080895, 0.4735798, 0.8907030, 0.4745488, 0.6972922, 0.8183826, 0.5698736, 0.6296879, 0.6939117, 0.8883939, 0.5428835, 1.1874869, 0.6937746, 0.4956598, 0.5523018, 0.8295625, 0.8923571, 1.0726882, 0.6509979, 0.5781111, 0.9521210, 0.5251293, 0.7952157, 0.7322116, 0.6871817, 0.7204011, 1.1810854, 1.1751481, 0.7082380, 0.6971877, 1.0196209, 0.7037824, 0.8105835, 1.1165501, 0.5775225, 0.5665563, 0.7273973, 1.3113648, 0.6025675, 0.8935835, 0.6165939, 0.3838047, 0.6833741, 0.5721250, 0.5478751, 0.5123701, 0.7706215, 1.0321326, 0.7021128, 0.5282792, 0.5642605, 0.7610716, 0.6069513, 0.6572387, 0.8830648, 0.7969348, 0.9412556, 0.5570120, 0.6591877, 0.6899799, 0.5051250, 0.8911872, 0.5656055, 1.0006875, 0.8468315, 0.9820390, 0.6041058, 0.9307259, 0.7710037, 0.5545953, 0.4067023, 0.5719611, 0.4234005, 0.8979186, 0.9248135, 0.5666418, 0.7263402, 0.9324326, 0.4342892, 0.7020636, 0.8808153, 0.6929102, 0.6299956\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | n | p | rou | MSE | MSE.list |\n", + "|---|---|---|---|---|---|\n", + "| 46 | 100 | 1000 | 0.5 | 0.72 ( 0.02 ) | 0.5480701, 0.5456622, 0.6046593, 0.7802792, 0.5564160, 0.8468460, 0.4962066, 0.6002301, 0.7197087, 0.8322002, 0.8370241, 0.7042491, 0.7296914, 0.7883332, 0.7773170, 0.8004030, 0.5738099, 0.7080895, 0.4735798, 0.8907030, 0.4745488, 0.6972922, 0.8183826, 0.5698736, 0.6296879, 0.6939117, 0.8883939, 0.5428835, 1.1874869, 0.6937746, 0.4956598, 0.5523018, 0.8295625, 0.8923571, 1.0726882, 0.6509979, 0.5781111, 0.9521210, 0.5251293, 0.7952157, 0.7322116, 0.6871817, 0.7204011, 1.1810854, 1.1751481, 0.7082380, 0.6971877, 1.0196209, 0.7037824, 0.8105835, 1.1165501, 0.5775225, 0.5665563, 0.7273973, 1.3113648, 0.6025675, 0.8935835, 0.6165939, 0.3838047, 0.6833741, 0.5721250, 0.5478751, 0.5123701, 0.7706215, 1.0321326, 0.7021128, 0.5282792, 0.5642605, 0.7610716, 0.6069513, 0.6572387, 0.8830648, 0.7969348, 0.9412556, 0.5570120, 0.6591877, 0.6899799, 0.5051250, 0.8911872, 0.5656055, 1.0006875, 0.8468315, 0.9820390, 0.6041058, 0.9307259, 0.7710037, 0.5545953, 0.4067023, 0.5719611, 0.4234005, 0.8979186, 0.9248135, 0.5666418, 0.7263402, 0.9324326, 0.4342892, 0.7020636, 0.8808153, 0.6929102, 0.6299956 |\n", + "\n" + ], + "text/plain": [ + " n p rou MSE \n", + "46 100 1000 0.5 0.72 ( 0.02 )\n", + " MSE.list \n", + "46 0.5480701, 0.5456622, 0.6046593, 0.7802792, 0.5564160, 0.8468460, 0.4962066, 0.6002301, 0.7197087, 0.8322002, 0.8370241, 0.7042491, 0.7296914, 0.7883332, 0.7773170, 0.8004030, 0.5738099, 0.7080895, 0.4735798, 0.8907030, 0.4745488, 0.6972922, 0.8183826, 0.5698736, 0.6296879, 0.6939117, 0.8883939, 0.5428835, 1.1874869, 0.6937746, 0.4956598, 0.5523018, 0.8295625, 0.8923571, 1.0726882, 0.6509979, 0.5781111, 0.9521210, 0.5251293, 0.7952157, 0.7322116, 0.6871817, 0.7204011, 1.1810854, 1.1751481, 0.7082380, 0.6971877, 1.0196209, 0.7037824, 0.8105835, 1.1165501, 0.5775225, 0.5665563, 0.7273973, 1.3113648, 0.6025675, 0.8935835, 0.6165939, 0.3838047, 0.6833741, 0.5721250, 0.5478751, 0.5123701, 0.7706215, 1.0321326, 0.7021128, 0.5282792, 0.5642605, 0.7610716, 0.6069513, 0.6572387, 0.8830648, 0.7969348, 0.9412556, 0.5570120, 0.6591877, 0.6899799, 0.5051250, 0.8911872, 0.5656055, 1.0006875, 0.8468315, 0.9820390, 0.6041058, 0.9307259, 0.7710037, 0.5545953, 0.4067023, 0.5719611, 0.4234005, 0.8979186, 0.9248135, 0.5666418, 0.7263402, 0.9324326, 0.4342892, 0.7020636, 0.8808153, 0.6929102, 0.6299956" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "load('../sim_data/toe_RF.RData')\n", + "table_toe_rf = NULL\n", + "for (i in 1:length(results_toe_rf)){\n", + " table_toe_rf = rbind(table_toe_rf, results_toe_rf[[i]][c('n', 'p', 'rou', 'MSE', 'MSE.list')])\n", + "}\n", + "table_toe_rf = as.data.frame(table_toe_rf)\n", + "rf_toe5_rf= table_toe_rf[table_toe_rf$n == 100 & table_toe_rf$p == 1000 & table_toe_rf$rou == 0.5, ]\n", + "rf_toe5_rf" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    nprouMSEMSE.list
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    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllll}\n", + " & n & p & rou & MSE & MSE.list\\\\\n", + "\\hline\n", + "\t46 & 100 & 1000 & 0.5 & 0.96 ( 0.05 ) & 1.1333219, 1.2739089, 0.6735451, 0.7455676, 0.8084525, 0.9115262, 1.1253772, 0.7718239, 0.7704166, 0.9337895, 0.6251795, 1.2304850, 0.9825552, 0.6256884, 0.8465868, 0.8928493, 0.6841306, 0.7445355, 1.0251240, 1.0109804, 0.6584266, 0.6574249, 0.8796538, 0.5822056, 1.8200702, 0.3513984, 0.7348276, 1.9856867, 0.5293853, 1.2169509, 0.4462136, 1.0628981, 1.0927890, 0.7534512, 0.3504197, 0.6451335, 0.7688543, 0.4767431, 1.7155647, 1.6765981, 0.5145321, 0.4758315, 1.9340790, 0.3082418, 0.8707792, 0.8961984, 0.6985983, 1.4072453, 0.3051685, 0.5767318, 0.8742455, 1.1188925, 1.0622541, 1.1897730, 0.7308046, 1.1798550, 0.5843354, 0.6606599, 1.0553048, 1.0076178, 0.6620472, 0.5932031, 1.5098887, 0.9258426, 0.5178589, 0.8255029, 0.7817222, 1.9833525, 0.8742543, 1.0785289, 0.9291164, 0.5450408, 0.9975609, 0.8724312, 0.5304621, 1.0475676, 1.5424944, 1.3738204, 2.1881127, 1.7968121, 0.7707653, 0.5582550, 1.4977663, 0.8136983, 0.5509221, 0.5157933, 1.1241994, 0.5044806, 1.1753270, 0.4650944, 1.0019032, 0.7552821, 0.8536905, 3.1389767, 0.8944839, 0.8503332, 0.9161472, 1.7568389, 0.9580790, 1.2403539\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | n | p | rou | MSE | MSE.list |\n", + "|---|---|---|---|---|---|\n", + "| 46 | 100 | 1000 | 0.5 | 0.96 ( 0.05 ) | 1.1333219, 1.2739089, 0.6735451, 0.7455676, 0.8084525, 0.9115262, 1.1253772, 0.7718239, 0.7704166, 0.9337895, 0.6251795, 1.2304850, 0.9825552, 0.6256884, 0.8465868, 0.8928493, 0.6841306, 0.7445355, 1.0251240, 1.0109804, 0.6584266, 0.6574249, 0.8796538, 0.5822056, 1.8200702, 0.3513984, 0.7348276, 1.9856867, 0.5293853, 1.2169509, 0.4462136, 1.0628981, 1.0927890, 0.7534512, 0.3504197, 0.6451335, 0.7688543, 0.4767431, 1.7155647, 1.6765981, 0.5145321, 0.4758315, 1.9340790, 0.3082418, 0.8707792, 0.8961984, 0.6985983, 1.4072453, 0.3051685, 0.5767318, 0.8742455, 1.1188925, 1.0622541, 1.1897730, 0.7308046, 1.1798550, 0.5843354, 0.6606599, 1.0553048, 1.0076178, 0.6620472, 0.5932031, 1.5098887, 0.9258426, 0.5178589, 0.8255029, 0.7817222, 1.9833525, 0.8742543, 1.0785289, 0.9291164, 0.5450408, 0.9975609, 0.8724312, 0.5304621, 1.0475676, 1.5424944, 1.3738204, 2.1881127, 1.7968121, 0.7707653, 0.5582550, 1.4977663, 0.8136983, 0.5509221, 0.5157933, 1.1241994, 0.5044806, 1.1753270, 0.4650944, 1.0019032, 0.7552821, 0.8536905, 3.1389767, 0.8944839, 0.8503332, 0.9161472, 1.7568389, 0.9580790, 1.2403539 |\n", + "\n" + ], + "text/plain": [ + " n p rou MSE \n", + "46 100 1000 0.5 0.96 ( 0.05 )\n", + " MSE.list \n", + "46 1.1333219, 1.2739089, 0.6735451, 0.7455676, 0.8084525, 0.9115262, 1.1253772, 0.7718239, 0.7704166, 0.9337895, 0.6251795, 1.2304850, 0.9825552, 0.6256884, 0.8465868, 0.8928493, 0.6841306, 0.7445355, 1.0251240, 1.0109804, 0.6584266, 0.6574249, 0.8796538, 0.5822056, 1.8200702, 0.3513984, 0.7348276, 1.9856867, 0.5293853, 1.2169509, 0.4462136, 1.0628981, 1.0927890, 0.7534512, 0.3504197, 0.6451335, 0.7688543, 0.4767431, 1.7155647, 1.6765981, 0.5145321, 0.4758315, 1.9340790, 0.3082418, 0.8707792, 0.8961984, 0.6985983, 1.4072453, 0.3051685, 0.5767318, 0.8742455, 1.1188925, 1.0622541, 1.1897730, 0.7308046, 1.1798550, 0.5843354, 0.6606599, 1.0553048, 1.0076178, 0.6620472, 0.5932031, 1.5098887, 0.9258426, 0.5178589, 0.8255029, 0.7817222, 1.9833525, 0.8742543, 1.0785289, 0.9291164, 0.5450408, 0.9975609, 0.8724312, 0.5304621, 1.0475676, 1.5424944, 1.3738204, 2.1881127, 1.7968121, 0.7707653, 0.5582550, 1.4977663, 0.8136983, 0.5509221, 0.5157933, 1.1241994, 0.5044806, 1.1753270, 0.4650944, 1.0019032, 0.7552821, 0.8536905, 3.1389767, 0.8944839, 0.8503332, 0.9161472, 1.7568389, 0.9580790, 1.2403539" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "load('../sim_data/toe_compLasso.RData')\n", + "table_toe_compLasso = NULL\n", + "for (i in 1:length(results_toe_compLasso)){\n", + " table_toe_compLasso = rbind(table_toe_compLasso, results_toe_compLasso[[i]][c('n', 'p', 'rou', 'MSE', 'MSE.list')])\n", + "}\n", + "table_toe_compLasso = as.data.frame(table_toe_compLasso)\n", + "rf_toe5_compLasso= table_toe_compLasso[table_toe_compLasso$n == 100 & table_toe_compLasso$p == 1000 & table_toe_compLasso$rou == 0.5, ]\n", + "rf_toe5_compLasso" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "0.23096420572779" + ], + "text/latex": [ + "0.23096420572779" + ], + "text/markdown": [ + "0.23096420572779" + ], + "text/plain": [ + "[1] 0.2309642" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "0.521190219773319" + ], + "text/latex": [ + "0.521190219773319" + ], + "text/markdown": [ + "0.521190219773319" + ], + "text/plain": [ + "[1] 0.5211902" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "
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    NPRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_meanmethod
    50 50 1.00 0.37 0.54 ( 0.03 )8.36 ( 0.45 )0.02 ( 0.01 )13.34 0.51 0.54 8.36 0.02 lasso
    100 50 0.50 0.51 0.36 ( 0.01 )5.5 ( 0.42 ) 0 ( 0 ) 10.50 0.37 0.36 5.50 0.00 lasso
    500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 )0 ( 0 ) 7.33 0.15 0.28 2.33 0.00 lasso
    1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 )0 ( 0 ) 6.82 0.10 0.26 1.82 0.00 lasso
    50 100 2.00 0.32 0.66 ( 0.04 )11.1 ( 0.38 )0.08 ( 0.03 )16.02 0.61 0.66 11.10 0.08 lasso
    100 100 1.00 0.46 0.41 ( 0.01 )7.23 ( 0.4 ) 0 ( 0 ) 12.23 0.46 0.41 7.23 0.00 lasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.37 & 0.54 ( 0.03 ) & 8.36 ( 0.45 ) & 0.02 ( 0.01 ) & 13.34 & 0.51 & 0.54 & 8.36 & 0.02 & lasso \\\\\n", + "\t 100 & 50 & 0.50 & 0.51 & 0.36 ( 0.01 ) & 5.5 ( 0.42 ) & 0 ( 0 ) & 10.50 & 0.37 & 0.36 & 5.50 & 0.00 & lasso \\\\\n", + "\t 500 & 50 & 0.10 & 0.79 & 0.28 ( 0 ) & 2.33 ( 0.14 ) & 0 ( 0 ) & 7.33 & 0.15 & 0.28 & 2.33 & 0.00 & lasso \\\\\n", + "\t 1000 & 50 & 0.05 & 0.86 & 0.26 ( 0 ) & 1.82 ( 0.13 ) & 0 ( 0 ) & 6.82 & 0.10 & 0.26 & 1.82 & 0.00 & lasso \\\\\n", + "\t 50 & 100 & 2.00 & 0.32 & 0.66 ( 0.04 ) & 11.1 ( 0.38 ) & 0.08 ( 0.03 ) & 16.02 & 0.61 & 0.66 & 11.10 & 0.08 & lasso \\\\\n", + "\t 100 & 100 & 1.00 & 0.46 & 0.41 ( 0.01 ) & 7.23 ( 0.4 ) & 0 ( 0 ) & 12.23 & 0.46 & 0.41 & 7.23 & 0.00 & lasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.37 | 0.54 ( 0.03 ) | 8.36 ( 0.45 ) | 0.02 ( 0.01 ) | 13.34 | 0.51 | 0.54 | 8.36 | 0.02 | lasso |\n", + "| 100 | 50 | 0.50 | 0.51 | 0.36 ( 0.01 ) | 5.5 ( 0.42 ) | 0 ( 0 ) | 10.50 | 0.37 | 0.36 | 5.50 | 0.00 | lasso |\n", + "| 500 | 50 | 0.10 | 0.79 | 0.28 ( 0 ) | 2.33 ( 0.14 ) | 0 ( 0 ) | 7.33 | 0.15 | 0.28 | 2.33 | 0.00 | lasso |\n", + "| 1000 | 50 | 0.05 | 0.86 | 0.26 ( 0 ) | 1.82 ( 0.13 ) | 0 ( 0 ) | 6.82 | 0.10 | 0.26 | 1.82 | 0.00 | lasso |\n", + "| 50 | 100 | 2.00 | 0.32 | 0.66 ( 0.04 ) | 11.1 ( 0.38 ) | 0.08 ( 0.03 ) | 16.02 | 0.61 | 0.66 | 11.10 | 0.08 | lasso |\n", + "| 100 | 100 | 1.00 | 0.46 | 0.41 ( 0.01 ) | 7.23 ( 0.4 ) | 0 ( 0 ) | 12.23 | 0.46 | 0.41 | 7.23 | 0.00 | lasso |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN num_select FDR \n", + "1 50 50 1.00 0.37 0.54 ( 0.03 ) 8.36 ( 0.45 ) 0.02 ( 0.01 ) 13.34 0.51\n", + "2 100 50 0.50 0.51 0.36 ( 0.01 ) 5.5 ( 0.42 ) 0 ( 0 ) 10.50 0.37\n", + "3 500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 ) 0 ( 0 ) 7.33 0.15\n", + "4 1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 ) 0 ( 0 ) 6.82 0.10\n", + "5 50 100 2.00 0.32 0.66 ( 0.04 ) 11.1 ( 0.38 ) 0.08 ( 0.03 ) 16.02 0.61\n", + "6 100 100 1.00 0.46 0.41 ( 0.01 ) 7.23 ( 0.4 ) 0 ( 0 ) 12.23 0.46\n", + " MSE_mean FP_mean FN_mean method\n", + "1 0.54 8.36 0.02 lasso \n", + "2 0.36 5.50 0.00 lasso \n", + "3 0.28 2.33 0.00 lasso \n", + "4 0.26 1.82 0.00 lasso \n", + "5 0.66 11.10 0.08 lasso \n", + "6 0.41 7.23 0.00 lasso " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ind = read.csv('../results_summary/table_ind_all.txt', sep='\\t')\n", + "head(ind)" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_meanmethod
    50 50 0.1 1.00 0.36 0.62 ( 0.04 )8.59 ( 0.46 )0.02 ( 0.01 )13.57 0.51 0.62 8.59 0.02 lasso
    100 50 0.1 0.50 0.47 0.37 ( 0.01 )6.3 ( 0.43 ) 0 ( 0 ) 11.30 0.40 0.37 6.30 0.00 lasso
    500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 )0 ( 0 ) 7.88 0.20 0.28 2.88 0.00 lasso
    1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 )0 ( 0 ) 6.66 0.08 0.27 1.66 0.00 lasso
    50 100 0.1 2.00 0.32 0.67 ( 0.05 )11.84 ( 0.4 )0 ( 0 ) 16.84 0.62 0.67 11.80 0.00 lasso
    100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 )0 ( 0 ) 12.71 0.46 0.40 7.71 0.00 lasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.36 & 0.62 ( 0.04 ) & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 13.57 & 0.51 & 0.62 & 8.59 & 0.02 & lasso \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.47 & 0.37 ( 0.01 ) & 6.3 ( 0.43 ) & 0 ( 0 ) & 11.30 & 0.40 & 0.37 & 6.30 & 0.00 & lasso \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.73 & 0.28 ( 0 ) & 2.88 ( 0.21 ) & 0 ( 0 ) & 7.88 & 0.20 & 0.28 & 2.88 & 0.00 & lasso \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.89 & 0.27 ( 0 ) & 1.66 ( 0.11 ) & 0 ( 0 ) & 6.66 & 0.08 & 0.27 & 1.66 & 0.00 & lasso \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.32 & 0.67 ( 0.05 ) & 11.84 ( 0.4 ) & 0 ( 0 ) & 16.84 & 0.62 & 0.67 & 11.80 & 0.00 & lasso \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.44 & 0.4 ( 0.01 ) & 7.71 ( 0.56 ) & 0 ( 0 ) & 12.71 & 0.46 & 0.40 & 7.71 & 0.00 & lasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.36 | 0.62 ( 0.04 ) | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 13.57 | 0.51 | 0.62 | 8.59 | 0.02 | lasso |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.47 | 0.37 ( 0.01 ) | 6.3 ( 0.43 ) | 0 ( 0 ) | 11.30 | 0.40 | 0.37 | 6.30 | 0.00 | lasso |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.73 | 0.28 ( 0 ) | 2.88 ( 0.21 ) | 0 ( 0 ) | 7.88 | 0.20 | 0.28 | 2.88 | 0.00 | lasso |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.89 | 0.27 ( 0 ) | 1.66 ( 0.11 ) | 0 ( 0 ) | 6.66 | 0.08 | 0.27 | 1.66 | 0.00 | lasso |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.32 | 0.67 ( 0.05 ) | 11.84 ( 0.4 ) | 0 ( 0 ) | 16.84 | 0.62 | 0.67 | 11.80 | 0.00 | lasso |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.44 | 0.4 ( 0.01 ) | 7.71 ( 0.56 ) | 0 ( 0 ) | 12.71 | 0.46 | 0.40 | 7.71 | 0.00 | lasso |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 ) 13.57 \n", + "2 100 50 0.1 0.50 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) 11.30 \n", + "3 500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 ) 0 ( 0 ) 7.88 \n", + "4 1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) 6.66 \n", + "5 50 100 0.1 2.00 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) 16.84 \n", + "6 100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) 12.71 \n", + " FDR MSE_mean FP_mean FN_mean method\n", + "1 0.51 0.62 8.59 0.02 lasso \n", + "2 0.40 0.37 6.30 0.00 lasso \n", + "3 0.20 0.28 2.88 0.00 lasso \n", + "4 0.08 0.27 1.66 0.00 lasso \n", + "5 0.62 0.67 11.80 0.00 lasso \n", + "6 0.46 0.40 7.71 0.00 lasso " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "toe = read.csv('../results_summary/table_toe_all.txt', sep='\\t')\n", + "head(toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_meanmethod
    50 50 0.1 1.00 0.05 0.36 ( 0.01 )3.52 ( 0.22 )4.92 ( 0.08 )3.60 0.65 0.36 3.52 4.92 lasso
    100 50 0.1 0.50 0.18 0.31 ( 0.01 )2.71 ( 0.25 )4.4 ( 0.1 ) 3.31 0.42 0.31 2.71 4.40 lasso
    500 50 0.1 0.10 0.35 0.29 ( 0 ) 5.42 ( 0.25 )1.97 ( 0.11 )8.45 0.48 0.29 5.42 1.97 lasso
    1000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 )8.34 0.44 0.28 4.91 1.57 lasso
    50 100 0.1 2.00 0.06 0.37 ( 0.02 )4.73 ( 0.22 )4.79 ( 0.08 )4.94 0.72 0.37 4.73 4.79 lasso
    100 100 0.1 1.00 0.13 0.34 ( 0.01 )3 ( 0.15 ) 4.75 ( 0.09 )3.25 0.57 0.34 3.00 4.75 lasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.05 & 0.36 ( 0.01 ) & 3.52 ( 0.22 ) & 4.92 ( 0.08 ) & 3.60 & 0.65 & 0.36 & 3.52 & 4.92 & lasso \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.18 & 0.31 ( 0.01 ) & 2.71 ( 0.25 ) & 4.4 ( 0.1 ) & 3.31 & 0.42 & 0.31 & 2.71 & 4.40 & lasso \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.35 & 0.29 ( 0 ) & 5.42 ( 0.25 ) & 1.97 ( 0.11 ) & 8.45 & 0.48 & 0.29 & 5.42 & 1.97 & lasso \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.44 & 0.28 ( 0 ) & 4.91 ( 0.2 ) & 1.57 ( 0.09 ) & 8.34 & 0.44 & 0.28 & 4.91 & 1.57 & lasso \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.06 & 0.37 ( 0.02 ) & 4.73 ( 0.22 ) & 4.79 ( 0.08 ) & 4.94 & 0.72 & 0.37 & 4.73 & 4.79 & lasso \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.13 & 0.34 ( 0.01 ) & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 3.25 & 0.57 & 0.34 & 3.00 & 4.75 & lasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.05 | 0.36 ( 0.01 ) | 3.52 ( 0.22 ) | 4.92 ( 0.08 ) | 3.60 | 0.65 | 0.36 | 3.52 | 4.92 | lasso |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.18 | 0.31 ( 0.01 ) | 2.71 ( 0.25 ) | 4.4 ( 0.1 ) | 3.31 | 0.42 | 0.31 | 2.71 | 4.40 | lasso |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.35 | 0.29 ( 0 ) | 5.42 ( 0.25 ) | 1.97 ( 0.11 ) | 8.45 | 0.48 | 0.29 | 5.42 | 1.97 | lasso |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.44 | 0.28 ( 0 ) | 4.91 ( 0.2 ) | 1.57 ( 0.09 ) | 8.34 | 0.44 | 0.28 | 4.91 | 1.57 | lasso |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.06 | 0.37 ( 0.02 ) | 4.73 ( 0.22 ) | 4.79 ( 0.08 ) | 4.94 | 0.72 | 0.37 | 4.73 | 4.79 | lasso |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.13 | 0.34 ( 0.01 ) | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 3.25 | 0.57 | 0.34 | 3.00 | 4.75 | lasso |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.05 0.36 ( 0.01 ) 3.52 ( 0.22 ) 4.92 ( 0.08 ) 3.60 \n", + "2 100 50 0.1 0.50 0.18 0.31 ( 0.01 ) 2.71 ( 0.25 ) 4.4 ( 0.1 ) 3.31 \n", + "3 500 50 0.1 0.10 0.35 0.29 ( 0 ) 5.42 ( 0.25 ) 1.97 ( 0.11 ) 8.45 \n", + "4 1000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 ) 8.34 \n", + "5 50 100 0.1 2.00 0.06 0.37 ( 0.02 ) 4.73 ( 0.22 ) 4.79 ( 0.08 ) 4.94 \n", + "6 100 100 0.1 1.00 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 ) 3.25 \n", + " FDR MSE_mean FP_mean FN_mean method\n", + "1 0.65 0.36 3.52 4.92 lasso \n", + "2 0.42 0.31 2.71 4.40 lasso \n", + "3 0.48 0.29 5.42 1.97 lasso \n", + "4 0.44 0.28 4.91 1.57 lasso \n", + "5 0.72 0.37 4.73 4.79 lasso \n", + "6 0.57 0.34 3.00 4.75 lasso " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "block = read.csv('../results_summary/table_block_all.txt', sep='\\t')\n", + "head(block)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "16" + ], + "text/latex": [ + "16" + ], + "text/markdown": [ + "16" + ], + "text/plain": [ + "[1] 16" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "80" + ], + "text/latex": [ + "80" + ], + "text/markdown": [ + "80" + ], + "text/plain": [ + "[1] 80" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "80" + ], + "text/latex": [ + "80" + ], + "text/markdown": [ + "80" + ], + "text/plain": [ + "[1] 80" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# how many simulation scenarios (divide by number of methods = 4)\n", + "nrow(ind)/4; nrow(toe)/4; nrow(block)/4" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figure 1: conflict in MSE vs. Stab" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "ind$Ratio = as.factor(ind$Ratio)\n", + "toe$Ratio = as.factor(toe$Ratio)\n", + "block$Ratio = as.factor(block$Ratio)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "ind_mse_fpr <- ggplot(ind, aes(x=FDR, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.8) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Independent Correlation', x='False Positive Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "ind_stab_fpr <- ggplot(ind, aes(x=FDR, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.8) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Independent Correlation', x='False Positive Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "toe_mse_fpr <- ggplot(toe, aes(x=FDR, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Toeplitz Correlation', x='False Positive Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "toe_stab_fpr <- ggplot(toe, aes(x=FDR, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Toeplitz Correlation', x='False Positive Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + " \n", + "block_mse_fpr <- ggplot(block, aes(x=FDR, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Block Correlation', x='False Positive Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "block_stab_fpr <- ggplot(block, aes(x=FDR, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Block Correlation', x='False Positive Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Removed 4 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 4 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 4 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 20 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 20 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 20 rows containing missing values (geom_point).”Warning message:\n", + "“Removed 20 rows containing missing values (geom_point).”" + ] + }, + { + "data": { + "image/png": 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8fjqRKJBx54QE477TS5/vrrTfmXX35ZHnnkEXnjjTfM9ltvvSVFRUXy5ptvSvPm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JTNm6das61Rzrv/rqK7nrrrvUvj7w98zF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Cnmk5/8pCVrJA7hkkiQuI8EkufyHL8kOw4i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2YyRI3adAvxfCjIwhTXTiHYgZ6vWURShioopVBZ\nba3Dmyj62gZzboL5A/c1itwb8U0hFLvY03pzDL4HwgQ5fvt68+x39O2FZOlTjcuuTSawOwhP\ni143q3ERAkk4rWo4k+0131HTO6FUV3wTZU5gSHqgERCN8nsvlCb8q1/9qv3Kr/yKffd3f7f9\n6I/+6KzrVIa9uU16RwVu57bz0kdzO0u/pyNwLiOAjFWccHj0SWQDcpAm77BAUha8JBElQ0nc\n2gPt7oCVsDEiOl02zD2ckhlFe/A0ycPDykbw4ttq5i/rUglhgfyuNeSOdALUXv5wQPRPo5CV\n/pVOUpNQ8v3UO5vRn+J2fJ4hfch/daEU4d60XoZo+lCWTp201knUZdBTShteQRgGeIpCjEyx\nVgjY4U4LNW/BoBRWx/EgUaKBdWPhZjKP4gWaPGWlNrw++hcRTkECHdmkptEjbZX9GMVIgkTC\nHUYS2XwKqh7ZSiXVw25PGKEkCyXoeTFxqHlq3TXHh20l4Go4c52N5ZjD1VvtKumFcy4ytxzB\n4KnaemU+lwkILYxnbONAxVYTk1wKTlp/x2EbaIHazf4y0mSKnB+ZdqphCz4vQJmuG503ig4a\nI77sBmiRA4ORfaM6bd2Av2s7V9jm9tXoxmXWBv1c2z4bW11zPhsv/dyv2UEIN5kHy/PgVQju\n9Ro5TPrc8iGQooebyZo/ZNzUsmhombKLBUzGBYqSFqCcFRzpDSXtgIcvomjV3NPJlrPfY4Cd\nitaGK7F879nrHiNT0LuoeoPU1CERQbAC6zvAIeghbmbdutkdnOGbYoZqEuYMG5ztYsZD6T49\ny5qohIq3usDNvXoqwtvK5L+xyfrLhNapfQInAiaAEHn7MlsppCnvjuKGWOfCVeYjgVtJWCbZ\nmY0bfHsHPEm/EszyPul31nXNaUpXndm+A1ob/Q4Qg0R//vsTyOqUS6xSoreFil9TFjkBFs5J\njVUGm4zjAjKw7uTyk1aldpFiPTwjGKczq+n6uLcEwv0aZ62sf5GS0H0lBcNk3WkPLPIMQyhF\nB5WJBG7cX/u5pmlc+PRngRpZrQSMtLt7kPhe4TkoK64Ky5i8Ikqr2sxYjTIeAWPRrWtlh1DA\nDOUT8X1oinSlY3iRShDqyvhOJMCnqQ+EZW4UZTC1LPJ02mUCWwqM/bqj+224dbt9bWDQM8cd\nwgPWg9VzI+MxURqzB048YIOjuzFM3EeQ8YNcK7QJuOlATqO8H9+pFeFJEI7ZVBGwW1iHVa3V\nmnDftKC8gtJhy47dZbmVb7KvcwxlpJP1rYxCU50KTu+MTdzwZb1t1jQS2EThQeTAo2w7apMF\nvIVxu3UP3kahwmGbbD7MMPCDQ81QUVgp5SoARpZGR0qMHWobWt5agNYt1OY4wbhwz5GZjgeK\nz1DgKH7YMX6dDTRhqZR1cnQNirzZs9gF8NJFeQzxDKkFVZH5ZDNlf/1g/vNy78iTBEiauQXw\nNMXiS04jO/RTce/5pjw603wQQJK+VMIGOd90un7KLJsCW4qGp3Tfasl+tW9X7t/1GKxE0X70\n0Uc9fklnqqQNmlw0xiU1XsGXv/xl+8AHPuBZ777jO76jcZV//rmf+znv6/Wvf/3Mut27d5+x\nv5mN0g/pCFymEZCBNr/8uE3uh/rfLE91vSFCsCtBseOZbmFegjdC8UVw7ZItZr/jRVJ8dszc\nw/UMz1Gi457eEL2BLBW12Jv0jQCQ9KvmTi6jWKa5k5reZbATwNE+PK+uz9lEPUTIZ52vtvY9\n9IU+1W3EtqrhF9epcqxhW9Gbmceh87MYi1Qo1r1IBFUmfQCr2JlzQW9ojwyyMVs6yEAwBlXk\nLVzEEgaoANnbQnHvDNk/m0rDFASfBvCcIm4J/YaHpykCrFQO4rSHes81kKTPM9rFuOWz0TjM\ngSkAG/sSpzSe2WAt1ZN2imVDOQzbfmQu2d9jjy1SIiAVMJeRc/lI0W46Sj/BMDX1KojyLts+\nstW6209Sw2mvlfL7uLbjnCvarwI1snQNw8zvkyN7bP5JqH1FuxcvYRNUypbm9fTZbPeemLYV\n/Axb8Sota+q0bT232sae261ViPhZ1FKAdA4/di2HPk+dJttYqX2CK++ArB8SBEljgu1Pp77L\nQ6GJOt6diAm5B7NrctvQRIGKHnkIgMNEn4cxAOxkbrq5Biwatks+xiQ+8AQIcmWLPiVARXOq\nnyh7qmGEUJEHRCApu1SAhHvcs5YpMUHd1Z4c84zvEkSiHUlwaSLe0NwLA79ZywPy8/s287nd\nG/Y5248B/clKNQMSdO5QuJR6WnFeOnbM5NZ/nzoYkcAWSLHlPRYxhiF0yZiJsICRPIJJbR95\n/8RsjkVfBHw6dUDjzVIplMascjPnDfDIyBtI0gFdv1Mu8dKEAiSAKgehyXnM7ARWmeAUoYXl\nBp+y+MQRJvjErLUNWL5rhZUGyDC0ljGs6xPtpt/aqRFKggGNbVbjXvRU3px/DMjwTHLScqrX\npQQjWI1U5C/GszSjhBo6kGI5U9PUXdYvgSNZ7kooNrdUsWwaL1oBwKnnRF4XxdSEFBRUamrR\n3lqhnsU8D03Dg5wL1jhRDEdboI6xvofzEwMbEFBtYj/eW0cLNtFctuZW7itAU7Gn05omTtpy\neO6fg0a6g/2v5d6XUhubPGwPHP0PGyDFWrmIVxalFSLwy0GnK0eBomYUTxy2Qn1gJg9wCogb\nqhYPgQc2oX9bPMC1NYO3d+Jhay4DZMapMVHEOtcFYOC5TBIznGlscgC81UOkW4Uy0VzhGjG9\nBiRkiEm2EFMhvcK4dg1vJSvSQzzmUr5S4jp7yQ7GRmgDhc0g8I2A6PGV/NU583yh0kWvq9Jn\nWMaQEeH5qnRRn2MjY8UY4jmK8kUUOdcF2BL+ImqJdylx7mEUvCdn8BkEh1BAs9Co5FYt1ROH\n5Rj8TkHMhIJVM/cbm6LrvYlup8QNOtUsp5FBlAksCcjDNPEqB9pQ8x0tv9KbvD2veMUr7JOf\n/KSpkKvAkjLYvfKVr/RitDp/pfFW0ddXvepVpqx3v/Ebv2G7du2yzZs3m4BP0lQEdhlyXlnt\n/uIv/sJuueUWLzj72c9+1p544gmPQUq2Td/TEbiSRkCU//zt11rr0P02gdytIl9wKiAPUItM\nC2QYwR8BeFpjOYBC4A93IkxmX0mA0UG0fyVHqokZCZP6ttJDeOFRtLV5lHShZJCMkwI+MlTC\nKKgBIJZpvfaVDhdUkB71xrp6l/L0eCwoywV11J9WyXMU1b1NbnzSMgkmmtgOknM5rrOE58oh\nE9cU6aIdkvBXoEoJa5C/Et4RAC039RjnQiFtWAFj4hATgxTiNcpiGSoQW5rF0hnRj0o4VAV8\nqsco5QA4gvbWHkyg4zEcIsczEboYABaxH6Yujol+iWF6AJk2Fj9HJr8R68/djv5q9rMRzVvz\nHBU1l27tmei3O47o3Cs20iJDacFWTHbZsrEmdNBa6+saI2vpKjvQswciwZht7L0WKjbjyvYV\n22GDzatt/+q9HB+gB5eyMrWf4WdsM8uggxfsAPq5i3jV/z32FYqjt9mNa15sN6x9pS1v38JP\n1DAR0WA+A1td3T0Dr+xiXhIPtrwC8bFj/vCH2/BE4E7Wwy2LiAIHldrbQRHxAUEPXoL/z957\nBUl2Znd+J+9N78r7qq6q7q728HYG48hZw3EktbtarSK4EQxKehNf9KRXvvCZEXqWIiSFFLHa\n4GpFSTvUOI4FMANgALQB0K66uru8z8pKn3lTv/+XmdXVhe5G9zgCZH5Adbprv3vvOed/zv+c\no0cWuoaMUkVTHpQTFNyatwBwpKICGqoEo/wZ//SZB55NiIdekQMnvdpCorUg3yma1R4hHS9V\nVx57IGg8wFSwsAA97SEeos7GAIkBx9nEYHBeH4xgrx8PvMCZ+L4cnxqC+gIiDAGWEGBJhSk+\nVpGts81f5ZVjdlEaCT5ZbQhm5V85sCaOAMeheXCfj24fY13UP437prGzHIDJ5TcRDXJzragR\n+3FzT/5XAzDgYxQdbJvzbQqEAJ4lpx2NDnqfIoefNASc/Y07VmZVMjYxeqEk7ngW2btLaXmA\nVmMag/XetdX23FyTExVwzx1QF3kfACAcKNJ5M++OStX2voWUFwdIarItV2lISunI0DRyRx/5\ntvVR/Rw0asyDEkV1RDFeKwKGCO4UlXUqgMwGc0cDcytwXwgKeLxWdT2ImjW4PxpSlJs7NrBf\ntGqC6A7rBilocjuxFm0CIrgPuC0xH+gwjHwOu7cKPS5qG1ev2v4JEls5N+X8eLUlu7L4bVvB\neA/w4qm7uge9QaUOpFQk0GtOIQq00XQVBVUJ9XOOPI8AkEp5kaIR05bmuHbJUfKLAJr3y3Zs\nf8pOcgzFFUq9jjLPWY7/ESMGmIpXb0NfyBGV0jXk4AEd6f0hgMwoVbXZn5qwhjcsl30H7IKD\nQxaERue+0owyV1xwABAVpSBGNMVVQ+lKoScKk5bNnYW2N+buMY/cJ78uwIQnlGXD1SzzoSgT\n2+XYO1fR7UbASYR2fXC3EpMqUMR3Ak/uSDTRWkS/s7LWd9/zWXqxoxv1uKlKnWyEKIFQZ0u4\nbepk+MzvrldS6+On+l/1NPqLv/gL12NJxRoEbP78z//84Ji/973vuRLeAkgquCA63ne/+133\nd7AQb9Sk/Bvf+IYpqqT8pD/7sz/DnqMaIdtUkYbDdLrD63Xfd2fg0zADSgVIvTpn0YuKPvRD\nrwtbYQVVAhu9Jt8tI5qh7cLUDoId2eYqubW+v+9fhIR3/KQTHCrS497I4Sr5L9mSVjiKVznw\nkFHS0QdDsk96VnaUHNEs16gR5ZZ8kpcGtSF/tBNKyHYBKFdQh9XqyLEOpa+BXhNDgb20FtUr\nUR1F7J2ji3X1n8d3uOyc467J8Sl/ya3Daxh5WxUN2QlDxZjKDjSFQiPkkhLFF/0OGnSzsso2\n0gCMPtovLPM99DzJ3uYqehLlRRRJWrABQ0EFerQLiHLueCQ447aJRgJgcY7lEIWliEaNVH6G\nXt2yu5Hf59igiOuUdcw44Z7b8Oz4poDQSctTcXC3SS9BFujfoxFtdJ5l+y1PIZ8gtG9n1o5x\nHKQLeKtWisNqcVMXtsHicYuuh2xt8AMYFnEKDqFDcORGRAmHfq5Gu3nshAr6YItKPLep/vr6\n/P9h04Mv2tnxr9nJwVesR9G0f6Dj41bRP5AT/dM//VPT329juH436j9Dc0vLYFjr4RZ39/o1\nvPEYndqpIhFEAkSTcw00+dYZtqKbPfv8IQ/IvSNUdMLDG34wVKb5ERWUQsppwkAP4UV3hrtW\nlJARvUl0rvZo8tlUVezokHeH75xR7QTCvQUELpqLiw7oHRjd935uvUNwNW7Nwx7CbaxomI6X\n/Yu2pu+84ycQoDRXHYHqJ2pde6gQgaPZKYzuPDudX57s1YFQonJuELVwETSErYCZ5iQEKGkN\nJJEiJgJpvoTlkw0BGxeJ0WwJaLSHoi8mOqJodLrO2h9z6nLBNLcCHawSUqRPxzc904pKdTZw\n9BXBF1pdIGcF4lXfKAJz3nn9ZRSX9yOWzG+jTHDjQZc8PDrb9rgWTRVbQLk0V1FI8sIRIj8Y\nMlzL3Bt9JNBOTHJtEJiA+gbFLeBkfRy0oxB0W7j7+WAjeiMPlhRFKwdJM+ohVAvMbYVz6OUY\nZH8XeS7C3COu4R7HUmWZDL8XmZc6v5W4dqLlBXi9UgCu5N4OfO6SbaVi3EoN6y/ELQJQURQp\nmo9AqavbFsUZ9gAKW3gXe6gOmOD5uMz1XqeUdn33O7aN4ggAP6kmpdHxgtUg0TcBBKJROFWo\n68FJ1UUNodyqZzloD3pWEii3AqVVd6lQ1G+pIGm9Sy/aXrhq+d6KJTk3v+Db1EKvbZzKWTnB\n803OkI+iUxVLH/54iO3pOUzmc4Ca80RRiDzWV/i9bL25cyTnjrEvmrxSipve59aTx5sHYFod\n+k8UlgNQa2oPBs8xClaKuu7vw02f4rxIFuaapIqnLFk4gWdwB847Dhe+q/l5omrjKEH6YVA+\nVsq8CQAKxKtHybV6YDEDfBeSgeJQDxdXkSq+E6VOoEe/d4ZzOHQ+6JXF2ex9Q59FtRMwkgGF\nneGoOA4o6cZgc4owfRaGKpn+1V/9FaJrDzHhU1jrkCzmBNSgtjP+5E/+xPT3qKG2E3/5l3/p\nok5qJaHqdh+b00dtoPtbdwb+nmZAebRh9LN3c96q5KFEUtB1EUkIfRdFVguCoH/S/K3rjp7u\n9P+DjhVZ75086UBKaHkRpgZyE4edq8jqEA4iAt0YkrNOO0DG3Bt8cIAK+UQOqHt2pFOllKS3\naGUgZ5z7LBuM9ZVLJLFTB1yJ0SCHnXRQQ54ahnKV4ggsXI446ihmoOURYtq2BwiQZNQxeM5R\nhC2DABMNrwR1jY5GfEIe08jb+Y8o9uAo0krU0nFLFgJigqic0XzgmEIsEwTSdwlH7g4TTQqp\niZwEJOH5KPm1HUaS8oHVCByhTcToLscCLRzAEiEnqbd6xdYjX7F0+VlL5KftBAUyehortpqG\nmg5jQG1lR3eHONd9dAG6EJuBjDIAHBWWodIlqqcAPTFb773D5mUTEKlCT9Yj16x/fwRHHcfM\neoHmgilFo1Dsh6UQ3nA+YIgwq8yRYlvblbu2sLdkP73zI2T/rKUG/7mdHn7VznM/XIDFokqv\n/1DGP1iA9Fu9QDKKZQArYqQHU3QxvImu14wMQnnFNTDiRGWSISoB0hSQIaqgMtFa1tG79LC3\nhysLrfLTLgeIL+U9IdrysKHiA94s0av5mxhiUMyI5Djhw7ZdDx6tiACR0RyePX6wGRn7TYo3\nNAB4jm5Djot/+rSj9B0sJKF16pQ1L19ugZgHAAtFjhw4Iip2MDQfonqxD0XEfPqKeHj5Dw8J\nR2/muDWuX3VV3g5ocYcXetR7CTyEbYg8K+cp0rLMo0ChM+8ESM6da4XqmZdA0ZIoxROYl19l\ntKKBPPRQw+4bjm/E+SLEXS4YIKl5+3arXLY42IcWdsUZiAba3KmPA5H2cq60d27H6tkJqALQ\nAjBePZAGMpzwPQqJqmsBJTr9IwBJqzuFc3KOnkcLrnCIq+DTBqyOtiCjWJxxKQKuqzxb9Tde\nd/Mn2p9ogFIqAjgK3UspRFES+L0YmtV7ZyOamf5UvU6iUM1kyyi7Kn9pOQAAO8pDEkALAYr2\nATBaVoK3xrXb5t4Kc12iCOMkPXpAUgAhLhfbnNnAOA2ytkOUZjmyb3H686QoP50jkbU4Qu8J\nvJm44zgaKsfRsO8kYGSeeyxdu2l3CGOsARj6Gst4w2KurDb+OU6ZY2G4e8NFaACJKCIpAVJU\nOQdKw0O501bpzGT7zV4bh9YWJiKzlcxBuRt1ZVUjCY53PWITC1nbHLuOIvolkag9B2KarCkF\nF6nhVGhcQYGmLV3cRsHkLVEcgYoxglePZ1v7rPZDr7sLbXDBEuVJ69v9nK0Nfccd4/3/cMSA\nsELiJmDqadZlrqAhJgrTACrufS1M8MkBoTARQ4Ehwmyi1DVQ0h6K2T3fWpBr6a6gCjbojYCR\njAYAKD/xHe8PgSP9frgYg24f3e6HxBUr3RstcMUybFZACSaJW17bEDXnszSyPMe/ySGgdRRs\n/Sa3391WdwZ+4zPAg+6jq2rKQ0RPp/uQb4l7D7IotoXtmPVNz5ot3GwVHzqSMnBwTOgFsWwU\nJQph+zibROkGEib85hx8kkVytLZltVN6cqBidzQANEE/Ng06MLS3jgwUqEADoUscZViOQKck\nET5yRAoUCTgxwk7voEPbRrv0WmtQzQ2B5ooT6YuQokLsi+3KoaQiODWfRq+8Vuj9pFxMCn4S\n7YcOh/bz0BehgL+YwBWABJmbRLb76L0KTjUPOn6dincCRKLPRZ0AVdVSZLiiTh72CL91Gto6\nTcocQCxvgzIqwBKpCgUb0Od60WcFG8fcStFLs+LnbHgfwQplu39/zMphHIXknTa8DT4P2VpW\nuVHMFZ8Db539QLkmeuRzvNJ5HAC6ARq/ImHo1XCTVA6UQAOdGBFAY0gXagY9CXIchw3ORRRx\n1d2DA4IXjOrJ0NdpkGW7pcv24/Vn7Nupr1oy+5y9ijP862OjriqetvVZHl2A9KtcPXJaPMLK\nDRmcgCH1Q1KZ5qYEhCIa3MRq+KmH1oVDMdg9Udww0lXFTmAquPh+K8oCMOkMV/0MY765oRAo\nBiX7ULW1h462sRsaGrSA6EgA5UjUJVc1jd9UuMBFpVRquk1xE+hqvPdLnnQoSe2ojqh/DXpC\n+S+93Mqnau/Qm5jk2aBIAABMvQ3ui/ZIAEGrUxPUjsi57zihVtEExOyLX7pvm51lvJkZC8jb\nMoEsHd/jDvbrCiYoF0ihfVlkGhKWcJ312TtxUk8428Yjos8zs60IWmdZt8IT/CNBrQicolM6\n744w7kS/5NVSFIZqgS6CcxgwdnYjgAztLiQloLl80GA/EvrhkQHnlQ9W2GeFSBxAICIMSh6J\n8pMOvGZ8VWF5NYLT6SYBOHFyvGy31wGdMvdZnfvTJ6IUoy9PPAnNDxDZiS56p05bcPM6HjyE\nK+eWpzx2FQUjL5tOE0IfcQ5iK2y/xWfgQ3uI6+36KiH4i8xDHRCUFKDHyCZ+hdDGUGee1JAv\n4F5oAPR8zm+bZYsovSEUYYwO7V4FhUKJvgi0tAIFGBoUFBgBuNe9CStkid7A/d6vALL6KjYe\nV9EBTg9wpTKlZRRPmuNOEbkplW7abiOD0oMeUMvbDl4vbgpLiLsNzQ71Cx5AccHvdpxyhwoE\nDjAEyEHCL+juGeVUlbwRnt8kionEVzxoju9dCNlkjuIbPMYRmsX279fwuh23xTGUkM/8MHw6\nqkfL5BCiTDcG5m1sZQ5VQlW00iSXDmUCCAmrRDfnWEjc0hGR97QMHXGa77PMIffGfUNPFtS+\n2B3Lpd8HJD3XetYkVwBDPjlHAUUbmijtJu6+MJE4qbWABGEBpQa/RWok5TYAwAAeyRQZFKh0\ndyzOUFGSkW4eRR2dwweHCopaTgtPVGEmTveCJlCV6h42lMesgnkxxFuVUy1gB8W5zdNTbLqr\nZR42bd3vuzPw6Z0BZGNjaMbq01RRLX5oHk1QmwmcgFFkKvZ5DRKN+iHJSatm5HL+uiJJrHdv\nIDzQQ3IiyzHnP/e8BR9B56LwjaJGyl/V0s7RKRBRx34SSJJzDQdfaKAfkwotJA+MvHHkx3j7\n2B2ypwRw6LvgZLfYHHLKoWfUEsH120PXeMo/Ru+IevYg706MojxlOT7b+9RrAHgQM1mCsQGA\nKEQARXxW8c89+vaFAWwRvD4BFWv2SL70wkM4AinrDSjJR3etnsGmyyOXa3H002naVswgg8kN\nBcjk6ZG0nbmKDEbncO5IWt7r0DhunGEStJLPDcll9458J8BNpnDchvdSNt9bsv7yXaaDAkk4\nwfrLuPSSd8l1hXZNUZ5II2vDBaBPdMW2eq4wJYpYCeTU0EECSao2C1PJASXog/VBAB2OPH8H\nQNbaPwszWroHN6hbNgaYcz+3v9eLu8wUmPAocpSs3UWf/4gc1OftP+180769OGavDY/bv5w4\naSeytO24755o7eGz8G9Xdf0KV0nRAIEhLzZBHhKRDLzYTeV5yJDcxbOryJEoeIq6IBj015SX\nAwtCwErLKS+pgbdfxrIr/81xqNiD9+LLJK4DHDSURI835JOG+vGo5LSAQOPGNY4B8MB/rqw2\nYCE0PX0QtWiIekX0y/XnaW84pNLbooktE9nCaD48FB4XMAq0XVHX5F3VzS6jXJ6cJIkHhwdC\nzhVlwEAOTU7QD+Eh3ljmxj9/wRoX36OPFF4OQJ4TUoe39YD3AnMCfS5Kdfihk/dbgpFj9F97\nzdEaVQbd49g1h/X6O9DklAPWyjV6wKYf/hUAyBW+0DkT6pdw8ERd6wAuRQwVhVFUkfPi5wcO\nlTx1xTkeApAaOYBzmOIBCFMxC2KTKKJ1riSGKQ4bbFg8V3EeWc5biuU2FLMFRX6cBStxanZm\nGUoXimVFRjTARw+4xJ7GGNdr5BB4U56ZQF0BxVYFxMcB1BGUTIOd637lDnJgxoeiGcXT1xrM\nsbjgzK3yecoxQvAAoIiUkPap+5yhQgM+WqUojx7biTNHu8zNHp+l5zxR5wBHAeDIGfUY+XV6\nP1RYP0k51J7dKF3MWSaAZsCudxN71gMAqwF+0FlEN/oAAL1UB4JZWd6ylVoZf1ivpQEFOoQm\nETjRKqpaRp4u7bNBcqzbG8/UoYvEbPIfx8k9FIaal26QixSa4f0xgBrPFsc6uoVDhH5EPh65\nPNUF9zJNAMs45cc9WxteBvytECV6nzljDqD27aU+skj/ug1tv4zimsAbueMqCNVAWLn0L4kA\nYUy4Y3GaGHAT5/yPAiSWwDCQ8bDV91PW2bWRjW8y19zDfB+Qu7Q1+BNLQbdLlMaodjfEM8D3\nKL8mk+QLMIHWOhEiR59jWyEiSzpXUTla89A6Bn0WkNKNFI5xldpzJJDkId7096Ahu4YTd9Xr\nZMeAW43q6i4ClR5/0Brd77oz0J2Bz8IMKALcSNL4deIVGBvIufVb5u2RG42cUfEbj4ddRaBU\ntVW2UAPd7FqeIITloJWYkdPWE720HZn1sXFCi3ddpV2kE7IDHScdKoer9Dv6zYOBYdLVctSg\n7qX/1IJAjhvXmoJKegG5QX4CIaUkSL4PoZf0asptkq2iCebYZKe4/GhsgaND2jqOzqsi9xrS\nX0hPOZqAGzi3aAIOBQ7V5OhqYU6mThPtRGKWzdQtDUgZSSesB9tvh12EyflcHO61xMBXceDN\nWOzOeRgCIbbxA5yA64C0FG0svgwVesLWh/6WEuAUg3C6mx0gpIFF7vA4goP3aCTEMoTsSj+6\ndQPdSW4p3qgYzcIblBwXUu2l3vpe9hcUWJglr5WCQ1CvA+hyTSJbYarWJSqjgLLr/Jazkfwc\neoSIGE60SL0HHRG31cHvsd2yrsTB0Nx1jqfzZet3/YtCAMAF6BbpTqcoiIpRixZ2ww9ssvQL\nWnK8Yu/sT9vVuxl7YeiEfWniJTvVf5K8JrlcPzujY/V8do74U3CkqkjmbiAKEcj4qAt0cLOr\ni6S8sM5akLGutwJN+kahZIEo1nV/MqT1Wesql6g9HCB6kohKZ0VeFRkIC2DJUBcIk3Gq6Mah\nEcIYdlS/Q9/prQetLyDCgXi5f0hAzc4CLLLWuHmzRePD2+wSKDl5B5I4FwcElevEfKiqm3KO\nmhQJkGcpELBgPjxF2IigCdDp2AQ6ws88Z8EHV0zATVX7HBC5/wju/6QojvZ3GBwpkifQNz7u\nwJCrOncEXPrHjhEle4cLwUU5vO79W3/gJ1fNDgAkqlYTUOLO9aDBLMKdqI5TAALDuuYPGVIW\nD/u5vFq10l0ZvdMOXO9tEw0ZTBMHwdCnBLaq2sSShMT7JtzWbwKMbu4XaPAG11jKSFtmDta4\nvpsAnBHmVsCoxP2oSj3YrHCHaZ7K/XCsfXy619T3YvvyJRQgVC/ljqEswhU8e21r2Geu1EDT\nqRt457rA8trtscUa1yEshcScRrmvA/YT4VorahTCqq5wbHWWiaCgCmw3T41YXAVuEjxyhdxD\npDOr0XgVL13Rw4tVk0amZxK5QNu7dHFPr9rGYJ3cpSXL5ZkH5dhIUdYXOZdhrskggIaGeFD5\n2D37FXiUCOe8uV6lEAmzNg+ogvLJHJKO29ptew5aB9F6Rt25UfxBNLhm/A3yvi7Qu2KA682a\nTKbnrzo++zb5UZrxQpL5zw0CXgBDtVvsW1pckSuWbe5ZLnPXSvQsCoPwmngM6yiuSgRvHdGe\nWHW4HTnqZe56KeG9iMfvTZKiUXqHhmaci8L6DUDZZZeP1CSqpl5ITDZgJ0pjwpMWLSFDJIx0\ndtxofoPnC6Uv2p1PfpkbXCfnr5QrVEBI42M3Zcun6SoU6WbVH4tTAd1tmn/vG+hFnm3EAYHL\nDoBi2l0lXtgqj4w63beh7ofuDHRn4FM3AyrZL5u2TLPR2OAxaw5M4KDcttriJvgFQKNKpE6k\nI1twhnoI30C52QwfO0C2jZgw9+lc6f7jJyiUhiMXvd+EueAiSDj0PNkHsh3Q83JoyukpuBCU\n2EmYV+UAD6HB2G+oSuVZ6Z+O3oUl4ewSCaDOkHMTsKWKv245La+/Q0M6TmWzBfpCVfQLcqsI\nnb2Bwy1B0+wm9DufHE8/NWSzHrQ5Kqp6AJGKt2XFZBOgFLHZ2FkodSnbRE5Oyyu0lbDtUt3y\nVGWtEfmpkf/j+WmiNUuWLYwQVXreNvve4igARrIrJETbA+ndeatfmV5AkvsXBx10OYvcQZck\nObZedB2OePSBiG8saktj/yu6ZMEyuVfJVxpGzNdso+d928lcQh/S+iV8y3r2n0Jf9aJrNmFB\nvEXRhkW3v5auOdi1eyPxLzAUq9G4Fl3TIH+2Re+WDtSfjk/sBPSmA5jSMXtUXv2BDUQmrRSd\nsXfLH9ri2t/aRHrIXhh/zeaGv2CDaWzKJ7TD7j+y382n+63n380+P/N7UdK5jEI99MolCk3P\nAAY2eABbAMHlHanKFw+0eyiJHCivyIVUBRRYPyC5XHkr4tN6KuX9mxza18O2h4Bpwhs9+rvz\n9hyKLhxdXUIrrB5LHHeTaFOAwAkhkFz1OnmGJPQkDFUiHEO8QRhdw3mNMNj1MAQCN4tEqYg4\nhGZnnXGuyIv39DOuol2dEriO3iOgxPcPGq5cdkcAquw2oEDhFu/4cSdcdTxNCcwjQ72mlLOl\n43/i6nlcL9ENg1t4z7imToABQFSNRyXEBR49QJ+ihgIGDxuumh/etKOjloemdo35nD1Lpboe\nS998lx48e1bKZSiEqPyVW7AzYTkjiKWN8njZbhPJUuGANah9ORUE4ftBPHY9AIU9ypGqspzo\nYtIFoj8loHwKQG+gwMb0W1tJBHjp1geGbGhj1eoA2KqikcpZI1qj0qhSXMovinFvh+MoJ6I6\nGtU8Xjv2qSGlqGZ7ojPqHte3NRRTlfW1Xp71d7gnVcGulcGPEGUhhe8DgFCEetEluNwlSo2G\n4XHVoIRFOZc8Cndt4CZlU28TxDwBxOgDugTWo6IZ7CfgPnZFH5rDAEEUqYAiVnoDoCDaRQjP\nm3KLVJAhomZ95CW1D9kd98f/0bG3PGM1lMeliV2b2QtRSjVhqTLgJ1a1pf4CvY1KFIFgOeh8\nimbFKncdKAxDc2jgUW0qebeJR45wSj2apzHsG9azd5ZoGxQV/ktROShbOAt9Q8uFSSTesHhp\n3CYqf4Q37ztWiS/fd2itJog8sUyagJQUYBgF1yBHK71/nK9RSdkPLFYeofQueXgqB87zplfR\n+eQlFD1T36knkmZH8+DKiUuO6YMGvxFmYxk4/9BF5C1hFdf8FTbL/YNV1LNLj2IcWp0oN50h\nRoe+g7JuZVivydHOL93X7gx0Z+CzNAN67geewrmGOtd+wz4hAABAAElEQVSzrIg2dA/LfI5K\ndyf5rPYR2DCuhYZEFLJeLArXDgNGShMbR9R3SRiXayyBok/oDA3p5NAIlT2hyIlJ0lxZwX5g\nm3JIyh6RfYR+C+OUq5Xk4IKpAY1OpajDXgFmDNtTpEnbk05+0NC2FJES88fR+OQQY3kJr87h\nsB8IauhM30opsmy8LMwB1ouxR6jbiiGFh2ECsGppE7nbi+NpdNYm+4lk4cz0FqGCZ4Ztep02\nEblxS1D5NJZ5w8TliUdHAHh30Etyc1IJFT2QLZyx7SzsGZxlgXNsoavlmHNgo2Vj6F9OjD/P\n9hPLlO4+h66EJgcA2cxcc3mpQ+Qc5cObsD/GbbvnXZxob+MU86ww9EPEOawOwF2FFhfKs/XR\ngXmcbHuZKzjwBKiY50cM7T1JjuzAzhcsCkDq6IkS/fs2e3+GflcerACR5lPbkmbhqAFSXDj+\nX4LiXodkfs62A5rp4lz+4c3/YFeW/tZODL5sT0190wYASp/mcuFH1R4n1h2fOAMqtnBo+DKe\n9VArQoJxLuCjJq6ieDnal/ixEgyKIinMK+PuxjUkDkBih4alyk3RQ/47GKLWhW7dalG9dLwM\nFSFQ/x9/fOLRRyADWNEh/mQmN59+1hq/hLqm6I08PxKMCDhX2Y7omH/2vAu/dzYqWaShRrvB\n1Y+IWJGQf/48CQtQnwQwCbMrT0fvlfMUIgLR5K9WwoNClS0vgoCRIFTRBYFRgavJyVZEqhM+\nFwDFGP/YkHFIufTGO3ht2J9C708yBC68UQQdJ+7OfRUjFgNe86nokaJa8pTJi+Y8X0e9ZoBD\nL0N+2NEEcCIutTtb1uibNn9iho3jyTr5vMWWrtELaYvz3bVoAQoikZUmfRZUHr0q6iD34C2E\nvsRnQsADwaRS1zWARYFtRJm3JEpFw8fNH+b4rnLOUea+xD47AEm/F7ietFCwmOiD3JsVzrXO\nclHxtxG2JYFetttyACifCKObSWCqnQgHKkgssh+axOoeQavWuddFudvjWmwB7FSqW0trv8pf\nqmG8e3Wa6QEmSjHSW301ymPb6hFBEmqMSjtN/y7Ai2a58lQBOHyUlvKtRCnUNhI0tosUtsgR\ngjLAZ99FuLTvHuaLe4T9RuBOV1hP/G4pCJX0bl1BnbmG1EBrnhyoki8OpbIdfpZmrot2eWDF\nstuUaKbpbaEnT25VSxerl1EGjnk9Qt4R5dgHdz5HZTn8fCCFfGoBit0i58RCzGuu5xJ5SCOA\nVCh7VKTLFk+TaAswFHeSuctlLjplE631Q8n7si2P/rVTnBIZnWfGeds4R+UebfT/yEY3/wCg\nNcs+Z9y6kRrgMb7jrle4kUJJorTYvcp/NyIYGdy4qsxExpWL5urMeeBYRteFP4CR0J7P8Uth\nOdoc11d5RFDu7w22qd9El1dOkkp7q3JdZwiMa7/ZGX5H7O0vdgFSZ266r90Z+CzOQARVOfwC\nKoCAjosKY/7oOzcESvjryCl9p/euYqzyntEjrg+gHJnoENcrEV3kKHBiuGCDOIYG63g4N2u/\neNM5OhHoCBB0qhgwvEbQJVGYFI0i3yMYffHebt90+tDZVugqxM7Dh/Yle4xojDtCp7ykwFpr\nNYny03EOZarzyZBPg8M31tZr6KgiTIQmVfMS6NBKGVp7ARvuOLm76xRjWkUfJSGYjVTtZN8J\nxOggxYUhbQ+cZWreQmdQ8MfHXoBhoOISDXQfoTAX5Q8AeXKkqdJqq2aetCnzg1DFpcx/pGWw\n/3JswXbSF22g9DWOH3uT34vRLVsc+TFg5S10AIUUwuucnTganAf/htAVbq6gz0n/RTjHDI65\nbOE0+iDu9EY+dYW8qJtEo8ZpOH6BthFcM/TAfnyBSNGmDW9/lWgTRRzQKR7UQ0WQolX0Lt8t\nDf9HIlk4vd3eWswD90FXQkwMCj406Q+VbH4ISDqJ45Z5iAzYDoyMGxtv2Ob+LTs+TERp5IvW\nQ1+tT+M4pNo+jYf36TwmGbmOCsbD74QD4MbDCxKs4yFWcjpeEdHKQgof83A3ZbxjUYYod617\nR/k+RpIidxHuCMKWGO3+S6+0oi+/5VPWsftPP2MNaG2qQucEm4xZgMqTRlYk2MIvvGjB9WvW\nxPvjomIrCAIiST6lvMVNftDQ3AlYqDdCgBtavGMJKo/vjLlThMqByalpy3+IgbsOAHMPHczg\n0SlLjDC3oump4IUzvFt7cXlfRLUOlxQ/vH/HlSZa13jvPazWJwOlLvKUSlvkj15DxiJMdc7L\ny3jAAIwdcMaxeNPHXBEJd06ycDWIKrnKfdDZ7jteKQ8iWgJHQfyUhfehDajhDyMYmbVGjJ5I\nK5SEfvXVliIA9Oh+K6EMwgBwss6sQs+pzohEw646nA/wVulnVTT0AewxAPDG6Dj9aNK2BQ1S\nJbo7Q/SCPoDmDoAuPDPrlFFq8Q45dVSB41p4ALsoCbG+vHB42QKidh7AQ/4uD6qbqtMliFpF\nAKyi1FU5vjDvy7wW+VMhbXUv1x7lQYtxXDAZEOMULyByVOX52EPoBgFV15gn+aOaCOMGwr2m\nKnaUOFUkSF3LA49iJGxIDWp7iXL0ILB96Hl1RTxQGD4girAmwGQYAa6eEops5XmlT7k/SdM+\n6G5UnVMarHx58tYJFFHKgVc8iOQf1VCE2+HnLBc+TuQKj2Zoy/b6CrbSn7PR4jn2s8+xkZNV\nogQ5+9wh4XZy9Qtsixyo+B3OMmW9ezOWLH7JllFeXEmOh/WH/h/r23nNRre/4qI87B4FtQuY\n+si96npUod+lSzMoqXErEiVq3z36icH1dF8AYIk4LaOchvP/1NJEphR1rSa2iMAtOWDlFSkJ\nTlnaJtWXQswlFwwZBCBlE2jn1p+LdLJBASnsBCH/UB0jwkXG2rviaxlEHcNIq+i2UrQoCmYW\nQJJDuTNcQ0mWT+AvULEGjQpirl5sRaFa33T/7c5AdwY+azOg51402ice6ACn7x9nRVW3VXsO\nR+FHFh0eCC+f9g+O6uu+h70SPYVwoerbylJLr6KfBLweOCT8BMYEpOTd6+hsLSzHbFWONYRy\ngpwllaxjOKcf4fAaaLBGjmoY+h3JmZai8E0BAZ6H8u2tlsis2LOdIZpD98zZUGYOqhnyFsZz\nb+U4TtGa3Wi8C3V+nMp2i+hlgSPJXQoYsZuaHIHSR9JhbDNGdEh60NG8+dxA9zkKHopvbeA9\n2w0u2BjnIOdjLpnnNL7Pemg6dFEYECT9qSOXPeUEu5PzAbosYmMb/5xI07CjectRF6uOQBF/\nwekPyjVYJbaO3l5xOqAHsNQHDVB6oUkvzxrLBz7aHGAVhXYerQ2SX3zbNvt/zD5bQ68Cde7Y\ncXa6AUgKNVYtBdOl2IANE+shokXuMjZUsbJJAaYN28zfsHNjX7OpgWc5Vx3/p2d0AdKvci24\nuCGMSdHIXOloLqryX9TDyHFd8cT7lOduqnkohrjCzCEZskgZUcA8PPQN0e4EpibGeUow0t79\nJflDL/IQPxhUuMPUTQ/wOppX9KSnoMaiPsfgymqysqPFIcgeOdTb5u4iwA7wogdYAIXImSJf\nosjJ0A/e+Jn5z0KXU2+oTxp6EKDtBVeuuP5FyoXpDIXcg7U1wtkZPPGnLfkSv7C48h0IOlni\nAvM6f7lVFU5RMObFldGWEH3mGQIdEdu7wbSCNWSoZY5hzLVPzxW0ANQ1yLsRqFPvJJer1dn5\nkVdH4QMkuAjS+QsHFfnCVONpQq9sUC69SS6QfpenSwJazfFc3ySAiRuiH4pa5yxUvsEFr4bA\nEgX+ufPk/ABEfnIRRiZzy7xIyMnTFFojejJNxG94kOIM5Igt3HJRHBVH2AewDFMSfBFKnsqn\nxqHQ9XM+ivr0cn3iBRrOxckTIoKzNjJm+5RyFw2iFRKXKLs3holw7qwX4S+PW216xtJQ7kY/\nvGIxInV7KKthgKj6HCnSqAazNNa2NHMu4RHifgw4n1IkRuW2AaJBABeOocDxaijx1b1yTCrr\nrRgGdQ2sH2BTSLIc3jaqQvAnChw0BkBPwLmX4xSb0PNC8zqjUk5AgQVFZAToBgv9Nlbsd8I7\nBe2ib37assmKVdK/oAcF8+T3Abz6SWQlYRjgI+Who61EJgFMKKDGNufAtdEcS7lAy9N8l8KT\nthX7Ik36uH85v1bUhhKqwbrdGV63Oj2ohnM8OxxvPV61W4MXieRAqWP7pShN+jhX5QcVkstQ\n6sbggE9aIX2HbQHDwvsk5n4fIJm1eGzB8b9rAEMO4MjgSKlOp8fj6E/us84FpVMn4Xa3721K\niE/Tk2kJJU0xijV5/wCtCe5XKHVhin14NKUNAEcRqJEhRYvU8FAKXLJEPEcUtcNe3FOKLuk9\n/hKXFK33BPncs6P8InbtfleuF9jW/YmCoz5H2pwodcpXSOkwWFdD36vaFZT57ujOQHcGujPw\n0BlwObFEnR63ibwctN6F806vBgvzCBoiRNhmB8Ln6J4EilRcicq8bkgfKxyO0zCUzACCcLK1\nBZeo4j7gqB6hWEMsyzroon2iLhVAUR27LX7eeheJ/tTJlXr2OZscIJrf8Qqx2YTA5GrEPpc9\nbydGB+0XqxdtfRd5WNq0RG0ImjaNZMm79SkOXlW0RdVWkatyrHtUrWvK0Qdo0lAhh4bruRCy\nOzBUKrEPLB2sOadgGoeXT9hezkD1cZKukfNP/yoW1Ro0hN152eURqbUEIpmI0RgRo/M4Ent4\nPeeqqioXVjoin7rO+hRLKk+77W2TGxto2xpQAuscX7I84ah3Kh4kHaJtChy1XmXBtOiC0lmu\nOqrKjEOS30U3T6WyODkpcsEJbxfuQqTas438vJ2f+Lo9d+yPmYu28tD+/p6HVF53/AozoApg\ngYoQKBcHQ18WjYxkZygf2Z4DD3fuEFm4A8UKQxnPfhjDWMa682rw4Go7wfw8D/xTR9bmIw9I\nQLSieXsBLitUJIxe5T15gDJnSX18jU/8xuX4kJfzOMMd//vvIQxAKAIk8kgTwaCtvHlEnjwM\na3GOFUl5LHDU3qkoeQ3C7h4A4+hQE9Zgd4/T0zm2fpUxhp1NT4Rxi/YT3r571wEzSZYQ18Ob\nnKIARdo23sZ4Y5My2PYW8GLnoAjgDOk8d4qihV9+xUWA1KvJJYTq+gE63HzKqNe5srOQEkcF\njAC8DgDpULge4peFoPf5gAcBF8ed1vcCQ/pjH65xbevQsTgRYVD7VP5dhrc/OmahmRlXyjT2\n1rtWqW9hwA9aOMXJ8n9tj8hPAZTHsdcLfRZW5O/knDWWFi0BSI1qX+R6qXqcx7ZH4HurOMIG\ny/Wpyh+CP8bcllMZKwLOREvbJrKTEbhvT8Qu617P71uOSFYdJfEfCH1vLa/aANzv5Asv2Quc\n11fv3LaeDYCb5kIHhofNivuWIZJUAAxucx7L/YOUvt6hv1GKJYgSiaqHAKwTXlCJbAn+GPeM\nwI3mNQ2Ru5Ro2mZyl8AqyqYAMKLkt6h5jSi5V1AH4iTgxsKUUsWybtbJ7eLcfO6v2HYPCa79\nUBqgDQY5AAj5Vngep9afpQgFhR1G8NLRzbwQVqPDq/SfuIuoxnHBrrlxUTSUQA9hxUN3iLqI\nEZRIlFGDikz7EeYXT6FUgasuxJwFeOU8rk2IpN1l6Hab/Ws0vAUgxrmG0P/ilWNEftoKV7tg\naKZEo4hSJcjd2TpvR2Xj9AFSdSoL1alAx5f8uQPTagcjAGR9/Fv9rCsAVRSkoqaxFSoV1eLM\nVQ2jIqLqRYA/fJA19hHluxBArkGSbozldc81qRoYEu1PeUiAJuUoaU78JtEw+kvJASGcqtwi\nPTv6kw0h0POgAaZ0QIr2U2KlWByjQM/nYU+zu+T83h3dGejOQHcGPmkGpMdtacnp1wOH4iNW\nUkN4/+mnna517UtwPBrOQNkoTpcfXVf50IhAly8sOoK8Qdg04d4xC+9QgAAHmg8t2Uen1tB1\nVQRbrUp+K20YwuQmRUPop/Qk/X5gfxCV2Y182TKpYRE77htyEpU30OO5kB3H4TuUGLC3t87b\nrWvYBj4Fhwav8IpOV4RIdEL0kSd9I10UkYMZkIFAVp5ondxZ0q54z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TfwNLlHt1pgTmHu7PHWeT5o/QLCs44VJ4PfB7gor2f7Q6qxlVIW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\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LsbyKDjoUtc3lgQMiDmKGblCAoWyR+o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Jrdcn/uGzHbu4/9/tZ8UKCq0BiTOLozPGrf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C1btszEfF588cX22GOP2QknnOAkyC984QutbUAL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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mse_stab_fpr <- ggarrange(ind_mse_fpr, ind_stab_fpr, toe_mse_fpr, toe_stab_fpr, block_mse_fpr, block_stab_fpr, \n", + " nrow=3, ncol = 2, align = \"hv\", labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "mse_stab_fpr\n", + "ggsave(\"../ms_writing_figs/mse_stab_fpr_new.png\", mse_stab_fpr, dpi = 300, width = 6, height = 6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figure 2: MSE or Stab (which one closer to true FNRs)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "ind_mse_fnr <- ggplot(ind, aes(x=FN_mean/6, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.8) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Independent Correlation', x='False Negative Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "ind_stab_fnr <- ggplot(ind, aes(x=FN_mean/6, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.8) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Independent Correlation', x='False Negative Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "toe_mse_fnr <- ggplot(toe, aes(x=FN_mean/6, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Toeplitz Correlation', x='False Negative Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "toe_stab_fnr <- ggplot(toe, aes(x=FN_mean/6, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Toeplitz Correlation', x='False Negative Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "block_mse_fnr <- ggplot(block, aes(x=FN_mean/6, y=MSE_mean, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Block Correlation', x='False Negative Rate', y='MSE') + ylim(0, 4) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))\n", + "\n", + "block_stab_fnr <- ggplot(block, aes(x=FN_mean/6, y=Stab, color=method, size=Ratio)) + geom_point(alpha=0.3) + \n", + " theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2, 4, 5.5, 7.5, 8.5)) + \n", + " labs(title='Block Correlation', x='False Negative Rate', y='Stability') + ylim(0, 1) +\n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " panel.background = element_blank(), axis.line = element_line(colour = \"black\"),\n", + " legend.text = element_text(size = 8))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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b58uVxwwQVywgknyE477VRv+6kUiBQVSfjrSRKaPk2cTZsEHodEcnLE36ev5Oy1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\nptjB6bUioAhkBAIMAP7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lIaknWvzUDhn376qdxzzz0t17lmuDM92l0xbKjct3CR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eB2Mx2LHI75tgSSXcqO2ZPHmyPPbYY8KFXOnP+sgjj8hhhx0mnTtDigQxjDfNshkl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SXbnN1fKE0ufOGYQRIm+Z4jQWxwl68/B9sTD+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\nqiEIuGyKswhC9LnWgWyg49q7BKjPmd2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qMDjRSHwZ2cllZBatzETGjuDLLvgqUm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\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TIyUvEefPRFG4E0OpnRIINEMB189tVP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\nAAAAAElFTkSuQmCC", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "mse_stab_fnr <- ggarrange(ind_mse_fnr, ind_stab_fnr, toe_mse_fnr, toe_stab_fnr, block_mse_fnr, block_stab_fnr, \n", + " nrow=3, ncol = 2, align = \"hv\", labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "mse_stab_fnr\n", + "ggsave(\"../ms_writing_figs/mse_stab_fnr_new.png\", mse_stab_fnr, dpi = 300, width = 6, height = 6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figure 3: Compare methods based on Stability" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "toe$N = as.factor(toe$N)\n", + "toe$P = as.factor(toe$P)\n", + "toe_sub5 = toe[toe$Corr %in% 0.5, ]\n", + "toe_sub9 = toe[toe$Corr %in% 0.9, ]\n", + "\n", + "block$N = as.factor(block$N)\n", + "block$P = as.factor(block$P)\n", + "block_sub5 = block[block$Corr %in% 0.5, ]\n", + "block_sub1 = block[block$Corr %in% 0.1, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 222, + "metadata": {}, + "outputs": [], + "source": [ + "toe5_stab <- ggplot(toe_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\", \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both)\n", + "\n", + "toe9_stab <- ggplot(toe_sub9, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0,1) \n", + "\n", + "block5_stab <- ggplot(block_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "block1_stab <- ggplot(block_sub1, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) " + ] + }, + { + "cell_type": "code", + "execution_count": 223, + "metadata": {}, + "outputs": [], + "source": [ + "methods_stab <- ggarrange(toe5_stab, toe9_stab, block5_stab, block1_stab, \n", + " nrow=2, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/methods_stab.png\", methods_stab, dpi = 300, width = 6, height = 6)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### supplementary figure: similar results among easy correlations" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "toe$N = as.factor(toe$N)\n", + "toe$P = as.factor(toe$P)\n", + "toe_sub1 = toe[toe$Corr %in% 0.1, ]\n", + "toe_sub3 = toe[toe$Corr %in% 0.3, ]\n", + "toe_sub5 = toe[toe$Corr %in% 0.5, ]\n", + "toe_sub7 = toe[toe$Corr %in% 0.7, ]\n", + "\n", + "block$N = as.factor(block$N)\n", + "block$P = as.factor(block$P)\n", + "block_sub3 = block[block$Corr %in% 0.3, ]\n", + "block_sub5 = block[block$Corr %in% 0.5, ]\n", + "block_sub7 = block[block$Corr %in% 0.7, ]\n", + "block_sub9 = block[block$Corr %in% 0.9, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [], + "source": [ + "toe1_stab <- ggplot(toe_sub1, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\", \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both)\n", + "\n", + "toe3_stab <- ggplot(toe_sub3, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.3, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\", \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both)\n", + "\n", + "toe5_stab <- ggplot(toe_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\", \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both)\n", + "\n", + "toe7_stab <- ggplot(toe_sub7, aes(fill=method, y=Stab, x=N)) + ylim(0, 1) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\", \n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both)\n", + "\n", + "toe_easy_stab <- ggarrange(toe1_stab, toe3_stab, toe5_stab, toe7_stab, \n", + " nrow=2, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/toe_easy_stab.png\", toe_easy_stab, dpi = 300, width = 6, height = 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [], + "source": [ + "block3_stab <- ggplot(block_sub3, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "block5_stab <- ggplot(block_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "block7_stab <- ggplot(block_sub7, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "block9_stab <- ggplot(block_sub9, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "block_easy_stab <- ggarrange(block9_stab, block7_stab, block5_stab, block3_stab, \n", + " nrow=2, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/block_easy_stab.png\", block_easy_stab, dpi = 300, width = 6, height = 6)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [], + "source": [ + "# numerical comparison\n", + "# easier correlation (except Toe 0.9 & Block 0.1)\n", + "toe_easy = toe[!(toe$Corr %in% 0.9), ]\n", + "block_easy = block[!(block$Corr %in% 0.1), ]\n", + "toe_hard = toe[toe$Corr %in% 0.9, ]\n", + "block_hard = block[block$Corr %in% 0.1, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.2100 0.4250 0.7600 0.6792 0.9300 0.9700 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0900 0.2575 0.4050 0.4364 0.6225 0.8900 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0075 0.1050 0.2353 0.3400 0.8600 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0600 0.1300 0.1650 0.1653 0.2025 0.2700 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(toe_easy[toe_easy$method %in% 'compLasso', 'Stab'])\n", + "summary(toe_easy[toe_easy$method %in% 'lasso', 'Stab'])\n", + "summary(toe_easy[toe_easy$method %in% 'rf', 'Stab'])\n", + "summary(toe_easy[toe_easy$method %in% 'elnet', 'Stab'])" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0700 0.4200 0.8450 0.6764 0.9300 0.9800 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0600 0.2775 0.4450 0.4428 0.6350 0.8700 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0000 0.0650 0.2111 0.2525 0.8700 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0300 0.1300 0.1600 0.1573 0.1925 0.2500 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(block_easy[block_easy$method %in% 'compLasso', 'Stab'])\n", + "summary(block_easy[block_easy$method %in% 'lasso', 'Stab'])\n", + "summary(block_easy[block_easy$method %in% 'rf', 'Stab'])\n", + "summary(block_easy[block_easy$method %in% 'elnet', 'Stab'])" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.1900 0.2925 0.3450 0.4200 0.5825 0.7100 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0800 0.1950 0.2850 0.3331 0.4125 0.7600 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0400 0.0975 0.1400 0.1575 0.2150 0.2900 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0075 0.1150 0.2350 0.2925 0.8500 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(toe_hard[toe_hard$method %in% 'compLasso', 'Stab'])\n", + "summary(toe_hard[toe_hard$method %in% 'lasso', 'Stab'])\n", + "summary(toe_hard[toe_hard$method %in% 'elnet', 'Stab'])\n", + "summary(toe_hard[toe_hard$method %in% 'rf', 'Stab'])" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0100 0.0500 0.1550 0.1875 0.3300 0.4800 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0375 0.1200 0.1581 0.2375 0.5200 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0000 0.0250 0.1156 0.1825 0.5200 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0000 0.0275 0.0650 0.0675 0.1075 0.1500 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(block_hard[block_hard$method %in% 'lasso', 'Stab'])\n", + "summary(block_hard[block_hard$method %in% 'compLasso', 'Stab'])\n", + "summary(block_hard[block_hard$method %in% 'rf', 'Stab'])\n", + "summary(block_hard[block_hard$method %in% 'elnet', 'Stab'])" + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_meanmethod
    681000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) 7.71 0.20 0.27 2.71 0.00 lasso
    721000 100 0.9 0.1 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) 9.72 0.35 0.27 4.72 0.00 lasso
    1481000 50 0.9 0.05 0.29 0.26 ( 0 ) 12.06 ( 0.52 )0 ( 0 ) 17.06 0.62 0.26 12.00 0.00 elnet
    1521000 100 0.9 0.1 0.26 0.26 ( 0 ) 16.05 ( 0.62 )0 ( 0 ) 21.05 0.69 0.26 16.00 0.00 elnet
    2281000 50 0.9 0.05 0.85 0.1 ( 0 ) 1.5 ( 0.07 ) 2.46 ( 0.06 ) 5.04 0.29 0.10 1.50 2.46 rf
    2321000 100 0.9 0.1 0.80 0.12 ( 0 ) 2.42 ( 0.11 ) 1.89 ( 0.05 ) 6.53 0.36 0.12 2.42 1.89 rf
    3081000 50 0.9 0.05 0.71 0.3 ( 0 ) 2.18 ( 0.19 ) 0 ( 0 ) 8.18 0.23 0.30 2.18 0.00 compLasso
    3121000 100 0.9 0.1 0.67 0.3 ( 0 ) 2.85 ( 0.24 ) 0 ( 0 ) 8.85 0.28 0.30 2.85 0.00 compLasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.76 & 0.27 ( 0 ) & 2.71 ( 0.12 ) & 0 ( 0 ) & 7.71 & 0.20 & 0.27 & 2.71 & 0.00 & lasso \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.1 & 0.61 & 0.27 ( 0 ) & 4.72 ( 0.21 ) & 0 ( 0 ) & 9.72 & 0.35 & 0.27 & 4.72 & 0.00 & lasso \\\\\n", + "\t148 & 1000 & 50 & 0.9 & 0.05 & 0.29 & 0.26 ( 0 ) & 12.06 ( 0.52 ) & 0 ( 0 ) & 17.06 & 0.62 & 0.26 & 12.00 & 0.00 & elnet \\\\\n", + "\t152 & 1000 & 100 & 0.9 & 0.1 & 0.26 & 0.26 ( 0 ) & 16.05 ( 0.62 ) & 0 ( 0 ) & 21.05 & 0.69 & 0.26 & 16.00 & 0.00 & elnet \\\\\n", + "\t228 & 1000 & 50 & 0.9 & 0.05 & 0.85 & 0.1 ( 0 ) & 1.5 ( 0.07 ) & 2.46 ( 0.06 ) & 5.04 & 0.29 & 0.10 & 1.50 & 2.46 & rf \\\\\n", + "\t232 & 1000 & 100 & 0.9 & 0.1 & 0.80 & 0.12 ( 0 ) & 2.42 ( 0.11 ) & 1.89 ( 0.05 ) & 6.53 & 0.36 & 0.12 & 2.42 & 1.89 & rf \\\\\n", + "\t308 & 1000 & 50 & 0.9 & 0.05 & 0.71 & 0.3 ( 0 ) & 2.18 ( 0.19 ) & 0 ( 0 ) & 8.18 & 0.23 & 0.30 & 2.18 & 0.00 & compLasso \\\\\n", + "\t312 & 1000 & 100 & 0.9 & 0.1 & 0.67 & 0.3 ( 0 ) & 2.85 ( 0.24 ) & 0 ( 0 ) & 8.85 & 0.28 & 0.30 & 2.85 & 0.00 & compLasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.76 | 0.27 ( 0 ) | 2.71 ( 0.12 ) | 0 ( 0 ) | 7.71 | 0.20 | 0.27 | 2.71 | 0.00 | lasso |\n", + "| 72 | 1000 | 100 | 0.9 | 0.1 | 0.61 | 0.27 ( 0 ) | 4.72 ( 0.21 ) | 0 ( 0 ) | 9.72 | 0.35 | 0.27 | 4.72 | 0.00 | lasso |\n", + "| 148 | 1000 | 50 | 0.9 | 0.05 | 0.29 | 0.26 ( 0 ) | 12.06 ( 0.52 ) | 0 ( 0 ) | 17.06 | 0.62 | 0.26 | 12.00 | 0.00 | elnet |\n", + "| 152 | 1000 | 100 | 0.9 | 0.1 | 0.26 | 0.26 ( 0 ) | 16.05 ( 0.62 ) | 0 ( 0 ) | 21.05 | 0.69 | 0.26 | 16.00 | 0.00 | elnet |\n", + "| 228 | 1000 | 50 | 0.9 | 0.05 | 0.85 | 0.1 ( 0 ) | 1.5 ( 0.07 ) | 2.46 ( 0.06 ) | 5.04 | 0.29 | 0.10 | 1.50 | 2.46 | rf |\n", + "| 232 | 1000 | 100 | 0.9 | 0.1 | 0.80 | 0.12 ( 0 ) | 2.42 ( 0.11 ) | 1.89 ( 0.05 ) | 6.53 | 0.36 | 0.12 | 2.42 | 1.89 | rf |\n", + "| 308 | 1000 | 50 | 0.9 | 0.05 | 0.71 | 0.3 ( 0 ) | 2.18 ( 0.19 ) | 0 ( 0 ) | 8.18 | 0.23 | 0.30 | 2.18 | 0.00 | compLasso |\n", + "| 312 | 1000 | 100 | 0.9 | 0.1 | 0.67 | 0.3 ( 0 ) | 2.85 ( 0.24 ) | 0 ( 0 ) | 8.85 | 0.28 | 0.30 | 2.85 | 0.00 | compLasso |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "68 1000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) 7.71 \n", + "72 1000 100 0.9 0.1 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) 9.72 \n", + "148 1000 50 0.9 0.05 0.29 0.26 ( 0 ) 12.06 ( 0.52 ) 0 ( 0 ) 17.06 \n", + "152 1000 100 0.9 0.1 0.26 0.26 ( 0 ) 16.05 ( 0.62 ) 0 ( 0 ) 21.05 \n", + "228 1000 50 0.9 0.05 0.85 0.1 ( 0 ) 1.5 ( 0.07 ) 2.46 ( 0.06 ) 5.04 \n", + "232 1000 100 0.9 0.1 0.80 0.12 ( 0 ) 2.42 ( 0.11 ) 1.89 ( 0.05 ) 6.53 \n", + "308 1000 50 0.9 0.05 0.71 0.3 ( 0 ) 2.18 ( 0.19 ) 0 ( 0 ) 8.18 \n", + "312 1000 100 0.9 0.1 0.67 0.3 ( 0 ) 2.85 ( 0.24 ) 0 ( 0 ) 8.85 \n", + " FDR MSE_mean FP_mean FN_mean method \n", + "68 0.20 0.27 2.71 0.00 lasso \n", + "72 0.35 0.27 4.72 0.00 lasso \n", + "148 0.62 0.26 12.00 0.00 elnet \n", + "152 0.69 0.26 16.00 0.00 elnet \n", + "228 0.29 0.10 1.50 2.46 rf \n", + "232 0.36 0.12 2.42 1.89 rf \n", + "308 0.23 0.30 2.18 0.00 compLasso\n", + "312 0.28 0.30 2.85 0.00 compLasso" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "toe_hard[toe_hard$P %in% c(50, 100) & toe_hard$N %in% 1000, ]\n", + "# when N = 50, compLasso highest of 0.32 \n", + "# when N = 100, Lasso highest of 0.38\n", + "# when N = 500, compLasso highest of 0.67" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Figure 4: pitfall of using MSE for method comparisons" + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "metadata": {}, + "outputs": [], + "source": [ + "toe9_mse <- ggplot(toe_sub9, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab('') + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1)\n", + "\n", + "block1_mse <- ggplot(block_sub1, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ggtitle(\"Block Correlation 0.1\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "toe9_FN <- ggplot(toe_sub9, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "block1_FN <- ggplot(block_sub1, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6)\n", + "\n", + "toe9_FP <- ggplot(toe_sub9, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72)\n", + "\n", + "block1_FP <- ggplot(block_sub1, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72)" + ] + }, + { + "cell_type": "code", + "execution_count": 252, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Removed 1 rows containing missing values (geom_bar).”Warning message:\n", + "“Removed 1 rows containing missing values (geom_bar).”" + ] + } + ], + "source": [ + "methods_mse <- ggarrange(toe9_mse, block1_mse, toe9_FN, block1_FN,toe9_FP, block1_FP, \n", + " nrow=3, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/methods_mse.png\", methods_mse, dpi = 300, width = 6, height = 7)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.1000 0.2700 0.3000 0.3906 0.5325 1.0400 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/plain": [ + " Min. 1st Qu. Median Mean 3rd Qu. Max. \n", + " 0.0500 0.2150 0.3000 0.2622 0.3525 0.4100 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "summary(toe_sub9$MSE_mean)\n", + "summary(block_sub1$MSE_mean)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### use alternative false positive rate or false negative rate" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "metadata": {}, + "outputs": [], + "source": [ + "toe9_mse <- ggplot(toe_sub9, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab('') + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1)\n", + "\n", + "block1_mse <- ggplot(block_sub1, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ggtitle(\"Block Correlation 0.1\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) \n", + "\n", + "toe9_FNR <- ggplot(toe_sub9, aes(fill=method, y=FN_mean/6, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negative Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "block1_FNR <- ggplot(block_sub1, aes(fill=method, y=FN_mean/6, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negative Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "toe9_FPR <- ggplot(toe_sub9, aes(fill=method, y=FP_mean/num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positive Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "block1_FPR <- ggplot(block_sub1, aes(fill=method, y=FP_mean/num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positive Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Removed 1 rows containing missing values (geom_bar).”Warning message:\n", + "“Removed 1 rows containing missing values (geom_bar).”Warning message:\n", + "“Removed 4 rows containing missing values (geom_bar).”Warning message:\n", + "“Removed 4 rows containing missing values (geom_bar).”" + ] + } + ], + "source": [ + "methods_mse_rate <- ggarrange(toe9_mse, block1_mse, toe9_FNR, block1_FNR, toe9_FPR, block1_FPR, \n", + " nrow=3, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/methods_mse_rate.png\", methods_mse_rate, dpi = 300, width = 6, height = 7)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### updated calculation of False positive rate" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [], + "source": [ + "toe9_mse <- ggplot(toe_sub9, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab('') + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1.05)\n", + "\n", + "block1_mse <- ggplot(block_sub1, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ggtitle(\"Block Correlation 0.1\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1.05) \n", + "\n", + "toe9_FNR <- ggplot(toe_sub9, aes(fill=method, y=FN_mean/6, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negative Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "block1_FNR <- ggplot(block_sub1, aes(fill=method, y=FN_mean/6, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab('') + ylab(\"False Negative Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "toe9_FPR <- ggplot(toe_sub9, aes(fill=method, y=FDR, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positive Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n", + "\n", + "block1_FPR <- ggplot(block_sub1, aes(fill=method, y=FDR, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " xlab(\"Number of Samples\") + ylab(\"False Positive Rate\") + \n", + " theme(plot.title = element_text(hjust = 0.5, size=12, face=\"bold.italic\"), \n", + " legend.position=\"top\",\n", + " axis.title.x = element_text(size=10, face=\"bold\"),\n", + " axis.title.y = element_text(size=10, face=\"bold\"),\n", + " axis.text.x = element_text(angle = 55)) + \n", + " facet_grid(~P, labeller = label_both) \n" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Removed 4 rows containing missing values (geom_bar).”Warning message:\n", + "“Removed 4 rows containing missing values (geom_bar).”" + ] + } + ], + "source": [ + "methods_mse_rate <- ggarrange(toe9_mse, block1_mse, toe9_FNR, block1_FNR, toe9_FPR, block1_FPR, \n", + " nrow=3, ncol = 2, labels = \"AUTO\", common.legend = T, legend = \"bottom\") \n", + "ggsave(\"../ms_writing_figs/methods_mse_rate_new.png\", methods_mse_rate, dpi = 300, width = 6, height = 7)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_block_compLasso.ipynb b/simulations/notebooks_simulations/sim_block_compLasso.ipynb new file mode 100644 index 0000000..1f83e33 --- /dev/null +++ b/simulations/notebooks_simulations/sim_block_compLasso.ipynb @@ -0,0 +1,899 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/block_compLasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_block_compLasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_block = NULL\n", + "tmp_num_select = rep(0, length(results_block_compLasso))\n", + "for (i in 1:length(results_block_compLasso)){\n", + " table_block = rbind(table_block, results_block_compLasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_block_compLasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_block = as.data.frame(table_block)\n", + "table_block$num_select = tmp_num_select\n", + "table_block$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 2.8 ( 0.36 ) 5.01 ( 0.09 )0.36 ( 0.01 )0.03 3.79 0.62
    100 50 0.1 4.96 ( 0.55 )3.77 ( 0.14 )0.32 ( 0.01 )0.1 7.19 0.55
    500 50 0.1 8.81 ( 0.4 ) 0.78 ( 0.08 )0.28 ( 0 ) 0.26 14.03 0.60
    1000 50 0.1 8.37 ( 0.37 )0.24 ( 0.06 )0.27 ( 0 ) 0.31 14.13 0.56
    50 100 0.1 2.54 ( 0.37 )5.22 ( 0.08 )0.37 ( 0.02 )0.04 3.32 0.63
    100 100 0.1 3.99 ( 0.57 )4.63 ( 0.1 ) 0.35 ( 0.01 )0.07 5.36 0.56
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 2.8 ( 0.36 ) & 5.01 ( 0.09 ) & 0.36 ( 0.01 ) & 0.03 & 3.79 & 0.62 \\\\\n", + "\t 100 & 50 & 0.1 & 4.96 ( 0.55 ) & 3.77 ( 0.14 ) & 0.32 ( 0.01 ) & 0.1 & 7.19 & 0.55 \\\\\n", + "\t 500 & 50 & 0.1 & 8.81 ( 0.4 ) & 0.78 ( 0.08 ) & 0.28 ( 0 ) & 0.26 & 14.03 & 0.60 \\\\\n", + "\t 1000 & 50 & 0.1 & 8.37 ( 0.37 ) & 0.24 ( 0.06 ) & 0.27 ( 0 ) & 0.31 & 14.13 & 0.56 \\\\\n", + "\t 50 & 100 & 0.1 & 2.54 ( 0.37 ) & 5.22 ( 0.08 ) & 0.37 ( 0.02 ) & 0.04 & 3.32 & 0.63 \\\\\n", + "\t 100 & 100 & 0.1 & 3.99 ( 0.57 ) & 4.63 ( 0.1 ) & 0.35 ( 0.01 ) & 0.07 & 5.36 & 0.56 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 2.8 ( 0.36 ) | 5.01 ( 0.09 ) | 0.36 ( 0.01 ) | 0.03 | 3.79 | 0.62 |\n", + "| 100 | 50 | 0.1 | 4.96 ( 0.55 ) | 3.77 ( 0.14 ) | 0.32 ( 0.01 ) | 0.1 | 7.19 | 0.55 |\n", + "| 500 | 50 | 0.1 | 8.81 ( 0.4 ) | 0.78 ( 0.08 ) | 0.28 ( 0 ) | 0.26 | 14.03 | 0.60 |\n", + "| 1000 | 50 | 0.1 | 8.37 ( 0.37 ) | 0.24 ( 0.06 ) | 0.27 ( 0 ) | 0.31 | 14.13 | 0.56 |\n", + "| 50 | 100 | 0.1 | 2.54 ( 0.37 ) | 5.22 ( 0.08 ) | 0.37 ( 0.02 ) | 0.04 | 3.32 | 0.63 |\n", + "| 100 | 100 | 0.1 | 3.99 ( 0.57 ) | 4.63 ( 0.1 ) | 0.35 ( 0.01 ) | 0.07 | 5.36 | 0.56 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 2.8 ( 0.36 ) 5.01 ( 0.09 ) 0.36 ( 0.01 ) 0.03 3.79 0.62\n", + "2 100 50 0.1 4.96 ( 0.55 ) 3.77 ( 0.14 ) 0.32 ( 0.01 ) 0.1 7.19 0.55\n", + "3 500 50 0.1 8.81 ( 0.4 ) 0.78 ( 0.08 ) 0.28 ( 0 ) 0.26 14.03 0.60\n", + "4 1000 50 0.1 8.37 ( 0.37 ) 0.24 ( 0.06 ) 0.27 ( 0 ) 0.31 14.13 0.56\n", + "5 50 100 0.1 2.54 ( 0.37 ) 5.22 ( 0.08 ) 0.37 ( 0.02 ) 0.04 3.32 0.63\n", + "6 100 100 0.1 3.99 ( 0.57 ) 4.63 ( 0.1 ) 0.35 ( 0.01 ) 0.07 5.36 0.56" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_block <- apply(table_block,2,as.character)\n", + "rownames(result.table_block) = rownames(table_block)\n", + "result.table_block = as.data.frame(result.table_block)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_block$n = tidyr::extract_numeric(result.table_block$n)\n", + "result.table_block$p = tidyr::extract_numeric(result.table_block$p)\n", + "result.table_block$ratio = result.table_block$p / result.table_block$n\n", + "\n", + "result.table_block = result.table_block[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_block)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_block$Stab = as.numeric(as.character(result.table_block$Stab))\n", + "result.table_block$MSE_mean = as.numeric(substr(result.table_block$MSE, start=1, stop=4))\n", + "result.table_block$FP_mean = as.numeric(substr(result.table_block$FP, start=1, stop=4))\n", + "result.table_block$FN_mean = as.numeric(substr(result.table_block$FN, start=1, stop=4))\n", + "result.table_block$FN_mean[is.na(result.table_block$FN_mean)] = 0\n", + "result.table_block$num_select = as.numeric(as.character(result.table_block$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    21 50 100 0.3 2.0 0.27 0.94 ( 0.05 )6 ( 0.34 ) 1.93 ( 0.14 )10.07 0.54 0.94 NA 1.93
    26100 500 0.3 5.0 0.30 0.73 ( 0.03 )9 ( 0.76 ) 0.99 ( 0.12 )14.01 0.52 0.73 NA 0.99
    51500 50 0.7 0.1 0.90 1 ( 0.04 ) 0.58 ( 0.19 )0 ( 0 ) 6.58 0.06 NA 0.58 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.27 & 0.94 ( 0.05 ) & 6 ( 0.34 ) & 1.93 ( 0.14 ) & 10.07 & 0.54 & 0.94 & NA & 1.93 \\\\\n", + "\t26 & 100 & 500 & 0.3 & 5.0 & 0.30 & 0.73 ( 0.03 ) & 9 ( 0.76 ) & 0.99 ( 0.12 ) & 14.01 & 0.52 & 0.73 & NA & 0.99 \\\\\n", + "\t51 & 500 & 50 & 0.7 & 0.1 & 0.90 & 1 ( 0.04 ) & 0.58 ( 0.19 ) & 0 ( 0 ) & 6.58 & 0.06 & NA & 0.58 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.27 | 0.94 ( 0.05 ) | 6 ( 0.34 ) | 1.93 ( 0.14 ) | 10.07 | 0.54 | 0.94 | NA | 1.93 |\n", + "| 26 | 100 | 500 | 0.3 | 5.0 | 0.30 | 0.73 ( 0.03 ) | 9 ( 0.76 ) | 0.99 ( 0.12 ) | 14.01 | 0.52 | 0.73 | NA | 0.99 |\n", + "| 51 | 500 | 50 | 0.7 | 0.1 | 0.90 | 1 ( 0.04 ) | 0.58 ( 0.19 ) | 0 ( 0 ) | 6.58 | 0.06 | NA | 0.58 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "21 50 100 0.3 2.0 0.27 0.94 ( 0.05 ) 6 ( 0.34 ) 1.93 ( 0.14 ) 10.07 \n", + "26 100 500 0.3 5.0 0.30 0.73 ( 0.03 ) 9 ( 0.76 ) 0.99 ( 0.12 ) 14.01 \n", + "51 500 50 0.7 0.1 0.90 1 ( 0.04 ) 0.58 ( 0.19 ) 0 ( 0 ) 6.58 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "21 0.54 0.94 NA 1.93 \n", + "26 0.52 0.73 NA 0.99 \n", + "51 0.06 NA 0.58 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_block[rowSums(is.na(result.table_block)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_block$FP_mean[is.na(result.table_block$FP_mean)] = 6\n", + "result.table_block$MSE_mean[is.na(result.table_block$MSE_mean)] = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    21 50 100 0.3 2.0 0.27 0.94 ( 0.05 )6 ( 0.34 ) 1.93 ( 0.14 )10.07 0.54 0.94 6.00 1.93
    26100 500 0.3 5.0 0.30 0.73 ( 0.03 )9 ( 0.76 ) 0.99 ( 0.12 )14.01 0.52 0.73 6.00 0.99
    51500 50 0.7 0.1 0.90 1 ( 0.04 ) 0.58 ( 0.19 )0 ( 0 ) 6.58 0.06 1.00 0.58 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.27 & 0.94 ( 0.05 ) & 6 ( 0.34 ) & 1.93 ( 0.14 ) & 10.07 & 0.54 & 0.94 & 6.00 & 1.93 \\\\\n", + "\t26 & 100 & 500 & 0.3 & 5.0 & 0.30 & 0.73 ( 0.03 ) & 9 ( 0.76 ) & 0.99 ( 0.12 ) & 14.01 & 0.52 & 0.73 & 6.00 & 0.99 \\\\\n", + "\t51 & 500 & 50 & 0.7 & 0.1 & 0.90 & 1 ( 0.04 ) & 0.58 ( 0.19 ) & 0 ( 0 ) & 6.58 & 0.06 & 1.00 & 0.58 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.27 | 0.94 ( 0.05 ) | 6 ( 0.34 ) | 1.93 ( 0.14 ) | 10.07 | 0.54 | 0.94 | 6.00 | 1.93 |\n", + "| 26 | 100 | 500 | 0.3 | 5.0 | 0.30 | 0.73 ( 0.03 ) | 9 ( 0.76 ) | 0.99 ( 0.12 ) | 14.01 | 0.52 | 0.73 | 6.00 | 0.99 |\n", + "| 51 | 500 | 50 | 0.7 | 0.1 | 0.90 | 1 ( 0.04 ) | 0.58 ( 0.19 ) | 0 ( 0 ) | 6.58 | 0.06 | 1.00 | 0.58 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "21 50 100 0.3 2.0 0.27 0.94 ( 0.05 ) 6 ( 0.34 ) 1.93 ( 0.14 ) 10.07 \n", + "26 100 500 0.3 5.0 0.30 0.73 ( 0.03 ) 9 ( 0.76 ) 0.99 ( 0.12 ) 14.01 \n", + "51 500 50 0.7 0.1 0.90 1 ( 0.04 ) 0.58 ( 0.19 ) 0 ( 0 ) 6.58 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "21 0.54 0.94 6.00 1.93 \n", + "26 0.52 0.73 6.00 0.99 \n", + "51 0.06 1.00 0.58 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[c(21,26,51), ]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.03 0.36 ( 0.01 )2.8 ( 0.36 ) 5.01 ( 0.09 ) 3.79 0.62 0.36 2.80 5.01
    100 50 0.1 0.50 0.10 0.32 ( 0.01 )4.96 ( 0.55 )3.77 ( 0.14 ) 7.19 0.55 0.32 4.96 3.77
    500 50 0.1 0.10 0.26 0.28 ( 0 ) 8.81 ( 0.4 ) 0.78 ( 0.08 )14.03 0.6 0.28 8.81 0.78
    1000 50 0.1 0.05 0.31 0.27 ( 0 ) 8.37 ( 0.37 )0.24 ( 0.06 )14.13 0.56 0.27 8.37 0.24
    50 100 0.1 2.00 0.04 0.37 ( 0.02 )2.54 ( 0.37 )5.22 ( 0.08 ) 3.32 0.63 0.37 2.54 5.22
    100 100 0.1 1.00 0.07 0.35 ( 0.01 )3.99 ( 0.57 )4.63 ( 0.1 ) 5.36 0.56 0.35 3.99 4.63
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.03 & 0.36 ( 0.01 ) & 2.8 ( 0.36 ) & 5.01 ( 0.09 ) & 3.79 & 0.62 & 0.36 & 2.80 & 5.01 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.10 & 0.32 ( 0.01 ) & 4.96 ( 0.55 ) & 3.77 ( 0.14 ) & 7.19 & 0.55 & 0.32 & 4.96 & 3.77 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.26 & 0.28 ( 0 ) & 8.81 ( 0.4 ) & 0.78 ( 0.08 ) & 14.03 & 0.6 & 0.28 & 8.81 & 0.78 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.31 & 0.27 ( 0 ) & 8.37 ( 0.37 ) & 0.24 ( 0.06 ) & 14.13 & 0.56 & 0.27 & 8.37 & 0.24 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.04 & 0.37 ( 0.02 ) & 2.54 ( 0.37 ) & 5.22 ( 0.08 ) & 3.32 & 0.63 & 0.37 & 2.54 & 5.22 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.07 & 0.35 ( 0.01 ) & 3.99 ( 0.57 ) & 4.63 ( 0.1 ) & 5.36 & 0.56 & 0.35 & 3.99 & 4.63 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.03 | 0.36 ( 0.01 ) | 2.8 ( 0.36 ) | 5.01 ( 0.09 ) | 3.79 | 0.62 | 0.36 | 2.80 | 5.01 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.10 | 0.32 ( 0.01 ) | 4.96 ( 0.55 ) | 3.77 ( 0.14 ) | 7.19 | 0.55 | 0.32 | 4.96 | 3.77 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.26 | 0.28 ( 0 ) | 8.81 ( 0.4 ) | 0.78 ( 0.08 ) | 14.03 | 0.6 | 0.28 | 8.81 | 0.78 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.31 | 0.27 ( 0 ) | 8.37 ( 0.37 ) | 0.24 ( 0.06 ) | 14.13 | 0.56 | 0.27 | 8.37 | 0.24 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.04 | 0.37 ( 0.02 ) | 2.54 ( 0.37 ) | 5.22 ( 0.08 ) | 3.32 | 0.63 | 0.37 | 2.54 | 5.22 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.07 | 0.35 ( 0.01 ) | 3.99 ( 0.57 ) | 4.63 ( 0.1 ) | 5.36 | 0.56 | 0.35 | 3.99 | 4.63 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.03 0.36 ( 0.01 ) 2.8 ( 0.36 ) 5.01 ( 0.09 ) 3.79 \n", + "2 100 50 0.1 0.50 0.10 0.32 ( 0.01 ) 4.96 ( 0.55 ) 3.77 ( 0.14 ) 7.19 \n", + "3 500 50 0.1 0.10 0.26 0.28 ( 0 ) 8.81 ( 0.4 ) 0.78 ( 0.08 ) 14.03 \n", + "4 1000 50 0.1 0.05 0.31 0.27 ( 0 ) 8.37 ( 0.37 ) 0.24 ( 0.06 ) 14.13 \n", + "5 50 100 0.1 2.00 0.04 0.37 ( 0.02 ) 2.54 ( 0.37 ) 5.22 ( 0.08 ) 3.32 \n", + "6 100 100 0.1 1.00 0.07 0.35 ( 0.01 ) 3.99 ( 0.57 ) 4.63 ( 0.1 ) 5.36 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.62 0.36 2.80 5.01 \n", + "2 0.55 0.32 4.96 3.77 \n", + "3 0.6 0.28 8.81 0.78 \n", + "4 0.56 0.27 8.37 0.24 \n", + "5 0.63 0.37 2.54 5.22 \n", + "6 0.56 0.35 3.99 4.63 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    75 500 500 0.9 1.0 0.93 1.27 ( 0.05 )0.44 ( 0.18 )0 ( 0 ) 6.44 0.04 1.27 0.44 0.00
    761000 500 0.9 0.5 0.96 1.31 ( 0.05 )0.23 ( 0.06 )0 ( 0 ) 6.23 0.03 1.31 0.23 0.00
    77 50 1000 0.9 20.0 0.23 3.37 ( 0.19 )5.29 ( 0.41 )3.13 ( 0.15 ) 8.16 0.57 3.37 5.29 3.13
    78 100 1000 0.9 10.0 0.56 1.14 ( 0.05 )4.56 ( 0.38 )0.07 ( 0.03 )10.49 0.37 1.14 4.56 0.07
    79 500 1000 0.9 2.0 0.96 1.28 ( 0.04 )0.27 ( 0.11 )0 ( 0 ) 6.27 0.03 1.28 0.27 0.00
    801000 1000 0.9 1.0 0.95 1.35 ( 0.05 )0.29 ( 0.09 )0 ( 0 ) 6.29 0.03 1.35 0.29 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.93 & 1.27 ( 0.05 ) & 0.44 ( 0.18 ) & 0 ( 0 ) & 6.44 & 0.04 & 1.27 & 0.44 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.96 & 1.31 ( 0.05 ) & 0.23 ( 0.06 ) & 0 ( 0 ) & 6.23 & 0.03 & 1.31 & 0.23 & 0.00 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.23 & 3.37 ( 0.19 ) & 5.29 ( 0.41 ) & 3.13 ( 0.15 ) & 8.16 & 0.57 & 3.37 & 5.29 & 3.13 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.56 & 1.14 ( 0.05 ) & 4.56 ( 0.38 ) & 0.07 ( 0.03 ) & 10.49 & 0.37 & 1.14 & 4.56 & 0.07 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.96 & 1.28 ( 0.04 ) & 0.27 ( 0.11 ) & 0 ( 0 ) & 6.27 & 0.03 & 1.28 & 0.27 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.95 & 1.35 ( 0.05 ) & 0.29 ( 0.09 ) & 0 ( 0 ) & 6.29 & 0.03 & 1.35 & 0.29 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.93 | 1.27 ( 0.05 ) | 0.44 ( 0.18 ) | 0 ( 0 ) | 6.44 | 0.04 | 1.27 | 0.44 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.96 | 1.31 ( 0.05 ) | 0.23 ( 0.06 ) | 0 ( 0 ) | 6.23 | 0.03 | 1.31 | 0.23 | 0.00 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.23 | 3.37 ( 0.19 ) | 5.29 ( 0.41 ) | 3.13 ( 0.15 ) | 8.16 | 0.57 | 3.37 | 5.29 | 3.13 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.56 | 1.14 ( 0.05 ) | 4.56 ( 0.38 ) | 0.07 ( 0.03 ) | 10.49 | 0.37 | 1.14 | 4.56 | 0.07 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.96 | 1.28 ( 0.04 ) | 0.27 ( 0.11 ) | 0 ( 0 ) | 6.27 | 0.03 | 1.28 | 0.27 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.95 | 1.35 ( 0.05 ) | 0.29 ( 0.09 ) | 0 ( 0 ) | 6.29 | 0.03 | 1.35 | 0.29 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.93 1.27 ( 0.05 ) 0.44 ( 0.18 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.5 0.96 1.31 ( 0.05 ) 0.23 ( 0.06 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.23 3.37 ( 0.19 ) 5.29 ( 0.41 ) 3.13 ( 0.15 )\n", + "78 100 1000 0.9 10.0 0.56 1.14 ( 0.05 ) 4.56 ( 0.38 ) 0.07 ( 0.03 )\n", + "79 500 1000 0.9 2.0 0.96 1.28 ( 0.04 ) 0.27 ( 0.11 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.0 0.95 1.35 ( 0.05 ) 0.29 ( 0.09 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 6.44 0.04 1.27 0.44 0.00 \n", + "76 6.23 0.03 1.31 0.23 0.00 \n", + "77 8.16 0.57 3.37 5.29 3.13 \n", + "78 10.49 0.37 1.14 4.56 0.07 \n", + "79 6.27 0.03 1.28 0.27 0.00 \n", + "80 6.29 0.03 1.35 0.29 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_block, '../results_summary/sim_block_compLasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_block_compLasso.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_block$N = as.factor(result.table_block$N)\n", + "fig_block_stab = ggplot(result.table_block, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_block_mse = ggplot(result.table_block, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_block_fp = ggplot(result.table_block, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_block_fn = ggplot(result.table_block, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_block_stab, fig_block_mse, fig_block_fp, fig_block_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Block_compLasso\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_block_compLasso.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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    NPCorrRatioStabMSEFPFNMSE_meanFP_meanFN_mean
    150 50 0.1 1.0 0.03 0.36 ( 0.01 )2.8 ( 0.36 ) 5.01 ( 0.09 )0.36 2.80 5.01
    1750 50 0.3 1.0 0.32 0.8 ( 0.05 ) 5.34 ( 0.32 )1.21 ( 0.12 )0.80 5.34 1.21
    3350 50 0.5 1.0 0.42 0.77 ( 0.04 )5.49 ( 0.31 )0.25 ( 0.06 )0.77 5.49 0.25
    4950 50 0.7 1.0 0.49 0.8 ( 0.06 ) 4.27 ( 0.31 )0.24 ( 0.06 )0.80 4.27 0.24
    6550 50 0.9 1.0 0.48 0.92 ( 0.07 )4.7 ( 0.32 ) 0.14 ( 0.04 )0.92 4.70 0.14
    550 100 0.1 2.0 0.04 0.37 ( 0.02 )2.54 ( 0.37 )5.22 ( 0.08 )0.37 2.54 5.22
    2150 100 0.3 2.0 0.27 0.94 ( 0.05 )6 ( 0.34 ) 1.93 ( 0.14 )0.94 6.00 1.93
    3750 100 0.5 2.0 0.36 1.03 ( 0.07 )5.95 ( 0.33 )0.96 ( 0.11 )1.03 5.95 0.96
    5350 100 0.7 2.0 0.42 1.14 ( 0.08 )5.46 ( 0.32 )0.55 ( 0.09 )1.14 5.46 0.55
    6950 100 0.9 2.0 0.42 1.28 ( 0.08 )5.86 ( 0.29 )0.47 ( 0.09 )1.28 5.86 0.47
    950 500 0.1 10.0 0.01 0.36 ( 0.02 )3.53 ( 0.44 )5.62 ( 0.07 )0.36 3.53 5.62
    2550 500 0.3 10.0 0.13 1.31 ( 0.06 )5.44 ( 0.44 )3.96 ( 0.15 )1.31 5.44 3.96
    4150 500 0.5 10.0 0.22 1.93 ( 0.1 ) 5.08 ( 0.41 )3.23 ( 0.15 )1.93 5.08 3.23
    5750 500 0.7 10.0 0.26 2.76 ( 0.17 )5.16 ( 0.4 ) 2.65 ( 0.15 )2.76 5.16 2.65
    7350 500 0.9 10.0 0.25 3.06 ( 0.18 )5.42 ( 0.4 ) 2.69 ( 0.15 )3.06 5.42 2.69
    1350 1000 0.1 20.0 0.00 0.37 ( 0.02 )4.53 ( 0.54 )5.71 ( 0.06 )0.37 4.53 5.71
    2950 1000 0.3 20.0 0.07 1.55 ( 0.08 )3.96 ( 0.47 )4.74 ( 0.14 )1.55 3.96 4.74
    4550 1000 0.5 20.0 0.15 2.1 ( 0.11 ) 5.84 ( 0.49 )3.77 ( 0.14 )2.10 5.84 3.77
    6150 1000 0.7 20.0 0.20 3.02 ( 0.16 )5.41 ( 0.43 )3.39 ( 0.13 )3.02 5.41 3.39
    7750 1000 0.9 20.0 0.23 3.37 ( 0.19 )5.29 ( 0.41 )3.13 ( 0.15 )3.37 5.29 3.13
    2100 50 0.1 0.5 0.10 0.32 ( 0.01 )4.96 ( 0.55 )3.77 ( 0.14 )0.32 4.96 3.77
    18100 50 0.3 0.5 0.50 0.52 ( 0.02 )4.42 ( 0.52 )0.1 ( 0.03 ) 0.52 4.42 0.10
    34100 50 0.5 0.5 0.68 0.6 ( 0.03 ) 2.34 ( 0.31 )0.01 ( 0.01 )0.60 2.34 0.01
    50100 50 0.7 0.5 0.75 0.75 ( 0.03 )1.71 ( 0.28 )0 ( 0 ) 0.75 1.71 0.00
    66100 50 0.9 0.5 0.76 0.94 ( 0.05 )1.59 ( 0.25 )0 ( 0 ) 0.94 1.59 0.00
    6100 100 0.1 1.0 0.07 0.35 ( 0.01 )3.99 ( 0.57 )4.63 ( 0.1 ) 0.35 3.99 4.63
    22100 100 0.3 1.0 0.47 0.53 ( 0.02 )5.24 ( 0.45 )0.24 ( 0.06 )0.53 5.24 0.24
    38100 100 0.5 1.0 0.65 0.64 ( 0.03 )2.9 ( 0.32 ) 0.03 ( 0.02 )0.64 2.90 0.03
    54100 100 0.7 1.0 0.69 0.82 ( 0.04 )2.46 ( 0.41 )0 ( 0 ) 0.82 2.46 0.00
    70100 100 0.9 1.0 0.81 0.94 ( 0.04 )1.34 ( 0.23 )0 ( 0 ) 0.94 1.34 0.00
    ....................................
    11500 500 0.1 1.00 0.36 0.32 ( 0.01 ) 2.42 ( 0.56 ) 3.74 ( 0.08 ) 0.32 2.42 3.74
    27500 500 0.3 1.00 0.95 0.55 ( 0.01 ) 0.31 ( 0.08 ) 0 ( 0 ) 0.55 0.31 0.00
    43500 500 0.5 1.00 0.94 0.83 ( 0.03 ) 0.36 ( 0.11 ) 0 ( 0 ) 0.83 0.36 0.00
    59500 500 0.7 1.00 0.94 1.05 ( 0.04 ) 0.35 ( 0.1 ) 0 ( 0 ) 1.05 0.35 0.00
    75500 500 0.9 1.00 0.93 1.27 ( 0.05 ) 0.44 ( 0.18 ) 0 ( 0 ) 1.27 0.44 0.00
    15500 1000 0.1 2.00 0.52 0.34 ( 0 ) 0.93 ( 0.19 ) 3.83 ( 0.06 ) 0.34 0.93 3.83
    31500 1000 0.3 2.00 0.92 0.56 ( 0.01 ) 0.52 ( 0.14 ) 0 ( 0 ) 0.56 0.52 0.00
    47500 1000 0.5 2.00 0.98 0.86 ( 0.02 ) 0.13 ( 0.05 ) 0 ( 0 ) 0.86 0.13 0.00
    63500 1000 0.7 2.00 0.95 1.04 ( 0.04 ) 0.31 ( 0.1 ) 0 ( 0 ) 1.04 0.31 0.00
    79500 1000 0.9 2.00 0.96 1.28 ( 0.04 ) 0.27 ( 0.11 ) 0 ( 0 ) 1.28 0.27 0.00
    41000 50 0.1 0.05 0.31 0.27 ( 0 ) 8.37 ( 0.37 ) 0.24 ( 0.06 ) 0.27 8.37 0.24
    201000 50 0.3 0.05 0.89 0.56 ( 0.02 ) 0.66 ( 0.18 ) 0 ( 0 ) 0.56 0.66 0.00
    361000 50 0.5 0.05 0.88 0.78 ( 0.03 ) 0.7 ( 0.21 ) 0 ( 0 ) 0.78 0.70 0.00
    521000 50 0.7 0.05 0.92 0.98 ( 0.04 ) 0.43 ( 0.09 ) 0 ( 0 ) 0.98 0.43 0.00
    681000 50 0.9 0.05 0.89 1.28 ( 0.05 ) 0.62 ( 0.19 ) 0 ( 0 ) 1.28 0.62 0.00
    81000 100 0.1 0.10 0.23 0.28 ( 0 ) 13.35 ( 0.59 )0.47 ( 0.07 ) 0.28 13.30 0.47
    241000 100 0.3 0.10 0.92 0.55 ( 0.02 ) 0.51 ( 0.15 ) 0 ( 0 ) 0.55 0.51 0.00
    401000 100 0.5 0.10 0.93 0.8 ( 0.03 ) 0.4 ( 0.09 ) 0 ( 0 ) 0.80 0.40 0.00
    561000 100 0.7 0.10 0.94 1.08 ( 0.04 ) 0.36 ( 0.09 ) 0 ( 0 ) 1.08 0.36 0.00
    721000 100 0.9 0.10 0.94 1.32 ( 0.05 ) 0.34 ( 0.1 ) 0 ( 0 ) 1.32 0.34 0.00
    121000 500 0.1 0.50 0.14 0.3 ( 0 ) 19.4 ( 1.74 ) 2.05 ( 0.12 ) 0.30 19.40 2.05
    281000 500 0.3 0.50 0.92 0.57 ( 0.02 ) 0.49 ( 0.14 ) 0 ( 0 ) 0.57 0.49 0.00
    441000 500 0.5 0.50 0.97 0.87 ( 0.03 ) 0.19 ( 0.06 ) 0 ( 0 ) 0.87 0.19 0.00
    601000 500 0.7 0.50 0.98 1.14 ( 0.04 ) 0.14 ( 0.04 ) 0 ( 0 ) 1.14 0.14 0.00
    761000 500 0.9 0.50 0.96 1.31 ( 0.05 ) 0.23 ( 0.06 ) 0 ( 0 ) 1.31 0.23 0.00
    161000 1000 0.1 1.00 0.21 0.31 ( 0 ) 8.59 ( 1.37 ) 2.96 ( 0.1 ) 0.31 8.59 2.96
    321000 1000 0.3 1.00 0.95 0.56 ( 0.02 ) 0.29 ( 0.08 ) 0 ( 0 ) 0.56 0.29 0.00
    481000 1000 0.5 1.00 0.95 0.85 ( 0.02 ) 0.3 ( 0.11 ) 0 ( 0 ) 0.85 0.30 0.00
    641000 1000 0.7 1.00 0.97 1.13 ( 0.04 ) 0.21 ( 0.07 ) 0 ( 0 ) 1.13 0.21 0.00
    801000 1000 0.9 1.00 0.95 1.35 ( 0.05 ) 0.29 ( 0.09 ) 0 ( 0 ) 1.35 0.29 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.03 & 0.36 ( 0.01 ) & 2.8 ( 0.36 ) & 5.01 ( 0.09 ) & 0.36 & 2.80 & 5.01 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.32 & 0.8 ( 0.05 ) & 5.34 ( 0.32 ) & 1.21 ( 0.12 ) & 0.80 & 5.34 & 1.21 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.42 & 0.77 ( 0.04 ) & 5.49 ( 0.31 ) & 0.25 ( 0.06 ) & 0.77 & 5.49 & 0.25 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.49 & 0.8 ( 0.06 ) & 4.27 ( 0.31 ) & 0.24 ( 0.06 ) & 0.80 & 4.27 & 0.24 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.48 & 0.92 ( 0.07 ) & 4.7 ( 0.32 ) & 0.14 ( 0.04 ) & 0.92 & 4.70 & 0.14 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.04 & 0.37 ( 0.02 ) & 2.54 ( 0.37 ) & 5.22 ( 0.08 ) & 0.37 & 2.54 & 5.22 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.27 & 0.94 ( 0.05 ) & 6 ( 0.34 ) & 1.93 ( 0.14 ) & 0.94 & 6.00 & 1.93 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.36 & 1.03 ( 0.07 ) & 5.95 ( 0.33 ) & 0.96 ( 0.11 ) & 1.03 & 5.95 & 0.96 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.42 & 1.14 ( 0.08 ) & 5.46 ( 0.32 ) & 0.55 ( 0.09 ) & 1.14 & 5.46 & 0.55 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.42 & 1.28 ( 0.08 ) & 5.86 ( 0.29 ) & 0.47 ( 0.09 ) & 1.28 & 5.86 & 0.47 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.01 & 0.36 ( 0.02 ) & 3.53 ( 0.44 ) & 5.62 ( 0.07 ) & 0.36 & 3.53 & 5.62 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.13 & 1.31 ( 0.06 ) & 5.44 ( 0.44 ) & 3.96 ( 0.15 ) & 1.31 & 5.44 & 3.96 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.22 & 1.93 ( 0.1 ) & 5.08 ( 0.41 ) & 3.23 ( 0.15 ) & 1.93 & 5.08 & 3.23 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.26 & 2.76 ( 0.17 ) & 5.16 ( 0.4 ) & 2.65 ( 0.15 ) & 2.76 & 5.16 & 2.65 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.25 & 3.06 ( 0.18 ) & 5.42 ( 0.4 ) & 2.69 ( 0.15 ) & 3.06 & 5.42 & 2.69 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.00 & 0.37 ( 0.02 ) & 4.53 ( 0.54 ) & 5.71 ( 0.06 ) & 0.37 & 4.53 & 5.71 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.07 & 1.55 ( 0.08 ) & 3.96 ( 0.47 ) & 4.74 ( 0.14 ) & 1.55 & 3.96 & 4.74 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.15 & 2.1 ( 0.11 ) & 5.84 ( 0.49 ) & 3.77 ( 0.14 ) & 2.10 & 5.84 & 3.77 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.20 & 3.02 ( 0.16 ) & 5.41 ( 0.43 ) & 3.39 ( 0.13 ) & 3.02 & 5.41 & 3.39 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.23 & 3.37 ( 0.19 ) & 5.29 ( 0.41 ) & 3.13 ( 0.15 ) & 3.37 & 5.29 & 3.13 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.10 & 0.32 ( 0.01 ) & 4.96 ( 0.55 ) & 3.77 ( 0.14 ) & 0.32 & 4.96 & 3.77 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.50 & 0.52 ( 0.02 ) & 4.42 ( 0.52 ) & 0.1 ( 0.03 ) & 0.52 & 4.42 & 0.10 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.68 & 0.6 ( 0.03 ) & 2.34 ( 0.31 ) & 0.01 ( 0.01 ) & 0.60 & 2.34 & 0.01 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.75 & 0.75 ( 0.03 ) & 1.71 ( 0.28 ) & 0 ( 0 ) & 0.75 & 1.71 & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.76 & 0.94 ( 0.05 ) & 1.59 ( 0.25 ) & 0 ( 0 ) & 0.94 & 1.59 & 0.00 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.07 & 0.35 ( 0.01 ) & 3.99 ( 0.57 ) & 4.63 ( 0.1 ) & 0.35 & 3.99 & 4.63 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.47 & 0.53 ( 0.02 ) & 5.24 ( 0.45 ) & 0.24 ( 0.06 ) & 0.53 & 5.24 & 0.24 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.65 & 0.64 ( 0.03 ) & 2.9 ( 0.32 ) & 0.03 ( 0.02 ) & 0.64 & 2.90 & 0.03 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.69 & 0.82 ( 0.04 ) & 2.46 ( 0.41 ) & 0 ( 0 ) & 0.82 & 2.46 & 0.00 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.81 & 0.94 ( 0.04 ) & 1.34 ( 0.23 ) & 0 ( 0 ) & 0.94 & 1.34 & 0.00 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.36 & 0.32 ( 0.01 ) & 2.42 ( 0.56 ) & 3.74 ( 0.08 ) & 0.32 & 2.42 & 3.74 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.95 & 0.55 ( 0.01 ) & 0.31 ( 0.08 ) & 0 ( 0 ) & 0.55 & 0.31 & 0.00 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.94 & 0.83 ( 0.03 ) & 0.36 ( 0.11 ) & 0 ( 0 ) & 0.83 & 0.36 & 0.00 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.94 & 1.05 ( 0.04 ) & 0.35 ( 0.1 ) & 0 ( 0 ) & 1.05 & 0.35 & 0.00 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.93 & 1.27 ( 0.05 ) & 0.44 ( 0.18 ) & 0 ( 0 ) & 1.27 & 0.44 & 0.00 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.52 & 0.34 ( 0 ) & 0.93 ( 0.19 ) & 3.83 ( 0.06 ) & 0.34 & 0.93 & 3.83 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.92 & 0.56 ( 0.01 ) & 0.52 ( 0.14 ) & 0 ( 0 ) & 0.56 & 0.52 & 0.00 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.98 & 0.86 ( 0.02 ) & 0.13 ( 0.05 ) & 0 ( 0 ) & 0.86 & 0.13 & 0.00 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.95 & 1.04 ( 0.04 ) & 0.31 ( 0.1 ) & 0 ( 0 ) & 1.04 & 0.31 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.96 & 1.28 ( 0.04 ) & 0.27 ( 0.11 ) & 0 ( 0 ) & 1.28 & 0.27 & 0.00 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.31 & 0.27 ( 0 ) & 8.37 ( 0.37 ) & 0.24 ( 0.06 ) & 0.27 & 8.37 & 0.24 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.89 & 0.56 ( 0.02 ) & 0.66 ( 0.18 ) & 0 ( 0 ) & 0.56 & 0.66 & 0.00 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.88 & 0.78 ( 0.03 ) & 0.7 ( 0.21 ) & 0 ( 0 ) & 0.78 & 0.70 & 0.00 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.92 & 0.98 ( 0.04 ) & 0.43 ( 0.09 ) & 0 ( 0 ) & 0.98 & 0.43 & 0.00 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.89 & 1.28 ( 0.05 ) & 0.62 ( 0.19 ) & 0 ( 0 ) & 1.28 & 0.62 & 0.00 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.23 & 0.28 ( 0 ) & 13.35 ( 0.59 ) & 0.47 ( 0.07 ) & 0.28 & 13.30 & 0.47 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.92 & 0.55 ( 0.02 ) & 0.51 ( 0.15 ) & 0 ( 0 ) & 0.55 & 0.51 & 0.00 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.93 & 0.8 ( 0.03 ) & 0.4 ( 0.09 ) & 0 ( 0 ) & 0.80 & 0.40 & 0.00 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.94 & 1.08 ( 0.04 ) & 0.36 ( 0.09 ) & 0 ( 0 ) & 1.08 & 0.36 & 0.00 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.94 & 1.32 ( 0.05 ) & 0.34 ( 0.1 ) & 0 ( 0 ) & 1.32 & 0.34 & 0.00 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.14 & 0.3 ( 0 ) & 19.4 ( 1.74 ) & 2.05 ( 0.12 ) & 0.30 & 19.40 & 2.05 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.92 & 0.57 ( 0.02 ) & 0.49 ( 0.14 ) & 0 ( 0 ) & 0.57 & 0.49 & 0.00 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.97 & 0.87 ( 0.03 ) & 0.19 ( 0.06 ) & 0 ( 0 ) & 0.87 & 0.19 & 0.00 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.98 & 1.14 ( 0.04 ) & 0.14 ( 0.04 ) & 0 ( 0 ) & 1.14 & 0.14 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.96 & 1.31 ( 0.05 ) & 0.23 ( 0.06 ) & 0 ( 0 ) & 1.31 & 0.23 & 0.00 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.21 & 0.31 ( 0 ) & 8.59 ( 1.37 ) & 2.96 ( 0.1 ) & 0.31 & 8.59 & 2.96 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.95 & 0.56 ( 0.02 ) & 0.29 ( 0.08 ) & 0 ( 0 ) & 0.56 & 0.29 & 0.00 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.95 & 0.85 ( 0.02 ) & 0.3 ( 0.11 ) & 0 ( 0 ) & 0.85 & 0.30 & 0.00 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.97 & 1.13 ( 0.04 ) & 0.21 ( 0.07 ) & 0 ( 0 ) & 1.13 & 0.21 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.95 & 1.35 ( 0.05 ) & 0.29 ( 0.09 ) & 0 ( 0 ) & 1.35 & 0.29 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.03 | 0.36 ( 0.01 ) | 2.8 ( 0.36 ) | 5.01 ( 0.09 ) | 0.36 | 2.80 | 5.01 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.32 | 0.8 ( 0.05 ) | 5.34 ( 0.32 ) | 1.21 ( 0.12 ) | 0.80 | 5.34 | 1.21 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.42 | 0.77 ( 0.04 ) | 5.49 ( 0.31 ) | 0.25 ( 0.06 ) | 0.77 | 5.49 | 0.25 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.49 | 0.8 ( 0.06 ) | 4.27 ( 0.31 ) | 0.24 ( 0.06 ) | 0.80 | 4.27 | 0.24 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.48 | 0.92 ( 0.07 ) | 4.7 ( 0.32 ) | 0.14 ( 0.04 ) | 0.92 | 4.70 | 0.14 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.04 | 0.37 ( 0.02 ) | 2.54 ( 0.37 ) | 5.22 ( 0.08 ) | 0.37 | 2.54 | 5.22 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.27 | 0.94 ( 0.05 ) | 6 ( 0.34 ) | 1.93 ( 0.14 ) | 0.94 | 6.00 | 1.93 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.36 | 1.03 ( 0.07 ) | 5.95 ( 0.33 ) | 0.96 ( 0.11 ) | 1.03 | 5.95 | 0.96 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.42 | 1.14 ( 0.08 ) | 5.46 ( 0.32 ) | 0.55 ( 0.09 ) | 1.14 | 5.46 | 0.55 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.42 | 1.28 ( 0.08 ) | 5.86 ( 0.29 ) | 0.47 ( 0.09 ) | 1.28 | 5.86 | 0.47 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.01 | 0.36 ( 0.02 ) | 3.53 ( 0.44 ) | 5.62 ( 0.07 ) | 0.36 | 3.53 | 5.62 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.13 | 1.31 ( 0.06 ) | 5.44 ( 0.44 ) | 3.96 ( 0.15 ) | 1.31 | 5.44 | 3.96 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.22 | 1.93 ( 0.1 ) | 5.08 ( 0.41 ) | 3.23 ( 0.15 ) | 1.93 | 5.08 | 3.23 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.26 | 2.76 ( 0.17 ) | 5.16 ( 0.4 ) | 2.65 ( 0.15 ) | 2.76 | 5.16 | 2.65 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.25 | 3.06 ( 0.18 ) | 5.42 ( 0.4 ) | 2.69 ( 0.15 ) | 3.06 | 5.42 | 2.69 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.00 | 0.37 ( 0.02 ) | 4.53 ( 0.54 ) | 5.71 ( 0.06 ) | 0.37 | 4.53 | 5.71 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.07 | 1.55 ( 0.08 ) | 3.96 ( 0.47 ) | 4.74 ( 0.14 ) | 1.55 | 3.96 | 4.74 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.15 | 2.1 ( 0.11 ) | 5.84 ( 0.49 ) | 3.77 ( 0.14 ) | 2.10 | 5.84 | 3.77 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.20 | 3.02 ( 0.16 ) | 5.41 ( 0.43 ) | 3.39 ( 0.13 ) | 3.02 | 5.41 | 3.39 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.23 | 3.37 ( 0.19 ) | 5.29 ( 0.41 ) | 3.13 ( 0.15 ) | 3.37 | 5.29 | 3.13 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.10 | 0.32 ( 0.01 ) | 4.96 ( 0.55 ) | 3.77 ( 0.14 ) | 0.32 | 4.96 | 3.77 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.50 | 0.52 ( 0.02 ) | 4.42 ( 0.52 ) | 0.1 ( 0.03 ) | 0.52 | 4.42 | 0.10 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.68 | 0.6 ( 0.03 ) | 2.34 ( 0.31 ) | 0.01 ( 0.01 ) | 0.60 | 2.34 | 0.01 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.75 | 0.75 ( 0.03 ) | 1.71 ( 0.28 ) | 0 ( 0 ) | 0.75 | 1.71 | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.76 | 0.94 ( 0.05 ) | 1.59 ( 0.25 ) | 0 ( 0 ) | 0.94 | 1.59 | 0.00 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.07 | 0.35 ( 0.01 ) | 3.99 ( 0.57 ) | 4.63 ( 0.1 ) | 0.35 | 3.99 | 4.63 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.47 | 0.53 ( 0.02 ) | 5.24 ( 0.45 ) | 0.24 ( 0.06 ) | 0.53 | 5.24 | 0.24 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.65 | 0.64 ( 0.03 ) | 2.9 ( 0.32 ) | 0.03 ( 0.02 ) | 0.64 | 2.90 | 0.03 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.69 | 0.82 ( 0.04 ) | 2.46 ( 0.41 ) | 0 ( 0 ) | 0.82 | 2.46 | 0.00 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.81 | 0.94 ( 0.04 ) | 1.34 ( 0.23 ) | 0 ( 0 ) | 0.94 | 1.34 | 0.00 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.36 | 0.32 ( 0.01 ) | 2.42 ( 0.56 ) | 3.74 ( 0.08 ) | 0.32 | 2.42 | 3.74 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.95 | 0.55 ( 0.01 ) | 0.31 ( 0.08 ) | 0 ( 0 ) | 0.55 | 0.31 | 0.00 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.94 | 0.83 ( 0.03 ) | 0.36 ( 0.11 ) | 0 ( 0 ) | 0.83 | 0.36 | 0.00 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.94 | 1.05 ( 0.04 ) | 0.35 ( 0.1 ) | 0 ( 0 ) | 1.05 | 0.35 | 0.00 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.93 | 1.27 ( 0.05 ) | 0.44 ( 0.18 ) | 0 ( 0 ) | 1.27 | 0.44 | 0.00 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.52 | 0.34 ( 0 ) | 0.93 ( 0.19 ) | 3.83 ( 0.06 ) | 0.34 | 0.93 | 3.83 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.92 | 0.56 ( 0.01 ) | 0.52 ( 0.14 ) | 0 ( 0 ) | 0.56 | 0.52 | 0.00 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.98 | 0.86 ( 0.02 ) | 0.13 ( 0.05 ) | 0 ( 0 ) | 0.86 | 0.13 | 0.00 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.95 | 1.04 ( 0.04 ) | 0.31 ( 0.1 ) | 0 ( 0 ) | 1.04 | 0.31 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.96 | 1.28 ( 0.04 ) | 0.27 ( 0.11 ) | 0 ( 0 ) | 1.28 | 0.27 | 0.00 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.31 | 0.27 ( 0 ) | 8.37 ( 0.37 ) | 0.24 ( 0.06 ) | 0.27 | 8.37 | 0.24 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.89 | 0.56 ( 0.02 ) | 0.66 ( 0.18 ) | 0 ( 0 ) | 0.56 | 0.66 | 0.00 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.88 | 0.78 ( 0.03 ) | 0.7 ( 0.21 ) | 0 ( 0 ) | 0.78 | 0.70 | 0.00 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.92 | 0.98 ( 0.04 ) | 0.43 ( 0.09 ) | 0 ( 0 ) | 0.98 | 0.43 | 0.00 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.89 | 1.28 ( 0.05 ) | 0.62 ( 0.19 ) | 0 ( 0 ) | 1.28 | 0.62 | 0.00 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.23 | 0.28 ( 0 ) | 13.35 ( 0.59 ) | 0.47 ( 0.07 ) | 0.28 | 13.30 | 0.47 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.92 | 0.55 ( 0.02 ) | 0.51 ( 0.15 ) | 0 ( 0 ) | 0.55 | 0.51 | 0.00 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.93 | 0.8 ( 0.03 ) | 0.4 ( 0.09 ) | 0 ( 0 ) | 0.80 | 0.40 | 0.00 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.94 | 1.08 ( 0.04 ) | 0.36 ( 0.09 ) | 0 ( 0 ) | 1.08 | 0.36 | 0.00 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.94 | 1.32 ( 0.05 ) | 0.34 ( 0.1 ) | 0 ( 0 ) | 1.32 | 0.34 | 0.00 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.14 | 0.3 ( 0 ) | 19.4 ( 1.74 ) | 2.05 ( 0.12 ) | 0.30 | 19.40 | 2.05 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.92 | 0.57 ( 0.02 ) | 0.49 ( 0.14 ) | 0 ( 0 ) | 0.57 | 0.49 | 0.00 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.97 | 0.87 ( 0.03 ) | 0.19 ( 0.06 ) | 0 ( 0 ) | 0.87 | 0.19 | 0.00 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.98 | 1.14 ( 0.04 ) | 0.14 ( 0.04 ) | 0 ( 0 ) | 1.14 | 0.14 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.96 | 1.31 ( 0.05 ) | 0.23 ( 0.06 ) | 0 ( 0 ) | 1.31 | 0.23 | 0.00 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.21 | 0.31 ( 0 ) | 8.59 ( 1.37 ) | 2.96 ( 0.1 ) | 0.31 | 8.59 | 2.96 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.95 | 0.56 ( 0.02 ) | 0.29 ( 0.08 ) | 0 ( 0 ) | 0.56 | 0.29 | 0.00 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.95 | 0.85 ( 0.02 ) | 0.3 ( 0.11 ) | 0 ( 0 ) | 0.85 | 0.30 | 0.00 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.97 | 1.13 ( 0.04 ) | 0.21 ( 0.07 ) | 0 ( 0 ) | 1.13 | 0.21 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.95 | 1.35 ( 0.05 ) | 0.29 ( 0.09 ) | 0 ( 0 ) | 1.35 | 0.29 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.03 0.36 ( 0.01 ) 2.8 ( 0.36 ) 5.01 ( 0.09 )\n", + "17 50 50 0.3 1.0 0.32 0.8 ( 0.05 ) 5.34 ( 0.32 ) 1.21 ( 0.12 )\n", + "33 50 50 0.5 1.0 0.42 0.77 ( 0.04 ) 5.49 ( 0.31 ) 0.25 ( 0.06 )\n", + "49 50 50 0.7 1.0 0.49 0.8 ( 0.06 ) 4.27 ( 0.31 ) 0.24 ( 0.06 )\n", + "65 50 50 0.9 1.0 0.48 0.92 ( 0.07 ) 4.7 ( 0.32 ) 0.14 ( 0.04 )\n", + "5 50 100 0.1 2.0 0.04 0.37 ( 0.02 ) 2.54 ( 0.37 ) 5.22 ( 0.08 )\n", + "21 50 100 0.3 2.0 0.27 0.94 ( 0.05 ) 6 ( 0.34 ) 1.93 ( 0.14 )\n", + "37 50 100 0.5 2.0 0.36 1.03 ( 0.07 ) 5.95 ( 0.33 ) 0.96 ( 0.11 )\n", + "53 50 100 0.7 2.0 0.42 1.14 ( 0.08 ) 5.46 ( 0.32 ) 0.55 ( 0.09 )\n", + "69 50 100 0.9 2.0 0.42 1.28 ( 0.08 ) 5.86 ( 0.29 ) 0.47 ( 0.09 )\n", + "9 50 500 0.1 10.0 0.01 0.36 ( 0.02 ) 3.53 ( 0.44 ) 5.62 ( 0.07 )\n", + "25 50 500 0.3 10.0 0.13 1.31 ( 0.06 ) 5.44 ( 0.44 ) 3.96 ( 0.15 )\n", + "41 50 500 0.5 10.0 0.22 1.93 ( 0.1 ) 5.08 ( 0.41 ) 3.23 ( 0.15 )\n", + "57 50 500 0.7 10.0 0.26 2.76 ( 0.17 ) 5.16 ( 0.4 ) 2.65 ( 0.15 )\n", + "73 50 500 0.9 10.0 0.25 3.06 ( 0.18 ) 5.42 ( 0.4 ) 2.69 ( 0.15 )\n", + "13 50 1000 0.1 20.0 0.00 0.37 ( 0.02 ) 4.53 ( 0.54 ) 5.71 ( 0.06 )\n", + "29 50 1000 0.3 20.0 0.07 1.55 ( 0.08 ) 3.96 ( 0.47 ) 4.74 ( 0.14 )\n", + "45 50 1000 0.5 20.0 0.15 2.1 ( 0.11 ) 5.84 ( 0.49 ) 3.77 ( 0.14 )\n", + "61 50 1000 0.7 20.0 0.20 3.02 ( 0.16 ) 5.41 ( 0.43 ) 3.39 ( 0.13 )\n", + "77 50 1000 0.9 20.0 0.23 3.37 ( 0.19 ) 5.29 ( 0.41 ) 3.13 ( 0.15 )\n", + "2 100 50 0.1 0.5 0.10 0.32 ( 0.01 ) 4.96 ( 0.55 ) 3.77 ( 0.14 )\n", + "18 100 50 0.3 0.5 0.50 0.52 ( 0.02 ) 4.42 ( 0.52 ) 0.1 ( 0.03 ) \n", + "34 100 50 0.5 0.5 0.68 0.6 ( 0.03 ) 2.34 ( 0.31 ) 0.01 ( 0.01 )\n", + "50 100 50 0.7 0.5 0.75 0.75 ( 0.03 ) 1.71 ( 0.28 ) 0 ( 0 ) \n", + "66 100 50 0.9 0.5 0.76 0.94 ( 0.05 ) 1.59 ( 0.25 ) 0 ( 0 ) \n", + "6 100 100 0.1 1.0 0.07 0.35 ( 0.01 ) 3.99 ( 0.57 ) 4.63 ( 0.1 ) \n", + "22 100 100 0.3 1.0 0.47 0.53 ( 0.02 ) 5.24 ( 0.45 ) 0.24 ( 0.06 )\n", + "38 100 100 0.5 1.0 0.65 0.64 ( 0.03 ) 2.9 ( 0.32 ) 0.03 ( 0.02 )\n", + "54 100 100 0.7 1.0 0.69 0.82 ( 0.04 ) 2.46 ( 0.41 ) 0 ( 0 ) \n", + "70 100 100 0.9 1.0 0.81 0.94 ( 0.04 ) 1.34 ( 0.23 ) 0 ( 0 ) \n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.36 0.32 ( 0.01 ) 2.42 ( 0.56 ) 3.74 ( 0.08 )\n", + "27 500 500 0.3 1.00 0.95 0.55 ( 0.01 ) 0.31 ( 0.08 ) 0 ( 0 ) \n", + "43 500 500 0.5 1.00 0.94 0.83 ( 0.03 ) 0.36 ( 0.11 ) 0 ( 0 ) \n", + "59 500 500 0.7 1.00 0.94 1.05 ( 0.04 ) 0.35 ( 0.1 ) 0 ( 0 ) \n", + "75 500 500 0.9 1.00 0.93 1.27 ( 0.05 ) 0.44 ( 0.18 ) 0 ( 0 ) \n", + "15 500 1000 0.1 2.00 0.52 0.34 ( 0 ) 0.93 ( 0.19 ) 3.83 ( 0.06 )\n", + "31 500 1000 0.3 2.00 0.92 0.56 ( 0.01 ) 0.52 ( 0.14 ) 0 ( 0 ) \n", + "47 500 1000 0.5 2.00 0.98 0.86 ( 0.02 ) 0.13 ( 0.05 ) 0 ( 0 ) \n", + "63 500 1000 0.7 2.00 0.95 1.04 ( 0.04 ) 0.31 ( 0.1 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.00 0.96 1.28 ( 0.04 ) 0.27 ( 0.11 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.31 0.27 ( 0 ) 8.37 ( 0.37 ) 0.24 ( 0.06 )\n", + "20 1000 50 0.3 0.05 0.89 0.56 ( 0.02 ) 0.66 ( 0.18 ) 0 ( 0 ) \n", + "36 1000 50 0.5 0.05 0.88 0.78 ( 0.03 ) 0.7 ( 0.21 ) 0 ( 0 ) \n", + "52 1000 50 0.7 0.05 0.92 0.98 ( 0.04 ) 0.43 ( 0.09 ) 0 ( 0 ) \n", + "68 1000 50 0.9 0.05 0.89 1.28 ( 0.05 ) 0.62 ( 0.19 ) 0 ( 0 ) \n", + "8 1000 100 0.1 0.10 0.23 0.28 ( 0 ) 13.35 ( 0.59 ) 0.47 ( 0.07 )\n", + "24 1000 100 0.3 0.10 0.92 0.55 ( 0.02 ) 0.51 ( 0.15 ) 0 ( 0 ) \n", + "40 1000 100 0.5 0.10 0.93 0.8 ( 0.03 ) 0.4 ( 0.09 ) 0 ( 0 ) \n", + "56 1000 100 0.7 0.10 0.94 1.08 ( 0.04 ) 0.36 ( 0.09 ) 0 ( 0 ) \n", + "72 1000 100 0.9 0.10 0.94 1.32 ( 0.05 ) 0.34 ( 0.1 ) 0 ( 0 ) \n", + "12 1000 500 0.1 0.50 0.14 0.3 ( 0 ) 19.4 ( 1.74 ) 2.05 ( 0.12 )\n", + "28 1000 500 0.3 0.50 0.92 0.57 ( 0.02 ) 0.49 ( 0.14 ) 0 ( 0 ) \n", + "44 1000 500 0.5 0.50 0.97 0.87 ( 0.03 ) 0.19 ( 0.06 ) 0 ( 0 ) \n", + "60 1000 500 0.7 0.50 0.98 1.14 ( 0.04 ) 0.14 ( 0.04 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.50 0.96 1.31 ( 0.05 ) 0.23 ( 0.06 ) 0 ( 0 ) \n", + "16 1000 1000 0.1 1.00 0.21 0.31 ( 0 ) 8.59 ( 1.37 ) 2.96 ( 0.1 ) \n", + "32 1000 1000 0.3 1.00 0.95 0.56 ( 0.02 ) 0.29 ( 0.08 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.95 0.85 ( 0.02 ) 0.3 ( 0.11 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.97 1.13 ( 0.04 ) 0.21 ( 0.07 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.95 1.35 ( 0.05 ) 0.29 ( 0.09 ) 0 ( 0 ) \n", + " MSE_mean FP_mean FN_mean\n", + "1 0.36 2.80 5.01 \n", + "17 0.80 5.34 1.21 \n", + "33 0.77 5.49 0.25 \n", + "49 0.80 4.27 0.24 \n", + "65 0.92 4.70 0.14 \n", + "5 0.37 2.54 5.22 \n", + "21 0.94 6.00 1.93 \n", + "37 1.03 5.95 0.96 \n", + "53 1.14 5.46 0.55 \n", + "69 1.28 5.86 0.47 \n", + "9 0.36 3.53 5.62 \n", + "25 1.31 5.44 3.96 \n", + "41 1.93 5.08 3.23 \n", + "57 2.76 5.16 2.65 \n", + "73 3.06 5.42 2.69 \n", + "13 0.37 4.53 5.71 \n", + "29 1.55 3.96 4.74 \n", + "45 2.10 5.84 3.77 \n", + "61 3.02 5.41 3.39 \n", + "77 3.37 5.29 3.13 \n", + "2 0.32 4.96 3.77 \n", + "18 0.52 4.42 0.10 \n", + "34 0.60 2.34 0.01 \n", + "50 0.75 1.71 0.00 \n", + "66 0.94 1.59 0.00 \n", + "6 0.35 3.99 4.63 \n", + "22 0.53 5.24 0.24 \n", + "38 0.64 2.90 0.03 \n", + "54 0.82 2.46 0.00 \n", + "70 0.94 1.34 0.00 \n", + "... ... ... ... \n", + "11 0.32 2.42 3.74 \n", + "27 0.55 0.31 0.00 \n", + "43 0.83 0.36 0.00 \n", + "59 1.05 0.35 0.00 \n", + "75 1.27 0.44 0.00 \n", + "15 0.34 0.93 3.83 \n", + "31 0.56 0.52 0.00 \n", + "47 0.86 0.13 0.00 \n", + "63 1.04 0.31 0.00 \n", + "79 1.28 0.27 0.00 \n", + "4 0.27 8.37 0.24 \n", + "20 0.56 0.66 0.00 \n", + "36 0.78 0.70 0.00 \n", + "52 0.98 0.43 0.00 \n", + "68 1.28 0.62 0.00 \n", + "8 0.28 13.30 0.47 \n", + "24 0.55 0.51 0.00 \n", + "40 0.80 0.40 0.00 \n", + "56 1.08 0.36 0.00 \n", + "72 1.32 0.34 0.00 \n", + "12 0.30 19.40 2.05 \n", + "28 0.57 0.49 0.00 \n", + "44 0.87 0.19 0.00 \n", + "60 1.14 0.14 0.00 \n", + "76 1.31 0.23 0.00 \n", + "16 0.31 8.59 2.96 \n", + "32 0.56 0.29 0.00 \n", + "48 0.85 0.30 0.00 \n", + "64 1.13 0.21 0.00 \n", + "80 1.35 0.29 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[with(result.table_block, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_block_elnet.ipynb b/simulations/notebooks_simulations/sim_block_elnet.ipynb new file mode 100644 index 0000000..f23dbca --- /dev/null +++ b/simulations/notebooks_simulations/sim_block_elnet.ipynb @@ -0,0 +1,877 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/block_Elnet.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_block_elnet[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_block = NULL\n", + "tmp_num_select = rep(0, length(results_block_elnet))\n", + "for (i in 1:length(results_block_elnet)){\n", + " table_block = rbind(table_block, results_block_elnet[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_block_elnet[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_block = as.data.frame(table_block)\n", + "table_block$num_select = tmp_num_select\n", + "table_block$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 10.9 ( 0.97 )3.91 ( 0.15 )0.38 ( 0.02 )0.02 11.99 0.77
    100 50 0.1 13.39 ( 1.06 )2.45 ( 0.16 ) 0.34 ( 0.01 ) 0.06 15.94 0.68
    500 50 0.1 19.21 ( 0.81 )0.14 ( 0.04 ) 0.27 ( 0 ) 0.13 24.07 0.73
    1000 50 0.1 18.76 ( 0.63 )0.02 ( 0.01 ) 0.26 ( 0 ) 0.15 23.74 0.73
    50 100 0.1 9.27 ( 0.76 )4.63 ( 0.09 )0.41 ( 0.02 )0.03 9.64 0.82
    100 100 0.1 10.1 ( 1.04 )3.87 ( 0.13 )0.34 ( 0.01 )0.07 11.23 0.70
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 10.9 ( 0.97 ) & 3.91 ( 0.15 ) & 0.38 ( 0.02 ) & 0.02 & 11.99 & 0.77 \\\\\n", + "\t 100 & 50 & 0.1 & 13.39 ( 1.06 ) & 2.45 ( 0.16 ) & 0.34 ( 0.01 ) & 0.06 & 15.94 & 0.68 \\\\\n", + "\t 500 & 50 & 0.1 & 19.21 ( 0.81 ) & 0.14 ( 0.04 ) & 0.27 ( 0 ) & 0.13 & 24.07 & 0.73 \\\\\n", + "\t 1000 & 50 & 0.1 & 18.76 ( 0.63 ) & 0.02 ( 0.01 ) & 0.26 ( 0 ) & 0.15 & 23.74 & 0.73 \\\\\n", + "\t 50 & 100 & 0.1 & 9.27 ( 0.76 ) & 4.63 ( 0.09 ) & 0.41 ( 0.02 ) & 0.03 & 9.64 & 0.82 \\\\\n", + "\t 100 & 100 & 0.1 & 10.1 ( 1.04 ) & 3.87 ( 0.13 ) & 0.34 ( 0.01 ) & 0.07 & 11.23 & 0.70 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 10.9 ( 0.97 ) | 3.91 ( 0.15 ) | 0.38 ( 0.02 ) | 0.02 | 11.99 | 0.77 |\n", + "| 100 | 50 | 0.1 | 13.39 ( 1.06 ) | 2.45 ( 0.16 ) | 0.34 ( 0.01 ) | 0.06 | 15.94 | 0.68 |\n", + "| 500 | 50 | 0.1 | 19.21 ( 0.81 ) | 0.14 ( 0.04 ) | 0.27 ( 0 ) | 0.13 | 24.07 | 0.73 |\n", + "| 1000 | 50 | 0.1 | 18.76 ( 0.63 ) | 0.02 ( 0.01 ) | 0.26 ( 0 ) | 0.15 | 23.74 | 0.73 |\n", + "| 50 | 100 | 0.1 | 9.27 ( 0.76 ) | 4.63 ( 0.09 ) | 0.41 ( 0.02 ) | 0.03 | 9.64 | 0.82 |\n", + "| 100 | 100 | 0.1 | 10.1 ( 1.04 ) | 3.87 ( 0.13 ) | 0.34 ( 0.01 ) | 0.07 | 11.23 | 0.70 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 10.9 ( 0.97 ) 3.91 ( 0.15 ) 0.38 ( 0.02 ) 0.02 11.99 0.77\n", + "2 100 50 0.1 13.39 ( 1.06 ) 2.45 ( 0.16 ) 0.34 ( 0.01 ) 0.06 15.94 0.68\n", + "3 500 50 0.1 19.21 ( 0.81 ) 0.14 ( 0.04 ) 0.27 ( 0 ) 0.13 24.07 0.73\n", + "4 1000 50 0.1 18.76 ( 0.63 ) 0.02 ( 0.01 ) 0.26 ( 0 ) 0.15 23.74 0.73\n", + "5 50 100 0.1 9.27 ( 0.76 ) 4.63 ( 0.09 ) 0.41 ( 0.02 ) 0.03 9.64 0.82\n", + "6 100 100 0.1 10.1 ( 1.04 ) 3.87 ( 0.13 ) 0.34 ( 0.01 ) 0.07 11.23 0.70" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_block <- apply(table_block,2,as.character)\n", + "rownames(result.table_block) = rownames(table_block)\n", + "result.table_block = as.data.frame(result.table_block)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_block$n = tidyr::extract_numeric(result.table_block$n)\n", + "result.table_block$p = tidyr::extract_numeric(result.table_block$p)\n", + "result.table_block$ratio = result.table_block$p / result.table_block$n\n", + "\n", + "result.table_block = result.table_block[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_block)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_block$Stab = as.numeric(as.character(result.table_block$Stab))\n", + "result.table_block$MSE_mean = as.numeric(substr(result.table_block$MSE, start=1, stop=4))\n", + "result.table_block$FP_mean = as.numeric(substr(result.table_block$FP, start=1, stop=4))\n", + "result.table_block$FN_mean = as.numeric(substr(result.table_block$FN, start=1, stop=4))\n", + "result.table_block$FN_mean[is.na(result.table_block$FN_mean)] = 0\n", + "result.table_block$num_select = as.numeric(as.character(result.table_block$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    4550 1000 0.5 20 0.04 2 ( 0.1 ) 52.83 ( 3.84 )2.29 ( 0.1 ) 55.54 0.91 NA 52.8 2.29
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t45 & 50 & 1000 & 0.5 & 20 & 0.04 & 2 ( 0.1 ) & 52.83 ( 3.84 ) & 2.29 ( 0.1 ) & 55.54 & 0.91 & NA & 52.8 & 2.29 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 45 | 50 | 1000 | 0.5 | 20 | 0.04 | 2 ( 0.1 ) | 52.83 ( 3.84 ) | 2.29 ( 0.1 ) | 55.54 | 0.91 | NA | 52.8 | 2.29 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "45 50 1000 0.5 20 0.04 2 ( 0.1 ) 52.83 ( 3.84 ) 2.29 ( 0.1 ) 55.54 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "45 0.91 NA 52.8 2.29 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_block[rowSums(is.na(result.table_block)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_block$MSE_mean[45] = 2" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    4550 1000 0.5 20 0.04 2 ( 0.1 ) 52.83 ( 3.84 )2.29 ( 0.1 ) 55.54 0.91 2 52.8 2.29
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t45 & 50 & 1000 & 0.5 & 20 & 0.04 & 2 ( 0.1 ) & 52.83 ( 3.84 ) & 2.29 ( 0.1 ) & 55.54 & 0.91 & 2 & 52.8 & 2.29 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 45 | 50 | 1000 | 0.5 | 20 | 0.04 | 2 ( 0.1 ) | 52.83 ( 3.84 ) | 2.29 ( 0.1 ) | 55.54 | 0.91 | 2 | 52.8 | 2.29 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "45 50 1000 0.5 20 0.04 2 ( 0.1 ) 52.83 ( 3.84 ) 2.29 ( 0.1 ) 55.54 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "45 0.91 2 52.8 2.29 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[45, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.02 0.38 ( 0.02 ) 10.9 ( 0.97 ) 3.91 ( 0.15 ) 11.99 0.77 0.38 10.90 3.91
    100 50 0.1 0.50 0.06 0.34 ( 0.01 ) 13.39 ( 1.06 )2.45 ( 0.16 ) 15.94 0.68 0.34 13.30 2.45
    500 50 0.1 0.10 0.13 0.27 ( 0 ) 19.21 ( 0.81 )0.14 ( 0.04 ) 24.07 0.73 0.27 19.20 0.14
    1000 50 0.1 0.05 0.15 0.26 ( 0 ) 18.76 ( 0.63 )0.02 ( 0.01 ) 23.74 0.73 0.26 18.70 0.02
    50 100 0.1 2.00 0.03 0.41 ( 0.02 ) 9.27 ( 0.76 ) 4.63 ( 0.09 ) 9.64 0.82 0.41 9.27 4.63
    100 100 0.1 1.00 0.07 0.34 ( 0.01 ) 10.1 ( 1.04 ) 3.87 ( 0.13 ) 11.23 0.7 0.34 10.10 3.87
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.02 & 0.38 ( 0.02 ) & 10.9 ( 0.97 ) & 3.91 ( 0.15 ) & 11.99 & 0.77 & 0.38 & 10.90 & 3.91 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.06 & 0.34 ( 0.01 ) & 13.39 ( 1.06 ) & 2.45 ( 0.16 ) & 15.94 & 0.68 & 0.34 & 13.30 & 2.45 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.13 & 0.27 ( 0 ) & 19.21 ( 0.81 ) & 0.14 ( 0.04 ) & 24.07 & 0.73 & 0.27 & 19.20 & 0.14 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.15 & 0.26 ( 0 ) & 18.76 ( 0.63 ) & 0.02 ( 0.01 ) & 23.74 & 0.73 & 0.26 & 18.70 & 0.02 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.03 & 0.41 ( 0.02 ) & 9.27 ( 0.76 ) & 4.63 ( 0.09 ) & 9.64 & 0.82 & 0.41 & 9.27 & 4.63 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.07 & 0.34 ( 0.01 ) & 10.1 ( 1.04 ) & 3.87 ( 0.13 ) & 11.23 & 0.7 & 0.34 & 10.10 & 3.87 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.02 | 0.38 ( 0.02 ) | 10.9 ( 0.97 ) | 3.91 ( 0.15 ) | 11.99 | 0.77 | 0.38 | 10.90 | 3.91 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.06 | 0.34 ( 0.01 ) | 13.39 ( 1.06 ) | 2.45 ( 0.16 ) | 15.94 | 0.68 | 0.34 | 13.30 | 2.45 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.13 | 0.27 ( 0 ) | 19.21 ( 0.81 ) | 0.14 ( 0.04 ) | 24.07 | 0.73 | 0.27 | 19.20 | 0.14 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.15 | 0.26 ( 0 ) | 18.76 ( 0.63 ) | 0.02 ( 0.01 ) | 23.74 | 0.73 | 0.26 | 18.70 | 0.02 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.03 | 0.41 ( 0.02 ) | 9.27 ( 0.76 ) | 4.63 ( 0.09 ) | 9.64 | 0.82 | 0.41 | 9.27 | 4.63 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.07 | 0.34 ( 0.01 ) | 10.1 ( 1.04 ) | 3.87 ( 0.13 ) | 11.23 | 0.7 | 0.34 | 10.10 | 3.87 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.00 0.02 0.38 ( 0.02 ) 10.9 ( 0.97 ) 3.91 ( 0.15 )\n", + "2 100 50 0.1 0.50 0.06 0.34 ( 0.01 ) 13.39 ( 1.06 ) 2.45 ( 0.16 )\n", + "3 500 50 0.1 0.10 0.13 0.27 ( 0 ) 19.21 ( 0.81 ) 0.14 ( 0.04 )\n", + "4 1000 50 0.1 0.05 0.15 0.26 ( 0 ) 18.76 ( 0.63 ) 0.02 ( 0.01 )\n", + "5 50 100 0.1 2.00 0.03 0.41 ( 0.02 ) 9.27 ( 0.76 ) 4.63 ( 0.09 )\n", + "6 100 100 0.1 1.00 0.07 0.34 ( 0.01 ) 10.1 ( 1.04 ) 3.87 ( 0.13 )\n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "1 11.99 0.77 0.38 10.90 3.91 \n", + "2 15.94 0.68 0.34 13.30 2.45 \n", + "3 24.07 0.73 0.27 19.20 0.14 \n", + "4 23.74 0.73 0.26 18.70 0.02 \n", + "5 9.64 0.82 0.41 9.27 4.63 \n", + "6 11.23 0.7 0.34 10.10 3.87 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    75 500 500 0.9 1.0 0.15 0.28 ( 0 ) 32.6 ( 1.76 ) 0 ( 0 ) 37.60 0.81 0.28 32.6 0.00
    761000 500 0.9 0.5 0.16 0.26 ( 0 ) 30.4 ( 1.66 ) 0 ( 0 ) 35.40 0.79 0.26 30.4 0.00
    77 50 1000 0.9 20.0 0.07 3.06 ( 0.18 ) 43.09 ( 2.82 )1.57 ( 0.1 ) 46.52 0.88 3.06 43.0 1.57
    78 100 1000 0.9 10.0 0.12 0.59 ( 0.03 ) 43.91 ( 1.31 )0 ( 0 ) 48.91 0.87 0.59 43.9 0.00
    79 500 1000 0.9 2.0 0.12 0.29 ( 0 ) 41.57 ( 2.28 )0 ( 0 ) 46.57 0.84 0.29 41.5 0.00
    801000 1000 0.9 1.0 0.13 0.27 ( 0 ) 38.76 ( 2.16 )0 ( 0 ) 43.76 0.82 0.27 38.7 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.15 & 0.28 ( 0 ) & 32.6 ( 1.76 ) & 0 ( 0 ) & 37.60 & 0.81 & 0.28 & 32.6 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.16 & 0.26 ( 0 ) & 30.4 ( 1.66 ) & 0 ( 0 ) & 35.40 & 0.79 & 0.26 & 30.4 & 0.00 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.07 & 3.06 ( 0.18 ) & 43.09 ( 2.82 ) & 1.57 ( 0.1 ) & 46.52 & 0.88 & 3.06 & 43.0 & 1.57 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.12 & 0.59 ( 0.03 ) & 43.91 ( 1.31 ) & 0 ( 0 ) & 48.91 & 0.87 & 0.59 & 43.9 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.12 & 0.29 ( 0 ) & 41.57 ( 2.28 ) & 0 ( 0 ) & 46.57 & 0.84 & 0.29 & 41.5 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.13 & 0.27 ( 0 ) & 38.76 ( 2.16 ) & 0 ( 0 ) & 43.76 & 0.82 & 0.27 & 38.7 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.15 | 0.28 ( 0 ) | 32.6 ( 1.76 ) | 0 ( 0 ) | 37.60 | 0.81 | 0.28 | 32.6 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.16 | 0.26 ( 0 ) | 30.4 ( 1.66 ) | 0 ( 0 ) | 35.40 | 0.79 | 0.26 | 30.4 | 0.00 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.07 | 3.06 ( 0.18 ) | 43.09 ( 2.82 ) | 1.57 ( 0.1 ) | 46.52 | 0.88 | 3.06 | 43.0 | 1.57 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.12 | 0.59 ( 0.03 ) | 43.91 ( 1.31 ) | 0 ( 0 ) | 48.91 | 0.87 | 0.59 | 43.9 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.12 | 0.29 ( 0 ) | 41.57 ( 2.28 ) | 0 ( 0 ) | 46.57 | 0.84 | 0.29 | 41.5 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.13 | 0.27 ( 0 ) | 38.76 ( 2.16 ) | 0 ( 0 ) | 43.76 | 0.82 | 0.27 | 38.7 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.15 0.28 ( 0 ) 32.6 ( 1.76 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.5 0.16 0.26 ( 0 ) 30.4 ( 1.66 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.07 3.06 ( 0.18 ) 43.09 ( 2.82 ) 1.57 ( 0.1 )\n", + "78 100 1000 0.9 10.0 0.12 0.59 ( 0.03 ) 43.91 ( 1.31 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.0 0.12 0.29 ( 0 ) 41.57 ( 2.28 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.0 0.13 0.27 ( 0 ) 38.76 ( 2.16 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 37.60 0.81 0.28 32.6 0.00 \n", + "76 35.40 0.79 0.26 30.4 0.00 \n", + "77 46.52 0.88 3.06 43.0 1.57 \n", + "78 48.91 0.87 0.59 43.9 0.00 \n", + "79 46.57 0.84 0.29 41.5 0.00 \n", + "80 43.76 0.82 0.27 38.7 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_block, '../results_summary/sim_block_elnet.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_block_elnet.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_block$N = as.factor(result.table_block$N)\n", + "fig_block_stab = ggplot(result.table_block, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_block_mse = ggplot(result.table_block, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_block_fp = ggplot(result.table_block, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_block_fn = ggplot(result.table_block, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_block_stab, fig_block_mse, fig_block_fp, fig_block_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Block_ElaticNet\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_block_elnet.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", 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    NPCorrRatioStabMSEFPFNMSE_meanFP_meanFN_mean
    150 50 0.1 1.0 0.02 0.38 ( 0.02 ) 10.9 ( 0.97 ) 3.91 ( 0.15 ) 0.38 10.90 3.91
    1750 50 0.3 1.0 0.17 0.56 ( 0.03 ) 15.98 ( 0.61 )0.26 ( 0.05 ) 0.56 15.90 0.26
    3350 50 0.5 1.0 0.19 0.65 ( 0.05 ) 15.43 ( 0.64 )0.1 ( 0.04 ) 0.65 15.40 0.10
    4950 50 0.7 1.0 0.18 0.63 ( 0.04 ) 16.71 ( 0.61 )0.04 ( 0.02 ) 0.63 16.70 0.04
    6550 50 0.9 1.0 0.21 0.56 ( 0.03 ) 14.5 ( 0.57 ) 0.03 ( 0.02 ) 0.56 14.50 0.03
    550 100 0.1 2.0 0.03 0.41 ( 0.02 ) 9.27 ( 0.76 ) 4.63 ( 0.09 ) 0.41 9.27 4.63
    2150 100 0.3 2.0 0.13 0.81 ( 0.05 ) 22.23 ( 1.04 )0.7 ( 0.08 ) 0.81 22.20 0.70
    3750 100 0.5 2.0 0.16 0.8 ( 0.05 ) 21.3 ( 0.83 ) 0.3 ( 0.06 ) 0.80 21.30 0.30
    5350 100 0.7 2.0 0.18 0.86 ( 0.07 ) 19.83 ( 0.86 )0.11 ( 0.03 ) 0.86 19.80 0.11
    6950 100 0.9 2.0 0.18 0.75 ( 0.04 ) 20.94 ( 0.7 ) 0.07 ( 0.03 ) 0.75 20.90 0.07
    950 500 0.1 10.0 0.01 0.41 ( 0.02 ) 30.9 ( 3.51 ) 4.65 ( 0.13 ) 0.41 30.90 4.65
    2550 500 0.3 10.0 0.05 1.29 ( 0.07 ) 43.56 ( 3.08 )2.15 ( 0.13 ) 1.29 43.50 2.15
    4150 500 0.5 10.0 0.08 1.61 ( 0.1 ) 36.33 ( 2.13 )1.58 ( 0.11 ) 1.61 36.30 1.58
    5750 500 0.7 10.0 0.10 2.19 ( 0.14 ) 33.13 ( 1.76 )1.25 ( 0.11 ) 2.19 33.10 1.25
    7350 500 0.9 10.0 0.10 2.21 ( 0.15 ) 35.26 ( 2.1 ) 0.98 ( 0.09 ) 2.21 35.20 0.98
    1350 1000 0.1 20.0 0.00 0.41 ( 0.02 ) 38.1 ( 4.05 ) 5.01 ( 0.11 ) 0.41 38.10 5.01
    2950 1000 0.3 20.0 0.03 1.3 ( 0.07 ) 61.12 ( 4.33 )2.56 ( 0.12 ) 1.30 61.10 2.56
    4550 1000 0.5 20.0 0.04 2 ( 0.1 ) 52.83 ( 3.84 )2.29 ( 0.1 ) 2.00 52.80 2.29
    6150 1000 0.7 20.0 0.06 2.43 ( 0.14 ) 41.11 ( 2.8 ) 1.98 ( 0.11 ) 2.43 41.10 1.98
    7750 1000 0.9 20.0 0.07 3.06 ( 0.18 ) 43.09 ( 2.82 )1.57 ( 0.1 ) 3.06 43.00 1.57
    2100 50 0.1 0.5 0.06 0.34 ( 0.01 ) 13.39 ( 1.06 )2.45 ( 0.16 ) 0.34 13.30 2.45
    18100 50 0.3 0.5 0.20 0.34 ( 0.01 ) 15.16 ( 0.6 ) 0 ( 0 ) 0.34 15.10 0.00
    34100 50 0.5 0.5 0.20 0.34 ( 0.01 ) 14.94 ( 0.61 )0 ( 0 ) 0.34 14.90 0.00
    50100 50 0.7 0.5 0.22 0.33 ( 0.01 ) 14.2 ( 0.55 ) 0 ( 0 ) 0.33 14.20 0.00
    66100 50 0.9 0.5 0.23 0.33 ( 0.01 ) 13.9 ( 0.6 ) 0 ( 0 ) 0.33 13.90 0.00
    6100 100 0.1 1.0 0.07 0.34 ( 0.01 ) 10.1 ( 1.04 ) 3.87 ( 0.13 ) 0.34 10.10 3.87
    22100 100 0.3 1.0 0.16 0.42 ( 0.02 ) 23.17 ( 0.94 )0.02 ( 0.01 ) 0.42 23.10 0.02
    38100 100 0.5 1.0 0.18 0.37 ( 0.01 ) 21.74 ( 0.84 )0 ( 0 ) 0.37 21.70 0.00
    54100 100 0.7 1.0 0.17 0.38 ( 0.01 ) 22.59 ( 1.11 )0 ( 0 ) 0.38 22.50 0.00
    70100 100 0.9 1.0 0.18 0.38 ( 0.01 ) 20.8 ( 0.95 ) 0 ( 0 ) 0.38 20.80 0.00
    ....................................
    11500 500 0.1 1.00 0.08 0.32 ( 0 ) 29.71 ( 2.76 )2.55 ( 0.12 ) 0.32 29.7 2.55
    27500 500 0.3 1.00 0.14 0.28 ( 0 ) 35.68 ( 1.62 )0 ( 0 ) 0.28 35.6 0.00
    43500 500 0.5 1.00 0.15 0.28 ( 0 ) 32.67 ( 1.7 ) 0 ( 0 ) 0.28 32.6 0.00
    59500 500 0.7 1.00 0.16 0.28 ( 0 ) 30.18 ( 1.66 )0 ( 0 ) 0.28 30.1 0.00
    75500 500 0.9 1.00 0.15 0.28 ( 0 ) 32.6 ( 1.76 ) 0 ( 0 ) 0.28 32.6 0.00
    15500 1000 0.1 2.00 0.10 0.3 ( 0 ) 20.28 ( 2.74 )3.25 ( 0.08 ) 0.30 20.2 3.25
    31500 1000 0.3 2.00 0.11 0.29 ( 0 ) 46.27 ( 2.2 ) 0 ( 0 ) 0.29 46.2 0.00
    47500 1000 0.5 2.00 0.14 0.28 ( 0 ) 37.63 ( 1.92 )0 ( 0 ) 0.28 37.6 0.00
    63500 1000 0.7 2.00 0.12 0.29 ( 0 ) 42.75 ( 2.32 )0 ( 0 ) 0.29 42.7 0.00
    79500 1000 0.9 2.00 0.12 0.29 ( 0 ) 41.57 ( 2.28 )0 ( 0 ) 0.29 41.5 0.00
    41000 50 0.1 0.05 0.15 0.26 ( 0 ) 18.76 ( 0.63 )0.02 ( 0.01 ) 0.26 18.7 0.02
    201000 50 0.3 0.05 0.22 0.26 ( 0 ) 14.34 ( 0.49 )0 ( 0 ) 0.26 14.3 0.00
    361000 50 0.5 0.05 0.25 0.26 ( 0 ) 12.73 ( 0.5 ) 0 ( 0 ) 0.26 12.7 0.00
    521000 50 0.7 0.05 0.25 0.26 ( 0 ) 12.77 ( 0.52 )0 ( 0 ) 0.26 12.7 0.00
    681000 50 0.9 0.05 0.25 0.26 ( 0 ) 12.64 ( 0.49 )0 ( 0 ) 0.26 12.6 0.00
    81000 100 0.1 0.10 0.13 0.27 ( 0 ) 28.36 ( 0.94 )0.06 ( 0.03 ) 0.27 28.3 0.06
    241000 100 0.3 0.10 0.20 0.26 ( 0 ) 19.57 ( 0.81 )0 ( 0 ) 0.26 19.5 0.00
    401000 100 0.5 0.10 0.18 0.26 ( 0 ) 20.53 ( 0.72 )0 ( 0 ) 0.26 20.5 0.00
    561000 100 0.7 0.10 0.21 0.26 ( 0 ) 18.55 ( 0.87 )0 ( 0 ) 0.26 18.5 0.00
    721000 100 0.9 0.10 0.19 0.26 ( 0 ) 19.91 ( 0.91 )0 ( 0 ) 0.26 19.9 0.00
    121000 500 0.1 0.50 0.07 0.28 ( 0 ) 61.47 ( 1.31 )0.56 ( 0.07 ) 0.28 61.4 0.56
    281000 500 0.3 0.50 0.14 0.27 ( 0 ) 36.15 ( 1.61 )0 ( 0 ) 0.27 36.1 0.00
    441000 500 0.5 0.50 0.14 0.26 ( 0 ) 33.71 ( 1.97 )0 ( 0 ) 0.26 33.7 0.00
    601000 500 0.7 0.50 0.15 0.26 ( 0 ) 33.3 ( 1.59 ) 0 ( 0 ) 0.26 33.3 0.00
    761000 500 0.9 0.50 0.16 0.26 ( 0 ) 30.4 ( 1.66 ) 0 ( 0 ) 0.26 30.4 0.00
    161000 1000 0.1 1.00 0.05 0.29 ( 0 ) 71.65 ( 3.47 )1.5 ( 0.1 ) 0.29 71.6 1.50
    321000 1000 0.3 1.00 0.13 0.27 ( 0 ) 39.23 ( 2 ) 0 ( 0 ) 0.27 39.2 0.00
    481000 1000 0.5 1.00 0.14 0.27 ( 0 ) 35.42 ( 1.84 )0 ( 0 ) 0.27 35.4 0.00
    641000 1000 0.7 1.00 0.14 0.27 ( 0 ) 36.88 ( 2.33 )0 ( 0 ) 0.27 36.8 0.00
    801000 1000 0.9 1.00 0.13 0.27 ( 0 ) 38.76 ( 2.16 )0 ( 0 ) 0.27 38.7 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.02 & 0.38 ( 0.02 ) & 10.9 ( 0.97 ) & 3.91 ( 0.15 ) & 0.38 & 10.90 & 3.91 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.17 & 0.56 ( 0.03 ) & 15.98 ( 0.61 ) & 0.26 ( 0.05 ) & 0.56 & 15.90 & 0.26 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.19 & 0.65 ( 0.05 ) & 15.43 ( 0.64 ) & 0.1 ( 0.04 ) & 0.65 & 15.40 & 0.10 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.18 & 0.63 ( 0.04 ) & 16.71 ( 0.61 ) & 0.04 ( 0.02 ) & 0.63 & 16.70 & 0.04 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.21 & 0.56 ( 0.03 ) & 14.5 ( 0.57 ) & 0.03 ( 0.02 ) & 0.56 & 14.50 & 0.03 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.03 & 0.41 ( 0.02 ) & 9.27 ( 0.76 ) & 4.63 ( 0.09 ) & 0.41 & 9.27 & 4.63 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.13 & 0.81 ( 0.05 ) & 22.23 ( 1.04 ) & 0.7 ( 0.08 ) & 0.81 & 22.20 & 0.70 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.16 & 0.8 ( 0.05 ) & 21.3 ( 0.83 ) & 0.3 ( 0.06 ) & 0.80 & 21.30 & 0.30 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.18 & 0.86 ( 0.07 ) & 19.83 ( 0.86 ) & 0.11 ( 0.03 ) & 0.86 & 19.80 & 0.11 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.18 & 0.75 ( 0.04 ) & 20.94 ( 0.7 ) & 0.07 ( 0.03 ) & 0.75 & 20.90 & 0.07 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.01 & 0.41 ( 0.02 ) & 30.9 ( 3.51 ) & 4.65 ( 0.13 ) & 0.41 & 30.90 & 4.65 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.05 & 1.29 ( 0.07 ) & 43.56 ( 3.08 ) & 2.15 ( 0.13 ) & 1.29 & 43.50 & 2.15 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.08 & 1.61 ( 0.1 ) & 36.33 ( 2.13 ) & 1.58 ( 0.11 ) & 1.61 & 36.30 & 1.58 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.10 & 2.19 ( 0.14 ) & 33.13 ( 1.76 ) & 1.25 ( 0.11 ) & 2.19 & 33.10 & 1.25 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.10 & 2.21 ( 0.15 ) & 35.26 ( 2.1 ) & 0.98 ( 0.09 ) & 2.21 & 35.20 & 0.98 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.00 & 0.41 ( 0.02 ) & 38.1 ( 4.05 ) & 5.01 ( 0.11 ) & 0.41 & 38.10 & 5.01 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.03 & 1.3 ( 0.07 ) & 61.12 ( 4.33 ) & 2.56 ( 0.12 ) & 1.30 & 61.10 & 2.56 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.04 & 2 ( 0.1 ) & 52.83 ( 3.84 ) & 2.29 ( 0.1 ) & 2.00 & 52.80 & 2.29 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.06 & 2.43 ( 0.14 ) & 41.11 ( 2.8 ) & 1.98 ( 0.11 ) & 2.43 & 41.10 & 1.98 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.07 & 3.06 ( 0.18 ) & 43.09 ( 2.82 ) & 1.57 ( 0.1 ) & 3.06 & 43.00 & 1.57 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.06 & 0.34 ( 0.01 ) & 13.39 ( 1.06 ) & 2.45 ( 0.16 ) & 0.34 & 13.30 & 2.45 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.20 & 0.34 ( 0.01 ) & 15.16 ( 0.6 ) & 0 ( 0 ) & 0.34 & 15.10 & 0.00 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.20 & 0.34 ( 0.01 ) & 14.94 ( 0.61 ) & 0 ( 0 ) & 0.34 & 14.90 & 0.00 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.22 & 0.33 ( 0.01 ) & 14.2 ( 0.55 ) & 0 ( 0 ) & 0.33 & 14.20 & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.23 & 0.33 ( 0.01 ) & 13.9 ( 0.6 ) & 0 ( 0 ) & 0.33 & 13.90 & 0.00 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.07 & 0.34 ( 0.01 ) & 10.1 ( 1.04 ) & 3.87 ( 0.13 ) & 0.34 & 10.10 & 3.87 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.16 & 0.42 ( 0.02 ) & 23.17 ( 0.94 ) & 0.02 ( 0.01 ) & 0.42 & 23.10 & 0.02 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.18 & 0.37 ( 0.01 ) & 21.74 ( 0.84 ) & 0 ( 0 ) & 0.37 & 21.70 & 0.00 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.17 & 0.38 ( 0.01 ) & 22.59 ( 1.11 ) & 0 ( 0 ) & 0.38 & 22.50 & 0.00 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.18 & 0.38 ( 0.01 ) & 20.8 ( 0.95 ) & 0 ( 0 ) & 0.38 & 20.80 & 0.00 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.08 & 0.32 ( 0 ) & 29.71 ( 2.76 ) & 2.55 ( 0.12 ) & 0.32 & 29.7 & 2.55 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.14 & 0.28 ( 0 ) & 35.68 ( 1.62 ) & 0 ( 0 ) & 0.28 & 35.6 & 0.00 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.15 & 0.28 ( 0 ) & 32.67 ( 1.7 ) & 0 ( 0 ) & 0.28 & 32.6 & 0.00 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.16 & 0.28 ( 0 ) & 30.18 ( 1.66 ) & 0 ( 0 ) & 0.28 & 30.1 & 0.00 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.15 & 0.28 ( 0 ) & 32.6 ( 1.76 ) & 0 ( 0 ) & 0.28 & 32.6 & 0.00 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.10 & 0.3 ( 0 ) & 20.28 ( 2.74 ) & 3.25 ( 0.08 ) & 0.30 & 20.2 & 3.25 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.11 & 0.29 ( 0 ) & 46.27 ( 2.2 ) & 0 ( 0 ) & 0.29 & 46.2 & 0.00 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.14 & 0.28 ( 0 ) & 37.63 ( 1.92 ) & 0 ( 0 ) & 0.28 & 37.6 & 0.00 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.12 & 0.29 ( 0 ) & 42.75 ( 2.32 ) & 0 ( 0 ) & 0.29 & 42.7 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.12 & 0.29 ( 0 ) & 41.57 ( 2.28 ) & 0 ( 0 ) & 0.29 & 41.5 & 0.00 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.15 & 0.26 ( 0 ) & 18.76 ( 0.63 ) & 0.02 ( 0.01 ) & 0.26 & 18.7 & 0.02 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.22 & 0.26 ( 0 ) & 14.34 ( 0.49 ) & 0 ( 0 ) & 0.26 & 14.3 & 0.00 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.25 & 0.26 ( 0 ) & 12.73 ( 0.5 ) & 0 ( 0 ) & 0.26 & 12.7 & 0.00 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.25 & 0.26 ( 0 ) & 12.77 ( 0.52 ) & 0 ( 0 ) & 0.26 & 12.7 & 0.00 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.25 & 0.26 ( 0 ) & 12.64 ( 0.49 ) & 0 ( 0 ) & 0.26 & 12.6 & 0.00 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.13 & 0.27 ( 0 ) & 28.36 ( 0.94 ) & 0.06 ( 0.03 ) & 0.27 & 28.3 & 0.06 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.20 & 0.26 ( 0 ) & 19.57 ( 0.81 ) & 0 ( 0 ) & 0.26 & 19.5 & 0.00 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.18 & 0.26 ( 0 ) & 20.53 ( 0.72 ) & 0 ( 0 ) & 0.26 & 20.5 & 0.00 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.21 & 0.26 ( 0 ) & 18.55 ( 0.87 ) & 0 ( 0 ) & 0.26 & 18.5 & 0.00 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.19 & 0.26 ( 0 ) & 19.91 ( 0.91 ) & 0 ( 0 ) & 0.26 & 19.9 & 0.00 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.07 & 0.28 ( 0 ) & 61.47 ( 1.31 ) & 0.56 ( 0.07 ) & 0.28 & 61.4 & 0.56 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.14 & 0.27 ( 0 ) & 36.15 ( 1.61 ) & 0 ( 0 ) & 0.27 & 36.1 & 0.00 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.14 & 0.26 ( 0 ) & 33.71 ( 1.97 ) & 0 ( 0 ) & 0.26 & 33.7 & 0.00 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.15 & 0.26 ( 0 ) & 33.3 ( 1.59 ) & 0 ( 0 ) & 0.26 & 33.3 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.16 & 0.26 ( 0 ) & 30.4 ( 1.66 ) & 0 ( 0 ) & 0.26 & 30.4 & 0.00 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.05 & 0.29 ( 0 ) & 71.65 ( 3.47 ) & 1.5 ( 0.1 ) & 0.29 & 71.6 & 1.50 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.13 & 0.27 ( 0 ) & 39.23 ( 2 ) & 0 ( 0 ) & 0.27 & 39.2 & 0.00 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.14 & 0.27 ( 0 ) & 35.42 ( 1.84 ) & 0 ( 0 ) & 0.27 & 35.4 & 0.00 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.14 & 0.27 ( 0 ) & 36.88 ( 2.33 ) & 0 ( 0 ) & 0.27 & 36.8 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.13 & 0.27 ( 0 ) & 38.76 ( 2.16 ) & 0 ( 0 ) & 0.27 & 38.7 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.02 | 0.38 ( 0.02 ) | 10.9 ( 0.97 ) | 3.91 ( 0.15 ) | 0.38 | 10.90 | 3.91 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.17 | 0.56 ( 0.03 ) | 15.98 ( 0.61 ) | 0.26 ( 0.05 ) | 0.56 | 15.90 | 0.26 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.19 | 0.65 ( 0.05 ) | 15.43 ( 0.64 ) | 0.1 ( 0.04 ) | 0.65 | 15.40 | 0.10 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.18 | 0.63 ( 0.04 ) | 16.71 ( 0.61 ) | 0.04 ( 0.02 ) | 0.63 | 16.70 | 0.04 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.21 | 0.56 ( 0.03 ) | 14.5 ( 0.57 ) | 0.03 ( 0.02 ) | 0.56 | 14.50 | 0.03 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.03 | 0.41 ( 0.02 ) | 9.27 ( 0.76 ) | 4.63 ( 0.09 ) | 0.41 | 9.27 | 4.63 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.13 | 0.81 ( 0.05 ) | 22.23 ( 1.04 ) | 0.7 ( 0.08 ) | 0.81 | 22.20 | 0.70 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.16 | 0.8 ( 0.05 ) | 21.3 ( 0.83 ) | 0.3 ( 0.06 ) | 0.80 | 21.30 | 0.30 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.18 | 0.86 ( 0.07 ) | 19.83 ( 0.86 ) | 0.11 ( 0.03 ) | 0.86 | 19.80 | 0.11 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.18 | 0.75 ( 0.04 ) | 20.94 ( 0.7 ) | 0.07 ( 0.03 ) | 0.75 | 20.90 | 0.07 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.01 | 0.41 ( 0.02 ) | 30.9 ( 3.51 ) | 4.65 ( 0.13 ) | 0.41 | 30.90 | 4.65 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.05 | 1.29 ( 0.07 ) | 43.56 ( 3.08 ) | 2.15 ( 0.13 ) | 1.29 | 43.50 | 2.15 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.08 | 1.61 ( 0.1 ) | 36.33 ( 2.13 ) | 1.58 ( 0.11 ) | 1.61 | 36.30 | 1.58 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.10 | 2.19 ( 0.14 ) | 33.13 ( 1.76 ) | 1.25 ( 0.11 ) | 2.19 | 33.10 | 1.25 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.10 | 2.21 ( 0.15 ) | 35.26 ( 2.1 ) | 0.98 ( 0.09 ) | 2.21 | 35.20 | 0.98 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.00 | 0.41 ( 0.02 ) | 38.1 ( 4.05 ) | 5.01 ( 0.11 ) | 0.41 | 38.10 | 5.01 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.03 | 1.3 ( 0.07 ) | 61.12 ( 4.33 ) | 2.56 ( 0.12 ) | 1.30 | 61.10 | 2.56 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.04 | 2 ( 0.1 ) | 52.83 ( 3.84 ) | 2.29 ( 0.1 ) | 2.00 | 52.80 | 2.29 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.06 | 2.43 ( 0.14 ) | 41.11 ( 2.8 ) | 1.98 ( 0.11 ) | 2.43 | 41.10 | 1.98 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.07 | 3.06 ( 0.18 ) | 43.09 ( 2.82 ) | 1.57 ( 0.1 ) | 3.06 | 43.00 | 1.57 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.06 | 0.34 ( 0.01 ) | 13.39 ( 1.06 ) | 2.45 ( 0.16 ) | 0.34 | 13.30 | 2.45 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.20 | 0.34 ( 0.01 ) | 15.16 ( 0.6 ) | 0 ( 0 ) | 0.34 | 15.10 | 0.00 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.20 | 0.34 ( 0.01 ) | 14.94 ( 0.61 ) | 0 ( 0 ) | 0.34 | 14.90 | 0.00 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.22 | 0.33 ( 0.01 ) | 14.2 ( 0.55 ) | 0 ( 0 ) | 0.33 | 14.20 | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.23 | 0.33 ( 0.01 ) | 13.9 ( 0.6 ) | 0 ( 0 ) | 0.33 | 13.90 | 0.00 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.07 | 0.34 ( 0.01 ) | 10.1 ( 1.04 ) | 3.87 ( 0.13 ) | 0.34 | 10.10 | 3.87 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.16 | 0.42 ( 0.02 ) | 23.17 ( 0.94 ) | 0.02 ( 0.01 ) | 0.42 | 23.10 | 0.02 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.18 | 0.37 ( 0.01 ) | 21.74 ( 0.84 ) | 0 ( 0 ) | 0.37 | 21.70 | 0.00 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.17 | 0.38 ( 0.01 ) | 22.59 ( 1.11 ) | 0 ( 0 ) | 0.38 | 22.50 | 0.00 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.18 | 0.38 ( 0.01 ) | 20.8 ( 0.95 ) | 0 ( 0 ) | 0.38 | 20.80 | 0.00 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.08 | 0.32 ( 0 ) | 29.71 ( 2.76 ) | 2.55 ( 0.12 ) | 0.32 | 29.7 | 2.55 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.14 | 0.28 ( 0 ) | 35.68 ( 1.62 ) | 0 ( 0 ) | 0.28 | 35.6 | 0.00 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.15 | 0.28 ( 0 ) | 32.67 ( 1.7 ) | 0 ( 0 ) | 0.28 | 32.6 | 0.00 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.16 | 0.28 ( 0 ) | 30.18 ( 1.66 ) | 0 ( 0 ) | 0.28 | 30.1 | 0.00 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.15 | 0.28 ( 0 ) | 32.6 ( 1.76 ) | 0 ( 0 ) | 0.28 | 32.6 | 0.00 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.10 | 0.3 ( 0 ) | 20.28 ( 2.74 ) | 3.25 ( 0.08 ) | 0.30 | 20.2 | 3.25 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.11 | 0.29 ( 0 ) | 46.27 ( 2.2 ) | 0 ( 0 ) | 0.29 | 46.2 | 0.00 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.14 | 0.28 ( 0 ) | 37.63 ( 1.92 ) | 0 ( 0 ) | 0.28 | 37.6 | 0.00 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.12 | 0.29 ( 0 ) | 42.75 ( 2.32 ) | 0 ( 0 ) | 0.29 | 42.7 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.12 | 0.29 ( 0 ) | 41.57 ( 2.28 ) | 0 ( 0 ) | 0.29 | 41.5 | 0.00 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.15 | 0.26 ( 0 ) | 18.76 ( 0.63 ) | 0.02 ( 0.01 ) | 0.26 | 18.7 | 0.02 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.22 | 0.26 ( 0 ) | 14.34 ( 0.49 ) | 0 ( 0 ) | 0.26 | 14.3 | 0.00 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.25 | 0.26 ( 0 ) | 12.73 ( 0.5 ) | 0 ( 0 ) | 0.26 | 12.7 | 0.00 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.25 | 0.26 ( 0 ) | 12.77 ( 0.52 ) | 0 ( 0 ) | 0.26 | 12.7 | 0.00 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.25 | 0.26 ( 0 ) | 12.64 ( 0.49 ) | 0 ( 0 ) | 0.26 | 12.6 | 0.00 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.13 | 0.27 ( 0 ) | 28.36 ( 0.94 ) | 0.06 ( 0.03 ) | 0.27 | 28.3 | 0.06 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.20 | 0.26 ( 0 ) | 19.57 ( 0.81 ) | 0 ( 0 ) | 0.26 | 19.5 | 0.00 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.18 | 0.26 ( 0 ) | 20.53 ( 0.72 ) | 0 ( 0 ) | 0.26 | 20.5 | 0.00 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.21 | 0.26 ( 0 ) | 18.55 ( 0.87 ) | 0 ( 0 ) | 0.26 | 18.5 | 0.00 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.19 | 0.26 ( 0 ) | 19.91 ( 0.91 ) | 0 ( 0 ) | 0.26 | 19.9 | 0.00 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.07 | 0.28 ( 0 ) | 61.47 ( 1.31 ) | 0.56 ( 0.07 ) | 0.28 | 61.4 | 0.56 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.14 | 0.27 ( 0 ) | 36.15 ( 1.61 ) | 0 ( 0 ) | 0.27 | 36.1 | 0.00 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.14 | 0.26 ( 0 ) | 33.71 ( 1.97 ) | 0 ( 0 ) | 0.26 | 33.7 | 0.00 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.15 | 0.26 ( 0 ) | 33.3 ( 1.59 ) | 0 ( 0 ) | 0.26 | 33.3 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.16 | 0.26 ( 0 ) | 30.4 ( 1.66 ) | 0 ( 0 ) | 0.26 | 30.4 | 0.00 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.05 | 0.29 ( 0 ) | 71.65 ( 3.47 ) | 1.5 ( 0.1 ) | 0.29 | 71.6 | 1.50 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.13 | 0.27 ( 0 ) | 39.23 ( 2 ) | 0 ( 0 ) | 0.27 | 39.2 | 0.00 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.14 | 0.27 ( 0 ) | 35.42 ( 1.84 ) | 0 ( 0 ) | 0.27 | 35.4 | 0.00 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.14 | 0.27 ( 0 ) | 36.88 ( 2.33 ) | 0 ( 0 ) | 0.27 | 36.8 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.13 | 0.27 ( 0 ) | 38.76 ( 2.16 ) | 0 ( 0 ) | 0.27 | 38.7 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.02 0.38 ( 0.02 ) 10.9 ( 0.97 ) 3.91 ( 0.15 )\n", + "17 50 50 0.3 1.0 0.17 0.56 ( 0.03 ) 15.98 ( 0.61 ) 0.26 ( 0.05 )\n", + "33 50 50 0.5 1.0 0.19 0.65 ( 0.05 ) 15.43 ( 0.64 ) 0.1 ( 0.04 ) \n", + "49 50 50 0.7 1.0 0.18 0.63 ( 0.04 ) 16.71 ( 0.61 ) 0.04 ( 0.02 )\n", + "65 50 50 0.9 1.0 0.21 0.56 ( 0.03 ) 14.5 ( 0.57 ) 0.03 ( 0.02 )\n", + "5 50 100 0.1 2.0 0.03 0.41 ( 0.02 ) 9.27 ( 0.76 ) 4.63 ( 0.09 )\n", + "21 50 100 0.3 2.0 0.13 0.81 ( 0.05 ) 22.23 ( 1.04 ) 0.7 ( 0.08 ) \n", + "37 50 100 0.5 2.0 0.16 0.8 ( 0.05 ) 21.3 ( 0.83 ) 0.3 ( 0.06 ) \n", + "53 50 100 0.7 2.0 0.18 0.86 ( 0.07 ) 19.83 ( 0.86 ) 0.11 ( 0.03 )\n", + "69 50 100 0.9 2.0 0.18 0.75 ( 0.04 ) 20.94 ( 0.7 ) 0.07 ( 0.03 )\n", + "9 50 500 0.1 10.0 0.01 0.41 ( 0.02 ) 30.9 ( 3.51 ) 4.65 ( 0.13 )\n", + "25 50 500 0.3 10.0 0.05 1.29 ( 0.07 ) 43.56 ( 3.08 ) 2.15 ( 0.13 )\n", + "41 50 500 0.5 10.0 0.08 1.61 ( 0.1 ) 36.33 ( 2.13 ) 1.58 ( 0.11 )\n", + "57 50 500 0.7 10.0 0.10 2.19 ( 0.14 ) 33.13 ( 1.76 ) 1.25 ( 0.11 )\n", + "73 50 500 0.9 10.0 0.10 2.21 ( 0.15 ) 35.26 ( 2.1 ) 0.98 ( 0.09 )\n", + "13 50 1000 0.1 20.0 0.00 0.41 ( 0.02 ) 38.1 ( 4.05 ) 5.01 ( 0.11 )\n", + "29 50 1000 0.3 20.0 0.03 1.3 ( 0.07 ) 61.12 ( 4.33 ) 2.56 ( 0.12 )\n", + "45 50 1000 0.5 20.0 0.04 2 ( 0.1 ) 52.83 ( 3.84 ) 2.29 ( 0.1 ) \n", + "61 50 1000 0.7 20.0 0.06 2.43 ( 0.14 ) 41.11 ( 2.8 ) 1.98 ( 0.11 )\n", + "77 50 1000 0.9 20.0 0.07 3.06 ( 0.18 ) 43.09 ( 2.82 ) 1.57 ( 0.1 ) \n", + "2 100 50 0.1 0.5 0.06 0.34 ( 0.01 ) 13.39 ( 1.06 ) 2.45 ( 0.16 )\n", + "18 100 50 0.3 0.5 0.20 0.34 ( 0.01 ) 15.16 ( 0.6 ) 0 ( 0 ) \n", + "34 100 50 0.5 0.5 0.20 0.34 ( 0.01 ) 14.94 ( 0.61 ) 0 ( 0 ) \n", + "50 100 50 0.7 0.5 0.22 0.33 ( 0.01 ) 14.2 ( 0.55 ) 0 ( 0 ) \n", + "66 100 50 0.9 0.5 0.23 0.33 ( 0.01 ) 13.9 ( 0.6 ) 0 ( 0 ) \n", + "6 100 100 0.1 1.0 0.07 0.34 ( 0.01 ) 10.1 ( 1.04 ) 3.87 ( 0.13 )\n", + "22 100 100 0.3 1.0 0.16 0.42 ( 0.02 ) 23.17 ( 0.94 ) 0.02 ( 0.01 )\n", + "38 100 100 0.5 1.0 0.18 0.37 ( 0.01 ) 21.74 ( 0.84 ) 0 ( 0 ) \n", + "54 100 100 0.7 1.0 0.17 0.38 ( 0.01 ) 22.59 ( 1.11 ) 0 ( 0 ) \n", + "70 100 100 0.9 1.0 0.18 0.38 ( 0.01 ) 20.8 ( 0.95 ) 0 ( 0 ) \n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.08 0.32 ( 0 ) 29.71 ( 2.76 ) 2.55 ( 0.12 )\n", + "27 500 500 0.3 1.00 0.14 0.28 ( 0 ) 35.68 ( 1.62 ) 0 ( 0 ) \n", + "43 500 500 0.5 1.00 0.15 0.28 ( 0 ) 32.67 ( 1.7 ) 0 ( 0 ) \n", + "59 500 500 0.7 1.00 0.16 0.28 ( 0 ) 30.18 ( 1.66 ) 0 ( 0 ) \n", + "75 500 500 0.9 1.00 0.15 0.28 ( 0 ) 32.6 ( 1.76 ) 0 ( 0 ) \n", + "15 500 1000 0.1 2.00 0.10 0.3 ( 0 ) 20.28 ( 2.74 ) 3.25 ( 0.08 )\n", + "31 500 1000 0.3 2.00 0.11 0.29 ( 0 ) 46.27 ( 2.2 ) 0 ( 0 ) \n", + "47 500 1000 0.5 2.00 0.14 0.28 ( 0 ) 37.63 ( 1.92 ) 0 ( 0 ) \n", + "63 500 1000 0.7 2.00 0.12 0.29 ( 0 ) 42.75 ( 2.32 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.00 0.12 0.29 ( 0 ) 41.57 ( 2.28 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.15 0.26 ( 0 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1000 0.1 1.00 0.05 0.29 ( 0 ) 71.65 ( 3.47 ) 1.5 ( 0.1 ) \n", + "32 1000 1000 0.3 1.00 0.13 0.27 ( 0 ) 39.23 ( 2 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.14 0.27 ( 0 ) 35.42 ( 1.84 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.14 0.27 ( 0 ) 36.88 ( 2.33 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.13 0.27 ( 0 ) 38.76 ( 2.16 ) 0 ( 0 ) \n", + " MSE_mean FP_mean FN_mean\n", + "1 0.38 10.90 3.91 \n", + "17 0.56 15.90 0.26 \n", + "33 0.65 15.40 0.10 \n", + "49 0.63 16.70 0.04 \n", + "65 0.56 14.50 0.03 \n", + "5 0.41 9.27 4.63 \n", + "21 0.81 22.20 0.70 \n", + "37 0.80 21.30 0.30 \n", + "53 0.86 19.80 0.11 \n", + "69 0.75 20.90 0.07 \n", + "9 0.41 30.90 4.65 \n", + "25 1.29 43.50 2.15 \n", + "41 1.61 36.30 1.58 \n", + "57 2.19 33.10 1.25 \n", + "73 2.21 35.20 0.98 \n", + "13 0.41 38.10 5.01 \n", + "29 1.30 61.10 2.56 \n", + "45 2.00 52.80 2.29 \n", + "61 2.43 41.10 1.98 \n", + "77 3.06 43.00 1.57 \n", + "2 0.34 13.30 2.45 \n", + "18 0.34 15.10 0.00 \n", + "34 0.34 14.90 0.00 \n", + "50 0.33 14.20 0.00 \n", + "66 0.33 13.90 0.00 \n", + "6 0.34 10.10 3.87 \n", + "22 0.42 23.10 0.02 \n", + "38 0.37 21.70 0.00 \n", + "54 0.38 22.50 0.00 \n", + "70 0.38 20.80 0.00 \n", + "... ... ... ... \n", + "11 0.32 29.7 2.55 \n", + "27 0.28 35.6 0.00 \n", + "43 0.28 32.6 0.00 \n", + "59 0.28 30.1 0.00 \n", + "75 0.28 32.6 0.00 \n", + "15 0.30 20.2 3.25 \n", + "31 0.29 46.2 0.00 \n", + "47 0.28 37.6 0.00 \n", + "63 0.29 42.7 0.00 \n", + "79 0.29 41.5 0.00 \n", + "4 0.26 18.7 0.02 \n", + "20 0.26 14.3 0.00 \n", + "36 0.26 12.7 0.00 \n", + "52 0.26 12.7 0.00 \n", + "68 0.26 12.6 0.00 \n", + "8 0.27 28.3 0.06 \n", + "24 0.26 19.5 0.00 \n", + "40 0.26 20.5 0.00 \n", + "56 0.26 18.5 0.00 \n", + "72 0.26 19.9 0.00 \n", + "12 0.28 61.4 0.56 \n", + "28 0.27 36.1 0.00 \n", + "44 0.26 33.7 0.00 \n", + "60 0.26 33.3 0.00 \n", + "76 0.26 30.4 0.00 \n", + "16 0.29 71.6 1.50 \n", + "32 0.27 39.2 0.00 \n", + "48 0.27 35.4 0.00 \n", + "64 0.27 36.8 0.00 \n", + "80 0.27 38.7 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[with(result.table_block, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_block_lasso.ipynb b/simulations/notebooks_simulations/sim_block_lasso.ipynb new file mode 100644 index 0000000..573ded8 --- /dev/null +++ b/simulations/notebooks_simulations/sim_block_lasso.ipynb @@ -0,0 +1,877 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/block_Lasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_block_lasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_block = NULL\n", + "tmp_num_select = rep(0, length(results_block_lasso))\n", + "for (i in 1:length(results_block_lasso)){\n", + " table_block = rbind(table_block, results_block_lasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_block_lasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_block = as.data.frame(table_block)\n", + "table_block$num_select = tmp_num_select\n", + "table_block$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 3.52 ( 0.22 )4.92 ( 0.08 )0.36 ( 0.01 )0.05 3.60 0.65
    100 50 0.1 2.71 ( 0.25 )4.4 ( 0.1 ) 0.31 ( 0.01 )0.18 3.31 0.42
    500 50 0.1 5.42 ( 0.25 )1.97 ( 0.11 )0.29 ( 0 ) 0.35 8.45 0.48
    1000 50 0.1 4.91 ( 0.2 ) 1.57 ( 0.09 )0.28 ( 0 ) 0.44 8.34 0.44
    50 100 0.1 4.73 ( 0.22 )4.79 ( 0.08 )0.37 ( 0.02 )0.06 4.94 0.72
    100 100 0.1 3 ( 0.15 ) 4.75 ( 0.09 )0.34 ( 0.01 )0.13 3.25 0.57
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 3.52 ( 0.22 ) & 4.92 ( 0.08 ) & 0.36 ( 0.01 ) & 0.05 & 3.60 & 0.65 \\\\\n", + "\t 100 & 50 & 0.1 & 2.71 ( 0.25 ) & 4.4 ( 0.1 ) & 0.31 ( 0.01 ) & 0.18 & 3.31 & 0.42 \\\\\n", + "\t 500 & 50 & 0.1 & 5.42 ( 0.25 ) & 1.97 ( 0.11 ) & 0.29 ( 0 ) & 0.35 & 8.45 & 0.48 \\\\\n", + "\t 1000 & 50 & 0.1 & 4.91 ( 0.2 ) & 1.57 ( 0.09 ) & 0.28 ( 0 ) & 0.44 & 8.34 & 0.44 \\\\\n", + "\t 50 & 100 & 0.1 & 4.73 ( 0.22 ) & 4.79 ( 0.08 ) & 0.37 ( 0.02 ) & 0.06 & 4.94 & 0.72 \\\\\n", + "\t 100 & 100 & 0.1 & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 0.34 ( 0.01 ) & 0.13 & 3.25 & 0.57 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 3.52 ( 0.22 ) | 4.92 ( 0.08 ) | 0.36 ( 0.01 ) | 0.05 | 3.60 | 0.65 |\n", + "| 100 | 50 | 0.1 | 2.71 ( 0.25 ) | 4.4 ( 0.1 ) | 0.31 ( 0.01 ) | 0.18 | 3.31 | 0.42 |\n", + "| 500 | 50 | 0.1 | 5.42 ( 0.25 ) | 1.97 ( 0.11 ) | 0.29 ( 0 ) | 0.35 | 8.45 | 0.48 |\n", + "| 1000 | 50 | 0.1 | 4.91 ( 0.2 ) | 1.57 ( 0.09 ) | 0.28 ( 0 ) | 0.44 | 8.34 | 0.44 |\n", + "| 50 | 100 | 0.1 | 4.73 ( 0.22 ) | 4.79 ( 0.08 ) | 0.37 ( 0.02 ) | 0.06 | 4.94 | 0.72 |\n", + "| 100 | 100 | 0.1 | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 0.34 ( 0.01 ) | 0.13 | 3.25 | 0.57 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 3.52 ( 0.22 ) 4.92 ( 0.08 ) 0.36 ( 0.01 ) 0.05 3.60 0.65\n", + "2 100 50 0.1 2.71 ( 0.25 ) 4.4 ( 0.1 ) 0.31 ( 0.01 ) 0.18 3.31 0.42\n", + "3 500 50 0.1 5.42 ( 0.25 ) 1.97 ( 0.11 ) 0.29 ( 0 ) 0.35 8.45 0.48\n", + "4 1000 50 0.1 4.91 ( 0.2 ) 1.57 ( 0.09 ) 0.28 ( 0 ) 0.44 8.34 0.44\n", + "5 50 100 0.1 4.73 ( 0.22 ) 4.79 ( 0.08 ) 0.37 ( 0.02 ) 0.06 4.94 0.72\n", + "6 100 100 0.1 3 ( 0.15 ) 4.75 ( 0.09 ) 0.34 ( 0.01 ) 0.13 3.25 0.57" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_block <- apply(table_block,2,as.character)\n", + "rownames(result.table_block) = rownames(table_block)\n", + "result.table_block = as.data.frame(result.table_block)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_block$n = tidyr::extract_numeric(result.table_block$n)\n", + "result.table_block$p = tidyr::extract_numeric(result.table_block$p)\n", + "result.table_block$ratio = result.table_block$p / result.table_block$n\n", + "\n", + "result.table_block = result.table_block[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_block)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_block$Stab = as.numeric(as.character(result.table_block$Stab))\n", + "result.table_block$MSE_mean = as.numeric(substr(result.table_block$MSE, start=1, stop=4))\n", + "result.table_block$FP_mean = as.numeric(substr(result.table_block$FP, start=1, stop=4))\n", + "result.table_block$FN_mean = as.numeric(substr(result.table_block$FN, start=1, stop=4))\n", + "result.table_block$FN_mean[is.na(result.table_block$FN_mean)] = 0\n", + "result.table_block$num_select = as.numeric(as.character(result.table_block$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    6100 100 0.1 1 0.13 0.34 ( 0.01 )3 ( 0.15 ) 4.75 ( 0.09 )3.25 0.57 0.34 NA 4.75
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t6 & 100 & 100 & 0.1 & 1 & 0.13 & 0.34 ( 0.01 ) & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 3.25 & 0.57 & 0.34 & NA & 4.75 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 6 | 100 | 100 | 0.1 | 1 | 0.13 | 0.34 ( 0.01 ) | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 3.25 | 0.57 | 0.34 | NA | 4.75 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "6 100 100 0.1 1 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 ) 3.25 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "6 0.57 0.34 NA 4.75 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_block[rowSums(is.na(result.table_block)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_block$FP_mean[is.na(result.table_block$FP_mean)] = 3" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    6100 100 0.1 1 0.13 0.34 ( 0.01 )3 ( 0.15 ) 4.75 ( 0.09 )3.25 0.57 0.34 3 4.75
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t6 & 100 & 100 & 0.1 & 1 & 0.13 & 0.34 ( 0.01 ) & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 3.25 & 0.57 & 0.34 & 3 & 4.75 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 6 | 100 | 100 | 0.1 | 1 | 0.13 | 0.34 ( 0.01 ) | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 3.25 | 0.57 | 0.34 | 3 | 4.75 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "6 100 100 0.1 1 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 ) 3.25 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "6 0.57 0.34 3 4.75 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[6, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.05 0.36 ( 0.01 )3.52 ( 0.22 )4.92 ( 0.08 )3.60 0.65 0.36 3.52 4.92
    100 50 0.1 0.50 0.18 0.31 ( 0.01 )2.71 ( 0.25 )4.4 ( 0.1 ) 3.31 0.42 0.31 2.71 4.40
    500 50 0.1 0.10 0.35 0.29 ( 0 ) 5.42 ( 0.25 )1.97 ( 0.11 )8.45 0.48 0.29 5.42 1.97
    1000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 )8.34 0.44 0.28 4.91 1.57
    50 100 0.1 2.00 0.06 0.37 ( 0.02 )4.73 ( 0.22 )4.79 ( 0.08 )4.94 0.72 0.37 4.73 4.79
    100 100 0.1 1.00 0.13 0.34 ( 0.01 )3 ( 0.15 ) 4.75 ( 0.09 )3.25 0.57 0.34 3.00 4.75
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.05 & 0.36 ( 0.01 ) & 3.52 ( 0.22 ) & 4.92 ( 0.08 ) & 3.60 & 0.65 & 0.36 & 3.52 & 4.92 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.18 & 0.31 ( 0.01 ) & 2.71 ( 0.25 ) & 4.4 ( 0.1 ) & 3.31 & 0.42 & 0.31 & 2.71 & 4.40 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.35 & 0.29 ( 0 ) & 5.42 ( 0.25 ) & 1.97 ( 0.11 ) & 8.45 & 0.48 & 0.29 & 5.42 & 1.97 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.44 & 0.28 ( 0 ) & 4.91 ( 0.2 ) & 1.57 ( 0.09 ) & 8.34 & 0.44 & 0.28 & 4.91 & 1.57 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.06 & 0.37 ( 0.02 ) & 4.73 ( 0.22 ) & 4.79 ( 0.08 ) & 4.94 & 0.72 & 0.37 & 4.73 & 4.79 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.13 & 0.34 ( 0.01 ) & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 3.25 & 0.57 & 0.34 & 3.00 & 4.75 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.05 | 0.36 ( 0.01 ) | 3.52 ( 0.22 ) | 4.92 ( 0.08 ) | 3.60 | 0.65 | 0.36 | 3.52 | 4.92 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.18 | 0.31 ( 0.01 ) | 2.71 ( 0.25 ) | 4.4 ( 0.1 ) | 3.31 | 0.42 | 0.31 | 2.71 | 4.40 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.35 | 0.29 ( 0 ) | 5.42 ( 0.25 ) | 1.97 ( 0.11 ) | 8.45 | 0.48 | 0.29 | 5.42 | 1.97 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.44 | 0.28 ( 0 ) | 4.91 ( 0.2 ) | 1.57 ( 0.09 ) | 8.34 | 0.44 | 0.28 | 4.91 | 1.57 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.06 | 0.37 ( 0.02 ) | 4.73 ( 0.22 ) | 4.79 ( 0.08 ) | 4.94 | 0.72 | 0.37 | 4.73 | 4.79 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.13 | 0.34 ( 0.01 ) | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 3.25 | 0.57 | 0.34 | 3.00 | 4.75 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.05 0.36 ( 0.01 ) 3.52 ( 0.22 ) 4.92 ( 0.08 ) 3.60 \n", + "2 100 50 0.1 0.50 0.18 0.31 ( 0.01 ) 2.71 ( 0.25 ) 4.4 ( 0.1 ) 3.31 \n", + "3 500 50 0.1 0.10 0.35 0.29 ( 0 ) 5.42 ( 0.25 ) 1.97 ( 0.11 ) 8.45 \n", + "4 1000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 ) 8.34 \n", + "5 50 100 0.1 2.00 0.06 0.37 ( 0.02 ) 4.73 ( 0.22 ) 4.79 ( 0.08 ) 4.94 \n", + "6 100 100 0.1 1.00 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 ) 3.25 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.65 0.36 3.52 4.92 \n", + "2 0.42 0.31 2.71 4.40 \n", + "3 0.48 0.29 5.42 1.97 \n", + "4 0.44 0.28 4.91 1.57 \n", + "5 0.72 0.37 4.73 4.79 \n", + "6 0.57 0.34 3.00 4.75 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    75 500 500 0.9 1.0 0.50 0.29 ( 0 ) 6.87 ( 0.54 ) 0 ( 0 ) 11.87 0.41 0.29 6.87 0.00
    761000 500 0.9 0.5 0.71 0.27 ( 0 ) 3.37 ( 0.27 ) 0 ( 0 ) 8.37 0.23 0.27 3.37 0.00
    77 50 1000 0.9 20.0 0.11 2.46 ( 0.16 ) 25.37 ( 0.35 )1.73 ( 0.12 ) 28.64 0.85 2.46 25.30 1.73
    78 100 1000 0.9 10.0 0.22 0.62 ( 0.03 ) 21.43 ( 0.62 )0 ( 0 ) 26.43 0.76 0.62 21.40 0.00
    79 500 1000 0.9 2.0 0.46 0.3 ( 0 ) 7.99 ( 0.79 ) 0 ( 0 ) 12.99 0.42 0.30 7.99 0.00
    801000 1000 0.9 1.0 0.60 0.28 ( 0 ) 4.93 ( 0.43 ) 0 ( 0 ) 9.93 0.31 0.28 4.93 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.50 & 0.29 ( 0 ) & 6.87 ( 0.54 ) & 0 ( 0 ) & 11.87 & 0.41 & 0.29 & 6.87 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.71 & 0.27 ( 0 ) & 3.37 ( 0.27 ) & 0 ( 0 ) & 8.37 & 0.23 & 0.27 & 3.37 & 0.00 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.11 & 2.46 ( 0.16 ) & 25.37 ( 0.35 ) & 1.73 ( 0.12 ) & 28.64 & 0.85 & 2.46 & 25.30 & 1.73 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.22 & 0.62 ( 0.03 ) & 21.43 ( 0.62 ) & 0 ( 0 ) & 26.43 & 0.76 & 0.62 & 21.40 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.46 & 0.3 ( 0 ) & 7.99 ( 0.79 ) & 0 ( 0 ) & 12.99 & 0.42 & 0.30 & 7.99 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.60 & 0.28 ( 0 ) & 4.93 ( 0.43 ) & 0 ( 0 ) & 9.93 & 0.31 & 0.28 & 4.93 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.50 | 0.29 ( 0 ) | 6.87 ( 0.54 ) | 0 ( 0 ) | 11.87 | 0.41 | 0.29 | 6.87 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.71 | 0.27 ( 0 ) | 3.37 ( 0.27 ) | 0 ( 0 ) | 8.37 | 0.23 | 0.27 | 3.37 | 0.00 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.11 | 2.46 ( 0.16 ) | 25.37 ( 0.35 ) | 1.73 ( 0.12 ) | 28.64 | 0.85 | 2.46 | 25.30 | 1.73 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.22 | 0.62 ( 0.03 ) | 21.43 ( 0.62 ) | 0 ( 0 ) | 26.43 | 0.76 | 0.62 | 21.40 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.46 | 0.3 ( 0 ) | 7.99 ( 0.79 ) | 0 ( 0 ) | 12.99 | 0.42 | 0.30 | 7.99 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.60 | 0.28 ( 0 ) | 4.93 ( 0.43 ) | 0 ( 0 ) | 9.93 | 0.31 | 0.28 | 4.93 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.50 0.29 ( 0 ) 6.87 ( 0.54 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.5 0.71 0.27 ( 0 ) 3.37 ( 0.27 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.11 2.46 ( 0.16 ) 25.37 ( 0.35 ) 1.73 ( 0.12 )\n", + "78 100 1000 0.9 10.0 0.22 0.62 ( 0.03 ) 21.43 ( 0.62 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.0 0.46 0.3 ( 0 ) 7.99 ( 0.79 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.0 0.60 0.28 ( 0 ) 4.93 ( 0.43 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 11.87 0.41 0.29 6.87 0.00 \n", + "76 8.37 0.23 0.27 3.37 0.00 \n", + "77 28.64 0.85 2.46 25.30 1.73 \n", + "78 26.43 0.76 0.62 21.40 0.00 \n", + "79 12.99 0.42 0.30 7.99 0.00 \n", + "80 9.93 0.31 0.28 4.93 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_block, '../results_summary/sim_block_lasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_block_lasso.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_block$N = as.factor(result.table_block$N)\n", + "fig_block_stab = ggplot(result.table_block, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_block_mse = ggplot(result.table_block, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_block_fp = ggplot(result.table_block, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_block_fn = ggplot(result.table_block, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_block_stab, fig_block_mse, fig_block_fp, fig_block_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Block_Lasso\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_block_lasso.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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    NPCorrRatioStabMSEFPFNMSE_meanFP_meanFN_mean
    150 50 0.1 1.0 0.05 0.36 ( 0.01 ) 3.52 ( 0.22 ) 4.92 ( 0.08 ) 0.36 3.52 4.92
    1750 50 0.3 1.0 0.27 0.72 ( 0.04 ) 8.7 ( 0.42 ) 0.79 ( 0.09 ) 0.72 8.70 0.79
    3350 50 0.5 1.0 0.33 0.64 ( 0.03 ) 9.36 ( 0.45 ) 0.12 ( 0.04 ) 0.64 9.36 0.12
    4950 50 0.7 1.0 0.36 0.57 ( 0.04 ) 8.63 ( 0.41 ) 0.06 ( 0.02 ) 0.57 8.63 0.06
    6550 50 0.9 1.0 0.32 0.61 ( 0.05 ) 9.61 ( 0.49 ) 0.07 ( 0.03 ) 0.61 9.61 0.07
    550 100 0.1 2.0 0.06 0.37 ( 0.02 ) 4.73 ( 0.22 ) 4.79 ( 0.08 ) 0.37 4.73 4.79
    2150 100 0.3 2.0 0.21 0.82 ( 0.05 ) 12.31 ( 0.43 )1.14 ( 0.1 ) 0.82 12.30 1.14
    3750 100 0.5 2.0 0.28 0.78 ( 0.05 ) 12.05 ( 0.47 )0.38 ( 0.07 ) 0.78 12.00 0.38
    5350 100 0.7 2.0 0.30 0.82 ( 0.05 ) 11.87 ( 0.44 )0.17 ( 0.05 ) 0.82 11.80 0.17
    6950 100 0.9 2.0 0.29 0.87 ( 0.05 ) 12.12 ( 0.37 )0.17 ( 0.05 ) 0.87 12.10 0.17
    950 500 0.1 10.0 0.01 0.37 ( 0.02 ) 10.58 ( 0.31 )5.25 ( 0.07 ) 0.37 10.50 5.25
    2550 500 0.3 10.0 0.09 1.25 ( 0.07 ) 20.71 ( 0.36 )2.63 ( 0.11 ) 1.25 20.70 2.63
    4150 500 0.5 10.0 0.12 1.64 ( 0.1 ) 21.8 ( 0.36 ) 1.82 ( 0.11 ) 1.64 21.80 1.82
    5750 500 0.7 10.0 0.15 2.03 ( 0.14 ) 21.53 ( 0.36 )1.18 ( 0.11 ) 2.03 21.50 1.18
    7350 500 0.9 10.0 0.14 2.29 ( 0.15 ) 23.7 ( 0.43 ) 1.18 ( 0.11 ) 2.29 23.70 1.18
    1350 1000 0.1 20.0 0.01 0.39 ( 0.02 ) 13.99 ( 0.32 )5.31 ( 0.07 ) 0.39 13.90 5.31
    2950 1000 0.3 20.0 0.06 1.51 ( 0.08 ) 24.06 ( 0.36 )3.21 ( 0.11 ) 1.51 24.00 3.21
    4550 1000 0.5 20.0 0.09 1.84 ( 0.1 ) 24.67 ( 0.36 )2.56 ( 0.11 ) 1.84 24.60 2.56
    6150 1000 0.7 20.0 0.10 2.51 ( 0.13 ) 25.24 ( 0.32 )2.11 ( 0.12 ) 2.51 25.20 2.11
    7750 1000 0.9 20.0 0.11 2.46 ( 0.16 ) 25.37 ( 0.35 )1.73 ( 0.12 ) 2.46 25.30 1.73
    2100 50 0.1 0.5 0.18 0.31 ( 0.01 ) 2.71 ( 0.25 ) 4.4 ( 0.1 ) 0.31 2.71 4.40
    18100 50 0.3 0.5 0.39 0.4 ( 0.01 ) 7.91 ( 0.47 ) 0.01 ( 0.01 ) 0.40 7.91 0.01
    34100 50 0.5 0.5 0.41 0.36 ( 0.01 ) 7.39 ( 0.39 ) 0 ( 0 ) 0.36 7.39 0.00
    50100 50 0.7 0.5 0.45 0.37 ( 0.01 ) 6.73 ( 0.39 ) 0 ( 0 ) 0.37 6.73 0.00
    66100 50 0.9 0.5 0.44 0.37 ( 0.01 ) 6.82 ( 0.39 ) 0 ( 0 ) 0.37 6.82 0.00
    6100 100 0.1 1.0 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 ) 0.34 3.00 4.75
    22100 100 0.3 1.0 0.34 0.44 ( 0.01 ) 10.58 ( 0.62 )0.09 ( 0.03 ) 0.44 10.50 0.09
    38100 100 0.5 1.0 0.37 0.42 ( 0.02 ) 9.57 ( 0.58 ) 0 ( 0 ) 0.42 9.57 0.00
    54100 100 0.7 1.0 0.37 0.41 ( 0.02 ) 9.7 ( 0.63 ) 0 ( 0 ) 0.41 9.70 0.00
    70100 100 0.9 1.0 0.40 0.38 ( 0.01 ) 8.72 ( 0.53 ) 0 ( 0 ) 0.38 8.72 0.00
    ....................................
    11500 500 0.1 1.00 0.33 0.32 ( 0.01 ) 3.77 ( 0.75 ) 3.69 ( 0.08 ) 0.32 3.77 3.69
    27500 500 0.3 1.00 0.47 0.29 ( 0 ) 7.7 ( 0.54 ) 0 ( 0 ) 0.29 7.70 0.00
    43500 500 0.5 1.00 0.46 0.3 ( 0 ) 7.82 ( 0.64 ) 0 ( 0 ) 0.30 7.82 0.00
    59500 500 0.7 1.00 0.51 0.29 ( 0 ) 6.69 ( 0.45 ) 0 ( 0 ) 0.29 6.69 0.00
    75500 500 0.9 1.00 0.50 0.29 ( 0 ) 6.87 ( 0.54 ) 0 ( 0 ) 0.29 6.87 0.00
    15500 1000 0.1 2.00 0.48 0.33 ( 0 ) 1.83 ( 0.19 ) 3.97 ( 0.07 ) 0.33 1.83 3.97
    31500 1000 0.3 2.00 0.35 0.29 ( 0 ) 11.72 ( 0.9 ) 0 ( 0 ) 0.29 11.70 0.00
    47500 1000 0.5 2.00 0.45 0.29 ( 0 ) 8.22 ( 0.73 ) 0 ( 0 ) 0.29 8.22 0.00
    63500 1000 0.7 2.00 0.47 0.3 ( 0 ) 7.81 ( 0.61 ) 0 ( 0 ) 0.30 7.81 0.00
    79500 1000 0.9 2.00 0.46 0.3 ( 0 ) 7.99 ( 0.79 ) 0 ( 0 ) 0.30 7.99 0.00
    41000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 ) 0.28 4.91 1.57
    201000 50 0.3 0.05 0.78 0.27 ( 0 ) 2.45 ( 0.14 ) 0 ( 0 ) 0.27 2.45 0.00
    361000 50 0.5 0.05 0.82 0.27 ( 0 ) 2.11 ( 0.13 ) 0 ( 0 ) 0.27 2.11 0.00
    521000 50 0.7 0.05 0.85 0.27 ( 0 ) 1.89 ( 0.12 ) 0 ( 0 ) 0.27 1.89 0.00
    681000 50 0.9 0.05 0.87 0.27 ( 0 ) 1.76 ( 0.11 ) 0 ( 0 ) 0.27 1.76 0.00
    81000 100 0.1 0.10 0.33 0.29 ( 0 ) 7.77 ( 0.33 ) 1.44 ( 0.08 ) 0.29 7.77 1.44
    241000 100 0.3 0.10 0.69 0.27 ( 0 ) 3.46 ( 0.29 ) 0 ( 0 ) 0.27 3.46 0.00
    401000 100 0.5 0.10 0.78 0.27 ( 0 ) 2.58 ( 0.16 ) 0 ( 0 ) 0.27 2.58 0.00
    561000 100 0.7 0.10 0.76 0.27 ( 0 ) 2.71 ( 0.23 ) 0 ( 0 ) 0.27 2.71 0.00
    721000 100 0.9 0.10 0.76 0.27 ( 0 ) 2.72 ( 0.23 ) 0 ( 0 ) 0.27 2.72 0.00
    121000 500 0.1 0.50 0.14 0.29 ( 0 ) 20.61 ( 1.39 )2.11 ( 0.1 ) 0.29 20.60 2.11
    281000 500 0.3 0.50 0.53 0.27 ( 0 ) 6.14 ( 0.57 ) 0 ( 0 ) 0.27 6.14 0.00
    441000 500 0.5 0.50 0.65 0.28 ( 0 ) 4.16 ( 0.33 ) 0 ( 0 ) 0.28 4.16 0.00
    601000 500 0.7 0.50 0.62 0.28 ( 0 ) 4.65 ( 0.37 ) 0 ( 0 ) 0.28 4.65 0.00
    761000 500 0.9 0.50 0.71 0.27 ( 0 ) 3.37 ( 0.27 ) 0 ( 0 ) 0.27 3.37 0.00
    161000 1000 0.1 1.00 0.17 0.3 ( 0 ) 13.42 ( 1.74 )2.77 ( 0.09 ) 0.30 13.40 2.77
    321000 1000 0.3 1.00 0.51 0.27 ( 0 ) 6.69 ( 0.52 ) 0 ( 0 ) 0.27 6.69 0.00
    481000 1000 0.5 1.00 0.53 0.27 ( 0 ) 6.36 ( 0.51 ) 0 ( 0 ) 0.27 6.36 0.00
    641000 1000 0.7 1.00 0.65 0.28 ( 0 ) 4.14 ( 0.35 ) 0 ( 0 ) 0.28 4.14 0.00
    801000 1000 0.9 1.00 0.60 0.28 ( 0 ) 4.93 ( 0.43 ) 0 ( 0 ) 0.28 4.93 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.05 & 0.36 ( 0.01 ) & 3.52 ( 0.22 ) & 4.92 ( 0.08 ) & 0.36 & 3.52 & 4.92 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.27 & 0.72 ( 0.04 ) & 8.7 ( 0.42 ) & 0.79 ( 0.09 ) & 0.72 & 8.70 & 0.79 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.33 & 0.64 ( 0.03 ) & 9.36 ( 0.45 ) & 0.12 ( 0.04 ) & 0.64 & 9.36 & 0.12 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.36 & 0.57 ( 0.04 ) & 8.63 ( 0.41 ) & 0.06 ( 0.02 ) & 0.57 & 8.63 & 0.06 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.32 & 0.61 ( 0.05 ) & 9.61 ( 0.49 ) & 0.07 ( 0.03 ) & 0.61 & 9.61 & 0.07 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.06 & 0.37 ( 0.02 ) & 4.73 ( 0.22 ) & 4.79 ( 0.08 ) & 0.37 & 4.73 & 4.79 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.21 & 0.82 ( 0.05 ) & 12.31 ( 0.43 ) & 1.14 ( 0.1 ) & 0.82 & 12.30 & 1.14 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.28 & 0.78 ( 0.05 ) & 12.05 ( 0.47 ) & 0.38 ( 0.07 ) & 0.78 & 12.00 & 0.38 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.30 & 0.82 ( 0.05 ) & 11.87 ( 0.44 ) & 0.17 ( 0.05 ) & 0.82 & 11.80 & 0.17 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.29 & 0.87 ( 0.05 ) & 12.12 ( 0.37 ) & 0.17 ( 0.05 ) & 0.87 & 12.10 & 0.17 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.01 & 0.37 ( 0.02 ) & 10.58 ( 0.31 ) & 5.25 ( 0.07 ) & 0.37 & 10.50 & 5.25 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.09 & 1.25 ( 0.07 ) & 20.71 ( 0.36 ) & 2.63 ( 0.11 ) & 1.25 & 20.70 & 2.63 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.12 & 1.64 ( 0.1 ) & 21.8 ( 0.36 ) & 1.82 ( 0.11 ) & 1.64 & 21.80 & 1.82 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.15 & 2.03 ( 0.14 ) & 21.53 ( 0.36 ) & 1.18 ( 0.11 ) & 2.03 & 21.50 & 1.18 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.14 & 2.29 ( 0.15 ) & 23.7 ( 0.43 ) & 1.18 ( 0.11 ) & 2.29 & 23.70 & 1.18 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.01 & 0.39 ( 0.02 ) & 13.99 ( 0.32 ) & 5.31 ( 0.07 ) & 0.39 & 13.90 & 5.31 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.06 & 1.51 ( 0.08 ) & 24.06 ( 0.36 ) & 3.21 ( 0.11 ) & 1.51 & 24.00 & 3.21 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.09 & 1.84 ( 0.1 ) & 24.67 ( 0.36 ) & 2.56 ( 0.11 ) & 1.84 & 24.60 & 2.56 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.10 & 2.51 ( 0.13 ) & 25.24 ( 0.32 ) & 2.11 ( 0.12 ) & 2.51 & 25.20 & 2.11 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.11 & 2.46 ( 0.16 ) & 25.37 ( 0.35 ) & 1.73 ( 0.12 ) & 2.46 & 25.30 & 1.73 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.18 & 0.31 ( 0.01 ) & 2.71 ( 0.25 ) & 4.4 ( 0.1 ) & 0.31 & 2.71 & 4.40 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.39 & 0.4 ( 0.01 ) & 7.91 ( 0.47 ) & 0.01 ( 0.01 ) & 0.40 & 7.91 & 0.01 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.41 & 0.36 ( 0.01 ) & 7.39 ( 0.39 ) & 0 ( 0 ) & 0.36 & 7.39 & 0.00 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.45 & 0.37 ( 0.01 ) & 6.73 ( 0.39 ) & 0 ( 0 ) & 0.37 & 6.73 & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.44 & 0.37 ( 0.01 ) & 6.82 ( 0.39 ) & 0 ( 0 ) & 0.37 & 6.82 & 0.00 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.13 & 0.34 ( 0.01 ) & 3 ( 0.15 ) & 4.75 ( 0.09 ) & 0.34 & 3.00 & 4.75 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.34 & 0.44 ( 0.01 ) & 10.58 ( 0.62 ) & 0.09 ( 0.03 ) & 0.44 & 10.50 & 0.09 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.37 & 0.42 ( 0.02 ) & 9.57 ( 0.58 ) & 0 ( 0 ) & 0.42 & 9.57 & 0.00 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.37 & 0.41 ( 0.02 ) & 9.7 ( 0.63 ) & 0 ( 0 ) & 0.41 & 9.70 & 0.00 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.40 & 0.38 ( 0.01 ) & 8.72 ( 0.53 ) & 0 ( 0 ) & 0.38 & 8.72 & 0.00 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.33 & 0.32 ( 0.01 ) & 3.77 ( 0.75 ) & 3.69 ( 0.08 ) & 0.32 & 3.77 & 3.69 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.47 & 0.29 ( 0 ) & 7.7 ( 0.54 ) & 0 ( 0 ) & 0.29 & 7.70 & 0.00 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.46 & 0.3 ( 0 ) & 7.82 ( 0.64 ) & 0 ( 0 ) & 0.30 & 7.82 & 0.00 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.51 & 0.29 ( 0 ) & 6.69 ( 0.45 ) & 0 ( 0 ) & 0.29 & 6.69 & 0.00 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.50 & 0.29 ( 0 ) & 6.87 ( 0.54 ) & 0 ( 0 ) & 0.29 & 6.87 & 0.00 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.48 & 0.33 ( 0 ) & 1.83 ( 0.19 ) & 3.97 ( 0.07 ) & 0.33 & 1.83 & 3.97 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.35 & 0.29 ( 0 ) & 11.72 ( 0.9 ) & 0 ( 0 ) & 0.29 & 11.70 & 0.00 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.45 & 0.29 ( 0 ) & 8.22 ( 0.73 ) & 0 ( 0 ) & 0.29 & 8.22 & 0.00 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.47 & 0.3 ( 0 ) & 7.81 ( 0.61 ) & 0 ( 0 ) & 0.30 & 7.81 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.46 & 0.3 ( 0 ) & 7.99 ( 0.79 ) & 0 ( 0 ) & 0.30 & 7.99 & 0.00 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.44 & 0.28 ( 0 ) & 4.91 ( 0.2 ) & 1.57 ( 0.09 ) & 0.28 & 4.91 & 1.57 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.78 & 0.27 ( 0 ) & 2.45 ( 0.14 ) & 0 ( 0 ) & 0.27 & 2.45 & 0.00 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.82 & 0.27 ( 0 ) & 2.11 ( 0.13 ) & 0 ( 0 ) & 0.27 & 2.11 & 0.00 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.85 & 0.27 ( 0 ) & 1.89 ( 0.12 ) & 0 ( 0 ) & 0.27 & 1.89 & 0.00 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.87 & 0.27 ( 0 ) & 1.76 ( 0.11 ) & 0 ( 0 ) & 0.27 & 1.76 & 0.00 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.33 & 0.29 ( 0 ) & 7.77 ( 0.33 ) & 1.44 ( 0.08 ) & 0.29 & 7.77 & 1.44 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.69 & 0.27 ( 0 ) & 3.46 ( 0.29 ) & 0 ( 0 ) & 0.27 & 3.46 & 0.00 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.78 & 0.27 ( 0 ) & 2.58 ( 0.16 ) & 0 ( 0 ) & 0.27 & 2.58 & 0.00 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.76 & 0.27 ( 0 ) & 2.71 ( 0.23 ) & 0 ( 0 ) & 0.27 & 2.71 & 0.00 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.76 & 0.27 ( 0 ) & 2.72 ( 0.23 ) & 0 ( 0 ) & 0.27 & 2.72 & 0.00 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.14 & 0.29 ( 0 ) & 20.61 ( 1.39 ) & 2.11 ( 0.1 ) & 0.29 & 20.60 & 2.11 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.53 & 0.27 ( 0 ) & 6.14 ( 0.57 ) & 0 ( 0 ) & 0.27 & 6.14 & 0.00 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.65 & 0.28 ( 0 ) & 4.16 ( 0.33 ) & 0 ( 0 ) & 0.28 & 4.16 & 0.00 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.62 & 0.28 ( 0 ) & 4.65 ( 0.37 ) & 0 ( 0 ) & 0.28 & 4.65 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.71 & 0.27 ( 0 ) & 3.37 ( 0.27 ) & 0 ( 0 ) & 0.27 & 3.37 & 0.00 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.17 & 0.3 ( 0 ) & 13.42 ( 1.74 ) & 2.77 ( 0.09 ) & 0.30 & 13.40 & 2.77 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.51 & 0.27 ( 0 ) & 6.69 ( 0.52 ) & 0 ( 0 ) & 0.27 & 6.69 & 0.00 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.53 & 0.27 ( 0 ) & 6.36 ( 0.51 ) & 0 ( 0 ) & 0.27 & 6.36 & 0.00 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.65 & 0.28 ( 0 ) & 4.14 ( 0.35 ) & 0 ( 0 ) & 0.28 & 4.14 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.60 & 0.28 ( 0 ) & 4.93 ( 0.43 ) & 0 ( 0 ) & 0.28 & 4.93 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.05 | 0.36 ( 0.01 ) | 3.52 ( 0.22 ) | 4.92 ( 0.08 ) | 0.36 | 3.52 | 4.92 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.27 | 0.72 ( 0.04 ) | 8.7 ( 0.42 ) | 0.79 ( 0.09 ) | 0.72 | 8.70 | 0.79 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.33 | 0.64 ( 0.03 ) | 9.36 ( 0.45 ) | 0.12 ( 0.04 ) | 0.64 | 9.36 | 0.12 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.36 | 0.57 ( 0.04 ) | 8.63 ( 0.41 ) | 0.06 ( 0.02 ) | 0.57 | 8.63 | 0.06 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.32 | 0.61 ( 0.05 ) | 9.61 ( 0.49 ) | 0.07 ( 0.03 ) | 0.61 | 9.61 | 0.07 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.06 | 0.37 ( 0.02 ) | 4.73 ( 0.22 ) | 4.79 ( 0.08 ) | 0.37 | 4.73 | 4.79 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.21 | 0.82 ( 0.05 ) | 12.31 ( 0.43 ) | 1.14 ( 0.1 ) | 0.82 | 12.30 | 1.14 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.28 | 0.78 ( 0.05 ) | 12.05 ( 0.47 ) | 0.38 ( 0.07 ) | 0.78 | 12.00 | 0.38 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.30 | 0.82 ( 0.05 ) | 11.87 ( 0.44 ) | 0.17 ( 0.05 ) | 0.82 | 11.80 | 0.17 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.29 | 0.87 ( 0.05 ) | 12.12 ( 0.37 ) | 0.17 ( 0.05 ) | 0.87 | 12.10 | 0.17 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.01 | 0.37 ( 0.02 ) | 10.58 ( 0.31 ) | 5.25 ( 0.07 ) | 0.37 | 10.50 | 5.25 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.09 | 1.25 ( 0.07 ) | 20.71 ( 0.36 ) | 2.63 ( 0.11 ) | 1.25 | 20.70 | 2.63 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.12 | 1.64 ( 0.1 ) | 21.8 ( 0.36 ) | 1.82 ( 0.11 ) | 1.64 | 21.80 | 1.82 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.15 | 2.03 ( 0.14 ) | 21.53 ( 0.36 ) | 1.18 ( 0.11 ) | 2.03 | 21.50 | 1.18 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.14 | 2.29 ( 0.15 ) | 23.7 ( 0.43 ) | 1.18 ( 0.11 ) | 2.29 | 23.70 | 1.18 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.01 | 0.39 ( 0.02 ) | 13.99 ( 0.32 ) | 5.31 ( 0.07 ) | 0.39 | 13.90 | 5.31 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.06 | 1.51 ( 0.08 ) | 24.06 ( 0.36 ) | 3.21 ( 0.11 ) | 1.51 | 24.00 | 3.21 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.09 | 1.84 ( 0.1 ) | 24.67 ( 0.36 ) | 2.56 ( 0.11 ) | 1.84 | 24.60 | 2.56 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.10 | 2.51 ( 0.13 ) | 25.24 ( 0.32 ) | 2.11 ( 0.12 ) | 2.51 | 25.20 | 2.11 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.11 | 2.46 ( 0.16 ) | 25.37 ( 0.35 ) | 1.73 ( 0.12 ) | 2.46 | 25.30 | 1.73 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.18 | 0.31 ( 0.01 ) | 2.71 ( 0.25 ) | 4.4 ( 0.1 ) | 0.31 | 2.71 | 4.40 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.39 | 0.4 ( 0.01 ) | 7.91 ( 0.47 ) | 0.01 ( 0.01 ) | 0.40 | 7.91 | 0.01 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.41 | 0.36 ( 0.01 ) | 7.39 ( 0.39 ) | 0 ( 0 ) | 0.36 | 7.39 | 0.00 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.45 | 0.37 ( 0.01 ) | 6.73 ( 0.39 ) | 0 ( 0 ) | 0.37 | 6.73 | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.44 | 0.37 ( 0.01 ) | 6.82 ( 0.39 ) | 0 ( 0 ) | 0.37 | 6.82 | 0.00 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.13 | 0.34 ( 0.01 ) | 3 ( 0.15 ) | 4.75 ( 0.09 ) | 0.34 | 3.00 | 4.75 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.34 | 0.44 ( 0.01 ) | 10.58 ( 0.62 ) | 0.09 ( 0.03 ) | 0.44 | 10.50 | 0.09 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.37 | 0.42 ( 0.02 ) | 9.57 ( 0.58 ) | 0 ( 0 ) | 0.42 | 9.57 | 0.00 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.37 | 0.41 ( 0.02 ) | 9.7 ( 0.63 ) | 0 ( 0 ) | 0.41 | 9.70 | 0.00 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.40 | 0.38 ( 0.01 ) | 8.72 ( 0.53 ) | 0 ( 0 ) | 0.38 | 8.72 | 0.00 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.33 | 0.32 ( 0.01 ) | 3.77 ( 0.75 ) | 3.69 ( 0.08 ) | 0.32 | 3.77 | 3.69 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.47 | 0.29 ( 0 ) | 7.7 ( 0.54 ) | 0 ( 0 ) | 0.29 | 7.70 | 0.00 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.46 | 0.3 ( 0 ) | 7.82 ( 0.64 ) | 0 ( 0 ) | 0.30 | 7.82 | 0.00 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.51 | 0.29 ( 0 ) | 6.69 ( 0.45 ) | 0 ( 0 ) | 0.29 | 6.69 | 0.00 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.50 | 0.29 ( 0 ) | 6.87 ( 0.54 ) | 0 ( 0 ) | 0.29 | 6.87 | 0.00 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.48 | 0.33 ( 0 ) | 1.83 ( 0.19 ) | 3.97 ( 0.07 ) | 0.33 | 1.83 | 3.97 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.35 | 0.29 ( 0 ) | 11.72 ( 0.9 ) | 0 ( 0 ) | 0.29 | 11.70 | 0.00 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.45 | 0.29 ( 0 ) | 8.22 ( 0.73 ) | 0 ( 0 ) | 0.29 | 8.22 | 0.00 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.47 | 0.3 ( 0 ) | 7.81 ( 0.61 ) | 0 ( 0 ) | 0.30 | 7.81 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.46 | 0.3 ( 0 ) | 7.99 ( 0.79 ) | 0 ( 0 ) | 0.30 | 7.99 | 0.00 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.44 | 0.28 ( 0 ) | 4.91 ( 0.2 ) | 1.57 ( 0.09 ) | 0.28 | 4.91 | 1.57 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.78 | 0.27 ( 0 ) | 2.45 ( 0.14 ) | 0 ( 0 ) | 0.27 | 2.45 | 0.00 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.82 | 0.27 ( 0 ) | 2.11 ( 0.13 ) | 0 ( 0 ) | 0.27 | 2.11 | 0.00 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.85 | 0.27 ( 0 ) | 1.89 ( 0.12 ) | 0 ( 0 ) | 0.27 | 1.89 | 0.00 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.87 | 0.27 ( 0 ) | 1.76 ( 0.11 ) | 0 ( 0 ) | 0.27 | 1.76 | 0.00 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.33 | 0.29 ( 0 ) | 7.77 ( 0.33 ) | 1.44 ( 0.08 ) | 0.29 | 7.77 | 1.44 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.69 | 0.27 ( 0 ) | 3.46 ( 0.29 ) | 0 ( 0 ) | 0.27 | 3.46 | 0.00 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.78 | 0.27 ( 0 ) | 2.58 ( 0.16 ) | 0 ( 0 ) | 0.27 | 2.58 | 0.00 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.76 | 0.27 ( 0 ) | 2.71 ( 0.23 ) | 0 ( 0 ) | 0.27 | 2.71 | 0.00 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.76 | 0.27 ( 0 ) | 2.72 ( 0.23 ) | 0 ( 0 ) | 0.27 | 2.72 | 0.00 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.14 | 0.29 ( 0 ) | 20.61 ( 1.39 ) | 2.11 ( 0.1 ) | 0.29 | 20.60 | 2.11 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.53 | 0.27 ( 0 ) | 6.14 ( 0.57 ) | 0 ( 0 ) | 0.27 | 6.14 | 0.00 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.65 | 0.28 ( 0 ) | 4.16 ( 0.33 ) | 0 ( 0 ) | 0.28 | 4.16 | 0.00 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.62 | 0.28 ( 0 ) | 4.65 ( 0.37 ) | 0 ( 0 ) | 0.28 | 4.65 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.71 | 0.27 ( 0 ) | 3.37 ( 0.27 ) | 0 ( 0 ) | 0.27 | 3.37 | 0.00 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.17 | 0.3 ( 0 ) | 13.42 ( 1.74 ) | 2.77 ( 0.09 ) | 0.30 | 13.40 | 2.77 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.51 | 0.27 ( 0 ) | 6.69 ( 0.52 ) | 0 ( 0 ) | 0.27 | 6.69 | 0.00 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.53 | 0.27 ( 0 ) | 6.36 ( 0.51 ) | 0 ( 0 ) | 0.27 | 6.36 | 0.00 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.65 | 0.28 ( 0 ) | 4.14 ( 0.35 ) | 0 ( 0 ) | 0.28 | 4.14 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.60 | 0.28 ( 0 ) | 4.93 ( 0.43 ) | 0 ( 0 ) | 0.28 | 4.93 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.05 0.36 ( 0.01 ) 3.52 ( 0.22 ) 4.92 ( 0.08 )\n", + "17 50 50 0.3 1.0 0.27 0.72 ( 0.04 ) 8.7 ( 0.42 ) 0.79 ( 0.09 )\n", + "33 50 50 0.5 1.0 0.33 0.64 ( 0.03 ) 9.36 ( 0.45 ) 0.12 ( 0.04 )\n", + "49 50 50 0.7 1.0 0.36 0.57 ( 0.04 ) 8.63 ( 0.41 ) 0.06 ( 0.02 )\n", + "65 50 50 0.9 1.0 0.32 0.61 ( 0.05 ) 9.61 ( 0.49 ) 0.07 ( 0.03 )\n", + "5 50 100 0.1 2.0 0.06 0.37 ( 0.02 ) 4.73 ( 0.22 ) 4.79 ( 0.08 )\n", + "21 50 100 0.3 2.0 0.21 0.82 ( 0.05 ) 12.31 ( 0.43 ) 1.14 ( 0.1 ) \n", + "37 50 100 0.5 2.0 0.28 0.78 ( 0.05 ) 12.05 ( 0.47 ) 0.38 ( 0.07 )\n", + "53 50 100 0.7 2.0 0.30 0.82 ( 0.05 ) 11.87 ( 0.44 ) 0.17 ( 0.05 )\n", + "69 50 100 0.9 2.0 0.29 0.87 ( 0.05 ) 12.12 ( 0.37 ) 0.17 ( 0.05 )\n", + "9 50 500 0.1 10.0 0.01 0.37 ( 0.02 ) 10.58 ( 0.31 ) 5.25 ( 0.07 )\n", + "25 50 500 0.3 10.0 0.09 1.25 ( 0.07 ) 20.71 ( 0.36 ) 2.63 ( 0.11 )\n", + "41 50 500 0.5 10.0 0.12 1.64 ( 0.1 ) 21.8 ( 0.36 ) 1.82 ( 0.11 )\n", + "57 50 500 0.7 10.0 0.15 2.03 ( 0.14 ) 21.53 ( 0.36 ) 1.18 ( 0.11 )\n", + "73 50 500 0.9 10.0 0.14 2.29 ( 0.15 ) 23.7 ( 0.43 ) 1.18 ( 0.11 )\n", + "13 50 1000 0.1 20.0 0.01 0.39 ( 0.02 ) 13.99 ( 0.32 ) 5.31 ( 0.07 )\n", + "29 50 1000 0.3 20.0 0.06 1.51 ( 0.08 ) 24.06 ( 0.36 ) 3.21 ( 0.11 )\n", + "45 50 1000 0.5 20.0 0.09 1.84 ( 0.1 ) 24.67 ( 0.36 ) 2.56 ( 0.11 )\n", + "61 50 1000 0.7 20.0 0.10 2.51 ( 0.13 ) 25.24 ( 0.32 ) 2.11 ( 0.12 )\n", + "77 50 1000 0.9 20.0 0.11 2.46 ( 0.16 ) 25.37 ( 0.35 ) 1.73 ( 0.12 )\n", + "2 100 50 0.1 0.5 0.18 0.31 ( 0.01 ) 2.71 ( 0.25 ) 4.4 ( 0.1 ) \n", + "18 100 50 0.3 0.5 0.39 0.4 ( 0.01 ) 7.91 ( 0.47 ) 0.01 ( 0.01 )\n", + "34 100 50 0.5 0.5 0.41 0.36 ( 0.01 ) 7.39 ( 0.39 ) 0 ( 0 ) \n", + "50 100 50 0.7 0.5 0.45 0.37 ( 0.01 ) 6.73 ( 0.39 ) 0 ( 0 ) \n", + "66 100 50 0.9 0.5 0.44 0.37 ( 0.01 ) 6.82 ( 0.39 ) 0 ( 0 ) \n", + "6 100 100 0.1 1.0 0.13 0.34 ( 0.01 ) 3 ( 0.15 ) 4.75 ( 0.09 )\n", + "22 100 100 0.3 1.0 0.34 0.44 ( 0.01 ) 10.58 ( 0.62 ) 0.09 ( 0.03 )\n", + "38 100 100 0.5 1.0 0.37 0.42 ( 0.02 ) 9.57 ( 0.58 ) 0 ( 0 ) \n", + "54 100 100 0.7 1.0 0.37 0.41 ( 0.02 ) 9.7 ( 0.63 ) 0 ( 0 ) \n", + "70 100 100 0.9 1.0 0.40 0.38 ( 0.01 ) 8.72 ( 0.53 ) 0 ( 0 ) \n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.33 0.32 ( 0.01 ) 3.77 ( 0.75 ) 3.69 ( 0.08 )\n", + "27 500 500 0.3 1.00 0.47 0.29 ( 0 ) 7.7 ( 0.54 ) 0 ( 0 ) \n", + "43 500 500 0.5 1.00 0.46 0.3 ( 0 ) 7.82 ( 0.64 ) 0 ( 0 ) \n", + "59 500 500 0.7 1.00 0.51 0.29 ( 0 ) 6.69 ( 0.45 ) 0 ( 0 ) \n", + "75 500 500 0.9 1.00 0.50 0.29 ( 0 ) 6.87 ( 0.54 ) 0 ( 0 ) \n", + "15 500 1000 0.1 2.00 0.48 0.33 ( 0 ) 1.83 ( 0.19 ) 3.97 ( 0.07 )\n", + "31 500 1000 0.3 2.00 0.35 0.29 ( 0 ) 11.72 ( 0.9 ) 0 ( 0 ) \n", + "47 500 1000 0.5 2.00 0.45 0.29 ( 0 ) 8.22 ( 0.73 ) 0 ( 0 ) \n", + "63 500 1000 0.7 2.00 0.47 0.3 ( 0 ) 7.81 ( 0.61 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.00 0.46 0.3 ( 0 ) 7.99 ( 0.79 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.44 0.28 ( 0 ) 4.91 ( 0.2 ) 1.57 ( 0.09 )\n", + "20 1000 50 0.3 0.05 0.78 0.27 ( 0 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1.00 0.51 0.27 ( 0 ) 6.69 ( 0.52 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.53 0.27 ( 0 ) 6.36 ( 0.51 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.65 0.28 ( 0 ) 4.14 ( 0.35 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.60 0.28 ( 0 ) 4.93 ( 0.43 ) 0 ( 0 ) \n", + " MSE_mean FP_mean FN_mean\n", + "1 0.36 3.52 4.92 \n", + "17 0.72 8.70 0.79 \n", + "33 0.64 9.36 0.12 \n", + "49 0.57 8.63 0.06 \n", + "65 0.61 9.61 0.07 \n", + "5 0.37 4.73 4.79 \n", + "21 0.82 12.30 1.14 \n", + "37 0.78 12.00 0.38 \n", + "53 0.82 11.80 0.17 \n", + "69 0.87 12.10 0.17 \n", + "9 0.37 10.50 5.25 \n", + "25 1.25 20.70 2.63 \n", + "41 1.64 21.80 1.82 \n", + "57 2.03 21.50 1.18 \n", + "73 2.29 23.70 1.18 \n", + "13 0.39 13.90 5.31 \n", + "29 1.51 24.00 3.21 \n", + "45 1.84 24.60 2.56 \n", + "61 2.51 25.20 2.11 \n", + "77 2.46 25.30 1.73 \n", + "2 0.31 2.71 4.40 \n", + "18 0.40 7.91 0.01 \n", + "34 0.36 7.39 0.00 \n", + "50 0.37 6.73 0.00 \n", + "66 0.37 6.82 0.00 \n", + "6 0.34 3.00 4.75 \n", + "22 0.44 10.50 0.09 \n", + "38 0.42 9.57 0.00 \n", + "54 0.41 9.70 0.00 \n", + "70 0.38 8.72 0.00 \n", + "... ... ... ... \n", + "11 0.32 3.77 3.69 \n", + "27 0.29 7.70 0.00 \n", + "43 0.30 7.82 0.00 \n", + "59 0.29 6.69 0.00 \n", + "75 0.29 6.87 0.00 \n", + "15 0.33 1.83 3.97 \n", + "31 0.29 11.70 0.00 \n", + "47 0.29 8.22 0.00 \n", + "63 0.30 7.81 0.00 \n", + "79 0.30 7.99 0.00 \n", + "4 0.28 4.91 1.57 \n", + "20 0.27 2.45 0.00 \n", + "36 0.27 2.11 0.00 \n", + "52 0.27 1.89 0.00 \n", + "68 0.27 1.76 0.00 \n", + "8 0.29 7.77 1.44 \n", + "24 0.27 3.46 0.00 \n", + "40 0.27 2.58 0.00 \n", + "56 0.27 2.71 0.00 \n", + "72 0.27 2.72 0.00 \n", + "12 0.29 20.60 2.11 \n", + "28 0.27 6.14 0.00 \n", + "44 0.28 4.16 0.00 \n", + "60 0.28 4.65 0.00 \n", + "76 0.27 3.37 0.00 \n", + "16 0.30 13.40 2.77 \n", + "32 0.27 6.69 0.00 \n", + "48 0.27 6.36 0.00 \n", + "64 0.28 4.14 0.00 \n", + "80 0.28 4.93 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[with(result.table_block, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_block_rf.ipynb b/simulations/notebooks_simulations/sim_block_rf.ipynb new file mode 100644 index 0000000..e3cb7db --- /dev/null +++ b/simulations/notebooks_simulations/sim_block_rf.ipynb @@ -0,0 +1,1118 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/block_RF.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_block_rf[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_block = NULL\n", + "tmp_num_select = rep(0, length(results_block_rf))\n", + "for (i in 1:length(results_block_rf)){\n", + " results_block_rf[[i]]$OOB = paste(round(mean(results_block_rf[[i]]$OOB.list, na.rm=T),2),\n", + " '(', round(FSA::se(results_block_rf[[i]]$OOB.list, na.rm=T),2), ')')\n", + " table_block = rbind(table_block, results_block_rf[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab', 'OOB')])\n", + " tmp_num_select[i] = mean(rowSums(results_block_rf[[i]]$Stab.table))\n", + "}\n", + "table_block = as.data.frame(table_block)\n", + "table_block$num_select = tmp_num_select\n", + "table_block$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabOOBnum_selectFDR
    50 50 0.1 1 ( 0 ) 6 ( 0 ) 0.08 ( 0 ) NaN 0.59 ( 0.01 )0.00 NaN
    100 50 0.1 2.26 ( 0.17 )5.06 ( 0.12 )0.07 ( 0 ) 0.03 0.58 ( 0 ) 3.04 0.70
    500 50 0.1 2.34 ( 0.16 )3.77 ( 0.14 )0.05 ( 0 ) 0.23 0.56 ( 0 ) 4.56 0.49
    1000 50 0.1 2.37 ( 0.16 )2.54 ( 0.11 )0.05 ( 0 ) 0.51 0.55 ( 0 ) 5.83 0.38
    50 100 0.1 1 ( 0 ) 6 ( 0 ) 0.08 ( 0 ) NaN 0.6 ( 0.01 )0.00 NaN
    100 100 0.1 4.76 ( 0.27 )5.51 ( 0.09 )0.07 ( 0 ) 0.01 0.58 ( 0 ) 5.24 0.91
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & OOB & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1 ( 0 ) & 6 ( 0 ) & 0.08 ( 0 ) & NaN & 0.59 ( 0.01 ) & 0.00 & NaN \\\\\n", + "\t 100 & 50 & 0.1 & 2.26 ( 0.17 ) & 5.06 ( 0.12 ) & 0.07 ( 0 ) & 0.03 & 0.58 ( 0 ) & 3.04 & 0.70 \\\\\n", + "\t 500 & 50 & 0.1 & 2.34 ( 0.16 ) & 3.77 ( 0.14 ) & 0.05 ( 0 ) & 0.23 & 0.56 ( 0 ) & 4.56 & 0.49 \\\\\n", + "\t 1000 & 50 & 0.1 & 2.37 ( 0.16 ) & 2.54 ( 0.11 ) & 0.05 ( 0 ) & 0.51 & 0.55 ( 0 ) & 5.83 & 0.38 \\\\\n", + "\t 50 & 100 & 0.1 & 1 ( 0 ) & 6 ( 0 ) & 0.08 ( 0 ) & NaN & 0.6 ( 0.01 ) & 0.00 & NaN \\\\\n", + "\t 100 & 100 & 0.1 & 4.76 ( 0.27 ) & 5.51 ( 0.09 ) & 0.07 ( 0 ) & 0.01 & 0.58 ( 0 ) & 5.24 & 0.91 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | OOB | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1 ( 0 ) | 6 ( 0 ) | 0.08 ( 0 ) | NaN | 0.59 ( 0.01 ) | 0.00 | NaN |\n", + "| 100 | 50 | 0.1 | 2.26 ( 0.17 ) | 5.06 ( 0.12 ) | 0.07 ( 0 ) | 0.03 | 0.58 ( 0 ) | 3.04 | 0.70 |\n", + "| 500 | 50 | 0.1 | 2.34 ( 0.16 ) | 3.77 ( 0.14 ) | 0.05 ( 0 ) | 0.23 | 0.56 ( 0 ) | 4.56 | 0.49 |\n", + "| 1000 | 50 | 0.1 | 2.37 ( 0.16 ) | 2.54 ( 0.11 ) | 0.05 ( 0 ) | 0.51 | 0.55 ( 0 ) | 5.83 | 0.38 |\n", + "| 50 | 100 | 0.1 | 1 ( 0 ) | 6 ( 0 ) | 0.08 ( 0 ) | NaN | 0.6 ( 0.01 ) | 0.00 | NaN |\n", + "| 100 | 100 | 0.1 | 4.76 ( 0.27 ) | 5.51 ( 0.09 ) | 0.07 ( 0 ) | 0.01 | 0.58 ( 0 ) | 5.24 | 0.91 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab OOB \n", + "1 50 50 0.1 1 ( 0 ) 6 ( 0 ) 0.08 ( 0 ) NaN 0.59 ( 0.01 )\n", + "2 100 50 0.1 2.26 ( 0.17 ) 5.06 ( 0.12 ) 0.07 ( 0 ) 0.03 0.58 ( 0 ) \n", + "3 500 50 0.1 2.34 ( 0.16 ) 3.77 ( 0.14 ) 0.05 ( 0 ) 0.23 0.56 ( 0 ) \n", + "4 1000 50 0.1 2.37 ( 0.16 ) 2.54 ( 0.11 ) 0.05 ( 0 ) 0.51 0.55 ( 0 ) \n", + "5 50 100 0.1 1 ( 0 ) 6 ( 0 ) 0.08 ( 0 ) NaN 0.6 ( 0.01 ) \n", + "6 100 100 0.1 4.76 ( 0.27 ) 5.51 ( 0.09 ) 0.07 ( 0 ) 0.01 0.58 ( 0 ) \n", + " num_select FDR \n", + "1 0.00 NaN\n", + "2 3.04 0.70\n", + "3 4.56 0.49\n", + "4 5.83 0.38\n", + "5 0.00 NaN\n", + "6 5.24 0.91" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_block <- apply(table_block,2,as.character)\n", + "rownames(result.table_block) = rownames(table_block)\n", + "result.table_block = as.data.frame(result.table_block)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_block$n = tidyr::extract_numeric(result.table_block$n)\n", + "result.table_block$p = tidyr::extract_numeric(result.table_block$p)\n", + "result.table_block$ratio = result.table_block$p / result.table_block$n\n", + "\n", + "result.table_block = result.table_block[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'OOB', 'num_select', 'FDR')]\n", + "colnames(result.table_block)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_block$Stab = as.numeric(as.character(result.table_block$Stab))\n", + "result.table_block$MSE_mean = as.numeric(substr(result.table_block$MSE, start=1, stop=4))\n", + "result.table_block$FP_mean = as.numeric(substr(result.table_block$FP, start=1, stop=4))\n", + "result.table_block$FN_mean = as.numeric(substr(result.table_block$FN, start=1, stop=4))\n", + "result.table_block$FN_mean[is.na(result.table_block$FN_mean)] = 0\n", + "result.table_block$OOB_mean = as.numeric(substr(result.table_block$OOB, start=1, stop=4))\n", + "result.table_block$num_select = as.numeric(as.character(result.table_block$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
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    21 50 100 0.3 2 NaN 0.32 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.2 ( 0.01 ) 0.00 NaN 0.32 NA 0.00 1.20
    25 50 500 0.3 10 NaN 0.36 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.23 ( 0.01 ) 0.00 NaN 0.36 NA 0.00 1.23
    29 50 1000 0.3 20 NaN 0.34 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.26 ( 0.01 ) 0.00 NaN 0.34 NA 0.00 1.26
    33 50 50 0.5 1 NaN 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.46 ( 0.01 ) 0.00 NaN 0.60 NA 0.00 1.46
    37 50 100 0.5 2 NaN 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.56 ( 0.01 ) 0.00 NaN 0.60 NA 0.00 1.56
    41 50 500 0.5 10 NaN 0.58 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 ) 0.00 NaN 0.58 NA 0.00 1.64
    45 50 1000 0.5 20 NaN 0.57 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 ) 0.00 NaN 0.57 NA 0.00 1.64
    49 50 50 0.7 1 NaN 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.72 ( 0.02 ) 0.00 NaN 0.80 NA 0.00 1.72
    53 50 100 0.7 2 NaN 0.92 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.85 ( 0.02 ) 0.00 NaN 0.92 NA 0.00 1.85
    57 50 500 0.7 10 NaN 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 2 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 NA
    61 50 1000 0.7 20 NaN 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 1.98
    65 50 50 0.9 1 NaN 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.99 ( 0.02 ) 0.00 NaN 1.10 NA 0.00 1.99
    69 50 100 0.9 2 NaN 1.11 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.06 ( 0.02 ) 0.00 NaN 1.11 NA 0.00 2.06
    73 50 500 0.9 10 NaN 1.18 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.2 ( 0.02 ) 0.00 NaN 1.18 NA 0.00 2.20
    75500 500 0.9 1 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 )2.04 ( 0.09 ) 2 ( 0.01 ) 24.79 0.84 0.73 20.8 2.04 NA
    77 50 1000 0.9 20 NaN 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.3 ( 0.03 ) 0.00 NaN 1.22 NA 0.00 2.30
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1 & NaN & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.00 & NaN & 0.08 & NA & 0.00 & 0.59 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2 & NaN & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.6 ( 0.01 ) & 0.00 & NaN & 0.08 & NA & 0.00 & 0.60 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10 & NaN & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.00 & NaN & 0.08 & NA & 0.00 & 0.59 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20 & NaN & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.00 & NaN & 0.08 & NA & 0.00 & 0.59 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1 & NaN & 0.31 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.14 ( 0.01 ) & 0.00 & NaN & 0.31 & NA & 0.00 & 1.14 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2 & NaN & 0.32 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.2 ( 0.01 ) & 0.00 & NaN & 0.32 & NA & 0.00 & 1.20 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10 & NaN & 0.36 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.23 ( 0.01 ) & 0.00 & NaN & 0.36 & NA & 0.00 & 1.23 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20 & NaN & 0.34 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.26 ( 0.01 ) & 0.00 & NaN & 0.34 & NA & 0.00 & 1.26 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1 & NaN & 0.6 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.46 ( 0.01 ) & 0.00 & NaN & 0.60 & NA & 0.00 & 1.46 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2 & NaN & 0.6 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.56 ( 0.01 ) & 0.00 & NaN & 0.60 & NA & 0.00 & 1.56 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10 & NaN & 0.58 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0.00 & NaN & 0.58 & NA & 0.00 & 1.64 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20 & NaN & 0.57 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0.00 & NaN & 0.57 & NA & 0.00 & 1.64 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1 & NaN & 0.8 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.72 ( 0.02 ) & 0.00 & NaN & 0.80 & NA & 0.00 & 1.72 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2 & NaN & 0.92 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.85 ( 0.02 ) & 0.00 & NaN & 0.92 & NA & 0.00 & 1.85 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10 & NaN & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2 ( 0.02 ) & 0.00 & NaN & 0.91 & NA & 0.00 & NA \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20 & NaN & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0.00 & NaN & 0.91 & NA & 0.00 & 1.98 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1 & NaN & 1.1 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.99 ( 0.02 ) & 0.00 & NaN & 1.10 & NA & 0.00 & 1.99 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2 & NaN & 1.11 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.06 ( 0.02 ) & 0.00 & NaN & 1.11 & NA & 0.00 & 2.06 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10 & NaN & 1.18 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.2 ( 0.02 ) & 0.00 & NaN & 1.18 & NA & 0.00 & 2.20 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1 & 0.12 & 0.73 ( 0.01 ) & 20.83 ( 0.45 ) & 2.04 ( 0.09 ) & 2 ( 0.01 ) & 24.79 & 0.84 & 0.73 & 20.8 & 2.04 & NA \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20 & NaN & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.3 ( 0.03 ) & 0.00 & NaN & 1.22 & NA & 0.00 & 2.30 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1 | NaN | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.00 | NaN | 0.08 | NA | 0.00 | 0.59 |\n", + "| 5 | 50 | 100 | 0.1 | 2 | NaN | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.6 ( 0.01 ) | 0.00 | NaN | 0.08 | NA | 0.00 | 0.60 |\n", + "| 9 | 50 | 500 | 0.1 | 10 | NaN | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.00 | NaN | 0.08 | NA | 0.00 | 0.59 |\n", + "| 13 | 50 | 1000 | 0.1 | 20 | NaN | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.00 | NaN | 0.08 | NA | 0.00 | 0.59 |\n", + "| 17 | 50 | 50 | 0.3 | 1 | NaN | 0.31 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.14 ( 0.01 ) | 0.00 | NaN | 0.31 | NA | 0.00 | 1.14 |\n", + "| 21 | 50 | 100 | 0.3 | 2 | NaN | 0.32 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.2 ( 0.01 ) | 0.00 | NaN | 0.32 | NA | 0.00 | 1.20 |\n", + "| 25 | 50 | 500 | 0.3 | 10 | NaN | 0.36 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.23 ( 0.01 ) | 0.00 | NaN | 0.36 | NA | 0.00 | 1.23 |\n", + "| 29 | 50 | 1000 | 0.3 | 20 | NaN | 0.34 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.26 ( 0.01 ) | 0.00 | NaN | 0.34 | NA | 0.00 | 1.26 |\n", + "| 33 | 50 | 50 | 0.5 | 1 | NaN | 0.6 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.46 ( 0.01 ) | 0.00 | NaN | 0.60 | NA | 0.00 | 1.46 |\n", + "| 37 | 50 | 100 | 0.5 | 2 | NaN | 0.6 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.56 ( 0.01 ) | 0.00 | NaN | 0.60 | NA | 0.00 | 1.56 |\n", + "| 41 | 50 | 500 | 0.5 | 10 | NaN | 0.58 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0.00 | NaN | 0.58 | NA | 0.00 | 1.64 |\n", + "| 45 | 50 | 1000 | 0.5 | 20 | NaN | 0.57 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0.00 | NaN | 0.57 | NA | 0.00 | 1.64 |\n", + "| 49 | 50 | 50 | 0.7 | 1 | NaN | 0.8 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.72 ( 0.02 ) | 0.00 | NaN | 0.80 | NA | 0.00 | 1.72 |\n", + "| 53 | 50 | 100 | 0.7 | 2 | NaN | 0.92 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.85 ( 0.02 ) | 0.00 | NaN | 0.92 | NA | 0.00 | 1.85 |\n", + "| 57 | 50 | 500 | 0.7 | 10 | NaN | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2 ( 0.02 ) | 0.00 | NaN | 0.91 | NA | 0.00 | NA |\n", + "| 61 | 50 | 1000 | 0.7 | 20 | NaN | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0.00 | NaN | 0.91 | NA | 0.00 | 1.98 |\n", + "| 65 | 50 | 50 | 0.9 | 1 | NaN | 1.1 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.99 ( 0.02 ) | 0.00 | NaN | 1.10 | NA | 0.00 | 1.99 |\n", + "| 69 | 50 | 100 | 0.9 | 2 | NaN | 1.11 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.06 ( 0.02 ) | 0.00 | NaN | 1.11 | NA | 0.00 | 2.06 |\n", + "| 73 | 50 | 500 | 0.9 | 10 | NaN | 1.18 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.2 ( 0.02 ) | 0.00 | NaN | 1.18 | NA | 0.00 | 2.20 |\n", + "| 75 | 500 | 500 | 0.9 | 1 | 0.12 | 0.73 ( 0.01 ) | 20.83 ( 0.45 ) | 2.04 ( 0.09 ) | 2 ( 0.01 ) | 24.79 | 0.84 | 0.73 | 20.8 | 2.04 | NA |\n", + "| 77 | 50 | 1000 | 0.9 | 20 | NaN | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.3 ( 0.03 ) | 0.00 | NaN | 1.22 | NA | 0.00 | 2.30 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1 NaN 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "5 50 100 0.1 2 NaN 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "9 50 500 0.1 10 NaN 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "13 50 1000 0.1 20 NaN 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "17 50 50 0.3 1 NaN 0.31 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "21 50 100 0.3 2 NaN 0.32 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "25 50 500 0.3 10 NaN 0.36 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "29 50 1000 0.3 20 NaN 0.34 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "33 50 50 0.5 1 NaN 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "37 50 100 0.5 2 NaN 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "41 50 500 0.5 10 NaN 0.58 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "45 50 1000 0.5 20 NaN 0.57 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "49 50 50 0.7 1 NaN 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "53 50 100 0.7 2 NaN 0.92 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "57 50 500 0.7 10 NaN 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "61 50 1000 0.7 20 NaN 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "65 50 50 0.9 1 NaN 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "69 50 100 0.9 2 NaN 1.11 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "73 50 500 0.9 10 NaN 1.18 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "75 500 500 0.9 1 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 ) 2.04 ( 0.09 )\n", + "77 50 1000 0.9 20 NaN 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 0.59 ( 0.01 ) 0.00 NaN 0.08 NA 0.00 0.59 \n", + "5 0.6 ( 0.01 ) 0.00 NaN 0.08 NA 0.00 0.60 \n", + "9 0.59 ( 0.01 ) 0.00 NaN 0.08 NA 0.00 0.59 \n", + "13 0.59 ( 0.01 ) 0.00 NaN 0.08 NA 0.00 0.59 \n", + "17 1.14 ( 0.01 ) 0.00 NaN 0.31 NA 0.00 1.14 \n", + "21 1.2 ( 0.01 ) 0.00 NaN 0.32 NA 0.00 1.20 \n", + "25 1.23 ( 0.01 ) 0.00 NaN 0.36 NA 0.00 1.23 \n", + "29 1.26 ( 0.01 ) 0.00 NaN 0.34 NA 0.00 1.26 \n", + "33 1.46 ( 0.01 ) 0.00 NaN 0.60 NA 0.00 1.46 \n", + "37 1.56 ( 0.01 ) 0.00 NaN 0.60 NA 0.00 1.56 \n", + "41 1.64 ( 0.02 ) 0.00 NaN 0.58 NA 0.00 1.64 \n", + "45 1.64 ( 0.02 ) 0.00 NaN 0.57 NA 0.00 1.64 \n", + "49 1.72 ( 0.02 ) 0.00 NaN 0.80 NA 0.00 1.72 \n", + "53 1.85 ( 0.02 ) 0.00 NaN 0.92 NA 0.00 1.85 \n", + "57 2 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 NA \n", + "61 1.98 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 1.98 \n", + "65 1.99 ( 0.02 ) 0.00 NaN 1.10 NA 0.00 1.99 \n", + "69 2.06 ( 0.02 ) 0.00 NaN 1.11 NA 0.00 2.06 \n", + "73 2.2 ( 0.02 ) 0.00 NaN 1.18 NA 0.00 2.20 \n", + "75 2 ( 0.01 ) 24.79 0.84 0.73 20.8 2.04 NA \n", + "77 2.3 ( 0.03 ) 0.00 NaN 1.22 NA 0.00 2.30 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_block[rowSums(is.na(result.table_block)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_block$Stab[is.na(result.table_block$Stab)] = 0\n", + "result.table_block$FP_mean[is.na(result.table_block$FP_mean)] = 1\n", + "result.table_block$OOB_mean[is.na(result.table_block$OOB_mean)] = 2\n", + "result.table_block$FN_mean[result.table_block$num_select == 0] = 6" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
    150 50 0.1 1 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0 NaN 0.08 1 6 0.59
    550 100 0.1 2 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.6 ( 0.01 ) 0 NaN 0.08 1 6 0.60
    950 500 0.1 10 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0 NaN 0.08 1 6 0.59
    1350 1000 0.1 20 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0 NaN 0.08 1 6 0.59
    1750 50 0.3 1 0 0.31 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.14 ( 0.01 )0 NaN 0.31 1 6 1.14
    2150 100 0.3 2 0 0.32 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.2 ( 0.01 ) 0 NaN 0.32 1 6 1.20
    2550 500 0.3 10 0 0.36 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.23 ( 0.01 )0 NaN 0.36 1 6 1.23
    2950 1000 0.3 20 0 0.34 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.26 ( 0.01 )0 NaN 0.34 1 6 1.26
    3350 50 0.5 1 0 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.46 ( 0.01 )0 NaN 0.60 1 6 1.46
    3750 100 0.5 2 0 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.56 ( 0.01 )0 NaN 0.60 1 6 1.56
    4150 500 0.5 10 0 0.58 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )0 NaN 0.58 1 6 1.64
    4550 1000 0.5 20 0 0.57 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )0 NaN 0.57 1 6 1.64
    4950 50 0.7 1 0 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.72 ( 0.02 )0 NaN 0.80 1 6 1.72
    5350 100 0.7 2 0 0.92 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.85 ( 0.02 )0 NaN 0.92 1 6 1.85
    5750 500 0.7 10 0 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2 ( 0.02 ) 0 NaN 0.91 1 6 2.00
    6150 1000 0.7 20 0 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 )0 NaN 0.91 1 6 1.98
    6550 50 0.9 1 0 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.99 ( 0.02 )0 NaN 1.10 1 6 1.99
    6950 100 0.9 2 0 1.11 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.06 ( 0.02 )0 NaN 1.11 1 6 2.06
    7350 500 0.9 10 0 1.18 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.2 ( 0.02 ) 0 NaN 1.18 1 6 2.20
    7750 1000 0.9 20 0 1.22 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.3 ( 0.03 ) 0 NaN 1.22 1 6 2.30
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1 & 0 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0 & NaN & 0.08 & 1 & 6 & 0.59 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2 & 0 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.6 ( 0.01 ) & 0 & NaN & 0.08 & 1 & 6 & 0.60 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10 & 0 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0 & NaN & 0.08 & 1 & 6 & 0.59 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20 & 0 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0 & NaN & 0.08 & 1 & 6 & 0.59 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1 & 0 & 0.31 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.14 ( 0.01 ) & 0 & NaN & 0.31 & 1 & 6 & 1.14 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2 & 0 & 0.32 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.2 ( 0.01 ) & 0 & NaN & 0.32 & 1 & 6 & 1.20 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10 & 0 & 0.36 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.23 ( 0.01 ) & 0 & NaN & 0.36 & 1 & 6 & 1.23 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20 & 0 & 0.34 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.26 ( 0.01 ) & 0 & NaN & 0.34 & 1 & 6 & 1.26 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1 & 0 & 0.6 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.46 ( 0.01 ) & 0 & NaN & 0.60 & 1 & 6 & 1.46 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2 & 0 & 0.6 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.56 ( 0.01 ) & 0 & NaN & 0.60 & 1 & 6 & 1.56 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10 & 0 & 0.58 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0 & NaN & 0.58 & 1 & 6 & 1.64 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20 & 0 & 0.57 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0 & NaN & 0.57 & 1 & 6 & 1.64 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1 & 0 & 0.8 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.72 ( 0.02 ) & 0 & NaN & 0.80 & 1 & 6 & 1.72 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2 & 0 & 0.92 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.85 ( 0.02 ) & 0 & NaN & 0.92 & 1 & 6 & 1.85 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10 & 0 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2 ( 0.02 ) & 0 & NaN & 0.91 & 1 & 6 & 2.00 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20 & 0 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0 & NaN & 0.91 & 1 & 6 & 1.98 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1 & 0 & 1.1 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.99 ( 0.02 ) & 0 & NaN & 1.10 & 1 & 6 & 1.99 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2 & 0 & 1.11 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.06 ( 0.02 ) & 0 & NaN & 1.11 & 1 & 6 & 2.06 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10 & 0 & 1.18 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.2 ( 0.02 ) & 0 & NaN & 1.18 & 1 & 6 & 2.20 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20 & 0 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.3 ( 0.03 ) & 0 & NaN & 1.22 & 1 & 6 & 2.30 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1 | 0 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0 | NaN | 0.08 | 1 | 6 | 0.59 |\n", + "| 5 | 50 | 100 | 0.1 | 2 | 0 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.6 ( 0.01 ) | 0 | NaN | 0.08 | 1 | 6 | 0.60 |\n", + "| 9 | 50 | 500 | 0.1 | 10 | 0 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0 | NaN | 0.08 | 1 | 6 | 0.59 |\n", + "| 13 | 50 | 1000 | 0.1 | 20 | 0 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0 | NaN | 0.08 | 1 | 6 | 0.59 |\n", + "| 17 | 50 | 50 | 0.3 | 1 | 0 | 0.31 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.14 ( 0.01 ) | 0 | NaN | 0.31 | 1 | 6 | 1.14 |\n", + "| 21 | 50 | 100 | 0.3 | 2 | 0 | 0.32 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.2 ( 0.01 ) | 0 | NaN | 0.32 | 1 | 6 | 1.20 |\n", + "| 25 | 50 | 500 | 0.3 | 10 | 0 | 0.36 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.23 ( 0.01 ) | 0 | NaN | 0.36 | 1 | 6 | 1.23 |\n", + "| 29 | 50 | 1000 | 0.3 | 20 | 0 | 0.34 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.26 ( 0.01 ) | 0 | NaN | 0.34 | 1 | 6 | 1.26 |\n", + "| 33 | 50 | 50 | 0.5 | 1 | 0 | 0.6 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.46 ( 0.01 ) | 0 | NaN | 0.60 | 1 | 6 | 1.46 |\n", + "| 37 | 50 | 100 | 0.5 | 2 | 0 | 0.6 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.56 ( 0.01 ) | 0 | NaN | 0.60 | 1 | 6 | 1.56 |\n", + "| 41 | 50 | 500 | 0.5 | 10 | 0 | 0.58 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0 | NaN | 0.58 | 1 | 6 | 1.64 |\n", + "| 45 | 50 | 1000 | 0.5 | 20 | 0 | 0.57 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0 | NaN | 0.57 | 1 | 6 | 1.64 |\n", + "| 49 | 50 | 50 | 0.7 | 1 | 0 | 0.8 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.72 ( 0.02 ) | 0 | NaN | 0.80 | 1 | 6 | 1.72 |\n", + "| 53 | 50 | 100 | 0.7 | 2 | 0 | 0.92 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.85 ( 0.02 ) | 0 | NaN | 0.92 | 1 | 6 | 1.85 |\n", + "| 57 | 50 | 500 | 0.7 | 10 | 0 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2 ( 0.02 ) | 0 | NaN | 0.91 | 1 | 6 | 2.00 |\n", + "| 61 | 50 | 1000 | 0.7 | 20 | 0 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0 | NaN | 0.91 | 1 | 6 | 1.98 |\n", + "| 65 | 50 | 50 | 0.9 | 1 | 0 | 1.1 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.99 ( 0.02 ) | 0 | NaN | 1.10 | 1 | 6 | 1.99 |\n", + "| 69 | 50 | 100 | 0.9 | 2 | 0 | 1.11 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.06 ( 0.02 ) | 0 | NaN | 1.11 | 1 | 6 | 2.06 |\n", + "| 73 | 50 | 500 | 0.9 | 10 | 0 | 1.18 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.2 ( 0.02 ) | 0 | NaN | 1.18 | 1 | 6 | 2.20 |\n", + "| 77 | 50 | 1000 | 0.9 | 20 | 0 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.3 ( 0.03 ) | 0 | NaN | 1.22 | 1 | 6 | 2.30 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN OOB \n", + "1 50 50 0.1 1 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )\n", + "5 50 100 0.1 2 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.6 ( 0.01 ) \n", + "9 50 500 0.1 10 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )\n", + "13 50 1000 0.1 20 0 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )\n", + "17 50 50 0.3 1 0 0.31 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.14 ( 0.01 )\n", + "21 50 100 0.3 2 0 0.32 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.2 ( 0.01 ) \n", + "25 50 500 0.3 10 0 0.36 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.23 ( 0.01 )\n", + "29 50 1000 0.3 20 0 0.34 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.26 ( 0.01 )\n", + "33 50 50 0.5 1 0 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.46 ( 0.01 )\n", + "37 50 100 0.5 2 0 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.56 ( 0.01 )\n", + "41 50 500 0.5 10 0 0.58 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )\n", + "45 50 1000 0.5 20 0 0.57 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )\n", + "49 50 50 0.7 1 0 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.72 ( 0.02 )\n", + "53 50 100 0.7 2 0 0.92 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.85 ( 0.02 )\n", + "57 50 500 0.7 10 0 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 2 ( 0.02 ) \n", + "61 50 1000 0.7 20 0 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 )\n", + "65 50 50 0.9 1 0 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.99 ( 0.02 )\n", + "69 50 100 0.9 2 0 1.11 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.06 ( 0.02 )\n", + "73 50 500 0.9 10 0 1.18 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.2 ( 0.02 ) \n", + "77 50 1000 0.9 20 0 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.3 ( 0.03 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 0 NaN 0.08 1 6 0.59 \n", + "5 0 NaN 0.08 1 6 0.60 \n", + "9 0 NaN 0.08 1 6 0.59 \n", + "13 0 NaN 0.08 1 6 0.59 \n", + "17 0 NaN 0.31 1 6 1.14 \n", + "21 0 NaN 0.32 1 6 1.20 \n", + "25 0 NaN 0.36 1 6 1.23 \n", + "29 0 NaN 0.34 1 6 1.26 \n", + "33 0 NaN 0.60 1 6 1.46 \n", + "37 0 NaN 0.60 1 6 1.56 \n", + "41 0 NaN 0.58 1 6 1.64 \n", + "45 0 NaN 0.57 1 6 1.64 \n", + "49 0 NaN 0.80 1 6 1.72 \n", + "53 0 NaN 0.92 1 6 1.85 \n", + "57 0 NaN 0.91 1 6 2.00 \n", + "61 0 NaN 0.91 1 6 1.98 \n", + "65 0 NaN 1.10 1 6 1.99 \n", + "69 0 NaN 1.11 1 6 2.06 \n", + "73 0 NaN 1.18 1 6 2.20 \n", + "77 0 NaN 1.22 1 6 2.30 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_block[c(1,5,9,13,17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77), ]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
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    100 100 0.1 1.00 0.01 0.07 ( 0 ) 4.76 ( 0.27 )5.51 ( 0.09 )0.58 ( 0 ) 5.24 0.91 0.07 4.76 5.51 0.58
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.00 & NaN & 0.08 & 1.00 & 6.00 & 0.59 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.03 & 0.07 ( 0 ) & 2.26 ( 0.17 ) & 5.06 ( 0.12 ) & 0.58 ( 0 ) & 3.04 & 0.7 & 0.07 & 2.26 & 5.06 & 0.58 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.23 & 0.05 ( 0 ) & 2.34 ( 0.16 ) & 3.77 ( 0.14 ) & 0.56 ( 0 ) & 4.56 & 0.49 & 0.05 & 2.34 & 3.77 & 0.56 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.51 & 0.05 ( 0 ) & 2.37 ( 0.16 ) & 2.54 ( 0.11 ) & 0.55 ( 0 ) & 5.83 & 0.38 & 0.05 & 2.37 & 2.54 & 0.55 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.6 ( 0.01 ) & 0.00 & NaN & 0.08 & 1.00 & 6.00 & 0.60 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.01 & 0.07 ( 0 ) & 4.76 ( 0.27 ) & 5.51 ( 0.09 ) & 0.58 ( 0 ) & 5.24 & 0.91 & 0.07 & 4.76 & 5.51 & 0.58 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.00 | NaN | 0.08 | 1.00 | 6.00 | 0.59 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.03 | 0.07 ( 0 ) | 2.26 ( 0.17 ) | 5.06 ( 0.12 ) | 0.58 ( 0 ) | 3.04 | 0.7 | 0.07 | 2.26 | 5.06 | 0.58 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.23 | 0.05 ( 0 ) | 2.34 ( 0.16 ) | 3.77 ( 0.14 ) | 0.56 ( 0 ) | 4.56 | 0.49 | 0.05 | 2.34 | 3.77 | 0.56 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.51 | 0.05 ( 0 ) | 2.37 ( 0.16 ) | 2.54 ( 0.11 ) | 0.55 ( 0 ) | 5.83 | 0.38 | 0.05 | 2.37 | 2.54 | 0.55 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.6 ( 0.01 ) | 0.00 | NaN | 0.08 | 1.00 | 6.00 | 0.60 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.01 | 0.07 ( 0 ) | 4.76 ( 0.27 ) | 5.51 ( 0.09 ) | 0.58 ( 0 ) | 5.24 | 0.91 | 0.07 | 4.76 | 5.51 | 0.58 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN OOB \n", + "1 50 50 0.1 1.00 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )\n", + "2 100 50 0.1 0.50 0.03 0.07 ( 0 ) 2.26 ( 0.17 ) 5.06 ( 0.12 ) 0.58 ( 0 ) \n", + "3 500 50 0.1 0.10 0.23 0.05 ( 0 ) 2.34 ( 0.16 ) 3.77 ( 0.14 ) 0.56 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.51 0.05 ( 0 ) 2.37 ( 0.16 ) 2.54 ( 0.11 ) 0.55 ( 0 ) \n", + "5 50 100 0.1 2.00 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.6 ( 0.01 ) \n", + "6 100 100 0.1 1.00 0.01 0.07 ( 0 ) 4.76 ( 0.27 ) 5.51 ( 0.09 ) 0.58 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 0.00 NaN 0.08 1.00 6.00 0.59 \n", + "2 3.04 0.7 0.07 2.26 5.06 0.58 \n", + "3 4.56 0.49 0.05 2.34 3.77 0.56 \n", + "4 5.83 0.38 0.05 2.37 2.54 0.55 \n", + "5 0.00 NaN 0.08 1.00 6.00 0.60 \n", + "6 5.24 0.91 0.07 4.76 5.51 0.58 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
    75 500 500 0.9 1.0 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 )2.04 ( 0.09 ) 2 ( 0.01 ) 24.79 0.84 0.73 20.8 2.04 2.00
    761000 500 0.9 0.5 0.18 0.68 ( 0.01 ) 18.47 ( 0.43 )1 ( 0.07 ) 1.92 ( 0 ) 23.47 0.78 0.68 18.4 0.00 1.92
    77 50 1000 0.9 20.0 0.00 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.3 ( 0.03 ) 0.00 NaN 1.22 1.0 6.00 2.30
    78 100 1000 0.9 10.0 0.01 0.93 ( 0.02 ) 49.18 ( 0.69 )4.67 ( 0.09 ) 2.22 ( 0.02 ) 50.51 0.97 0.93 49.1 4.67 2.22
    79 500 1000 0.9 2.0 0.06 0.78 ( 0.01 ) 46.01 ( 0.7 ) 2.14 ( 0.09 ) 2.12 ( 0.01 ) 49.87 0.92 0.78 46.0 2.14 2.12
    801000 1000 0.9 1.0 0.08 0.74 ( 0.01 ) 43.05 ( 0.72 )1.17 ( 0.08 ) 2.07 ( 0 ) 47.88 0.9 0.74 43.0 1.17 2.07
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.12 & 0.73 ( 0.01 ) & 20.83 ( 0.45 ) & 2.04 ( 0.09 ) & 2 ( 0.01 ) & 24.79 & 0.84 & 0.73 & 20.8 & 2.04 & 2.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.18 & 0.68 ( 0.01 ) & 18.47 ( 0.43 ) & 1 ( 0.07 ) & 1.92 ( 0 ) & 23.47 & 0.78 & 0.68 & 18.4 & 0.00 & 1.92 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.00 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.3 ( 0.03 ) & 0.00 & NaN & 1.22 & 1.0 & 6.00 & 2.30 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.01 & 0.93 ( 0.02 ) & 49.18 ( 0.69 ) & 4.67 ( 0.09 ) & 2.22 ( 0.02 ) & 50.51 & 0.97 & 0.93 & 49.1 & 4.67 & 2.22 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.06 & 0.78 ( 0.01 ) & 46.01 ( 0.7 ) & 2.14 ( 0.09 ) & 2.12 ( 0.01 ) & 49.87 & 0.92 & 0.78 & 46.0 & 2.14 & 2.12 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.08 & 0.74 ( 0.01 ) & 43.05 ( 0.72 ) & 1.17 ( 0.08 ) & 2.07 ( 0 ) & 47.88 & 0.9 & 0.74 & 43.0 & 1.17 & 2.07 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.12 | 0.73 ( 0.01 ) | 20.83 ( 0.45 ) | 2.04 ( 0.09 ) | 2 ( 0.01 ) | 24.79 | 0.84 | 0.73 | 20.8 | 2.04 | 2.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.18 | 0.68 ( 0.01 ) | 18.47 ( 0.43 ) | 1 ( 0.07 ) | 1.92 ( 0 ) | 23.47 | 0.78 | 0.68 | 18.4 | 0.00 | 1.92 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.00 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.3 ( 0.03 ) | 0.00 | NaN | 1.22 | 1.0 | 6.00 | 2.30 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.01 | 0.93 ( 0.02 ) | 49.18 ( 0.69 ) | 4.67 ( 0.09 ) | 2.22 ( 0.02 ) | 50.51 | 0.97 | 0.93 | 49.1 | 4.67 | 2.22 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.06 | 0.78 ( 0.01 ) | 46.01 ( 0.7 ) | 2.14 ( 0.09 ) | 2.12 ( 0.01 ) | 49.87 | 0.92 | 0.78 | 46.0 | 2.14 | 2.12 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.08 | 0.74 ( 0.01 ) | 43.05 ( 0.72 ) | 1.17 ( 0.08 ) | 2.07 ( 0 ) | 47.88 | 0.9 | 0.74 | 43.0 | 1.17 | 2.07 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 ) 2.04 ( 0.09 )\n", + "76 1000 500 0.9 0.5 0.18 0.68 ( 0.01 ) 18.47 ( 0.43 ) 1 ( 0.07 ) \n", + "77 50 1000 0.9 20.0 0.00 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "78 100 1000 0.9 10.0 0.01 0.93 ( 0.02 ) 49.18 ( 0.69 ) 4.67 ( 0.09 )\n", + "79 500 1000 0.9 2.0 0.06 0.78 ( 0.01 ) 46.01 ( 0.7 ) 2.14 ( 0.09 )\n", + "80 1000 1000 0.9 1.0 0.08 0.74 ( 0.01 ) 43.05 ( 0.72 ) 1.17 ( 0.08 )\n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "75 2 ( 0.01 ) 24.79 0.84 0.73 20.8 2.04 2.00 \n", + "76 1.92 ( 0 ) 23.47 0.78 0.68 18.4 0.00 1.92 \n", + "77 2.3 ( 0.03 ) 0.00 NaN 1.22 1.0 6.00 2.30 \n", + "78 2.22 ( 0.02 ) 50.51 0.97 0.93 49.1 4.67 2.22 \n", + "79 2.12 ( 0.01 ) 49.87 0.92 0.78 46.0 2.14 2.12 \n", + "80 2.07 ( 0 ) 47.88 0.9 0.74 43.0 1.17 2.07 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_block)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_block, '../results_summary/sim_block_rf.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_block_rf.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_block$N = as.factor(result.table_block$N)\n", + "fig_block_stab = ggplot(result.table_block, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_block_mse = ggplot(result.table_block, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_block_fp = ggplot(result.table_block, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_block_fn = ggplot(result.table_block, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_block_stab, fig_block_mse, fig_block_fp, fig_block_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Block_RandomForests\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_block_rf.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_block_rf_OOB_MSE.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_block$N = as.factor(result.table_block$N)\n", + "fig_block_oob = ggplot(result.table_block, aes(x=P, y=OOB_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4))\n", + "\n", + "fig_block_mse = ggplot(result.table_block, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4))\n", + "fig_oob_mse = ggarrange(fig_block_oob, fig_block_mse, ncol=2, nrow=1, common.legend = TRUE, legend=\"right\") \n", + "fig_oob_mse = annotate_figure(fig_oob_mse, top = text_grob(\"Block_RandomForests_OOB_MSE\"))\n", + "ggexport(fig_oob_mse, filename = \"../figures_sim/figure_block_rf_OOB_MSE.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", 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    NPCorrRatioStabMSEFPFNOOBMSE_meanFP_meanFN_meanOOB_mean
    150 50 0.1 1.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0.08 1.00 0.00 0.59
    1750 50 0.3 1.0 0.00 0.31 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.14 ( 0.01 )0.31 1.00 0.00 1.14
    3350 50 0.5 1.0 0.00 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.46 ( 0.01 )0.60 1.00 0.00 1.46
    4950 50 0.7 1.0 0.00 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.72 ( 0.02 )0.80 1.00 0.00 1.72
    6550 50 0.9 1.0 0.00 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 1.99 ( 0.02 )1.10 1.00 0.00 1.99
    550 100 0.1 2.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.6 ( 0.01 ) 0.08 1.00 0.00 0.60
    2150 100 0.3 2.0 0.00 0.32 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.2 ( 0.01 ) 0.32 1.00 0.00 1.20
    3750 100 0.5 2.0 0.00 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) 1.56 ( 0.01 )0.60 1.00 0.00 1.56
    5350 100 0.7 2.0 0.00 0.92 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.85 ( 0.02 )0.92 1.00 0.00 1.85
    6950 100 0.9 2.0 0.00 1.11 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.06 ( 0.02 )1.11 1.00 0.00 2.06
    950 500 0.1 10.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0.08 1.00 0.00 0.59
    2550 500 0.3 10.0 0.00 0.36 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.23 ( 0.01 )0.36 1.00 0.00 1.23
    4150 500 0.5 10.0 0.00 0.58 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )0.58 1.00 0.00 1.64
    5750 500 0.7 10.0 0.00 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2 ( 0.02 ) 0.91 1.00 0.00 2.00
    7350 500 0.9 10.0 0.00 1.18 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.2 ( 0.02 ) 1.18 1.00 0.00 2.20
    1350 1000 0.1 20.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) 0.59 ( 0.01 )0.08 1.00 0.00 0.59
    2950 1000 0.3 20.0 0.00 0.34 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.26 ( 0.01 )0.34 1.00 0.00 1.26
    4550 1000 0.5 20.0 0.00 0.57 ( 0.02 )1 ( 0 ) 6 ( 0 ) 1.64 ( 0.02 )0.57 1.00 0.00 1.64
    6150 1000 0.7 20.0 0.00 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 )0.91 1.00 0.00 1.98
    7750 1000 0.9 20.0 0.00 1.22 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.3 ( 0.03 ) 1.22 1.00 0.00 2.30
    2100 50 0.1 0.5 0.03 0.07 ( 0 ) 2.26 ( 0.17 )5.06 ( 0.12 )0.58 ( 0 ) 0.07 2.26 5.06 0.58
    18100 50 0.3 0.5 0.05 0.25 ( 0.01 )1.97 ( 0.13 )4.84 ( 0.08 )1.05 ( 0.01 )0.25 1.97 4.84 1.05
    34100 50 0.5 0.5 0.09 0.42 ( 0.01 )1.75 ( 0.14 )4.6 ( 0.09 ) 1.33 ( 0.01 )0.42 1.75 4.60 1.33
    50100 50 0.7 0.5 0.11 0.59 ( 0.02 )1.85 ( 0.14 )4.52 ( 0.08 )1.57 ( 0.01 )0.59 1.85 4.52 1.57
    66100 50 0.9 0.5 0.16 0.78 ( 0.02 )1.56 ( 0.11 )4.38 ( 0.09 )1.78 ( 0.01 )0.78 1.56 4.38 1.78
    6100 100 0.1 1.0 0.01 0.07 ( 0 ) 4.76 ( 0.27 )5.51 ( 0.09 )0.58 ( 0 ) 0.07 4.76 5.51 0.58
    22100 100 0.3 1.0 0.05 0.25 ( 0.01 )4.14 ( 0.18 )4.63 ( 0.1 ) 1.14 ( 0.01 )0.25 4.14 4.63 1.14
    38100 100 0.5 1.0 0.06 0.47 ( 0.02 )4.15 ( 0.17 )4.61 ( 0.09 )1.45 ( 0.01 )0.47 4.15 4.61 1.45
    54100 100 0.7 1.0 0.05 0.63 ( 0.02 )4.69 ( 0.18 )4.65 ( 0.09 )1.7 ( 0.01 ) 0.63 4.69 4.65 1.70
    70100 100 0.9 1.0 0.09 0.84 ( 0.02 )3.94 ( 0.18 )4.32 ( 0.09 )1.95 ( 0.01 )0.84 3.94 4.32 1.95
    ..........................................
    11500 500 0.1 1.00 0.07 0.06 ( 0 ) 23.98 ( 0.51 )3.3 ( 0.16 ) 0.58 ( 0 ) 0.06 23.90 3.30 0.58
    27500 500 0.3 1.00 0.09 0.23 ( 0 ) 22.67 ( 0.44 )2.42 ( 0.09 ) 1.14 ( 0 ) 0.23 22.60 2.42 1.14
    43500 500 0.5 1.00 0.11 0.41 ( 0 ) 21.23 ( 0.42 )2.01 ( 0.1 ) 1.49 ( 0 ) 0.41 21.20 2.01 1.49
    59500 500 0.7 1.00 0.12 0.57 ( 0.01 ) 20.96 ( 0.41 )1.86 ( 0.09 ) 1.77 ( 0.01 ) 0.57 20.90 1.86 1.77
    75500 500 0.9 1.00 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 )2.04 ( 0.09 ) 2 ( 0.01 ) 0.73 20.80 2.04 2.00
    15500 1000 0.1 2.00 0.02 0.06 ( 0 ) 48.48 ( 0.7 ) 3.65 ( 0.16 ) 0.58 ( 0 ) 0.06 48.40 3.65 0.58
    31500 1000 0.3 2.00 0.04 0.23 ( 0 ) 46.28 ( 0.69 )2.72 ( 0.1 ) 1.19 ( 0 ) 0.23 46.20 2.72 1.19
    47500 1000 0.5 2.00 0.05 0.42 ( 0 ) 45.98 ( 0.68 )2.22 ( 0.09 ) 1.57 ( 0 ) 0.42 45.90 2.22 1.57
    63500 1000 0.7 2.00 0.05 0.6 ( 0.01 ) 47.23 ( 0.73 )2.18 ( 0.1 ) 1.88 ( 0.01 ) 0.60 47.20 2.18 1.88
    79500 1000 0.9 2.00 0.06 0.78 ( 0.01 ) 46.01 ( 0.7 ) 2.14 ( 0.09 ) 2.12 ( 0.01 ) 0.78 46.00 2.14 2.12
    41000 50 0.1 0.05 0.51 0.05 ( 0 ) 2.37 ( 0.16 ) 2.54 ( 0.11 ) 0.55 ( 0 ) 0.05 2.37 2.54 0.55
    201000 50 0.3 0.05 0.84 0.13 ( 0 ) 0.3 ( 0.05 ) 0.69 ( 0.07 ) 0.77 ( 0 ) 0.13 0.30 0.69 0.77
    361000 50 0.5 0.05 0.85 0.2 ( 0 ) 0.24 ( 0.05 ) 0.73 ( 0.07 ) 0.93 ( 0 ) 0.20 0.24 0.73 0.93
    521000 50 0.7 0.05 0.87 0.27 ( 0 ) 0.18 ( 0.05 ) 0.72 ( 0.07 ) 1.06 ( 0 ) 0.27 0.18 0.72 1.06
    681000 50 0.9 0.05 0.86 0.34 ( 0 ) 0.14 ( 0.04 ) 0.86 ( 0.08 ) 1.17 ( 0 ) 0.34 0.14 0.86 1.17
    81000 100 0.1 0.10 0.52 0.05 ( 0 ) 4.65 ( 0.2 ) 1.99 ( 0.13 ) 0.56 ( 0 ) 0.05 4.65 1.99 0.56
    241000 100 0.3 0.10 0.66 0.16 ( 0 ) 1.78 ( 0.13 ) 0.64 ( 0.07 ) 0.86 ( 0 ) 0.16 1.78 0.64 0.86
    401000 100 0.5 0.10 0.73 0.26 ( 0 ) 1.21 ( 0.1 ) 0.6 ( 0.07 ) 1.06 ( 0 ) 0.26 1.21 0.60 1.06
    561000 100 0.7 0.10 0.71 0.35 ( 0 ) 1.47 ( 0.13 ) 0.63 ( 0.06 ) 1.22 ( 0 ) 0.35 1.47 0.63 1.22
    721000 100 0.9 0.10 0.76 0.44 ( 0 ) 1.05 ( 0.11 ) 0.55 ( 0.06 ) 1.36 ( 0 ) 0.44 1.05 0.55 1.36
    121000 500 0.1 0.50 0.17 0.05 ( 0 ) 23.6 ( 0.51 ) 1.93 ( 0.15 ) 0.57 ( 0 ) 0.05 23.60 1.93 0.57
    281000 500 0.3 0.50 0.16 0.22 ( 0 ) 19.38 ( 0.47 )1.14 ( 0.07 ) 1.11 ( 0 ) 0.22 19.30 1.14 1.11
    441000 500 0.5 0.50 0.17 0.37 ( 0 ) 18.91 ( 0.41 )0.96 ( 0.07 ) 1.44 ( 0 ) 0.37 18.90 0.96 1.44
    601000 500 0.7 0.50 0.17 0.52 ( 0 ) 18.88 ( 0.46 )1.01 ( 0.08 ) 1.7 ( 0 ) 0.52 18.80 1.01 1.70
    761000 500 0.9 0.50 0.18 0.68 ( 0.01 ) 18.47 ( 0.43 )1 ( 0.07 ) 1.92 ( 0 ) 0.68 18.40 0.00 1.92
    161000 1000 0.1 1.00 0.07 0.05 ( 0 ) 47.72 ( 0.68 )2.25 ( 0.14 ) 0.58 ( 0 ) 0.05 47.70 2.25 0.58
    321000 1000 0.3 1.00 0.07 0.23 ( 0 ) 44.67 ( 0.68 )1.33 ( 0.08 ) 1.17 ( 0 ) 0.23 44.60 1.33 1.17
    481000 1000 0.5 1.00 0.08 0.4 ( 0 ) 44.42 ( 0.63 )1.13 ( 0.07 ) 1.53 ( 0 ) 0.40 44.40 1.13 1.53
    641000 1000 0.7 1.00 0.08 0.57 ( 0 ) 43.91 ( 0.67 )1.1 ( 0.08 ) 1.82 ( 0 ) 0.57 43.90 1.10 1.82
    801000 1000 0.9 1.00 0.08 0.74 ( 0.01 ) 43.05 ( 0.72 )1.17 ( 0.08 ) 2.07 ( 0 ) 0.74 43.00 1.17 2.07
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.08 & 1.00 & 0.00 & 0.59 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.00 & 0.31 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.14 ( 0.01 ) & 0.31 & 1.00 & 0.00 & 1.14 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.00 & 0.6 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.46 ( 0.01 ) & 0.60 & 1.00 & 0.00 & 1.46 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.00 & 0.8 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.72 ( 0.02 ) & 0.80 & 1.00 & 0.00 & 1.72 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.00 & 1.1 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.99 ( 0.02 ) & 1.10 & 1.00 & 0.00 & 1.99 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.6 ( 0.01 ) & 0.08 & 1.00 & 0.00 & 0.60 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.00 & 0.32 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.2 ( 0.01 ) & 0.32 & 1.00 & 0.00 & 1.20 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.00 & 0.6 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.56 ( 0.01 ) & 0.60 & 1.00 & 0.00 & 1.56 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.00 & 0.92 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.85 ( 0.02 ) & 0.92 & 1.00 & 0.00 & 1.85 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.00 & 1.11 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.06 ( 0.02 ) & 1.11 & 1.00 & 0.00 & 2.06 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.08 & 1.00 & 0.00 & 0.59 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.00 & 0.36 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.23 ( 0.01 ) & 0.36 & 1.00 & 0.00 & 1.23 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.00 & 0.58 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0.58 & 1.00 & 0.00 & 1.64 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.00 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2 ( 0.02 ) & 0.91 & 1.00 & 0.00 & 2.00 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.00 & 1.18 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.2 ( 0.02 ) & 1.18 & 1.00 & 0.00 & 2.20 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.00 & 0.08 ( 0 ) & 1 ( 0 ) & 6 ( 0 ) & 0.59 ( 0.01 ) & 0.08 & 1.00 & 0.00 & 0.59 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.00 & 0.34 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.26 ( 0.01 ) & 0.34 & 1.00 & 0.00 & 1.26 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.00 & 0.57 ( 0.02 ) & 1 ( 0 ) & 6 ( 0 ) & 1.64 ( 0.02 ) & 0.57 & 1.00 & 0.00 & 1.64 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.00 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0.91 & 1.00 & 0.00 & 1.98 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.00 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.3 ( 0.03 ) & 1.22 & 1.00 & 0.00 & 2.30 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.03 & 0.07 ( 0 ) & 2.26 ( 0.17 ) & 5.06 ( 0.12 ) & 0.58 ( 0 ) & 0.07 & 2.26 & 5.06 & 0.58 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.05 & 0.25 ( 0.01 ) & 1.97 ( 0.13 ) & 4.84 ( 0.08 ) & 1.05 ( 0.01 ) & 0.25 & 1.97 & 4.84 & 1.05 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.09 & 0.42 ( 0.01 ) & 1.75 ( 0.14 ) & 4.6 ( 0.09 ) & 1.33 ( 0.01 ) & 0.42 & 1.75 & 4.60 & 1.33 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.11 & 0.59 ( 0.02 ) & 1.85 ( 0.14 ) & 4.52 ( 0.08 ) & 1.57 ( 0.01 ) & 0.59 & 1.85 & 4.52 & 1.57 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.16 & 0.78 ( 0.02 ) & 1.56 ( 0.11 ) & 4.38 ( 0.09 ) & 1.78 ( 0.01 ) & 0.78 & 1.56 & 4.38 & 1.78 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.01 & 0.07 ( 0 ) & 4.76 ( 0.27 ) & 5.51 ( 0.09 ) & 0.58 ( 0 ) & 0.07 & 4.76 & 5.51 & 0.58 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.05 & 0.25 ( 0.01 ) & 4.14 ( 0.18 ) & 4.63 ( 0.1 ) & 1.14 ( 0.01 ) & 0.25 & 4.14 & 4.63 & 1.14 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.06 & 0.47 ( 0.02 ) & 4.15 ( 0.17 ) & 4.61 ( 0.09 ) & 1.45 ( 0.01 ) & 0.47 & 4.15 & 4.61 & 1.45 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.05 & 0.63 ( 0.02 ) & 4.69 ( 0.18 ) & 4.65 ( 0.09 ) & 1.7 ( 0.01 ) & 0.63 & 4.69 & 4.65 & 1.70 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.09 & 0.84 ( 0.02 ) & 3.94 ( 0.18 ) & 4.32 ( 0.09 ) & 1.95 ( 0.01 ) & 0.84 & 3.94 & 4.32 & 1.95 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.07 & 0.06 ( 0 ) & 23.98 ( 0.51 ) & 3.3 ( 0.16 ) & 0.58 ( 0 ) & 0.06 & 23.90 & 3.30 & 0.58 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.09 & 0.23 ( 0 ) & 22.67 ( 0.44 ) & 2.42 ( 0.09 ) & 1.14 ( 0 ) & 0.23 & 22.60 & 2.42 & 1.14 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.11 & 0.41 ( 0 ) & 21.23 ( 0.42 ) & 2.01 ( 0.1 ) & 1.49 ( 0 ) & 0.41 & 21.20 & 2.01 & 1.49 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.12 & 0.57 ( 0.01 ) & 20.96 ( 0.41 ) & 1.86 ( 0.09 ) & 1.77 ( 0.01 ) & 0.57 & 20.90 & 1.86 & 1.77 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.12 & 0.73 ( 0.01 ) & 20.83 ( 0.45 ) & 2.04 ( 0.09 ) & 2 ( 0.01 ) & 0.73 & 20.80 & 2.04 & 2.00 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.02 & 0.06 ( 0 ) & 48.48 ( 0.7 ) & 3.65 ( 0.16 ) & 0.58 ( 0 ) & 0.06 & 48.40 & 3.65 & 0.58 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.04 & 0.23 ( 0 ) & 46.28 ( 0.69 ) & 2.72 ( 0.1 ) & 1.19 ( 0 ) & 0.23 & 46.20 & 2.72 & 1.19 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.05 & 0.42 ( 0 ) & 45.98 ( 0.68 ) & 2.22 ( 0.09 ) & 1.57 ( 0 ) & 0.42 & 45.90 & 2.22 & 1.57 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.05 & 0.6 ( 0.01 ) & 47.23 ( 0.73 ) & 2.18 ( 0.1 ) & 1.88 ( 0.01 ) & 0.60 & 47.20 & 2.18 & 1.88 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.06 & 0.78 ( 0.01 ) & 46.01 ( 0.7 ) & 2.14 ( 0.09 ) & 2.12 ( 0.01 ) & 0.78 & 46.00 & 2.14 & 2.12 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.51 & 0.05 ( 0 ) & 2.37 ( 0.16 ) & 2.54 ( 0.11 ) & 0.55 ( 0 ) & 0.05 & 2.37 & 2.54 & 0.55 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.84 & 0.13 ( 0 ) & 0.3 ( 0.05 ) & 0.69 ( 0.07 ) & 0.77 ( 0 ) & 0.13 & 0.30 & 0.69 & 0.77 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.85 & 0.2 ( 0 ) & 0.24 ( 0.05 ) & 0.73 ( 0.07 ) & 0.93 ( 0 ) & 0.20 & 0.24 & 0.73 & 0.93 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.87 & 0.27 ( 0 ) & 0.18 ( 0.05 ) & 0.72 ( 0.07 ) & 1.06 ( 0 ) & 0.27 & 0.18 & 0.72 & 1.06 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.86 & 0.34 ( 0 ) & 0.14 ( 0.04 ) & 0.86 ( 0.08 ) & 1.17 ( 0 ) & 0.34 & 0.14 & 0.86 & 1.17 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.52 & 0.05 ( 0 ) & 4.65 ( 0.2 ) & 1.99 ( 0.13 ) & 0.56 ( 0 ) & 0.05 & 4.65 & 1.99 & 0.56 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.66 & 0.16 ( 0 ) & 1.78 ( 0.13 ) & 0.64 ( 0.07 ) & 0.86 ( 0 ) & 0.16 & 1.78 & 0.64 & 0.86 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.73 & 0.26 ( 0 ) & 1.21 ( 0.1 ) & 0.6 ( 0.07 ) & 1.06 ( 0 ) & 0.26 & 1.21 & 0.60 & 1.06 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.71 & 0.35 ( 0 ) & 1.47 ( 0.13 ) & 0.63 ( 0.06 ) & 1.22 ( 0 ) & 0.35 & 1.47 & 0.63 & 1.22 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.76 & 0.44 ( 0 ) & 1.05 ( 0.11 ) & 0.55 ( 0.06 ) & 1.36 ( 0 ) & 0.44 & 1.05 & 0.55 & 1.36 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.17 & 0.05 ( 0 ) & 23.6 ( 0.51 ) & 1.93 ( 0.15 ) & 0.57 ( 0 ) & 0.05 & 23.60 & 1.93 & 0.57 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.16 & 0.22 ( 0 ) & 19.38 ( 0.47 ) & 1.14 ( 0.07 ) & 1.11 ( 0 ) & 0.22 & 19.30 & 1.14 & 1.11 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.17 & 0.37 ( 0 ) & 18.91 ( 0.41 ) & 0.96 ( 0.07 ) & 1.44 ( 0 ) & 0.37 & 18.90 & 0.96 & 1.44 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.17 & 0.52 ( 0 ) & 18.88 ( 0.46 ) & 1.01 ( 0.08 ) & 1.7 ( 0 ) & 0.52 & 18.80 & 1.01 & 1.70 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.18 & 0.68 ( 0.01 ) & 18.47 ( 0.43 ) & 1 ( 0.07 ) & 1.92 ( 0 ) & 0.68 & 18.40 & 0.00 & 1.92 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.07 & 0.05 ( 0 ) & 47.72 ( 0.68 ) & 2.25 ( 0.14 ) & 0.58 ( 0 ) & 0.05 & 47.70 & 2.25 & 0.58 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.07 & 0.23 ( 0 ) & 44.67 ( 0.68 ) & 1.33 ( 0.08 ) & 1.17 ( 0 ) & 0.23 & 44.60 & 1.33 & 1.17 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.08 & 0.4 ( 0 ) & 44.42 ( 0.63 ) & 1.13 ( 0.07 ) & 1.53 ( 0 ) & 0.40 & 44.40 & 1.13 & 1.53 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.08 & 0.57 ( 0 ) & 43.91 ( 0.67 ) & 1.1 ( 0.08 ) & 1.82 ( 0 ) & 0.57 & 43.90 & 1.10 & 1.82 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.08 & 0.74 ( 0.01 ) & 43.05 ( 0.72 ) & 1.17 ( 0.08 ) & 2.07 ( 0 ) & 0.74 & 43.00 & 1.17 & 2.07 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.08 | 1.00 | 0.00 | 0.59 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.00 | 0.31 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.14 ( 0.01 ) | 0.31 | 1.00 | 0.00 | 1.14 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.00 | 0.6 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.46 ( 0.01 ) | 0.60 | 1.00 | 0.00 | 1.46 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.00 | 0.8 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.72 ( 0.02 ) | 0.80 | 1.00 | 0.00 | 1.72 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.00 | 1.1 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.99 ( 0.02 ) | 1.10 | 1.00 | 0.00 | 1.99 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.6 ( 0.01 ) | 0.08 | 1.00 | 0.00 | 0.60 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.00 | 0.32 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.2 ( 0.01 ) | 0.32 | 1.00 | 0.00 | 1.20 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.00 | 0.6 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.56 ( 0.01 ) | 0.60 | 1.00 | 0.00 | 1.56 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.00 | 0.92 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.85 ( 0.02 ) | 0.92 | 1.00 | 0.00 | 1.85 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.00 | 1.11 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.06 ( 0.02 ) | 1.11 | 1.00 | 0.00 | 2.06 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.08 | 1.00 | 0.00 | 0.59 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.00 | 0.36 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.23 ( 0.01 ) | 0.36 | 1.00 | 0.00 | 1.23 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.00 | 0.58 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0.58 | 1.00 | 0.00 | 1.64 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.00 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2 ( 0.02 ) | 0.91 | 1.00 | 0.00 | 2.00 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.00 | 1.18 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.2 ( 0.02 ) | 1.18 | 1.00 | 0.00 | 2.20 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.00 | 0.08 ( 0 ) | 1 ( 0 ) | 6 ( 0 ) | 0.59 ( 0.01 ) | 0.08 | 1.00 | 0.00 | 0.59 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.00 | 0.34 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.26 ( 0.01 ) | 0.34 | 1.00 | 0.00 | 1.26 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.00 | 0.57 ( 0.02 ) | 1 ( 0 ) | 6 ( 0 ) | 1.64 ( 0.02 ) | 0.57 | 1.00 | 0.00 | 1.64 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.00 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0.91 | 1.00 | 0.00 | 1.98 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.00 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.3 ( 0.03 ) | 1.22 | 1.00 | 0.00 | 2.30 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.03 | 0.07 ( 0 ) | 2.26 ( 0.17 ) | 5.06 ( 0.12 ) | 0.58 ( 0 ) | 0.07 | 2.26 | 5.06 | 0.58 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.05 | 0.25 ( 0.01 ) | 1.97 ( 0.13 ) | 4.84 ( 0.08 ) | 1.05 ( 0.01 ) | 0.25 | 1.97 | 4.84 | 1.05 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.09 | 0.42 ( 0.01 ) | 1.75 ( 0.14 ) | 4.6 ( 0.09 ) | 1.33 ( 0.01 ) | 0.42 | 1.75 | 4.60 | 1.33 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.11 | 0.59 ( 0.02 ) | 1.85 ( 0.14 ) | 4.52 ( 0.08 ) | 1.57 ( 0.01 ) | 0.59 | 1.85 | 4.52 | 1.57 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.16 | 0.78 ( 0.02 ) | 1.56 ( 0.11 ) | 4.38 ( 0.09 ) | 1.78 ( 0.01 ) | 0.78 | 1.56 | 4.38 | 1.78 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.01 | 0.07 ( 0 ) | 4.76 ( 0.27 ) | 5.51 ( 0.09 ) | 0.58 ( 0 ) | 0.07 | 4.76 | 5.51 | 0.58 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.05 | 0.25 ( 0.01 ) | 4.14 ( 0.18 ) | 4.63 ( 0.1 ) | 1.14 ( 0.01 ) | 0.25 | 4.14 | 4.63 | 1.14 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.06 | 0.47 ( 0.02 ) | 4.15 ( 0.17 ) | 4.61 ( 0.09 ) | 1.45 ( 0.01 ) | 0.47 | 4.15 | 4.61 | 1.45 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.05 | 0.63 ( 0.02 ) | 4.69 ( 0.18 ) | 4.65 ( 0.09 ) | 1.7 ( 0.01 ) | 0.63 | 4.69 | 4.65 | 1.70 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.09 | 0.84 ( 0.02 ) | 3.94 ( 0.18 ) | 4.32 ( 0.09 ) | 1.95 ( 0.01 ) | 0.84 | 3.94 | 4.32 | 1.95 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.07 | 0.06 ( 0 ) | 23.98 ( 0.51 ) | 3.3 ( 0.16 ) | 0.58 ( 0 ) | 0.06 | 23.90 | 3.30 | 0.58 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.09 | 0.23 ( 0 ) | 22.67 ( 0.44 ) | 2.42 ( 0.09 ) | 1.14 ( 0 ) | 0.23 | 22.60 | 2.42 | 1.14 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.11 | 0.41 ( 0 ) | 21.23 ( 0.42 ) | 2.01 ( 0.1 ) | 1.49 ( 0 ) | 0.41 | 21.20 | 2.01 | 1.49 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.12 | 0.57 ( 0.01 ) | 20.96 ( 0.41 ) | 1.86 ( 0.09 ) | 1.77 ( 0.01 ) | 0.57 | 20.90 | 1.86 | 1.77 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.12 | 0.73 ( 0.01 ) | 20.83 ( 0.45 ) | 2.04 ( 0.09 ) | 2 ( 0.01 ) | 0.73 | 20.80 | 2.04 | 2.00 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.02 | 0.06 ( 0 ) | 48.48 ( 0.7 ) | 3.65 ( 0.16 ) | 0.58 ( 0 ) | 0.06 | 48.40 | 3.65 | 0.58 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.04 | 0.23 ( 0 ) | 46.28 ( 0.69 ) | 2.72 ( 0.1 ) | 1.19 ( 0 ) | 0.23 | 46.20 | 2.72 | 1.19 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.05 | 0.42 ( 0 ) | 45.98 ( 0.68 ) | 2.22 ( 0.09 ) | 1.57 ( 0 ) | 0.42 | 45.90 | 2.22 | 1.57 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.05 | 0.6 ( 0.01 ) | 47.23 ( 0.73 ) | 2.18 ( 0.1 ) | 1.88 ( 0.01 ) | 0.60 | 47.20 | 2.18 | 1.88 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.06 | 0.78 ( 0.01 ) | 46.01 ( 0.7 ) | 2.14 ( 0.09 ) | 2.12 ( 0.01 ) | 0.78 | 46.00 | 2.14 | 2.12 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.51 | 0.05 ( 0 ) | 2.37 ( 0.16 ) | 2.54 ( 0.11 ) | 0.55 ( 0 ) | 0.05 | 2.37 | 2.54 | 0.55 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.84 | 0.13 ( 0 ) | 0.3 ( 0.05 ) | 0.69 ( 0.07 ) | 0.77 ( 0 ) | 0.13 | 0.30 | 0.69 | 0.77 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.85 | 0.2 ( 0 ) | 0.24 ( 0.05 ) | 0.73 ( 0.07 ) | 0.93 ( 0 ) | 0.20 | 0.24 | 0.73 | 0.93 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.87 | 0.27 ( 0 ) | 0.18 ( 0.05 ) | 0.72 ( 0.07 ) | 1.06 ( 0 ) | 0.27 | 0.18 | 0.72 | 1.06 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.86 | 0.34 ( 0 ) | 0.14 ( 0.04 ) | 0.86 ( 0.08 ) | 1.17 ( 0 ) | 0.34 | 0.14 | 0.86 | 1.17 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.52 | 0.05 ( 0 ) | 4.65 ( 0.2 ) | 1.99 ( 0.13 ) | 0.56 ( 0 ) | 0.05 | 4.65 | 1.99 | 0.56 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.66 | 0.16 ( 0 ) | 1.78 ( 0.13 ) | 0.64 ( 0.07 ) | 0.86 ( 0 ) | 0.16 | 1.78 | 0.64 | 0.86 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.73 | 0.26 ( 0 ) | 1.21 ( 0.1 ) | 0.6 ( 0.07 ) | 1.06 ( 0 ) | 0.26 | 1.21 | 0.60 | 1.06 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.71 | 0.35 ( 0 ) | 1.47 ( 0.13 ) | 0.63 ( 0.06 ) | 1.22 ( 0 ) | 0.35 | 1.47 | 0.63 | 1.22 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.76 | 0.44 ( 0 ) | 1.05 ( 0.11 ) | 0.55 ( 0.06 ) | 1.36 ( 0 ) | 0.44 | 1.05 | 0.55 | 1.36 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.17 | 0.05 ( 0 ) | 23.6 ( 0.51 ) | 1.93 ( 0.15 ) | 0.57 ( 0 ) | 0.05 | 23.60 | 1.93 | 0.57 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.16 | 0.22 ( 0 ) | 19.38 ( 0.47 ) | 1.14 ( 0.07 ) | 1.11 ( 0 ) | 0.22 | 19.30 | 1.14 | 1.11 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.17 | 0.37 ( 0 ) | 18.91 ( 0.41 ) | 0.96 ( 0.07 ) | 1.44 ( 0 ) | 0.37 | 18.90 | 0.96 | 1.44 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.17 | 0.52 ( 0 ) | 18.88 ( 0.46 ) | 1.01 ( 0.08 ) | 1.7 ( 0 ) | 0.52 | 18.80 | 1.01 | 1.70 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.18 | 0.68 ( 0.01 ) | 18.47 ( 0.43 ) | 1 ( 0.07 ) | 1.92 ( 0 ) | 0.68 | 18.40 | 0.00 | 1.92 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.07 | 0.05 ( 0 ) | 47.72 ( 0.68 ) | 2.25 ( 0.14 ) | 0.58 ( 0 ) | 0.05 | 47.70 | 2.25 | 0.58 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.07 | 0.23 ( 0 ) | 44.67 ( 0.68 ) | 1.33 ( 0.08 ) | 1.17 ( 0 ) | 0.23 | 44.60 | 1.33 | 1.17 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.08 | 0.4 ( 0 ) | 44.42 ( 0.63 ) | 1.13 ( 0.07 ) | 1.53 ( 0 ) | 0.40 | 44.40 | 1.13 | 1.53 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.08 | 0.57 ( 0 ) | 43.91 ( 0.67 ) | 1.1 ( 0.08 ) | 1.82 ( 0 ) | 0.57 | 43.90 | 1.10 | 1.82 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.08 | 0.74 ( 0.01 ) | 43.05 ( 0.72 ) | 1.17 ( 0.08 ) | 2.07 ( 0 ) | 0.74 | 43.00 | 1.17 | 2.07 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "17 50 50 0.3 1.0 0.00 0.31 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "33 50 50 0.5 1.0 0.00 0.6 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "49 50 50 0.7 1.0 0.00 0.8 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "65 50 50 0.9 1.0 0.00 1.1 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "5 50 100 0.1 2.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "21 50 100 0.3 2.0 0.00 0.32 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "37 50 100 0.5 2.0 0.00 0.6 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "53 50 100 0.7 2.0 0.00 0.92 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "69 50 100 0.9 2.0 0.00 1.11 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "9 50 500 0.1 10.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "25 50 500 0.3 10.0 0.00 0.36 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "41 50 500 0.5 10.0 0.00 0.58 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "57 50 500 0.7 10.0 0.00 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "73 50 500 0.9 10.0 0.00 1.18 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "13 50 1000 0.1 20.0 0.00 0.08 ( 0 ) 1 ( 0 ) 6 ( 0 ) \n", + "29 50 1000 0.3 20.0 0.00 0.34 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "45 50 1000 0.5 20.0 0.00 0.57 ( 0.02 ) 1 ( 0 ) 6 ( 0 ) \n", + "61 50 1000 0.7 20.0 0.00 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.00 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.1 0.5 0.03 0.07 ( 0 ) 2.26 ( 0.17 ) 5.06 ( 0.12 )\n", + "18 100 50 0.3 0.5 0.05 0.25 ( 0.01 ) 1.97 ( 0.13 ) 4.84 ( 0.08 )\n", + "34 100 50 0.5 0.5 0.09 0.42 ( 0.01 ) 1.75 ( 0.14 ) 4.6 ( 0.09 ) \n", + "50 100 50 0.7 0.5 0.11 0.59 ( 0.02 ) 1.85 ( 0.14 ) 4.52 ( 0.08 )\n", + "66 100 50 0.9 0.5 0.16 0.78 ( 0.02 ) 1.56 ( 0.11 ) 4.38 ( 0.09 )\n", + "6 100 100 0.1 1.0 0.01 0.07 ( 0 ) 4.76 ( 0.27 ) 5.51 ( 0.09 )\n", + "22 100 100 0.3 1.0 0.05 0.25 ( 0.01 ) 4.14 ( 0.18 ) 4.63 ( 0.1 ) \n", + "38 100 100 0.5 1.0 0.06 0.47 ( 0.02 ) 4.15 ( 0.17 ) 4.61 ( 0.09 )\n", + "54 100 100 0.7 1.0 0.05 0.63 ( 0.02 ) 4.69 ( 0.18 ) 4.65 ( 0.09 )\n", + "70 100 100 0.9 1.0 0.09 0.84 ( 0.02 ) 3.94 ( 0.18 ) 4.32 ( 0.09 )\n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.07 0.06 ( 0 ) 23.98 ( 0.51 ) 3.3 ( 0.16 ) \n", + "27 500 500 0.3 1.00 0.09 0.23 ( 0 ) 22.67 ( 0.44 ) 2.42 ( 0.09 )\n", + "43 500 500 0.5 1.00 0.11 0.41 ( 0 ) 21.23 ( 0.42 ) 2.01 ( 0.1 ) \n", + "59 500 500 0.7 1.00 0.12 0.57 ( 0.01 ) 20.96 ( 0.41 ) 1.86 ( 0.09 )\n", + "75 500 500 0.9 1.00 0.12 0.73 ( 0.01 ) 20.83 ( 0.45 ) 2.04 ( 0.09 )\n", + "15 500 1000 0.1 2.00 0.02 0.06 ( 0 ) 48.48 ( 0.7 ) 3.65 ( 0.16 )\n", + "31 500 1000 0.3 2.00 0.04 0.23 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"pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_block_summary.ipynb b/simulations/notebooks_simulations/sim_block_summary.ipynb new file mode 100644 index 0000000..c80687b --- /dev/null +++ b/simulations/notebooks_simulations/sim_block_summary.ipynb @@ -0,0 +1,796 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "block_lasso = read.csv('../results_summary/sim_block_lasso.txt', sep='\\t')\n", + "block_elnet = read.csv('../results_summary/sim_block_elnet.txt', sep='\\t')\n", + "block_rf = read.csv('../results_summary/sim_block_rf.txt', sep='\\t')\n", + "block_compLasso = read.csv('../results_summary/sim_block_compLasso.txt', sep='\\t')\n", + "\n", + "block_lasso$method = rep('lasso', dim(block_lasso)[1])\n", + "block_elnet$method = rep('elnet', dim(block_elnet)[1])\n", + "block_rf$method = rep('rf', dim(block_rf)[1])\n", + "block_compLasso$method = rep('compLasso', dim(block_compLasso)[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    NPmethodStabMSE_meanFP_meanFN_meanFDR
    161000 1000 lasso 0.17 0.30 13.40 2.77 0.47
    321000 1000 lasso 0.51 0.27 6.69 0.00 0.41
    481000 1000 lasso 0.53 0.27 6.36 0.00 0.39
    641000 1000 lasso 0.65 0.28 4.14 0.00 0.27
    801000 1000 lasso 0.60 0.28 4.93 0.00 0.31
    961000 1000 elnet 0.05 0.29 71.60 1.50 0.90
    1121000 1000 elnet 0.13 0.27 39.20 0.00 0.83
    1281000 1000 elnet 0.14 0.27 35.40 0.00 0.82
    1441000 1000 elnet 0.14 0.27 36.80 0.00 0.81
    1601000 1000 elnet 0.13 0.27 38.70 0.00 0.82
    1761000 1000 rf 0.07 0.05 47.70 2.25 0.93
    1921000 1000 rf 0.07 0.23 44.60 1.33 0.90
    2081000 1000 rf 0.08 0.40 44.40 1.13 0.90
    2241000 1000 rf 0.08 0.57 43.90 1.10 0.90
    2401000 1000 rf 0.08 0.74 43.00 1.17 0.90
    2561000 1000 compLasso0.21 0.31 8.59 2.96 0.36
    2721000 1000 compLasso0.95 0.56 0.29 0.00 0.03
    2881000 1000 compLasso0.95 0.85 0.30 0.00 0.03
    3041000 1000 compLasso0.97 1.13 0.21 0.00 0.03
    3201000 1000 compLasso0.95 1.35 0.29 0.00 0.03
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllll}\n", + " & N & P & method & Stab & MSE\\_mean & FP\\_mean & FN\\_mean & FDR\\\\\n", + "\\hline\n", + "\t16 & 1000 & 1000 & lasso & 0.17 & 0.30 & 13.40 & 2.77 & 0.47 \\\\\n", + "\t32 & 1000 & 1000 & lasso & 0.51 & 0.27 & 6.69 & 0.00 & 0.41 \\\\\n", + "\t48 & 1000 & 1000 & lasso & 0.53 & 0.27 & 6.36 & 0.00 & 0.39 \\\\\n", + "\t64 & 1000 & 1000 & lasso & 0.65 & 0.28 & 4.14 & 0.00 & 0.27 \\\\\n", + "\t80 & 1000 & 1000 & lasso & 0.60 & 0.28 & 4.93 & 0.00 & 0.31 \\\\\n", + "\t96 & 1000 & 1000 & elnet & 0.05 & 0.29 & 71.60 & 1.50 & 0.90 \\\\\n", + "\t112 & 1000 & 1000 & elnet & 0.13 & 0.27 & 39.20 & 0.00 & 0.83 \\\\\n", + "\t128 & 1000 & 1000 & elnet & 0.14 & 0.27 & 35.40 & 0.00 & 0.82 \\\\\n", + "\t144 & 1000 & 1000 & elnet & 0.14 & 0.27 & 36.80 & 0.00 & 0.81 \\\\\n", + "\t160 & 1000 & 1000 & elnet & 0.13 & 0.27 & 38.70 & 0.00 & 0.82 \\\\\n", + "\t176 & 1000 & 1000 & rf & 0.07 & 0.05 & 47.70 & 2.25 & 0.93 \\\\\n", + "\t192 & 1000 & 1000 & rf & 0.07 & 0.23 & 44.60 & 1.33 & 0.90 \\\\\n", + "\t208 & 1000 & 1000 & rf & 0.08 & 0.40 & 44.40 & 1.13 & 0.90 \\\\\n", + "\t224 & 1000 & 1000 & rf & 0.08 & 0.57 & 43.90 & 1.10 & 0.90 \\\\\n", + "\t240 & 1000 & 1000 & rf & 0.08 & 0.74 & 43.00 & 1.17 & 0.90 \\\\\n", + "\t256 & 1000 & 1000 & compLasso & 0.21 & 0.31 & 8.59 & 2.96 & 0.36 \\\\\n", + "\t272 & 1000 & 1000 & compLasso & 0.95 & 0.56 & 0.29 & 0.00 & 0.03 \\\\\n", + "\t288 & 1000 & 1000 & compLasso & 0.95 & 0.85 & 0.30 & 0.00 & 0.03 \\\\\n", + "\t304 & 1000 & 1000 & compLasso & 0.97 & 1.13 & 0.21 & 0.00 & 0.03 \\\\\n", + "\t320 & 1000 & 1000 & compLasso & 0.95 & 1.35 & 0.29 & 0.00 & 0.03 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | method | Stab | MSE_mean | FP_mean | FN_mean | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 16 | 1000 | 1000 | lasso | 0.17 | 0.30 | 13.40 | 2.77 | 0.47 |\n", + "| 32 | 1000 | 1000 | lasso | 0.51 | 0.27 | 6.69 | 0.00 | 0.41 |\n", + "| 48 | 1000 | 1000 | lasso | 0.53 | 0.27 | 6.36 | 0.00 | 0.39 |\n", + "| 64 | 1000 | 1000 | lasso | 0.65 | 0.28 | 4.14 | 0.00 | 0.27 |\n", + "| 80 | 1000 | 1000 | lasso | 0.60 | 0.28 | 4.93 | 0.00 | 0.31 |\n", + "| 96 | 1000 | 1000 | elnet | 0.05 | 0.29 | 71.60 | 1.50 | 0.90 |\n", + "| 112 | 1000 | 1000 | elnet | 0.13 | 0.27 | 39.20 | 0.00 | 0.83 |\n", + "| 128 | 1000 | 1000 | elnet | 0.14 | 0.27 | 35.40 | 0.00 | 0.82 |\n", + "| 144 | 1000 | 1000 | elnet | 0.14 | 0.27 | 36.80 | 0.00 | 0.81 |\n", + "| 160 | 1000 | 1000 | elnet | 0.13 | 0.27 | 38.70 | 0.00 | 0.82 |\n", + "| 176 | 1000 | 1000 | rf | 0.07 | 0.05 | 47.70 | 2.25 | 0.93 |\n", + "| 192 | 1000 | 1000 | rf | 0.07 | 0.23 | 44.60 | 1.33 | 0.90 |\n", + "| 208 | 1000 | 1000 | rf | 0.08 | 0.40 | 44.40 | 1.13 | 0.90 |\n", + "| 224 | 1000 | 1000 | rf | 0.08 | 0.57 | 43.90 | 1.10 | 0.90 |\n", + "| 240 | 1000 | 1000 | rf | 0.08 | 0.74 | 43.00 | 1.17 | 0.90 |\n", + "| 256 | 1000 | 1000 | compLasso | 0.21 | 0.31 | 8.59 | 2.96 | 0.36 |\n", + "| 272 | 1000 | 1000 | compLasso | 0.95 | 0.56 | 0.29 | 0.00 | 0.03 |\n", + "| 288 | 1000 | 1000 | compLasso | 0.95 | 0.85 | 0.30 | 0.00 | 0.03 |\n", + "| 304 | 1000 | 1000 | compLasso | 0.97 | 1.13 | 0.21 | 0.00 | 0.03 |\n", + "| 320 | 1000 | 1000 | compLasso | 0.95 | 1.35 | 0.29 | 0.00 | 0.03 |\n", + "\n" + ], + "text/plain": [ + " N P method Stab MSE_mean FP_mean FN_mean FDR \n", + "16 1000 1000 lasso 0.17 0.30 13.40 2.77 0.47\n", + "32 1000 1000 lasso 0.51 0.27 6.69 0.00 0.41\n", + "48 1000 1000 lasso 0.53 0.27 6.36 0.00 0.39\n", + "64 1000 1000 lasso 0.65 0.28 4.14 0.00 0.27\n", + "80 1000 1000 lasso 0.60 0.28 4.93 0.00 0.31\n", + "96 1000 1000 elnet 0.05 0.29 71.60 1.50 0.90\n", + "112 1000 1000 elnet 0.13 0.27 39.20 0.00 0.83\n", + "128 1000 1000 elnet 0.14 0.27 35.40 0.00 0.82\n", + "144 1000 1000 elnet 0.14 0.27 36.80 0.00 0.81\n", + "160 1000 1000 elnet 0.13 0.27 38.70 0.00 0.82\n", + "176 1000 1000 rf 0.07 0.05 47.70 2.25 0.93\n", + "192 1000 1000 rf 0.07 0.23 44.60 1.33 0.90\n", + "208 1000 1000 rf 0.08 0.40 44.40 1.13 0.90\n", + "224 1000 1000 rf 0.08 0.57 43.90 1.10 0.90\n", + "240 1000 1000 rf 0.08 0.74 43.00 1.17 0.90\n", + "256 1000 1000 compLasso 0.21 0.31 8.59 2.96 0.36\n", + "272 1000 1000 compLasso 0.95 0.56 0.29 0.00 0.03\n", + "288 1000 1000 compLasso 0.95 0.85 0.30 0.00 0.03\n", + "304 1000 1000 compLasso 0.97 1.13 0.21 0.00 0.03\n", + "320 1000 1000 compLasso 0.95 1.35 0.29 0.00 0.03" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "block[order(block$N, block$P, decreasing=T), c('N', 'P', 'method', 'Stab', 'MSE_mean', 'FP_mean', 'FN_mean', 'FDR')][1:20, ]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data visulization" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "block$N = as.factor(block$N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.1" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Removed 2 rows containing missing values (geom_bar).”" + ] + } + ], + "source": [ + "block_sub1 = block[block$Corr %in% 0.1, ]\n", + "\n", + "fig_num_select <- ggplot(block_sub1, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.1_num_select.pdf', height=5, width=5.5)\n", + "\n", + "figt_stab <- ggplot(block_sub1, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.1_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(block_sub1, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3.5) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.1_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(block_sub1, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.1_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(block_sub1, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.1_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.3" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "block_sub3 = block[block$Corr %in% 0.3, ]\n", + "\n", + "fig_num_select <- ggplot(block_sub3, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.3_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(block_sub3, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.3_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(block_sub3, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3.5) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.3_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(block_sub3, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.3_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(block_sub3, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.3_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "block_sub5 = block[block$Corr %in% 0.5, ]\n", + "\n", + "fig_num_select <- ggplot(block_sub5, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.5_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(block_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.5_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(block_sub5, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3.5) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.5_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(block_sub5, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.5_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(block_sub5, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.5_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.7" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "block_sub7 = block[block$Corr %in% 0.7, ]\n", + "\n", + "fig_num_select <- ggplot(block_sub7, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.7_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(block_sub7, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.7_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(block_sub7, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3.5) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.7_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(block_sub7, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.7_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(block_sub7, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.7_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.9" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "block_sub9 = block[block$Corr %in% 0.9, ]\n", + "\n", + "fig_num_select <- ggplot(block_sub9, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.9_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(block_sub9, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.9_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(block_sub9, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3.5) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.9_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(block_sub9, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.9_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(block_sub9, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Block Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 6) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_block_corr0.9_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### All together" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Vi1ahXGjRuHgw46KKB+uO0BlblCAiRA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2TGzMzfF1ESHHDzV6MNAmnfrW9cLOU0+oLATSL5\nvp5++ukBF3EjYH4HuBnfyJEjccABBwT488SsXJr5h0QoDklJwKzeicU3NBnBcmPnr7/+OiTr\nrNdTUlI0d7P33Mw/JPIkcNixYwe+//57w5wOHToUQ4YM0fzMyq2wDUX4+eefa3Ncg/fjYlkm\nT/5OnToVAwYMCLjYjKWZf0BkBicyB8kASjI5cRPISy65RFOIxo8fr31Y2eh85JFHkJubq6H4\n3e9+p+1mnpOT40PD3bdvu+027fzZZ5/F448/rm0iyQm1TU1NePDBB7WJtb4LkuiALyU3fiUv\np7OtD4KbHeobwpoxM/NPIpxaVs855xxwsQB/YdkdMWKEVlbpLuXUn074Y07Ovvzyy7V3nu+t\nLiy3l112GcrKyrRdylkxsVF1/fXX60FgVi7N/H0RyUFSEzCrd2LxDU1WwNwA9pZbbtEWX/Bn\n8NRTT2l1ktl7bubvH2cyHc+fPx9/+MMfArLMRYG4GMNVV12FM888E2blVtgG4NNO2CF33XXX\n4ac//Sl+/OMf+wJwAauLL75Y2wy2b9++mqJ011134cADD9TCmLE08/fdKNKBWp1MJIkJ/POf\n//SqxpKPQH19vfeYY47xPvrooz63c8891/vyyy/7zv0P1IphXtWI8qqeFc25paXFqwq1l/Em\nq6gX2zt9+nSvagQYIjBjZuZvGGmSOS5YsMB76KGHetWO5b6cSzn1oQh7MHfuXO8pp5ziPfzw\nw7X31D/gv/71L+9ZZ53lVQqU5rxhwwbvjBkzvCtWrNDOzcqlmb//veQ4uQmY1Tv7+g1NZrpP\nPvmk94orrgiLwOw9N/MPG3ESevzlL3/xnn322V612qKWe7NyK2zbCgnbiiyrbD/OnDnT+9xz\nz7V5qiOlMHnvv/9+rxpp1tyffvpp7xlnnOE7N2Np5h9wszAnMgcpkvaYBH6ZmZk4//zzfTnl\nMt40reFIEIWjQTSZYU+9kXz77bfast8TJkzQvDliohQs0CQqWWX16tVa713Pnj0NEZgxM/M3\njDSJHJUSj3vuuQccVRo3bpyWcymn5gWAZgq/+c1v8KMf/QiqUg+5gD3PRx11lLbsPD0HDhyI\nsWPH+t5ls3Jp5h9yQ3FIWgJm9c6+fkOTFqzKONmFq6/Jxew9N/NPZrb+eeeI0htvvIFbb70V\n+nLTZuVW2LYRfPvtt/HWW2/h7rvvDph6wBAclVu+fDlOPPFE2Gw27aLjjjtOa5fS/JtixtLM\nX4vE5B9RkEwAJbo3lSN9yJJ55RrztLMdPXq0lnXVI6LN/VA9z9pwJ4eRH374YU1xYgCa43D4\n01+4TxJNKIzmjPiHS9RjzoWhed19992HU089VTNhpI2tLmbMzPz1eJL1l+WPc+QuuugiHwIp\npz4UYQ/Y+fHSSy9p5dHf9FO/gOUueI8zntP2nmJWLs389fvIrxAwq3f29RuazITZSOc+MTfe\neCNOOukk3HTTTeCcQ12iec8jfQf0eJL5lx1yNLdTI+5ah7LOIppyK2xbaXHu8AsvvBDQ/tQ5\nbt++XTv0Z8UO59TU1ID6yN+fF/Dcv76K5K/fK9KvKEiR6CSZH+d43H777VrPMT+sFH5sKfwg\nXHnllTjiiCPw+uuvQw0ta+4syPpcJc1B/UPlgMpRVVWV7pRUv6tWrdIUzeHDh+NXv/qVpkDe\nfPPNvomzZszM/JMKZlBmOQrCXqfTTjstYH6XlNMgUAanVIrCjWrSlp6dGsHvMs/ZaUIxK5dm\n/gZJEichoM0tDK539vUbmqxY+X3ke8h3+YQTTtA6Q6gQse7m3EOz99zMP1m5Buf7008/1Riz\nHvKXSOVW2PqTglYXGXXUMRTLLDtB/RcLozvbllT+zVia+TOuaKRtBnk0oSVMwhKorq7Wepr4\nq+w+favdcFEBrlbXu3dvLe8TJ06Ew+GAsgfVJiZyVRwWRn/Rz2lGkYzCyp4KInd/p3CEjj1L\nL774Ig466CCNrc5I56Ofk5kw1amE/r7//vuaYqQvdqGHkHKqk+jYL99pu91u+C5nZWVpkZqV\nSzP/jqVMrkpkAuHqnX39hiYys0h54wJLar6wtpose9sptAa54IIL8NFHH2lKU6T3PJrvQKT7\nJ4sfTevUHNiQDqdI5ZbtgEjsk4VdNPk0qkt4HRdeYBvJrJya+UeTBoaREaRoSSVwOPY2qUmd\nWuPo73//e8DqN9TgdeVIR6Cb5LGnqrCwUFuCUffjLys9KgfB2r9/mEQ+zsvL8ylHej6pGLFX\nhGLGzMxfjzMZf1kxcQ5NsPIt5XTfSgPtvLl0P3ug/YXvcklJieZkVi7N/P3jlWMhEKne2ddv\naLLS5XvM91VXjshh8ODBKCoq0uofs/fczD9Zufrnm3Oy1eJAUIvd+Dtrx5HKrbANwRXWgXUJ\nlSHON/YX1kdsj5qxNPP3jzPSsShIkegkgV95ebmmHHF/Hi7NzRfcX1555RXccMMN/k7ax4EF\nkAV10KBBUKtcBfQ8L126NGReUkAECX5CXuTmL/yg6vawZszM/P3jTaZjTtxcu3at1nMXnG8p\np8FE2n/OhhTfXX/hhFh9jqFZuTTz949XjpObgFm9s6/f0GSlq1ae1EaLNm/e7EPAjrmKigrf\ne2z2npv5+yJO0oNvvvkG+fn54LYowWJWboVtMDHj8379+mmWIv71ERdtoGWO3o4yY2nmb3zn\nQFdRkAJ5JN0Z5xJRU+eGkVR02JDnHye9U7jpKz8InHdEMzC1vLJ2zJXqaA965JFHauGef/55\nrfCuW7cOXJ3kvPPO09yT8R9udsb9YDgvhnO3Xn31VY2tWqJSw2HGzMw/GZkyz6z8KWyIB4uU\n02Ai7T+nPf2HH36obRKrVj3Vyi3nJc6ePVuLzKxcmvm3P0VyRaISMKt39vUbmqjczPJVWlqq\nrajGhWw4V4PK0UMPPaRZNHD+MMXsPTfzN0tDovur7QwM6yDm26zcCtvoSgc76mk2z727OHeu\nsbFR22uT7U6OhlLMWJr5R5MS2Sg2GkoJGoZLeXNVOiPhrsX33nuv5kWbZrUvkqYAUZk6+uij\ntc0jdRM6rnp3xx13aMOhXCmLSzP6rzBmFH8iu6k9EbRNS7/44gvN1IGcrrnmGm35cz3fZszM\n/PV4kumXiuYzzzyD//3vf4bZlnJqiMXQkXMIuQyq/0axDKj2pdCUe9qAc+SIk7s5B1EXs3Jp\n5q/HI7/JSyCaeicW39BkJcyOzjvvvNO3VQd70jk3ZsCAAT4kZu+5mb8voiQ84KawQ4cO1TY3\nDc5+NOVW2AZTg7bVDNuV/hvFUsFnu5Id9mxDccSOi135LyRkxtLMPzQlgS6iIAXykLMwBDh6\nxOUTaRvqb9/sH5xmE9TuORFRBKirq9PmdPTq1cu3ln8wFzNmZv7B8SX7uZTTfS8BHDWirTff\n9XBiVi7N/MPFK+5CwJ9ALL6h/vEl0zHneLGjI9hsXmdg9p6b+evxyG8oAbNyK2xDmYVzYV3E\nRRf0xYKCw5mxNPMPjs//XBQkfxpyLASEgBAQAkJACAgBISAEhEBSE5Cu/qR+/JJ5ISAEhIAQ\nEAJCQAgIASEgBPwJiILkT0OOhYAQEAJCQAgIASEgBISAEEhqAqIgJfXjl8wLASEgBISAEBAC\nQkAICAEh4E9AFCR/GnIsBISAEBACQkAICAEhIASEQFITEAUpqR+/ZF4ICAEhIASEgBAQAkJA\nCAgBfwKiIPnTkGMhIASEgBAQAkJACAgBISAEkpqAM6lzL5kXAhYjUFlZqe2d5J8s7gHAvSyy\ns7PD7qfkH16OhYAQEAJCQAi0l4DUP+0lJuETmYCMICXy05W8dTsCv/3tb1FaWhrw179/f233\n6OLiYlx77bUhClS3y6QkWAgIASEgBCxHQOofyz0SSVAXEpARpC6EL7cWAuEI3HLLLejVq5fm\n7Xa7sWfPHrz11lt48MEHsXbtWrzxxhsymhQOnrgLASEgBIRAhwlI/dNhdHJhAhEQBSmBHqZk\nJXEInHfeeRg+fHhAhm6++WYcfvjhmqK0bNkyjBkzJsBfToSAEBACQkAI7CsBqX/2laBcnwgE\nxMQuEZ6i5CEpCDidTpx44olaXufPn58UeZZMCgEhIASEQNcTkPqn65+BpKBzCYiC1Lm85W5C\nYJ8IzJ07V7ue85FEhIAQEAJCQAh0FgGpfzqLtNzHCgTExM4KT0HSIARMCHg8Hrz99tt4/fXX\nUVRUhGnTpplcId5CQAgIASEgBPadgNQ/+85QYuh+BERB6n7PTFKcBARmzpwJmjRQuEhDRUUF\nWlpaUFBQgCeeeEJb9jsJMEgWhYAQEAJCoJMJSP3TycDldpYkIAqSJR+LJCrZCYwfPx45OTka\nBipKffv2xaBBg3DmmWeiZ8+eyY5H8i8EhIAQEAJxIiD1T5zASrTdioAoSN3qcUlik4XAAw88\nELKKXbLkXfIpBISAEBACXUdA6p+uYy93tg4BWaTBOs9CUiIEhIAQEAJCQAgIASEgBIRAFxMQ\nBamLH4DcXggIASEgBISAEBACQkAICAHrEBAFyTrPQlIiBISAEBACQkAICAEhIASEQBcTEAWp\nix+A3F4ICAEhIASEgBAQAkJACAgB6xCweZVYJzmSEiEgBISAEBACQkAICAEhIASEQNcRkBGk\nrmMvdxYCQkAICAEhIASEgBAQAkLAYgREQbLYA5HkCAEhIASEgBAQAkJACAgBIdB1BERB6jr2\ncmchIASEgBAQAkJACAgBISAELEZAFCSLPRBJjhAQAkJACAgBISAEhIAQEAJdR0AUpK5jL3cW\nAkJACAgBISAEhIAQEAJCwGIEREGy2AOR5AgBISAEhIAQEAJCQAgIASHQdQREQeo69nJnISAE\nhIAQEAJCQAgIASEgBCxGQBQkiz0QSY4QEAJCQAgIASEgBISAEBACXUdAFKSuYy93FgJCQAgI\nASEgBISAEBACQsBiBERBstgDkeQIASEgBISAEBACQkAICAEh0HUEREHqOvZyZyEgBISAEBAC\nQkAICAEhIAQsRkAUJIs9EEmOEBACQkAICAEhIASEgBAQAl1HQBSkrmMvdxYCQkAICAEhIASE\ngBAQAkLAYgREQbLYA5HkCAEhIASEgBAQAkJACAgBIdB1BERB6jr2cmchIASEgBAQAkJACAgB\nISAELEZAFCSLPRBJjhAQAkJACAgBISAEhIAQEAJdR0AUpK5jL3cWAkJACAgBISAEhIAQEAJC\nwGIEREGy2AOR5AgBISAEhIAQEAJCQAgIASHQdQREQeo69nJnISAEhIAQEAJCQAgIASEgBCxG\nQBQkiz0QSY4QEAJCQAgIASEgBISAEBACXUdAFKSuYy93FgJCQAgIASEgBISAEBACQsBiBJwW\nS4+lkuP1ejs9PTabrdPvGemGnc3AavmPxIZ+wicyIeETmY/4Wp9AZ5dhEulu30HrP8X2pbCz\nn3miPe/O5peo70xnc0y0cti+tz40tChIoUwCXNxuN2prawPc4nVit9uRm5sbr+g7FG9TUxMa\nGxs7dG17L0pNTUVmZmZ7L+vS8C0tLaivr++UNKSkpCArK6tT7hWrm7hcLtTV1cUquojxOJ1O\nZGdnRwwjnkKgIwQ8Hg9qamo6cmm7r7FiPdDuTHTzC5qbm9HQ0NApueiO9Z4ZGL4rfGc6Q3Jy\ncsB3JhGFbU+2QTtD2LZgG0OkjUBilqq2/MmREBACQkAICAEhIASEgBAQAkIgagKiIEWNSgIK\nASEgBISAEBACQkAICAEhkOgEREFK9Ccs+RMCQkAICAEhIASEgBAQAkIgagKiIEWNSgIKASEg\nBISAEBACQkAICAEhkOgEREFK9Ccs+RMCQkAICAEhIASEgBAQAkIgagKiIEWNSgIKASEgBISA\nEBACQkAICAEhkOgEEkZB4lKIGzduxI4dO8I+My49yTBculpECAgBISAErENg+/btKCsri3uC\n+P1nPdBZy8/HPUNyAyEgBISAEIg5gYRRkMrLy1FaWorBgwdj7dq1hqCefvppLcy8efMM/bub\n4+LFi/H8888H/H300UcB2dizZw/+7//+Dw888ABWrlwZ4JcoJ3zeDz74oGF2mOe//OUvGqOq\nqqqQMGb+IRd0I4doyodZ/s38uxGOsEll58pdd92FysrKkDBm+Td7v8z8Q26YJA7cP+xPf/oT\nKioqfDk+4YQTcMwxx/jO43Uwf/58rR545ZVX4nWLpI13/fr1uOOOO8Byn2xSXV2NNWvWdGm2\nv/vuO9x3330xTQPzlQjCjhGWzc2bNydCdsLm4Q9/+EOXtPW4X+Yf//hHnHfeeXj99dfDpq87\neSSMgqRDZ6/gRRddhM7egVi/P9TGmLaVK2Cbr5Swbdt8zvE4+POf/4wrrrgCN998s+/viSee\n8N1q6dKlKCkpwd/+9jd8/fXXmDhxIt59912ffzwOGpr3YFnZ2/hh2+uoadwej1sExEml58QT\nT9SUwAAPdXLPPfdgzJgx+Pbbb/HXv/4VBx98cMAIo5l/cHyxOK91ufFJ5W68XbETWxvjO5Jp\nVj7M8m/mHwsewXF4moE9y53YtSAFjTs65/P0q1/9Cr/97W8RrECb5d/s/TLzD857Mp2zbN5w\nww3ghpwiiUOACtLtt9+O3bt3J06moswJy/Svf/3rKEPHJ9iCBQtiqiC9/fbbndJpER8agbGy\nAc+ymegK0n/+8x+w7ulsufPOO0HlrKCgQPvr7PvH437OeETalXGmp6fj888/15SCa665pnOT\nsmUzHI88BGW7AbW1M6gseceMheeCi4DU1Jin5fvvv9d6vq+++mrDuKkoXnrppdrokc1mw+9/\n/3tcddVVWL16NXgea/l+84v47+JfoDVmG9zeFhwx/NeYOfz6WN9Ki++9997T8kezSipC/rJq\n1Sqtt+jjjz/GIYccAvZYT5s2Tas8+BKb+fvHFavjj3ZV4pcr1yguXtgV/ya10/j5fUpw46CB\n8XkeEcqHWf7N/GPFxD+e6jUOrH48C55mG2zq9fG0AIVTmjHorAbYHP4hY3PMivKyyy4Dy0iw\nRJN/s/fLzD/4nsl07lLfxkQWNlT/8Y9/aCaDkydPxs9//nP06NEjkbOc1HmjFcMjjzyi1TPv\nvPMOfvSjHyUEjx9++CGupqi0/Pjvf/8bwio7Oxv/+9//QtzFwboEaLFy8sknh7XmsW7Kw6es\nc7pow98/5j7nn38+hg4diptuuqlzh7tV74TjHw8Cajjapkx2bKpBblMNYdvyZbC/8lLM88ne\nkBUrVmDSpEmGcdOenyMnP/vZz3yN74svvlgzP6R7rGVT5Ty8tvBquD1NcGl/jWoUz42PVv0J\ni7f+J9a300w4+DJecMEF4AhAsFB5orkllSNKSkoKWDb+/e9/a+dm/lqgGP6zrr4B1yxfhQal\nFDWrctGofr0q/ufLyvGc+ou1mJUPs/yb+cc6vc1VNqx8OBvuBhu8bptSjqhm29RIUiq2vJMe\n69tp8fF98Kjn8MYbb4TEb5Z/s/fLzD/khhZxYOfJbbfdhl27duGtt97SRqjZyfLaa69pKeQI\nPUekf/zjH+Ohhx7Czp07Q1K+ZMkSbUTutNNOw/XXXx+igL744os+t3vvvTdk9JejDxy9O/PM\nM3HjjTfiq6++CrlHQ0ODlg6+/+eeey7Yex/OrOuLL77Q4mFYmhvH27pgzpw5Wq87e3Lnzp2L\nv//979p5vOY88Rmw0+f444/X8knlTBeajz788MNaw4UmjDS/YmeRLkzb+++/rzXu6X/55Zdj\n3bp12LBhA6688kqcfvrp8DdFZHiWC8Zz7LHHaqOAy5cv16OL6pfxX3fddRqTU045RXt2/iOJ\n7Pi78MILccQRR+CnP/2pVo/pEfMZ02Ji1qxZWvl4/PHHA54nTe1ZH9Cfpj58jztDbrnlFh9X\nps8/P7G+/8KFCzUuzCM5bgtjqcLnTH7kzffo6KOP1jpIg+f58Z0444wzwOd///33q37d1s6L\nzz77DK+++iq2bNmixROPUUF2UvF5B/8tWrQo1tgM4+O3nx1ZLGtsH1C51cWsrD3zzDM46aST\nMHv2bK296W+ibfbe6ffojr80VWS54lSVU089VRs1/c1vfgOWS7rRL57lvzOZJZyClJmZiaee\negpsIPIjywZQZ4ht4fdQpWLv6EnbHTVlad43UCtDtDnG4Ig9O3wJ+UJTSaJSyI8g801hBUcZ\nMmSI9st/aG6XkZERlyHmr9c/pu4QOipFJemLtX/3pSFWB1lZWdqHn8O6VH6ChaYe/nmnPxWm\nrVu3amXCzD84vn09f3F7uU9R9Y/LpZSlJ7bE3hTTrHyY5d/M3z8PsTjeOU+NsFJjDCpDVJbK\nP0tTjaBY3CUwDjau+P7069cv0EOdmeXf7P0y8w+5oUUcqCDxnWLDiwoOyxHnObIipGLEOUJs\nALJhQ+Vn4MCB2LRpky/17EXniAnnF7GSZCOLjQ//Toxly5ZpiyTwInbW8B66sIHL7xlHX9jw\no+Izc+ZMrVGuh6H76NGj8ctf/lIboaFpJOcWjB07Fv7KAcPzenaS0LS4trZWS/O1116rRxWX\nXyp3eiNTvwG5/utf/9JPY/ZLpYujFc8++6z2bNh4oSkxyy+FjT/WC8OGDdOeCxUphteVRCoQ\n7ChgQ/HII48ElTsqWmz45ebmYuTIkZoionNl+J/85CegknvWWWdpz+6www7TvqvRZIrpGjdu\nnDbfjwoM0/W73/0OVDAofP583rQEYUOLlg7MDzsDKVSGP/nkE5xzzjk44IADtHLFPFHYgKcZ\nOc3C2Nhn3c+8/POf/9T84/UPR6D9TdeZRyql8RDe66CDDtLKMpXXb775RuNppCSxfcBvHBvw\n5EomnKNMxUoXvgu/+MUvtOdACwu+t3zvKcXFxdq3kW2qKVOmKCMY9Y1OIOE3huWI7QJ2ntTX\n12us9DnqkcoalUqOCs+YMUN7P/hc+P7oYvbe6eH29ZfvMb/F/Abrf1SM2Wmin/M32Hx8X+7L\n+FmuyC4tLU3rmBo/fjzy8vK0NibLisMRB5OPfUl0B69NOBM7cpg+fTr44rM3hEO4rOzjLbbd\naoJ3mFacjUpatVogoKg4Zsmgtk5hTyp7YT/88EOtR5cfQiqIbKDxw8aKxl9oH8owsZZddWtV\n+9ZYGa2q3xLr22lKERW+cMJVqnr27Bngzbyz0uDHw8yflUMsZWNDI6gMGUlFHOZhmJUPs/yb\n+ceaT1OlHd4wVlc0uVODknAEFmUjlO1yGzBgQNjwZvk3e7/YQO7M9y9sRjrowQYfG6VUgNiT\n2r9/f9BkmY1WKpU0geEICUcA2FimAsQJ6gzDBu1LL72EwsJC7e5s/NK8l8oVlSUqM6xAOVLF\ncH379vWlkt8mmgzri64wDVSGqJxxxILCBj3DcWSIlTGFJpFUhNh4Z2+00+nU/GlJwHmaHPlg\nY5u956wf4inhFgliT36shXNOyYLs9QYsFVPWBxMmTNBGzDhhmo1jCpUjMqMblSAKO5to5kRm\nfM58phwhYgOQQiWX4XVrBcb/5ZdfauGp5LBz7u6779aUWu2CCP9w0ROODD722GPKCt2ujURy\noQ6OtFGoLLOhyjLCbwzDjho1yqfQcTSRCiifM4UKHL/pFLpzpVoqKGRBc3KWLSqIDM/OwVgL\n33P2ngcL62QqkLH+TrJTgM9Qt4Tg+0ilkPxZxo2Eo0Ps9KCMGDECRx11lPYekBWvee6553D2\n2Wdr/lSOqLTymR966KGYOnWqVrZ4n0QTmuZzASeOkFPY4C8qKtLKIpXvSGWN5Z8dQewk4neF\nihLfEXZQ0NSMCpTZexcLnuzYoHIXLJzfyT9d+J5wHnoshWWF75wuTz75pDbVIZHKSkIqSHxg\nrJDffPNN7ePFipUvfTzFqxoD4eb1eFVFgLz8mN6evRvssSgtLdXiZS8eKzh+CPnSs4LwN6XQ\nb063nJwc/TRmv0XZI1BWvVRVZK2VlX/EPbJK/U875dgo//qwL/Nv5h/rRA7JzMCcPVWGSlKJ\n6oWJtXSkfHQln/RCD2zqa2SkJDnS1Zyt2COKiNysfBj5M0L9/TLzj3hzC3iykqNyRMnPz9fm\n79EU6/bbb9eUI7qzp5/CHkoKTe5Yhtgg1ZUjurOHmj3T7LGlghRJ2GjmqI8urNjZANRHEGju\nQ+WNipiuHDHs8OHDtQYBGyz6qBUb/VTEOEKhf5t79+6tpU9vFOn3ieUvG6FGnVDMS6yFyiAb\nZyxvupAz5dFHH9V6eP2Zs1HHjiX2kusKEnt/WXdQ9FF3/9UE2WikyagurHf08HTjiIQ+wqSH\nCffLeFlu2ONO0zyOJlKZ0zu72CBnGlhfM14qAzR90ju72BikwssRM46McIEeff4pV3Bj2vxZ\ncASJ5YmKGRXGWAt70hl3sFD5YLmjYh8rYeObpmd6GdbjZRnnyozhxP890TuFOPLIazgCwbLg\nb9LGzg/6UUFKZKESzg4Tmg/z+0IG7HDWrXAilTUqvyyb7BxgOTzuuOO0jh2+F3wnObJi9t7F\ngi07Pvj91UeEGSfvy0EBln1dgjvKdfd9+eW7muiiWu6JKewt4kgKPyqdYWrnHb8/kJEJr+pN\n8Bev+nh5p8+I+SINLPC6cqTfjy8shb3fffr00Rpr/FD7C+1kBw0a5O8Uk+ODh1xmGI8Ndswc\nFp9FGgxvuNeR+fe3CaYzz3v16qX1JJr5R4q7I35n9+4VZDzWGotTlZfL+7f1oHckbqNroikf\nVuLDxRhsDuYkcJTN5vCi9xGNqoFrlMv4uZmVD7P3y8w/fimPTcw0O/EXNpJpysp86UKTCore\ng8+GIhURNszZa63/cR4kR9M4ymMmVMrYuPAXNkI4J4qiz3fxb/TpYfUKW1em2OCh+WTw4gj6\nSIh+Xax/b7311pCRe5qVcTQk1kJFjCNARsKRPyq3/v58PhzV0J8Zr9OVD/84aF4XTkr3dsrp\n/uQb7fwq9q6z/uEooG4e5t8QZ+OcZpfsmeZIEpUhlkWa1VFoFcKeeSqhHGWkWSUVcgrNiPxH\nI+nG7z3FP7+aQwz+4fdTN+8zio6mqf6Kh1GY9rhxuW2aDZIROxL0P44I0QQ2nPg/f15DYYOa\n5YMNer5velz85QiurnSGizMR3LmyLcsiyxpHkzgi4j/iF6mssUOaVhpUlPQ5h/z+kGm0712s\nGLLDl++r/sdnyPavfs5f/06DWN3X6LsRq7itEk/CjiARME09qEnTXIAvg9FclZg9CNWD5776\nWjgeexheTlxWipG2it2kyfCcFP7j1dH7s2eKPbr+E8xpcsKXgxUYP6R8KWi6wA8ohT1FrCiC\nGz8dTYP/dX3yxuHsSU/i1YVXosWtGrRUB1RlPHvMXRhZcrR/0E45ZsXJYW6aQOi9nWSh95Ca\n+cc6kf2UQvvYmJH4+YrVqFZp4ip2HlVJXamUo9NKYmvOx7SblQ+z/Jv5x5pPSrYXI6+q1Vax\na1E6PVex42Bk8Ywm9D4qtvP3okm7Wf7Zwx3p/aKCGsk/mjR0ZRijyi/Yrty/15JppekqG1v6\n++affo4csGFnJmaj27qixEo/WPT49ZFzhtXd/MMGK0z+frE4pgLGBj3nY3HkhedcLTEevbj8\nlnNRDH9hfUflgqaJVKDYkNNHT9hjTiXFyCzMP45Ixxz98ZcPPvhAG+Xzdwt3zBFIjqRx1Egv\nT2xg6goMlWjWU1SM+EelgCNJNAVjA5TmnOyt5x/rOI7S0FqE8VKR9p8LxDTwnOWR73OsheVo\nw4YNsY42bHzspGC5ZycFTep0YTugI20b8uK7wpEGzj+i8Dlw8QGOyFL0kVftJA7/8D5UNoLF\nX6kL9ovFOUeKaIJGU0h9FWDmnSajLFd8fyKVNY5S81vFssc/jhqx04Zz9Mg1Hu9dLPItcbSP\nQMKOIOkYuAEkX0LawRsNhevhYvLbqwTum2+D+xe/hufiS+G+/S54fnx+q7IUkxu0RUKzQX78\n9aVFWWlxYijNETjXhg0crjRFkzv2rPGF514vHDYO7mVri3Xfjkb3no0bZy3DTw58BedN/Tdu\nmrUCU0sv3LdIO3g1e3Yo3LiMHzzatnNEUW8YmPl38LYRLzswPw+fTZmI/9tvNB4aPQJzpk7C\n5QNCFwiIGEmUnmblwyz/Zv5RJqNdwbIHuDHh9mqMvrYWwy6pw/53VmPgyZ0/esREm+Xf7P0y\n828XGIsH1hUlNtZpnsJvzgsvvBDwx3kONEfaV9E7OIwaprqbrgzwVzf/87+v0YR2f/9YHFMJ\nYA8054pw3oiRohaL+3AkhgoG78VRHCpDVBpoSkeLAo7IcUSLi0TQPJGNQvaS66t7diQNHBXh\nt5SNTP7ynsHzIKjksMPO/48jLjSl4y+vZbnhaBBXyaOlhy4/UfOF6MYGKxUkLr7A585ecZpx\ncsSIvfSMg/OXWJ9R+aQSyrlYNKmj5QS3+2D9SDOk4FFJ/V7d7ZerDNK8kEtgkw/zSDNDdk60\nV6iYcCSO5YP75vDdpaLJMqJ3QFAJpFJNxTV44ZH23s8oPE15aeIW/Mc8xlOoNPMbzQ4MXSGi\n2S7LITmYlTW+A1Sm+F6xHDMe8mE5jdd7F08eErcxgYRXkPxN7eK9mo2GWI0MoP8AeEerfXmU\nohIvYWOEc41o38+PmW7b7Z9HKgesGFghsteJvUzsXYynpDgyMLjwYAwtOhTpKbGf6xRt2vnc\nX375ZW3eA81MOIrGZWv1id5m/tHep73hUtUI36S8XMwoyEeBwep77Y0vXHiz8mGWfzP/cPfd\nV3eOHGWXupE/yoWU3EBzu32Nuz3XR5N/s/fLzL896ekOYTliT+HIrb9wxIIKgv/qcfrogT7v\nzT98pGNO2GcH0NNPPx1gd89rOEmYoitIuslL8H4q7BlOFNl///013uwIZIOPygAbeqwPWIZp\nYcCVO6mwsWebc364khnnsXRUZs6cqfWa87vKjkfWOYcffnhAdDQnpBLm/8dJ75wjRtNMmr5x\nnhpHuqnQcGELKkPszGSvPuNlOJpA7bfffto5RzM4ksSwVIrYeOdIFJeiptBUj4tW0GSKoy2c\nG8KyQFO3RBEubMLOG5qDcQSDiikXSOGKdu0VtgeooLLzlIz5PFg2qJzocwj5/PiuUpGKNM+p\nvffu6vDMO+dFsiOH7SMq7vxGkS1Hg8zKmj4HkisK8jmwvD/wwANax0S83rtombFM8Lsgsu8E\n1FY9Sv1NAGGvID+aNKljb1qwsBePCgWFvVrRrGRENOyl4fKwnSE0j9N7bqK9H4fIucwj8x6u\nl4w9duwxaW/cTAN7U/jXGUKTJM5ViLXofMjXSMz8ja7R3djAYwXTGcKPentND6IpH2b5N/OP\nlHfeP9r5CZHiicaPZTwePfVm+Td7v8z8o8lbZ4XhEsnsRGCPLvcZ04WLfrAhyl57XfhtJHP2\n3LORzGfNCf8ctaHZCSfMs6eVjXfa+HP+EBuuFI4EsMMO1/dBAAAEBklEQVSCPchsyHLBAJqo\n6BPR9Xvwl40W7r2jz6fUr+U1v/71rzVTRs574h9Nj7hyHYXvJics876cr8K0ceEGpo35eFop\nWcEjH9qFQf+wHmAvs37/IO+Yn3akHmAaqQixHjAyi2IZpDuVy30RmmNxpTs+A96PHW9G9zO7\nB80f+b2PZFLJXnkqYUamiayT+Qz18uR/P7LgaBkbvfxmdkRYDv3LekfiiPaajtR7fNdoxmW0\nRUG09/UPRysTjoBQyTYSfV6NkZ+Rmz5fysgv1m4sQ3xnOlIOmRa9rPBbZiSRyhq/C3wP+ByM\n7r+v7x2/OfzOdoawbdHR96Uz0tcV9zAuEV2Rkjjfk5U0V7WLu5ldnPMRHD0LNEcLIkm8be4j\n3dsKfqzQI4mZf6Rrre4XTfkwy7+Zv9UZ7Gv6zPJv9n6Z+e9r+qxyPcsabfOp+LBDSjfJ4Xwt\nmpr5N2bZ482lnvnHORT6imrR5IVzU9hLS1Mgfe4ERx78l6ZmPGx4cilymqFdcsklWoOXDXrO\nseACEokkbJxFaizHowxSGeuohGuI+8enr2zn76YfsyMkXGcIWZi9s3o83fWX71qk593efOkL\nroS7jopqoooZx0hljYpZpLIWj/cuUZ+DFfOVMCNI8YDbHUaQ4pFv/zgTYQTJPz+xPrb6CFKs\n89ve+BJhBKm9eZbwraM3nA/ChlekUQbOL+EIARWejghH92gCxHtEEo4G0MpAn8MUKWywX3cY\nQQpOc7zOOe+CrGk+mshi9REkq7PvTiNIVmYpI0hd+3SSZgSpazHL3YWAEBACyUOAozdcRc1M\n9tXkK1Lvrf+9qYB1RDnyj0OOoc1PEQ5CQAgIgWQgYDwpIxlyLnkUAkJACAgBISAEhIAQEAJC\nQAgEERAFKQiInAoBISAEhIAQEAJCQAgIASGQvAREQUreZy85FwJCQAgIASEgBISAEBACQiCI\ngChIQUCCT42WbgwOk8jnyZ7/RH62kjchIASEgBAQAkLAmgSk/dW1z0VWsYvAn6sXSQGNAEi8\nhIAQEAIJTkDqgQR/wJK9bk9A3tFu/wgtmQFRkCz5WCRRQkAICAEhIASEgBAQAkJACHQFATGx\n6wrqck8hIASEgBAQAkJACAgBISAELElAFCRLPhZJlBAQAkJACAgBISAEhIAQEAJdQUAUpK6g\nLvcUAkJACAgBISAEhIAQEAJCwJIEREGy5GORRAkBISAEhIAQEAJCQAgIASHQFQREQeoK6nJP\nISAEhIAQEAJCQAgIASEgBCxJQBQkSz4WSZQQEAJCQAgIASEgBISAEBACXUFAFKSuoC73FAJC\nQAgIASEgBISAEBACQsCSBERBsuRjkUQJASEgBISAEBACQkAICAEh0BUE/h8F1RBco3BCUwAA\nAABJRU5ErkJggg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "block$N = as.factor(block$N)\n", + "fig_block_stab = ggplot(block, aes(x=P, y=Stab, color=N)) + geom_point(aes(shape=method)) + ylab('Stability')\n", + "fig_block_mse = ggplot(block, aes(x=P, y=MSE_mean, color=N)) + geom_point(aes(shape=method)) + ylab('MSE')\n", + "fig_block_fp = ggplot(block, aes(x=P, y=FP_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Positives')\n", + "fig_block_fn = ggplot(block, aes(x=P, y=FN_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_block_stab, fig_block_mse, fig_block_fp, fig_block_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"bottom\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Block\"))\n", + "fig" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "file saved to ../figures_sim/figure_block_summary.pdf\n" + ] + } + ], + "source": [ + "ggexport(fig, filename = \"../figures_sim/figure_block_summary.pdf\", height=8, width=8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_indepdent_compLasso.ipynb b/simulations/notebooks_simulations/sim_indepdent_compLasso.ipynb new file mode 100644 index 0000000..091fdc5 --- /dev/null +++ b/simulations/notebooks_simulations/sim_indepdent_compLasso.ipynb @@ -0,0 +1,412 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/independent_compLasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "files = NULL\n", + "for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData'))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_ind_compLasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_ind = NULL\n", + "tmp_num_select = rep(0, length(results_ind_compLasso))\n", + "for (i in 1:length(results_ind_compLasso)){\n", + " table_ind = rbind(table_ind, results_ind_compLasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_ind_compLasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_ind = as.data.frame(table_ind)\n", + "table_ind$num_select = tmp_num_select\n", + "table_ind$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0 2.99 ( 0.27 )0.05 ( 0.02 )0.8 ( 0.05 ) 0.61 8.94 0.28
    100 50 0 0.79 ( 0.15 )0 ( 0 ) 0.98 ( 0.06 )0.87 6.79 0.09
    500 50 0 0.51 ( 0.11 )0 ( 0 ) 1.08 ( 0.05 )0.91 6.51 0.06
    1000 50 0 0.39 ( 0.15 )0 ( 0 ) 1.18 ( 0.04 )0.93 6.39 0.04
    50 100 0 4.3 ( 0.31 ) 0.24 ( 0.05 )1.05 ( 0.07 )0.52 10.06 0.37
    100 100 0 1.02 ( 0.19 )0 ( 0 ) 0.94 ( 0.04 )0.85 7.02 0.11
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0 & 2.99 ( 0.27 ) & 0.05 ( 0.02 ) & 0.8 ( 0.05 ) & 0.61 & 8.94 & 0.28 \\\\\n", + "\t 100 & 50 & 0 & 0.79 ( 0.15 ) & 0 ( 0 ) & 0.98 ( 0.06 ) & 0.87 & 6.79 & 0.09 \\\\\n", + "\t 500 & 50 & 0 & 0.51 ( 0.11 ) & 0 ( 0 ) & 1.08 ( 0.05 ) & 0.91 & 6.51 & 0.06 \\\\\n", + "\t 1000 & 50 & 0 & 0.39 ( 0.15 ) & 0 ( 0 ) & 1.18 ( 0.04 ) & 0.93 & 6.39 & 0.04 \\\\\n", + "\t 50 & 100 & 0 & 4.3 ( 0.31 ) & 0.24 ( 0.05 ) & 1.05 ( 0.07 ) & 0.52 & 10.06 & 0.37 \\\\\n", + "\t 100 & 100 & 0 & 1.02 ( 0.19 ) & 0 ( 0 ) & 0.94 ( 0.04 ) & 0.85 & 7.02 & 0.11 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0 | 2.99 ( 0.27 ) | 0.05 ( 0.02 ) | 0.8 ( 0.05 ) | 0.61 | 8.94 | 0.28 |\n", + "| 100 | 50 | 0 | 0.79 ( 0.15 ) | 0 ( 0 ) | 0.98 ( 0.06 ) | 0.87 | 6.79 | 0.09 |\n", + "| 500 | 50 | 0 | 0.51 ( 0.11 ) | 0 ( 0 ) | 1.08 ( 0.05 ) | 0.91 | 6.51 | 0.06 |\n", + "| 1000 | 50 | 0 | 0.39 ( 0.15 ) | 0 ( 0 ) | 1.18 ( 0.04 ) | 0.93 | 6.39 | 0.04 |\n", + "| 50 | 100 | 0 | 4.3 ( 0.31 ) | 0.24 ( 0.05 ) | 1.05 ( 0.07 ) | 0.52 | 10.06 | 0.37 |\n", + "| 100 | 100 | 0 | 1.02 ( 0.19 ) | 0 ( 0 ) | 0.94 ( 0.04 ) | 0.85 | 7.02 | 0.11 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0 2.99 ( 0.27 ) 0.05 ( 0.02 ) 0.8 ( 0.05 ) 0.61 8.94 0.28\n", + "2 100 50 0 0.79 ( 0.15 ) 0 ( 0 ) 0.98 ( 0.06 ) 0.87 6.79 0.09\n", + "3 500 50 0 0.51 ( 0.11 ) 0 ( 0 ) 1.08 ( 0.05 ) 0.91 6.51 0.06\n", + "4 1000 50 0 0.39 ( 0.15 ) 0 ( 0 ) 1.18 ( 0.04 ) 0.93 6.39 0.04\n", + "5 50 100 0 4.3 ( 0.31 ) 0.24 ( 0.05 ) 1.05 ( 0.07 ) 0.52 10.06 0.37\n", + "6 100 100 0 1.02 ( 0.19 ) 0 ( 0 ) 0.94 ( 0.04 ) 0.85 7.02 0.11" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_ind)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_ind <- apply(table_ind,2,as.character)\n", + "rownames(result.table_ind) = rownames(table_ind)\n", + "result.table_ind = as.data.frame(result.table_ind)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_ind$n = tidyr::extract_numeric(result.table_ind$n)\n", + "result.table_ind$p = tidyr::extract_numeric(result.table_ind$p)\n", + "result.table_ind$ratio = result.table_ind$p / result.table_ind$n\n", + "\n", + "result.table_ind = result.table_ind[c('n', 'p', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_ind)[1:3] = c('N', 'P', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_ind$Stab = as.numeric(as.character(result.table_ind$Stab))\n", + "result.table_ind$MSE_mean = as.numeric(substr(result.table_ind$MSE, start=1, stop=4))\n", + "result.table_ind$FP_mean = as.numeric(substr(result.table_ind$FP, start=1, stop=4))\n", + "result.table_ind$FN_mean = as.numeric(substr(result.table_ind$FN, start=1, stop=4))\n", + "result.table_ind$FN_mean[is.na(result.table_ind$FN_mean)] = 0\n", + "result.table_ind$num_select = as.numeric(as.character(result.table_ind$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 1.00 0.61 0.8 ( 0.05 ) 2.99 ( 0.27 )0.05 ( 0.02 ) 8.94 0.28 0.80 2.99 0.05
    100 50 0.50 0.87 0.98 ( 0.06 )0.79 ( 0.15 )0 ( 0 ) 6.79 0.09 0.98 0.79 0.00
    500 50 0.10 0.91 1.08 ( 0.05 )0.51 ( 0.11 )0 ( 0 ) 6.51 0.06 1.08 0.51 0.00
    1000 50 0.05 0.93 1.18 ( 0.04 )0.39 ( 0.15 )0 ( 0 ) 6.39 0.04 1.18 0.39 0.00
    50 100 2.00 0.52 1.05 ( 0.07 )4.3 ( 0.31 ) 0.24 ( 0.05 )10.06 0.37 1.05 4.30 0.24
    100 100 1.00 0.85 0.94 ( 0.04 )1.02 ( 0.19 )0 ( 0 ) 7.02 0.11 0.94 1.02 0.00
    500 100 0.20 0.96 1.16 ( 0.04 )0.25 ( 0.09 )0 ( 0 ) 6.25 0.03 1.16 0.25 0.00
    1000 100 0.10 0.89 1.04 ( 0.05 )0.71 ( 0.15 )0 ( 0 ) 6.71 0.08 1.04 0.71 0.00
    50 500 10.00 0.38 2.18 ( 0.13 )5.53 ( 0.36 )1.27 ( 0.11 )10.26 0.48 2.18 5.53 1.27
    100 500 5.00 0.75 1 ( 0.05 ) 1.9 ( 0.29 ) 0.03 ( 0.02 ) 7.87 0.18 1.00 1.90 0.03
    500 500 1.00 0.96 1.18 ( 0.04 )0.27 ( 0.13 )0 ( 0 ) 6.27 0.03 1.18 0.27 0.00
    1000 500 0.50 0.96 1.24 ( 0.04 )0.25 ( 0.1 ) 0 ( 0 ) 6.25 0.03 1.24 0.25 0.00
    50 1000 20.00 0.32 3.09 ( 0.23 )5.56 ( 0.36 )1.95 ( 0.14 ) 9.61 0.51 3.09 5.56 1.95
    100 1000 10.00 0.67 1.1 ( 0.07 ) 2.8 ( 0.37 ) 0.04 ( 0.02 ) 8.76 0.24 1.10 2.80 0.04
    500 1000 2.00 0.96 1.12 ( 0.04 )0.27 ( 0.08 )0 ( 0 ) 6.27 0.03 1.12 0.27 0.00
    1000 1000 1.00 0.96 1.16 ( 0.04 )0.24 ( 0.07 )0 ( 0 ) 6.24 0.03 1.16 0.24 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.61 & 0.8 ( 0.05 ) & 2.99 ( 0.27 ) & 0.05 ( 0.02 ) & 8.94 & 0.28 & 0.80 & 2.99 & 0.05 \\\\\n", + "\t 100 & 50 & 0.50 & 0.87 & 0.98 ( 0.06 ) & 0.79 ( 0.15 ) & 0 ( 0 ) & 6.79 & 0.09 & 0.98 & 0.79 & 0.00 \\\\\n", + "\t 500 & 50 & 0.10 & 0.91 & 1.08 ( 0.05 ) & 0.51 ( 0.11 ) & 0 ( 0 ) & 6.51 & 0.06 & 1.08 & 0.51 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.93 & 1.18 ( 0.04 ) & 0.39 ( 0.15 ) & 0 ( 0 ) & 6.39 & 0.04 & 1.18 & 0.39 & 0.00 \\\\\n", + "\t 50 & 100 & 2.00 & 0.52 & 1.05 ( 0.07 ) & 4.3 ( 0.31 ) & 0.24 ( 0.05 ) & 10.06 & 0.37 & 1.05 & 4.30 & 0.24 \\\\\n", + "\t 100 & 100 & 1.00 & 0.85 & 0.94 ( 0.04 ) & 1.02 ( 0.19 ) & 0 ( 0 ) & 7.02 & 0.11 & 0.94 & 1.02 & 0.00 \\\\\n", + "\t 500 & 100 & 0.20 & 0.96 & 1.16 ( 0.04 ) & 0.25 ( 0.09 ) & 0 ( 0 ) & 6.25 & 0.03 & 1.16 & 0.25 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.89 & 1.04 ( 0.05 ) & 0.71 ( 0.15 ) & 0 ( 0 ) & 6.71 & 0.08 & 1.04 & 0.71 & 0.00 \\\\\n", + "\t 50 & 500 & 10.00 & 0.38 & 2.18 ( 0.13 ) & 5.53 ( 0.36 ) & 1.27 ( 0.11 ) & 10.26 & 0.48 & 2.18 & 5.53 & 1.27 \\\\\n", + "\t 100 & 500 & 5.00 & 0.75 & 1 ( 0.05 ) & 1.9 ( 0.29 ) & 0.03 ( 0.02 ) & 7.87 & 0.18 & 1.00 & 1.90 & 0.03 \\\\\n", + "\t 500 & 500 & 1.00 & 0.96 & 1.18 ( 0.04 ) & 0.27 ( 0.13 ) & 0 ( 0 ) & 6.27 & 0.03 & 1.18 & 0.27 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.96 & 1.24 ( 0.04 ) & 0.25 ( 0.1 ) & 0 ( 0 ) & 6.25 & 0.03 & 1.24 & 0.25 & 0.00 \\\\\n", + "\t 50 & 1000 & 20.00 & 0.32 & 3.09 ( 0.23 ) & 5.56 ( 0.36 ) & 1.95 ( 0.14 ) & 9.61 & 0.51 & 3.09 & 5.56 & 1.95 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.67 & 1.1 ( 0.07 ) & 2.8 ( 0.37 ) & 0.04 ( 0.02 ) & 8.76 & 0.24 & 1.10 & 2.80 & 0.04 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.96 & 1.12 ( 0.04 ) & 0.27 ( 0.08 ) & 0 ( 0 ) & 6.27 & 0.03 & 1.12 & 0.27 & 0.00 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.96 & 1.16 ( 0.04 ) & 0.24 ( 0.07 ) & 0 ( 0 ) & 6.24 & 0.03 & 1.16 & 0.24 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.61 | 0.8 ( 0.05 ) | 2.99 ( 0.27 ) | 0.05 ( 0.02 ) | 8.94 | 0.28 | 0.80 | 2.99 | 0.05 |\n", + "| 100 | 50 | 0.50 | 0.87 | 0.98 ( 0.06 ) | 0.79 ( 0.15 ) | 0 ( 0 ) | 6.79 | 0.09 | 0.98 | 0.79 | 0.00 |\n", + "| 500 | 50 | 0.10 | 0.91 | 1.08 ( 0.05 ) | 0.51 ( 0.11 ) | 0 ( 0 ) | 6.51 | 0.06 | 1.08 | 0.51 | 0.00 |\n", + "| 1000 | 50 | 0.05 | 0.93 | 1.18 ( 0.04 ) | 0.39 ( 0.15 ) | 0 ( 0 ) | 6.39 | 0.04 | 1.18 | 0.39 | 0.00 |\n", + "| 50 | 100 | 2.00 | 0.52 | 1.05 ( 0.07 ) | 4.3 ( 0.31 ) | 0.24 ( 0.05 ) | 10.06 | 0.37 | 1.05 | 4.30 | 0.24 |\n", + "| 100 | 100 | 1.00 | 0.85 | 0.94 ( 0.04 ) | 1.02 ( 0.19 ) | 0 ( 0 ) | 7.02 | 0.11 | 0.94 | 1.02 | 0.00 |\n", + "| 500 | 100 | 0.20 | 0.96 | 1.16 ( 0.04 ) | 0.25 ( 0.09 ) | 0 ( 0 ) | 6.25 | 0.03 | 1.16 | 0.25 | 0.00 |\n", + "| 1000 | 100 | 0.10 | 0.89 | 1.04 ( 0.05 ) | 0.71 ( 0.15 ) | 0 ( 0 ) | 6.71 | 0.08 | 1.04 | 0.71 | 0.00 |\n", + "| 50 | 500 | 10.00 | 0.38 | 2.18 ( 0.13 ) | 5.53 ( 0.36 ) | 1.27 ( 0.11 ) | 10.26 | 0.48 | 2.18 | 5.53 | 1.27 |\n", + "| 100 | 500 | 5.00 | 0.75 | 1 ( 0.05 ) | 1.9 ( 0.29 ) | 0.03 ( 0.02 ) | 7.87 | 0.18 | 1.00 | 1.90 | 0.03 |\n", + "| 500 | 500 | 1.00 | 0.96 | 1.18 ( 0.04 ) | 0.27 ( 0.13 ) | 0 ( 0 ) | 6.27 | 0.03 | 1.18 | 0.27 | 0.00 |\n", + "| 1000 | 500 | 0.50 | 0.96 | 1.24 ( 0.04 ) | 0.25 ( 0.1 ) | 0 ( 0 ) | 6.25 | 0.03 | 1.24 | 0.25 | 0.00 |\n", + "| 50 | 1000 | 20.00 | 0.32 | 3.09 ( 0.23 ) | 5.56 ( 0.36 ) | 1.95 ( 0.14 ) | 9.61 | 0.51 | 3.09 | 5.56 | 1.95 |\n", + "| 100 | 1000 | 10.00 | 0.67 | 1.1 ( 0.07 ) | 2.8 ( 0.37 ) | 0.04 ( 0.02 ) | 8.76 | 0.24 | 1.10 | 2.80 | 0.04 |\n", + "| 500 | 1000 | 2.00 | 0.96 | 1.12 ( 0.04 ) | 0.27 ( 0.08 ) | 0 ( 0 ) | 6.27 | 0.03 | 1.12 | 0.27 | 0.00 |\n", + "| 1000 | 1000 | 1.00 | 0.96 | 1.16 ( 0.04 ) | 0.24 ( 0.07 ) | 0 ( 0 ) | 6.24 | 0.03 | 1.16 | 0.24 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN num_select\n", + "1 50 50 1.00 0.61 0.8 ( 0.05 ) 2.99 ( 0.27 ) 0.05 ( 0.02 ) 8.94 \n", + "2 100 50 0.50 0.87 0.98 ( 0.06 ) 0.79 ( 0.15 ) 0 ( 0 ) 6.79 \n", + "3 500 50 0.10 0.91 1.08 ( 0.05 ) 0.51 ( 0.11 ) 0 ( 0 ) 6.51 \n", + "4 1000 50 0.05 0.93 1.18 ( 0.04 ) 0.39 ( 0.15 ) 0 ( 0 ) 6.39 \n", + "5 50 100 2.00 0.52 1.05 ( 0.07 ) 4.3 ( 0.31 ) 0.24 ( 0.05 ) 10.06 \n", + "6 100 100 1.00 0.85 0.94 ( 0.04 ) 1.02 ( 0.19 ) 0 ( 0 ) 7.02 \n", + "7 500 100 0.20 0.96 1.16 ( 0.04 ) 0.25 ( 0.09 ) 0 ( 0 ) 6.25 \n", + "8 1000 100 0.10 0.89 1.04 ( 0.05 ) 0.71 ( 0.15 ) 0 ( 0 ) 6.71 \n", + "9 50 500 10.00 0.38 2.18 ( 0.13 ) 5.53 ( 0.36 ) 1.27 ( 0.11 ) 10.26 \n", + "10 100 500 5.00 0.75 1 ( 0.05 ) 1.9 ( 0.29 ) 0.03 ( 0.02 ) 7.87 \n", + "11 500 500 1.00 0.96 1.18 ( 0.04 ) 0.27 ( 0.13 ) 0 ( 0 ) 6.27 \n", + "12 1000 500 0.50 0.96 1.24 ( 0.04 ) 0.25 ( 0.1 ) 0 ( 0 ) 6.25 \n", + "13 50 1000 20.00 0.32 3.09 ( 0.23 ) 5.56 ( 0.36 ) 1.95 ( 0.14 ) 9.61 \n", + "14 100 1000 10.00 0.67 1.1 ( 0.07 ) 2.8 ( 0.37 ) 0.04 ( 0.02 ) 8.76 \n", + "15 500 1000 2.00 0.96 1.12 ( 0.04 ) 0.27 ( 0.08 ) 0 ( 0 ) 6.27 \n", + "16 1000 1000 1.00 0.96 1.16 ( 0.04 ) 0.24 ( 0.07 ) 0 ( 0 ) 6.24 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.28 0.80 2.99 0.05 \n", + "2 0.09 0.98 0.79 0.00 \n", + "3 0.06 1.08 0.51 0.00 \n", + "4 0.04 1.18 0.39 0.00 \n", + "5 0.37 1.05 4.30 0.24 \n", + "6 0.11 0.94 1.02 0.00 \n", + "7 0.03 1.16 0.25 0.00 \n", + "8 0.08 1.04 0.71 0.00 \n", + "9 0.48 2.18 5.53 1.27 \n", + "10 0.18 1.00 1.90 0.03 \n", + "11 0.03 1.18 0.27 0.00 \n", + "12 0.03 1.24 0.25 0.00 \n", + "13 0.51 3.09 5.56 1.95 \n", + "14 0.24 1.10 2.80 0.04 \n", + "15 0.03 1.12 0.27 0.00 \n", + "16 0.03 1.16 0.24 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# fix missing values\n", + "result.table_ind$MSE_mean[is.na(result.table_ind$MSE_mean)] = 1\n", + "result.table_ind" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_ind, '../results_summary/sim_ind_compLasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Warning message:\n", + "“Removed 1 rows containing missing values (geom_point).”" + ] + }, + { + "data": { + "text/html": [ + "pdf: 2" + ], + "text/latex": [ + "\\textbf{pdf:} 2" + ], + "text/markdown": [ + "**pdf:** 2" + ], + "text/plain": [ + "pdf \n", + " 2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "pdf('../figures_sim/figure_independent_compLasso.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_stab = ggplot(result.table_ind, aes(x=P, y=Stab, color=N)) + geom_point() + ylab('Stability')\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point() + ylab('MSE')\n", + "fig_ind_fp = ggplot(result.table_ind, aes(x=P, y=FP_mean, color=N)) + geom_point() + ylab('False Positives')\n", + "fig_ind_fn = ggplot(result.table_ind, aes(x=P, y=FN_mean, color=N)) + geom_point() + ylab('False Negatives')\n", + "grid.arrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, top='Independent_compLasso')\n", + "dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_indepdent_elnet.ipynb b/simulations/notebooks_simulations/sim_indepdent_elnet.ipynb new file mode 100644 index 0000000..e1f30eb --- /dev/null +++ b/simulations/notebooks_simulations/sim_indepdent_elnet.ipynb @@ -0,0 +1,400 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/independent_Elnet.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "files = NULL\n", + "for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData'))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_ind_elnet[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "table_ind = NULL\n", + "tmp_num_select = rep(0, length(results_ind_elnet))\n", + "for (i in 1:length(results_ind_elnet)){\n", + " table_ind = rbind(table_ind, results_ind_elnet[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_ind_elnet[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_ind = as.data.frame(table_ind)\n", + "table_ind$num_select = tmp_num_select\n", + "table_ind$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0 14.99 ( 0.59 )0 ( 0 ) 0.53 ( 0.03 ) 0.2 19.99 0.67
    100 50 0 13.46 ( 0.55 )0 ( 0 ) 0.34 ( 0.01 ) 0.23 18.46 0.65
    500 50 0 13.65 ( 0.56 )0 ( 0 ) 0.26 ( 0 ) 0.23 18.65 0.64
    1000 50 0 11.76 ( 0.53 )0 ( 0 ) 0.25 ( 0 ) 0.27 16.76 0.60
    50 100 0 19.45 ( 0.66 )0.04 ( 0.02 ) 0.74 ( 0.06 ) 0.19 24.41 0.74
    100 100 0 19.2 ( 1.02 )0 ( 0 ) 0.38 ( 0.01 )0.2 24.20 0.71
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0 & 14.99 ( 0.59 ) & 0 ( 0 ) & 0.53 ( 0.03 ) & 0.2 & 19.99 & 0.67 \\\\\n", + "\t 100 & 50 & 0 & 13.46 ( 0.55 ) & 0 ( 0 ) & 0.34 ( 0.01 ) & 0.23 & 18.46 & 0.65 \\\\\n", + "\t 500 & 50 & 0 & 13.65 ( 0.56 ) & 0 ( 0 ) & 0.26 ( 0 ) & 0.23 & 18.65 & 0.64 \\\\\n", + "\t 1000 & 50 & 0 & 11.76 ( 0.53 ) & 0 ( 0 ) & 0.25 ( 0 ) & 0.27 & 16.76 & 0.60 \\\\\n", + "\t 50 & 100 & 0 & 19.45 ( 0.66 ) & 0.04 ( 0.02 ) & 0.74 ( 0.06 ) & 0.19 & 24.41 & 0.74 \\\\\n", + "\t 100 & 100 & 0 & 19.2 ( 1.02 ) & 0 ( 0 ) & 0.38 ( 0.01 ) & 0.2 & 24.20 & 0.71 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0 | 14.99 ( 0.59 ) | 0 ( 0 ) | 0.53 ( 0.03 ) | 0.2 | 19.99 | 0.67 |\n", + "| 100 | 50 | 0 | 13.46 ( 0.55 ) | 0 ( 0 ) | 0.34 ( 0.01 ) | 0.23 | 18.46 | 0.65 |\n", + "| 500 | 50 | 0 | 13.65 ( 0.56 ) | 0 ( 0 ) | 0.26 ( 0 ) | 0.23 | 18.65 | 0.64 |\n", + "| 1000 | 50 | 0 | 11.76 ( 0.53 ) | 0 ( 0 ) | 0.25 ( 0 ) | 0.27 | 16.76 | 0.60 |\n", + "| 50 | 100 | 0 | 19.45 ( 0.66 ) | 0.04 ( 0.02 ) | 0.74 ( 0.06 ) | 0.19 | 24.41 | 0.74 |\n", + "| 100 | 100 | 0 | 19.2 ( 1.02 ) | 0 ( 0 ) | 0.38 ( 0.01 ) | 0.2 | 24.20 | 0.71 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0 14.99 ( 0.59 ) 0 ( 0 ) 0.53 ( 0.03 ) 0.2 19.99 0.67\n", + "2 100 50 0 13.46 ( 0.55 ) 0 ( 0 ) 0.34 ( 0.01 ) 0.23 18.46 0.65\n", + "3 500 50 0 13.65 ( 0.56 ) 0 ( 0 ) 0.26 ( 0 ) 0.23 18.65 0.64\n", + "4 1000 50 0 11.76 ( 0.53 ) 0 ( 0 ) 0.25 ( 0 ) 0.27 16.76 0.60\n", + "5 50 100 0 19.45 ( 0.66 ) 0.04 ( 0.02 ) 0.74 ( 0.06 ) 0.19 24.41 0.74\n", + "6 100 100 0 19.2 ( 1.02 ) 0 ( 0 ) 0.38 ( 0.01 ) 0.2 24.20 0.71" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_ind)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_ind <- apply(table_ind,2,as.character)\n", + "rownames(result.table_ind) = rownames(table_ind)\n", + "result.table_ind = as.data.frame(result.table_ind)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_ind$n = tidyr::extract_numeric(result.table_ind$n)\n", + "result.table_ind$p = tidyr::extract_numeric(result.table_ind$p)\n", + "result.table_ind$ratio = result.table_ind$p / result.table_ind$n\n", + "\n", + "result.table_ind = result.table_ind[c('n', 'p', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_ind)[1:3] = c('N', 'P', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_ind$Stab = as.numeric(as.character(result.table_ind$Stab))\n", + "result.table_ind$MSE_mean = as.numeric(substr(result.table_ind$MSE, start=1, stop=4))\n", + "result.table_ind$FP_mean = as.numeric(substr(result.table_ind$FP, start=1, stop=4))\n", + "result.table_ind$FN_mean = as.numeric(substr(result.table_ind$FN, start=1, stop=4))\n", + "result.table_ind$FN_mean[is.na(result.table_ind$FN_mean)] = 0\n", + "result.table_ind$num_select = as.numeric(as.character(result.table_ind$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 1.00 0.20 0.53 ( 0.03 ) 14.99 ( 0.59 )0 ( 0 ) 19.99 0.67 0.53 14.9 0.00
    100 50 0.50 0.23 0.34 ( 0.01 ) 13.46 ( 0.55 )0 ( 0 ) 18.46 0.65 0.34 13.4 0.00
    500 50 0.10 0.23 0.26 ( 0 ) 13.65 ( 0.56 )0 ( 0 ) 18.65 0.64 0.26 13.6 0.00
    1000 50 0.05 0.27 0.25 ( 0 ) 11.76 ( 0.53 )0 ( 0 ) 16.76 0.6 0.25 11.7 0.00
    50 100 2.00 0.19 0.74 ( 0.06 ) 19.45 ( 0.66 )0.04 ( 0.02 ) 24.41 0.74 0.74 19.4 0.04
    100 100 1.00 0.20 0.38 ( 0.01 ) 19.2 ( 1.02 ) 0 ( 0 ) 24.20 0.71 0.38 19.2 0.00
    500 100 0.20 0.23 0.27 ( 0 ) 16.28 ( 0.78 )0 ( 0 ) 21.28 0.67 0.27 16.2 0.00
    1000 100 0.10 0.23 0.26 ( 0 ) 17.05 ( 0.76 )0 ( 0 ) 22.05 0.69 0.26 17.0 0.00
    50 500 10.00 0.13 1.65 ( 0.13 ) 30.38 ( 1.24 )0.58 ( 0.08 ) 34.80 0.83 1.65 30.3 0.58
    100 500 5.00 0.15 0.5 ( 0.02 ) 32.18 ( 1.44 )0 ( 0 ) 37.18 0.81 0.50 32.1 0.00
    500 500 1.00 0.16 0.28 ( 0 ) 29.79 ( 1.73 )0 ( 0 ) 34.79 0.78 0.28 29.7 0.00
    1000 500 0.50 0.18 0.26 ( 0 ) 27.21 ( 1.58 )0 ( 0 ) 32.21 0.77 0.26 27.2 0.00
    50 1000 20.00 0.10 2.5 ( 0.22 ) 36.6 ( 2.03 ) 1.12 ( 0.09 ) 40.48 0.86 2.50 36.6 1.12
    100 1000 10.00 0.13 0.56 ( 0.02 ) 40.61 ( 1.71 )0 ( 0 ) 45.61 0.85 0.56 40.6 0.00
    500 1000 2.00 0.14 0.27 ( 0 ) 35.98 ( 2.2 ) 0 ( 0 ) 40.98 0.8 0.27 35.9 0.00
    1000 1000 1.00 0.15 0.27 ( 0 ) 34.65 ( 2.02 )0 ( 0 ) 39.65 0.79 0.27 34.6 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.20 & 0.53 ( 0.03 ) & 14.99 ( 0.59 ) & 0 ( 0 ) & 19.99 & 0.67 & 0.53 & 14.9 & 0.00 \\\\\n", + "\t 100 & 50 & 0.50 & 0.23 & 0.34 ( 0.01 ) & 13.46 ( 0.55 ) & 0 ( 0 ) & 18.46 & 0.65 & 0.34 & 13.4 & 0.00 \\\\\n", + "\t 500 & 50 & 0.10 & 0.23 & 0.26 ( 0 ) & 13.65 ( 0.56 ) & 0 ( 0 ) & 18.65 & 0.64 & 0.26 & 13.6 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.27 & 0.25 ( 0 ) & 11.76 ( 0.53 ) & 0 ( 0 ) & 16.76 & 0.6 & 0.25 & 11.7 & 0.00 \\\\\n", + "\t 50 & 100 & 2.00 & 0.19 & 0.74 ( 0.06 ) & 19.45 ( 0.66 ) & 0.04 ( 0.02 ) & 24.41 & 0.74 & 0.74 & 19.4 & 0.04 \\\\\n", + "\t 100 & 100 & 1.00 & 0.20 & 0.38 ( 0.01 ) & 19.2 ( 1.02 ) & 0 ( 0 ) & 24.20 & 0.71 & 0.38 & 19.2 & 0.00 \\\\\n", + "\t 500 & 100 & 0.20 & 0.23 & 0.27 ( 0 ) & 16.28 ( 0.78 ) & 0 ( 0 ) & 21.28 & 0.67 & 0.27 & 16.2 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.23 & 0.26 ( 0 ) & 17.05 ( 0.76 ) & 0 ( 0 ) & 22.05 & 0.69 & 0.26 & 17.0 & 0.00 \\\\\n", + "\t 50 & 500 & 10.00 & 0.13 & 1.65 ( 0.13 ) & 30.38 ( 1.24 ) & 0.58 ( 0.08 ) & 34.80 & 0.83 & 1.65 & 30.3 & 0.58 \\\\\n", + "\t 100 & 500 & 5.00 & 0.15 & 0.5 ( 0.02 ) & 32.18 ( 1.44 ) & 0 ( 0 ) & 37.18 & 0.81 & 0.50 & 32.1 & 0.00 \\\\\n", + "\t 500 & 500 & 1.00 & 0.16 & 0.28 ( 0 ) & 29.79 ( 1.73 ) & 0 ( 0 ) & 34.79 & 0.78 & 0.28 & 29.7 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.18 & 0.26 ( 0 ) & 27.21 ( 1.58 ) & 0 ( 0 ) & 32.21 & 0.77 & 0.26 & 27.2 & 0.00 \\\\\n", + "\t 50 & 1000 & 20.00 & 0.10 & 2.5 ( 0.22 ) & 36.6 ( 2.03 ) & 1.12 ( 0.09 ) & 40.48 & 0.86 & 2.50 & 36.6 & 1.12 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.13 & 0.56 ( 0.02 ) & 40.61 ( 1.71 ) & 0 ( 0 ) & 45.61 & 0.85 & 0.56 & 40.6 & 0.00 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.14 & 0.27 ( 0 ) & 35.98 ( 2.2 ) & 0 ( 0 ) & 40.98 & 0.8 & 0.27 & 35.9 & 0.00 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.15 & 0.27 ( 0 ) & 34.65 ( 2.02 ) & 0 ( 0 ) & 39.65 & 0.79 & 0.27 & 34.6 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.20 | 0.53 ( 0.03 ) | 14.99 ( 0.59 ) | 0 ( 0 ) | 19.99 | 0.67 | 0.53 | 14.9 | 0.00 |\n", + "| 100 | 50 | 0.50 | 0.23 | 0.34 ( 0.01 ) | 13.46 ( 0.55 ) | 0 ( 0 ) | 18.46 | 0.65 | 0.34 | 13.4 | 0.00 |\n", + "| 500 | 50 | 0.10 | 0.23 | 0.26 ( 0 ) | 13.65 ( 0.56 ) | 0 ( 0 ) | 18.65 | 0.64 | 0.26 | 13.6 | 0.00 |\n", + "| 1000 | 50 | 0.05 | 0.27 | 0.25 ( 0 ) | 11.76 ( 0.53 ) | 0 ( 0 ) | 16.76 | 0.6 | 0.25 | 11.7 | 0.00 |\n", + "| 50 | 100 | 2.00 | 0.19 | 0.74 ( 0.06 ) | 19.45 ( 0.66 ) | 0.04 ( 0.02 ) | 24.41 | 0.74 | 0.74 | 19.4 | 0.04 |\n", + "| 100 | 100 | 1.00 | 0.20 | 0.38 ( 0.01 ) | 19.2 ( 1.02 ) | 0 ( 0 ) | 24.20 | 0.71 | 0.38 | 19.2 | 0.00 |\n", + "| 500 | 100 | 0.20 | 0.23 | 0.27 ( 0 ) | 16.28 ( 0.78 ) | 0 ( 0 ) | 21.28 | 0.67 | 0.27 | 16.2 | 0.00 |\n", + "| 1000 | 100 | 0.10 | 0.23 | 0.26 ( 0 ) | 17.05 ( 0.76 ) | 0 ( 0 ) | 22.05 | 0.69 | 0.26 | 17.0 | 0.00 |\n", + "| 50 | 500 | 10.00 | 0.13 | 1.65 ( 0.13 ) | 30.38 ( 1.24 ) | 0.58 ( 0.08 ) | 34.80 | 0.83 | 1.65 | 30.3 | 0.58 |\n", + "| 100 | 500 | 5.00 | 0.15 | 0.5 ( 0.02 ) | 32.18 ( 1.44 ) | 0 ( 0 ) | 37.18 | 0.81 | 0.50 | 32.1 | 0.00 |\n", + "| 500 | 500 | 1.00 | 0.16 | 0.28 ( 0 ) | 29.79 ( 1.73 ) | 0 ( 0 ) | 34.79 | 0.78 | 0.28 | 29.7 | 0.00 |\n", + "| 1000 | 500 | 0.50 | 0.18 | 0.26 ( 0 ) | 27.21 ( 1.58 ) | 0 ( 0 ) | 32.21 | 0.77 | 0.26 | 27.2 | 0.00 |\n", + "| 50 | 1000 | 20.00 | 0.10 | 2.5 ( 0.22 ) | 36.6 ( 2.03 ) | 1.12 ( 0.09 ) | 40.48 | 0.86 | 2.50 | 36.6 | 1.12 |\n", + "| 100 | 1000 | 10.00 | 0.13 | 0.56 ( 0.02 ) | 40.61 ( 1.71 ) | 0 ( 0 ) | 45.61 | 0.85 | 0.56 | 40.6 | 0.00 |\n", + "| 500 | 1000 | 2.00 | 0.14 | 0.27 ( 0 ) | 35.98 ( 2.2 ) | 0 ( 0 ) | 40.98 | 0.8 | 0.27 | 35.9 | 0.00 |\n", + "| 1000 | 1000 | 1.00 | 0.15 | 0.27 ( 0 ) | 34.65 ( 2.02 ) | 0 ( 0 ) | 39.65 | 0.79 | 0.27 | 34.6 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN num_select\n", + "1 50 50 1.00 0.20 0.53 ( 0.03 ) 14.99 ( 0.59 ) 0 ( 0 ) 19.99 \n", + "2 100 50 0.50 0.23 0.34 ( 0.01 ) 13.46 ( 0.55 ) 0 ( 0 ) 18.46 \n", + "3 500 50 0.10 0.23 0.26 ( 0 ) 13.65 ( 0.56 ) 0 ( 0 ) 18.65 \n", + "4 1000 50 0.05 0.27 0.25 ( 0 ) 11.76 ( 0.53 ) 0 ( 0 ) 16.76 \n", + "5 50 100 2.00 0.19 0.74 ( 0.06 ) 19.45 ( 0.66 ) 0.04 ( 0.02 ) 24.41 \n", + "6 100 100 1.00 0.20 0.38 ( 0.01 ) 19.2 ( 1.02 ) 0 ( 0 ) 24.20 \n", + "7 500 100 0.20 0.23 0.27 ( 0 ) 16.28 ( 0.78 ) 0 ( 0 ) 21.28 \n", + "8 1000 100 0.10 0.23 0.26 ( 0 ) 17.05 ( 0.76 ) 0 ( 0 ) 22.05 \n", + "9 50 500 10.00 0.13 1.65 ( 0.13 ) 30.38 ( 1.24 ) 0.58 ( 0.08 ) 34.80 \n", + "10 100 500 5.00 0.15 0.5 ( 0.02 ) 32.18 ( 1.44 ) 0 ( 0 ) 37.18 \n", + "11 500 500 1.00 0.16 0.28 ( 0 ) 29.79 ( 1.73 ) 0 ( 0 ) 34.79 \n", + "12 1000 500 0.50 0.18 0.26 ( 0 ) 27.21 ( 1.58 ) 0 ( 0 ) 32.21 \n", + "13 50 1000 20.00 0.10 2.5 ( 0.22 ) 36.6 ( 2.03 ) 1.12 ( 0.09 ) 40.48 \n", + "14 100 1000 10.00 0.13 0.56 ( 0.02 ) 40.61 ( 1.71 ) 0 ( 0 ) 45.61 \n", + "15 500 1000 2.00 0.14 0.27 ( 0 ) 35.98 ( 2.2 ) 0 ( 0 ) 40.98 \n", + "16 1000 1000 1.00 0.15 0.27 ( 0 ) 34.65 ( 2.02 ) 0 ( 0 ) 39.65 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.67 0.53 14.9 0.00 \n", + "2 0.65 0.34 13.4 0.00 \n", + "3 0.64 0.26 13.6 0.00 \n", + "4 0.6 0.25 11.7 0.00 \n", + "5 0.74 0.74 19.4 0.04 \n", + "6 0.71 0.38 19.2 0.00 \n", + "7 0.67 0.27 16.2 0.00 \n", + "8 0.69 0.26 17.0 0.00 \n", + "9 0.83 1.65 30.3 0.58 \n", + "10 0.81 0.50 32.1 0.00 \n", + "11 0.78 0.28 29.7 0.00 \n", + "12 0.77 0.26 27.2 0.00 \n", + "13 0.86 2.50 36.6 1.12 \n", + "14 0.85 0.56 40.6 0.00 \n", + "15 0.8 0.27 35.9 0.00 \n", + "16 0.79 0.27 34.6 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_ind\n", + "\n", + "## export\n", + "write.table(result.table_ind, '../results_summary/sim_ind_elnet.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n" + ] + }, + { + "data": { + "text/html": [ + "pdf: 2" + ], + "text/latex": [ + "\\textbf{pdf:} 2" + ], + "text/markdown": [ + "**pdf:** 2" + ], + "text/plain": [ + "pdf \n", + " 2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "pdf('../figures_sim/figure_independent_elnet.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_stab = ggplot(result.table_ind, aes(x=P, y=Stab, color=N)) + geom_point() + ylab('Stability')\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point() + ylab('MSE')\n", + "fig_ind_fp = ggplot(result.table_ind, aes(x=P, y=FP_mean, color=N)) + geom_point() + ylab('False Positives')\n", + "fig_ind_fn = ggplot(result.table_ind, aes(x=P, y=FN_mean, color=N)) + geom_point() + ylab('False Negatives')\n", + "grid.arrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, top='Independent_ElasticNet')\n", + "dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_indepdent_lasso.ipynb b/simulations/notebooks_simulations/sim_indepdent_lasso.ipynb new file mode 100644 index 0000000..11f71fa --- /dev/null +++ b/simulations/notebooks_simulations/sim_indepdent_lasso.ipynb @@ -0,0 +1,375 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/independent_Lasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "files = NULL\n", + "for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData'))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_ind_lasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}\n" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "table_ind = NULL\n", + "tmp_num_select = rep(0, length(results_ind_lasso))\n", + "for (i in 1:length(results_ind_lasso)){\n", + " table_ind = rbind(table_ind, results_ind_lasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_ind_lasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_ind = as.data.frame(table_ind)\n", + "table_ind$num_select = tmp_num_select\n", + "table_ind$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0 8.36 ( 0.45 )0.02 ( 0.01 )0.54 ( 0.03 )0.37 13.34 0.51
    100 50 0 5.5 ( 0.42 ) 0 ( 0 ) 0.36 ( 0.01 )0.51 10.50 0.37
    500 50 0 2.33 ( 0.14 )0 ( 0 ) 0.28 ( 0 ) 0.79 7.33 0.15
    1000 50 0 1.82 ( 0.13 )0 ( 0 ) 0.26 ( 0 ) 0.86 6.82 0.10
    50 100 0 11.1 ( 0.38 )0.08 ( 0.03 )0.66 ( 0.04 )0.32 16.02 0.61
    100 100 0 7.23 ( 0.4 ) 0 ( 0 ) 0.41 ( 0.01 )0.46 12.23 0.46
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0 & 8.36 ( 0.45 ) & 0.02 ( 0.01 ) & 0.54 ( 0.03 ) & 0.37 & 13.34 & 0.51 \\\\\n", + "\t 100 & 50 & 0 & 5.5 ( 0.42 ) & 0 ( 0 ) & 0.36 ( 0.01 ) & 0.51 & 10.50 & 0.37 \\\\\n", + "\t 500 & 50 & 0 & 2.33 ( 0.14 ) & 0 ( 0 ) & 0.28 ( 0 ) & 0.79 & 7.33 & 0.15 \\\\\n", + "\t 1000 & 50 & 0 & 1.82 ( 0.13 ) & 0 ( 0 ) & 0.26 ( 0 ) & 0.86 & 6.82 & 0.10 \\\\\n", + "\t 50 & 100 & 0 & 11.1 ( 0.38 ) & 0.08 ( 0.03 ) & 0.66 ( 0.04 ) & 0.32 & 16.02 & 0.61 \\\\\n", + "\t 100 & 100 & 0 & 7.23 ( 0.4 ) & 0 ( 0 ) & 0.41 ( 0.01 ) & 0.46 & 12.23 & 0.46 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0 | 8.36 ( 0.45 ) | 0.02 ( 0.01 ) | 0.54 ( 0.03 ) | 0.37 | 13.34 | 0.51 |\n", + "| 100 | 50 | 0 | 5.5 ( 0.42 ) | 0 ( 0 ) | 0.36 ( 0.01 ) | 0.51 | 10.50 | 0.37 |\n", + "| 500 | 50 | 0 | 2.33 ( 0.14 ) | 0 ( 0 ) | 0.28 ( 0 ) | 0.79 | 7.33 | 0.15 |\n", + "| 1000 | 50 | 0 | 1.82 ( 0.13 ) | 0 ( 0 ) | 0.26 ( 0 ) | 0.86 | 6.82 | 0.10 |\n", + "| 50 | 100 | 0 | 11.1 ( 0.38 ) | 0.08 ( 0.03 ) | 0.66 ( 0.04 ) | 0.32 | 16.02 | 0.61 |\n", + "| 100 | 100 | 0 | 7.23 ( 0.4 ) | 0 ( 0 ) | 0.41 ( 0.01 ) | 0.46 | 12.23 | 0.46 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0 8.36 ( 0.45 ) 0.02 ( 0.01 ) 0.54 ( 0.03 ) 0.37 13.34 0.51\n", + "2 100 50 0 5.5 ( 0.42 ) 0 ( 0 ) 0.36 ( 0.01 ) 0.51 10.50 0.37\n", + "3 500 50 0 2.33 ( 0.14 ) 0 ( 0 ) 0.28 ( 0 ) 0.79 7.33 0.15\n", + "4 1000 50 0 1.82 ( 0.13 ) 0 ( 0 ) 0.26 ( 0 ) 0.86 6.82 0.10\n", + "5 50 100 0 11.1 ( 0.38 ) 0.08 ( 0.03 ) 0.66 ( 0.04 ) 0.32 16.02 0.61\n", + "6 100 100 0 7.23 ( 0.4 ) 0 ( 0 ) 0.41 ( 0.01 ) 0.46 12.23 0.46" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_ind)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_ind <- apply(table_ind,2,as.character)\n", + "rownames(result.table_ind) = rownames(table_ind)\n", + "result.table_ind = as.data.frame(result.table_ind)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_ind$n = tidyr::extract_numeric(result.table_ind$n)\n", + "result.table_ind$p = tidyr::extract_numeric(result.table_ind$p)\n", + "result.table_ind$ratio = result.table_ind$p / result.table_ind$n\n", + "\n", + "result.table_ind = result.table_ind[c('n', 'p', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_ind)[1:3] = c('N', 'P', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_ind$Stab = as.numeric(as.character(result.table_ind$Stab))\n", + "result.table_ind$MSE_mean = as.numeric(substr(result.table_ind$MSE, start=1, stop=4))\n", + "result.table_ind$FP_mean = as.numeric(substr(result.table_ind$FP, start=1, stop=4))\n", + "result.table_ind$FN_mean = as.numeric(substr(result.table_ind$FN, start=1, stop=4))\n", + "result.table_ind$FN_mean[is.na(result.table_ind$FN_mean)] = 0\n", + "result.table_ind$num_select = as.numeric(as.character(result.table_ind$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 1.00 0.37 0.54 ( 0.03 ) 8.36 ( 0.45 ) 0.02 ( 0.01 ) 13.34 0.51 0.54 8.36 0.02
    100 50 0.50 0.51 0.36 ( 0.01 ) 5.5 ( 0.42 ) 0 ( 0 ) 10.50 0.37 0.36 5.50 0.00
    500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 ) 0 ( 0 ) 7.33 0.15 0.28 2.33 0.00
    1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 ) 0 ( 0 ) 6.82 0.1 0.26 1.82 0.00
    50 100 2.00 0.32 0.66 ( 0.04 ) 11.1 ( 0.38 ) 0.08 ( 0.03 ) 16.02 0.61 0.66 11.10 0.08
    100 100 1.00 0.46 0.41 ( 0.01 ) 7.23 ( 0.4 ) 0 ( 0 ) 12.23 0.46 0.41 7.23 0.00
    500 100 0.20 0.71 0.29 ( 0 ) 3.26 ( 0.25 ) 0 ( 0 ) 8.26 0.22 0.29 3.26 0.00
    1000 100 0.10 0.82 0.27 ( 0 ) 2.25 ( 0.15 ) 0 ( 0 ) 7.25 0.15 0.27 2.25 0.00
    50 500 10.00 0.19 1.41 ( 0.11 ) 19.89 ( 0.38 )0.64 ( 0.08 ) 24.25 0.77 1.41 19.80 0.64
    100 500 5.00 0.30 0.48 ( 0.02 ) 14.71 ( 0.7 ) 0 ( 0 ) 19.71 0.66 0.48 14.70 0.00
    500 500 1.00 0.61 0.28 ( 0 ) 4.82 ( 0.34 ) 0 ( 0 ) 9.82 0.32 0.28 4.82 0.00
    1000 500 0.50 0.72 0.27 ( 0 ) 3.35 ( 0.32 ) 0 ( 0 ) 8.35 0.21 0.27 3.35 0.00
    50 1000 20.00 0.14 2.24 ( 0.19 ) 23.95 ( 0.37 )1.19 ( 0.09 ) 27.76 0.82 2.24 23.90 1.19
    100 1000 10.00 0.25 0.53 ( 0.02 ) 18.53 ( 0.59 )0 ( 0 ) 23.53 0.73 0.53 18.50 0.00
    500 1000 2.00 0.52 0.29 ( 0 ) 6.51 ( 0.45 ) 0 ( 0 ) 11.51 0.4 0.29 6.51 0.00
    1000 1000 1.00 0.64 0.27 ( 0 ) 4.39 ( 0.56 ) 0 ( 0 ) 9.39 0.26 0.27 4.39 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.37 & 0.54 ( 0.03 ) & 8.36 ( 0.45 ) & 0.02 ( 0.01 ) & 13.34 & 0.51 & 0.54 & 8.36 & 0.02 \\\\\n", + "\t 100 & 50 & 0.50 & 0.51 & 0.36 ( 0.01 ) & 5.5 ( 0.42 ) & 0 ( 0 ) & 10.50 & 0.37 & 0.36 & 5.50 & 0.00 \\\\\n", + "\t 500 & 50 & 0.10 & 0.79 & 0.28 ( 0 ) & 2.33 ( 0.14 ) & 0 ( 0 ) & 7.33 & 0.15 & 0.28 & 2.33 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.86 & 0.26 ( 0 ) & 1.82 ( 0.13 ) & 0 ( 0 ) & 6.82 & 0.1 & 0.26 & 1.82 & 0.00 \\\\\n", + "\t 50 & 100 & 2.00 & 0.32 & 0.66 ( 0.04 ) & 11.1 ( 0.38 ) & 0.08 ( 0.03 ) & 16.02 & 0.61 & 0.66 & 11.10 & 0.08 \\\\\n", + "\t 100 & 100 & 1.00 & 0.46 & 0.41 ( 0.01 ) & 7.23 ( 0.4 ) & 0 ( 0 ) & 12.23 & 0.46 & 0.41 & 7.23 & 0.00 \\\\\n", + "\t 500 & 100 & 0.20 & 0.71 & 0.29 ( 0 ) & 3.26 ( 0.25 ) & 0 ( 0 ) & 8.26 & 0.22 & 0.29 & 3.26 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.82 & 0.27 ( 0 ) & 2.25 ( 0.15 ) & 0 ( 0 ) & 7.25 & 0.15 & 0.27 & 2.25 & 0.00 \\\\\n", + "\t 50 & 500 & 10.00 & 0.19 & 1.41 ( 0.11 ) & 19.89 ( 0.38 ) & 0.64 ( 0.08 ) & 24.25 & 0.77 & 1.41 & 19.80 & 0.64 \\\\\n", + "\t 100 & 500 & 5.00 & 0.30 & 0.48 ( 0.02 ) & 14.71 ( 0.7 ) & 0 ( 0 ) & 19.71 & 0.66 & 0.48 & 14.70 & 0.00 \\\\\n", + "\t 500 & 500 & 1.00 & 0.61 & 0.28 ( 0 ) & 4.82 ( 0.34 ) & 0 ( 0 ) & 9.82 & 0.32 & 0.28 & 4.82 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.72 & 0.27 ( 0 ) & 3.35 ( 0.32 ) & 0 ( 0 ) & 8.35 & 0.21 & 0.27 & 3.35 & 0.00 \\\\\n", + "\t 50 & 1000 & 20.00 & 0.14 & 2.24 ( 0.19 ) & 23.95 ( 0.37 ) & 1.19 ( 0.09 ) & 27.76 & 0.82 & 2.24 & 23.90 & 1.19 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.25 & 0.53 ( 0.02 ) & 18.53 ( 0.59 ) & 0 ( 0 ) & 23.53 & 0.73 & 0.53 & 18.50 & 0.00 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.52 & 0.29 ( 0 ) & 6.51 ( 0.45 ) & 0 ( 0 ) & 11.51 & 0.4 & 0.29 & 6.51 & 0.00 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.64 & 0.27 ( 0 ) & 4.39 ( 0.56 ) & 0 ( 0 ) & 9.39 & 0.26 & 0.27 & 4.39 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.37 | 0.54 ( 0.03 ) | 8.36 ( 0.45 ) | 0.02 ( 0.01 ) | 13.34 | 0.51 | 0.54 | 8.36 | 0.02 |\n", + "| 100 | 50 | 0.50 | 0.51 | 0.36 ( 0.01 ) | 5.5 ( 0.42 ) | 0 ( 0 ) | 10.50 | 0.37 | 0.36 | 5.50 | 0.00 |\n", + "| 500 | 50 | 0.10 | 0.79 | 0.28 ( 0 ) | 2.33 ( 0.14 ) | 0 ( 0 ) | 7.33 | 0.15 | 0.28 | 2.33 | 0.00 |\n", + "| 1000 | 50 | 0.05 | 0.86 | 0.26 ( 0 ) | 1.82 ( 0.13 ) | 0 ( 0 ) | 6.82 | 0.1 | 0.26 | 1.82 | 0.00 |\n", + "| 50 | 100 | 2.00 | 0.32 | 0.66 ( 0.04 ) | 11.1 ( 0.38 ) | 0.08 ( 0.03 ) | 16.02 | 0.61 | 0.66 | 11.10 | 0.08 |\n", + "| 100 | 100 | 1.00 | 0.46 | 0.41 ( 0.01 ) | 7.23 ( 0.4 ) | 0 ( 0 ) | 12.23 | 0.46 | 0.41 | 7.23 | 0.00 |\n", + "| 500 | 100 | 0.20 | 0.71 | 0.29 ( 0 ) | 3.26 ( 0.25 ) | 0 ( 0 ) | 8.26 | 0.22 | 0.29 | 3.26 | 0.00 |\n", + "| 1000 | 100 | 0.10 | 0.82 | 0.27 ( 0 ) | 2.25 ( 0.15 ) | 0 ( 0 ) | 7.25 | 0.15 | 0.27 | 2.25 | 0.00 |\n", + "| 50 | 500 | 10.00 | 0.19 | 1.41 ( 0.11 ) | 19.89 ( 0.38 ) | 0.64 ( 0.08 ) | 24.25 | 0.77 | 1.41 | 19.80 | 0.64 |\n", + "| 100 | 500 | 5.00 | 0.30 | 0.48 ( 0.02 ) | 14.71 ( 0.7 ) | 0 ( 0 ) | 19.71 | 0.66 | 0.48 | 14.70 | 0.00 |\n", + "| 500 | 500 | 1.00 | 0.61 | 0.28 ( 0 ) | 4.82 ( 0.34 ) | 0 ( 0 ) | 9.82 | 0.32 | 0.28 | 4.82 | 0.00 |\n", + "| 1000 | 500 | 0.50 | 0.72 | 0.27 ( 0 ) | 3.35 ( 0.32 ) | 0 ( 0 ) | 8.35 | 0.21 | 0.27 | 3.35 | 0.00 |\n", + "| 50 | 1000 | 20.00 | 0.14 | 2.24 ( 0.19 ) | 23.95 ( 0.37 ) | 1.19 ( 0.09 ) | 27.76 | 0.82 | 2.24 | 23.90 | 1.19 |\n", + "| 100 | 1000 | 10.00 | 0.25 | 0.53 ( 0.02 ) | 18.53 ( 0.59 ) | 0 ( 0 ) | 23.53 | 0.73 | 0.53 | 18.50 | 0.00 |\n", + "| 500 | 1000 | 2.00 | 0.52 | 0.29 ( 0 ) | 6.51 ( 0.45 ) | 0 ( 0 ) | 11.51 | 0.4 | 0.29 | 6.51 | 0.00 |\n", + "| 1000 | 1000 | 1.00 | 0.64 | 0.27 ( 0 ) | 4.39 ( 0.56 ) | 0 ( 0 ) | 9.39 | 0.26 | 0.27 | 4.39 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN num_select\n", + "1 50 50 1.00 0.37 0.54 ( 0.03 ) 8.36 ( 0.45 ) 0.02 ( 0.01 ) 13.34 \n", + "2 100 50 0.50 0.51 0.36 ( 0.01 ) 5.5 ( 0.42 ) 0 ( 0 ) 10.50 \n", + "3 500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 ) 0 ( 0 ) 7.33 \n", + "4 1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 ) 0 ( 0 ) 6.82 \n", + "5 50 100 2.00 0.32 0.66 ( 0.04 ) 11.1 ( 0.38 ) 0.08 ( 0.03 ) 16.02 \n", + "6 100 100 1.00 0.46 0.41 ( 0.01 ) 7.23 ( 0.4 ) 0 ( 0 ) 12.23 \n", + "7 500 100 0.20 0.71 0.29 ( 0 ) 3.26 ( 0.25 ) 0 ( 0 ) 8.26 \n", + "8 1000 100 0.10 0.82 0.27 ( 0 ) 2.25 ( 0.15 ) 0 ( 0 ) 7.25 \n", + "9 50 500 10.00 0.19 1.41 ( 0.11 ) 19.89 ( 0.38 ) 0.64 ( 0.08 ) 24.25 \n", + "10 100 500 5.00 0.30 0.48 ( 0.02 ) 14.71 ( 0.7 ) 0 ( 0 ) 19.71 \n", + "11 500 500 1.00 0.61 0.28 ( 0 ) 4.82 ( 0.34 ) 0 ( 0 ) 9.82 \n", + "12 1000 500 0.50 0.72 0.27 ( 0 ) 3.35 ( 0.32 ) 0 ( 0 ) 8.35 \n", + "13 50 1000 20.00 0.14 2.24 ( 0.19 ) 23.95 ( 0.37 ) 1.19 ( 0.09 ) 27.76 \n", + "14 100 1000 10.00 0.25 0.53 ( 0.02 ) 18.53 ( 0.59 ) 0 ( 0 ) 23.53 \n", + "15 500 1000 2.00 0.52 0.29 ( 0 ) 6.51 ( 0.45 ) 0 ( 0 ) 11.51 \n", + "16 1000 1000 1.00 0.64 0.27 ( 0 ) 4.39 ( 0.56 ) 0 ( 0 ) 9.39 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.51 0.54 8.36 0.02 \n", + "2 0.37 0.36 5.50 0.00 \n", + "3 0.15 0.28 2.33 0.00 \n", + "4 0.1 0.26 1.82 0.00 \n", + "5 0.61 0.66 11.10 0.08 \n", + "6 0.46 0.41 7.23 0.00 \n", + "7 0.22 0.29 3.26 0.00 \n", + "8 0.15 0.27 2.25 0.00 \n", + "9 0.77 1.41 19.80 0.64 \n", + "10 0.66 0.48 14.70 0.00 \n", + "11 0.32 0.28 4.82 0.00 \n", + "12 0.21 0.27 3.35 0.00 \n", + "13 0.82 2.24 23.90 1.19 \n", + "14 0.73 0.53 18.50 0.00 \n", + "15 0.4 0.29 6.51 0.00 \n", + "16 0.26 0.27 4.39 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_ind\n", + "\n", + "## export\n", + "write.table(result.table_ind, '../results_summary/sim_ind_lasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "pdf: 2" + ], + "text/latex": [ + "\\textbf{pdf:} 2" + ], + "text/markdown": [ + "**pdf:** 2" + ], + "text/plain": [ + "pdf \n", + " 2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "pdf('../figures_sim/figure_independent_lasso.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_stab = ggplot(result.table_ind, aes(x=P, y=Stab, color=N)) + geom_point() + ylab('Stability')\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point() + ylab('MSE')\n", + "fig_ind_fp = ggplot(result.table_ind, aes(x=P, y=FP_mean, color=N)) + geom_point() + ylab('False Positives')\n", + "fig_ind_fn = ggplot(result.table_ind, aes(x=P, y=FN_mean, color=N)) + geom_point() + ylab('False Negatives')\n", + "grid.arrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, top='Independent_Lasso')\n", + "dev.off()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_indepdent_rf.ipynb b/simulations/notebooks_simulations/sim_indepdent_rf.ipynb new file mode 100644 index 0000000..5f79fe5 --- /dev/null +++ b/simulations/notebooks_simulations/sim_indepdent_rf.ipynb @@ -0,0 +1,594 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/independent_RF.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "files = NULL\n", + "for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData'))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_ind_rf[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [], + "source": [ + "table_ind = NULL\n", + "tmp_num_select = rep(0, length(results_ind_rf))\n", + "for (i in 1:length(results_ind_rf)){\n", + " results_ind_rf[[i]]$OOB = paste(round(mean(results_ind_rf[[i]]$OOB.list, na.rm=T),2),\n", + " '(', round(FSA::se(results_ind_rf[[i]]$OOB.list, na.rm=T),2), ')')\n", + " table_ind = rbind(table_ind, results_ind_rf[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab', 'OOB')])\n", + " tmp_num_select[i] = mean(rowSums(results_ind_rf[[i]]$Stab.table))\n", + "}\n", + "table_ind = as.data.frame(table_ind)\n", + "table_ind$num_select = tmp_num_select\n", + "table_ind$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabOOBnum_selectFDR
    50 50 0 1 ( 0 ) 6 ( 0 ) 1.31 ( 0.06 )NaN 2.09 ( 0.02 )0.00 NaN
    100 50 0 1.85 ( 0.11 )4.11 ( 0.1 ) 0.85 ( 0.02 )0.18 1.79 ( 0.01 )3.74 0.48
    500 50 0 0.3 ( 0.05 ) 1.61 ( 0.08 )0.47 ( 0.01 )0.8 1.31 ( 0 ) 4.69 0.05
    1000 50 0 0.07 ( 0.03 )0.78 ( 0.07 )0.35 ( 0 ) 0.88 1.17 ( 0 ) 5.29 0.01
    50 100 0 1 ( 0 ) 6 ( 0 ) 1.32 ( 0.05 )NaN 2.23 ( 0.02 )0.00 NaN
    100 100 0 4.33 ( 0.22 )4.45 ( 0.09 )0.91 ( 0.03 )0.08 2.02 ( 0.01 )5.88 0.72
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & OOB & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0 & 1 ( 0 ) & 6 ( 0 ) & 1.31 ( 0.06 ) & NaN & 2.09 ( 0.02 ) & 0.00 & NaN \\\\\n", + "\t 100 & 50 & 0 & 1.85 ( 0.11 ) & 4.11 ( 0.1 ) & 0.85 ( 0.02 ) & 0.18 & 1.79 ( 0.01 ) & 3.74 & 0.48 \\\\\n", + "\t 500 & 50 & 0 & 0.3 ( 0.05 ) & 1.61 ( 0.08 ) & 0.47 ( 0.01 ) & 0.8 & 1.31 ( 0 ) & 4.69 & 0.05 \\\\\n", + "\t 1000 & 50 & 0 & 0.07 ( 0.03 ) & 0.78 ( 0.07 ) & 0.35 ( 0 ) & 0.88 & 1.17 ( 0 ) & 5.29 & 0.01 \\\\\n", + "\t 50 & 100 & 0 & 1 ( 0 ) & 6 ( 0 ) & 1.32 ( 0.05 ) & NaN & 2.23 ( 0.02 ) & 0.00 & NaN \\\\\n", + "\t 100 & 100 & 0 & 4.33 ( 0.22 ) & 4.45 ( 0.09 ) & 0.91 ( 0.03 ) & 0.08 & 2.02 ( 0.01 ) & 5.88 & 0.72 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | OOB | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0 | 1 ( 0 ) | 6 ( 0 ) | 1.31 ( 0.06 ) | NaN | 2.09 ( 0.02 ) | 0.00 | NaN |\n", + "| 100 | 50 | 0 | 1.85 ( 0.11 ) | 4.11 ( 0.1 ) | 0.85 ( 0.02 ) | 0.18 | 1.79 ( 0.01 ) | 3.74 | 0.48 |\n", + "| 500 | 50 | 0 | 0.3 ( 0.05 ) | 1.61 ( 0.08 ) | 0.47 ( 0.01 ) | 0.8 | 1.31 ( 0 ) | 4.69 | 0.05 |\n", + "| 1000 | 50 | 0 | 0.07 ( 0.03 ) | 0.78 ( 0.07 ) | 0.35 ( 0 ) | 0.88 | 1.17 ( 0 ) | 5.29 | 0.01 |\n", + "| 50 | 100 | 0 | 1 ( 0 ) | 6 ( 0 ) | 1.32 ( 0.05 ) | NaN | 2.23 ( 0.02 ) | 0.00 | NaN |\n", + "| 100 | 100 | 0 | 4.33 ( 0.22 ) | 4.45 ( 0.09 ) | 0.91 ( 0.03 ) | 0.08 | 2.02 ( 0.01 ) | 5.88 | 0.72 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab OOB \n", + "1 50 50 0 1 ( 0 ) 6 ( 0 ) 1.31 ( 0.06 ) NaN 2.09 ( 0.02 )\n", + "2 100 50 0 1.85 ( 0.11 ) 4.11 ( 0.1 ) 0.85 ( 0.02 ) 0.18 1.79 ( 0.01 )\n", + "3 500 50 0 0.3 ( 0.05 ) 1.61 ( 0.08 ) 0.47 ( 0.01 ) 0.8 1.31 ( 0 ) \n", + "4 1000 50 0 0.07 ( 0.03 ) 0.78 ( 0.07 ) 0.35 ( 0 ) 0.88 1.17 ( 0 ) \n", + "5 50 100 0 1 ( 0 ) 6 ( 0 ) 1.32 ( 0.05 ) NaN 2.23 ( 0.02 )\n", + "6 100 100 0 4.33 ( 0.22 ) 4.45 ( 0.09 ) 0.91 ( 0.03 ) 0.08 2.02 ( 0.01 )\n", + " num_select FDR \n", + "1 0.00 NaN\n", + "2 3.74 0.48\n", + "3 4.69 0.05\n", + "4 5.29 0.01\n", + "5 0.00 NaN\n", + "6 5.88 0.72" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_ind)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_ind <- apply(table_ind,2,as.character)\n", + "rownames(result.table_ind) = rownames(table_ind)\n", + "result.table_ind = as.data.frame(result.table_ind)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_ind$n = tidyr::extract_numeric(result.table_ind$n)\n", + "result.table_ind$p = tidyr::extract_numeric(result.table_ind$p)\n", + "result.table_ind$ratio = result.table_ind$p / result.table_ind$n\n", + "\n", + "result.table_ind = result.table_ind[c('n', 'p', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'OOB', 'num_select', 'FDR')]\n", + "colnames(result.table_ind)[1:3] = c('N', 'P', 'Ratio')\n", + "result.table_ind$Index = seq(1, length(results_ind_rf), 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_ind$Stab = as.numeric(as.character(result.table_ind$Stab))\n", + "result.table_ind$MSE_mean = as.numeric(substr(result.table_ind$MSE, start=1, stop=4))\n", + "result.table_ind$FP_mean = as.numeric(substr(result.table_ind$FP, start=1, stop=4))\n", + "result.table_ind$FN_mean = as.numeric(substr(result.table_ind$FN, start=1, stop=4))\n", + "result.table_ind$OOB_mean = as.numeric(substr(result.table_ind$OOB, start=1, stop=4))\n", + "result.table_ind$num_select = as.numeric(as.character(result.table_ind$num_select))\n", + "#result.table_ind$FDR = as.numeric(as.character(result.table_ind$FDR))" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNOOBnum_selectFDRIndexMSE_meanFP_meanFN_meanOOB_mean
    50 50 1.00 NaN 1.31 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 2.09 ( 0.02 ) 0.00 NaN 1 1.31 NA NA 2.09
    100 50 0.50 0.18 0.85 ( 0.02 ) 1.85 ( 0.11 ) 4.11 ( 0.1 ) 1.79 ( 0.01 ) 3.74 0.48 2 0.85 1.85 4.11 1.79
    500 50 0.10 0.80 0.47 ( 0.01 ) 0.3 ( 0.05 ) 1.61 ( 0.08 ) 1.31 ( 0 ) 4.69 0.05 3 0.47 0.30 1.61 1.31
    1000 50 0.05 0.88 0.35 ( 0 ) 0.07 ( 0.03 ) 0.78 ( 0.07 ) 1.17 ( 0 ) 5.29 0.01 4 0.35 0.07 0.78 1.17
    50 100 2.00 NaN 1.32 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.23 ( 0.02 ) 0.00 NaN 5 1.32 NA NA 2.23
    100 100 1.00 0.08 0.91 ( 0.03 ) 4.33 ( 0.22 ) 4.45 ( 0.09 ) 2.02 ( 0.01 ) 5.88 0.72 6 0.91 4.33 4.45 2.02
    500 100 0.20 0.60 0.59 ( 0.01 ) 1.91 ( 0.15 ) 1.41 ( 0.07 ) 1.54 ( 0 ) 6.50 0.27 7 0.59 1.91 1.41 1.54
    1000 100 0.10 0.81 0.47 ( 0 ) 0.71 ( 0.09 ) 0.53 ( 0.06 ) 1.39 ( 0 ) 6.18 0.1 8 0.47 0.71 0.53 1.39
    50 500 10.00 NaN 1.33 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.48 ( 0.03 ) 0.00 NaN 9 1.33 NA NA 2.48
    100 500 5.00 0.02 1.07 ( 0.03 ) 23.8 ( 0.52 ) 4.26 ( 0.1 ) 2.43 ( 0.02 ) 25.54 0.93 10 1.07 23.80 4.26 2.43
    500 500 1.00 0.14 0.84 ( 0.01 ) 19.92 ( 0.41 )1.71 ( 0.08 ) 2.14 ( 0.01 ) 24.21 0.82 11 0.84 19.90 1.71 2.14
    1000 500 0.50 0.19 0.78 ( 0.01 ) 18.73 ( 0.42 )0.84 ( 0.06 ) 2.06 ( 0 ) 23.89 0.78 12 0.78 18.70 0.84 2.06
    50 1000 20.00 NaN 1.31 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.48 ( 0.03 ) 0.00 NaN 13 1.31 NA NA 2.48
    100 1000 10.00 0.01 1.06 ( 0.03 ) 48.48 ( 0.63 )4.33 ( 0.1 ) 2.43 ( 0.02 ) 50.15 0.97 14 1.06 48.40 4.33 2.43
    500 1000 2.00 0.06 0.89 ( 0.01 ) 44.77 ( 0.71 )1.81 ( 0.1 ) 2.3 ( 0.01 ) 48.96 0.91 15 0.89 44.70 1.81 2.30
    1000 1000 1.00 0.09 0.85 ( 0.01 ) 41.77 ( 0.68 )0.99 ( 0.07 ) 2.25 ( 0.01 ) 46.78 0.89 16 0.85 41.70 0.99 2.25
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & Index & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & NaN & 1.31 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.09 ( 0.02 ) & 0.00 & NaN & 1 & 1.31 & NA & NA & 2.09 \\\\\n", + "\t 100 & 50 & 0.50 & 0.18 & 0.85 ( 0.02 ) & 1.85 ( 0.11 ) & 4.11 ( 0.1 ) & 1.79 ( 0.01 ) & 3.74 & 0.48 & 2 & 0.85 & 1.85 & 4.11 & 1.79 \\\\\n", + "\t 500 & 50 & 0.10 & 0.80 & 0.47 ( 0.01 ) & 0.3 ( 0.05 ) & 1.61 ( 0.08 ) & 1.31 ( 0 ) & 4.69 & 0.05 & 3 & 0.47 & 0.30 & 1.61 & 1.31 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.88 & 0.35 ( 0 ) & 0.07 ( 0.03 ) & 0.78 ( 0.07 ) & 1.17 ( 0 ) & 5.29 & 0.01 & 4 & 0.35 & 0.07 & 0.78 & 1.17 \\\\\n", + "\t 50 & 100 & 2.00 & NaN & 1.32 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.23 ( 0.02 ) & 0.00 & NaN & 5 & 1.32 & NA & NA & 2.23 \\\\\n", + "\t 100 & 100 & 1.00 & 0.08 & 0.91 ( 0.03 ) & 4.33 ( 0.22 ) & 4.45 ( 0.09 ) & 2.02 ( 0.01 ) & 5.88 & 0.72 & 6 & 0.91 & 4.33 & 4.45 & 2.02 \\\\\n", + "\t 500 & 100 & 0.20 & 0.60 & 0.59 ( 0.01 ) & 1.91 ( 0.15 ) & 1.41 ( 0.07 ) & 1.54 ( 0 ) & 6.50 & 0.27 & 7 & 0.59 & 1.91 & 1.41 & 1.54 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.81 & 0.47 ( 0 ) & 0.71 ( 0.09 ) & 0.53 ( 0.06 ) & 1.39 ( 0 ) & 6.18 & 0.1 & 8 & 0.47 & 0.71 & 0.53 & 1.39 \\\\\n", + "\t 50 & 500 & 10.00 & NaN & 1.33 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.48 ( 0.03 ) & 0.00 & NaN & 9 & 1.33 & NA & NA & 2.48 \\\\\n", + "\t 100 & 500 & 5.00 & 0.02 & 1.07 ( 0.03 ) & 23.8 ( 0.52 ) & 4.26 ( 0.1 ) & 2.43 ( 0.02 ) & 25.54 & 0.93 & 10 & 1.07 & 23.80 & 4.26 & 2.43 \\\\\n", + "\t 500 & 500 & 1.00 & 0.14 & 0.84 ( 0.01 ) & 19.92 ( 0.41 ) & 1.71 ( 0.08 ) & 2.14 ( 0.01 ) & 24.21 & 0.82 & 11 & 0.84 & 19.90 & 1.71 & 2.14 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.19 & 0.78 ( 0.01 ) & 18.73 ( 0.42 ) & 0.84 ( 0.06 ) & 2.06 ( 0 ) & 23.89 & 0.78 & 12 & 0.78 & 18.70 & 0.84 & 2.06 \\\\\n", + "\t 50 & 1000 & 20.00 & NaN & 1.31 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.48 ( 0.03 ) & 0.00 & NaN & 13 & 1.31 & NA & NA & 2.48 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.01 & 1.06 ( 0.03 ) & 48.48 ( 0.63 ) & 4.33 ( 0.1 ) & 2.43 ( 0.02 ) & 50.15 & 0.97 & 14 & 1.06 & 48.40 & 4.33 & 2.43 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.06 & 0.89 ( 0.01 ) & 44.77 ( 0.71 ) & 1.81 ( 0.1 ) & 2.3 ( 0.01 ) & 48.96 & 0.91 & 15 & 0.89 & 44.70 & 1.81 & 2.30 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.09 & 0.85 ( 0.01 ) & 41.77 ( 0.68 ) & 0.99 ( 0.07 ) & 2.25 ( 0.01 ) & 46.78 & 0.89 & 16 & 0.85 & 41.70 & 0.99 & 2.25 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | Index | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | NaN | 1.31 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.09 ( 0.02 ) | 0.00 | NaN | 1 | 1.31 | NA | NA | 2.09 |\n", + "| 100 | 50 | 0.50 | 0.18 | 0.85 ( 0.02 ) | 1.85 ( 0.11 ) | 4.11 ( 0.1 ) | 1.79 ( 0.01 ) | 3.74 | 0.48 | 2 | 0.85 | 1.85 | 4.11 | 1.79 |\n", + "| 500 | 50 | 0.10 | 0.80 | 0.47 ( 0.01 ) | 0.3 ( 0.05 ) | 1.61 ( 0.08 ) | 1.31 ( 0 ) | 4.69 | 0.05 | 3 | 0.47 | 0.30 | 1.61 | 1.31 |\n", + "| 1000 | 50 | 0.05 | 0.88 | 0.35 ( 0 ) | 0.07 ( 0.03 ) | 0.78 ( 0.07 ) | 1.17 ( 0 ) | 5.29 | 0.01 | 4 | 0.35 | 0.07 | 0.78 | 1.17 |\n", + "| 50 | 100 | 2.00 | NaN | 1.32 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.23 ( 0.02 ) | 0.00 | NaN | 5 | 1.32 | NA | NA | 2.23 |\n", + "| 100 | 100 | 1.00 | 0.08 | 0.91 ( 0.03 ) | 4.33 ( 0.22 ) | 4.45 ( 0.09 ) | 2.02 ( 0.01 ) | 5.88 | 0.72 | 6 | 0.91 | 4.33 | 4.45 | 2.02 |\n", + "| 500 | 100 | 0.20 | 0.60 | 0.59 ( 0.01 ) | 1.91 ( 0.15 ) | 1.41 ( 0.07 ) | 1.54 ( 0 ) | 6.50 | 0.27 | 7 | 0.59 | 1.91 | 1.41 | 1.54 |\n", + "| 1000 | 100 | 0.10 | 0.81 | 0.47 ( 0 ) | 0.71 ( 0.09 ) | 0.53 ( 0.06 ) | 1.39 ( 0 ) | 6.18 | 0.1 | 8 | 0.47 | 0.71 | 0.53 | 1.39 |\n", + "| 50 | 500 | 10.00 | NaN | 1.33 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.48 ( 0.03 ) | 0.00 | NaN | 9 | 1.33 | NA | NA | 2.48 |\n", + "| 100 | 500 | 5.00 | 0.02 | 1.07 ( 0.03 ) | 23.8 ( 0.52 ) | 4.26 ( 0.1 ) | 2.43 ( 0.02 ) | 25.54 | 0.93 | 10 | 1.07 | 23.80 | 4.26 | 2.43 |\n", + "| 500 | 500 | 1.00 | 0.14 | 0.84 ( 0.01 ) | 19.92 ( 0.41 ) | 1.71 ( 0.08 ) | 2.14 ( 0.01 ) | 24.21 | 0.82 | 11 | 0.84 | 19.90 | 1.71 | 2.14 |\n", + "| 1000 | 500 | 0.50 | 0.19 | 0.78 ( 0.01 ) | 18.73 ( 0.42 ) | 0.84 ( 0.06 ) | 2.06 ( 0 ) | 23.89 | 0.78 | 12 | 0.78 | 18.70 | 0.84 | 2.06 |\n", + "| 50 | 1000 | 20.00 | NaN | 1.31 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.48 ( 0.03 ) | 0.00 | NaN | 13 | 1.31 | NA | NA | 2.48 |\n", + "| 100 | 1000 | 10.00 | 0.01 | 1.06 ( 0.03 ) | 48.48 ( 0.63 ) | 4.33 ( 0.1 ) | 2.43 ( 0.02 ) | 50.15 | 0.97 | 14 | 1.06 | 48.40 | 4.33 | 2.43 |\n", + "| 500 | 1000 | 2.00 | 0.06 | 0.89 ( 0.01 ) | 44.77 ( 0.71 ) | 1.81 ( 0.1 ) | 2.3 ( 0.01 ) | 48.96 | 0.91 | 15 | 0.89 | 44.70 | 1.81 | 2.30 |\n", + "| 1000 | 1000 | 1.00 | 0.09 | 0.85 ( 0.01 ) | 41.77 ( 0.68 ) | 0.99 ( 0.07 ) | 2.25 ( 0.01 ) | 46.78 | 0.89 | 16 | 0.85 | 41.70 | 0.99 | 2.25 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN \n", + "1 50 50 1.00 NaN 1.31 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.50 0.18 0.85 ( 0.02 ) 1.85 ( 0.11 ) 4.11 ( 0.1 ) \n", + "3 500 50 0.10 0.80 0.47 ( 0.01 ) 0.3 ( 0.05 ) 1.61 ( 0.08 )\n", + "4 1000 50 0.05 0.88 0.35 ( 0 ) 0.07 ( 0.03 ) 0.78 ( 0.07 )\n", + "5 50 100 2.00 NaN 1.32 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "6 100 100 1.00 0.08 0.91 ( 0.03 ) 4.33 ( 0.22 ) 4.45 ( 0.09 )\n", + "7 500 100 0.20 0.60 0.59 ( 0.01 ) 1.91 ( 0.15 ) 1.41 ( 0.07 )\n", + "8 1000 100 0.10 0.81 0.47 ( 0 ) 0.71 ( 0.09 ) 0.53 ( 0.06 )\n", + "9 50 500 10.00 NaN 1.33 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "10 100 500 5.00 0.02 1.07 ( 0.03 ) 23.8 ( 0.52 ) 4.26 ( 0.1 ) \n", + "11 500 500 1.00 0.14 0.84 ( 0.01 ) 19.92 ( 0.41 ) 1.71 ( 0.08 )\n", + "12 1000 500 0.50 0.19 0.78 ( 0.01 ) 18.73 ( 0.42 ) 0.84 ( 0.06 )\n", + "13 50 1000 20.00 NaN 1.31 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "14 100 1000 10.00 0.01 1.06 ( 0.03 ) 48.48 ( 0.63 ) 4.33 ( 0.1 ) \n", + "15 500 1000 2.00 0.06 0.89 ( 0.01 ) 44.77 ( 0.71 ) 1.81 ( 0.1 ) \n", + "16 1000 1000 1.00 0.09 0.85 ( 0.01 ) 41.77 ( 0.68 ) 0.99 ( 0.07 )\n", + " OOB num_select FDR Index MSE_mean FP_mean FN_mean OOB_mean\n", + "1 2.09 ( 0.02 ) 0.00 NaN 1 1.31 NA NA 2.09 \n", + "2 1.79 ( 0.01 ) 3.74 0.48 2 0.85 1.85 4.11 1.79 \n", + "3 1.31 ( 0 ) 4.69 0.05 3 0.47 0.30 1.61 1.31 \n", + "4 1.17 ( 0 ) 5.29 0.01 4 0.35 0.07 0.78 1.17 \n", + "5 2.23 ( 0.02 ) 0.00 NaN 5 1.32 NA NA 2.23 \n", + "6 2.02 ( 0.01 ) 5.88 0.72 6 0.91 4.33 4.45 2.02 \n", + "7 1.54 ( 0 ) 6.50 0.27 7 0.59 1.91 1.41 1.54 \n", + "8 1.39 ( 0 ) 6.18 0.1 8 0.47 0.71 0.53 1.39 \n", + "9 2.48 ( 0.03 ) 0.00 NaN 9 1.33 NA NA 2.48 \n", + "10 2.43 ( 0.02 ) 25.54 0.93 10 1.07 23.80 4.26 2.43 \n", + "11 2.14 ( 0.01 ) 24.21 0.82 11 0.84 19.90 1.71 2.14 \n", + "12 2.06 ( 0 ) 23.89 0.78 12 0.78 18.70 0.84 2.06 \n", + "13 2.48 ( 0.03 ) 0.00 NaN 13 1.31 NA NA 2.48 \n", + "14 2.43 ( 0.02 ) 50.15 0.97 14 1.06 48.40 4.33 2.43 \n", + "15 2.3 ( 0.01 ) 48.96 0.91 15 0.89 44.70 1.81 2.30 \n", + "16 2.25 ( 0.01 ) 46.78 0.89 16 0.85 41.70 0.99 2.25 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_ind" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1] 0\n", + "[1] 0\n", + "[1] 0\n", + "[1] 0\n" + ] + } + ], + "source": [ + "## nothing was selected when Stab is NaN\n", + "for (i in c(1,5,9,13)){\n", + " print(sum(results_ind_rf[[i]]$Stab.table))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNOOBnum_selectFDRIndexMSE_meanFP_meanFN_meanOOB_mean
    50 50 1.00 0.00 1.31 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 2.09 ( 0.02 ) 0.00 NaN 1 1.31 1.00 6.00 2.09
    100 50 0.50 0.18 0.85 ( 0.02 ) 1.85 ( 0.11 ) 4.11 ( 0.1 ) 1.79 ( 0.01 ) 3.74 0.48 2 0.85 1.85 4.11 1.79
    500 50 0.10 0.80 0.47 ( 0.01 ) 0.3 ( 0.05 ) 1.61 ( 0.08 ) 1.31 ( 0 ) 4.69 0.05 3 0.47 0.30 1.61 1.31
    1000 50 0.05 0.88 0.35 ( 0 ) 0.07 ( 0.03 ) 0.78 ( 0.07 ) 1.17 ( 0 ) 5.29 0.01 4 0.35 0.07 0.78 1.17
    50 100 2.00 0.00 1.32 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.23 ( 0.02 ) 0.00 NaN 5 1.32 1.00 6.00 2.23
    100 100 1.00 0.08 0.91 ( 0.03 ) 4.33 ( 0.22 ) 4.45 ( 0.09 ) 2.02 ( 0.01 ) 5.88 0.72 6 0.91 4.33 4.45 2.02
    500 100 0.20 0.60 0.59 ( 0.01 ) 1.91 ( 0.15 ) 1.41 ( 0.07 ) 1.54 ( 0 ) 6.50 0.27 7 0.59 1.91 1.41 1.54
    1000 100 0.10 0.81 0.47 ( 0 ) 0.71 ( 0.09 ) 0.53 ( 0.06 ) 1.39 ( 0 ) 6.18 0.1 8 0.47 0.71 0.53 1.39
    50 500 10.00 0.00 1.33 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.48 ( 0.03 ) 0.00 NaN 9 1.33 1.00 6.00 2.48
    100 500 5.00 0.02 1.07 ( 0.03 ) 23.8 ( 0.52 ) 4.26 ( 0.1 ) 2.43 ( 0.02 ) 25.54 0.93 10 1.07 23.80 4.26 2.43
    500 500 1.00 0.14 0.84 ( 0.01 ) 19.92 ( 0.41 )1.71 ( 0.08 ) 2.14 ( 0.01 ) 24.21 0.82 11 0.84 19.90 1.71 2.14
    1000 500 0.50 0.19 0.78 ( 0.01 ) 18.73 ( 0.42 )0.84 ( 0.06 ) 2.06 ( 0 ) 23.89 0.78 12 0.78 18.70 0.84 2.06
    50 1000 20.00 0.00 1.31 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.48 ( 0.03 ) 0.00 NaN 13 1.31 1.00 6.00 2.48
    100 1000 10.00 0.01 1.06 ( 0.03 ) 48.48 ( 0.63 )4.33 ( 0.1 ) 2.43 ( 0.02 ) 50.15 0.97 14 1.06 48.40 4.33 2.43
    500 1000 2.00 0.06 0.89 ( 0.01 ) 44.77 ( 0.71 )1.81 ( 0.1 ) 2.3 ( 0.01 ) 48.96 0.91 15 0.89 44.70 1.81 2.30
    1000 1000 1.00 0.09 0.85 ( 0.01 ) 41.77 ( 0.68 )0.99 ( 0.07 ) 2.25 ( 0.01 ) 46.78 0.89 16 0.85 41.70 0.99 2.25
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & Index & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.00 & 1.31 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.09 ( 0.02 ) & 0.00 & NaN & 1 & 1.31 & 1.00 & 6.00 & 2.09 \\\\\n", + "\t 100 & 50 & 0.50 & 0.18 & 0.85 ( 0.02 ) & 1.85 ( 0.11 ) & 4.11 ( 0.1 ) & 1.79 ( 0.01 ) & 3.74 & 0.48 & 2 & 0.85 & 1.85 & 4.11 & 1.79 \\\\\n", + "\t 500 & 50 & 0.10 & 0.80 & 0.47 ( 0.01 ) & 0.3 ( 0.05 ) & 1.61 ( 0.08 ) & 1.31 ( 0 ) & 4.69 & 0.05 & 3 & 0.47 & 0.30 & 1.61 & 1.31 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.88 & 0.35 ( 0 ) & 0.07 ( 0.03 ) & 0.78 ( 0.07 ) & 1.17 ( 0 ) & 5.29 & 0.01 & 4 & 0.35 & 0.07 & 0.78 & 1.17 \\\\\n", + "\t 50 & 100 & 2.00 & 0.00 & 1.32 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.23 ( 0.02 ) & 0.00 & NaN & 5 & 1.32 & 1.00 & 6.00 & 2.23 \\\\\n", + "\t 100 & 100 & 1.00 & 0.08 & 0.91 ( 0.03 ) & 4.33 ( 0.22 ) & 4.45 ( 0.09 ) & 2.02 ( 0.01 ) & 5.88 & 0.72 & 6 & 0.91 & 4.33 & 4.45 & 2.02 \\\\\n", + "\t 500 & 100 & 0.20 & 0.60 & 0.59 ( 0.01 ) & 1.91 ( 0.15 ) & 1.41 ( 0.07 ) & 1.54 ( 0 ) & 6.50 & 0.27 & 7 & 0.59 & 1.91 & 1.41 & 1.54 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.81 & 0.47 ( 0 ) & 0.71 ( 0.09 ) & 0.53 ( 0.06 ) & 1.39 ( 0 ) & 6.18 & 0.1 & 8 & 0.47 & 0.71 & 0.53 & 1.39 \\\\\n", + "\t 50 & 500 & 10.00 & 0.00 & 1.33 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.48 ( 0.03 ) & 0.00 & NaN & 9 & 1.33 & 1.00 & 6.00 & 2.48 \\\\\n", + "\t 100 & 500 & 5.00 & 0.02 & 1.07 ( 0.03 ) & 23.8 ( 0.52 ) & 4.26 ( 0.1 ) & 2.43 ( 0.02 ) & 25.54 & 0.93 & 10 & 1.07 & 23.80 & 4.26 & 2.43 \\\\\n", + "\t 500 & 500 & 1.00 & 0.14 & 0.84 ( 0.01 ) & 19.92 ( 0.41 ) & 1.71 ( 0.08 ) & 2.14 ( 0.01 ) & 24.21 & 0.82 & 11 & 0.84 & 19.90 & 1.71 & 2.14 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.19 & 0.78 ( 0.01 ) & 18.73 ( 0.42 ) & 0.84 ( 0.06 ) & 2.06 ( 0 ) & 23.89 & 0.78 & 12 & 0.78 & 18.70 & 0.84 & 2.06 \\\\\n", + "\t 50 & 1000 & 20.00 & 0.00 & 1.31 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.48 ( 0.03 ) & 0.00 & NaN & 13 & 1.31 & 1.00 & 6.00 & 2.48 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.01 & 1.06 ( 0.03 ) & 48.48 ( 0.63 ) & 4.33 ( 0.1 ) & 2.43 ( 0.02 ) & 50.15 & 0.97 & 14 & 1.06 & 48.40 & 4.33 & 2.43 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.06 & 0.89 ( 0.01 ) & 44.77 ( 0.71 ) & 1.81 ( 0.1 ) & 2.3 ( 0.01 ) & 48.96 & 0.91 & 15 & 0.89 & 44.70 & 1.81 & 2.30 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.09 & 0.85 ( 0.01 ) & 41.77 ( 0.68 ) & 0.99 ( 0.07 ) & 2.25 ( 0.01 ) & 46.78 & 0.89 & 16 & 0.85 & 41.70 & 0.99 & 2.25 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | Index | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.00 | 1.31 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.09 ( 0.02 ) | 0.00 | NaN | 1 | 1.31 | 1.00 | 6.00 | 2.09 |\n", + "| 100 | 50 | 0.50 | 0.18 | 0.85 ( 0.02 ) | 1.85 ( 0.11 ) | 4.11 ( 0.1 ) | 1.79 ( 0.01 ) | 3.74 | 0.48 | 2 | 0.85 | 1.85 | 4.11 | 1.79 |\n", + "| 500 | 50 | 0.10 | 0.80 | 0.47 ( 0.01 ) | 0.3 ( 0.05 ) | 1.61 ( 0.08 ) | 1.31 ( 0 ) | 4.69 | 0.05 | 3 | 0.47 | 0.30 | 1.61 | 1.31 |\n", + "| 1000 | 50 | 0.05 | 0.88 | 0.35 ( 0 ) | 0.07 ( 0.03 ) | 0.78 ( 0.07 ) | 1.17 ( 0 ) | 5.29 | 0.01 | 4 | 0.35 | 0.07 | 0.78 | 1.17 |\n", + "| 50 | 100 | 2.00 | 0.00 | 1.32 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.23 ( 0.02 ) | 0.00 | NaN | 5 | 1.32 | 1.00 | 6.00 | 2.23 |\n", + "| 100 | 100 | 1.00 | 0.08 | 0.91 ( 0.03 ) | 4.33 ( 0.22 ) | 4.45 ( 0.09 ) | 2.02 ( 0.01 ) | 5.88 | 0.72 | 6 | 0.91 | 4.33 | 4.45 | 2.02 |\n", + "| 500 | 100 | 0.20 | 0.60 | 0.59 ( 0.01 ) | 1.91 ( 0.15 ) | 1.41 ( 0.07 ) | 1.54 ( 0 ) | 6.50 | 0.27 | 7 | 0.59 | 1.91 | 1.41 | 1.54 |\n", + "| 1000 | 100 | 0.10 | 0.81 | 0.47 ( 0 ) | 0.71 ( 0.09 ) | 0.53 ( 0.06 ) | 1.39 ( 0 ) | 6.18 | 0.1 | 8 | 0.47 | 0.71 | 0.53 | 1.39 |\n", + "| 50 | 500 | 10.00 | 0.00 | 1.33 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.48 ( 0.03 ) | 0.00 | NaN | 9 | 1.33 | 1.00 | 6.00 | 2.48 |\n", + "| 100 | 500 | 5.00 | 0.02 | 1.07 ( 0.03 ) | 23.8 ( 0.52 ) | 4.26 ( 0.1 ) | 2.43 ( 0.02 ) | 25.54 | 0.93 | 10 | 1.07 | 23.80 | 4.26 | 2.43 |\n", + "| 500 | 500 | 1.00 | 0.14 | 0.84 ( 0.01 ) | 19.92 ( 0.41 ) | 1.71 ( 0.08 ) | 2.14 ( 0.01 ) | 24.21 | 0.82 | 11 | 0.84 | 19.90 | 1.71 | 2.14 |\n", + "| 1000 | 500 | 0.50 | 0.19 | 0.78 ( 0.01 ) | 18.73 ( 0.42 ) | 0.84 ( 0.06 ) | 2.06 ( 0 ) | 23.89 | 0.78 | 12 | 0.78 | 18.70 | 0.84 | 2.06 |\n", + "| 50 | 1000 | 20.00 | 0.00 | 1.31 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.48 ( 0.03 ) | 0.00 | NaN | 13 | 1.31 | 1.00 | 6.00 | 2.48 |\n", + "| 100 | 1000 | 10.00 | 0.01 | 1.06 ( 0.03 ) | 48.48 ( 0.63 ) | 4.33 ( 0.1 ) | 2.43 ( 0.02 ) | 50.15 | 0.97 | 14 | 1.06 | 48.40 | 4.33 | 2.43 |\n", + "| 500 | 1000 | 2.00 | 0.06 | 0.89 ( 0.01 ) | 44.77 ( 0.71 ) | 1.81 ( 0.1 ) | 2.3 ( 0.01 ) | 48.96 | 0.91 | 15 | 0.89 | 44.70 | 1.81 | 2.30 |\n", + "| 1000 | 1000 | 1.00 | 0.09 | 0.85 ( 0.01 ) | 41.77 ( 0.68 ) | 0.99 ( 0.07 ) | 2.25 ( 0.01 ) | 46.78 | 0.89 | 16 | 0.85 | 41.70 | 0.99 | 2.25 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN \n", + "1 50 50 1.00 0.00 1.31 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.50 0.18 0.85 ( 0.02 ) 1.85 ( 0.11 ) 4.11 ( 0.1 ) \n", + "3 500 50 0.10 0.80 0.47 ( 0.01 ) 0.3 ( 0.05 ) 1.61 ( 0.08 )\n", + "4 1000 50 0.05 0.88 0.35 ( 0 ) 0.07 ( 0.03 ) 0.78 ( 0.07 )\n", + "5 50 100 2.00 0.00 1.32 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "6 100 100 1.00 0.08 0.91 ( 0.03 ) 4.33 ( 0.22 ) 4.45 ( 0.09 )\n", + "7 500 100 0.20 0.60 0.59 ( 0.01 ) 1.91 ( 0.15 ) 1.41 ( 0.07 )\n", + "8 1000 100 0.10 0.81 0.47 ( 0 ) 0.71 ( 0.09 ) 0.53 ( 0.06 )\n", + "9 50 500 10.00 0.00 1.33 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "10 100 500 5.00 0.02 1.07 ( 0.03 ) 23.8 ( 0.52 ) 4.26 ( 0.1 ) \n", + "11 500 500 1.00 0.14 0.84 ( 0.01 ) 19.92 ( 0.41 ) 1.71 ( 0.08 )\n", + "12 1000 500 0.50 0.19 0.78 ( 0.01 ) 18.73 ( 0.42 ) 0.84 ( 0.06 )\n", + "13 50 1000 20.00 0.00 1.31 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "14 100 1000 10.00 0.01 1.06 ( 0.03 ) 48.48 ( 0.63 ) 4.33 ( 0.1 ) \n", + "15 500 1000 2.00 0.06 0.89 ( 0.01 ) 44.77 ( 0.71 ) 1.81 ( 0.1 ) \n", + "16 1000 1000 1.00 0.09 0.85 ( 0.01 ) 41.77 ( 0.68 ) 0.99 ( 0.07 )\n", + " OOB num_select FDR Index MSE_mean FP_mean FN_mean OOB_mean\n", + "1 2.09 ( 0.02 ) 0.00 NaN 1 1.31 1.00 6.00 2.09 \n", + "2 1.79 ( 0.01 ) 3.74 0.48 2 0.85 1.85 4.11 1.79 \n", + "3 1.31 ( 0 ) 4.69 0.05 3 0.47 0.30 1.61 1.31 \n", + "4 1.17 ( 0 ) 5.29 0.01 4 0.35 0.07 0.78 1.17 \n", + "5 2.23 ( 0.02 ) 0.00 NaN 5 1.32 1.00 6.00 2.23 \n", + "6 2.02 ( 0.01 ) 5.88 0.72 6 0.91 4.33 4.45 2.02 \n", + "7 1.54 ( 0 ) 6.50 0.27 7 0.59 1.91 1.41 1.54 \n", + "8 1.39 ( 0 ) 6.18 0.1 8 0.47 0.71 0.53 1.39 \n", + "9 2.48 ( 0.03 ) 0.00 NaN 9 1.33 1.00 6.00 2.48 \n", + "10 2.43 ( 0.02 ) 25.54 0.93 10 1.07 23.80 4.26 2.43 \n", + "11 2.14 ( 0.01 ) 24.21 0.82 11 0.84 19.90 1.71 2.14 \n", + "12 2.06 ( 0 ) 23.89 0.78 12 0.78 18.70 0.84 2.06 \n", + "13 2.48 ( 0.03 ) 0.00 NaN 13 1.31 1.00 6.00 2.48 \n", + "14 2.43 ( 0.02 ) 50.15 0.97 14 1.06 48.40 4.33 2.43 \n", + "15 2.3 ( 0.01 ) 48.96 0.91 15 0.89 44.70 1.81 2.30 \n", + "16 2.25 ( 0.01 ) 46.78 0.89 16 0.85 41.70 0.99 2.25 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "## assign zero values to NA Stab; also recover missing FP values (1 in this case); missing FN values (6 in this case)\n", + "result.table_ind$Stab[is.na(result.table_ind$Stab)] = 0\n", + "result.table_ind$FP_mean[is.na(result.table_ind$FP_mean)] = 1\n", + "result.table_ind$FN_mean[is.na(result.table_ind$FN_mean)] = 6\n", + "#result.table_ind$FDR[is.na(result.table_ind$FDR)] = 0\n", + "result.table_ind\n", + "\n", + "## export\n", + "write.table(result.table_ind, '../results_summary/sim_ind_rf.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n" + ] + }, + { + "data": { + "text/html": [ + "pdf: 2" + ], + "text/latex": [ + "\\textbf{pdf:} 2" + ], + "text/markdown": [ + "**pdf:** 2" + ], + "text/plain": [ + "pdf \n", + " 2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "pdf('../figures_sim/figure_independent_rf_oob.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_oob = ggplot(result.table_ind, aes(x=P, y=OOB_mean, color=N)) + geom_point()\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point()\n", + "grid.arrange(fig_ind_oob, fig_ind_mse, ncol=2, top='Independent_RandomForests_OOB_MSE')\n", + "dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "pdf: 2" + ], + "text/latex": [ + "\\textbf{pdf:} 2" + ], + "text/markdown": [ + "**pdf:** 2" + ], + "text/plain": [ + "pdf \n", + " 2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "pdf('../figures_sim/figure_independent_rf.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_stab = ggplot(result.table_ind, aes(x=P, y=Stab, color=N)) + geom_point() + ylab('Stability')\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point() + ylab('MSE')\n", + "fig_ind_fp = ggplot(result.table_ind, aes(x=P, y=FP_mean, color=N)) + geom_point() + ylab('False Positives')\n", + "fig_ind_fn = ggplot(result.table_ind, aes(x=P, y=FN_mean, color=N)) + geom_point() + ylab('False Negatives')\n", + "grid.arrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, top='Independent_RandomForests')\n", + "dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_indepdent_rf_jnt.ipynb b/simulations/notebooks_simulations/sim_indepdent_rf_jnt.ipynb new file mode 100644 index 0000000..1e7fca8 --- /dev/null +++ b/simulations/notebooks_simulations/sim_indepdent_rf_jnt.ipynb @@ -0,0 +1,291 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/independent_RF_janitza.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "table_ind = NULL\n", + "tmp_num_select = rep(0, length(results_ind_rf))\n", + "for (i in 1:length(results_ind_rf)){\n", + " results_ind_rf[[i]]$OOB = paste(round(mean(results_ind_rf[[i]]$OOB.list, na.rm=T),2),\n", + " '(', round(FSA::se(results_ind_rf[[i]]$OOB.list, na.rm=T),2), ')')\n", + " table_ind = rbind(table_ind, results_ind_rf[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab', 'OOB')])\n", + " tmp_num_select[i] = mean(rowSums(results_ind_rf[[i]]$Stab.table))\n", + "}\n", + "table_ind = as.data.frame(table_ind)\n", + "table_ind$num_select = tmp_num_select" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_ind <- apply(table_ind,2,as.character)\n", + "rownames(result.table_ind) = rownames(table_ind)\n", + "result.table_ind = as.data.frame(result.table_ind)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_ind$n = tidyr::extract_numeric(result.table_ind$n)\n", + "result.table_ind$p = tidyr::extract_numeric(result.table_ind$p)\n", + "result.table_ind$ratio = result.table_ind$p / result.table_ind$n\n", + "\n", + "result.table_ind = result.table_ind[c('n', 'p', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'OOB', 'num_select')]\n", + "colnames(result.table_ind)[1:3] = c('N', 'P', 'Ratio')\n", + "#rownames(result.table_ind) = NULL # tried different ways; not working\n", + "result.table_ind$Index = seq(1, length(results_ind_rf), 1)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_ind$Stab = as.numeric(as.character(result.table_ind$Stab))\n", + "result.table_ind$MSE_mean = as.numeric(substr(result.table_ind$MSE, start=1, stop=4))\n", + "result.table_ind$FP_mean = as.numeric(substr(result.table_ind$FP, start=1, stop=4))\n", + "result.table_ind$FN_mean = as.numeric(substr(result.table_ind$FN, start=1, stop=4))\n", + "result.table_ind$OOB_mean = as.numeric(substr(result.table_ind$OOB, start=1, stop=4))\n", + "result.table_ind$num_select = as.numeric(as.character(result.table_ind$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNOOBnum_selectIndexMSE_meanFP_meanFN_meanOOB_mean
    50 50 1.00 0.02 4.3 ( 0.2 ) 2.41 ( 0.21 ) 5.22 ( 0.09 ) 2.08 ( 0.02 ) 3.05 1 4.30 2.41 5.22 2.08
    100 50 0.50 0.18 3.22 ( 0.11 ) 2.63 ( 0.21 ) 3.84 ( 0.11 ) 1.78 ( 0.01 ) 4.77 2 3.22 2.63 3.84 1.78
    500 50 0.10 0.49 1.94 ( 0.03 ) 3.08 ( 0.27 ) 1.07 ( 0.08 ) 1.31 ( 0 ) 8.01 3 1.94 3.08 1.07 1.31
    1000 50 0.05 0.57 1.53 ( 0.01 ) 3.26 ( 0.26 ) 0.2 ( 0.04 ) 1.17 ( 0 ) 9.06 4 1.53 3.26 0.20 1.17
    50 100 2.00 0.01 4.04 ( 0.19 ) 5.04 ( 0.36 ) 5.31 ( 0.08 ) 2.23 ( 0.02 ) 5.71 5 4.04 5.04 5.31 2.23
    100 100 1.00 0.10 3.38 ( 0.11 ) 4.66 ( 0.29 ) 4.09 ( 0.1 ) 2.02 ( 0.01 ) 6.57 6 3.38 4.66 4.09 2.02
    500 100 0.20 0.34 2.65 ( 0.03 ) 6.53 ( 0.38 ) 1.08 ( 0.07 ) 1.54 ( 0 ) 11.45 7 2.65 6.53 1.08 1.54
    1000 100 0.10 0.40 2.31 ( 0.02 ) 6.77 ( 0.39 ) 0.27 ( 0.05 ) 1.39 ( 0 ) 12.50 8 2.31 6.77 0.27 1.39
    50 500 10.00 0.03 4.02 ( 0.2 ) 26.76 ( 0.75 )4.84 ( 0.09 ) 2.47 ( 0.03 ) 27.92 9 4.02 26.70 4.84 2.47
    100 500 5.00 0.02 3.9 ( 0.13 ) 26.32 ( 0.91 )4.5 ( 0.08 ) 2.42 ( 0.02 ) 27.82 10 3.90 26.30 4.50 2.42
    500 500 1.00 0.11 3.68 ( 0.05 ) 28.84 ( 1 ) 1.5 ( 0.07 ) 2.14 ( 0.01 ) 33.34 11 3.68 28.80 1.50 2.14
    1000 500 0.50 0.12 3.69 ( 0.03 ) 34.08 ( 1.34 )0.49 ( 0.06 ) 2.06 ( 0 ) 39.59 12 3.69 34.00 0.49 2.06
    50 1000 20.00 0.04 4.04 ( 0.2 ) 48.82 ( 1.04 )5.29 ( 0.07 ) 2.46 ( 0.03 ) 49.53 13 4.04 48.80 5.29 2.46
    100 1000 10.00 0.02 3.8 ( 0.12 ) 52.42 ( 1.4 ) 4.72 ( 0.08 ) 2.42 ( 0.02 ) 53.70 14 3.80 52.40 4.72 2.42
    500 1000 2.00 0.06 3.93 ( 0.06 ) 57.58 ( 1.72 )1.57 ( 0.08 ) 2.3 ( 0.01 ) 62.01 15 3.93 57.50 1.57 2.30
    1000 1000 1.00 0.07 3.93 ( 0.04 ) 62 ( 1.83 ) 0.68 ( 0.06 ) 2.25 ( 0 ) 67.32 16 3.93 NA 0.68 2.25
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & Index & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.02 & 4.3 ( 0.2 ) & 2.41 ( 0.21 ) & 5.22 ( 0.09 ) & 2.08 ( 0.02 ) & 3.05 & 1 & 4.30 & 2.41 & 5.22 & 2.08 \\\\\n", + "\t 100 & 50 & 0.50 & 0.18 & 3.22 ( 0.11 ) & 2.63 ( 0.21 ) & 3.84 ( 0.11 ) & 1.78 ( 0.01 ) & 4.77 & 2 & 3.22 & 2.63 & 3.84 & 1.78 \\\\\n", + "\t 500 & 50 & 0.10 & 0.49 & 1.94 ( 0.03 ) & 3.08 ( 0.27 ) & 1.07 ( 0.08 ) & 1.31 ( 0 ) & 8.01 & 3 & 1.94 & 3.08 & 1.07 & 1.31 \\\\\n", + "\t 1000 & 50 & 0.05 & 0.57 & 1.53 ( 0.01 ) & 3.26 ( 0.26 ) & 0.2 ( 0.04 ) & 1.17 ( 0 ) & 9.06 & 4 & 1.53 & 3.26 & 0.20 & 1.17 \\\\\n", + "\t 50 & 100 & 2.00 & 0.01 & 4.04 ( 0.19 ) & 5.04 ( 0.36 ) & 5.31 ( 0.08 ) & 2.23 ( 0.02 ) & 5.71 & 5 & 4.04 & 5.04 & 5.31 & 2.23 \\\\\n", + "\t 100 & 100 & 1.00 & 0.10 & 3.38 ( 0.11 ) & 4.66 ( 0.29 ) & 4.09 ( 0.1 ) & 2.02 ( 0.01 ) & 6.57 & 6 & 3.38 & 4.66 & 4.09 & 2.02 \\\\\n", + "\t 500 & 100 & 0.20 & 0.34 & 2.65 ( 0.03 ) & 6.53 ( 0.38 ) & 1.08 ( 0.07 ) & 1.54 ( 0 ) & 11.45 & 7 & 2.65 & 6.53 & 1.08 & 1.54 \\\\\n", + "\t 1000 & 100 & 0.10 & 0.40 & 2.31 ( 0.02 ) & 6.77 ( 0.39 ) & 0.27 ( 0.05 ) & 1.39 ( 0 ) & 12.50 & 8 & 2.31 & 6.77 & 0.27 & 1.39 \\\\\n", + "\t 50 & 500 & 10.00 & 0.03 & 4.02 ( 0.2 ) & 26.76 ( 0.75 ) & 4.84 ( 0.09 ) & 2.47 ( 0.03 ) & 27.92 & 9 & 4.02 & 26.70 & 4.84 & 2.47 \\\\\n", + "\t 100 & 500 & 5.00 & 0.02 & 3.9 ( 0.13 ) & 26.32 ( 0.91 ) & 4.5 ( 0.08 ) & 2.42 ( 0.02 ) & 27.82 & 10 & 3.90 & 26.30 & 4.50 & 2.42 \\\\\n", + "\t 500 & 500 & 1.00 & 0.11 & 3.68 ( 0.05 ) & 28.84 ( 1 ) & 1.5 ( 0.07 ) & 2.14 ( 0.01 ) & 33.34 & 11 & 3.68 & 28.80 & 1.50 & 2.14 \\\\\n", + "\t 1000 & 500 & 0.50 & 0.12 & 3.69 ( 0.03 ) & 34.08 ( 1.34 ) & 0.49 ( 0.06 ) & 2.06 ( 0 ) & 39.59 & 12 & 3.69 & 34.00 & 0.49 & 2.06 \\\\\n", + "\t 50 & 1000 & 20.00 & 0.04 & 4.04 ( 0.2 ) & 48.82 ( 1.04 ) & 5.29 ( 0.07 ) & 2.46 ( 0.03 ) & 49.53 & 13 & 4.04 & 48.80 & 5.29 & 2.46 \\\\\n", + "\t 100 & 1000 & 10.00 & 0.02 & 3.8 ( 0.12 ) & 52.42 ( 1.4 ) & 4.72 ( 0.08 ) & 2.42 ( 0.02 ) & 53.70 & 14 & 3.80 & 52.40 & 4.72 & 2.42 \\\\\n", + "\t 500 & 1000 & 2.00 & 0.06 & 3.93 ( 0.06 ) & 57.58 ( 1.72 ) & 1.57 ( 0.08 ) & 2.3 ( 0.01 ) & 62.01 & 15 & 3.93 & 57.50 & 1.57 & 2.30 \\\\\n", + "\t 1000 & 1000 & 1.00 & 0.07 & 3.93 ( 0.04 ) & 62 ( 1.83 ) & 0.68 ( 0.06 ) & 2.25 ( 0 ) & 67.32 & 16 & 3.93 & NA & 0.68 & 2.25 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | OOB | num_select | Index | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.02 | 4.3 ( 0.2 ) | 2.41 ( 0.21 ) | 5.22 ( 0.09 ) | 2.08 ( 0.02 ) | 3.05 | 1 | 4.30 | 2.41 | 5.22 | 2.08 |\n", + "| 100 | 50 | 0.50 | 0.18 | 3.22 ( 0.11 ) | 2.63 ( 0.21 ) | 3.84 ( 0.11 ) | 1.78 ( 0.01 ) | 4.77 | 2 | 3.22 | 2.63 | 3.84 | 1.78 |\n", + "| 500 | 50 | 0.10 | 0.49 | 1.94 ( 0.03 ) | 3.08 ( 0.27 ) | 1.07 ( 0.08 ) | 1.31 ( 0 ) | 8.01 | 3 | 1.94 | 3.08 | 1.07 | 1.31 |\n", + "| 1000 | 50 | 0.05 | 0.57 | 1.53 ( 0.01 ) | 3.26 ( 0.26 ) | 0.2 ( 0.04 ) | 1.17 ( 0 ) | 9.06 | 4 | 1.53 | 3.26 | 0.20 | 1.17 |\n", + "| 50 | 100 | 2.00 | 0.01 | 4.04 ( 0.19 ) | 5.04 ( 0.36 ) | 5.31 ( 0.08 ) | 2.23 ( 0.02 ) | 5.71 | 5 | 4.04 | 5.04 | 5.31 | 2.23 |\n", + "| 100 | 100 | 1.00 | 0.10 | 3.38 ( 0.11 ) | 4.66 ( 0.29 ) | 4.09 ( 0.1 ) | 2.02 ( 0.01 ) | 6.57 | 6 | 3.38 | 4.66 | 4.09 | 2.02 |\n", + "| 500 | 100 | 0.20 | 0.34 | 2.65 ( 0.03 ) | 6.53 ( 0.38 ) | 1.08 ( 0.07 ) | 1.54 ( 0 ) | 11.45 | 7 | 2.65 | 6.53 | 1.08 | 1.54 |\n", + "| 1000 | 100 | 0.10 | 0.40 | 2.31 ( 0.02 ) | 6.77 ( 0.39 ) | 0.27 ( 0.05 ) | 1.39 ( 0 ) | 12.50 | 8 | 2.31 | 6.77 | 0.27 | 1.39 |\n", + "| 50 | 500 | 10.00 | 0.03 | 4.02 ( 0.2 ) | 26.76 ( 0.75 ) | 4.84 ( 0.09 ) | 2.47 ( 0.03 ) | 27.92 | 9 | 4.02 | 26.70 | 4.84 | 2.47 |\n", + "| 100 | 500 | 5.00 | 0.02 | 3.9 ( 0.13 ) | 26.32 ( 0.91 ) | 4.5 ( 0.08 ) | 2.42 ( 0.02 ) | 27.82 | 10 | 3.90 | 26.30 | 4.50 | 2.42 |\n", + "| 500 | 500 | 1.00 | 0.11 | 3.68 ( 0.05 ) | 28.84 ( 1 ) | 1.5 ( 0.07 ) | 2.14 ( 0.01 ) | 33.34 | 11 | 3.68 | 28.80 | 1.50 | 2.14 |\n", + "| 1000 | 500 | 0.50 | 0.12 | 3.69 ( 0.03 ) | 34.08 ( 1.34 ) | 0.49 ( 0.06 ) | 2.06 ( 0 ) | 39.59 | 12 | 3.69 | 34.00 | 0.49 | 2.06 |\n", + "| 50 | 1000 | 20.00 | 0.04 | 4.04 ( 0.2 ) | 48.82 ( 1.04 ) | 5.29 ( 0.07 ) | 2.46 ( 0.03 ) | 49.53 | 13 | 4.04 | 48.80 | 5.29 | 2.46 |\n", + "| 100 | 1000 | 10.00 | 0.02 | 3.8 ( 0.12 ) | 52.42 ( 1.4 ) | 4.72 ( 0.08 ) | 2.42 ( 0.02 ) | 53.70 | 14 | 3.80 | 52.40 | 4.72 | 2.42 |\n", + "| 500 | 1000 | 2.00 | 0.06 | 3.93 ( 0.06 ) | 57.58 ( 1.72 ) | 1.57 ( 0.08 ) | 2.3 ( 0.01 ) | 62.01 | 15 | 3.93 | 57.50 | 1.57 | 2.30 |\n", + "| 1000 | 1000 | 1.00 | 0.07 | 3.93 ( 0.04 ) | 62 ( 1.83 ) | 0.68 ( 0.06 ) | 2.25 ( 0 ) | 67.32 | 16 | 3.93 | NA | 0.68 | 2.25 |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN \n", + "1 50 50 1.00 0.02 4.3 ( 0.2 ) 2.41 ( 0.21 ) 5.22 ( 0.09 )\n", + "2 100 50 0.50 0.18 3.22 ( 0.11 ) 2.63 ( 0.21 ) 3.84 ( 0.11 )\n", + "3 500 50 0.10 0.49 1.94 ( 0.03 ) 3.08 ( 0.27 ) 1.07 ( 0.08 )\n", + "4 1000 50 0.05 0.57 1.53 ( 0.01 ) 3.26 ( 0.26 ) 0.2 ( 0.04 ) \n", + "5 50 100 2.00 0.01 4.04 ( 0.19 ) 5.04 ( 0.36 ) 5.31 ( 0.08 )\n", + "6 100 100 1.00 0.10 3.38 ( 0.11 ) 4.66 ( 0.29 ) 4.09 ( 0.1 ) \n", + "7 500 100 0.20 0.34 2.65 ( 0.03 ) 6.53 ( 0.38 ) 1.08 ( 0.07 )\n", + "8 1000 100 0.10 0.40 2.31 ( 0.02 ) 6.77 ( 0.39 ) 0.27 ( 0.05 )\n", + "9 50 500 10.00 0.03 4.02 ( 0.2 ) 26.76 ( 0.75 ) 4.84 ( 0.09 )\n", + "10 100 500 5.00 0.02 3.9 ( 0.13 ) 26.32 ( 0.91 ) 4.5 ( 0.08 ) \n", + "11 500 500 1.00 0.11 3.68 ( 0.05 ) 28.84 ( 1 ) 1.5 ( 0.07 ) \n", + "12 1000 500 0.50 0.12 3.69 ( 0.03 ) 34.08 ( 1.34 ) 0.49 ( 0.06 )\n", + "13 50 1000 20.00 0.04 4.04 ( 0.2 ) 48.82 ( 1.04 ) 5.29 ( 0.07 )\n", + "14 100 1000 10.00 0.02 3.8 ( 0.12 ) 52.42 ( 1.4 ) 4.72 ( 0.08 )\n", + "15 500 1000 2.00 0.06 3.93 ( 0.06 ) 57.58 ( 1.72 ) 1.57 ( 0.08 )\n", + "16 1000 1000 1.00 0.07 3.93 ( 0.04 ) 62 ( 1.83 ) 0.68 ( 0.06 )\n", + " OOB num_select Index MSE_mean FP_mean FN_mean OOB_mean\n", + "1 2.08 ( 0.02 ) 3.05 1 4.30 2.41 5.22 2.08 \n", + "2 1.78 ( 0.01 ) 4.77 2 3.22 2.63 3.84 1.78 \n", + "3 1.31 ( 0 ) 8.01 3 1.94 3.08 1.07 1.31 \n", + "4 1.17 ( 0 ) 9.06 4 1.53 3.26 0.20 1.17 \n", + "5 2.23 ( 0.02 ) 5.71 5 4.04 5.04 5.31 2.23 \n", + "6 2.02 ( 0.01 ) 6.57 6 3.38 4.66 4.09 2.02 \n", + "7 1.54 ( 0 ) 11.45 7 2.65 6.53 1.08 1.54 \n", + "8 1.39 ( 0 ) 12.50 8 2.31 6.77 0.27 1.39 \n", + "9 2.47 ( 0.03 ) 27.92 9 4.02 26.70 4.84 2.47 \n", + "10 2.42 ( 0.02 ) 27.82 10 3.90 26.30 4.50 2.42 \n", + "11 2.14 ( 0.01 ) 33.34 11 3.68 28.80 1.50 2.14 \n", + "12 2.06 ( 0 ) 39.59 12 3.69 34.00 0.49 2.06 \n", + "13 2.46 ( 0.03 ) 49.53 13 4.04 48.80 5.29 2.46 \n", + "14 2.42 ( 0.02 ) 53.70 14 3.80 52.40 4.72 2.42 \n", + "15 2.3 ( 0.01 ) 62.01 15 3.93 57.50 1.57 2.30 \n", + "16 2.25 ( 0 ) 67.32 16 3.93 NA 0.68 2.25 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_ind" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_ind, '../results_summary/sim_ind_rf_jnt.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Warning message:\n", + "“Removed 1 rows containing missing values (geom_point).”" + ] + }, + { + "data": { + "image/png": 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AESIIEQE6CCFOIBoHgSIAESIAESIAESIAESIIHwIUAFKXzGgi0hARIgARIgARIg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\nQMdXAAAAAElFTkSuQmCC", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "#pdf('../figures_sim/figure_independent_rf_jnt.pdf', height=5, width=7)\n", + "result.table_ind$N = as.factor(result.table_ind$N)\n", + "fig_ind_stab = ggplot(result.table_ind, aes(x=P, y=Stab, color=N)) + geom_point() + ylab('Stability')\n", + "fig_ind_mse = ggplot(result.table_ind, aes(x=P, y=MSE_mean, color=N)) + geom_point() + ylab('MSE')\n", + "fig_ind_fp = ggplot(result.table_ind, aes(x=P, y=FP_mean, color=N)) + geom_point() + ylab('False Positives')\n", + "fig_ind_fn = ggplot(result.table_ind, aes(x=P, y=FN_mean, color=N)) + geom_point() + ylab('False Negatives')\n", + "grid.arrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, top='Independent_RandomForests')\n", + "#dev.off()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ + "# summary: Janitza method has better stability yet much worse MSE than Altman (still much lower stab than others)\n", + "# since Janitza is not applied to all data structures, we don't consider it any more" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_independent_summary.ipynb b/simulations/notebooks_simulations/sim_independent_summary.ipynb new file mode 100644 index 0000000..a27f478 --- /dev/null +++ b/simulations/notebooks_simulations/sim_independent_summary.ipynb @@ -0,0 +1,834 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "ind_lasso = read.csv('../results_summary/sim_ind_lasso.txt', sep='\\t')\n", + "ind_elnet = read.csv('../results_summary/sim_ind_elnet.txt', sep='\\t')\n", + "ind_rf = read.csv('../results_summary/sim_ind_rf.txt', sep='\\t')\n", + "ind_compLasso = read.csv('../results_summary/sim_ind_compLasso.txt', sep='\\t')\n", + "\n", + "ind_lasso$method = rep('lasso', dim(ind_lasso)[1])\n", + "ind_elnet$method = rep('elnet', dim(ind_elnet)[1])\n", + "ind_rf$method = rep('rf', dim(ind_rf)[1])\n", + "ind_compLasso$method = rep('compLasso', dim(ind_compLasso)[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    NPmethodStabMSE_meanFP_meanFN_meannum_selectFDR
    161000 1000 lasso 0.64 0.27 4.39 0.00 9.39 0.26
    321000 1000 elnet 0.15 0.27 34.60 0.00 39.65 0.79
    481000 1000 rf 0.09 0.85 41.70 0.99 46.78 0.89
    641000 1000 compLasso0.96 1.16 0.24 0.00 6.24 0.03
    121000 500 lasso 0.72 0.27 3.35 0.00 8.35 0.21
    281000 500 elnet 0.18 0.26 27.20 0.00 32.21 0.77
    441000 500 rf 0.19 0.78 18.70 0.84 23.89 0.78
    601000 500 compLasso0.96 1.24 0.25 0.00 6.25 0.03
    81000 100 lasso 0.82 0.27 2.25 0.00 7.25 0.15
    241000 100 elnet 0.23 0.26 17.00 0.00 22.05 0.69
    401000 100 rf 0.81 0.47 0.71 0.53 6.18 0.10
    561000 100 compLasso0.89 1.04 0.71 0.00 6.71 0.08
    41000 50 lasso 0.86 0.26 1.82 0.00 6.82 0.10
    201000 50 elnet 0.27 0.25 11.70 0.00 16.76 0.60
    361000 50 rf 0.88 0.35 0.07 0.78 5.29 0.01
    521000 50 compLasso0.93 1.18 0.39 0.00 6.39 0.04
    15 500 1000 lasso 0.52 0.29 6.51 0.00 11.51 0.40
    31 500 1000 elnet 0.14 0.27 35.90 0.00 40.98 0.80
    47 500 1000 rf 0.06 0.89 44.70 1.81 48.96 0.91
    63 500 1000 compLasso0.96 1.12 0.27 0.00 6.27 0.03
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " & N & P & method & Stab & MSE\\_mean & FP\\_mean & FN\\_mean & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t16 & 1000 & 1000 & lasso & 0.64 & 0.27 & 4.39 & 0.00 & 9.39 & 0.26 \\\\\n", + "\t32 & 1000 & 1000 & elnet & 0.15 & 0.27 & 34.60 & 0.00 & 39.65 & 0.79 \\\\\n", + "\t48 & 1000 & 1000 & rf & 0.09 & 0.85 & 41.70 & 0.99 & 46.78 & 0.89 \\\\\n", + "\t64 & 1000 & 1000 & compLasso & 0.96 & 1.16 & 0.24 & 0.00 & 6.24 & 0.03 \\\\\n", + "\t12 & 1000 & 500 & lasso & 0.72 & 0.27 & 3.35 & 0.00 & 8.35 & 0.21 \\\\\n", + "\t28 & 1000 & 500 & elnet & 0.18 & 0.26 & 27.20 & 0.00 & 32.21 & 0.77 \\\\\n", + "\t44 & 1000 & 500 & rf & 0.19 & 0.78 & 18.70 & 0.84 & 23.89 & 0.78 \\\\\n", + "\t60 & 1000 & 500 & compLasso & 0.96 & 1.24 & 0.25 & 0.00 & 6.25 & 0.03 \\\\\n", + "\t8 & 1000 & 100 & lasso & 0.82 & 0.27 & 2.25 & 0.00 & 7.25 & 0.15 \\\\\n", + "\t24 & 1000 & 100 & elnet & 0.23 & 0.26 & 17.00 & 0.00 & 22.05 & 0.69 \\\\\n", + "\t40 & 1000 & 100 & rf & 0.81 & 0.47 & 0.71 & 0.53 & 6.18 & 0.10 \\\\\n", + "\t56 & 1000 & 100 & compLasso & 0.89 & 1.04 & 0.71 & 0.00 & 6.71 & 0.08 \\\\\n", + "\t4 & 1000 & 50 & lasso & 0.86 & 0.26 & 1.82 & 0.00 & 6.82 & 0.10 \\\\\n", + "\t20 & 1000 & 50 & elnet & 0.27 & 0.25 & 11.70 & 0.00 & 16.76 & 0.60 \\\\\n", + "\t36 & 1000 & 50 & rf & 0.88 & 0.35 & 0.07 & 0.78 & 5.29 & 0.01 \\\\\n", + "\t52 & 1000 & 50 & compLasso & 0.93 & 1.18 & 0.39 & 0.00 & 6.39 & 0.04 \\\\\n", + "\t15 & 500 & 1000 & lasso & 0.52 & 0.29 & 6.51 & 0.00 & 11.51 & 0.40 \\\\\n", + "\t31 & 500 & 1000 & elnet & 0.14 & 0.27 & 35.90 & 0.00 & 40.98 & 0.80 \\\\\n", + "\t47 & 500 & 1000 & rf & 0.06 & 0.89 & 44.70 & 1.81 & 48.96 & 0.91 \\\\\n", + "\t63 & 500 & 1000 & compLasso & 0.96 & 1.12 & 0.27 & 0.00 & 6.27 & 0.03 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | method | Stab | MSE_mean | FP_mean | FN_mean | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|---|\n", + "| 16 | 1000 | 1000 | lasso | 0.64 | 0.27 | 4.39 | 0.00 | 9.39 | 0.26 |\n", + "| 32 | 1000 | 1000 | elnet | 0.15 | 0.27 | 34.60 | 0.00 | 39.65 | 0.79 |\n", + "| 48 | 1000 | 1000 | rf | 0.09 | 0.85 | 41.70 | 0.99 | 46.78 | 0.89 |\n", + "| 64 | 1000 | 1000 | compLasso | 0.96 | 1.16 | 0.24 | 0.00 | 6.24 | 0.03 |\n", + "| 12 | 1000 | 500 | lasso | 0.72 | 0.27 | 3.35 | 0.00 | 8.35 | 0.21 |\n", + "| 28 | 1000 | 500 | elnet | 0.18 | 0.26 | 27.20 | 0.00 | 32.21 | 0.77 |\n", + "| 44 | 1000 | 500 | rf | 0.19 | 0.78 | 18.70 | 0.84 | 23.89 | 0.78 |\n", + "| 60 | 1000 | 500 | compLasso | 0.96 | 1.24 | 0.25 | 0.00 | 6.25 | 0.03 |\n", + "| 8 | 1000 | 100 | lasso | 0.82 | 0.27 | 2.25 | 0.00 | 7.25 | 0.15 |\n", + "| 24 | 1000 | 100 | elnet | 0.23 | 0.26 | 17.00 | 0.00 | 22.05 | 0.69 |\n", + "| 40 | 1000 | 100 | rf | 0.81 | 0.47 | 0.71 | 0.53 | 6.18 | 0.10 |\n", + "| 56 | 1000 | 100 | compLasso | 0.89 | 1.04 | 0.71 | 0.00 | 6.71 | 0.08 |\n", + "| 4 | 1000 | 50 | lasso | 0.86 | 0.26 | 1.82 | 0.00 | 6.82 | 0.10 |\n", + "| 20 | 1000 | 50 | elnet | 0.27 | 0.25 | 11.70 | 0.00 | 16.76 | 0.60 |\n", + "| 36 | 1000 | 50 | rf | 0.88 | 0.35 | 0.07 | 0.78 | 5.29 | 0.01 |\n", + "| 52 | 1000 | 50 | compLasso | 0.93 | 1.18 | 0.39 | 0.00 | 6.39 | 0.04 |\n", + "| 15 | 500 | 1000 | lasso | 0.52 | 0.29 | 6.51 | 0.00 | 11.51 | 0.40 |\n", + "| 31 | 500 | 1000 | elnet | 0.14 | 0.27 | 35.90 | 0.00 | 40.98 | 0.80 |\n", + "| 47 | 500 | 1000 | rf | 0.06 | 0.89 | 44.70 | 1.81 | 48.96 | 0.91 |\n", + "| 63 | 500 | 1000 | compLasso | 0.96 | 1.12 | 0.27 | 0.00 | 6.27 | 0.03 |\n", + "\n" + ], + "text/plain": [ + " N P method Stab MSE_mean FP_mean FN_mean num_select FDR \n", + "16 1000 1000 lasso 0.64 0.27 4.39 0.00 9.39 0.26\n", + "32 1000 1000 elnet 0.15 0.27 34.60 0.00 39.65 0.79\n", + "48 1000 1000 rf 0.09 0.85 41.70 0.99 46.78 0.89\n", + "64 1000 1000 compLasso 0.96 1.16 0.24 0.00 6.24 0.03\n", + "12 1000 500 lasso 0.72 0.27 3.35 0.00 8.35 0.21\n", + "28 1000 500 elnet 0.18 0.26 27.20 0.00 32.21 0.77\n", + "44 1000 500 rf 0.19 0.78 18.70 0.84 23.89 0.78\n", + "60 1000 500 compLasso 0.96 1.24 0.25 0.00 6.25 0.03\n", + "8 1000 100 lasso 0.82 0.27 2.25 0.00 7.25 0.15\n", + "24 1000 100 elnet 0.23 0.26 17.00 0.00 22.05 0.69\n", + "40 1000 100 rf 0.81 0.47 0.71 0.53 6.18 0.10\n", + "56 1000 100 compLasso 0.89 1.04 0.71 0.00 6.71 0.08\n", + "4 1000 50 lasso 0.86 0.26 1.82 0.00 6.82 0.10\n", + "20 1000 50 elnet 0.27 0.25 11.70 0.00 16.76 0.60\n", + "36 1000 50 rf 0.88 0.35 0.07 0.78 5.29 0.01\n", + "52 1000 50 compLasso 0.93 1.18 0.39 0.00 6.39 0.04\n", + "15 500 1000 lasso 0.52 0.29 6.51 0.00 11.51 0.40\n", + "31 500 1000 elnet 0.14 0.27 35.90 0.00 40.98 0.80\n", + "47 500 1000 rf 0.06 0.89 44.70 1.81 48.96 0.91\n", + "63 500 1000 compLasso 0.96 1.12 0.27 0.00 6.27 0.03" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ind[order(ind$N, ind$P, decreasing=T), c('N', 'P', 'method', 'Stab', 'MSE_mean', 'FP_mean', 'FN_mean', 'num_select', 'FDR')][1:20, ]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data visualization" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "ind$N = as.factor(ind$N)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "fig_num_select <- ggplot(ind, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Independent\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_ind_num_select.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "figt_stab <- ggplot(ind, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Independent\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_ind_Stab.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "figt_mse <- ggplot(ind, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Independent\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_ind_MSE.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "figt_FP <- ggplot(ind, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Independent\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_ind_FP.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "figt_FN <- ggplot(ind, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Independent\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_ind_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n" + ] + }, + { + "data": { + "image/png": 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iiqORLhKDW6vZlishsPdPSRduo4rZQOi3uO7JaTLUb6SBt1vLqU9Ph0HI5YgAAE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6Fjm7KOduDO7O3tFawCR4RInDiZ+e+jOs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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "ind$N = as.factor(ind$N)\n", + "fig_ind_stab = ggplot(ind, aes(x=P, y=Stab, color=N)) + geom_point(aes(shape=method)) + ylab('Stability')\n", + "fig_ind_mse = ggplot(ind, aes(x=P, y=MSE_mean, color=N)) + geom_point(aes(shape=method)) + ylab('MSE')\n", + "fig_ind_fp = ggplot(ind, aes(x=P, y=FP_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Positives')\n", + "fig_ind_fn = ggplot(ind, aes(x=P, y=FN_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_ind_stab, fig_ind_mse, fig_ind_fp, fig_ind_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"bottom\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Independent\"))\n", + "fig" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "file saved to ../figures_sim/figure_ind_summary.pdf\n" + ] + } + ], + "source": [ + "ggexport(fig, filename = \"../figures_sim/figure_ind_summary.pdf\", height=8, width=8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### plot relationship between MSE, Stab, FP, FN" + ] + }, + { + "cell_type": "code", + "execution_count": 88, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPRatioStabMSEFPFNnum_selectMSE_meanFP_meanFN_meanmethod
    50 50 1.00 0.37 0.54 ( 0.03 )8.36 ( 0.45 )0.02 ( 0.01 )13.34 0.54 8.36 0.02 lasso
    100 50 0.50 0.51 0.36 ( 0.01 )5.5 ( 0.42 ) 0 ( 0 ) 10.50 0.36 5.50 0.00 lasso
    500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 )0 ( 0 ) 7.33 0.28 2.33 0.00 lasso
    1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 )0 ( 0 ) 6.82 0.26 1.82 0.00 lasso
    50 100 2.00 0.32 0.66 ( 0.04 )11.1 ( 0.38 )0.08 ( 0.03 )16.02 0.66 11.10 0.08 lasso
    100 100 1.00 0.46 0.41 ( 0.01 )7.23 ( 0.4 ) 0 ( 0 ) 12.23 0.41 7.23 0.00 lasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllll}\n", + " N & P & Ratio & Stab & MSE & FP & FN & num\\_select & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t 50 & 50 & 1.00 & 0.37 & 0.54 ( 0.03 ) & 8.36 ( 0.45 ) & 0.02 ( 0.01 ) & 13.34 & 0.54 & 8.36 & 0.02 & lasso \\\\\n", + "\t 100 & 50 & 0.50 & 0.51 & 0.36 ( 0.01 ) & 5.5 ( 0.42 ) & 0 ( 0 ) & 10.50 & 0.36 & 5.50 & 0.00 & lasso \\\\\n", + "\t 500 & 50 & 0.10 & 0.79 & 0.28 ( 0 ) & 2.33 ( 0.14 ) & 0 ( 0 ) & 7.33 & 0.28 & 2.33 & 0.00 & lasso \\\\\n", + "\t 1000 & 50 & 0.05 & 0.86 & 0.26 ( 0 ) & 1.82 ( 0.13 ) & 0 ( 0 ) & 6.82 & 0.26 & 1.82 & 0.00 & lasso \\\\\n", + "\t 50 & 100 & 2.00 & 0.32 & 0.66 ( 0.04 ) & 11.1 ( 0.38 ) & 0.08 ( 0.03 ) & 16.02 & 0.66 & 11.10 & 0.08 & lasso \\\\\n", + "\t 100 & 100 & 1.00 & 0.46 & 0.41 ( 0.01 ) & 7.23 ( 0.4 ) & 0 ( 0 ) & 12.23 & 0.41 & 7.23 & 0.00 & lasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Ratio | Stab | MSE | FP | FN | num_select | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 1.00 | 0.37 | 0.54 ( 0.03 ) | 8.36 ( 0.45 ) | 0.02 ( 0.01 ) | 13.34 | 0.54 | 8.36 | 0.02 | lasso |\n", + "| 100 | 50 | 0.50 | 0.51 | 0.36 ( 0.01 ) | 5.5 ( 0.42 ) | 0 ( 0 ) | 10.50 | 0.36 | 5.50 | 0.00 | lasso |\n", + "| 500 | 50 | 0.10 | 0.79 | 0.28 ( 0 ) | 2.33 ( 0.14 ) | 0 ( 0 ) | 7.33 | 0.28 | 2.33 | 0.00 | lasso |\n", + "| 1000 | 50 | 0.05 | 0.86 | 0.26 ( 0 ) | 1.82 ( 0.13 ) | 0 ( 0 ) | 6.82 | 0.26 | 1.82 | 0.00 | lasso |\n", + "| 50 | 100 | 2.00 | 0.32 | 0.66 ( 0.04 ) | 11.1 ( 0.38 ) | 0.08 ( 0.03 ) | 16.02 | 0.66 | 11.10 | 0.08 | lasso |\n", + "| 100 | 100 | 1.00 | 0.46 | 0.41 ( 0.01 ) | 7.23 ( 0.4 ) | 0 ( 0 ) | 12.23 | 0.41 | 7.23 | 0.00 | lasso |\n", + "\n" + ], + "text/plain": [ + " N P Ratio Stab MSE FP FN num_select\n", + "1 50 50 1.00 0.37 0.54 ( 0.03 ) 8.36 ( 0.45 ) 0.02 ( 0.01 ) 13.34 \n", + "2 100 50 0.50 0.51 0.36 ( 0.01 ) 5.5 ( 0.42 ) 0 ( 0 ) 10.50 \n", + "3 500 50 0.10 0.79 0.28 ( 0 ) 2.33 ( 0.14 ) 0 ( 0 ) 7.33 \n", + "4 1000 50 0.05 0.86 0.26 ( 0 ) 1.82 ( 0.13 ) 0 ( 0 ) 6.82 \n", + "5 50 100 2.00 0.32 0.66 ( 0.04 ) 11.1 ( 0.38 ) 0.08 ( 0.03 ) 16.02 \n", + "6 100 100 1.00 0.46 0.41 ( 0.01 ) 7.23 ( 0.4 ) 0 ( 0 ) 12.23 \n", + " MSE_mean FP_mean FN_mean method\n", + "1 0.54 8.36 0.02 lasso \n", + "2 0.36 5.50 0.00 lasso \n", + "3 0.28 2.33 0.00 lasso \n", + "4 0.26 1.82 0.00 lasso \n", + "5 0.66 11.10 0.08 lasso \n", + "6 0.41 7.23 0.00 lasso " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat = read.csv('../results_summary/table_ind_all.txt', sep='\\t')\n", + "head(dat)" + ] + }, + { + "cell_type": "code", + "execution_count": 89, + "metadata": {}, + "outputs": [], + "source": [ + "dat$N = as.factor(dat$N)\n", + "#dat$P = as.factor(dat$P)\n", + "dat$Ratio = as.factor(dat$Ratio)" + ] + }, + { + "cell_type": "code", + "execution_count": 90, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "\n", + "0.05 0.1 0.2 0.5 1 2 5 10 20 \n", + " 4 8 4 8 16 8 4 8 4 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "table(dat$Ratio)" + ] + }, + { + "cell_type": "code", + "execution_count": 91, + "metadata": {}, + "outputs": [], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "library(ggpubr)" + ] + }, + { + "cell_type": "code", + "execution_count": 127, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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WxwuM93MVUVtdaQmps3D9+ZnYGKQ997/SbkiyNXHhqu32u1r7C/LV4cQTzGi6Ol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\nW8p5krjzyPrcRdR40qQ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CAwAYFTTz3VDj300Lxz6MYxJASKQaCgHaRiACJGBBBA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nZ7UwWAro9ttvly+++ELbC7ATLrzwQj0t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\nYOYFZmK4ESiHmapXeEAqu2XMnDLukYB/CMStgoRpAuvWrWszJxoaGvT0u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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#facet_grid by P & N: not easy to see\n", + "ggplot(dat, aes(x=Stab, y=MSE_mean, color=method)) + geom_point() +\n", + " facet_grid(N ~ P, labeller = label_both) +\n", + "theme(axis.text.x = element_text(angle = 90))" + ] + }, + { + "cell_type": "code", + "execution_count": 145, + "metadata": {}, + "outputs": [], + "source": [ + "fig_mse_stab <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=method, size=Ratio)) + geom_point() + \n", + " #theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 3, 5, 7, 9, 11)) + \n", + " labs(title='Independent Correlation Structure', x='Stability', y='MSE') + \n", + " theme(plot.title = element_text(hjust = 0.5, size=15, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=14, face=\"bold\"),\n", + " axis.title.y = element_text(size=14, face=\"bold\"))\n", + "\n", + "fig_mse_fp <- ggplot(dat, aes(x=FP_mean, y=MSE_mean, color=method, size=Ratio)) + geom_point() + \n", + " #theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 3, 5, 7, 9, 11)) + \n", + " labs(title='Independent Correlation Structure', x='False Positives', y='MSE') + \n", + " theme(plot.title = element_text(hjust = 0.5, size=15, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=14, face=\"bold\"),\n", + " axis.title.y = element_text(size=14, face=\"bold\"))\n", + "\n", + "fig_stab_fp <- ggplot(dat, aes(x=FP_mean, y=Stab, color=method, size=Ratio)) + geom_point() + \n", + " #theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 3, 5, 7, 9, 11)) + \n", + " labs(title='Independent Correlation Structure', x='False Positives', y='Stability') + \n", + " theme(plot.title = element_text(hjust = 0.5, size=15, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=14, face=\"bold\"),\n", + " axis.title.y = element_text(size=14, face=\"bold\"))\n", + "\n", + "fig_mse_fn <- ggplot(dat, aes(x=FN_mean, y=MSE_mean, color=method, size=Ratio)) + geom_point() + \n", + " #theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 3, 5, 7, 9, 11)) + \n", + " labs(title='Independent Correlation Structure', x='False Negatives', y='MSE') + \n", + " theme(plot.title = element_text(hjust = 0.5, size=15, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=14, face=\"bold\"),\n", + " axis.title.y = element_text(size=14, face=\"bold\"))\n", + "\n", + "fig_stab_fn <- ggplot(dat, aes(x=FN_mean, y=Stab, color=method, size=Ratio)) + geom_point() + \n", + " #theme(legend.position=\"bottom\", legend.box=\"vertical\", legend.margin=margin()) +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 3, 5, 7, 9, 11)) + \n", + " labs(title='Independent Correlation Structure', x='False Negatives', y='Stability') + \n", + " theme(plot.title = element_text(hjust = 0.5, size=15, face=\"bold.italic\"), \n", + " axis.title.x = element_text(size=14, face=\"bold\"),\n", + " axis.title.y = element_text(size=14, face=\"bold\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 147, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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qtKGESXpxhnMa+6RNB5bhdSPIgVLkaC7M6HGflRVbqu3zp1LLrm2P0d68bu0Nrh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\nOVXA72C0rOvQCGgENAIagWAi0CxBYnjATz/9tFV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0JWfOP46N8tprr+Gjjz5ScRFoUcH+GlYVjKL9n//8B0xFxO0pU6bg+uuvV1FZ/emb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\nPFlZ6x2Pm+n+wPzEC4TUoUMH2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fcpA9IC5ME4xfnxRR2+/qU+9mhxVqPfWs/hx/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\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wwNB1r5R7lxISA1bE6TrV8oCxXcmEig\nsxCggOTyTL1TsU0qqhfJAdW36zMlvKB5OmanrTTLuKqb5a3Uu+XTyjLZq0u+y5bdZ+sytEHw\nYSIBEiABEiABJ4G0bJ90P6TafGB2V1+eZrRJadktktWtWVIzt9s7OMtw2TsBuPZu2grNXwcJ\nBSqMVH6dLTC/hzfCjkwb38sTzGmDBzsmEugsBDB+xOSCwOzyLTK6+s8qHHm7wnGLTNV5S6Nr\n7pPXNm9x0SKzkAAJkAAJkED0CaTnt0he/0ajXcjp3UThKPqI1Zqjg6USPSYIaXCn3ZEJQtHW\n9nbM0JEHzLYThgAFJJencsmmt6SweYWOBXkfZYPmqbTpK/li08cuW2U2EiABEiABEiCBzkag\ndnXHe5FLSfVJR/ejSoPjtnDuUWf7+7K/SqDjhzg6wWmoam6WbnVva0/DM60Lfmgp0qX6LR3Z\nmRqWN6LgdXErCZAACUSfQLPe8+bPny9ff/21DB8+XMaOHdtqI27yr1y5UubOnSvFxcUyfvx4\nyc+Pvplxq53kThJoRwINmzr+9QoOOTraaVPVYtVgeR9XbsczxqZIwJ9Ax1/B/v2Jy7X6lhYp\na/pUTeQiv8pholfW9LE0qe47gzNh4/J8s1MkkMwEIOyce+65snbtWpkwYYLMmjVLDj74YLn8\n8suDYnGT/4knnpCHH35YDjzwQFmzZo1g/e6775auXbsGrZMbSaCzE2iqhoFOB80/suGpd1ud\nb9aRqep7dXPu1sV8R3aUbZNAAAEKSAFAgq1m+mol0xc9z3C5LZskncJRMNTcRgIk0MEEIBBV\nVVXJc889J3l5ebJixQqZNm2aTJ48WYYNG7ZT79rKD83Ro48+KnfddZeMHj1ampqajACG+iGI\nMZFAIhJo1tAb8ZAQAqQjE5yBMJFAZyTQsUMLnYRYim/nQH6RdB3zmJp99DYXCUOWJQESiA2B\nOXPmyGGHHWaEI7TQv39/GTlypLzxxhtBG2wr/7x586RXr15GOEIF6enpMmnSpJD1BW2EG0mg\nkxFIy4rc4iQah5yaFY2pAd560lyrbzsNfM30Ro+lOpoANUguzkBWerQD5qVLemrHRNd2cbjM\nQgIkkMQEYFoHgcaZsL5hwwbnJnu5rfzY37t3bzs/FlDfpk2bpEXNl1NTf3yB+uabb+Szzz7z\nyztx4kTJzXUXcDMjY/vE+MzMjvXc5XcAQVYgJCKlpcXv6LrVtxwNbI44gPGaUtQaw+3/oz2P\nIac4Vbam+To2OKrGt0I/3PDB+cbHTV63HOvrOlZ75bafzEcCwQhQQApGJWBbRlq2ZGd0k7rG\njQF7vK0W5vTzVpClSIAESCCGBGD+BsGloKDArxWsf/fdd37bsOIm/7p163aqr0uXLkY4qqio\n8JuH9OGHH8rMmTP92tl///2lrKzMb1tbK3ipxyeeU1ZW5xgkC/wvxCPTwsLCuOtWdX+RdSr7\nd2Tsn9SMFCkekCWFhe7/a9EcXKiO3syEuDu/7FDiE6CA5PIc79bjSPl01dM65VKjrkWQfCkZ\nMqrn0RHUwKIkQAIkEBsCGEGGRgeCjzNhHfORApOb/NDqBKsPdQWOVsOJQ7du3fyawQvbli3u\nYschL/pZU1Mj9fXRNY3261SEKxDewKSxsTHCmmJXHBzBc+vWrXGtQYJwBEE73lJKNw3s0YiB\nho7TorQ0+iSle6VeP23Hb4RWE0J7dRSlmvo6aIfjT3iNt/8K+xOfBCgguTwvu5cdL5+vejJi\nP3apOpw0suexLltlNhIgARJoPwIwV4Ib7srKSr9Gt23bJj179vTbhhU3+UtLS2X58uV+ZVEf\nPNgFalEGDx4s+DgTTPvq6uqcm0Iuoz9IEDzclglZWQx3QPBoaGiIeyEOCCBowhQyXhM0XHF5\nrtUyP11d2TdVdZwZZWqGT9JKq5VP22cPAxkQkqLJstlcjxSQ2qbPHPFI4Efj73jsXRz1qVfh\nHjK49GB9IfAuU6aq9mi3nj+Xkjz/F4A4Okx2hQRIIMkJDBo0SBYuXOhHAfGQAucRWRnayj9w\n4EBZtGiRnxYJ9Yeqz6qXvyTQ2QkU7VkrKToPqUOSBokt3EPb78C3vLRsn6Rmxq9w3SHnhY12\nGgIdeOl0GkZ2R48cfotkpSG4Yfgq8xSNopSbWSyH7XK9XR8XSIAESCDeCBx33HHyn//8xwSJ\nxeT8v/3tb0bbcdRRR5muwu33U089ZWuZ2sp/6KGHmnIoA03E0qVLZfbs2cZ1eLwdO/tDAtEk\nULJPjfg6Sj5QuaxkfE00D8dTXZmlbZv3eaqYhUggxgS8q0Ni3LF4rL4gu6ecPOYJefLzE6Wp\npV7tst1d+KmqdcpMy5NfjHlKhSQGRozHc8s+kQAJbCcwbtw4Oemkk+SCCy4QmN1A03PddddJ\nvpoLIUHAefDBB03wWDhbaCs/zOhuuukmmTFjhhGsMP9mypQpMn78+O0N8psEEpRAZnGzanHq\nZNtX6gnQf1pfbI9YtUf5Q+olp6w9Gw1+SPlD66Vuvb5qNoc/sBy8Rm4lgfYhkKIjhB2k/22f\nA4y0FbioDUyba5bLc/NPl4raVRrPqPVJtjCrK80bIieOfkwKssPzxBTYbjTWMakak1o3b94c\njepiUgdeyjBvAcEqA+dCxKRBj5ViEjMuH0wIj9eEF1i82MIzWTxPCC8pKTGTwZub3Q06dARv\nOA/AHJdQ7q6D9Slc72vB6uiobZgjg7lCuBbdJDf5169fb5wwOF17t1U3eLv9X0D4KioqMpP2\n4/m6xLwZzO2JZ0cSmCOWnZ0tOGfxPAepe/fuYV2Tbf3for2/cVuqfHdbD3XYEO2aW6lPBaRd\nfr1Rskrc30/x3MUzDU45opmqlmTKskeKRVo6SkDyyeGPd1Tb0STJutqbAE3sPBAvzh0g5+z7\nlhwx/PdStMNld3pqtmSk5ZgPlpGKcwfJ0SNulzP3eTUuhCMPh8oiJEACSUoAjgTcCkdA5CZ/\njx49/OIeJSlaHnYSEcgoaJERv1TDfBVa2iVpO2WTt4UlHMWyX3mDGiQ1ToLmxvI4WXfiEaCJ\nncdzmpqSJmN6n2w+W1SjtKric0nJVHtjvQemNOVL38K9pDCnj8faWYwESIAESIAESCARCPSa\nIFK+qEXWzU2NaeBYOIToMqJOSveLH6sGOIko3qtGyueqxQXN7BLh75w0x0ABKQqnuqtqlPDB\n6ChMETZu3BiFWlkFCZAACZAACZBAIhDY5dRmqd7cIJWLsmMiKEA4yh3QIP1Oiq6JXDTYl+5f\nLZs+yItGVayDBNqNAE3s2g01GyIBEiABEiABEkhGAtCk9Dtlq3TdU7U70Ta30/oKRtbJwOmb\n1a14/NGFmWHx3jUd5/I8/pCwR52AAAWkTnCS2EUSIAESIAESIIHOTQBCUu8p26TP8VslJaMl\ncoFBtUYp6T7pdcw26Xey1hmHwpF1xnpOqtRjbqd5WFaj/CWBCAhQQIoAHouSAAmQAAmQAAmQ\nQDgEuo6pk+FXbZSi0bU6aXm7kBNOeRN8VssVqtZo2G82COItxXtC0Ni+J6j5n/abiQQ6AwHO\nQeoMZ4l9JAESIAESIAESSBgC6fktqkmqkO6HVcqWT3Jly2c50rg13WiEcJAmzKJP3VNDgNqh\nGfI1pUh6l2Y106uV4rE1khmGG+94AFcwol5K9quWzR+2n8MGi108HD/70LkIUEDqXOeLvSUB\nEiABEiABEkgQAplFLdLjsCrzaaxIlZofMqV+Y5o0VadKS0OKpGaIpOe1SFZpk+T0aRQEn+3M\nqeyoSmnckhYzZxWdmQ37Hl8EGCg2iudj0qRJJijnCy+8EMVak6+qBQsWyDnnnCOnnHKKXHTR\nRckHIIpHfPfdd8vTTz8tDz30kIwaNSqKNSdfVVOmTJG6ujqZPXt28h18JzniV155RWbMmCFX\nXnml4HwxeSdw1VVXybvvvisvv/yyIJAzk3cC48aNk5EjR8rDDz/svZIEK9moVoGN1SJpmaok\n2zHZA2FSmhv0o/t8Ldu3p2AYf0ec1w8+fleuv/kqOfv0C+XEKaduJ6JloG3DR+N4S2qOCpRZ\n/nVmFSQYPB5OuxCgBimKmBGB2m3E9yg2m3BVNTY2ypYtW6S2Vu2zmSIiUFNTY1g2NTVFVA8L\ni1RUVPA/Ged/hPr6evN/hyDLFBmBqqoqwxKhK5giI4Dn2bZt2yKrJMFKZ+SK4BNOSs1rkK0V\nW6Qls1byy8IpybwkED4BOmkInxlLkAAJkAAJkAAJkAAJkAAJJCgBCkgJemJ5WCRAAiRAAiRA\nAiRAAiRAAuEToIld+MxCljj88MMlNzdMnXHI2pJ3B+zdf/rTn8qIESOSF0KUjhwMwbK4uDhK\nNSZvNRMnTpSGBjWQZ4pbAn369DH/9wEDBsRtHztLx8aOHSvZ2dnm01n6HK/9xD2Y/8nIz05Z\nWZm5vocMGRJ5ZayBBNogQCcNbQDibhIgARIgARIgARIgARIggeQhQBO75DnXPFISIAESIAES\nIAESIAESIIE2CFBAagMQd5MACZAACZAACZAACZAACSQPgbQbNSXP4cbuSFeuXCmIwbFmzRrp\n0aOHZGaqc3+msAnApeyXX34pr732mqxbt0769u0r6emcKhc2SEeBTZs2ybPPPiu77767pKZy\nTMSBxvXikiVL5I033pBVq1YJ7OB5fbtG124ZEWLhiy++kDfffNPMFevdu3e7tZ1oDSE8AGIg\nzZkzx4SuwH+eKTICn376qXz99dcyaNCgyCpK0tJ4N5g7d6688847gmW8Z6Ug8BETCcSIAOcg\nRQHsE088YQLAHXjggUZAQiwOBOjs2rVrFGpPnirwIn/mmWdKVlaW7LHHHvLhhx+awLt/+ctf\npKCAkd68/BN8GnnviiuukHnz5pkXR77Yh0/x73//uzz44IOy3377GaH9u+++M+tDhw4NvzKW\niAkBCEfnnnuurF27ViZMmCAffPCBHHzwwXL55ZfHpL1ErvTVV1+V2267zQSWhtMhvJTCyQDu\nI0zeCKxfv15OP/1081ybOXOmt0qSuBRiI1599dWybNkygfOQjz76SIqKiuSRRx7hoF8S/y9i\nfegcmo+QMDRHjz76qNx1110yevRoQUBOPKife+458xth9UlV/IUXXpBevXrJ/fffb44bgWKn\nTJliWJ511llJxSJaBwumGLVk8kYAAR7vu+8++e1vfyuHHXaYqeSWW24x1/zNN9/srVKWijqB\nWbNmCQKb4r6bl5cnK1askGnTpsnkyZNl2LBhUW8vUSvEyPzjjz9unl3HH3+8Ocz33ntPrr32\nWjn22GOF3sPCP/NgetNNN1HbET46u8Trr78u3377rbnvlpaWCgahjzvuODPoZ92X7cxcIIEo\nEaC9TYQgMTKPl3oIR0gwB5s0aZIxx4mw6qQrjtHK0047zT7unJwcGT58uNHK2Ru54JoARtvw\nsnPeeee5LsOM/gRmz54tcB3tfAhffPHF1Ez4Y+rwNZiC4RxBOELq37+/jBw5kvfhMM/M5s2b\nzQi98/8+ZswYUwvMx5nCJ/DMM88Y4eiQQw4JvzBLGAIvvviiEYggHCHBygQD0/vuu69Z5xcJ\nxIIANUgRUoVJR6CtOwQmmIth5IhzPtwDdgpHKIWHNeYUXHDBBe4rYU5DACYJM2bMkLPPPnun\n/ycRuSfwww8/mJdtmGxBWKqrqxPEQzrqqKPcV8KcMSeA+zDuu86E9Q0bNjg3cbkNAngBDTRL\nxJyutLQ0auLaYBdsN7QeEJAefvhhefLJJ4Nl4TYXBGCpg+sZA36ff/65mb5w6qmnUqPpgh2z\neCdADZJ3dqYkHAkEzo/p0qWLEY4qKioirD15iyMgJ/yHYCQYph1M4RF46KGHpHv37vKzn/0s\nvILM7Udg48aNAgcN99xzj+y6667mwYz5GU899ZRfPq50HAGYNWNAKvA+jHUMsjB5J/D9998L\n5oCecsopZlK895qSryTMwGBahwG+nj17Jh+AKB0xHIbA3B7C0fz5880cQ7x3nXPOObJ8+fIo\ntcJqSGBnAtQg7cwkrC0ZGRlm3pGzEB7YSDAZYwqfwLZt28yETPzeeeedAsZM7glghA0eFfFA\nYYqMACb/w3Pd888/b78gYgAEbE8++WRqiCPDG5XS0G5AU2/dd61KsW6Z3Fnb+OueALyJYu4d\nTMPOOOMM9wWZ0xDA3EUM8B155JEkEgEB3IOR8vPzzfsAljH/aOrUqfL000/LNddcg01MJBB1\nAhSQIkQKk4TAUQy82MODHexkmcIjgJHgSy+91LzY3HvvvVJYWBheBcxtRnwhnFvekixN5nXX\nXSdHH3207L///qTkkkC3bt2M5gguZa0EL2lwfgHthGUTb+3jb/sTgKvf4uJiqays9Gsc92GO\n3Pshcb2COV033HCDnHDCCWak3nVBZjQE4LUO82ZGjRolV111ldkGbRwsI7AOj2zwwsbUNgEM\nSOFd6qCDDrIz45rH/CPMs2UigVgRoIAUIdmBAwcK3KJitNKK17Nw4ULO+/DAFQ+Viy66SAYP\nHmzM6yhgeoCoReC5C97XrITJ1fhPwuEFXiSZ3BNAzJJPPvlE4C7dirmBFx08tEtKStxXxJwx\nJYDzhP84/vtWgvdGjDQzhUfg7bffNqZhl1xyiRxzzDHhFWZuQwAOhhCywpkwoFJdXS0jRoyg\nVYQTjItlvGfBrM6Zli5dKgMGDHBu4jIJRJUABaQIcR566KHywAMPmDkJcCsLbRImc1PtGz7Y\nO+64wwQlhHvZRYsW2RVgLgFukEzuCATOO/rss8/MfxKTWhkHyR1DKxfivzz22GMm7hHMjHB9\nv/TSSybGjiUwWXn523EEIAhdf/31Jl4P5oohdhVG6+lMI7xzUl5eLrfeeqsZrcfL54IFC+wK\nELSbAyw2jlYX8MxC3CNnwnxGfAK3O/NwOTgBmDP/4Q9/MPOP4FURjkMwADJ9+vTgBbiVBKJA\ngAJShBCh5cBETHgMw8RtjBwhds/48eMjrDm5ikPLgcCwSBi5dKZ99tlHbr/9ducmLpNAuxCA\npuhPf/qTucZhVgdNEkwUYQbKFD8Exo0bJyeddJKZEI85i/AsCpNSzFtgck8AcxcxKf6NN97Y\nyUU65iM5NXTua2VOEoiMAObBwSMlTBNxD8Z7FrwtImgsEwnEikCK/tl8sao82eqFiRjmLNC1\nd7KdeR5vMhDA/DjLHj4ZjrczHiO0Rph7xLlhnfHssc8k0DoBOGzAfRgeWqnBb50V90ZOgAJS\n5AxZAwmQAAmQAAmQAAmQAAmQQIIQYBykBDmRPAwSIAESIAESIAESIAESIIHICVBAipwhayAB\nEiABEiABEiABEiABEkgQAhSQEuRE8jBIgARIgARIgARIgARIgAQiJ0ABKXKGrIEESIAESIAE\nSIAESIAESCBBCFBASpATycMgARIgARIgARIgARIgARKInAAFpMgZsgYSIAESIAESIAESIAES\nIIEEIUABKUFOJA+DBEiABEiABEiABEiABEggcgLpkVfBGuKdwBVXXCHffvutq27ut99+gojp\nXtPcuXPllltuMcURzO2vf/2r16qiXu7KK6+Ub775xtQ7ZswY+d3vfhe0jdtuu03ee+89s2/a\ntGlywgknBM0X7xtXr14tPXv2lLS0NLurF154oaxYscKsX3rppTJx4kR7HxdIgARiQ+Dzzz+X\nG264wXXl9913n/Tr1891/sCM8XydJ9t9+IcffpC+ffvapyien5F2J7lAAiQgFJCS4E/wwQcf\nyEcffeTqSLOzs13lC5Vp7dq18u9//9vs7t+/f6hsHbIdDyawQEIfDznkEDnooIPMuvPriy++\nsI9h3Lhxzl2dYrm+vl7uuOMOufnmm2Xjxo2Sk5Nj9/vdd9+Vr776yqxPnTrV3s4FEiCB2BHA\ndWjdF920cuutt7rJFjJPPF/nyXIfhlB88cUXCwYdZ86caZ+reH5G2p3kAgmQgNDEjn+CpCVw\n/vnnS2NjY0IdPx6+I0aMkGuvvVaqq6sT6th4MCRAAolHIBHvw7CiGDt2rD0gl3hnjUdEAolP\ngBqkxD/Hfkd4yimnyB/+8Ae/bc6V3Nxc52pCL8Pc7vbbb5err746YY5z06ZNsnTp0pDHA5PH\nqqoqsx+CFBMJkED7E/jkk0+kW7duIRvu1atXyH2JtiMR78OffvqptLS0BD1VBxxwgLz55ptm\nX6QWG0Eb4EYSIIGoEKCAFBWMnaeSLl26iBfTNzzEVq5cKeXl5VJQUCADBgyQkSNHejrwVatW\nmZf4NWvWSGFhoeBlYPfdd5eUlJSQ9dXU1MiXX34p0JDstttuMmTIEElNjVwB+vvf/15OPvlk\nczwhGw+xA3N55s+fL8XFxab/OJbWEh6Y3333nZkHBXZDhw412Tdv3iwwi0MqKSmRzMxMs+z8\ncsN/69atxqTOWW7dunWCh3BpaalkZGTIwIEDpampyWSx+gvzH2sb/h/5+fnOKsxyRUWF4Bwg\nob6uXbuaZesr3PNTV1dn5sXhP4VlzJUaPnx4qy+NVlv8JYHOTgBzUnr06BHWYeAaXLhwoeC+\n6fP5zL1ir732MvfjsCrSzF6vv3Cvc7f98nof9tIf3Cdh/ob78b777it5eXnS0NBgnm3oL+6/\nuA8HJjf8m5ubZcOGDYavVR6afDy3srKyzLMC99hdd93V7Lbmh9bW1gr6ZaWysjJr0f616rY2\nQMBOT/d/hQv3meTlWWy1z18SSHgCeqNlSnACOo/Gp39k8zn33HPDOtoPP/zQpw4N7PJWPfjV\nF1qfOn/wq++FF16w86og5rfv+++/9x1zzDH2fmddgwYN8r366qt++bGiJnC+a665xqcPEr9y\n+oLue/rpp3fK39oGtQX3q8Nq/6c//alfMRWY7Hz64PbbhxWdo+RT7Yudx1mPPhx3yo8NH3/8\nsQ/HaOXFrwpIPhV8fOoowd6uI4t+5cPh/4tf/MKux9kOltXu39Srgpmd59FHHzXbTjvtNHvb\nUUcd5de+teIsp1o3a7On86MT0H0qENltWn1VAc6HY9CXFbt+LpBAIhDAvc36n+NXBy5cH5YO\nXvguu+wyn77I+9WBenDN/M///M9OdTmvV+s6tzJ5uf7i7T7spT86CGU46kCczVEFDJ9aEPjU\nKY+9bf/997dQmd9w+OsAmF2P83xj+fDDDzf1BXtGLlmyxOfs17x58/z6gBVnORXgfCrk2nnC\nfSZ5eRbbjXGBBJKEAEaimBKcgFcBCTdt1TKEvOHjpo8btfNh77yJOwWkyspKI1A5Hxo6UudX\nt2o5fDrSZp8NHeHzEx6cZa1lCE9uk1NAOvDAA/3afvHFF+1qWhOQ3njjDV9gv62+4Bcv/jqK\nZ9eFBXUMYV5knPmsZdU++VQbZ/fFKSCFy9+rgIT+Wf3BC4PzfKL/n332mb0fx64aJ2z2eTk/\nDz/8sF0X2sRLAdq02sfvddddZ+rnFwkkCoFIBCT1SOd3fTivFWs58JoJJSB5uf68XOetnbdI\n78Ne+zN58uSQHPfcc097X6CAFA5/rwISeB122GF2H9BmYDr66KPt/RCYrRTuM8nLs9hqi78k\nkEwEKCAlwdl2CkhqHmWEGgg2gZ9AYQPaJusBrBNOfe+8845PXZb6IEyoeZu976mnnrIphhKQ\nnn/+eTv/oYceajRPajLggxAADY7Vzq9+9Su7rv/7v/+zt6tZnxkpVZM2nzog8OlcKbMPI6jL\nli2zy7S24HwwP/744z7nurrU9encHFM8lIAEzcawYcPsPkHIevn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IgARIgARIIDEJUEBKzPPKoyIBEiABEiABEiABEiABEvBAgAKSB2gs\nQgIkQAIkQAIkQAIkQAIkkJgEKCAl5nnlUZEACZAACZAACZAACZAACXgg8P/KiB3VgHwrvQAA\nAABJRU5ErkJggg==", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ggarrange(fig_mse_fp, fig_stab_fp, fig_mse_fn, fig_stab_fn, # list of plots\n", + " labels = \"AUTO\", # labels\n", + " common.legend = T, # COMMON LEGEND\n", + " legend = \"right\", # legend position\n", + " align = \"hv\", # Align them both, horizontal and vertical\n", + " nrow = 2, ncol=2)" + ] + }, + { + "cell_type": "code", + "execution_count": 82, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Using size for a discrete variable is not advised.”" + ] + }, + { + "data": { + "image/png": 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NrFUB1ZavCrrsyH6OgCrdHSqJU2QtG7QPW8fm8yNjWVUNMOtXGBGoXaXVBGuxbk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\nP/roo+PmHO/d39X3hj1IMfDef//9duedd9o+++xj8+bNs6amJ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alxStLGG29spaWlMcst099SrIYMGeJMeitge3u7m3kaPXq0yTJdPJk+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\nIzn++OMlPT1dvvvd78oDDzwgP/rRj6xb8DR46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YPEbv5Zydxil53T1zkNHxBAAAEEEEAAAQQQQCC8BXwKkLQKw4cPl5tuuslrbfRKkj6T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\ngEAUC/w/t6Y2Zwzi6NEAAAAASUVORK5CYII=", + "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#fig_N <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=method, size=N)) + geom_point() + theme(legend.position=\"top\")\n", + "#fig_P <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=method, size=P)) + geom_point() + theme(legend.position=\"top\")\n", + "# fig_r <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=method, size=Ratio)) + geom_point() + \n", + "# theme(legend.position=\"top\") + scale_size_discrete(range = c(1,7))\n", + "fig_r <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=Ratio, shape=method)) + geom_point() + \n", + " theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_all <- ggplot(dat, aes(x=Stab, y=MSE_mean, color=P, size=N, shape=method)) + geom_point() + \n", + " theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "grid.arrange(fig_all, fig_r, ncol=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 85, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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O8fKl1Mx8JwfjKJb4VjvTcYTlYu1nORHjeUX7A08Y4Ea/ijQYFPIMF0PrOGKdB5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\nMvJ8024Tllvj4uL8ScJwz/CMnlnKwt8pdvy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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig_mse_fp <- ggplot(dat, aes(x=FP_mean, y=MSE_mean, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_stab_fp <- ggplot(dat, aes(x=FP_mean, y=Stab, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_mse_fn <- ggplot(dat, aes(x=FN_mean, y=MSE_mean, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"none\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_stab_fn <- ggplot(dat, aes(x=FN_mean, y=Stab, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"none\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "grid.arrange(fig_mse_fp, fig_stab_fp, fig_mse_fn, fig_stab_fn, ncol=2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_toe_compLasso.ipynb b/simulations/notebooks_simulations/sim_toe_compLasso.ipynb new file mode 100644 index 0000000..c37587e --- /dev/null +++ b/simulations/notebooks_simulations/sim_toe_compLasso.ipynb @@ -0,0 +1,816 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/toe_compLasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_toe_compLasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_toe = NULL\n", + "tmp_num_select = rep(0, length(results_toe_compLasso))\n", + "for (i in 1:length(results_toe_compLasso)){\n", + " table_toe = rbind(table_toe, results_toe_compLasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_toe_compLasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_toe = as.data.frame(table_toe)\n", + "table_toe$num_select = tmp_num_select\n", + "table_toe$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + 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    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 3.68 ( 0.29 )0.06 ( 0.03 )0.88 ( 0.05 )0.56 9.62 0.33
    100 50 0.1 1.51 ( 0.35 )0 ( 0 ) 0.87 ( 0.05 )0.77 7.51 0.12
    500 50 0.1 0.73 ( 0.19 )0 ( 0 ) 0.99 ( 0.05 )0.88 6.73 0.07
    1000 50 0.1 0.55 ( 0.17 )0 ( 0 ) 1.09 ( 0.04 )0.9 6.55 0.05
    50 100 0.1 4.24 ( 0.3 ) 0.23 ( 0.06 )1.12 ( 0.1 ) 0.53 10.01 0.37
    100 100 0.1 1.51 ( 0.34 )0 ( 0 ) 0.85 ( 0.04 )0.79 7.51 0.13
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 3.68 ( 0.29 ) & 0.06 ( 0.03 ) & 0.88 ( 0.05 ) & 0.56 & 9.62 & 0.33 \\\\\n", + "\t 100 & 50 & 0.1 & 1.51 ( 0.35 ) & 0 ( 0 ) & 0.87 ( 0.05 ) & 0.77 & 7.51 & 0.12 \\\\\n", + "\t 500 & 50 & 0.1 & 0.73 ( 0.19 ) & 0 ( 0 ) & 0.99 ( 0.05 ) & 0.88 & 6.73 & 0.07 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.55 ( 0.17 ) & 0 ( 0 ) & 1.09 ( 0.04 ) & 0.9 & 6.55 & 0.05 \\\\\n", + "\t 50 & 100 & 0.1 & 4.24 ( 0.3 ) & 0.23 ( 0.06 ) & 1.12 ( 0.1 ) & 0.53 & 10.01 & 0.37 \\\\\n", + "\t 100 & 100 & 0.1 & 1.51 ( 0.34 ) & 0 ( 0 ) & 0.85 ( 0.04 ) & 0.79 & 7.51 & 0.13 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 3.68 ( 0.29 ) | 0.06 ( 0.03 ) | 0.88 ( 0.05 ) | 0.56 | 9.62 | 0.33 |\n", + "| 100 | 50 | 0.1 | 1.51 ( 0.35 ) | 0 ( 0 ) | 0.87 ( 0.05 ) | 0.77 | 7.51 | 0.12 |\n", + "| 500 | 50 | 0.1 | 0.73 ( 0.19 ) | 0 ( 0 ) | 0.99 ( 0.05 ) | 0.88 | 6.73 | 0.07 |\n", + "| 1000 | 50 | 0.1 | 0.55 ( 0.17 ) | 0 ( 0 ) | 1.09 ( 0.04 ) | 0.9 | 6.55 | 0.05 |\n", + "| 50 | 100 | 0.1 | 4.24 ( 0.3 ) | 0.23 ( 0.06 ) | 1.12 ( 0.1 ) | 0.53 | 10.01 | 0.37 |\n", + "| 100 | 100 | 0.1 | 1.51 ( 0.34 ) | 0 ( 0 ) | 0.85 ( 0.04 ) | 0.79 | 7.51 | 0.13 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 3.68 ( 0.29 ) 0.06 ( 0.03 ) 0.88 ( 0.05 ) 0.56 9.62 0.33\n", + "2 100 50 0.1 1.51 ( 0.35 ) 0 ( 0 ) 0.87 ( 0.05 ) 0.77 7.51 0.12\n", + "3 500 50 0.1 0.73 ( 0.19 ) 0 ( 0 ) 0.99 ( 0.05 ) 0.88 6.73 0.07\n", + "4 1000 50 0.1 0.55 ( 0.17 ) 0 ( 0 ) 1.09 ( 0.04 ) 0.9 6.55 0.05\n", + "5 50 100 0.1 4.24 ( 0.3 ) 0.23 ( 0.06 ) 1.12 ( 0.1 ) 0.53 10.01 0.37\n", + "6 100 100 0.1 1.51 ( 0.34 ) 0 ( 0 ) 0.85 ( 0.04 ) 0.79 7.51 0.13" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_toe <- apply(table_toe,2,as.character)\n", + "rownames(result.table_toe) = rownames(table_toe)\n", + "result.table_toe = as.data.frame(result.table_toe)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_toe$n = tidyr::extract_numeric(result.table_toe$n)\n", + "result.table_toe$p = tidyr::extract_numeric(result.table_toe$p)\n", + "result.table_toe$ratio = result.table_toe$p / result.table_toe$n\n", + "\n", + "result.table_toe = result.table_toe[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_toe)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_toe$Stab = as.numeric(as.character(result.table_toe$Stab))\n", + "result.table_toe$MSE_mean = as.numeric(substr(result.table_toe$MSE, start=1, stop=4))\n", + "result.table_toe$FP_mean = as.numeric(substr(result.table_toe$FP, start=1, stop=4))\n", + "result.table_toe$FN_mean = as.numeric(substr(result.table_toe$FN, start=1, stop=4))\n", + "result.table_toe$FN_mean[is.na(result.table_toe$FN_mean)] = 0\n", + "result.table_toe$num_select = as.numeric(as.character(result.table_toe$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select FDR MSE_mean FP_mean FN_mean" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_toe[rowSums(is.na(result.table_toe)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.56 0.88 ( 0.05 )3.68 ( 0.29 )0.06 ( 0.03 ) 9.62 0.33 0.88 3.68 0.06
    100 50 0.1 0.50 0.77 0.87 ( 0.05 )1.51 ( 0.35 )0 ( 0 ) 7.51 0.12 0.87 1.51 0.00
    500 50 0.1 0.10 0.88 0.99 ( 0.05 )0.73 ( 0.19 )0 ( 0 ) 6.73 0.07 0.99 0.73 0.00
    1000 50 0.1 0.05 0.90 1.09 ( 0.04 )0.55 ( 0.17 )0 ( 0 ) 6.55 0.05 1.09 0.55 0.00
    50 100 0.1 2.00 0.53 1.12 ( 0.1 ) 4.24 ( 0.3 ) 0.23 ( 0.06 )10.01 0.37 1.12 4.24 0.23
    100 100 0.1 1.00 0.79 0.85 ( 0.04 )1.51 ( 0.34 )0 ( 0 ) 7.51 0.13 0.85 1.51 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.56 & 0.88 ( 0.05 ) & 3.68 ( 0.29 ) & 0.06 ( 0.03 ) & 9.62 & 0.33 & 0.88 & 3.68 & 0.06 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.77 & 0.87 ( 0.05 ) & 1.51 ( 0.35 ) & 0 ( 0 ) & 7.51 & 0.12 & 0.87 & 1.51 & 0.00 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.88 & 0.99 ( 0.05 ) & 0.73 ( 0.19 ) & 0 ( 0 ) & 6.73 & 0.07 & 0.99 & 0.73 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.90 & 1.09 ( 0.04 ) & 0.55 ( 0.17 ) & 0 ( 0 ) & 6.55 & 0.05 & 1.09 & 0.55 & 0.00 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.53 & 1.12 ( 0.1 ) & 4.24 ( 0.3 ) & 0.23 ( 0.06 ) & 10.01 & 0.37 & 1.12 & 4.24 & 0.23 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.79 & 0.85 ( 0.04 ) & 1.51 ( 0.34 ) & 0 ( 0 ) & 7.51 & 0.13 & 0.85 & 1.51 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.56 | 0.88 ( 0.05 ) | 3.68 ( 0.29 ) | 0.06 ( 0.03 ) | 9.62 | 0.33 | 0.88 | 3.68 | 0.06 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.77 | 0.87 ( 0.05 ) | 1.51 ( 0.35 ) | 0 ( 0 ) | 7.51 | 0.12 | 0.87 | 1.51 | 0.00 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.88 | 0.99 ( 0.05 ) | 0.73 ( 0.19 ) | 0 ( 0 ) | 6.73 | 0.07 | 0.99 | 0.73 | 0.00 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.90 | 1.09 ( 0.04 ) | 0.55 ( 0.17 ) | 0 ( 0 ) | 6.55 | 0.05 | 1.09 | 0.55 | 0.00 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.53 | 1.12 ( 0.1 ) | 4.24 ( 0.3 ) | 0.23 ( 0.06 ) | 10.01 | 0.37 | 1.12 | 4.24 | 0.23 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.79 | 0.85 ( 0.04 ) | 1.51 ( 0.34 ) | 0 ( 0 ) | 7.51 | 0.13 | 0.85 | 1.51 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.56 0.88 ( 0.05 ) 3.68 ( 0.29 ) 0.06 ( 0.03 ) 9.62 \n", + "2 100 50 0.1 0.50 0.77 0.87 ( 0.05 ) 1.51 ( 0.35 ) 0 ( 0 ) 7.51 \n", + "3 500 50 0.1 0.10 0.88 0.99 ( 0.05 ) 0.73 ( 0.19 ) 0 ( 0 ) 6.73 \n", + "4 1000 50 0.1 0.05 0.90 1.09 ( 0.04 ) 0.55 ( 0.17 ) 0 ( 0 ) 6.55 \n", + "5 50 100 0.1 2.00 0.53 1.12 ( 0.1 ) 4.24 ( 0.3 ) 0.23 ( 0.06 ) 10.01 \n", + "6 100 100 0.1 1.00 0.79 0.85 ( 0.04 ) 1.51 ( 0.34 ) 0 ( 0 ) 7.51 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.33 0.88 3.68 0.06 \n", + "2 0.12 0.87 1.51 0.00 \n", + "3 0.07 0.99 0.73 0.00 \n", + "4 0.05 1.09 0.55 0.00 \n", + "5 0.37 1.12 4.24 0.23 \n", + "6 0.13 0.85 1.51 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    75 500 500 0.9 1.0 0.41 0.34 ( 0.01 ) 8.17 ( 0.48 ) 0.17 ( 0.04 ) 14.00 0.54 0.34 8.17 0.17
    761000 500 0.9 0.5 0.58 0.32 ( 0 ) 4.24 ( 0.3 ) 0.01 ( 0.01 ) 10.23 0.37 0.32 4.24 0.01
    77 50 1000 0.9 20.0 0.19 1.04 ( 0.06 ) 5.24 ( 0.46 ) 4.23 ( 0.08 ) 7.01 0.6 1.04 5.24 4.23
    78 100 1000 0.9 10.0 0.22 0.67 ( 0.02 ) 9.03 ( 0.73 ) 3.02 ( 0.07 ) 12.01 0.66 0.67 9.03 3.02
    79 500 1000 0.9 2.0 0.34 0.35 ( 0.01 ) 10.52 ( 0.68 )0.32 ( 0.05 ) 16.20 0.59 0.35 10.50 0.32
    801000 1000 0.9 1.0 0.57 0.33 ( 0 ) 4.48 ( 0.3 ) 0.01 ( 0.01 ) 10.47 0.39 0.33 4.48 0.01
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.41 & 0.34 ( 0.01 ) & 8.17 ( 0.48 ) & 0.17 ( 0.04 ) & 14.00 & 0.54 & 0.34 & 8.17 & 0.17 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.58 & 0.32 ( 0 ) & 4.24 ( 0.3 ) & 0.01 ( 0.01 ) & 10.23 & 0.37 & 0.32 & 4.24 & 0.01 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.19 & 1.04 ( 0.06 ) & 5.24 ( 0.46 ) & 4.23 ( 0.08 ) & 7.01 & 0.6 & 1.04 & 5.24 & 4.23 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.22 & 0.67 ( 0.02 ) & 9.03 ( 0.73 ) & 3.02 ( 0.07 ) & 12.01 & 0.66 & 0.67 & 9.03 & 3.02 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.34 & 0.35 ( 0.01 ) & 10.52 ( 0.68 ) & 0.32 ( 0.05 ) & 16.20 & 0.59 & 0.35 & 10.50 & 0.32 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.57 & 0.33 ( 0 ) & 4.48 ( 0.3 ) & 0.01 ( 0.01 ) & 10.47 & 0.39 & 0.33 & 4.48 & 0.01 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.41 | 0.34 ( 0.01 ) | 8.17 ( 0.48 ) | 0.17 ( 0.04 ) | 14.00 | 0.54 | 0.34 | 8.17 | 0.17 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.58 | 0.32 ( 0 ) | 4.24 ( 0.3 ) | 0.01 ( 0.01 ) | 10.23 | 0.37 | 0.32 | 4.24 | 0.01 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.19 | 1.04 ( 0.06 ) | 5.24 ( 0.46 ) | 4.23 ( 0.08 ) | 7.01 | 0.6 | 1.04 | 5.24 | 4.23 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.22 | 0.67 ( 0.02 ) | 9.03 ( 0.73 ) | 3.02 ( 0.07 ) | 12.01 | 0.66 | 0.67 | 9.03 | 3.02 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.34 | 0.35 ( 0.01 ) | 10.52 ( 0.68 ) | 0.32 ( 0.05 ) | 16.20 | 0.59 | 0.35 | 10.50 | 0.32 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.57 | 0.33 ( 0 ) | 4.48 ( 0.3 ) | 0.01 ( 0.01 ) | 10.47 | 0.39 | 0.33 | 4.48 | 0.01 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.41 0.34 ( 0.01 ) 8.17 ( 0.48 ) 0.17 ( 0.04 )\n", + "76 1000 500 0.9 0.5 0.58 0.32 ( 0 ) 4.24 ( 0.3 ) 0.01 ( 0.01 )\n", + "77 50 1000 0.9 20.0 0.19 1.04 ( 0.06 ) 5.24 ( 0.46 ) 4.23 ( 0.08 )\n", + "78 100 1000 0.9 10.0 0.22 0.67 ( 0.02 ) 9.03 ( 0.73 ) 3.02 ( 0.07 )\n", + "79 500 1000 0.9 2.0 0.34 0.35 ( 0.01 ) 10.52 ( 0.68 ) 0.32 ( 0.05 )\n", + "80 1000 1000 0.9 1.0 0.57 0.33 ( 0 ) 4.48 ( 0.3 ) 0.01 ( 0.01 )\n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 14.00 0.54 0.34 8.17 0.17 \n", + "76 10.23 0.37 0.32 4.24 0.01 \n", + "77 7.01 0.6 1.04 5.24 4.23 \n", + "78 12.01 0.66 0.67 9.03 3.02 \n", + "79 16.20 0.59 0.35 10.50 0.32 \n", + "80 10.47 0.39 0.33 4.48 0.01 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_toe, '../results_summary/sim_toe_compLasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_toe_compLasso.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_toe$N = as.factor(result.table_toe$N)\n", + "fig_toe_stab = ggplot(result.table_toe, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_toe_mse = ggplot(result.table_toe, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_toe_fp = ggplot(result.table_toe, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_toe_fn = ggplot(result.table_toe, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_toe_stab, fig_toe_mse, fig_toe_fp, fig_toe_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Toeplitz_compLasso\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_toe_compLasso.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", 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    NPCorrRatioStabMSEFPFNMSE_meanFP_meanFN_mean
    150 50 0.1 1.0 0.56 0.88 ( 0.05 )3.68 ( 0.29 )0.06 ( 0.03 )0.88 3.68 0.06
    1750 50 0.3 1.0 0.50 0.76 ( 0.05 )4.6 ( 0.27 ) 0.07 ( 0.03 )0.76 4.60 0.07
    3350 50 0.5 1.0 0.44 0.72 ( 0.05 )5.25 ( 0.31 )0.24 ( 0.06 )0.72 5.25 0.24
    4950 50 0.7 1.0 0.36 0.76 ( 0.05 )5.83 ( 0.31 )0.81 ( 0.1 ) 0.76 5.83 0.81
    6550 50 0.9 1.0 0.32 0.54 ( 0.03 )4.91 ( 0.32 )1.96 ( 0.11 )0.54 4.91 1.96
    550 100 0.1 2.0 0.53 1.12 ( 0.1 ) 4.24 ( 0.3 ) 0.23 ( 0.06 )1.12 4.24 0.23
    2150 100 0.3 2.0 0.43 1.12 ( 0.07 )5.19 ( 0.3 ) 0.63 ( 0.09 )1.12 5.19 0.63
    3750 100 0.5 2.0 0.37 1.15 ( 0.07 )5.35 ( 0.36 )1.25 ( 0.11 )1.15 5.35 1.25
    5350 100 0.7 2.0 0.31 0.99 ( 0.06 )5.89 ( 0.36 )1.88 ( 0.11 )0.99 5.89 1.88
    6950 100 0.9 2.0 0.31 0.66 ( 0.04 )4.9 ( 0.33 ) 2.83 ( 0.09 )0.66 4.90 2.83
    950 500 0.1 10.0 0.36 2.54 ( 0.18 )5.13 ( 0.35 )1.78 ( 0.12 )2.54 5.13 1.78
    2550 500 0.3 10.0 0.29 2.5 ( 0.14 ) 5.62 ( 0.34 )2.39 ( 0.12 )2.50 5.62 2.39
    4150 500 0.5 10.0 0.29 2.28 ( 0.14 )5.5 ( 0.38 ) 2.81 ( 0.1 ) 2.28 5.50 2.81
    5750 500 0.7 10.0 0.27 1.81 ( 0.09 )5.27 ( 0.39 )3.43 ( 0.09 )1.81 5.27 3.43
    7350 500 0.9 10.0 0.23 0.89 ( 0.05 )5.88 ( 0.44 )3.74 ( 0.07 )0.89 5.88 3.74
    1350 1000 0.1 20.0 0.29 3.37 ( 0.2 ) 4.59 ( 0.36 )2.63 ( 0.15 )3.37 4.59 2.63
    2950 1000 0.3 20.0 0.28 2.99 ( 0.17 )4.75 ( 0.36 )3 ( 0.13 ) 2.99 4.75 0.00
    4550 1000 0.5 20.0 0.23 2.44 ( 0.13 )5.82 ( 0.36 )3.37 ( 0.1 ) 2.44 5.82 3.37
    6150 1000 0.7 20.0 0.21 1.81 ( 0.08 )6.05 ( 0.39 )3.58 ( 0.1 ) 1.81 6.05 3.58
    7750 1000 0.9 20.0 0.19 1.04 ( 0.06 )5.24 ( 0.46 )4.23 ( 0.08 )1.04 5.24 4.23
    2100 50 0.1 0.5 0.77 0.87 ( 0.05 )1.51 ( 0.35 )0 ( 0 ) 0.87 1.51 0.00
    18100 50 0.3 0.5 0.75 0.7 ( 0.04 ) 1.65 ( 0.28 )0 ( 0 ) 0.70 1.65 0.00
    34100 50 0.5 0.5 0.62 0.55 ( 0.02 )2.98 ( 0.3 ) 0 ( 0 ) 0.55 2.98 0.00
    50100 50 0.7 0.5 0.48 0.43 ( 0.02 )4.89 ( 0.38 )0.08 ( 0.03 )0.43 4.89 0.08
    66100 50 0.9 0.5 0.35 0.41 ( 0.02 )5.64 ( 0.41 )0.96 ( 0.11 )0.41 5.64 0.96
    6100 100 0.1 1.0 0.79 0.85 ( 0.04 )1.51 ( 0.34 )0 ( 0 ) 0.85 1.51 0.00
    22100 100 0.3 1.0 0.70 0.73 ( 0.04 )2.38 ( 0.32 )0 ( 0 ) 0.73 2.38 0.00
    38100 100 0.5 1.0 0.59 0.68 ( 0.03 )3.57 ( 0.36 )0.06 ( 0.02 )0.68 3.57 0.06
    54100 100 0.7 1.0 0.41 0.48 ( 0.02 )6.91 ( 0.55 )0.22 ( 0.05 )0.48 6.91 0.22
    70100 100 0.9 1.0 0.32 0.47 ( 0.02 )6.56 ( 0.48 )1.45 ( 0.11 )0.47 6.56 1.45
    ....................................
    11500 500 0.1 1.00 0.96 1.1 ( 0.04 ) 0.25 ( 0.08 ) 0 ( 0 ) 1.10 0.25 0.00
    27500 500 0.3 1.00 0.96 0.93 ( 0.03 ) 0.25 ( 0.08 ) 0 ( 0 ) 0.93 0.25 0.00
    43500 500 0.5 1.00 0.93 0.67 ( 0.02 ) 0.45 ( 0.12 ) 0 ( 0 ) 0.67 0.45 0.00
    59500 500 0.7 1.00 0.74 0.46 ( 0.01 ) 2.11 ( 0.26 ) 0 ( 0 ) 0.46 2.11 0.00
    75500 500 0.9 1.00 0.41 0.34 ( 0.01 ) 8.17 ( 0.48 ) 0.17 ( 0.04 ) 0.34 8.17 0.17
    15500 1000 0.1 2.00 0.96 1.1 ( 0.03 ) 0.24 ( 0.1 ) 0 ( 0 ) 1.10 0.24 0.00
    31500 1000 0.3 2.00 0.96 0.89 ( 0.03 ) 0.28 ( 0.09 ) 0 ( 0 ) 0.89 0.28 0.00
    47500 1000 0.5 2.00 0.96 0.7 ( 0.02 ) 0.22 ( 0.06 ) 0 ( 0 ) 0.70 0.22 0.00
    63500 1000 0.7 2.00 0.69 0.47 ( 0.01 ) 2.72 ( 0.33 ) 0 ( 0 ) 0.47 2.72 0.00
    79500 1000 0.9 2.00 0.34 0.35 ( 0.01 ) 10.52 ( 0.68 )0.32 ( 0.05 ) 0.35 10.50 0.32
    41000 50 0.1 0.05 0.90 1.09 ( 0.04 ) 0.55 ( 0.17 ) 0 ( 0 ) 1.09 0.55 0.00
    201000 50 0.3 0.05 0.93 0.92 ( 0.03 ) 0.38 ( 0.1 ) 0 ( 0 ) 0.92 0.38 0.00
    361000 50 0.5 0.05 0.93 0.67 ( 0.02 ) 0.39 ( 0.12 ) 0 ( 0 ) 0.67 0.39 0.00
    521000 50 0.7 0.05 0.88 0.45 ( 0.01 ) 0.74 ( 0.13 ) 0 ( 0 ) 0.45 0.74 0.00
    681000 50 0.9 0.05 0.71 0.3 ( 0 ) 2.18 ( 0.19 ) 0 ( 0 ) 0.30 2.18 0.00
    81000 100 0.1 0.10 0.93 1.03 ( 0.04 ) 0.42 ( 0.12 ) 0 ( 0 ) 1.03 0.42 0.00
    241000 100 0.3 0.10 0.93 0.87 ( 0.04 ) 0.41 ( 0.08 ) 0 ( 0 ) 0.87 0.41 0.00
    401000 100 0.5 0.10 0.95 0.71 ( 0.02 ) 0.27 ( 0.09 ) 0 ( 0 ) 0.71 0.27 0.00
    561000 100 0.7 0.10 0.92 0.48 ( 0.01 ) 0.5 ( 0.14 ) 0 ( 0 ) 0.48 0.50 0.00
    721000 100 0.9 0.10 0.67 0.3 ( 0 ) 2.85 ( 0.24 ) 0 ( 0 ) 0.30 2.85 0.00
    121000 500 0.1 0.50 0.96 1.18 ( 0.04 ) 0.24 ( 0.08 ) 0 ( 0 ) 1.18 0.24 0.00
    281000 500 0.3 0.50 0.94 0.9 ( 0.03 ) 0.38 ( 0.1 ) 0 ( 0 ) 0.90 0.38 0.00
    441000 500 0.5 0.50 0.94 0.69 ( 0.02 ) 0.35 ( 0.1 ) 0 ( 0 ) 0.69 0.35 0.00
    601000 500 0.7 0.50 0.87 0.46 ( 0.01 ) 0.93 ( 0.16 ) 0 ( 0 ) 0.46 0.93 0.00
    761000 500 0.9 0.50 0.58 0.32 ( 0 ) 4.24 ( 0.3 ) 0.01 ( 0.01 ) 0.32 4.24 0.01
    161000 1000 0.1 1.00 0.97 1.16 ( 0.03 ) 0.16 ( 0.06 ) 0 ( 0 ) 1.16 0.16 0.00
    321000 1000 0.3 1.00 0.95 0.93 ( 0.03 ) 0.29 ( 0.09 ) 0 ( 0 ) 0.93 0.29 0.00
    481000 1000 0.5 1.00 0.95 0.71 ( 0.02 ) 0.33 ( 0.13 ) 0 ( 0 ) 0.71 0.33 0.00
    641000 1000 0.7 1.00 0.91 0.5 ( 0.01 ) 0.57 ( 0.16 ) 0 ( 0 ) 0.50 0.57 0.00
    801000 1000 0.9 1.00 0.57 0.33 ( 0 ) 4.48 ( 0.3 ) 0.01 ( 0.01 ) 0.33 4.48 0.01
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.56 & 0.88 ( 0.05 ) & 3.68 ( 0.29 ) & 0.06 ( 0.03 ) & 0.88 & 3.68 & 0.06 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.50 & 0.76 ( 0.05 ) & 4.6 ( 0.27 ) & 0.07 ( 0.03 ) & 0.76 & 4.60 & 0.07 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.44 & 0.72 ( 0.05 ) & 5.25 ( 0.31 ) & 0.24 ( 0.06 ) & 0.72 & 5.25 & 0.24 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.36 & 0.76 ( 0.05 ) & 5.83 ( 0.31 ) & 0.81 ( 0.1 ) & 0.76 & 5.83 & 0.81 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.32 & 0.54 ( 0.03 ) & 4.91 ( 0.32 ) & 1.96 ( 0.11 ) & 0.54 & 4.91 & 1.96 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.53 & 1.12 ( 0.1 ) & 4.24 ( 0.3 ) & 0.23 ( 0.06 ) & 1.12 & 4.24 & 0.23 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.43 & 1.12 ( 0.07 ) & 5.19 ( 0.3 ) & 0.63 ( 0.09 ) & 1.12 & 5.19 & 0.63 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.37 & 1.15 ( 0.07 ) & 5.35 ( 0.36 ) & 1.25 ( 0.11 ) & 1.15 & 5.35 & 1.25 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.31 & 0.99 ( 0.06 ) & 5.89 ( 0.36 ) & 1.88 ( 0.11 ) & 0.99 & 5.89 & 1.88 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.31 & 0.66 ( 0.04 ) & 4.9 ( 0.33 ) & 2.83 ( 0.09 ) & 0.66 & 4.90 & 2.83 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.36 & 2.54 ( 0.18 ) & 5.13 ( 0.35 ) & 1.78 ( 0.12 ) & 2.54 & 5.13 & 1.78 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.29 & 2.5 ( 0.14 ) & 5.62 ( 0.34 ) & 2.39 ( 0.12 ) & 2.50 & 5.62 & 2.39 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.29 & 2.28 ( 0.14 ) & 5.5 ( 0.38 ) & 2.81 ( 0.1 ) & 2.28 & 5.50 & 2.81 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.27 & 1.81 ( 0.09 ) & 5.27 ( 0.39 ) & 3.43 ( 0.09 ) & 1.81 & 5.27 & 3.43 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.23 & 0.89 ( 0.05 ) & 5.88 ( 0.44 ) & 3.74 ( 0.07 ) & 0.89 & 5.88 & 3.74 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.29 & 3.37 ( 0.2 ) & 4.59 ( 0.36 ) & 2.63 ( 0.15 ) & 3.37 & 4.59 & 2.63 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.28 & 2.99 ( 0.17 ) & 4.75 ( 0.36 ) & 3 ( 0.13 ) & 2.99 & 4.75 & 0.00 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.23 & 2.44 ( 0.13 ) & 5.82 ( 0.36 ) & 3.37 ( 0.1 ) & 2.44 & 5.82 & 3.37 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.21 & 1.81 ( 0.08 ) & 6.05 ( 0.39 ) & 3.58 ( 0.1 ) & 1.81 & 6.05 & 3.58 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.19 & 1.04 ( 0.06 ) & 5.24 ( 0.46 ) & 4.23 ( 0.08 ) & 1.04 & 5.24 & 4.23 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.77 & 0.87 ( 0.05 ) & 1.51 ( 0.35 ) & 0 ( 0 ) & 0.87 & 1.51 & 0.00 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.75 & 0.7 ( 0.04 ) & 1.65 ( 0.28 ) & 0 ( 0 ) & 0.70 & 1.65 & 0.00 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.62 & 0.55 ( 0.02 ) & 2.98 ( 0.3 ) & 0 ( 0 ) & 0.55 & 2.98 & 0.00 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.48 & 0.43 ( 0.02 ) & 4.89 ( 0.38 ) & 0.08 ( 0.03 ) & 0.43 & 4.89 & 0.08 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.35 & 0.41 ( 0.02 ) & 5.64 ( 0.41 ) & 0.96 ( 0.11 ) & 0.41 & 5.64 & 0.96 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.79 & 0.85 ( 0.04 ) & 1.51 ( 0.34 ) & 0 ( 0 ) & 0.85 & 1.51 & 0.00 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.70 & 0.73 ( 0.04 ) & 2.38 ( 0.32 ) & 0 ( 0 ) & 0.73 & 2.38 & 0.00 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.59 & 0.68 ( 0.03 ) & 3.57 ( 0.36 ) & 0.06 ( 0.02 ) & 0.68 & 3.57 & 0.06 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.41 & 0.48 ( 0.02 ) & 6.91 ( 0.55 ) & 0.22 ( 0.05 ) & 0.48 & 6.91 & 0.22 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.32 & 0.47 ( 0.02 ) & 6.56 ( 0.48 ) & 1.45 ( 0.11 ) & 0.47 & 6.56 & 1.45 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.96 & 1.1 ( 0.04 ) & 0.25 ( 0.08 ) & 0 ( 0 ) & 1.10 & 0.25 & 0.00 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.96 & 0.93 ( 0.03 ) & 0.25 ( 0.08 ) & 0 ( 0 ) & 0.93 & 0.25 & 0.00 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.93 & 0.67 ( 0.02 ) & 0.45 ( 0.12 ) & 0 ( 0 ) & 0.67 & 0.45 & 0.00 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.74 & 0.46 ( 0.01 ) & 2.11 ( 0.26 ) & 0 ( 0 ) & 0.46 & 2.11 & 0.00 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.41 & 0.34 ( 0.01 ) & 8.17 ( 0.48 ) & 0.17 ( 0.04 ) & 0.34 & 8.17 & 0.17 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.96 & 1.1 ( 0.03 ) & 0.24 ( 0.1 ) & 0 ( 0 ) & 1.10 & 0.24 & 0.00 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.96 & 0.89 ( 0.03 ) & 0.28 ( 0.09 ) & 0 ( 0 ) & 0.89 & 0.28 & 0.00 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.96 & 0.7 ( 0.02 ) & 0.22 ( 0.06 ) & 0 ( 0 ) & 0.70 & 0.22 & 0.00 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.69 & 0.47 ( 0.01 ) & 2.72 ( 0.33 ) & 0 ( 0 ) & 0.47 & 2.72 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.34 & 0.35 ( 0.01 ) & 10.52 ( 0.68 ) & 0.32 ( 0.05 ) & 0.35 & 10.50 & 0.32 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.90 & 1.09 ( 0.04 ) & 0.55 ( 0.17 ) & 0 ( 0 ) & 1.09 & 0.55 & 0.00 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.93 & 0.92 ( 0.03 ) & 0.38 ( 0.1 ) & 0 ( 0 ) & 0.92 & 0.38 & 0.00 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.93 & 0.67 ( 0.02 ) & 0.39 ( 0.12 ) & 0 ( 0 ) & 0.67 & 0.39 & 0.00 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.88 & 0.45 ( 0.01 ) & 0.74 ( 0.13 ) & 0 ( 0 ) & 0.45 & 0.74 & 0.00 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.71 & 0.3 ( 0 ) & 2.18 ( 0.19 ) & 0 ( 0 ) & 0.30 & 2.18 & 0.00 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.93 & 1.03 ( 0.04 ) & 0.42 ( 0.12 ) & 0 ( 0 ) & 1.03 & 0.42 & 0.00 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.93 & 0.87 ( 0.04 ) & 0.41 ( 0.08 ) & 0 ( 0 ) & 0.87 & 0.41 & 0.00 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.95 & 0.71 ( 0.02 ) & 0.27 ( 0.09 ) & 0 ( 0 ) & 0.71 & 0.27 & 0.00 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.92 & 0.48 ( 0.01 ) & 0.5 ( 0.14 ) & 0 ( 0 ) & 0.48 & 0.50 & 0.00 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.67 & 0.3 ( 0 ) & 2.85 ( 0.24 ) & 0 ( 0 ) & 0.30 & 2.85 & 0.00 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.96 & 1.18 ( 0.04 ) & 0.24 ( 0.08 ) & 0 ( 0 ) & 1.18 & 0.24 & 0.00 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.94 & 0.9 ( 0.03 ) & 0.38 ( 0.1 ) & 0 ( 0 ) & 0.90 & 0.38 & 0.00 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.94 & 0.69 ( 0.02 ) & 0.35 ( 0.1 ) & 0 ( 0 ) & 0.69 & 0.35 & 0.00 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.87 & 0.46 ( 0.01 ) & 0.93 ( 0.16 ) & 0 ( 0 ) & 0.46 & 0.93 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.58 & 0.32 ( 0 ) & 4.24 ( 0.3 ) & 0.01 ( 0.01 ) & 0.32 & 4.24 & 0.01 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.97 & 1.16 ( 0.03 ) & 0.16 ( 0.06 ) & 0 ( 0 ) & 1.16 & 0.16 & 0.00 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.95 & 0.93 ( 0.03 ) & 0.29 ( 0.09 ) & 0 ( 0 ) & 0.93 & 0.29 & 0.00 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.95 & 0.71 ( 0.02 ) & 0.33 ( 0.13 ) & 0 ( 0 ) & 0.71 & 0.33 & 0.00 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.91 & 0.5 ( 0.01 ) & 0.57 ( 0.16 ) & 0 ( 0 ) & 0.50 & 0.57 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.57 & 0.33 ( 0 ) & 4.48 ( 0.3 ) & 0.01 ( 0.01 ) & 0.33 & 4.48 & 0.01 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.56 | 0.88 ( 0.05 ) | 3.68 ( 0.29 ) | 0.06 ( 0.03 ) | 0.88 | 3.68 | 0.06 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.50 | 0.76 ( 0.05 ) | 4.6 ( 0.27 ) | 0.07 ( 0.03 ) | 0.76 | 4.60 | 0.07 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.44 | 0.72 ( 0.05 ) | 5.25 ( 0.31 ) | 0.24 ( 0.06 ) | 0.72 | 5.25 | 0.24 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.36 | 0.76 ( 0.05 ) | 5.83 ( 0.31 ) | 0.81 ( 0.1 ) | 0.76 | 5.83 | 0.81 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.32 | 0.54 ( 0.03 ) | 4.91 ( 0.32 ) | 1.96 ( 0.11 ) | 0.54 | 4.91 | 1.96 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.53 | 1.12 ( 0.1 ) | 4.24 ( 0.3 ) | 0.23 ( 0.06 ) | 1.12 | 4.24 | 0.23 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.43 | 1.12 ( 0.07 ) | 5.19 ( 0.3 ) | 0.63 ( 0.09 ) | 1.12 | 5.19 | 0.63 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.37 | 1.15 ( 0.07 ) | 5.35 ( 0.36 ) | 1.25 ( 0.11 ) | 1.15 | 5.35 | 1.25 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.31 | 0.99 ( 0.06 ) | 5.89 ( 0.36 ) | 1.88 ( 0.11 ) | 0.99 | 5.89 | 1.88 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.31 | 0.66 ( 0.04 ) | 4.9 ( 0.33 ) | 2.83 ( 0.09 ) | 0.66 | 4.90 | 2.83 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.36 | 2.54 ( 0.18 ) | 5.13 ( 0.35 ) | 1.78 ( 0.12 ) | 2.54 | 5.13 | 1.78 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.29 | 2.5 ( 0.14 ) | 5.62 ( 0.34 ) | 2.39 ( 0.12 ) | 2.50 | 5.62 | 2.39 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.29 | 2.28 ( 0.14 ) | 5.5 ( 0.38 ) | 2.81 ( 0.1 ) | 2.28 | 5.50 | 2.81 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.27 | 1.81 ( 0.09 ) | 5.27 ( 0.39 ) | 3.43 ( 0.09 ) | 1.81 | 5.27 | 3.43 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.23 | 0.89 ( 0.05 ) | 5.88 ( 0.44 ) | 3.74 ( 0.07 ) | 0.89 | 5.88 | 3.74 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.29 | 3.37 ( 0.2 ) | 4.59 ( 0.36 ) | 2.63 ( 0.15 ) | 3.37 | 4.59 | 2.63 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.28 | 2.99 ( 0.17 ) | 4.75 ( 0.36 ) | 3 ( 0.13 ) | 2.99 | 4.75 | 0.00 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.23 | 2.44 ( 0.13 ) | 5.82 ( 0.36 ) | 3.37 ( 0.1 ) | 2.44 | 5.82 | 3.37 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.21 | 1.81 ( 0.08 ) | 6.05 ( 0.39 ) | 3.58 ( 0.1 ) | 1.81 | 6.05 | 3.58 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.19 | 1.04 ( 0.06 ) | 5.24 ( 0.46 ) | 4.23 ( 0.08 ) | 1.04 | 5.24 | 4.23 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.77 | 0.87 ( 0.05 ) | 1.51 ( 0.35 ) | 0 ( 0 ) | 0.87 | 1.51 | 0.00 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.75 | 0.7 ( 0.04 ) | 1.65 ( 0.28 ) | 0 ( 0 ) | 0.70 | 1.65 | 0.00 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.62 | 0.55 ( 0.02 ) | 2.98 ( 0.3 ) | 0 ( 0 ) | 0.55 | 2.98 | 0.00 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.48 | 0.43 ( 0.02 ) | 4.89 ( 0.38 ) | 0.08 ( 0.03 ) | 0.43 | 4.89 | 0.08 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.35 | 0.41 ( 0.02 ) | 5.64 ( 0.41 ) | 0.96 ( 0.11 ) | 0.41 | 5.64 | 0.96 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.79 | 0.85 ( 0.04 ) | 1.51 ( 0.34 ) | 0 ( 0 ) | 0.85 | 1.51 | 0.00 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.70 | 0.73 ( 0.04 ) | 2.38 ( 0.32 ) | 0 ( 0 ) | 0.73 | 2.38 | 0.00 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.59 | 0.68 ( 0.03 ) | 3.57 ( 0.36 ) | 0.06 ( 0.02 ) | 0.68 | 3.57 | 0.06 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.41 | 0.48 ( 0.02 ) | 6.91 ( 0.55 ) | 0.22 ( 0.05 ) | 0.48 | 6.91 | 0.22 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.32 | 0.47 ( 0.02 ) | 6.56 ( 0.48 ) | 1.45 ( 0.11 ) | 0.47 | 6.56 | 1.45 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.96 | 1.1 ( 0.04 ) | 0.25 ( 0.08 ) | 0 ( 0 ) | 1.10 | 0.25 | 0.00 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.96 | 0.93 ( 0.03 ) | 0.25 ( 0.08 ) | 0 ( 0 ) | 0.93 | 0.25 | 0.00 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.93 | 0.67 ( 0.02 ) | 0.45 ( 0.12 ) | 0 ( 0 ) | 0.67 | 0.45 | 0.00 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.74 | 0.46 ( 0.01 ) | 2.11 ( 0.26 ) | 0 ( 0 ) | 0.46 | 2.11 | 0.00 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.41 | 0.34 ( 0.01 ) | 8.17 ( 0.48 ) | 0.17 ( 0.04 ) | 0.34 | 8.17 | 0.17 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.96 | 1.1 ( 0.03 ) | 0.24 ( 0.1 ) | 0 ( 0 ) | 1.10 | 0.24 | 0.00 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.96 | 0.89 ( 0.03 ) | 0.28 ( 0.09 ) | 0 ( 0 ) | 0.89 | 0.28 | 0.00 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.96 | 0.7 ( 0.02 ) | 0.22 ( 0.06 ) | 0 ( 0 ) | 0.70 | 0.22 | 0.00 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.69 | 0.47 ( 0.01 ) | 2.72 ( 0.33 ) | 0 ( 0 ) | 0.47 | 2.72 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.34 | 0.35 ( 0.01 ) | 10.52 ( 0.68 ) | 0.32 ( 0.05 ) | 0.35 | 10.50 | 0.32 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.90 | 1.09 ( 0.04 ) | 0.55 ( 0.17 ) | 0 ( 0 ) | 1.09 | 0.55 | 0.00 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.93 | 0.92 ( 0.03 ) | 0.38 ( 0.1 ) | 0 ( 0 ) | 0.92 | 0.38 | 0.00 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.93 | 0.67 ( 0.02 ) | 0.39 ( 0.12 ) | 0 ( 0 ) | 0.67 | 0.39 | 0.00 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.88 | 0.45 ( 0.01 ) | 0.74 ( 0.13 ) | 0 ( 0 ) | 0.45 | 0.74 | 0.00 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.71 | 0.3 ( 0 ) | 2.18 ( 0.19 ) | 0 ( 0 ) | 0.30 | 2.18 | 0.00 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.93 | 1.03 ( 0.04 ) | 0.42 ( 0.12 ) | 0 ( 0 ) | 1.03 | 0.42 | 0.00 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.93 | 0.87 ( 0.04 ) | 0.41 ( 0.08 ) | 0 ( 0 ) | 0.87 | 0.41 | 0.00 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.95 | 0.71 ( 0.02 ) | 0.27 ( 0.09 ) | 0 ( 0 ) | 0.71 | 0.27 | 0.00 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.92 | 0.48 ( 0.01 ) | 0.5 ( 0.14 ) | 0 ( 0 ) | 0.48 | 0.50 | 0.00 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.67 | 0.3 ( 0 ) | 2.85 ( 0.24 ) | 0 ( 0 ) | 0.30 | 2.85 | 0.00 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.96 | 1.18 ( 0.04 ) | 0.24 ( 0.08 ) | 0 ( 0 ) | 1.18 | 0.24 | 0.00 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.94 | 0.9 ( 0.03 ) | 0.38 ( 0.1 ) | 0 ( 0 ) | 0.90 | 0.38 | 0.00 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.94 | 0.69 ( 0.02 ) | 0.35 ( 0.1 ) | 0 ( 0 ) | 0.69 | 0.35 | 0.00 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.87 | 0.46 ( 0.01 ) | 0.93 ( 0.16 ) | 0 ( 0 ) | 0.46 | 0.93 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.58 | 0.32 ( 0 ) | 4.24 ( 0.3 ) | 0.01 ( 0.01 ) | 0.32 | 4.24 | 0.01 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.97 | 1.16 ( 0.03 ) | 0.16 ( 0.06 ) | 0 ( 0 ) | 1.16 | 0.16 | 0.00 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.95 | 0.93 ( 0.03 ) | 0.29 ( 0.09 ) | 0 ( 0 ) | 0.93 | 0.29 | 0.00 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.95 | 0.71 ( 0.02 ) | 0.33 ( 0.13 ) | 0 ( 0 ) | 0.71 | 0.33 | 0.00 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.91 | 0.5 ( 0.01 ) | 0.57 ( 0.16 ) | 0 ( 0 ) | 0.50 | 0.57 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.57 | 0.33 ( 0 ) | 4.48 ( 0.3 ) | 0.01 ( 0.01 ) | 0.33 | 4.48 | 0.01 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.56 0.88 ( 0.05 ) 3.68 ( 0.29 ) 0.06 ( 0.03 )\n", + "17 50 50 0.3 1.0 0.50 0.76 ( 0.05 ) 4.6 ( 0.27 ) 0.07 ( 0.03 )\n", + "33 50 50 0.5 1.0 0.44 0.72 ( 0.05 ) 5.25 ( 0.31 ) 0.24 ( 0.06 )\n", + "49 50 50 0.7 1.0 0.36 0.76 ( 0.05 ) 5.83 ( 0.31 ) 0.81 ( 0.1 ) \n", + "65 50 50 0.9 1.0 0.32 0.54 ( 0.03 ) 4.91 ( 0.32 ) 1.96 ( 0.11 )\n", + "5 50 100 0.1 2.0 0.53 1.12 ( 0.1 ) 4.24 ( 0.3 ) 0.23 ( 0.06 )\n", + "21 50 100 0.3 2.0 0.43 1.12 ( 0.07 ) 5.19 ( 0.3 ) 0.63 ( 0.09 )\n", + "37 50 100 0.5 2.0 0.37 1.15 ( 0.07 ) 5.35 ( 0.36 ) 1.25 ( 0.11 )\n", + "53 50 100 0.7 2.0 0.31 0.99 ( 0.06 ) 5.89 ( 0.36 ) 1.88 ( 0.11 )\n", + "69 50 100 0.9 2.0 0.31 0.66 ( 0.04 ) 4.9 ( 0.33 ) 2.83 ( 0.09 )\n", + "9 50 500 0.1 10.0 0.36 2.54 ( 0.18 ) 5.13 ( 0.35 ) 1.78 ( 0.12 )\n", + "25 50 500 0.3 10.0 0.29 2.5 ( 0.14 ) 5.62 ( 0.34 ) 2.39 ( 0.12 )\n", + "41 50 500 0.5 10.0 0.29 2.28 ( 0.14 ) 5.5 ( 0.38 ) 2.81 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)\n", + "16 1000 1000 0.1 1.00 0.97 1.16 ( 0.03 ) 0.16 ( 0.06 ) 0 ( 0 ) \n", + "32 1000 1000 0.3 1.00 0.95 0.93 ( 0.03 ) 0.29 ( 0.09 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.95 0.71 ( 0.02 ) 0.33 ( 0.13 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.91 0.5 ( 0.01 ) 0.57 ( 0.16 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.57 0.33 ( 0 ) 4.48 ( 0.3 ) 0.01 ( 0.01 )\n", + " MSE_mean FP_mean FN_mean\n", + "1 0.88 3.68 0.06 \n", + "17 0.76 4.60 0.07 \n", + "33 0.72 5.25 0.24 \n", + "49 0.76 5.83 0.81 \n", + "65 0.54 4.91 1.96 \n", + "5 1.12 4.24 0.23 \n", + "21 1.12 5.19 0.63 \n", + "37 1.15 5.35 1.25 \n", + "53 0.99 5.89 1.88 \n", + "69 0.66 4.90 2.83 \n", + "9 2.54 5.13 1.78 \n", + "25 2.50 5.62 2.39 \n", + "41 2.28 5.50 2.81 \n", + "57 1.81 5.27 3.43 \n", + "73 0.89 5.88 3.74 \n", + "13 3.37 4.59 2.63 \n", + "29 2.99 4.75 0.00 \n", + "45 2.44 5.82 3.37 \n", + "61 1.81 6.05 3.58 \n", + "77 1.04 5.24 4.23 \n", + "2 0.87 1.51 0.00 \n", + "18 0.70 1.65 0.00 \n", + "34 0.55 2.98 0.00 \n", + "50 0.43 4.89 0.08 \n", + "66 0.41 5.64 0.96 \n", + "6 0.85 1.51 0.00 \n", + "22 0.73 2.38 0.00 \n", + "38 0.68 3.57 0.06 \n", + "54 0.48 6.91 0.22 \n", + "70 0.47 6.56 1.45 \n", + "... ... ... ... \n", + "11 1.10 0.25 0.00 \n", + "27 0.93 0.25 0.00 \n", + "43 0.67 0.45 0.00 \n", + "59 0.46 2.11 0.00 \n", + "75 0.34 8.17 0.17 \n", + "15 1.10 0.24 0.00 \n", + "31 0.89 0.28 0.00 \n", + "47 0.70 0.22 0.00 \n", + "63 0.47 2.72 0.00 \n", + "79 0.35 10.50 0.32 \n", + "4 1.09 0.55 0.00 \n", + "20 0.92 0.38 0.00 \n", + "36 0.67 0.39 0.00 \n", + "52 0.45 0.74 0.00 \n", + "68 0.30 2.18 0.00 \n", + "8 1.03 0.42 0.00 \n", + "24 0.87 0.41 0.00 \n", + "40 0.71 0.27 0.00 \n", + "56 0.48 0.50 0.00 \n", + "72 0.30 2.85 0.00 \n", + "12 1.18 0.24 0.00 \n", + "28 0.90 0.38 0.00 \n", + "44 0.69 0.35 0.00 \n", + "60 0.46 0.93 0.00 \n", + "76 0.32 4.24 0.01 \n", + "16 1.16 0.16 0.00 \n", + "32 0.93 0.29 0.00 \n", + "48 0.71 0.33 0.00 \n", + "64 0.50 0.57 0.00 \n", + "80 0.33 4.48 0.01 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[with(result.table_toe, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_toe_elnet.ipynb b/simulations/notebooks_simulations/sim_toe_elnet.ipynb new file mode 100644 index 0000000..06f7061 --- /dev/null +++ b/simulations/notebooks_simulations/sim_toe_elnet.ipynb @@ -0,0 +1,888 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/toe_Elnet.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_toe_elnet[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_toe = NULL\n", + "tmp_num_select = rep(0, length(results_toe_elnet))\n", + "for (i in 1:length(results_toe_elnet)){\n", + " table_toe = rbind(table_toe, results_toe_elnet[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_toe_elnet[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_toe = as.data.frame(table_toe)\n", + "table_toe$num_select = tmp_num_select\n", + "table_toe$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 14.72 ( 0.57 )0.01 ( 0.01 ) 0.6 ( 0.03 ) 0.21 19.71 0.67
    100 50 0.1 13.7 ( 0.66 )0 ( 0 ) 0.34 ( 0.01 )0.23 18.70 0.64
    500 50 0.1 13.59 ( 0.55 )0 ( 0 ) 0.26 ( 0 ) 0.23 18.59 0.65
    1000 50 0.1 12.64 ( 0.54 )0 ( 0 ) 0.26 ( 0 ) 0.25 17.64 0.63
    50 100 0.1 19.33 ( 0.67 )0 ( 0 ) 0.69 ( 0.05 ) 0.2 24.33 0.73
    100 100 0.1 17.77 ( 0.8 )0 ( 0 ) 0.38 ( 0.01 )0.22 22.77 0.70
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 14.72 ( 0.57 ) & 0.01 ( 0.01 ) & 0.6 ( 0.03 ) & 0.21 & 19.71 & 0.67 \\\\\n", + "\t 100 & 50 & 0.1 & 13.7 ( 0.66 ) & 0 ( 0 ) & 0.34 ( 0.01 ) & 0.23 & 18.70 & 0.64 \\\\\n", + "\t 500 & 50 & 0.1 & 13.59 ( 0.55 ) & 0 ( 0 ) & 0.26 ( 0 ) & 0.23 & 18.59 & 0.65 \\\\\n", + "\t 1000 & 50 & 0.1 & 12.64 ( 0.54 ) & 0 ( 0 ) & 0.26 ( 0 ) & 0.25 & 17.64 & 0.63 \\\\\n", + "\t 50 & 100 & 0.1 & 19.33 ( 0.67 ) & 0 ( 0 ) & 0.69 ( 0.05 ) & 0.2 & 24.33 & 0.73 \\\\\n", + "\t 100 & 100 & 0.1 & 17.77 ( 0.8 ) & 0 ( 0 ) & 0.38 ( 0.01 ) & 0.22 & 22.77 & 0.70 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 14.72 ( 0.57 ) | 0.01 ( 0.01 ) | 0.6 ( 0.03 ) | 0.21 | 19.71 | 0.67 |\n", + "| 100 | 50 | 0.1 | 13.7 ( 0.66 ) | 0 ( 0 ) | 0.34 ( 0.01 ) | 0.23 | 18.70 | 0.64 |\n", + "| 500 | 50 | 0.1 | 13.59 ( 0.55 ) | 0 ( 0 ) | 0.26 ( 0 ) | 0.23 | 18.59 | 0.65 |\n", + "| 1000 | 50 | 0.1 | 12.64 ( 0.54 ) | 0 ( 0 ) | 0.26 ( 0 ) | 0.25 | 17.64 | 0.63 |\n", + "| 50 | 100 | 0.1 | 19.33 ( 0.67 ) | 0 ( 0 ) | 0.69 ( 0.05 ) | 0.2 | 24.33 | 0.73 |\n", + "| 100 | 100 | 0.1 | 17.77 ( 0.8 ) | 0 ( 0 ) | 0.38 ( 0.01 ) | 0.22 | 22.77 | 0.70 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 14.72 ( 0.57 ) 0.01 ( 0.01 ) 0.6 ( 0.03 ) 0.21 19.71 0.67\n", + "2 100 50 0.1 13.7 ( 0.66 ) 0 ( 0 ) 0.34 ( 0.01 ) 0.23 18.70 0.64\n", + "3 500 50 0.1 13.59 ( 0.55 ) 0 ( 0 ) 0.26 ( 0 ) 0.23 18.59 0.65\n", + "4 1000 50 0.1 12.64 ( 0.54 ) 0 ( 0 ) 0.26 ( 0 ) 0.25 17.64 0.63\n", + "5 50 100 0.1 19.33 ( 0.67 ) 0 ( 0 ) 0.69 ( 0.05 ) 0.2 24.33 0.73\n", + "6 100 100 0.1 17.77 ( 0.8 ) 0 ( 0 ) 0.38 ( 0.01 ) 0.22 22.77 0.70" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_toe <- apply(table_toe,2,as.character)\n", + "rownames(result.table_toe) = rownames(table_toe)\n", + "result.table_toe = as.data.frame(result.table_toe)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_toe$n = tidyr::extract_numeric(result.table_toe$n)\n", + "result.table_toe$p = tidyr::extract_numeric(result.table_toe$p)\n", + "result.table_toe$ratio = result.table_toe$p / result.table_toe$n\n", + "\n", + "result.table_toe = result.table_toe[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_toe)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_toe$Stab = as.numeric(as.character(result.table_toe$Stab))\n", + "result.table_toe$MSE_mean = as.numeric(substr(result.table_toe$MSE, start=1, stop=4))\n", + "result.table_toe$FP_mean = as.numeric(substr(result.table_toe$FP, start=1, stop=4))\n", + "result.table_toe$FN_mean = as.numeric(substr(result.table_toe$FN, start=1, stop=4))\n", + "result.table_toe$FN_mean[is.na(result.table_toe$FN_mean)] = 0\n", + "result.table_toe$num_select = as.numeric(as.character(result.table_toe$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    241000 100 0.3 0.1 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) 24.00 0.71 0.26 NA 0.00
    66 100 50 0.9 0.5 0.21 0.35 ( 0.01 )14 ( 0.69 ) 0.27 ( 0.06 )18.73 0.66 0.35 NA 0.27
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t24 & 1000 & 100 & 0.3 & 0.1 & 0.20 & 0.26 ( 0 ) & 19 ( 0.86 ) & 0 ( 0 ) & 24.00 & 0.71 & 0.26 & NA & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.21 & 0.35 ( 0.01 ) & 14 ( 0.69 ) & 0.27 ( 0.06 ) & 18.73 & 0.66 & 0.35 & NA & 0.27 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 24 | 1000 | 100 | 0.3 | 0.1 | 0.20 | 0.26 ( 0 ) | 19 ( 0.86 ) | 0 ( 0 ) | 24.00 | 0.71 | 0.26 | NA | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.21 | 0.35 ( 0.01 ) | 14 ( 0.69 ) | 0.27 ( 0.06 ) | 18.73 | 0.66 | 0.35 | NA | 0.27 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "24 1000 100 0.3 0.1 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) 24.00 \n", + "66 100 50 0.9 0.5 0.21 0.35 ( 0.01 ) 14 ( 0.69 ) 0.27 ( 0.06 ) 18.73 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "24 0.71 0.26 NA 0.00 \n", + "66 0.66 0.35 NA 0.27 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_toe[rowSums(is.na(result.table_toe)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_toe$FP_mean[24] = 19\n", + "result.table_toe$FP_mean[66] = 14" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    241000 100 0.3 0.1 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) 24.00 0.71 0.26 19 0.00
    66 100 50 0.9 0.5 0.21 0.35 ( 0.01 )14 ( 0.69 ) 0.27 ( 0.06 )18.73 0.66 0.35 14 0.27
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t24 & 1000 & 100 & 0.3 & 0.1 & 0.20 & 0.26 ( 0 ) & 19 ( 0.86 ) & 0 ( 0 ) & 24.00 & 0.71 & 0.26 & 19 & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.21 & 0.35 ( 0.01 ) & 14 ( 0.69 ) & 0.27 ( 0.06 ) & 18.73 & 0.66 & 0.35 & 14 & 0.27 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 24 | 1000 | 100 | 0.3 | 0.1 | 0.20 | 0.26 ( 0 ) | 19 ( 0.86 ) | 0 ( 0 ) | 24.00 | 0.71 | 0.26 | 19 | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.21 | 0.35 ( 0.01 ) | 14 ( 0.69 ) | 0.27 ( 0.06 ) | 18.73 | 0.66 | 0.35 | 14 | 0.27 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "24 1000 100 0.3 0.1 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) 24.00 \n", + "66 100 50 0.9 0.5 0.21 0.35 ( 0.01 ) 14 ( 0.69 ) 0.27 ( 0.06 ) 18.73 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "24 0.71 0.26 19 0.00 \n", + "66 0.66 0.35 14 0.27 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[c(24, 66), ]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.21 0.6 ( 0.03 ) 14.72 ( 0.57 )0.01 ( 0.01 ) 19.71 0.67 0.60 14.7 0.01
    100 50 0.1 0.50 0.23 0.34 ( 0.01 ) 13.7 ( 0.66 ) 0 ( 0 ) 18.70 0.64 0.34 13.7 0.00
    500 50 0.1 0.10 0.23 0.26 ( 0 ) 13.59 ( 0.55 )0 ( 0 ) 18.59 0.65 0.26 13.5 0.00
    1000 50 0.1 0.05 0.25 0.26 ( 0 ) 12.64 ( 0.54 )0 ( 0 ) 17.64 0.63 0.26 12.6 0.00
    50 100 0.1 2.00 0.20 0.69 ( 0.05 ) 19.33 ( 0.67 )0 ( 0 ) 24.33 0.73 0.69 19.3 0.00
    100 100 0.1 1.00 0.22 0.38 ( 0.01 ) 17.77 ( 0.8 ) 0 ( 0 ) 22.77 0.7 0.38 17.7 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.21 & 0.6 ( 0.03 ) & 14.72 ( 0.57 ) & 0.01 ( 0.01 ) & 19.71 & 0.67 & 0.60 & 14.7 & 0.01 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.23 & 0.34 ( 0.01 ) & 13.7 ( 0.66 ) & 0 ( 0 ) & 18.70 & 0.64 & 0.34 & 13.7 & 0.00 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.23 & 0.26 ( 0 ) & 13.59 ( 0.55 ) & 0 ( 0 ) & 18.59 & 0.65 & 0.26 & 13.5 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.25 & 0.26 ( 0 ) & 12.64 ( 0.54 ) & 0 ( 0 ) & 17.64 & 0.63 & 0.26 & 12.6 & 0.00 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.20 & 0.69 ( 0.05 ) & 19.33 ( 0.67 ) & 0 ( 0 ) & 24.33 & 0.73 & 0.69 & 19.3 & 0.00 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.22 & 0.38 ( 0.01 ) & 17.77 ( 0.8 ) & 0 ( 0 ) & 22.77 & 0.7 & 0.38 & 17.7 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.21 | 0.6 ( 0.03 ) | 14.72 ( 0.57 ) | 0.01 ( 0.01 ) | 19.71 | 0.67 | 0.60 | 14.7 | 0.01 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.23 | 0.34 ( 0.01 ) | 13.7 ( 0.66 ) | 0 ( 0 ) | 18.70 | 0.64 | 0.34 | 13.7 | 0.00 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.23 | 0.26 ( 0 ) | 13.59 ( 0.55 ) | 0 ( 0 ) | 18.59 | 0.65 | 0.26 | 13.5 | 0.00 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.25 | 0.26 ( 0 ) | 12.64 ( 0.54 ) | 0 ( 0 ) | 17.64 | 0.63 | 0.26 | 12.6 | 0.00 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.20 | 0.69 ( 0.05 ) | 19.33 ( 0.67 ) | 0 ( 0 ) | 24.33 | 0.73 | 0.69 | 19.3 | 0.00 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.22 | 0.38 ( 0.01 ) | 17.77 ( 0.8 ) | 0 ( 0 ) | 22.77 | 0.7 | 0.38 | 17.7 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.00 0.21 0.6 ( 0.03 ) 14.72 ( 0.57 ) 0.01 ( 0.01 )\n", + "2 100 50 0.1 0.50 0.23 0.34 ( 0.01 ) 13.7 ( 0.66 ) 0 ( 0 ) \n", + "3 500 50 0.1 0.10 0.23 0.26 ( 0 ) 13.59 ( 0.55 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.25 0.26 ( 0 ) 12.64 ( 0.54 ) 0 ( 0 ) \n", + "5 50 100 0.1 2.00 0.20 0.69 ( 0.05 ) 19.33 ( 0.67 ) 0 ( 0 ) \n", + "6 100 100 0.1 1.00 0.22 0.38 ( 0.01 ) 17.77 ( 0.8 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "1 19.71 0.67 0.60 14.7 0.01 \n", + "2 18.70 0.64 0.34 13.7 0.00 \n", + "3 18.59 0.65 0.26 13.5 0.00 \n", + "4 17.64 0.63 0.26 12.6 0.00 \n", + "5 24.33 0.73 0.69 19.3 0.00 \n", + "6 22.77 0.7 0.38 17.7 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    75 500 500 0.9 1.0 0.12 0.29 ( 0 ) 41.14 ( 1.02 )0 ( 0 ) 46.14 0.86 0.29 41.1 0.00
    761000 500 0.9 0.5 0.13 0.27 ( 0 ) 39.21 ( 0.84 )0 ( 0 ) 44.21 0.86 0.27 39.2 0.00
    77 50 1000 0.9 20.0 0.04 0.94 ( 0.05 ) 36.59 ( 3.6 ) 3.72 ( 0.08 ) 37.87 0.92 0.94 36.5 3.72
    78 100 1000 0.9 10.0 0.09 0.59 ( 0.02 ) 32.05 ( 1.85 )2.59 ( 0.06 ) 34.46 0.88 0.59 32.0 2.59
    79 500 1000 0.9 2.0 0.09 0.3 ( 0 ) 57.69 ( 1.57 )0 ( 0 ) 62.69 0.9 0.30 57.6 0.00
    801000 1000 0.9 1.0 0.10 0.27 ( 0 ) 52.35 ( 1.6 ) 0 ( 0 ) 57.35 0.89 0.27 52.3 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.12 & 0.29 ( 0 ) & 41.14 ( 1.02 ) & 0 ( 0 ) & 46.14 & 0.86 & 0.29 & 41.1 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.13 & 0.27 ( 0 ) & 39.21 ( 0.84 ) & 0 ( 0 ) & 44.21 & 0.86 & 0.27 & 39.2 & 0.00 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.04 & 0.94 ( 0.05 ) & 36.59 ( 3.6 ) & 3.72 ( 0.08 ) & 37.87 & 0.92 & 0.94 & 36.5 & 3.72 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.09 & 0.59 ( 0.02 ) & 32.05 ( 1.85 ) & 2.59 ( 0.06 ) & 34.46 & 0.88 & 0.59 & 32.0 & 2.59 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.09 & 0.3 ( 0 ) & 57.69 ( 1.57 ) & 0 ( 0 ) & 62.69 & 0.9 & 0.30 & 57.6 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.10 & 0.27 ( 0 ) & 52.35 ( 1.6 ) & 0 ( 0 ) & 57.35 & 0.89 & 0.27 & 52.3 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.12 | 0.29 ( 0 ) | 41.14 ( 1.02 ) | 0 ( 0 ) | 46.14 | 0.86 | 0.29 | 41.1 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.13 | 0.27 ( 0 ) | 39.21 ( 0.84 ) | 0 ( 0 ) | 44.21 | 0.86 | 0.27 | 39.2 | 0.00 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.04 | 0.94 ( 0.05 ) | 36.59 ( 3.6 ) | 3.72 ( 0.08 ) | 37.87 | 0.92 | 0.94 | 36.5 | 3.72 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.09 | 0.59 ( 0.02 ) | 32.05 ( 1.85 ) | 2.59 ( 0.06 ) | 34.46 | 0.88 | 0.59 | 32.0 | 2.59 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.09 | 0.3 ( 0 ) | 57.69 ( 1.57 ) | 0 ( 0 ) | 62.69 | 0.9 | 0.30 | 57.6 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.10 | 0.27 ( 0 ) | 52.35 ( 1.6 ) | 0 ( 0 ) | 57.35 | 0.89 | 0.27 | 52.3 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.12 0.29 ( 0 ) 41.14 ( 1.02 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.5 0.13 0.27 ( 0 ) 39.21 ( 0.84 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.04 0.94 ( 0.05 ) 36.59 ( 3.6 ) 3.72 ( 0.08 )\n", + "78 100 1000 0.9 10.0 0.09 0.59 ( 0.02 ) 32.05 ( 1.85 ) 2.59 ( 0.06 )\n", + "79 500 1000 0.9 2.0 0.09 0.3 ( 0 ) 57.69 ( 1.57 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.0 0.10 0.27 ( 0 ) 52.35 ( 1.6 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 46.14 0.86 0.29 41.1 0.00 \n", + "76 44.21 0.86 0.27 39.2 0.00 \n", + "77 37.87 0.92 0.94 36.5 3.72 \n", + "78 34.46 0.88 0.59 32.0 2.59 \n", + "79 62.69 0.9 0.30 57.6 0.00 \n", + "80 57.35 0.89 0.27 52.3 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_toe, '../results_summary/sim_toe_elnet.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_toe_elnet.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_toe$N = as.factor(result.table_toe$N)\n", + "fig_toe_stab = ggplot(result.table_toe, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_toe_mse = ggplot(result.table_toe, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_toe_fp = ggplot(result.table_toe, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_toe_fn = ggplot(result.table_toe, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_toe_stab, fig_toe_mse, fig_toe_fp, fig_toe_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Toeplitz_ElaticNet\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_toe_elnet.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", 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    NPCorrRatioStabMSEFPFNMSE_meanFP_meanFN_mean
    150 50 0.1 1.0 0.21 0.6 ( 0.03 ) 14.72 ( 0.57 )0.01 ( 0.01 ) 0.60 14.7 0.01
    1750 50 0.3 1.0 0.21 0.53 ( 0.03 ) 14.65 ( 0.58 )0.03 ( 0.02 ) 0.53 14.6 0.03
    3350 50 0.5 1.0 0.20 0.57 ( 0.04 ) 14.64 ( 0.66 )0.09 ( 0.03 ) 0.57 14.6 0.09
    4950 50 0.7 1.0 0.18 0.6 ( 0.04 ) 15.25 ( 0.54 )0.25 ( 0.05 ) 0.60 15.2 0.25
    6550 50 0.9 1.0 0.16 0.5 ( 0.02 ) 13.26 ( 0.77 )1.03 ( 0.11 ) 0.50 13.2 1.03
    550 100 0.1 2.0 0.20 0.69 ( 0.05 ) 19.33 ( 0.67 )0 ( 0 ) 0.69 19.3 0.00
    2150 100 0.3 2.0 0.19 0.72 ( 0.04 ) 19.67 ( 0.66 )0.08 ( 0.03 ) 0.72 19.6 0.08
    3750 100 0.5 2.0 0.17 0.8 ( 0.04 ) 20.05 ( 0.68 )0.34 ( 0.06 ) 0.80 20.0 0.34
    5350 100 0.7 2.0 0.15 0.81 ( 0.04 ) 19.25 ( 0.81 )0.79 ( 0.09 ) 0.81 19.2 0.79
    6950 100 0.9 2.0 0.15 0.56 ( 0.03 ) 15.35 ( 0.8 ) 1.83 ( 0.12 ) 0.56 15.3 1.83
    950 500 0.1 10.0 0.13 1.74 ( 0.11 ) 29.67 ( 1.23 )0.63 ( 0.07 ) 1.74 29.6 0.63
    2550 500 0.3 10.0 0.10 1.94 ( 0.12 ) 32.52 ( 1.94 )1.33 ( 0.1 ) 1.94 32.5 1.33
    4150 500 0.5 10.0 0.09 1.86 ( 0.11 ) 29.92 ( 1.25 )1.88 ( 0.1 ) 1.86 29.9 1.88
    5750 500 0.7 10.0 0.09 1.48 ( 0.09 ) 27.19 ( 0.95 )2.71 ( 0.08 ) 1.48 27.1 2.71
    7350 500 0.9 10.0 0.08 0.88 ( 0.04 ) 25.11 ( 1.93 )3.23 ( 0.08 ) 0.88 25.1 3.23
    1350 1000 0.1 20.0 0.09 2.5 ( 0.16 ) 39.01 ( 2.7 ) 1.34 ( 0.1 ) 2.50 39.0 1.34
    2950 1000 0.3 20.0 0.08 2.46 ( 0.17 ) 35.99 ( 1.99 )1.83 ( 0.1 ) 2.46 35.9 1.83
    4550 1000 0.5 20.0 0.07 2.33 ( 0.14 ) 35.29 ( 1.69 )2.53 ( 0.1 ) 2.33 35.2 2.53
    6150 1000 0.7 20.0 0.06 1.66 ( 0.09 ) 35.91 ( 1.86 )3.03 ( 0.09 ) 1.66 35.9 3.03
    7750 1000 0.9 20.0 0.04 0.94 ( 0.05 ) 36.59 ( 3.6 ) 3.72 ( 0.08 ) 0.94 36.5 3.72
    2100 50 0.1 0.5 0.23 0.34 ( 0.01 ) 13.7 ( 0.66 ) 0 ( 0 ) 0.34 13.7 0.00
    18100 50 0.3 0.5 0.20 0.34 ( 0.01 ) 14.91 ( 0.58 )0 ( 0 ) 0.34 14.9 0.00
    34100 50 0.5 0.5 0.21 0.33 ( 0.01 ) 14.76 ( 0.55 )0 ( 0 ) 0.33 14.7 0.00
    50100 50 0.7 0.5 0.20 0.35 ( 0.01 ) 15.66 ( 0.62 )0 ( 0 ) 0.35 15.6 0.00
    66100 50 0.9 0.5 0.21 0.35 ( 0.01 ) 14 ( 0.69 ) 0.27 ( 0.06 ) 0.35 14.0 0.27
    6100 100 0.1 1.0 0.22 0.38 ( 0.01 ) 17.77 ( 0.8 ) 0 ( 0 ) 0.38 17.7 0.00
    22100 100 0.3 1.0 0.19 0.38 ( 0.01 ) 20.48 ( 0.85 )0 ( 0 ) 0.38 20.4 0.00
    38100 100 0.5 1.0 0.17 0.41 ( 0.02 ) 21.92 ( 0.83 )0 ( 0 ) 0.41 21.9 0.00
    54100 100 0.7 1.0 0.18 0.36 ( 0.01 ) 21.79 ( 0.78 )0.01 ( 0.01 ) 0.36 21.7 0.01
    70100 100 0.9 1.0 0.18 0.4 ( 0.02 ) 18.69 ( 0.92 )0.41 ( 0.07 ) 0.40 18.6 0.41
    ....................................
    11500 500 0.1 1.00 0.16 0.27 ( 0 ) 29.38 ( 1.53 )0 ( 0 ) 0.27 29.3 0
    27500 500 0.3 1.00 0.16 0.28 ( 0 ) 30.92 ( 1.44 )0 ( 0 ) 0.28 30.9 0
    43500 500 0.5 1.00 0.13 0.28 ( 0 ) 37.1 ( 1.54 ) 0 ( 0 ) 0.28 37.1 0
    59500 500 0.7 1.00 0.13 0.29 ( 0 ) 38.11 ( 1.41 )0 ( 0 ) 0.29 38.1 0
    75500 500 0.9 1.00 0.12 0.29 ( 0 ) 41.14 ( 1.02 )0 ( 0 ) 0.29 41.1 0
    15500 1000 0.1 2.00 0.14 0.27 ( 0 ) 37.88 ( 2.19 )0 ( 0 ) 0.27 37.8 0
    31500 1000 0.3 2.00 0.13 0.28 ( 0 ) 38.46 ( 2.16 )0 ( 0 ) 0.28 38.4 0
    47500 1000 0.5 2.00 0.12 0.29 ( 0 ) 42.86 ( 2.28 )0 ( 0 ) 0.29 42.8 0
    63500 1000 0.7 2.00 0.11 0.3 ( 0 ) 49.45 ( 1.98 )0 ( 0 ) 0.30 49.4 0
    79500 1000 0.9 2.00 0.09 0.3 ( 0 ) 57.69 ( 1.57 )0 ( 0 ) 0.30 57.6 0
    41000 50 0.1 0.05 0.25 0.26 ( 0 ) 12.64 ( 0.54 )0 ( 0 ) 0.26 12.6 0
    201000 50 0.3 0.05 0.27 0.26 ( 0 ) 11.94 ( 0.43 )0 ( 0 ) 0.26 11.9 0
    361000 50 0.5 0.05 0.23 0.26 ( 0 ) 13.4 ( 0.49 ) 0 ( 0 ) 0.26 13.4 0
    521000 50 0.7 0.05 0.26 0.26 ( 0 ) 12.18 ( 0.6 ) 0 ( 0 ) 0.26 12.1 0
    681000 50 0.9 0.05 0.29 0.26 ( 0 ) 12.06 ( 0.52 )0 ( 0 ) 0.26 12.0 0
    81000 100 0.1 0.10 0.22 0.26 ( 0 ) 17.23 ( 0.72 )0 ( 0 ) 0.26 17.2 0
    241000 100 0.3 0.10 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) 0.26 19.0 0
    401000 100 0.5 0.10 0.20 0.26 ( 0 ) 19.53 ( 0.66 )0 ( 0 ) 0.26 19.5 0
    561000 100 0.7 0.10 0.21 0.26 ( 0 ) 18.91 ( 0.6 ) 0 ( 0 ) 0.26 18.9 0
    721000 100 0.9 0.10 0.26 0.26 ( 0 ) 16.05 ( 0.62 )0 ( 0 ) 0.26 16.0 0
    121000 500 0.1 0.50 0.18 0.27 ( 0 ) 26.73 ( 1.56 )0 ( 0 ) 0.27 26.7 0
    281000 500 0.3 0.50 0.16 0.26 ( 0 ) 30.61 ( 1.55 )0 ( 0 ) 0.26 30.6 0
    441000 500 0.5 0.50 0.13 0.27 ( 0 ) 36.71 ( 1.5 ) 0 ( 0 ) 0.27 36.7 0
    601000 500 0.7 0.50 0.13 0.27 ( 0 ) 38.16 ( 1.26 )0 ( 0 ) 0.27 38.1 0
    761000 500 0.9 0.50 0.13 0.27 ( 0 ) 39.21 ( 0.84 )0 ( 0 ) 0.27 39.2 0
    161000 1000 0.1 1.00 0.16 0.26 ( 0 ) 31.4 ( 1.69 ) 0 ( 0 ) 0.26 31.4 0
    321000 1000 0.3 1.00 0.13 0.27 ( 0 ) 38.29 ( 2.09 )0 ( 0 ) 0.27 38.2 0
    481000 1000 0.5 1.00 0.13 0.27 ( 0 ) 41.01 ( 1.99 )0 ( 0 ) 0.27 41.0 0
    641000 1000 0.7 1.00 0.11 0.27 ( 0 ) 48.15 ( 1.76 )0 ( 0 ) 0.27 48.1 0
    801000 1000 0.9 1.00 0.10 0.27 ( 0 ) 52.35 ( 1.6 ) 0 ( 0 ) 0.27 52.3 0
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.21 & 0.6 ( 0.03 ) & 14.72 ( 0.57 ) & 0.01 ( 0.01 ) & 0.60 & 14.7 & 0.01 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.21 & 0.53 ( 0.03 ) & 14.65 ( 0.58 ) & 0.03 ( 0.02 ) & 0.53 & 14.6 & 0.03 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.20 & 0.57 ( 0.04 ) & 14.64 ( 0.66 ) & 0.09 ( 0.03 ) & 0.57 & 14.6 & 0.09 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.18 & 0.6 ( 0.04 ) & 15.25 ( 0.54 ) & 0.25 ( 0.05 ) & 0.60 & 15.2 & 0.25 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.16 & 0.5 ( 0.02 ) & 13.26 ( 0.77 ) & 1.03 ( 0.11 ) & 0.50 & 13.2 & 1.03 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.20 & 0.69 ( 0.05 ) & 19.33 ( 0.67 ) & 0 ( 0 ) & 0.69 & 19.3 & 0.00 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.19 & 0.72 ( 0.04 ) & 19.67 ( 0.66 ) & 0.08 ( 0.03 ) & 0.72 & 19.6 & 0.08 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.17 & 0.8 ( 0.04 ) & 20.05 ( 0.68 ) & 0.34 ( 0.06 ) & 0.80 & 20.0 & 0.34 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.15 & 0.81 ( 0.04 ) & 19.25 ( 0.81 ) & 0.79 ( 0.09 ) & 0.81 & 19.2 & 0.79 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.15 & 0.56 ( 0.03 ) & 15.35 ( 0.8 ) & 1.83 ( 0.12 ) & 0.56 & 15.3 & 1.83 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.13 & 1.74 ( 0.11 ) & 29.67 ( 1.23 ) & 0.63 ( 0.07 ) & 1.74 & 29.6 & 0.63 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.10 & 1.94 ( 0.12 ) & 32.52 ( 1.94 ) & 1.33 ( 0.1 ) & 1.94 & 32.5 & 1.33 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.09 & 1.86 ( 0.11 ) & 29.92 ( 1.25 ) & 1.88 ( 0.1 ) & 1.86 & 29.9 & 1.88 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.09 & 1.48 ( 0.09 ) & 27.19 ( 0.95 ) & 2.71 ( 0.08 ) & 1.48 & 27.1 & 2.71 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.08 & 0.88 ( 0.04 ) & 25.11 ( 1.93 ) & 3.23 ( 0.08 ) & 0.88 & 25.1 & 3.23 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.09 & 2.5 ( 0.16 ) & 39.01 ( 2.7 ) & 1.34 ( 0.1 ) & 2.50 & 39.0 & 1.34 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.08 & 2.46 ( 0.17 ) & 35.99 ( 1.99 ) & 1.83 ( 0.1 ) & 2.46 & 35.9 & 1.83 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.07 & 2.33 ( 0.14 ) & 35.29 ( 1.69 ) & 2.53 ( 0.1 ) & 2.33 & 35.2 & 2.53 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.06 & 1.66 ( 0.09 ) & 35.91 ( 1.86 ) & 3.03 ( 0.09 ) & 1.66 & 35.9 & 3.03 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.04 & 0.94 ( 0.05 ) & 36.59 ( 3.6 ) & 3.72 ( 0.08 ) & 0.94 & 36.5 & 3.72 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.23 & 0.34 ( 0.01 ) & 13.7 ( 0.66 ) & 0 ( 0 ) & 0.34 & 13.7 & 0.00 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.20 & 0.34 ( 0.01 ) & 14.91 ( 0.58 ) & 0 ( 0 ) & 0.34 & 14.9 & 0.00 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.21 & 0.33 ( 0.01 ) & 14.76 ( 0.55 ) & 0 ( 0 ) & 0.33 & 14.7 & 0.00 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.20 & 0.35 ( 0.01 ) & 15.66 ( 0.62 ) & 0 ( 0 ) & 0.35 & 15.6 & 0.00 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.21 & 0.35 ( 0.01 ) & 14 ( 0.69 ) & 0.27 ( 0.06 ) & 0.35 & 14.0 & 0.27 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.22 & 0.38 ( 0.01 ) & 17.77 ( 0.8 ) & 0 ( 0 ) & 0.38 & 17.7 & 0.00 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.19 & 0.38 ( 0.01 ) & 20.48 ( 0.85 ) & 0 ( 0 ) & 0.38 & 20.4 & 0.00 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.17 & 0.41 ( 0.02 ) & 21.92 ( 0.83 ) & 0 ( 0 ) & 0.41 & 21.9 & 0.00 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.18 & 0.36 ( 0.01 ) & 21.79 ( 0.78 ) & 0.01 ( 0.01 ) & 0.36 & 21.7 & 0.01 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.18 & 0.4 ( 0.02 ) & 18.69 ( 0.92 ) & 0.41 ( 0.07 ) & 0.40 & 18.6 & 0.41 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.16 & 0.27 ( 0 ) & 29.38 ( 1.53 ) & 0 ( 0 ) & 0.27 & 29.3 & 0 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.16 & 0.28 ( 0 ) & 30.92 ( 1.44 ) & 0 ( 0 ) & 0.28 & 30.9 & 0 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.13 & 0.28 ( 0 ) & 37.1 ( 1.54 ) & 0 ( 0 ) & 0.28 & 37.1 & 0 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.13 & 0.29 ( 0 ) & 38.11 ( 1.41 ) & 0 ( 0 ) & 0.29 & 38.1 & 0 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.12 & 0.29 ( 0 ) & 41.14 ( 1.02 ) & 0 ( 0 ) & 0.29 & 41.1 & 0 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.14 & 0.27 ( 0 ) & 37.88 ( 2.19 ) & 0 ( 0 ) & 0.27 & 37.8 & 0 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.13 & 0.28 ( 0 ) & 38.46 ( 2.16 ) & 0 ( 0 ) & 0.28 & 38.4 & 0 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.12 & 0.29 ( 0 ) & 42.86 ( 2.28 ) & 0 ( 0 ) & 0.29 & 42.8 & 0 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.11 & 0.3 ( 0 ) & 49.45 ( 1.98 ) & 0 ( 0 ) & 0.30 & 49.4 & 0 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.09 & 0.3 ( 0 ) & 57.69 ( 1.57 ) & 0 ( 0 ) & 0.30 & 57.6 & 0 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.25 & 0.26 ( 0 ) & 12.64 ( 0.54 ) & 0 ( 0 ) & 0.26 & 12.6 & 0 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.27 & 0.26 ( 0 ) & 11.94 ( 0.43 ) & 0 ( 0 ) & 0.26 & 11.9 & 0 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.23 & 0.26 ( 0 ) & 13.4 ( 0.49 ) & 0 ( 0 ) & 0.26 & 13.4 & 0 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.26 & 0.26 ( 0 ) & 12.18 ( 0.6 ) & 0 ( 0 ) & 0.26 & 12.1 & 0 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.29 & 0.26 ( 0 ) & 12.06 ( 0.52 ) & 0 ( 0 ) & 0.26 & 12.0 & 0 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.22 & 0.26 ( 0 ) & 17.23 ( 0.72 ) & 0 ( 0 ) & 0.26 & 17.2 & 0 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.20 & 0.26 ( 0 ) & 19 ( 0.86 ) & 0 ( 0 ) & 0.26 & 19.0 & 0 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.20 & 0.26 ( 0 ) & 19.53 ( 0.66 ) & 0 ( 0 ) & 0.26 & 19.5 & 0 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.21 & 0.26 ( 0 ) & 18.91 ( 0.6 ) & 0 ( 0 ) & 0.26 & 18.9 & 0 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.26 & 0.26 ( 0 ) & 16.05 ( 0.62 ) & 0 ( 0 ) & 0.26 & 16.0 & 0 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.18 & 0.27 ( 0 ) & 26.73 ( 1.56 ) & 0 ( 0 ) & 0.27 & 26.7 & 0 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.16 & 0.26 ( 0 ) & 30.61 ( 1.55 ) & 0 ( 0 ) & 0.26 & 30.6 & 0 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.13 & 0.27 ( 0 ) & 36.71 ( 1.5 ) & 0 ( 0 ) & 0.27 & 36.7 & 0 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.13 & 0.27 ( 0 ) & 38.16 ( 1.26 ) & 0 ( 0 ) & 0.27 & 38.1 & 0 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.13 & 0.27 ( 0 ) & 39.21 ( 0.84 ) & 0 ( 0 ) & 0.27 & 39.2 & 0 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.16 & 0.26 ( 0 ) & 31.4 ( 1.69 ) & 0 ( 0 ) & 0.26 & 31.4 & 0 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.13 & 0.27 ( 0 ) & 38.29 ( 2.09 ) & 0 ( 0 ) & 0.27 & 38.2 & 0 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.13 & 0.27 ( 0 ) & 41.01 ( 1.99 ) & 0 ( 0 ) & 0.27 & 41.0 & 0 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.11 & 0.27 ( 0 ) & 48.15 ( 1.76 ) & 0 ( 0 ) & 0.27 & 48.1 & 0 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.10 & 0.27 ( 0 ) & 52.35 ( 1.6 ) & 0 ( 0 ) & 0.27 & 52.3 & 0 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.21 | 0.6 ( 0.03 ) | 14.72 ( 0.57 ) | 0.01 ( 0.01 ) | 0.60 | 14.7 | 0.01 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.21 | 0.53 ( 0.03 ) | 14.65 ( 0.58 ) | 0.03 ( 0.02 ) | 0.53 | 14.6 | 0.03 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.20 | 0.57 ( 0.04 ) | 14.64 ( 0.66 ) | 0.09 ( 0.03 ) | 0.57 | 14.6 | 0.09 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.18 | 0.6 ( 0.04 ) | 15.25 ( 0.54 ) | 0.25 ( 0.05 ) | 0.60 | 15.2 | 0.25 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.16 | 0.5 ( 0.02 ) | 13.26 ( 0.77 ) | 1.03 ( 0.11 ) | 0.50 | 13.2 | 1.03 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.20 | 0.69 ( 0.05 ) | 19.33 ( 0.67 ) | 0 ( 0 ) | 0.69 | 19.3 | 0.00 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.19 | 0.72 ( 0.04 ) | 19.67 ( 0.66 ) | 0.08 ( 0.03 ) | 0.72 | 19.6 | 0.08 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.17 | 0.8 ( 0.04 ) | 20.05 ( 0.68 ) | 0.34 ( 0.06 ) | 0.80 | 20.0 | 0.34 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.15 | 0.81 ( 0.04 ) | 19.25 ( 0.81 ) | 0.79 ( 0.09 ) | 0.81 | 19.2 | 0.79 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.15 | 0.56 ( 0.03 ) | 15.35 ( 0.8 ) | 1.83 ( 0.12 ) | 0.56 | 15.3 | 1.83 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.13 | 1.74 ( 0.11 ) | 29.67 ( 1.23 ) | 0.63 ( 0.07 ) | 1.74 | 29.6 | 0.63 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.10 | 1.94 ( 0.12 ) | 32.52 ( 1.94 ) | 1.33 ( 0.1 ) | 1.94 | 32.5 | 1.33 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.09 | 1.86 ( 0.11 ) | 29.92 ( 1.25 ) | 1.88 ( 0.1 ) | 1.86 | 29.9 | 1.88 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.09 | 1.48 ( 0.09 ) | 27.19 ( 0.95 ) | 2.71 ( 0.08 ) | 1.48 | 27.1 | 2.71 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.08 | 0.88 ( 0.04 ) | 25.11 ( 1.93 ) | 3.23 ( 0.08 ) | 0.88 | 25.1 | 3.23 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.09 | 2.5 ( 0.16 ) | 39.01 ( 2.7 ) | 1.34 ( 0.1 ) | 2.50 | 39.0 | 1.34 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.08 | 2.46 ( 0.17 ) | 35.99 ( 1.99 ) | 1.83 ( 0.1 ) | 2.46 | 35.9 | 1.83 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.07 | 2.33 ( 0.14 ) | 35.29 ( 1.69 ) | 2.53 ( 0.1 ) | 2.33 | 35.2 | 2.53 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.06 | 1.66 ( 0.09 ) | 35.91 ( 1.86 ) | 3.03 ( 0.09 ) | 1.66 | 35.9 | 3.03 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.04 | 0.94 ( 0.05 ) | 36.59 ( 3.6 ) | 3.72 ( 0.08 ) | 0.94 | 36.5 | 3.72 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.23 | 0.34 ( 0.01 ) | 13.7 ( 0.66 ) | 0 ( 0 ) | 0.34 | 13.7 | 0.00 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.20 | 0.34 ( 0.01 ) | 14.91 ( 0.58 ) | 0 ( 0 ) | 0.34 | 14.9 | 0.00 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.21 | 0.33 ( 0.01 ) | 14.76 ( 0.55 ) | 0 ( 0 ) | 0.33 | 14.7 | 0.00 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.20 | 0.35 ( 0.01 ) | 15.66 ( 0.62 ) | 0 ( 0 ) | 0.35 | 15.6 | 0.00 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.21 | 0.35 ( 0.01 ) | 14 ( 0.69 ) | 0.27 ( 0.06 ) | 0.35 | 14.0 | 0.27 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.22 | 0.38 ( 0.01 ) | 17.77 ( 0.8 ) | 0 ( 0 ) | 0.38 | 17.7 | 0.00 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.19 | 0.38 ( 0.01 ) | 20.48 ( 0.85 ) | 0 ( 0 ) | 0.38 | 20.4 | 0.00 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.17 | 0.41 ( 0.02 ) | 21.92 ( 0.83 ) | 0 ( 0 ) | 0.41 | 21.9 | 0.00 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.18 | 0.36 ( 0.01 ) | 21.79 ( 0.78 ) | 0.01 ( 0.01 ) | 0.36 | 21.7 | 0.01 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.18 | 0.4 ( 0.02 ) | 18.69 ( 0.92 ) | 0.41 ( 0.07 ) | 0.40 | 18.6 | 0.41 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.16 | 0.27 ( 0 ) | 29.38 ( 1.53 ) | 0 ( 0 ) | 0.27 | 29.3 | 0 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.16 | 0.28 ( 0 ) | 30.92 ( 1.44 ) | 0 ( 0 ) | 0.28 | 30.9 | 0 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.13 | 0.28 ( 0 ) | 37.1 ( 1.54 ) | 0 ( 0 ) | 0.28 | 37.1 | 0 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.13 | 0.29 ( 0 ) | 38.11 ( 1.41 ) | 0 ( 0 ) | 0.29 | 38.1 | 0 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.12 | 0.29 ( 0 ) | 41.14 ( 1.02 ) | 0 ( 0 ) | 0.29 | 41.1 | 0 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.14 | 0.27 ( 0 ) | 37.88 ( 2.19 ) | 0 ( 0 ) | 0.27 | 37.8 | 0 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.13 | 0.28 ( 0 ) | 38.46 ( 2.16 ) | 0 ( 0 ) | 0.28 | 38.4 | 0 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.12 | 0.29 ( 0 ) | 42.86 ( 2.28 ) | 0 ( 0 ) | 0.29 | 42.8 | 0 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.11 | 0.3 ( 0 ) | 49.45 ( 1.98 ) | 0 ( 0 ) | 0.30 | 49.4 | 0 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.09 | 0.3 ( 0 ) | 57.69 ( 1.57 ) | 0 ( 0 ) | 0.30 | 57.6 | 0 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.25 | 0.26 ( 0 ) | 12.64 ( 0.54 ) | 0 ( 0 ) | 0.26 | 12.6 | 0 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.27 | 0.26 ( 0 ) | 11.94 ( 0.43 ) | 0 ( 0 ) | 0.26 | 11.9 | 0 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.23 | 0.26 ( 0 ) | 13.4 ( 0.49 ) | 0 ( 0 ) | 0.26 | 13.4 | 0 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.26 | 0.26 ( 0 ) | 12.18 ( 0.6 ) | 0 ( 0 ) | 0.26 | 12.1 | 0 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.29 | 0.26 ( 0 ) | 12.06 ( 0.52 ) | 0 ( 0 ) | 0.26 | 12.0 | 0 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.22 | 0.26 ( 0 ) | 17.23 ( 0.72 ) | 0 ( 0 ) | 0.26 | 17.2 | 0 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.20 | 0.26 ( 0 ) | 19 ( 0.86 ) | 0 ( 0 ) | 0.26 | 19.0 | 0 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.20 | 0.26 ( 0 ) | 19.53 ( 0.66 ) | 0 ( 0 ) | 0.26 | 19.5 | 0 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.21 | 0.26 ( 0 ) | 18.91 ( 0.6 ) | 0 ( 0 ) | 0.26 | 18.9 | 0 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.26 | 0.26 ( 0 ) | 16.05 ( 0.62 ) | 0 ( 0 ) | 0.26 | 16.0 | 0 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.18 | 0.27 ( 0 ) | 26.73 ( 1.56 ) | 0 ( 0 ) | 0.27 | 26.7 | 0 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.16 | 0.26 ( 0 ) | 30.61 ( 1.55 ) | 0 ( 0 ) | 0.26 | 30.6 | 0 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.13 | 0.27 ( 0 ) | 36.71 ( 1.5 ) | 0 ( 0 ) | 0.27 | 36.7 | 0 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.13 | 0.27 ( 0 ) | 38.16 ( 1.26 ) | 0 ( 0 ) | 0.27 | 38.1 | 0 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.13 | 0.27 ( 0 ) | 39.21 ( 0.84 ) | 0 ( 0 ) | 0.27 | 39.2 | 0 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.16 | 0.26 ( 0 ) | 31.4 ( 1.69 ) | 0 ( 0 ) | 0.26 | 31.4 | 0 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.13 | 0.27 ( 0 ) | 38.29 ( 2.09 ) | 0 ( 0 ) | 0.27 | 38.2 | 0 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.13 | 0.27 ( 0 ) | 41.01 ( 1.99 ) | 0 ( 0 ) | 0.27 | 41.0 | 0 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.11 | 0.27 ( 0 ) | 48.15 ( 1.76 ) | 0 ( 0 ) | 0.27 | 48.1 | 0 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.10 | 0.27 ( 0 ) | 52.35 ( 1.6 ) | 0 ( 0 ) | 0.27 | 52.3 | 0 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.21 0.6 ( 0.03 ) 14.72 ( 0.57 ) 0.01 ( 0.01 )\n", + "17 50 50 0.3 1.0 0.21 0.53 ( 0.03 ) 14.65 ( 0.58 ) 0.03 ( 0.02 )\n", + "33 50 50 0.5 1.0 0.20 0.57 ( 0.04 ) 14.64 ( 0.66 ) 0.09 ( 0.03 )\n", + "49 50 50 0.7 1.0 0.18 0.6 ( 0.04 ) 15.25 ( 0.54 ) 0.25 ( 0.05 )\n", + "65 50 50 0.9 1.0 0.16 0.5 ( 0.02 ) 13.26 ( 0.77 ) 1.03 ( 0.11 )\n", + "5 50 100 0.1 2.0 0.20 0.69 ( 0.05 ) 19.33 ( 0.67 ) 0 ( 0 ) \n", + "21 50 100 0.3 2.0 0.19 0.72 ( 0.04 ) 19.67 ( 0.66 ) 0.08 ( 0.03 )\n", + "37 50 100 0.5 2.0 0.17 0.8 ( 0.04 ) 20.05 ( 0.68 ) 0.34 ( 0.06 )\n", + "53 50 100 0.7 2.0 0.15 0.81 ( 0.04 ) 19.25 ( 0.81 ) 0.79 ( 0.09 )\n", + "69 50 100 0.9 2.0 0.15 0.56 ( 0.03 ) 15.35 ( 0.8 ) 1.83 ( 0.12 )\n", + "9 50 500 0.1 10.0 0.13 1.74 ( 0.11 ) 29.67 ( 1.23 ) 0.63 ( 0.07 )\n", + "25 50 500 0.3 10.0 0.10 1.94 ( 0.12 ) 32.52 ( 1.94 ) 1.33 ( 0.1 ) \n", + "41 50 500 0.5 10.0 0.09 1.86 ( 0.11 ) 29.92 ( 1.25 ) 1.88 ( 0.1 ) \n", + "57 50 500 0.7 10.0 0.09 1.48 ( 0.09 ) 27.19 ( 0.95 ) 2.71 ( 0.08 )\n", + "73 50 500 0.9 10.0 0.08 0.88 ( 0.04 ) 25.11 ( 1.93 ) 3.23 ( 0.08 )\n", + "13 50 1000 0.1 20.0 0.09 2.5 ( 0.16 ) 39.01 ( 2.7 ) 1.34 ( 0.1 ) \n", + "29 50 1000 0.3 20.0 0.08 2.46 ( 0.17 ) 35.99 ( 1.99 ) 1.83 ( 0.1 ) \n", + "45 50 1000 0.5 20.0 0.07 2.33 ( 0.14 ) 35.29 ( 1.69 ) 2.53 ( 0.1 ) \n", + "61 50 1000 0.7 20.0 0.06 1.66 ( 0.09 ) 35.91 ( 1.86 ) 3.03 ( 0.09 )\n", + "77 50 1000 0.9 20.0 0.04 0.94 ( 0.05 ) 36.59 ( 3.6 ) 3.72 ( 0.08 )\n", + "2 100 50 0.1 0.5 0.23 0.34 ( 0.01 ) 13.7 ( 0.66 ) 0 ( 0 ) \n", + "18 100 50 0.3 0.5 0.20 0.34 ( 0.01 ) 14.91 ( 0.58 ) 0 ( 0 ) \n", + "34 100 50 0.5 0.5 0.21 0.33 ( 0.01 ) 14.76 ( 0.55 ) 0 ( 0 ) \n", + "50 100 50 0.7 0.5 0.20 0.35 ( 0.01 ) 15.66 ( 0.62 ) 0 ( 0 ) \n", + "66 100 50 0.9 0.5 0.21 0.35 ( 0.01 ) 14 ( 0.69 ) 0.27 ( 0.06 )\n", + "6 100 100 0.1 1.0 0.22 0.38 ( 0.01 ) 17.77 ( 0.8 ) 0 ( 0 ) \n", + "22 100 100 0.3 1.0 0.19 0.38 ( 0.01 ) 20.48 ( 0.85 ) 0 ( 0 ) \n", + "38 100 100 0.5 1.0 0.17 0.41 ( 0.02 ) 21.92 ( 0.83 ) 0 ( 0 ) \n", + "54 100 100 0.7 1.0 0.18 0.36 ( 0.01 ) 21.79 ( 0.78 ) 0.01 ( 0.01 )\n", + "70 100 100 0.9 1.0 0.18 0.4 ( 0.02 ) 18.69 ( 0.92 ) 0.41 ( 0.07 )\n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.16 0.27 ( 0 ) 29.38 ( 1.53 ) 0 ( 0 ) \n", + "27 500 500 0.3 1.00 0.16 0.28 ( 0 ) 30.92 ( 1.44 ) 0 ( 0 ) \n", + "43 500 500 0.5 1.00 0.13 0.28 ( 0 ) 37.1 ( 1.54 ) 0 ( 0 ) \n", + "59 500 500 0.7 1.00 0.13 0.29 ( 0 ) 38.11 ( 1.41 ) 0 ( 0 ) \n", + "75 500 500 0.9 1.00 0.12 0.29 ( 0 ) 41.14 ( 1.02 ) 0 ( 0 ) \n", + "15 500 1000 0.1 2.00 0.14 0.27 ( 0 ) 37.88 ( 2.19 ) 0 ( 0 ) \n", + "31 500 1000 0.3 2.00 0.13 0.28 ( 0 ) 38.46 ( 2.16 ) 0 ( 0 ) \n", + "47 500 1000 0.5 2.00 0.12 0.29 ( 0 ) 42.86 ( 2.28 ) 0 ( 0 ) \n", + "63 500 1000 0.7 2.00 0.11 0.3 ( 0 ) 49.45 ( 1.98 ) 0 ( 0 ) \n", + "79 500 1000 0.9 2.00 0.09 0.3 ( 0 ) 57.69 ( 1.57 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.25 0.26 ( 0 ) 12.64 ( 0.54 ) 0 ( 0 ) \n", + "20 1000 50 0.3 0.05 0.27 0.26 ( 0 ) 11.94 ( 0.43 ) 0 ( 0 ) \n", + "36 1000 50 0.5 0.05 0.23 0.26 ( 0 ) 13.4 ( 0.49 ) 0 ( 0 ) \n", + "52 1000 50 0.7 0.05 0.26 0.26 ( 0 ) 12.18 ( 0.6 ) 0 ( 0 ) \n", + "68 1000 50 0.9 0.05 0.29 0.26 ( 0 ) 12.06 ( 0.52 ) 0 ( 0 ) \n", + "8 1000 100 0.1 0.10 0.22 0.26 ( 0 ) 17.23 ( 0.72 ) 0 ( 0 ) \n", + "24 1000 100 0.3 0.10 0.20 0.26 ( 0 ) 19 ( 0.86 ) 0 ( 0 ) \n", + "40 1000 100 0.5 0.10 0.20 0.26 ( 0 ) 19.53 ( 0.66 ) 0 ( 0 ) \n", + "56 1000 100 0.7 0.10 0.21 0.26 ( 0 ) 18.91 ( 0.6 ) 0 ( 0 ) \n", + "72 1000 100 0.9 0.10 0.26 0.26 ( 0 ) 16.05 ( 0.62 ) 0 ( 0 ) \n", + "12 1000 500 0.1 0.50 0.18 0.27 ( 0 ) 26.73 ( 1.56 ) 0 ( 0 ) \n", + "28 1000 500 0.3 0.50 0.16 0.26 ( 0 ) 30.61 ( 1.55 ) 0 ( 0 ) \n", + "44 1000 500 0.5 0.50 0.13 0.27 ( 0 ) 36.71 ( 1.5 ) 0 ( 0 ) \n", + "60 1000 500 0.7 0.50 0.13 0.27 ( 0 ) 38.16 ( 1.26 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.50 0.13 0.27 ( 0 ) 39.21 ( 0.84 ) 0 ( 0 ) \n", + "16 1000 1000 0.1 1.00 0.16 0.26 ( 0 ) 31.4 ( 1.69 ) 0 ( 0 ) \n", + "32 1000 1000 0.3 1.00 0.13 0.27 ( 0 ) 38.29 ( 2.09 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.13 0.27 ( 0 ) 41.01 ( 1.99 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.11 0.27 ( 0 ) 48.15 ( 1.76 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.10 0.27 ( 0 ) 52.35 ( 1.6 ) 0 ( 0 ) \n", + " MSE_mean FP_mean FN_mean\n", + "1 0.60 14.7 0.01 \n", + "17 0.53 14.6 0.03 \n", + "33 0.57 14.6 0.09 \n", + "49 0.60 15.2 0.25 \n", + "65 0.50 13.2 1.03 \n", + "5 0.69 19.3 0.00 \n", + "21 0.72 19.6 0.08 \n", + "37 0.80 20.0 0.34 \n", + "53 0.81 19.2 0.79 \n", + "69 0.56 15.3 1.83 \n", + "9 1.74 29.6 0.63 \n", + "25 1.94 32.5 1.33 \n", + "41 1.86 29.9 1.88 \n", + "57 1.48 27.1 2.71 \n", + "73 0.88 25.1 3.23 \n", + "13 2.50 39.0 1.34 \n", + "29 2.46 35.9 1.83 \n", + "45 2.33 35.2 2.53 \n", + "61 1.66 35.9 3.03 \n", + "77 0.94 36.5 3.72 \n", + "2 0.34 13.7 0.00 \n", + "18 0.34 14.9 0.00 \n", + "34 0.33 14.7 0.00 \n", + "50 0.35 15.6 0.00 \n", + "66 0.35 14.0 0.27 \n", + "6 0.38 17.7 0.00 \n", + "22 0.38 20.4 0.00 \n", + "38 0.41 21.9 0.00 \n", + "54 0.36 21.7 0.01 \n", + "70 0.40 18.6 0.41 \n", + "... ... ... ... \n", + "11 0.27 29.3 0 \n", + "27 0.28 30.9 0 \n", + "43 0.28 37.1 0 \n", + "59 0.29 38.1 0 \n", + "75 0.29 41.1 0 \n", + "15 0.27 37.8 0 \n", + "31 0.28 38.4 0 \n", + "47 0.29 42.8 0 \n", + "63 0.30 49.4 0 \n", + "79 0.30 57.6 0 \n", + "4 0.26 12.6 0 \n", + "20 0.26 11.9 0 \n", + "36 0.26 13.4 0 \n", + "52 0.26 12.1 0 \n", + "68 0.26 12.0 0 \n", + "8 0.26 17.2 0 \n", + "24 0.26 19.0 0 \n", + "40 0.26 19.5 0 \n", + "56 0.26 18.9 0 \n", + "72 0.26 16.0 0 \n", + "12 0.27 26.7 0 \n", + "28 0.26 30.6 0 \n", + "44 0.27 36.7 0 \n", + "60 0.27 38.1 0 \n", + "76 0.27 39.2 0 \n", + "16 0.26 31.4 0 \n", + "32 0.27 38.2 0 \n", + "48 0.27 41.0 0 \n", + "64 0.27 48.1 0 \n", + "80 0.27 52.3 0 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[with(result.table_toe, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_toe_lasso.ipynb b/simulations/notebooks_simulations/sim_toe_lasso.ipynb new file mode 100644 index 0000000..1fbc10b --- /dev/null +++ b/simulations/notebooks_simulations/sim_toe_lasso.ipynb @@ -0,0 +1,1219 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/toe_Lasso.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_toe_lasso[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_toe = NULL\n", + "tmp_num_select = rep(0, length(results_toe_lasso))\n", + "for (i in 1:length(results_toe_lasso)){\n", + " table_toe = rbind(table_toe, results_toe_lasso[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab')])\n", + " tmp_num_select[i] = mean(rowSums(results_toe_lasso[[i]]$Stab.table))\n", + " \n", + "}\n", + "table_toe = as.data.frame(table_toe)\n", + "table_toe$num_select = tmp_num_select\n", + "table_toe$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabnum_selectFDR
    50 50 0.1 8.59 ( 0.46 )0.02 ( 0.01 )0.62 ( 0.04 )0.36 13.57 0.51
    100 50 0.1 6.3 ( 0.43 ) 0 ( 0 ) 0.37 ( 0.01 )0.47 11.30 0.40
    500 50 0.1 2.88 ( 0.21 )0 ( 0 ) 0.28 ( 0 ) 0.73 7.88 0.20
    1000 50 0.1 1.66 ( 0.11 )0 ( 0 ) 0.27 ( 0 ) 0.89 6.66 0.08
    50 100 0.1 11.84 ( 0.4 )0 ( 0 ) 0.67 ( 0.05 )0.32 16.84 0.62
    100 100 0.1 7.71 ( 0.56 )0 ( 0 ) 0.4 ( 0.01 ) 0.44 12.71 0.46
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 0.62 ( 0.04 ) & 0.36 & 13.57 & 0.51 \\\\\n", + "\t 100 & 50 & 0.1 & 6.3 ( 0.43 ) & 0 ( 0 ) & 0.37 ( 0.01 ) & 0.47 & 11.30 & 0.40 \\\\\n", + "\t 500 & 50 & 0.1 & 2.88 ( 0.21 ) & 0 ( 0 ) & 0.28 ( 0 ) & 0.73 & 7.88 & 0.20 \\\\\n", + "\t 1000 & 50 & 0.1 & 1.66 ( 0.11 ) & 0 ( 0 ) & 0.27 ( 0 ) & 0.89 & 6.66 & 0.08 \\\\\n", + "\t 50 & 100 & 0.1 & 11.84 ( 0.4 ) & 0 ( 0 ) & 0.67 ( 0.05 ) & 0.32 & 16.84 & 0.62 \\\\\n", + "\t 100 & 100 & 0.1 & 7.71 ( 0.56 ) & 0 ( 0 ) & 0.4 ( 0.01 ) & 0.44 & 12.71 & 0.46 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 0.62 ( 0.04 ) | 0.36 | 13.57 | 0.51 |\n", + "| 100 | 50 | 0.1 | 6.3 ( 0.43 ) | 0 ( 0 ) | 0.37 ( 0.01 ) | 0.47 | 11.30 | 0.40 |\n", + "| 500 | 50 | 0.1 | 2.88 ( 0.21 ) | 0 ( 0 ) | 0.28 ( 0 ) | 0.73 | 7.88 | 0.20 |\n", + "| 1000 | 50 | 0.1 | 1.66 ( 0.11 ) | 0 ( 0 ) | 0.27 ( 0 ) | 0.89 | 6.66 | 0.08 |\n", + "| 50 | 100 | 0.1 | 11.84 ( 0.4 ) | 0 ( 0 ) | 0.67 ( 0.05 ) | 0.32 | 16.84 | 0.62 |\n", + "| 100 | 100 | 0.1 | 7.71 ( 0.56 ) | 0 ( 0 ) | 0.4 ( 0.01 ) | 0.44 | 12.71 | 0.46 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab num_select FDR \n", + "1 50 50 0.1 8.59 ( 0.46 ) 0.02 ( 0.01 ) 0.62 ( 0.04 ) 0.36 13.57 0.51\n", + "2 100 50 0.1 6.3 ( 0.43 ) 0 ( 0 ) 0.37 ( 0.01 ) 0.47 11.30 0.40\n", + "3 500 50 0.1 2.88 ( 0.21 ) 0 ( 0 ) 0.28 ( 0 ) 0.73 7.88 0.20\n", + "4 1000 50 0.1 1.66 ( 0.11 ) 0 ( 0 ) 0.27 ( 0 ) 0.89 6.66 0.08\n", + "5 50 100 0.1 11.84 ( 0.4 ) 0 ( 0 ) 0.67 ( 0.05 ) 0.32 16.84 0.62\n", + "6 100 100 0.1 7.71 ( 0.56 ) 0 ( 0 ) 0.4 ( 0.01 ) 0.44 12.71 0.46" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_toe <- apply(table_toe,2,as.character)\n", + "rownames(result.table_toe) = rownames(table_toe)\n", + "result.table_toe = as.data.frame(result.table_toe)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_toe$n = tidyr::extract_numeric(result.table_toe$n)\n", + "result.table_toe$p = tidyr::extract_numeric(result.table_toe$p)\n", + "result.table_toe$ratio = result.table_toe$p / result.table_toe$n\n", + "\n", + "result.table_toe = result.table_toe[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'num_select', 'FDR')]\n", + "colnames(result.table_toe)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_toe$Stab = as.numeric(as.character(result.table_toe$Stab))\n", + "result.table_toe$MSE_mean = as.numeric(substr(result.table_toe$MSE, start=1, stop=4))\n", + "result.table_toe$FP_mean = as.numeric(substr(result.table_toe$FP, start=1, stop=4))\n", + "result.table_toe$FN_mean = as.numeric(substr(result.table_toe$FN, start=1, stop=4))\n", + "result.table_toe$FN_mean[is.na(result.table_toe$FN_mean)] = 0\n", + "result.table_toe$num_select = as.numeric(as.character(result.table_toe$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    38100 100 0.5 1 0.36 0.44 ( 0.02 )10 ( 0.48 ) 0.02 ( 0.01 )14.98 0.56 0.44 NA 0.02
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t38 & 100 & 100 & 0.5 & 1 & 0.36 & 0.44 ( 0.02 ) & 10 ( 0.48 ) & 0.02 ( 0.01 ) & 14.98 & 0.56 & 0.44 & NA & 0.02 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 38 | 100 | 100 | 0.5 | 1 | 0.36 | 0.44 ( 0.02 ) | 10 ( 0.48 ) | 0.02 ( 0.01 ) | 14.98 | 0.56 | 0.44 | NA | 0.02 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "38 100 100 0.5 1 0.36 0.44 ( 0.02 ) 10 ( 0.48 ) 0.02 ( 0.01 ) 14.98 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "38 0.56 0.44 NA 0.02 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_toe[rowSums(is.na(result.table_toe)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_toe$FP_mean[is.na(result.table_toe$FP_mean)] = 10" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    38100 100 0.5 1 0.36 0.44 ( 0.02 )10 ( 0.48 ) 0.02 ( 0.01 )14.98 0.56 0.44 10 0.02
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t38 & 100 & 100 & 0.5 & 1 & 0.36 & 0.44 ( 0.02 ) & 10 ( 0.48 ) & 0.02 ( 0.01 ) & 14.98 & 0.56 & 0.44 & 10 & 0.02 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 38 | 100 | 100 | 0.5 | 1 | 0.36 | 0.44 ( 0.02 ) | 10 ( 0.48 ) | 0.02 ( 0.01 ) | 14.98 | 0.56 | 0.44 | 10 | 0.02 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "38 100 100 0.5 1 0.36 0.44 ( 0.02 ) 10 ( 0.48 ) 0.02 ( 0.01 ) 14.98 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "38 0.56 0.44 10 0.02 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[38, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.36 0.62 ( 0.04 )8.59 ( 0.46 )0.02 ( 0.01 )13.57 0.51 0.62 8.59 0.02
    100 50 0.1 0.50 0.47 0.37 ( 0.01 )6.3 ( 0.43 ) 0 ( 0 ) 11.30 0.4 0.37 6.30 0.00
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    1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 )0 ( 0 ) 6.66 0.08 0.27 1.66 0.00
    50 100 0.1 2.00 0.32 0.67 ( 0.05 )11.84 ( 0.4 )0 ( 0 ) 16.84 0.62 0.67 11.80 0.00
    100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 )0 ( 0 ) 12.71 0.46 0.40 7.71 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.36 & 0.62 ( 0.04 ) & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 13.57 & 0.51 & 0.62 & 8.59 & 0.02 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.47 & 0.37 ( 0.01 ) & 6.3 ( 0.43 ) & 0 ( 0 ) & 11.30 & 0.4 & 0.37 & 6.30 & 0.00 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.73 & 0.28 ( 0 ) & 2.88 ( 0.21 ) & 0 ( 0 ) & 7.88 & 0.2 & 0.28 & 2.88 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.89 & 0.27 ( 0 ) & 1.66 ( 0.11 ) & 0 ( 0 ) & 6.66 & 0.08 & 0.27 & 1.66 & 0.00 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.32 & 0.67 ( 0.05 ) & 11.84 ( 0.4 ) & 0 ( 0 ) & 16.84 & 0.62 & 0.67 & 11.80 & 0.00 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.44 & 0.4 ( 0.01 ) & 7.71 ( 0.56 ) & 0 ( 0 ) & 12.71 & 0.46 & 0.40 & 7.71 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.36 | 0.62 ( 0.04 ) | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 13.57 | 0.51 | 0.62 | 8.59 | 0.02 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.47 | 0.37 ( 0.01 ) | 6.3 ( 0.43 ) | 0 ( 0 ) | 11.30 | 0.4 | 0.37 | 6.30 | 0.00 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.73 | 0.28 ( 0 ) | 2.88 ( 0.21 ) | 0 ( 0 ) | 7.88 | 0.2 | 0.28 | 2.88 | 0.00 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.89 | 0.27 ( 0 ) | 1.66 ( 0.11 ) | 0 ( 0 ) | 6.66 | 0.08 | 0.27 | 1.66 | 0.00 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.32 | 0.67 ( 0.05 ) | 11.84 ( 0.4 ) | 0 ( 0 ) | 16.84 | 0.62 | 0.67 | 11.80 | 0.00 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.44 | 0.4 ( 0.01 ) | 7.71 ( 0.56 ) | 0 ( 0 ) | 12.71 | 0.46 | 0.40 | 7.71 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 ) 13.57 \n", + "2 100 50 0.1 0.50 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) 11.30 \n", + "3 500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 ) 0 ( 0 ) 7.88 \n", + "4 1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) 6.66 \n", + "5 50 100 0.1 2.00 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) 16.84 \n", + "6 100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) 12.71 \n", + " FDR MSE_mean FP_mean FN_mean\n", + "1 0.51 0.62 8.59 0.02 \n", + "2 0.4 0.37 6.30 0.00 \n", + "3 0.2 0.28 2.88 0.00 \n", + "4 0.08 0.27 1.66 0.00 \n", + "5 0.62 0.67 11.80 0.00 \n", + "6 0.46 0.40 7.71 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
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    79 500 1000 0.9 2.0 0.20 0.31 ( 0 ) 24.62 ( 1.01 )0.05 ( 0.02 ) 29.57 0.77 0.31 24.6 0.05
    801000 1000 0.9 1.0 0.25 0.28 ( 0 ) 18.51 ( 0.86 )0 ( 0 ) 23.51 0.71 0.28 18.5 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.25 & 0.3 ( 0 ) & 18.18 ( 0.69 ) & 0.03 ( 0.02 ) & 23.15 & 0.72 & 0.30 & 18.1 & 0.03 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.33 & 0.28 ( 0 ) & 12.68 ( 0.57 ) & 0 ( 0 ) & 17.68 & 0.63 & 0.28 & 12.6 & 0.00 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.08 & 0.9 ( 0.05 ) & 18.15 ( 0.34 ) & 3.92 ( 0.08 ) & 19.23 & 0.89 & 0.90 & 18.1 & 3.92 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.16 & 0.59 ( 0.02 ) & 15.99 ( 0.66 ) & 2.88 ( 0.06 ) & 18.11 & 0.81 & 0.59 & 15.9 & 2.88 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.20 & 0.31 ( 0 ) & 24.62 ( 1.01 ) & 0.05 ( 0.02 ) & 29.57 & 0.77 & 0.31 & 24.6 & 0.05 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.25 & 0.28 ( 0 ) & 18.51 ( 0.86 ) & 0 ( 0 ) & 23.51 & 0.71 & 0.28 & 18.5 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.25 | 0.3 ( 0 ) | 18.18 ( 0.69 ) | 0.03 ( 0.02 ) | 23.15 | 0.72 | 0.30 | 18.1 | 0.03 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.33 | 0.28 ( 0 ) | 12.68 ( 0.57 ) | 0 ( 0 ) | 17.68 | 0.63 | 0.28 | 12.6 | 0.00 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.08 | 0.9 ( 0.05 ) | 18.15 ( 0.34 ) | 3.92 ( 0.08 ) | 19.23 | 0.89 | 0.90 | 18.1 | 3.92 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.16 | 0.59 ( 0.02 ) | 15.99 ( 0.66 ) | 2.88 ( 0.06 ) | 18.11 | 0.81 | 0.59 | 15.9 | 2.88 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.20 | 0.31 ( 0 ) | 24.62 ( 1.01 ) | 0.05 ( 0.02 ) | 29.57 | 0.77 | 0.31 | 24.6 | 0.05 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.25 | 0.28 ( 0 ) | 18.51 ( 0.86 ) | 0 ( 0 ) | 23.51 | 0.71 | 0.28 | 18.5 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.25 0.3 ( 0 ) 18.18 ( 0.69 ) 0.03 ( 0.02 )\n", + "76 1000 500 0.9 0.5 0.33 0.28 ( 0 ) 12.68 ( 0.57 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.08 0.9 ( 0.05 ) 18.15 ( 0.34 ) 3.92 ( 0.08 )\n", + "78 100 1000 0.9 10.0 0.16 0.59 ( 0.02 ) 15.99 ( 0.66 ) 2.88 ( 0.06 )\n", + "79 500 1000 0.9 2.0 0.20 0.31 ( 0 ) 24.62 ( 1.01 ) 0.05 ( 0.02 )\n", + "80 1000 1000 0.9 1.0 0.25 0.28 ( 0 ) 18.51 ( 0.86 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "75 23.15 0.72 0.30 18.1 0.03 \n", + "76 17.68 0.63 0.28 12.6 0.00 \n", + "77 19.23 0.89 0.90 18.1 3.92 \n", + "78 18.11 0.81 0.59 15.9 2.88 \n", + "79 29.57 0.77 0.31 24.6 0.05 \n", + "80 23.51 0.71 0.28 18.5 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_mean
    50 50 0.1 1.00 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 ) 13.57 0.51 0.62 8.59 0.02
    100 50 0.1 0.50 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) 11.30 0.4 0.37 6.30 0.00
    500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 ) 0 ( 0 ) 7.88 0.2 0.28 2.88 0.00
    1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) 6.66 0.08 0.27 1.66 0.00
    50 100 0.1 2.00 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) 16.84 0.62 0.67 11.80 0.00
    100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) 12.71 0.46 0.40 7.71 0.00
    500 100 0.1 0.20 0.70 0.27 ( 0 ) 3.35 ( 0.22 ) 0 ( 0 ) 8.35 0.23 0.27 3.35 0.00
    1000 100 0.1 0.10 0.81 0.27 ( 0 ) 2.29 ( 0.23 ) 0 ( 0 ) 7.29 0.13 0.27 2.29 0.00
    50 500 0.1 10.00 0.18 1.61 ( 0.1 ) 20.85 ( 0.38 )0.69 ( 0.08 ) 25.16 0.78 1.61 20.80 0.69
    100 500 0.1 5.00 0.30 0.53 ( 0.02 ) 14.69 ( 0.7 ) 0 ( 0 ) 19.69 0.66 0.53 14.60 0.00
    500 500 0.1 1.00 0.55 0.28 ( 0 ) 5.86 ( 0.51 ) 0 ( 0 ) 10.86 0.36 0.28 5.86 0.00
    1000 500 0.1 0.50 0.78 0.28 ( 0 ) 2.69 ( 0.21 ) 0 ( 0 ) 7.69 0.17 0.28 2.69 0.00
    50 1000 0.1 20.00 0.13 2.23 ( 0.14 ) 24.37 ( 0.39 )1.36 ( 0.1 ) 28.01 0.83 2.23 24.30 1.36
    100 1000 0.1 10.00 0.25 0.57 ( 0.03 ) 18.79 ( 0.7 ) 0 ( 0 ) 23.79 0.73 0.57 18.70 0.00
    500 1000 0.1 2.00 0.49 0.28 ( 0 ) 7.08 ( 0.53 ) 0 ( 0 ) 12.08 0.41 0.28 7.08 0.00
    1000 1000 0.1 1.00 0.70 0.27 ( 0 ) 3.59 ( 0.33 ) 0 ( 0 ) 8.59 0.23 0.27 3.59 0.00
    50 50 0.3 1.00 0.35 0.57 ( 0.03 ) 8.86 ( 0.42 ) 0.05 ( 0.02 ) 13.81 0.53 0.57 8.86 0.05
    100 50 0.3 0.50 0.47 0.36 ( 0.01 ) 6.18 ( 0.36 ) 0 ( 0 ) 11.18 0.41 0.36 6.18 0.00
    500 50 0.3 0.10 0.70 0.28 ( 0 ) 3.14 ( 0.21 ) 0 ( 0 ) 8.14 0.22 0.28 3.14 0.00
    1000 50 0.3 0.05 0.86 0.27 ( 0 ) 1.86 ( 0.11 ) 0 ( 0 ) 6.86 0.11 0.27 1.86 0.00
    50 100 0.3 2.00 0.31 0.76 ( 0.04 ) 11.12 ( 0.37 )0.17 ( 0.04 ) 15.95 0.62 0.76 11.10 0.17
    100 100 0.3 1.00 0.38 0.41 ( 0.01 ) 9.43 ( 0.53 ) 0 ( 0 ) 14.43 0.54 0.41 9.43 0.00
    500 100 0.3 0.20 0.63 0.27 ( 0 ) 4.16 ( 0.27 ) 0 ( 0 ) 9.16 0.29 0.27 4.16 0.00
    1000 100 0.3 0.10 0.80 0.27 ( 0 ) 2.36 ( 0.17 ) 0 ( 0 ) 7.36 0.15 0.27 2.36 0.00
    50 500 0.3 10.00 0.14 1.78 ( 0.11 ) 21.4 ( 0.41 ) 1.39 ( 0.1 ) 25.01 0.81 1.78 21.40 1.39
    100 500 0.3 5.00 0.26 0.53 ( 0.02 ) 16.81 ( 0.77 )0.02 ( 0.01 ) 21.79 0.7 0.53 16.80 0.02
    500 500 0.3 1.00 0.55 0.29 ( 0 ) 5.89 ( 0.51 ) 0 ( 0 ) 10.89 0.36 0.29 5.89 0.00
    1000 500 0.3 0.50 0.69 0.27 ( 0 ) 3.68 ( 0.32 ) 0 ( 0 ) 8.68 0.25 0.27 3.68 0.00
    50 1000 0.3 20.00 0.11 2.21 ( 0.15 ) 25.14 ( 0.35 )1.87 ( 0.1 ) 28.27 0.85 2.21 25.10 1.87
    100 1000 0.3 10.00 0.22 0.61 ( 0.03 ) 21.11 ( 0.75 )0.02 ( 0.01 ) 26.09 0.75 0.61 21.10 0.02
    .......................................
    500 50 0.7 0.10 0.60 0.27 ( 0 ) 4.38 ( 0.21 ) 0 ( 0 ) 9.38 0.33 0.27 4.38 0.00
    1000 50 0.7 0.05 0.74 0.27 ( 0 ) 2.84 ( 0.14 ) 0 ( 0 ) 7.84 0.21 0.27 2.84 0.00
    50 100 0.7 2.00 0.23 0.8 ( 0.04 ) 11.57 ( 0.53 )1.26 ( 0.1 ) 15.31 0.66 0.80 11.50 1.26
    100 100 0.7 1.00 0.31 0.39 ( 0.01 ) 11.68 ( 0.51 )0.1 ( 0.04 ) 16.58 0.61 0.39 11.60 0.10
    500 100 0.7 0.20 0.49 0.28 ( 0 ) 6.56 ( 0.32 ) 0 ( 0 ) 11.56 0.44 0.28 6.56 0.00
    1000 100 0.7 0.10 0.63 0.27 ( 0 ) 4.24 ( 0.26 ) 0 ( 0 ) 9.24 0.3 0.27 4.24 0.00
    50 500 0.7 10.00 0.12 1.37 ( 0.08 ) 19.8 ( 0.33 ) 2.78 ( 0.08 ) 22.02 0.85 1.37 19.80 2.78
    100 500 0.7 5.00 0.19 0.62 ( 0.03 ) 18.58 ( 0.85 )0.88 ( 0.08 ) 22.70 0.75 0.62 18.50 0.88
    500 500 0.7 1.00 0.36 0.3 ( 0 ) 11.31 ( 0.6 ) 0 ( 0 ) 16.31 0.58 0.30 11.30 0.00
    1000 500 0.7 0.50 0.46 0.27 ( 0 ) 7.93 ( 0.49 ) 0 ( 0 ) 12.93 0.47 0.27 7.93 0.00
    50 1000 0.7 20.00 0.09 1.5 ( 0.08 ) 22.99 ( 0.35 )3.2 ( 0.09 ) 24.79 0.88 1.50 22.90 3.20
    100 1000 0.7 10.00 0.14 0.77 ( 0.04 ) 22.43 ( 0.68 )1.45 ( 0.1 ) 25.98 0.82 0.77 22.40 1.45
    500 1000 0.7 2.00 0.30 0.31 ( 0 ) 14.7 ( 0.84 ) 0 ( 0 ) 19.70 0.65 0.31 14.70 0.00
    1000 1000 0.7 1.00 0.41 0.28 ( 0 ) 9.63 ( 0.54 ) 0 ( 0 ) 14.63 0.53 0.28 9.63 0.00
    50 50 0.9 1.00 0.31 0.55 ( 0.03 ) 5.65 ( 0.29 ) 2.17 ( 0.13 ) 8.48 0.51 0.55 5.65 2.17
    100 50 0.9 0.50 0.38 0.38 ( 0.02 ) 5.85 ( 0.3 ) 1.03 ( 0.11 ) 9.82 0.45 0.38 5.85 1.03
    500 50 0.9 0.10 0.61 0.28 ( 0 ) 4.34 ( 0.19 ) 0.01 ( 0.01 ) 9.33 0.33 0.28 4.34 0.01
    1000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) 7.71 0.2 0.27 2.71 0.00
    50 100 0.9 2.00 0.26 0.6 ( 0.03 ) 7.26 ( 0.35 ) 2.69 ( 0.1 ) 9.57 0.62 0.60 7.26 2.69
    100 100 0.9 1.00 0.31 0.44 ( 0.01 ) 7.79 ( 0.39 ) 1.51 ( 0.11 ) 11.28 0.57 0.44 7.79 1.51
    500 100 0.9 0.20 0.51 0.29 ( 0 ) 6.45 ( 0.27 ) 0 ( 0 ) 11.45 0.45 0.29 6.45 0.00
    1000 100 0.9 0.10 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) 9.72 0.35 0.27 4.72 0.00
    50 500 0.9 10.00 0.13 0.81 ( 0.04 ) 13.78 ( 0.36 )3.54 ( 0.08 ) 15.24 0.83 0.81 13.70 3.54
    100 500 0.9 5.00 0.18 0.54 ( 0.02 ) 13.78 ( 0.72 )2.58 ( 0.08 ) 16.20 0.76 0.54 13.70 2.58
    500 500 0.9 1.00 0.25 0.3 ( 0 ) 18.18 ( 0.69 )0.03 ( 0.02 ) 23.15 0.72 0.30 18.10 0.03
    1000 500 0.9 0.50 0.33 0.28 ( 0 ) 12.68 ( 0.57 )0 ( 0 ) 17.68 0.63 0.28 12.60 0.00
    50 1000 0.9 20.00 0.08 0.9 ( 0.05 ) 18.15 ( 0.34 )3.92 ( 0.08 ) 19.23 0.89 0.90 18.10 3.92
    100 1000 0.9 10.00 0.16 0.59 ( 0.02 ) 15.99 ( 0.66 )2.88 ( 0.06 ) 18.11 0.81 0.59 15.90 2.88
    500 1000 0.9 2.00 0.20 0.31 ( 0 ) 24.62 ( 1.01 )0.05 ( 0.02 ) 29.57 0.77 0.31 24.60 0.05
    1000 1000 0.9 1.00 0.25 0.28 ( 0 ) 18.51 ( 0.86 )0 ( 0 ) 23.51 0.71 0.28 18.50 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.36 & 0.62 ( 0.04 ) & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 13.57 & 0.51 & 0.62 & 8.59 & 0.02 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.47 & 0.37 ( 0.01 ) & 6.3 ( 0.43 ) & 0 ( 0 ) & 11.30 & 0.4 & 0.37 & 6.30 & 0.00 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.73 & 0.28 ( 0 ) & 2.88 ( 0.21 ) & 0 ( 0 ) & 7.88 & 0.2 & 0.28 & 2.88 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.89 & 0.27 ( 0 ) & 1.66 ( 0.11 ) & 0 ( 0 ) & 6.66 & 0.08 & 0.27 & 1.66 & 0.00 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.32 & 0.67 ( 0.05 ) & 11.84 ( 0.4 ) & 0 ( 0 ) & 16.84 & 0.62 & 0.67 & 11.80 & 0.00 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.44 & 0.4 ( 0.01 ) & 7.71 ( 0.56 ) & 0 ( 0 ) & 12.71 & 0.46 & 0.40 & 7.71 & 0.00 \\\\\n", + "\t 500 & 100 & 0.1 & 0.20 & 0.70 & 0.27 ( 0 ) & 3.35 ( 0.22 ) & 0 ( 0 ) & 8.35 & 0.23 & 0.27 & 3.35 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.1 & 0.10 & 0.81 & 0.27 ( 0 ) & 2.29 ( 0.23 ) & 0 ( 0 ) & 7.29 & 0.13 & 0.27 & 2.29 & 0.00 \\\\\n", + "\t 50 & 500 & 0.1 & 10.00 & 0.18 & 1.61 ( 0.1 ) & 20.85 ( 0.38 ) & 0.69 ( 0.08 ) & 25.16 & 0.78 & 1.61 & 20.80 & 0.69 \\\\\n", + "\t 100 & 500 & 0.1 & 5.00 & 0.30 & 0.53 ( 0.02 ) & 14.69 ( 0.7 ) & 0 ( 0 ) & 19.69 & 0.66 & 0.53 & 14.60 & 0.00 \\\\\n", + "\t 500 & 500 & 0.1 & 1.00 & 0.55 & 0.28 ( 0 ) & 5.86 ( 0.51 ) & 0 ( 0 ) & 10.86 & 0.36 & 0.28 & 5.86 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.1 & 0.50 & 0.78 & 0.28 ( 0 ) & 2.69 ( 0.21 ) & 0 ( 0 ) & 7.69 & 0.17 & 0.28 & 2.69 & 0.00 \\\\\n", + "\t 50 & 1000 & 0.1 & 20.00 & 0.13 & 2.23 ( 0.14 ) & 24.37 ( 0.39 ) & 1.36 ( 0.1 ) & 28.01 & 0.83 & 2.23 & 24.30 & 1.36 \\\\\n", + "\t 100 & 1000 & 0.1 & 10.00 & 0.25 & 0.57 ( 0.03 ) & 18.79 ( 0.7 ) & 0 ( 0 ) & 23.79 & 0.73 & 0.57 & 18.70 & 0.00 \\\\\n", + "\t 500 & 1000 & 0.1 & 2.00 & 0.49 & 0.28 ( 0 ) & 7.08 ( 0.53 ) & 0 ( 0 ) & 12.08 & 0.41 & 0.28 & 7.08 & 0.00 \\\\\n", + "\t 1000 & 1000 & 0.1 & 1.00 & 0.70 & 0.27 ( 0 ) & 3.59 ( 0.33 ) & 0 ( 0 ) & 8.59 & 0.23 & 0.27 & 3.59 & 0.00 \\\\\n", + "\t 50 & 50 & 0.3 & 1.00 & 0.35 & 0.57 ( 0.03 ) & 8.86 ( 0.42 ) & 0.05 ( 0.02 ) & 13.81 & 0.53 & 0.57 & 8.86 & 0.05 \\\\\n", + "\t 100 & 50 & 0.3 & 0.50 & 0.47 & 0.36 ( 0.01 ) & 6.18 ( 0.36 ) & 0 ( 0 ) & 11.18 & 0.41 & 0.36 & 6.18 & 0.00 \\\\\n", + "\t 500 & 50 & 0.3 & 0.10 & 0.70 & 0.28 ( 0 ) & 3.14 ( 0.21 ) & 0 ( 0 ) & 8.14 & 0.22 & 0.28 & 3.14 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.3 & 0.05 & 0.86 & 0.27 ( 0 ) & 1.86 ( 0.11 ) & 0 ( 0 ) & 6.86 & 0.11 & 0.27 & 1.86 & 0.00 \\\\\n", + "\t 50 & 100 & 0.3 & 2.00 & 0.31 & 0.76 ( 0.04 ) & 11.12 ( 0.37 ) & 0.17 ( 0.04 ) & 15.95 & 0.62 & 0.76 & 11.10 & 0.17 \\\\\n", + "\t 100 & 100 & 0.3 & 1.00 & 0.38 & 0.41 ( 0.01 ) & 9.43 ( 0.53 ) & 0 ( 0 ) & 14.43 & 0.54 & 0.41 & 9.43 & 0.00 \\\\\n", + "\t 500 & 100 & 0.3 & 0.20 & 0.63 & 0.27 ( 0 ) & 4.16 ( 0.27 ) & 0 ( 0 ) & 9.16 & 0.29 & 0.27 & 4.16 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.3 & 0.10 & 0.80 & 0.27 ( 0 ) & 2.36 ( 0.17 ) & 0 ( 0 ) & 7.36 & 0.15 & 0.27 & 2.36 & 0.00 \\\\\n", + "\t 50 & 500 & 0.3 & 10.00 & 0.14 & 1.78 ( 0.11 ) & 21.4 ( 0.41 ) & 1.39 ( 0.1 ) & 25.01 & 0.81 & 1.78 & 21.40 & 1.39 \\\\\n", + "\t 100 & 500 & 0.3 & 5.00 & 0.26 & 0.53 ( 0.02 ) & 16.81 ( 0.77 ) & 0.02 ( 0.01 ) & 21.79 & 0.7 & 0.53 & 16.80 & 0.02 \\\\\n", + "\t 500 & 500 & 0.3 & 1.00 & 0.55 & 0.29 ( 0 ) & 5.89 ( 0.51 ) & 0 ( 0 ) & 10.89 & 0.36 & 0.29 & 5.89 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.3 & 0.50 & 0.69 & 0.27 ( 0 ) & 3.68 ( 0.32 ) & 0 ( 0 ) & 8.68 & 0.25 & 0.27 & 3.68 & 0.00 \\\\\n", + "\t 50 & 1000 & 0.3 & 20.00 & 0.11 & 2.21 ( 0.15 ) & 25.14 ( 0.35 ) & 1.87 ( 0.1 ) & 28.27 & 0.85 & 2.21 & 25.10 & 1.87 \\\\\n", + "\t 100 & 1000 & 0.3 & 10.00 & 0.22 & 0.61 ( 0.03 ) & 21.11 ( 0.75 ) & 0.02 ( 0.01 ) & 26.09 & 0.75 & 0.61 & 21.10 & 0.02 \\\\\n", + "\t ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t 500 & 50 & 0.7 & 0.10 & 0.60 & 0.27 ( 0 ) & 4.38 ( 0.21 ) & 0 ( 0 ) & 9.38 & 0.33 & 0.27 & 4.38 & 0.00 \\\\\n", + "\t 1000 & 50 & 0.7 & 0.05 & 0.74 & 0.27 ( 0 ) & 2.84 ( 0.14 ) & 0 ( 0 ) & 7.84 & 0.21 & 0.27 & 2.84 & 0.00 \\\\\n", + "\t 50 & 100 & 0.7 & 2.00 & 0.23 & 0.8 ( 0.04 ) & 11.57 ( 0.53 ) & 1.26 ( 0.1 ) & 15.31 & 0.66 & 0.80 & 11.50 & 1.26 \\\\\n", + "\t 100 & 100 & 0.7 & 1.00 & 0.31 & 0.39 ( 0.01 ) & 11.68 ( 0.51 ) & 0.1 ( 0.04 ) & 16.58 & 0.61 & 0.39 & 11.60 & 0.10 \\\\\n", + "\t 500 & 100 & 0.7 & 0.20 & 0.49 & 0.28 ( 0 ) & 6.56 ( 0.32 ) & 0 ( 0 ) & 11.56 & 0.44 & 0.28 & 6.56 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.7 & 0.10 & 0.63 & 0.27 ( 0 ) & 4.24 ( 0.26 ) & 0 ( 0 ) & 9.24 & 0.3 & 0.27 & 4.24 & 0.00 \\\\\n", + "\t 50 & 500 & 0.7 & 10.00 & 0.12 & 1.37 ( 0.08 ) & 19.8 ( 0.33 ) & 2.78 ( 0.08 ) & 22.02 & 0.85 & 1.37 & 19.80 & 2.78 \\\\\n", + "\t 100 & 500 & 0.7 & 5.00 & 0.19 & 0.62 ( 0.03 ) & 18.58 ( 0.85 ) & 0.88 ( 0.08 ) & 22.70 & 0.75 & 0.62 & 18.50 & 0.88 \\\\\n", + "\t 500 & 500 & 0.7 & 1.00 & 0.36 & 0.3 ( 0 ) & 11.31 ( 0.6 ) & 0 ( 0 ) & 16.31 & 0.58 & 0.30 & 11.30 & 0.00 \\\\\n", + "\t 1000 & 500 & 0.7 & 0.50 & 0.46 & 0.27 ( 0 ) & 7.93 ( 0.49 ) & 0 ( 0 ) & 12.93 & 0.47 & 0.27 & 7.93 & 0.00 \\\\\n", + "\t 50 & 1000 & 0.7 & 20.00 & 0.09 & 1.5 ( 0.08 ) & 22.99 ( 0.35 ) & 3.2 ( 0.09 ) & 24.79 & 0.88 & 1.50 & 22.90 & 3.20 \\\\\n", + "\t 100 & 1000 & 0.7 & 10.00 & 0.14 & 0.77 ( 0.04 ) & 22.43 ( 0.68 ) & 1.45 ( 0.1 ) & 25.98 & 0.82 & 0.77 & 22.40 & 1.45 \\\\\n", + "\t 500 & 1000 & 0.7 & 2.00 & 0.30 & 0.31 ( 0 ) & 14.7 ( 0.84 ) & 0 ( 0 ) & 19.70 & 0.65 & 0.31 & 14.70 & 0.00 \\\\\n", + "\t 1000 & 1000 & 0.7 & 1.00 & 0.41 & 0.28 ( 0 ) & 9.63 ( 0.54 ) & 0 ( 0 ) & 14.63 & 0.53 & 0.28 & 9.63 & 0.00 \\\\\n", + "\t 50 & 50 & 0.9 & 1.00 & 0.31 & 0.55 ( 0.03 ) & 5.65 ( 0.29 ) & 2.17 ( 0.13 ) & 8.48 & 0.51 & 0.55 & 5.65 & 2.17 \\\\\n", + "\t 100 & 50 & 0.9 & 0.50 & 0.38 & 0.38 ( 0.02 ) & 5.85 ( 0.3 ) & 1.03 ( 0.11 ) & 9.82 & 0.45 & 0.38 & 5.85 & 1.03 \\\\\n", + "\t 500 & 50 & 0.9 & 0.10 & 0.61 & 0.28 ( 0 ) & 4.34 ( 0.19 ) & 0.01 ( 0.01 ) & 9.33 & 0.33 & 0.28 & 4.34 & 0.01 \\\\\n", + "\t 1000 & 50 & 0.9 & 0.05 & 0.76 & 0.27 ( 0 ) & 2.71 ( 0.12 ) & 0 ( 0 ) & 7.71 & 0.2 & 0.27 & 2.71 & 0.00 \\\\\n", + "\t 50 & 100 & 0.9 & 2.00 & 0.26 & 0.6 ( 0.03 ) & 7.26 ( 0.35 ) & 2.69 ( 0.1 ) & 9.57 & 0.62 & 0.60 & 7.26 & 2.69 \\\\\n", + "\t 100 & 100 & 0.9 & 1.00 & 0.31 & 0.44 ( 0.01 ) & 7.79 ( 0.39 ) & 1.51 ( 0.11 ) & 11.28 & 0.57 & 0.44 & 7.79 & 1.51 \\\\\n", + "\t 500 & 100 & 0.9 & 0.20 & 0.51 & 0.29 ( 0 ) & 6.45 ( 0.27 ) & 0 ( 0 ) & 11.45 & 0.45 & 0.29 & 6.45 & 0.00 \\\\\n", + "\t 1000 & 100 & 0.9 & 0.10 & 0.61 & 0.27 ( 0 ) & 4.72 ( 0.21 ) & 0 ( 0 ) & 9.72 & 0.35 & 0.27 & 4.72 & 0.00 \\\\\n", + "\t 50 & 500 & 0.9 & 10.00 & 0.13 & 0.81 ( 0.04 ) & 13.78 ( 0.36 ) & 3.54 ( 0.08 ) & 15.24 & 0.83 & 0.81 & 13.70 & 3.54 \\\\\n", + "\t 100 & 500 & 0.9 & 5.00 & 0.18 & 0.54 ( 0.02 ) & 13.78 ( 0.72 ) & 2.58 ( 0.08 ) & 16.20 & 0.76 & 0.54 & 13.70 & 2.58 \\\\\n", + "\t 500 & 500 & 0.9 & 1.00 & 0.25 & 0.3 ( 0 ) & 18.18 ( 0.69 ) & 0.03 ( 0.02 ) & 23.15 & 0.72 & 0.30 & 18.10 & 0.03 \\\\\n", + "\t 1000 & 500 & 0.9 & 0.50 & 0.33 & 0.28 ( 0 ) & 12.68 ( 0.57 ) & 0 ( 0 ) & 17.68 & 0.63 & 0.28 & 12.60 & 0.00 \\\\\n", + "\t 50 & 1000 & 0.9 & 20.00 & 0.08 & 0.9 ( 0.05 ) & 18.15 ( 0.34 ) & 3.92 ( 0.08 ) & 19.23 & 0.89 & 0.90 & 18.10 & 3.92 \\\\\n", + "\t 100 & 1000 & 0.9 & 10.00 & 0.16 & 0.59 ( 0.02 ) & 15.99 ( 0.66 ) & 2.88 ( 0.06 ) & 18.11 & 0.81 & 0.59 & 15.90 & 2.88 \\\\\n", + "\t 500 & 1000 & 0.9 & 2.00 & 0.20 & 0.31 ( 0 ) & 24.62 ( 1.01 ) & 0.05 ( 0.02 ) & 29.57 & 0.77 & 0.31 & 24.60 & 0.05 \\\\\n", + "\t 1000 & 1000 & 0.9 & 1.00 & 0.25 & 0.28 ( 0 ) & 18.51 ( 0.86 ) & 0 ( 0 ) & 23.51 & 0.71 & 0.28 & 18.50 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.36 | 0.62 ( 0.04 ) | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 13.57 | 0.51 | 0.62 | 8.59 | 0.02 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.47 | 0.37 ( 0.01 ) | 6.3 ( 0.43 ) | 0 ( 0 ) | 11.30 | 0.4 | 0.37 | 6.30 | 0.00 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.73 | 0.28 ( 0 ) | 2.88 ( 0.21 ) | 0 ( 0 ) | 7.88 | 0.2 | 0.28 | 2.88 | 0.00 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.89 | 0.27 ( 0 ) | 1.66 ( 0.11 ) | 0 ( 0 ) | 6.66 | 0.08 | 0.27 | 1.66 | 0.00 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.32 | 0.67 ( 0.05 ) | 11.84 ( 0.4 ) | 0 ( 0 ) | 16.84 | 0.62 | 0.67 | 11.80 | 0.00 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.44 | 0.4 ( 0.01 ) | 7.71 ( 0.56 ) | 0 ( 0 ) | 12.71 | 0.46 | 0.40 | 7.71 | 0.00 |\n", + "| 500 | 100 | 0.1 | 0.20 | 0.70 | 0.27 ( 0 ) | 3.35 ( 0.22 ) | 0 ( 0 ) | 8.35 | 0.23 | 0.27 | 3.35 | 0.00 |\n", + "| 1000 | 100 | 0.1 | 0.10 | 0.81 | 0.27 ( 0 ) | 2.29 ( 0.23 ) | 0 ( 0 ) | 7.29 | 0.13 | 0.27 | 2.29 | 0.00 |\n", + "| 50 | 500 | 0.1 | 10.00 | 0.18 | 1.61 ( 0.1 ) | 20.85 ( 0.38 ) | 0.69 ( 0.08 ) | 25.16 | 0.78 | 1.61 | 20.80 | 0.69 |\n", + "| 100 | 500 | 0.1 | 5.00 | 0.30 | 0.53 ( 0.02 ) | 14.69 ( 0.7 ) | 0 ( 0 ) | 19.69 | 0.66 | 0.53 | 14.60 | 0.00 |\n", + "| 500 | 500 | 0.1 | 1.00 | 0.55 | 0.28 ( 0 ) | 5.86 ( 0.51 ) | 0 ( 0 ) | 10.86 | 0.36 | 0.28 | 5.86 | 0.00 |\n", + "| 1000 | 500 | 0.1 | 0.50 | 0.78 | 0.28 ( 0 ) | 2.69 ( 0.21 ) | 0 ( 0 ) | 7.69 | 0.17 | 0.28 | 2.69 | 0.00 |\n", + "| 50 | 1000 | 0.1 | 20.00 | 0.13 | 2.23 ( 0.14 ) | 24.37 ( 0.39 ) | 1.36 ( 0.1 ) | 28.01 | 0.83 | 2.23 | 24.30 | 1.36 |\n", + "| 100 | 1000 | 0.1 | 10.00 | 0.25 | 0.57 ( 0.03 ) | 18.79 ( 0.7 ) | 0 ( 0 ) | 23.79 | 0.73 | 0.57 | 18.70 | 0.00 |\n", + "| 500 | 1000 | 0.1 | 2.00 | 0.49 | 0.28 ( 0 ) | 7.08 ( 0.53 ) | 0 ( 0 ) | 12.08 | 0.41 | 0.28 | 7.08 | 0.00 |\n", + "| 1000 | 1000 | 0.1 | 1.00 | 0.70 | 0.27 ( 0 ) | 3.59 ( 0.33 ) | 0 ( 0 ) | 8.59 | 0.23 | 0.27 | 3.59 | 0.00 |\n", + "| 50 | 50 | 0.3 | 1.00 | 0.35 | 0.57 ( 0.03 ) | 8.86 ( 0.42 ) | 0.05 ( 0.02 ) | 13.81 | 0.53 | 0.57 | 8.86 | 0.05 |\n", + "| 100 | 50 | 0.3 | 0.50 | 0.47 | 0.36 ( 0.01 ) | 6.18 ( 0.36 ) | 0 ( 0 ) | 11.18 | 0.41 | 0.36 | 6.18 | 0.00 |\n", + "| 500 | 50 | 0.3 | 0.10 | 0.70 | 0.28 ( 0 ) | 3.14 ( 0.21 ) | 0 ( 0 ) | 8.14 | 0.22 | 0.28 | 3.14 | 0.00 |\n", + "| 1000 | 50 | 0.3 | 0.05 | 0.86 | 0.27 ( 0 ) | 1.86 ( 0.11 ) | 0 ( 0 ) | 6.86 | 0.11 | 0.27 | 1.86 | 0.00 |\n", + "| 50 | 100 | 0.3 | 2.00 | 0.31 | 0.76 ( 0.04 ) | 11.12 ( 0.37 ) | 0.17 ( 0.04 ) | 15.95 | 0.62 | 0.76 | 11.10 | 0.17 |\n", + "| 100 | 100 | 0.3 | 1.00 | 0.38 | 0.41 ( 0.01 ) | 9.43 ( 0.53 ) | 0 ( 0 ) | 14.43 | 0.54 | 0.41 | 9.43 | 0.00 |\n", + "| 500 | 100 | 0.3 | 0.20 | 0.63 | 0.27 ( 0 ) | 4.16 ( 0.27 ) | 0 ( 0 ) | 9.16 | 0.29 | 0.27 | 4.16 | 0.00 |\n", + "| 1000 | 100 | 0.3 | 0.10 | 0.80 | 0.27 ( 0 ) | 2.36 ( 0.17 ) | 0 ( 0 ) | 7.36 | 0.15 | 0.27 | 2.36 | 0.00 |\n", + "| 50 | 500 | 0.3 | 10.00 | 0.14 | 1.78 ( 0.11 ) | 21.4 ( 0.41 ) | 1.39 ( 0.1 ) | 25.01 | 0.81 | 1.78 | 21.40 | 1.39 |\n", + "| 100 | 500 | 0.3 | 5.00 | 0.26 | 0.53 ( 0.02 ) | 16.81 ( 0.77 ) | 0.02 ( 0.01 ) | 21.79 | 0.7 | 0.53 | 16.80 | 0.02 |\n", + "| 500 | 500 | 0.3 | 1.00 | 0.55 | 0.29 ( 0 ) | 5.89 ( 0.51 ) | 0 ( 0 ) | 10.89 | 0.36 | 0.29 | 5.89 | 0.00 |\n", + "| 1000 | 500 | 0.3 | 0.50 | 0.69 | 0.27 ( 0 ) | 3.68 ( 0.32 ) | 0 ( 0 ) | 8.68 | 0.25 | 0.27 | 3.68 | 0.00 |\n", + "| 50 | 1000 | 0.3 | 20.00 | 0.11 | 2.21 ( 0.15 ) | 25.14 ( 0.35 ) | 1.87 ( 0.1 ) | 28.27 | 0.85 | 2.21 | 25.10 | 1.87 |\n", + "| 100 | 1000 | 0.3 | 10.00 | 0.22 | 0.61 ( 0.03 ) | 21.11 ( 0.75 ) | 0.02 ( 0.01 ) | 26.09 | 0.75 | 0.61 | 21.10 | 0.02 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 500 | 50 | 0.7 | 0.10 | 0.60 | 0.27 ( 0 ) | 4.38 ( 0.21 ) | 0 ( 0 ) | 9.38 | 0.33 | 0.27 | 4.38 | 0.00 |\n", + "| 1000 | 50 | 0.7 | 0.05 | 0.74 | 0.27 ( 0 ) | 2.84 ( 0.14 ) | 0 ( 0 ) | 7.84 | 0.21 | 0.27 | 2.84 | 0.00 |\n", + "| 50 | 100 | 0.7 | 2.00 | 0.23 | 0.8 ( 0.04 ) | 11.57 ( 0.53 ) | 1.26 ( 0.1 ) | 15.31 | 0.66 | 0.80 | 11.50 | 1.26 |\n", + "| 100 | 100 | 0.7 | 1.00 | 0.31 | 0.39 ( 0.01 ) | 11.68 ( 0.51 ) | 0.1 ( 0.04 ) | 16.58 | 0.61 | 0.39 | 11.60 | 0.10 |\n", + "| 500 | 100 | 0.7 | 0.20 | 0.49 | 0.28 ( 0 ) | 6.56 ( 0.32 ) | 0 ( 0 ) | 11.56 | 0.44 | 0.28 | 6.56 | 0.00 |\n", + "| 1000 | 100 | 0.7 | 0.10 | 0.63 | 0.27 ( 0 ) | 4.24 ( 0.26 ) | 0 ( 0 ) | 9.24 | 0.3 | 0.27 | 4.24 | 0.00 |\n", + "| 50 | 500 | 0.7 | 10.00 | 0.12 | 1.37 ( 0.08 ) | 19.8 ( 0.33 ) | 2.78 ( 0.08 ) | 22.02 | 0.85 | 1.37 | 19.80 | 2.78 |\n", + "| 100 | 500 | 0.7 | 5.00 | 0.19 | 0.62 ( 0.03 ) | 18.58 ( 0.85 ) | 0.88 ( 0.08 ) | 22.70 | 0.75 | 0.62 | 18.50 | 0.88 |\n", + "| 500 | 500 | 0.7 | 1.00 | 0.36 | 0.3 ( 0 ) | 11.31 ( 0.6 ) | 0 ( 0 ) | 16.31 | 0.58 | 0.30 | 11.30 | 0.00 |\n", + "| 1000 | 500 | 0.7 | 0.50 | 0.46 | 0.27 ( 0 ) | 7.93 ( 0.49 ) | 0 ( 0 ) | 12.93 | 0.47 | 0.27 | 7.93 | 0.00 |\n", + "| 50 | 1000 | 0.7 | 20.00 | 0.09 | 1.5 ( 0.08 ) | 22.99 ( 0.35 ) | 3.2 ( 0.09 ) | 24.79 | 0.88 | 1.50 | 22.90 | 3.20 |\n", + "| 100 | 1000 | 0.7 | 10.00 | 0.14 | 0.77 ( 0.04 ) | 22.43 ( 0.68 ) | 1.45 ( 0.1 ) | 25.98 | 0.82 | 0.77 | 22.40 | 1.45 |\n", + "| 500 | 1000 | 0.7 | 2.00 | 0.30 | 0.31 ( 0 ) | 14.7 ( 0.84 ) | 0 ( 0 ) | 19.70 | 0.65 | 0.31 | 14.70 | 0.00 |\n", + "| 1000 | 1000 | 0.7 | 1.00 | 0.41 | 0.28 ( 0 ) | 9.63 ( 0.54 ) | 0 ( 0 ) | 14.63 | 0.53 | 0.28 | 9.63 | 0.00 |\n", + "| 50 | 50 | 0.9 | 1.00 | 0.31 | 0.55 ( 0.03 ) | 5.65 ( 0.29 ) | 2.17 ( 0.13 ) | 8.48 | 0.51 | 0.55 | 5.65 | 2.17 |\n", + "| 100 | 50 | 0.9 | 0.50 | 0.38 | 0.38 ( 0.02 ) | 5.85 ( 0.3 ) | 1.03 ( 0.11 ) | 9.82 | 0.45 | 0.38 | 5.85 | 1.03 |\n", + "| 500 | 50 | 0.9 | 0.10 | 0.61 | 0.28 ( 0 ) | 4.34 ( 0.19 ) | 0.01 ( 0.01 ) | 9.33 | 0.33 | 0.28 | 4.34 | 0.01 |\n", + "| 1000 | 50 | 0.9 | 0.05 | 0.76 | 0.27 ( 0 ) | 2.71 ( 0.12 ) | 0 ( 0 ) | 7.71 | 0.2 | 0.27 | 2.71 | 0.00 |\n", + "| 50 | 100 | 0.9 | 2.00 | 0.26 | 0.6 ( 0.03 ) | 7.26 ( 0.35 ) | 2.69 ( 0.1 ) | 9.57 | 0.62 | 0.60 | 7.26 | 2.69 |\n", + "| 100 | 100 | 0.9 | 1.00 | 0.31 | 0.44 ( 0.01 ) | 7.79 ( 0.39 ) | 1.51 ( 0.11 ) | 11.28 | 0.57 | 0.44 | 7.79 | 1.51 |\n", + "| 500 | 100 | 0.9 | 0.20 | 0.51 | 0.29 ( 0 ) | 6.45 ( 0.27 ) | 0 ( 0 ) | 11.45 | 0.45 | 0.29 | 6.45 | 0.00 |\n", + "| 1000 | 100 | 0.9 | 0.10 | 0.61 | 0.27 ( 0 ) | 4.72 ( 0.21 ) | 0 ( 0 ) | 9.72 | 0.35 | 0.27 | 4.72 | 0.00 |\n", + "| 50 | 500 | 0.9 | 10.00 | 0.13 | 0.81 ( 0.04 ) | 13.78 ( 0.36 ) | 3.54 ( 0.08 ) | 15.24 | 0.83 | 0.81 | 13.70 | 3.54 |\n", + "| 100 | 500 | 0.9 | 5.00 | 0.18 | 0.54 ( 0.02 ) | 13.78 ( 0.72 ) | 2.58 ( 0.08 ) | 16.20 | 0.76 | 0.54 | 13.70 | 2.58 |\n", + "| 500 | 500 | 0.9 | 1.00 | 0.25 | 0.3 ( 0 ) | 18.18 ( 0.69 ) | 0.03 ( 0.02 ) | 23.15 | 0.72 | 0.30 | 18.10 | 0.03 |\n", + "| 1000 | 500 | 0.9 | 0.50 | 0.33 | 0.28 ( 0 ) | 12.68 ( 0.57 ) | 0 ( 0 ) | 17.68 | 0.63 | 0.28 | 12.60 | 0.00 |\n", + "| 50 | 1000 | 0.9 | 20.00 | 0.08 | 0.9 ( 0.05 ) | 18.15 ( 0.34 ) | 3.92 ( 0.08 ) | 19.23 | 0.89 | 0.90 | 18.10 | 3.92 |\n", + "| 100 | 1000 | 0.9 | 10.00 | 0.16 | 0.59 ( 0.02 ) | 15.99 ( 0.66 ) | 2.88 ( 0.06 ) | 18.11 | 0.81 | 0.59 | 15.90 | 2.88 |\n", + "| 500 | 1000 | 0.9 | 2.00 | 0.20 | 0.31 ( 0 ) | 24.62 ( 1.01 ) | 0.05 ( 0.02 ) | 29.57 | 0.77 | 0.31 | 24.60 | 0.05 |\n", + "| 1000 | 1000 | 0.9 | 1.00 | 0.25 | 0.28 ( 0 ) | 18.51 ( 0.86 ) | 0 ( 0 ) | 23.51 | 0.71 | 0.28 | 18.50 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.00 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 )\n", + "2 100 50 0.1 0.50 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) \n", + "3 500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 ) 0 ( 0 ) \n", + "4 1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) \n", + "5 50 100 0.1 2.00 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) \n", + "6 100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) \n", + "7 500 100 0.1 0.20 0.70 0.27 ( 0 ) 3.35 ( 0.22 ) 0 ( 0 ) \n", + "8 1000 100 0.1 0.10 0.81 0.27 ( 0 ) 2.29 ( 0.23 ) 0 ( 0 ) \n", + "9 50 500 0.1 10.00 0.18 1.61 ( 0.1 ) 20.85 ( 0.38 ) 0.69 ( 0.08 )\n", + "10 100 500 0.1 5.00 0.30 0.53 ( 0.02 ) 14.69 ( 0.7 ) 0 ( 0 ) \n", + "11 500 500 0.1 1.00 0.55 0.28 ( 0 ) 5.86 ( 0.51 ) 0 ( 0 ) \n", + "12 1000 500 0.1 0.50 0.78 0.28 ( 0 ) 2.69 ( 0.21 ) 0 ( 0 ) \n", + "13 50 1000 0.1 20.00 0.13 2.23 ( 0.14 ) 24.37 ( 0.39 ) 1.36 ( 0.1 ) \n", + "14 100 1000 0.1 10.00 0.25 0.57 ( 0.03 ) 18.79 ( 0.7 ) 0 ( 0 ) \n", + "15 500 1000 0.1 2.00 0.49 0.28 ( 0 ) 7.08 ( 0.53 ) 0 ( 0 ) \n", + "16 1000 1000 0.1 1.00 0.70 0.27 ( 0 ) 3.59 ( 0.33 ) 0 ( 0 ) \n", + "17 50 50 0.3 1.00 0.35 0.57 ( 0.03 ) 8.86 ( 0.42 ) 0.05 ( 0.02 )\n", + "18 100 50 0.3 0.50 0.47 0.36 ( 0.01 ) 6.18 ( 0.36 ) 0 ( 0 ) \n", + "19 500 50 0.3 0.10 0.70 0.28 ( 0 ) 3.14 ( 0.21 ) 0 ( 0 ) \n", + "20 1000 50 0.3 0.05 0.86 0.27 ( 0 ) 1.86 ( 0.11 ) 0 ( 0 ) \n", + "21 50 100 0.3 2.00 0.31 0.76 ( 0.04 ) 11.12 ( 0.37 ) 0.17 ( 0.04 )\n", + "22 100 100 0.3 1.00 0.38 0.41 ( 0.01 ) 9.43 ( 0.53 ) 0 ( 0 ) \n", + "23 500 100 0.3 0.20 0.63 0.27 ( 0 ) 4.16 ( 0.27 ) 0 ( 0 ) \n", + "24 1000 100 0.3 0.10 0.80 0.27 ( 0 ) 2.36 ( 0.17 ) 0 ( 0 ) \n", + "25 50 500 0.3 10.00 0.14 1.78 ( 0.11 ) 21.4 ( 0.41 ) 1.39 ( 0.1 ) \n", + "26 100 500 0.3 5.00 0.26 0.53 ( 0.02 ) 16.81 ( 0.77 ) 0.02 ( 0.01 )\n", + "27 500 500 0.3 1.00 0.55 0.29 ( 0 ) 5.89 ( 0.51 ) 0 ( 0 ) \n", + "28 1000 500 0.3 0.50 0.69 0.27 ( 0 ) 3.68 ( 0.32 ) 0 ( 0 ) \n", + "29 50 1000 0.3 20.00 0.11 2.21 ( 0.15 ) 25.14 ( 0.35 ) 1.87 ( 0.1 ) \n", + "30 100 1000 0.3 10.00 0.22 0.61 ( 0.03 ) 21.11 ( 0.75 ) 0.02 ( 0.01 )\n", + "... ... ... ... ... ... ... ... ... \n", + "51 500 50 0.7 0.10 0.60 0.27 ( 0 ) 4.38 ( 0.21 ) 0 ( 0 ) \n", + "52 1000 50 0.7 0.05 0.74 0.27 ( 0 ) 2.84 ( 0.14 ) 0 ( 0 ) \n", + "53 50 100 0.7 2.00 0.23 0.8 ( 0.04 ) 11.57 ( 0.53 ) 1.26 ( 0.1 ) \n", + "54 100 100 0.7 1.00 0.31 0.39 ( 0.01 ) 11.68 ( 0.51 ) 0.1 ( 0.04 ) \n", + "55 500 100 0.7 0.20 0.49 0.28 ( 0 ) 6.56 ( 0.32 ) 0 ( 0 ) \n", + "56 1000 100 0.7 0.10 0.63 0.27 ( 0 ) 4.24 ( 0.26 ) 0 ( 0 ) \n", + "57 50 500 0.7 10.00 0.12 1.37 ( 0.08 ) 19.8 ( 0.33 ) 2.78 ( 0.08 )\n", + "58 100 500 0.7 5.00 0.19 0.62 ( 0.03 ) 18.58 ( 0.85 ) 0.88 ( 0.08 )\n", + "59 500 500 0.7 1.00 0.36 0.3 ( 0 ) 11.31 ( 0.6 ) 0 ( 0 ) \n", + "60 1000 500 0.7 0.50 0.46 0.27 ( 0 ) 7.93 ( 0.49 ) 0 ( 0 ) \n", + "61 50 1000 0.7 20.00 0.09 1.5 ( 0.08 ) 22.99 ( 0.35 ) 3.2 ( 0.09 ) \n", + "62 100 1000 0.7 10.00 0.14 0.77 ( 0.04 ) 22.43 ( 0.68 ) 1.45 ( 0.1 ) \n", + "63 500 1000 0.7 2.00 0.30 0.31 ( 0 ) 14.7 ( 0.84 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.41 0.28 ( 0 ) 9.63 ( 0.54 ) 0 ( 0 ) \n", + "65 50 50 0.9 1.00 0.31 0.55 ( 0.03 ) 5.65 ( 0.29 ) 2.17 ( 0.13 )\n", + "66 100 50 0.9 0.50 0.38 0.38 ( 0.02 ) 5.85 ( 0.3 ) 1.03 ( 0.11 )\n", + "67 500 50 0.9 0.10 0.61 0.28 ( 0 ) 4.34 ( 0.19 ) 0.01 ( 0.01 )\n", + "68 1000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) \n", + "69 50 100 0.9 2.00 0.26 0.6 ( 0.03 ) 7.26 ( 0.35 ) 2.69 ( 0.1 ) \n", + "70 100 100 0.9 1.00 0.31 0.44 ( 0.01 ) 7.79 ( 0.39 ) 1.51 ( 0.11 )\n", + "71 500 100 0.9 0.20 0.51 0.29 ( 0 ) 6.45 ( 0.27 ) 0 ( 0 ) \n", + "72 1000 100 0.9 0.10 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) \n", + "73 50 500 0.9 10.00 0.13 0.81 ( 0.04 ) 13.78 ( 0.36 ) 3.54 ( 0.08 )\n", + "74 100 500 0.9 5.00 0.18 0.54 ( 0.02 ) 13.78 ( 0.72 ) 2.58 ( 0.08 )\n", + "75 500 500 0.9 1.00 0.25 0.3 ( 0 ) 18.18 ( 0.69 ) 0.03 ( 0.02 )\n", + "76 1000 500 0.9 0.50 0.33 0.28 ( 0 ) 12.68 ( 0.57 ) 0 ( 0 ) \n", + "77 50 1000 0.9 20.00 0.08 0.9 ( 0.05 ) 18.15 ( 0.34 ) 3.92 ( 0.08 )\n", + "78 100 1000 0.9 10.00 0.16 0.59 ( 0.02 ) 15.99 ( 0.66 ) 2.88 ( 0.06 )\n", + "79 500 1000 0.9 2.00 0.20 0.31 ( 0 ) 24.62 ( 1.01 ) 0.05 ( 0.02 )\n", + "80 1000 1000 0.9 1.00 0.25 0.28 ( 0 ) 18.51 ( 0.86 ) 0 ( 0 ) \n", + " num_select FDR MSE_mean FP_mean FN_mean\n", + "1 13.57 0.51 0.62 8.59 0.02 \n", + "2 11.30 0.4 0.37 6.30 0.00 \n", + "3 7.88 0.2 0.28 2.88 0.00 \n", + "4 6.66 0.08 0.27 1.66 0.00 \n", + "5 16.84 0.62 0.67 11.80 0.00 \n", + "6 12.71 0.46 0.40 7.71 0.00 \n", + "7 8.35 0.23 0.27 3.35 0.00 \n", + "8 7.29 0.13 0.27 2.29 0.00 \n", + "9 25.16 0.78 1.61 20.80 0.69 \n", + "10 19.69 0.66 0.53 14.60 0.00 \n", + "11 10.86 0.36 0.28 5.86 0.00 \n", + "12 7.69 0.17 0.28 2.69 0.00 \n", + "13 28.01 0.83 2.23 24.30 1.36 \n", + "14 23.79 0.73 0.57 18.70 0.00 \n", + "15 12.08 0.41 0.28 7.08 0.00 \n", + "16 8.59 0.23 0.27 3.59 0.00 \n", + "17 13.81 0.53 0.57 8.86 0.05 \n", + "18 11.18 0.41 0.36 6.18 0.00 \n", + "19 8.14 0.22 0.28 3.14 0.00 \n", + "20 6.86 0.11 0.27 1.86 0.00 \n", + "21 15.95 0.62 0.76 11.10 0.17 \n", + "22 14.43 0.54 0.41 9.43 0.00 \n", + "23 9.16 0.29 0.27 4.16 0.00 \n", + "24 7.36 0.15 0.27 2.36 0.00 \n", + "25 25.01 0.81 1.78 21.40 1.39 \n", + "26 21.79 0.7 0.53 16.80 0.02 \n", + "27 10.89 0.36 0.29 5.89 0.00 \n", + "28 8.68 0.25 0.27 3.68 0.00 \n", + "29 28.27 0.85 2.21 25.10 1.87 \n", + "30 26.09 0.75 0.61 21.10 0.02 \n", + "... ... ... ... ... ... \n", + "51 9.38 0.33 0.27 4.38 0.00 \n", + "52 7.84 0.21 0.27 2.84 0.00 \n", + "53 15.31 0.66 0.80 11.50 1.26 \n", + "54 16.58 0.61 0.39 11.60 0.10 \n", + "55 11.56 0.44 0.28 6.56 0.00 \n", + "56 9.24 0.3 0.27 4.24 0.00 \n", + "57 22.02 0.85 1.37 19.80 2.78 \n", + "58 22.70 0.75 0.62 18.50 0.88 \n", + "59 16.31 0.58 0.30 11.30 0.00 \n", + "60 12.93 0.47 0.27 7.93 0.00 \n", + "61 24.79 0.88 1.50 22.90 3.20 \n", + "62 25.98 0.82 0.77 22.40 1.45 \n", + "63 19.70 0.65 0.31 14.70 0.00 \n", + "64 14.63 0.53 0.28 9.63 0.00 \n", + "65 8.48 0.51 0.55 5.65 2.17 \n", + "66 9.82 0.45 0.38 5.85 1.03 \n", + "67 9.33 0.33 0.28 4.34 0.01 \n", + "68 7.71 0.2 0.27 2.71 0.00 \n", + "69 9.57 0.62 0.60 7.26 2.69 \n", + "70 11.28 0.57 0.44 7.79 1.51 \n", + "71 11.45 0.45 0.29 6.45 0.00 \n", + "72 9.72 0.35 0.27 4.72 0.00 \n", + "73 15.24 0.83 0.81 13.70 3.54 \n", + "74 16.20 0.76 0.54 13.70 2.58 \n", + "75 23.15 0.72 0.30 18.10 0.03 \n", + "76 17.68 0.63 0.28 12.60 0.00 \n", + "77 19.23 0.89 0.90 18.10 3.92 \n", + "78 18.11 0.81 0.59 15.90 2.88 \n", + "79 29.57 0.77 0.31 24.60 0.05 \n", + "80 23.51 0.71 0.28 18.50 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe\n", + "\n", + "## export\n", + "write.table(result.table_toe, '../results_summary/sim_toe_lasso.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Removed 10 rows containing missing values (geom_point).”" + ] + }, + { + "data": { + 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jX1ecqAHNpGssfhN7/5DY4//njLI/Tw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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_toe$N = as.factor(result.table_toe$N)\n", + "fig_toe_stab = ggplot(result.table_toe, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_toe_mse = ggplot(result.table_toe, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_toe_fp = ggplot(result.table_toe, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") + \n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_toe_fn = ggplot(result.table_toe, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_toe_stab, fig_toe_mse, fig_toe_fp, fig_toe_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Toeplitz_Lasso\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_toe_lasso.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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    NPCorrRatioStabMSEFPFNnum_selectMSE_meanFP_meanFN_mean
    1 50 50 0.1 1.0 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 ) 13.57 0.62 8.59 0.02
    17 50 50 0.3 1.0 0.35 0.57 ( 0.03 ) 8.86 ( 0.42 ) 0.05 ( 0.02 ) 13.81 0.57 8.86 0.05
    33 50 50 0.5 1.0 0.35 0.63 ( 0.04 ) 8.51 ( 0.41 ) 0.17 ( 0.04 ) 13.34 0.63 8.51 0.17
    49 50 50 0.7 1.0 0.30 0.66 ( 0.04 ) 9.27 ( 0.39 ) 0.47 ( 0.06 ) 13.80 0.66 9.27 0.47
    65 50 50 0.9 1.0 0.31 0.55 ( 0.03 ) 5.65 ( 0.29 ) 2.17 ( 0.13 ) 8.48 0.55 5.65 2.17
    5 50 100 0.1 2.0 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) 16.84 0.67 11.80 0.00
    21 50 100 0.3 2.0 0.31 0.76 ( 0.04 ) 11.12 ( 0.37 )0.17 ( 0.04 ) 15.95 0.76 11.10 0.17
    37 50 100 0.5 2.0 0.24 0.8 ( 0.05 ) 13.21 ( 0.46 )0.6 ( 0.07 ) 17.61 0.80 13.20 0.60
    53 50 100 0.7 2.0 0.23 0.8 ( 0.04 ) 11.57 ( 0.53 )1.26 ( 0.1 ) 15.31 0.80 11.50 1.26
    69 50 100 0.9 2.0 0.26 0.6 ( 0.03 ) 7.26 ( 0.35 ) 2.69 ( 0.1 ) 9.57 0.60 7.26 2.69
    9 50 500 0.1 10.0 0.18 1.61 ( 0.1 ) 20.85 ( 0.38 )0.69 ( 0.08 ) 25.16 1.61 20.80 0.69
    25 50 500 0.3 10.0 0.14 1.78 ( 0.11 ) 21.4 ( 0.41 ) 1.39 ( 0.1 ) 25.01 1.78 21.40 1.39
    41 50 500 0.5 10.0 0.12 1.73 ( 0.1 ) 21.69 ( 0.32 )1.93 ( 0.09 ) 24.76 1.73 21.60 1.93
    57 50 500 0.7 10.0 0.12 1.37 ( 0.08 ) 19.8 ( 0.33 ) 2.78 ( 0.08 ) 22.02 1.37 19.80 2.78
    73 50 500 0.9 10.0 0.13 0.81 ( 0.04 ) 13.78 ( 0.36 )3.54 ( 0.08 ) 15.24 0.81 13.70 3.54
    13 50 1000 0.1 20.0 0.13 2.23 ( 0.14 ) 24.37 ( 0.39 )1.36 ( 0.1 ) 28.01 2.23 24.30 1.36
    29 50 1000 0.3 20.0 0.11 2.21 ( 0.15 ) 25.14 ( 0.35 )1.87 ( 0.1 ) 28.27 2.21 25.10 1.87
    45 50 1000 0.5 20.0 0.09 2.17 ( 0.13 ) 25.13 ( 0.34 )2.69 ( 0.1 ) 27.44 2.17 25.10 2.69
    61 50 1000 0.7 20.0 0.09 1.5 ( 0.08 ) 22.99 ( 0.35 )3.2 ( 0.09 ) 24.79 1.50 22.90 3.20
    77 50 1000 0.9 20.0 0.08 0.9 ( 0.05 ) 18.15 ( 0.34 )3.92 ( 0.08 ) 19.23 0.90 18.10 3.92
    2100 50 0.1 0.5 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) 11.30 0.37 6.30 0.00
    18100 50 0.3 0.5 0.47 0.36 ( 0.01 ) 6.18 ( 0.36 ) 0 ( 0 ) 11.18 0.36 6.18 0.00
    34100 50 0.5 0.5 0.42 0.37 ( 0.01 ) 7.21 ( 0.33 ) 0.01 ( 0.01 ) 12.20 0.37 7.21 0.01
    50100 50 0.7 0.5 0.39 0.37 ( 0.01 ) 7.9 ( 0.35 ) 0.05 ( 0.03 ) 12.85 0.37 7.90 0.05
    66100 50 0.9 0.5 0.38 0.38 ( 0.02 ) 5.85 ( 0.3 ) 1.03 ( 0.11 ) 9.82 0.38 5.85 1.03
    6100 100 0.1 1.0 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) 12.71 0.40 7.71 0.00
    22100 100 0.3 1.0 0.38 0.41 ( 0.01 ) 9.43 ( 0.53 ) 0 ( 0 ) 14.43 0.41 9.43 0.00
    38100 100 0.5 1.0 0.36 0.44 ( 0.02 ) 10 ( 0.48 ) 0.02 ( 0.01 ) 14.98 0.44 10.00 0.02
    54100 100 0.7 1.0 0.31 0.39 ( 0.01 ) 11.68 ( 0.51 )0.1 ( 0.04 ) 16.58 0.39 11.60 0.10
    70100 100 0.9 1.0 0.31 0.44 ( 0.01 ) 7.79 ( 0.39 ) 1.51 ( 0.11 ) 11.28 0.44 7.79 1.51
    .......................................
    11 500 500 0.1 1.00 0.55 0.28 ( 0 ) 5.86 ( 0.51 ) 0 ( 0 ) 10.86 0.28 5.86 0.00
    27 500 500 0.3 1.00 0.55 0.29 ( 0 ) 5.89 ( 0.51 ) 0 ( 0 ) 10.89 0.29 5.89 0.00
    43 500 500 0.5 1.00 0.40 0.29 ( 0 ) 9.79 ( 0.55 ) 0 ( 0 ) 14.79 0.29 9.79 0.00
    59 500 500 0.7 1.00 0.36 0.3 ( 0 ) 11.31 ( 0.6 ) 0 ( 0 ) 16.31 0.30 11.30 0.00
    75 500 500 0.9 1.00 0.25 0.3 ( 0 ) 18.18 ( 0.69 )0.03 ( 0.02 ) 23.15 0.30 18.10 0.03
    15 500 1000 0.1 2.00 0.49 0.28 ( 0 ) 7.08 ( 0.53 ) 0 ( 0 ) 12.08 0.28 7.08 0.00
    31 500 1000 0.3 2.00 0.47 0.28 ( 0 ) 7.69 ( 0.63 ) 0 ( 0 ) 12.69 0.28 7.69 0.00
    47 500 1000 0.5 2.00 0.39 0.3 ( 0 ) 10.46 ( 0.63 )0 ( 0 ) 15.46 0.30 10.40 0.00
    63 500 1000 0.7 2.00 0.30 0.31 ( 0 ) 14.7 ( 0.84 ) 0 ( 0 ) 19.70 0.31 14.70 0.00
    79 500 1000 0.9 2.00 0.20 0.31 ( 0 ) 24.62 ( 1.01 )0.05 ( 0.02 ) 29.57 0.31 24.60 0.05
    41000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) 6.66 0.27 1.66 0.00
    201000 50 0.3 0.05 0.86 0.27 ( 0 ) 1.86 ( 0.11 ) 0 ( 0 ) 6.86 0.27 1.86 0.00
    361000 50 0.5 0.05 0.78 0.27 ( 0 ) 2.46 ( 0.15 ) 0 ( 0 ) 7.46 0.27 2.46 0.00
    521000 50 0.7 0.05 0.74 0.27 ( 0 ) 2.84 ( 0.14 ) 0 ( 0 ) 7.84 0.27 2.84 0.00
    681000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) 7.71 0.27 2.71 0.00
    81000 100 0.1 0.10 0.81 0.27 ( 0 ) 2.29 ( 0.23 ) 0 ( 0 ) 7.29 0.27 2.29 0.00
    241000 100 0.3 0.10 0.80 0.27 ( 0 ) 2.36 ( 0.17 ) 0 ( 0 ) 7.36 0.27 2.36 0.00
    401000 100 0.5 0.10 0.71 0.27 ( 0 ) 3.24 ( 0.22 ) 0 ( 0 ) 8.24 0.27 3.24 0.00
    561000 100 0.7 0.10 0.63 0.27 ( 0 ) 4.24 ( 0.26 ) 0 ( 0 ) 9.24 0.27 4.24 0.00
    721000 100 0.9 0.10 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) 9.72 0.27 4.72 0.00
    121000 500 0.1 0.50 0.78 0.28 ( 0 ) 2.69 ( 0.21 ) 0 ( 0 ) 7.69 0.28 2.69 0.00
    281000 500 0.3 0.50 0.69 0.27 ( 0 ) 3.68 ( 0.32 ) 0 ( 0 ) 8.68 0.27 3.68 0.00
    441000 500 0.5 0.50 0.51 0.28 ( 0 ) 6.66 ( 0.64 ) 0 ( 0 ) 11.66 0.28 6.66 0.00
    601000 500 0.7 0.50 0.46 0.27 ( 0 ) 7.93 ( 0.49 ) 0 ( 0 ) 12.93 0.27 7.93 0.00
    761000 500 0.9 0.50 0.33 0.28 ( 0 ) 12.68 ( 0.57 )0 ( 0 ) 17.68 0.28 12.60 0.00
    161000 1000 0.1 1.00 0.70 0.27 ( 0 ) 3.59 ( 0.33 ) 0 ( 0 ) 8.59 0.27 3.59 0.00
    321000 1000 0.3 1.00 0.58 0.27 ( 0 ) 5.27 ( 0.46 ) 0 ( 0 ) 10.27 0.27 5.27 0.00
    481000 1000 0.5 1.00 0.48 0.28 ( 0 ) 7.42 ( 0.6 ) 0 ( 0 ) 12.42 0.28 7.42 0.00
    641000 1000 0.7 1.00 0.41 0.28 ( 0 ) 9.63 ( 0.54 ) 0 ( 0 ) 14.63 0.28 9.63 0.00
    801000 1000 0.9 1.00 0.25 0.28 ( 0 ) 18.51 ( 0.86 )0 ( 0 ) 23.51 0.28 18.50 0.00
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & MSE\\_mean & FP\\_mean & FN\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.36 & 0.62 ( 0.04 ) & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 13.57 & 0.62 & 8.59 & 0.02 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.35 & 0.57 ( 0.03 ) & 8.86 ( 0.42 ) & 0.05 ( 0.02 ) & 13.81 & 0.57 & 8.86 & 0.05 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.35 & 0.63 ( 0.04 ) & 8.51 ( 0.41 ) & 0.17 ( 0.04 ) & 13.34 & 0.63 & 8.51 & 0.17 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.30 & 0.66 ( 0.04 ) & 9.27 ( 0.39 ) & 0.47 ( 0.06 ) & 13.80 & 0.66 & 9.27 & 0.47 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.31 & 0.55 ( 0.03 ) & 5.65 ( 0.29 ) & 2.17 ( 0.13 ) & 8.48 & 0.55 & 5.65 & 2.17 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.32 & 0.67 ( 0.05 ) & 11.84 ( 0.4 ) & 0 ( 0 ) & 16.84 & 0.67 & 11.80 & 0.00 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.31 & 0.76 ( 0.04 ) & 11.12 ( 0.37 ) & 0.17 ( 0.04 ) & 15.95 & 0.76 & 11.10 & 0.17 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.24 & 0.8 ( 0.05 ) & 13.21 ( 0.46 ) & 0.6 ( 0.07 ) & 17.61 & 0.80 & 13.20 & 0.60 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.23 & 0.8 ( 0.04 ) & 11.57 ( 0.53 ) & 1.26 ( 0.1 ) & 15.31 & 0.80 & 11.50 & 1.26 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.26 & 0.6 ( 0.03 ) & 7.26 ( 0.35 ) & 2.69 ( 0.1 ) & 9.57 & 0.60 & 7.26 & 2.69 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.18 & 1.61 ( 0.1 ) & 20.85 ( 0.38 ) & 0.69 ( 0.08 ) & 25.16 & 1.61 & 20.80 & 0.69 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.14 & 1.78 ( 0.11 ) & 21.4 ( 0.41 ) & 1.39 ( 0.1 ) & 25.01 & 1.78 & 21.40 & 1.39 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.12 & 1.73 ( 0.1 ) & 21.69 ( 0.32 ) & 1.93 ( 0.09 ) & 24.76 & 1.73 & 21.60 & 1.93 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.12 & 1.37 ( 0.08 ) & 19.8 ( 0.33 ) & 2.78 ( 0.08 ) & 22.02 & 1.37 & 19.80 & 2.78 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.13 & 0.81 ( 0.04 ) & 13.78 ( 0.36 ) & 3.54 ( 0.08 ) & 15.24 & 0.81 & 13.70 & 3.54 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.13 & 2.23 ( 0.14 ) & 24.37 ( 0.39 ) & 1.36 ( 0.1 ) & 28.01 & 2.23 & 24.30 & 1.36 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.11 & 2.21 ( 0.15 ) & 25.14 ( 0.35 ) & 1.87 ( 0.1 ) & 28.27 & 2.21 & 25.10 & 1.87 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.09 & 2.17 ( 0.13 ) & 25.13 ( 0.34 ) & 2.69 ( 0.1 ) & 27.44 & 2.17 & 25.10 & 2.69 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.09 & 1.5 ( 0.08 ) & 22.99 ( 0.35 ) & 3.2 ( 0.09 ) & 24.79 & 1.50 & 22.90 & 3.20 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.08 & 0.9 ( 0.05 ) & 18.15 ( 0.34 ) & 3.92 ( 0.08 ) & 19.23 & 0.90 & 18.10 & 3.92 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.47 & 0.37 ( 0.01 ) & 6.3 ( 0.43 ) & 0 ( 0 ) & 11.30 & 0.37 & 6.30 & 0.00 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.47 & 0.36 ( 0.01 ) & 6.18 ( 0.36 ) & 0 ( 0 ) & 11.18 & 0.36 & 6.18 & 0.00 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.42 & 0.37 ( 0.01 ) & 7.21 ( 0.33 ) & 0.01 ( 0.01 ) & 12.20 & 0.37 & 7.21 & 0.01 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.39 & 0.37 ( 0.01 ) & 7.9 ( 0.35 ) & 0.05 ( 0.03 ) & 12.85 & 0.37 & 7.90 & 0.05 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.38 & 0.38 ( 0.02 ) & 5.85 ( 0.3 ) & 1.03 ( 0.11 ) & 9.82 & 0.38 & 5.85 & 1.03 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.44 & 0.4 ( 0.01 ) & 7.71 ( 0.56 ) & 0 ( 0 ) & 12.71 & 0.40 & 7.71 & 0.00 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.38 & 0.41 ( 0.01 ) & 9.43 ( 0.53 ) & 0 ( 0 ) & 14.43 & 0.41 & 9.43 & 0.00 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.36 & 0.44 ( 0.02 ) & 10 ( 0.48 ) & 0.02 ( 0.01 ) & 14.98 & 0.44 & 10.00 & 0.02 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.31 & 0.39 ( 0.01 ) & 11.68 ( 0.51 ) & 0.1 ( 0.04 ) & 16.58 & 0.39 & 11.60 & 0.10 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.31 & 0.44 ( 0.01 ) & 7.79 ( 0.39 ) & 1.51 ( 0.11 ) & 11.28 & 0.44 & 7.79 & 1.51 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.55 & 0.28 ( 0 ) & 5.86 ( 0.51 ) & 0 ( 0 ) & 10.86 & 0.28 & 5.86 & 0.00 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.55 & 0.29 ( 0 ) & 5.89 ( 0.51 ) & 0 ( 0 ) & 10.89 & 0.29 & 5.89 & 0.00 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.40 & 0.29 ( 0 ) & 9.79 ( 0.55 ) & 0 ( 0 ) & 14.79 & 0.29 & 9.79 & 0.00 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.36 & 0.3 ( 0 ) & 11.31 ( 0.6 ) & 0 ( 0 ) & 16.31 & 0.30 & 11.30 & 0.00 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.25 & 0.3 ( 0 ) & 18.18 ( 0.69 ) & 0.03 ( 0.02 ) & 23.15 & 0.30 & 18.10 & 0.03 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.49 & 0.28 ( 0 ) & 7.08 ( 0.53 ) & 0 ( 0 ) & 12.08 & 0.28 & 7.08 & 0.00 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.47 & 0.28 ( 0 ) & 7.69 ( 0.63 ) & 0 ( 0 ) & 12.69 & 0.28 & 7.69 & 0.00 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.39 & 0.3 ( 0 ) & 10.46 ( 0.63 ) & 0 ( 0 ) & 15.46 & 0.30 & 10.40 & 0.00 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.30 & 0.31 ( 0 ) & 14.7 ( 0.84 ) & 0 ( 0 ) & 19.70 & 0.31 & 14.70 & 0.00 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.20 & 0.31 ( 0 ) & 24.62 ( 1.01 ) & 0.05 ( 0.02 ) & 29.57 & 0.31 & 24.60 & 0.05 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.89 & 0.27 ( 0 ) & 1.66 ( 0.11 ) & 0 ( 0 ) & 6.66 & 0.27 & 1.66 & 0.00 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.86 & 0.27 ( 0 ) & 1.86 ( 0.11 ) & 0 ( 0 ) & 6.86 & 0.27 & 1.86 & 0.00 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.78 & 0.27 ( 0 ) & 2.46 ( 0.15 ) & 0 ( 0 ) & 7.46 & 0.27 & 2.46 & 0.00 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.74 & 0.27 ( 0 ) & 2.84 ( 0.14 ) & 0 ( 0 ) & 7.84 & 0.27 & 2.84 & 0.00 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.76 & 0.27 ( 0 ) & 2.71 ( 0.12 ) & 0 ( 0 ) & 7.71 & 0.27 & 2.71 & 0.00 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.81 & 0.27 ( 0 ) & 2.29 ( 0.23 ) & 0 ( 0 ) & 7.29 & 0.27 & 2.29 & 0.00 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.80 & 0.27 ( 0 ) & 2.36 ( 0.17 ) & 0 ( 0 ) & 7.36 & 0.27 & 2.36 & 0.00 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.71 & 0.27 ( 0 ) & 3.24 ( 0.22 ) & 0 ( 0 ) & 8.24 & 0.27 & 3.24 & 0.00 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.63 & 0.27 ( 0 ) & 4.24 ( 0.26 ) & 0 ( 0 ) & 9.24 & 0.27 & 4.24 & 0.00 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.61 & 0.27 ( 0 ) & 4.72 ( 0.21 ) & 0 ( 0 ) & 9.72 & 0.27 & 4.72 & 0.00 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.78 & 0.28 ( 0 ) & 2.69 ( 0.21 ) & 0 ( 0 ) & 7.69 & 0.28 & 2.69 & 0.00 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.69 & 0.27 ( 0 ) & 3.68 ( 0.32 ) & 0 ( 0 ) & 8.68 & 0.27 & 3.68 & 0.00 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.51 & 0.28 ( 0 ) & 6.66 ( 0.64 ) & 0 ( 0 ) & 11.66 & 0.28 & 6.66 & 0.00 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.46 & 0.27 ( 0 ) & 7.93 ( 0.49 ) & 0 ( 0 ) & 12.93 & 0.27 & 7.93 & 0.00 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.33 & 0.28 ( 0 ) & 12.68 ( 0.57 ) & 0 ( 0 ) & 17.68 & 0.28 & 12.60 & 0.00 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.70 & 0.27 ( 0 ) & 3.59 ( 0.33 ) & 0 ( 0 ) & 8.59 & 0.27 & 3.59 & 0.00 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.58 & 0.27 ( 0 ) & 5.27 ( 0.46 ) & 0 ( 0 ) & 10.27 & 0.27 & 5.27 & 0.00 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.48 & 0.28 ( 0 ) & 7.42 ( 0.6 ) & 0 ( 0 ) & 12.42 & 0.28 & 7.42 & 0.00 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.41 & 0.28 ( 0 ) & 9.63 ( 0.54 ) & 0 ( 0 ) & 14.63 & 0.28 & 9.63 & 0.00 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.25 & 0.28 ( 0 ) & 18.51 ( 0.86 ) & 0 ( 0 ) & 23.51 & 0.28 & 18.50 & 0.00 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | MSE_mean | FP_mean | FN_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.36 | 0.62 ( 0.04 ) | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 13.57 | 0.62 | 8.59 | 0.02 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.35 | 0.57 ( 0.03 ) | 8.86 ( 0.42 ) | 0.05 ( 0.02 ) | 13.81 | 0.57 | 8.86 | 0.05 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.35 | 0.63 ( 0.04 ) | 8.51 ( 0.41 ) | 0.17 ( 0.04 ) | 13.34 | 0.63 | 8.51 | 0.17 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.30 | 0.66 ( 0.04 ) | 9.27 ( 0.39 ) | 0.47 ( 0.06 ) | 13.80 | 0.66 | 9.27 | 0.47 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.31 | 0.55 ( 0.03 ) | 5.65 ( 0.29 ) | 2.17 ( 0.13 ) | 8.48 | 0.55 | 5.65 | 2.17 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.32 | 0.67 ( 0.05 ) | 11.84 ( 0.4 ) | 0 ( 0 ) | 16.84 | 0.67 | 11.80 | 0.00 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.31 | 0.76 ( 0.04 ) | 11.12 ( 0.37 ) | 0.17 ( 0.04 ) | 15.95 | 0.76 | 11.10 | 0.17 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.24 | 0.8 ( 0.05 ) | 13.21 ( 0.46 ) | 0.6 ( 0.07 ) | 17.61 | 0.80 | 13.20 | 0.60 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.23 | 0.8 ( 0.04 ) | 11.57 ( 0.53 ) | 1.26 ( 0.1 ) | 15.31 | 0.80 | 11.50 | 1.26 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.26 | 0.6 ( 0.03 ) | 7.26 ( 0.35 ) | 2.69 ( 0.1 ) | 9.57 | 0.60 | 7.26 | 2.69 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.18 | 1.61 ( 0.1 ) | 20.85 ( 0.38 ) | 0.69 ( 0.08 ) | 25.16 | 1.61 | 20.80 | 0.69 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.14 | 1.78 ( 0.11 ) | 21.4 ( 0.41 ) | 1.39 ( 0.1 ) | 25.01 | 1.78 | 21.40 | 1.39 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.12 | 1.73 ( 0.1 ) | 21.69 ( 0.32 ) | 1.93 ( 0.09 ) | 24.76 | 1.73 | 21.60 | 1.93 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.12 | 1.37 ( 0.08 ) | 19.8 ( 0.33 ) | 2.78 ( 0.08 ) | 22.02 | 1.37 | 19.80 | 2.78 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.13 | 0.81 ( 0.04 ) | 13.78 ( 0.36 ) | 3.54 ( 0.08 ) | 15.24 | 0.81 | 13.70 | 3.54 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.13 | 2.23 ( 0.14 ) | 24.37 ( 0.39 ) | 1.36 ( 0.1 ) | 28.01 | 2.23 | 24.30 | 1.36 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.11 | 2.21 ( 0.15 ) | 25.14 ( 0.35 ) | 1.87 ( 0.1 ) | 28.27 | 2.21 | 25.10 | 1.87 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.09 | 2.17 ( 0.13 ) | 25.13 ( 0.34 ) | 2.69 ( 0.1 ) | 27.44 | 2.17 | 25.10 | 2.69 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.09 | 1.5 ( 0.08 ) | 22.99 ( 0.35 ) | 3.2 ( 0.09 ) | 24.79 | 1.50 | 22.90 | 3.20 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.08 | 0.9 ( 0.05 ) | 18.15 ( 0.34 ) | 3.92 ( 0.08 ) | 19.23 | 0.90 | 18.10 | 3.92 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.47 | 0.37 ( 0.01 ) | 6.3 ( 0.43 ) | 0 ( 0 ) | 11.30 | 0.37 | 6.30 | 0.00 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.47 | 0.36 ( 0.01 ) | 6.18 ( 0.36 ) | 0 ( 0 ) | 11.18 | 0.36 | 6.18 | 0.00 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.42 | 0.37 ( 0.01 ) | 7.21 ( 0.33 ) | 0.01 ( 0.01 ) | 12.20 | 0.37 | 7.21 | 0.01 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.39 | 0.37 ( 0.01 ) | 7.9 ( 0.35 ) | 0.05 ( 0.03 ) | 12.85 | 0.37 | 7.90 | 0.05 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.38 | 0.38 ( 0.02 ) | 5.85 ( 0.3 ) | 1.03 ( 0.11 ) | 9.82 | 0.38 | 5.85 | 1.03 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.44 | 0.4 ( 0.01 ) | 7.71 ( 0.56 ) | 0 ( 0 ) | 12.71 | 0.40 | 7.71 | 0.00 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.38 | 0.41 ( 0.01 ) | 9.43 ( 0.53 ) | 0 ( 0 ) | 14.43 | 0.41 | 9.43 | 0.00 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.36 | 0.44 ( 0.02 ) | 10 ( 0.48 ) | 0.02 ( 0.01 ) | 14.98 | 0.44 | 10.00 | 0.02 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.31 | 0.39 ( 0.01 ) | 11.68 ( 0.51 ) | 0.1 ( 0.04 ) | 16.58 | 0.39 | 11.60 | 0.10 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.31 | 0.44 ( 0.01 ) | 7.79 ( 0.39 ) | 1.51 ( 0.11 ) | 11.28 | 0.44 | 7.79 | 1.51 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.55 | 0.28 ( 0 ) | 5.86 ( 0.51 ) | 0 ( 0 ) | 10.86 | 0.28 | 5.86 | 0.00 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.55 | 0.29 ( 0 ) | 5.89 ( 0.51 ) | 0 ( 0 ) | 10.89 | 0.29 | 5.89 | 0.00 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.40 | 0.29 ( 0 ) | 9.79 ( 0.55 ) | 0 ( 0 ) | 14.79 | 0.29 | 9.79 | 0.00 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.36 | 0.3 ( 0 ) | 11.31 ( 0.6 ) | 0 ( 0 ) | 16.31 | 0.30 | 11.30 | 0.00 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.25 | 0.3 ( 0 ) | 18.18 ( 0.69 ) | 0.03 ( 0.02 ) | 23.15 | 0.30 | 18.10 | 0.03 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.49 | 0.28 ( 0 ) | 7.08 ( 0.53 ) | 0 ( 0 ) | 12.08 | 0.28 | 7.08 | 0.00 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.47 | 0.28 ( 0 ) | 7.69 ( 0.63 ) | 0 ( 0 ) | 12.69 | 0.28 | 7.69 | 0.00 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.39 | 0.3 ( 0 ) | 10.46 ( 0.63 ) | 0 ( 0 ) | 15.46 | 0.30 | 10.40 | 0.00 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.30 | 0.31 ( 0 ) | 14.7 ( 0.84 ) | 0 ( 0 ) | 19.70 | 0.31 | 14.70 | 0.00 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.20 | 0.31 ( 0 ) | 24.62 ( 1.01 ) | 0.05 ( 0.02 ) | 29.57 | 0.31 | 24.60 | 0.05 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.89 | 0.27 ( 0 ) | 1.66 ( 0.11 ) | 0 ( 0 ) | 6.66 | 0.27 | 1.66 | 0.00 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.86 | 0.27 ( 0 ) | 1.86 ( 0.11 ) | 0 ( 0 ) | 6.86 | 0.27 | 1.86 | 0.00 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.78 | 0.27 ( 0 ) | 2.46 ( 0.15 ) | 0 ( 0 ) | 7.46 | 0.27 | 2.46 | 0.00 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.74 | 0.27 ( 0 ) | 2.84 ( 0.14 ) | 0 ( 0 ) | 7.84 | 0.27 | 2.84 | 0.00 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.76 | 0.27 ( 0 ) | 2.71 ( 0.12 ) | 0 ( 0 ) | 7.71 | 0.27 | 2.71 | 0.00 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.81 | 0.27 ( 0 ) | 2.29 ( 0.23 ) | 0 ( 0 ) | 7.29 | 0.27 | 2.29 | 0.00 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.80 | 0.27 ( 0 ) | 2.36 ( 0.17 ) | 0 ( 0 ) | 7.36 | 0.27 | 2.36 | 0.00 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.71 | 0.27 ( 0 ) | 3.24 ( 0.22 ) | 0 ( 0 ) | 8.24 | 0.27 | 3.24 | 0.00 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.63 | 0.27 ( 0 ) | 4.24 ( 0.26 ) | 0 ( 0 ) | 9.24 | 0.27 | 4.24 | 0.00 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.61 | 0.27 ( 0 ) | 4.72 ( 0.21 ) | 0 ( 0 ) | 9.72 | 0.27 | 4.72 | 0.00 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.78 | 0.28 ( 0 ) | 2.69 ( 0.21 ) | 0 ( 0 ) | 7.69 | 0.28 | 2.69 | 0.00 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.69 | 0.27 ( 0 ) | 3.68 ( 0.32 ) | 0 ( 0 ) | 8.68 | 0.27 | 3.68 | 0.00 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.51 | 0.28 ( 0 ) | 6.66 ( 0.64 ) | 0 ( 0 ) | 11.66 | 0.28 | 6.66 | 0.00 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.46 | 0.27 ( 0 ) | 7.93 ( 0.49 ) | 0 ( 0 ) | 12.93 | 0.27 | 7.93 | 0.00 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.33 | 0.28 ( 0 ) | 12.68 ( 0.57 ) | 0 ( 0 ) | 17.68 | 0.28 | 12.60 | 0.00 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.70 | 0.27 ( 0 ) | 3.59 ( 0.33 ) | 0 ( 0 ) | 8.59 | 0.27 | 3.59 | 0.00 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.58 | 0.27 ( 0 ) | 5.27 ( 0.46 ) | 0 ( 0 ) | 10.27 | 0.27 | 5.27 | 0.00 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.48 | 0.28 ( 0 ) | 7.42 ( 0.6 ) | 0 ( 0 ) | 12.42 | 0.28 | 7.42 | 0.00 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.41 | 0.28 ( 0 ) | 9.63 ( 0.54 ) | 0 ( 0 ) | 14.63 | 0.28 | 9.63 | 0.00 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.25 | 0.28 ( 0 ) | 18.51 ( 0.86 ) | 0 ( 0 ) | 23.51 | 0.28 | 18.50 | 0.00 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 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10.0 0.13 0.81 ( 0.04 ) 13.78 ( 0.36 ) 3.54 ( 0.08 )\n", + "13 50 1000 0.1 20.0 0.13 2.23 ( 0.14 ) 24.37 ( 0.39 ) 1.36 ( 0.1 ) \n", + "29 50 1000 0.3 20.0 0.11 2.21 ( 0.15 ) 25.14 ( 0.35 ) 1.87 ( 0.1 ) \n", + "45 50 1000 0.5 20.0 0.09 2.17 ( 0.13 ) 25.13 ( 0.34 ) 2.69 ( 0.1 ) \n", + "61 50 1000 0.7 20.0 0.09 1.5 ( 0.08 ) 22.99 ( 0.35 ) 3.2 ( 0.09 ) \n", + "77 50 1000 0.9 20.0 0.08 0.9 ( 0.05 ) 18.15 ( 0.34 ) 3.92 ( 0.08 )\n", + "2 100 50 0.1 0.5 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) \n", + "18 100 50 0.3 0.5 0.47 0.36 ( 0.01 ) 6.18 ( 0.36 ) 0 ( 0 ) \n", + "34 100 50 0.5 0.5 0.42 0.37 ( 0.01 ) 7.21 ( 0.33 ) 0.01 ( 0.01 )\n", + "50 100 50 0.7 0.5 0.39 0.37 ( 0.01 ) 7.9 ( 0.35 ) 0.05 ( 0.03 )\n", + "66 100 50 0.9 0.5 0.38 0.38 ( 0.02 ) 5.85 ( 0.3 ) 1.03 ( 0.11 )\n", + "6 100 100 0.1 1.0 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) \n", + "22 100 100 0.3 1.0 0.38 0.41 ( 0.01 ) 9.43 ( 0.53 ) 0 ( 0 ) \n", + "38 100 100 0.5 1.0 0.36 0.44 ( 0.02 ) 10 ( 0.48 ) 0.02 ( 0.01 )\n", + "54 100 100 0.7 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0.05 0.78 0.27 ( 0 ) 2.46 ( 0.15 ) 0 ( 0 ) \n", + "52 1000 50 0.7 0.05 0.74 0.27 ( 0 ) 2.84 ( 0.14 ) 0 ( 0 ) \n", + "68 1000 50 0.9 0.05 0.76 0.27 ( 0 ) 2.71 ( 0.12 ) 0 ( 0 ) \n", + "8 1000 100 0.1 0.10 0.81 0.27 ( 0 ) 2.29 ( 0.23 ) 0 ( 0 ) \n", + "24 1000 100 0.3 0.10 0.80 0.27 ( 0 ) 2.36 ( 0.17 ) 0 ( 0 ) \n", + "40 1000 100 0.5 0.10 0.71 0.27 ( 0 ) 3.24 ( 0.22 ) 0 ( 0 ) \n", + "56 1000 100 0.7 0.10 0.63 0.27 ( 0 ) 4.24 ( 0.26 ) 0 ( 0 ) \n", + "72 1000 100 0.9 0.10 0.61 0.27 ( 0 ) 4.72 ( 0.21 ) 0 ( 0 ) \n", + "12 1000 500 0.1 0.50 0.78 0.28 ( 0 ) 2.69 ( 0.21 ) 0 ( 0 ) \n", + "28 1000 500 0.3 0.50 0.69 0.27 ( 0 ) 3.68 ( 0.32 ) 0 ( 0 ) \n", + "44 1000 500 0.5 0.50 0.51 0.28 ( 0 ) 6.66 ( 0.64 ) 0 ( 0 ) \n", + "60 1000 500 0.7 0.50 0.46 0.27 ( 0 ) 7.93 ( 0.49 ) 0 ( 0 ) \n", + "76 1000 500 0.9 0.50 0.33 0.28 ( 0 ) 12.68 ( 0.57 ) 0 ( 0 ) \n", + "16 1000 1000 0.1 1.00 0.70 0.27 ( 0 ) 3.59 ( 0.33 ) 0 ( 0 ) \n", + "32 1000 1000 0.3 1.00 0.58 0.27 ( 0 ) 5.27 ( 0.46 ) 0 ( 0 ) \n", + "48 1000 1000 0.5 1.00 0.48 0.28 ( 0 ) 7.42 ( 0.6 ) 0 ( 0 ) \n", + "64 1000 1000 0.7 1.00 0.41 0.28 ( 0 ) 9.63 ( 0.54 ) 0 ( 0 ) \n", + "80 1000 1000 0.9 1.00 0.25 0.28 ( 0 ) 18.51 ( 0.86 ) 0 ( 0 ) \n", + " num_select MSE_mean FP_mean FN_mean\n", + "1 13.57 0.62 8.59 0.02 \n", + "17 13.81 0.57 8.86 0.05 \n", + "33 13.34 0.63 8.51 0.17 \n", + "49 13.80 0.66 9.27 0.47 \n", + "65 8.48 0.55 5.65 2.17 \n", + "5 16.84 0.67 11.80 0.00 \n", + "21 15.95 0.76 11.10 0.17 \n", + "37 17.61 0.80 13.20 0.60 \n", + "53 15.31 0.80 11.50 1.26 \n", + "69 9.57 0.60 7.26 2.69 \n", + "9 25.16 1.61 20.80 0.69 \n", + "25 25.01 1.78 21.40 1.39 \n", + "41 24.76 1.73 21.60 1.93 \n", + "57 22.02 1.37 19.80 2.78 \n", + "73 15.24 0.81 13.70 3.54 \n", + "13 28.01 2.23 24.30 1.36 \n", + "29 28.27 2.21 25.10 1.87 \n", + "45 27.44 2.17 25.10 2.69 \n", + "61 24.79 1.50 22.90 3.20 \n", + "77 19.23 0.90 18.10 3.92 \n", + "2 11.30 0.37 6.30 0.00 \n", + "18 11.18 0.36 6.18 0.00 \n", + "34 12.20 0.37 7.21 0.01 \n", + "50 12.85 0.37 7.90 0.05 \n", + "66 9.82 0.38 5.85 1.03 \n", + "6 12.71 0.40 7.71 0.00 \n", + "22 14.43 0.41 9.43 0.00 \n", + "38 14.98 0.44 10.00 0.02 \n", + "54 16.58 0.39 11.60 0.10 \n", + "70 11.28 0.44 7.79 1.51 \n", + "... ... ... ... ... \n", + "11 10.86 0.28 5.86 0.00 \n", + "27 10.89 0.29 5.89 0.00 \n", + "43 14.79 0.29 9.79 0.00 \n", + "59 16.31 0.30 11.30 0.00 \n", + "75 23.15 0.30 18.10 0.03 \n", + "15 12.08 0.28 7.08 0.00 \n", + "31 12.69 0.28 7.69 0.00 \n", + "47 15.46 0.30 10.40 0.00 \n", + "63 19.70 0.31 14.70 0.00 \n", + "79 29.57 0.31 24.60 0.05 \n", + "4 6.66 0.27 1.66 0.00 \n", + "20 6.86 0.27 1.86 0.00 \n", + "36 7.46 0.27 2.46 0.00 \n", + "52 7.84 0.27 2.84 0.00 \n", + "68 7.71 0.27 2.71 0.00 \n", + "8 7.29 0.27 2.29 0.00 \n", + "24 7.36 0.27 2.36 0.00 \n", + "40 8.24 0.27 3.24 0.00 \n", + "56 9.24 0.27 4.24 0.00 \n", + "72 9.72 0.27 4.72 0.00 \n", + "12 7.69 0.28 2.69 0.00 \n", + "28 8.68 0.27 3.68 0.00 \n", + "44 11.66 0.28 6.66 0.00 \n", + "60 12.93 0.27 7.93 0.00 \n", + "76 17.68 0.28 12.60 0.00 \n", + "16 8.59 0.27 3.59 0.00 \n", + "32 10.27 0.27 5.27 0.00 \n", + "48 12.42 0.28 7.42 0.00 \n", + "64 14.63 0.28 9.63 0.00 \n", + "80 23.51 0.28 18.50 0.00 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[with(result.table_toe, order(N, P, Corr)),]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/notebooks_simulations/sim_toe_rf.ipynb b/simulations/notebooks_simulations/sim_toe_rf.ipynb new file mode 100644 index 0000000..361989e --- /dev/null +++ b/simulations/notebooks_simulations/sim_toe_rf.ipynb @@ -0,0 +1,1194 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "load('../sim_data/toe_RF.RData')" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "dir = '../sim_data'\n", + "dim.list = list()\n", + "size = c(50, 100, 500, 1000)\n", + "idx = 0\n", + "for (P in size){\n", + " for (N in size){\n", + " idx = idx + 1\n", + " dim.list[[idx]] = c(P=P, N=N)\n", + " }\n", + "}\n", + "\n", + "rou.list = seq(0.1, 0.9, 0.2)\n", + "\n", + "files = NULL\n", + "for (rou in rou.list){\n", + " for (dim in dim.list){\n", + " p = dim[1]\n", + " n = dim[2]\n", + " files = cbind(files, paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''))\n", + " }\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "avg_FDR = NULL\n", + "for (i in 1:length(files)){\n", + " sim_file = files[i]\n", + " load(sim_file, dat <- new.env())\n", + " sub = dat$sim_array[[i]]\n", + " p = sub$p # take true values from 1st replicate of each simulated data\n", + " coef = sub$beta\n", + " coef.true = which(coef != 0)\n", + " \n", + " tt = results_toe_rf[[i]]$Stab.table\n", + " \n", + " FDR = NULL\n", + " for (r in 1:nrow(tt)){\n", + " FDR = c(FDR, length(setdiff(which(tt[r, ] !=0), coef.true))/sum(tt[r, ]))\n", + "\n", + " }\n", + " \n", + " avg_FDR = c(avg_FDR, mean(FDR, na.rm=T))\n", + "}" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "table_toe = NULL\n", + "tmp_num_select = rep(0, length(results_toe_rf))\n", + "for (i in 1:length(results_toe_rf)){\n", + " results_toe_rf[[i]]$OOB = paste(round(mean(results_toe_rf[[i]]$OOB.list, na.rm=T),2),\n", + " '(', round(FSA::se(results_toe_rf[[i]]$OOB.list, na.rm=T),2), ')')\n", + " table_toe = rbind(table_toe, results_toe_rf[[i]][c('n', 'p', 'rou', 'FP', 'FN', 'MSE', 'Stab', 'OOB')])\n", + " tmp_num_select[i] = mean(rowSums(results_toe_rf[[i]]$Stab.table))\n", + "}\n", + "table_toe = as.data.frame(table_toe)\n", + "table_toe$num_select = tmp_num_select\n", + "table_toe$FDR = round(avg_FDR,2)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    nprouFPFNMSEStabOOBnum_selectFDR
    50 50 0.1 1 ( 0 ) 6 ( 0 ) 1.4 ( 0.06 ) NaN 1.98 ( 0.02 )0.00 NaN
    100 50 0.1 1.87 ( 0.14 )4.25 ( 0.09 )0.86 ( 0.03 )0.19 1.76 ( 0.01 )3.62 0.48
    500 50 0.1 0.32 ( 0.05 )1.81 ( 0.07 )0.44 ( 0.01 )0.77 1.29 ( 0 ) 4.51 0.06
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    50 100 0.1 1 ( 0 ) 6 ( 0 ) 1.36 ( 0.06 )NaN 2.19 ( 0.02 )0.00 NaN
    100 100 0.1 4.11 ( 0.18 )4.17 ( 0.1 ) 0.93 ( 0.03 )0.12 1.99 ( 0.01 )5.93 0.68
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllll}\n", + " n & p & rou & FP & FN & MSE & Stab & OOB & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1 ( 0 ) & 6 ( 0 ) & 1.4 ( 0.06 ) & NaN & 1.98 ( 0.02 ) & 0.00 & NaN \\\\\n", + "\t 100 & 50 & 0.1 & 1.87 ( 0.14 ) & 4.25 ( 0.09 ) & 0.86 ( 0.03 ) & 0.19 & 1.76 ( 0.01 ) & 3.62 & 0.48 \\\\\n", + "\t 500 & 50 & 0.1 & 0.32 ( 0.05 ) & 1.81 ( 0.07 ) & 0.44 ( 0.01 ) & 0.77 & 1.29 ( 0 ) & 4.51 & 0.06 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.15 ( 0.04 ) & 0.93 ( 0.07 ) & 0.34 ( 0 ) & 0.86 & 1.15 ( 0 ) & 5.22 & 0.02 \\\\\n", + "\t 50 & 100 & 0.1 & 1 ( 0 ) & 6 ( 0 ) & 1.36 ( 0.06 ) & NaN & 2.19 ( 0.02 ) & 0.00 & NaN \\\\\n", + "\t 100 & 100 & 0.1 & 4.11 ( 0.18 ) & 4.17 ( 0.1 ) & 0.93 ( 0.03 ) & 0.12 & 1.99 ( 0.01 ) & 5.93 & 0.68 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| n | p | rou | FP | FN | MSE | Stab | OOB | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1 ( 0 ) | 6 ( 0 ) | 1.4 ( 0.06 ) | NaN | 1.98 ( 0.02 ) | 0.00 | NaN |\n", + "| 100 | 50 | 0.1 | 1.87 ( 0.14 ) | 4.25 ( 0.09 ) | 0.86 ( 0.03 ) | 0.19 | 1.76 ( 0.01 ) | 3.62 | 0.48 |\n", + "| 500 | 50 | 0.1 | 0.32 ( 0.05 ) | 1.81 ( 0.07 ) | 0.44 ( 0.01 ) | 0.77 | 1.29 ( 0 ) | 4.51 | 0.06 |\n", + "| 1000 | 50 | 0.1 | 0.15 ( 0.04 ) | 0.93 ( 0.07 ) | 0.34 ( 0 ) | 0.86 | 1.15 ( 0 ) | 5.22 | 0.02 |\n", + "| 50 | 100 | 0.1 | 1 ( 0 ) | 6 ( 0 ) | 1.36 ( 0.06 ) | NaN | 2.19 ( 0.02 ) | 0.00 | NaN |\n", + "| 100 | 100 | 0.1 | 4.11 ( 0.18 ) | 4.17 ( 0.1 ) | 0.93 ( 0.03 ) | 0.12 | 1.99 ( 0.01 ) | 5.93 | 0.68 |\n", + "\n" + ], + "text/plain": [ + " n p rou FP FN MSE Stab OOB \n", + "1 50 50 0.1 1 ( 0 ) 6 ( 0 ) 1.4 ( 0.06 ) NaN 1.98 ( 0.02 )\n", + "2 100 50 0.1 1.87 ( 0.14 ) 4.25 ( 0.09 ) 0.86 ( 0.03 ) 0.19 1.76 ( 0.01 )\n", + "3 500 50 0.1 0.32 ( 0.05 ) 1.81 ( 0.07 ) 0.44 ( 0.01 ) 0.77 1.29 ( 0 ) \n", + "4 1000 50 0.1 0.15 ( 0.04 ) 0.93 ( 0.07 ) 0.34 ( 0 ) 0.86 1.15 ( 0 ) \n", + "5 50 100 0.1 1 ( 0 ) 6 ( 0 ) 1.36 ( 0.06 ) NaN 2.19 ( 0.02 )\n", + "6 100 100 0.1 4.11 ( 0.18 ) 4.17 ( 0.1 ) 0.93 ( 0.03 ) 0.12 1.99 ( 0.01 )\n", + " num_select FDR \n", + "1 0.00 NaN\n", + "2 3.62 0.48\n", + "3 4.51 0.06\n", + "4 5.22 0.02\n", + "5 0.00 NaN\n", + "6 5.93 0.68" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "extract_numeric() is deprecated: please use readr::parse_number() instead\n", + "extract_numeric() is deprecated: please use readr::parse_number() instead\n" + ] + } + ], + "source": [ + "# export result\n", + "result.table_toe <- apply(table_toe,2,as.character)\n", + "rownames(result.table_toe) = rownames(table_toe)\n", + "result.table_toe = as.data.frame(result.table_toe)\n", + "\n", + "# extract numbers only for 'n' & 'p'\n", + "result.table_toe$n = tidyr::extract_numeric(result.table_toe$n)\n", + "result.table_toe$p = tidyr::extract_numeric(result.table_toe$p)\n", + "result.table_toe$ratio = result.table_toe$p / result.table_toe$n\n", + "\n", + "result.table_toe = result.table_toe[c('n', 'p', 'rou', 'ratio', 'Stab', 'MSE', 'FP', 'FN', 'OOB', 'num_select', 'FDR')]\n", + "colnames(result.table_toe)[1:4] = c('N', 'P', 'Corr', 'Ratio')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDR
    50 50 0.1 1.00 NaN 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 )0 NaN
    100 50 0.1 0.50 0.19 0.86 ( 0.03 )1.87 ( 0.14 )4.25 ( 0.09 )1.76 ( 0.01 )3.62 0.48
    500 50 0.1 0.10 0.77 0.44 ( 0.01 )0.32 ( 0.05 )1.81 ( 0.07 )1.29 ( 0 ) 4.51 0.06
    1000 50 0.1 0.05 0.86 0.34 ( 0 ) 0.15 ( 0.04 )0.93 ( 0.07 )1.15 ( 0 ) 5.22 0.02
    50 100 0.1 2.00 NaN 1.36 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.19 ( 0.02 )0 NaN
    100 100 0.1 1.00 0.12 0.93 ( 0.03 )4.11 ( 0.18 )4.17 ( 0.1 ) 1.99 ( 0.01 )5.93 0.68
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & NaN & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0 & NaN \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.19 & 0.86 ( 0.03 ) & 1.87 ( 0.14 ) & 4.25 ( 0.09 ) & 1.76 ( 0.01 ) & 3.62 & 0.48 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.77 & 0.44 ( 0.01 ) & 0.32 ( 0.05 ) & 1.81 ( 0.07 ) & 1.29 ( 0 ) & 4.51 & 0.06 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.86 & 0.34 ( 0 ) & 0.15 ( 0.04 ) & 0.93 ( 0.07 ) & 1.15 ( 0 ) & 5.22 & 0.02 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & NaN & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.19 ( 0.02 ) & 0 & NaN \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.12 & 0.93 ( 0.03 ) & 4.11 ( 0.18 ) & 4.17 ( 0.1 ) & 1.99 ( 0.01 ) & 5.93 & 0.68 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR |\n", + "|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | NaN | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0 | NaN |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.19 | 0.86 ( 0.03 ) | 1.87 ( 0.14 ) | 4.25 ( 0.09 ) | 1.76 ( 0.01 ) | 3.62 | 0.48 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.77 | 0.44 ( 0.01 ) | 0.32 ( 0.05 ) | 1.81 ( 0.07 ) | 1.29 ( 0 ) | 4.51 | 0.06 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.86 | 0.34 ( 0 ) | 0.15 ( 0.04 ) | 0.93 ( 0.07 ) | 1.15 ( 0 ) | 5.22 | 0.02 |\n", + "| 50 | 100 | 0.1 | 2.00 | NaN | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.19 ( 0.02 ) | 0 | NaN |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.12 | 0.93 ( 0.03 ) | 4.11 ( 0.18 ) | 4.17 ( 0.1 ) | 1.99 ( 0.01 ) | 5.93 | 0.68 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.00 NaN 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.1 0.50 0.19 0.86 ( 0.03 ) 1.87 ( 0.14 ) 4.25 ( 0.09 )\n", + "3 500 50 0.1 0.10 0.77 0.44 ( 0.01 ) 0.32 ( 0.05 ) 1.81 ( 0.07 )\n", + "4 1000 50 0.1 0.05 0.86 0.34 ( 0 ) 0.15 ( 0.04 ) 0.93 ( 0.07 )\n", + "5 50 100 0.1 2.00 NaN 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "6 100 100 0.1 1.00 0.12 0.93 ( 0.03 ) 4.11 ( 0.18 ) 4.17 ( 0.1 ) \n", + " OOB num_select FDR \n", + "1 1.98 ( 0.02 ) 0 NaN \n", + "2 1.76 ( 0.01 ) 3.62 0.48\n", + "3 1.29 ( 0 ) 4.51 0.06\n", + "4 1.15 ( 0 ) 5.22 0.02\n", + "5 2.19 ( 0.02 ) 0 NaN \n", + "6 1.99 ( 0.01 ) 5.93 0.68" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”Warning message in eval(expr, envir, enclos):\n", + "“NAs introduced by coercion”" + ] + } + ], + "source": [ + "# convert interested measurements to be numeric\n", + "result.table_toe$Stab = as.numeric(as.character(result.table_toe$Stab))\n", + "result.table_toe$MSE_mean = as.numeric(substr(result.table_toe$MSE, start=1, stop=4))\n", + "result.table_toe$FP_mean = as.numeric(substr(result.table_toe$FP, start=1, stop=4))\n", + "result.table_toe$FN_mean = as.numeric(substr(result.table_toe$FN, start=1, stop=4))\n", + "result.table_toe$FN_mean[is.na(result.table_toe$FN_mean)] = 0\n", + "result.table_toe$OOB_mean = as.numeric(substr(result.table_toe$OOB, start=1, stop=4))\n", + "result.table_toe$num_select = as.numeric(as.character(result.table_toe$num_select))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
    1 50 50 0.1 1 NaN 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 ) 0.00 NaN 1.40 NA 0.00 1.98
    5 50 100 0.1 2 NaN 1.36 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.19 ( 0.02 ) 0.00 NaN 1.36 NA 0.00 2.19
    9 50 500 0.1 10 NaN 1.29 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.39 ( 0.02 ) 0.00 NaN 1.29 NA 0.00 2.39
    13 50 1000 0.1 20 NaN 1.35 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.42 ( 0.02 ) 0.00 NaN 1.35 NA 0.00 2.42
    14100 1000 0.1 10 0.01 1 ( 0.03 ) 49.42 ( 0.7 )4.71 ( 0.09 )2.39 ( 0.02 )50.71 0.97 NA 49.4 4.71 2.39
    17 50 50 0.3 1 NaN 1.22 ( 0.05 )1 ( 0 ) 6 ( 0 ) 1.87 ( 0.02 ) 0.00 NaN 1.22 NA 0.00 1.87
    21 50 100 0.3 2 NaN 1.15 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.03 ( 0.02 ) 0.00 NaN 1.15 NA 0.00 2.03
    25 50 500 0.3 10 NaN 1.14 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.24 ( 0.02 ) 0.00 NaN 1.14 NA 0.00 2.24
    29 50 1000 0.3 20 NaN 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.29 ( 0.02 ) 0.00 NaN 1.20 NA 0.00 2.29
    33 50 50 0.5 1 NaN 0.99 ( 0.05 )1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 ) 0.00 NaN 0.99 NA 0.00 1.68
    37 50 100 0.5 2 NaN 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.84 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 1.84
    41 50 500 0.5 10 NaN 0.95 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 ) 0.00 NaN 0.95 NA 0.00 2.04
    45 50 1000 0.5 20 NaN 0.94 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 ) 0.00 NaN 0.94 NA 0.00 2.04
    49 50 50 0.7 1 NaN 0.66 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.44 ( 0.01 ) 0.00 NaN 0.66 NA 0.00 1.44
    53 50 100 0.7 2 NaN 0.67 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.5 ( 0.02 ) 0.00 NaN 0.67 NA 0.00 1.50
    57 50 500 0.7 10 NaN 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 ) 0.00 NaN 0.70 NA 0.00 1.68
    61 50 1000 0.7 20 NaN 0.74 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.69 ( 0.02 ) 0.00 NaN 0.74 NA 0.00 1.69
    65 50 50 0.9 1 NaN 0.27 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0.96 ( 0.01 ) 0.00 NaN 0.27 NA 0.00 0.96
    69 50 100 0.9 2 NaN 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1 ( 0.01 ) 0.00 NaN 0.30 NA 0.00 NA
    73 50 500 0.9 10 NaN 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.1 ( 0.01 ) 0.00 NaN 0.29 NA 0.00 1.10
    77 50 1000 0.9 20 NaN 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.11 ( 0.01 ) 0.00 NaN 0.29 NA 0.00 1.11
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1 & NaN & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0.00 & NaN & 1.40 & NA & 0.00 & 1.98 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2 & NaN & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.19 ( 0.02 ) & 0.00 & NaN & 1.36 & NA & 0.00 & 2.19 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10 & NaN & 1.29 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.39 ( 0.02 ) & 0.00 & NaN & 1.29 & NA & 0.00 & 2.39 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20 & NaN & 1.35 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.42 ( 0.02 ) & 0.00 & NaN & 1.35 & NA & 0.00 & 2.42 \\\\\n", + "\t14 & 100 & 1000 & 0.1 & 10 & 0.01 & 1 ( 0.03 ) & 49.42 ( 0.7 ) & 4.71 ( 0.09 ) & 2.39 ( 0.02 ) & 50.71 & 0.97 & NA & 49.4 & 4.71 & 2.39 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1 & NaN & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.87 ( 0.02 ) & 0.00 & NaN & 1.22 & NA & 0.00 & 1.87 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2 & NaN & 1.15 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.03 ( 0.02 ) & 0.00 & NaN & 1.15 & NA & 0.00 & 2.03 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10 & NaN & 1.14 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.24 ( 0.02 ) & 0.00 & NaN & 1.14 & NA & 0.00 & 2.24 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20 & NaN & 1.2 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.29 ( 0.02 ) & 0.00 & NaN & 1.20 & NA & 0.00 & 2.29 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1 & NaN & 0.99 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.00 & NaN & 0.99 & NA & 0.00 & 1.68 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2 & NaN & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.84 ( 0.02 ) & 0.00 & NaN & 0.91 & NA & 0.00 & 1.84 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10 & NaN & 0.95 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.00 & NaN & 0.95 & NA & 0.00 & 2.04 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20 & NaN & 0.94 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.00 & NaN & 0.94 & NA & 0.00 & 2.04 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1 & NaN & 0.66 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.44 ( 0.01 ) & 0.00 & NaN & 0.66 & NA & 0.00 & 1.44 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2 & NaN & 0.67 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.5 ( 0.02 ) & 0.00 & NaN & 0.67 & NA & 0.00 & 1.50 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10 & NaN & 0.7 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.00 & NaN & 0.70 & NA & 0.00 & 1.68 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20 & NaN & 0.74 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.69 ( 0.02 ) & 0.00 & NaN & 0.74 & NA & 0.00 & 1.69 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1 & NaN & 0.27 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0.96 ( 0.01 ) & 0.00 & NaN & 0.27 & NA & 0.00 & 0.96 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2 & NaN & 0.3 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1 ( 0.01 ) & 0.00 & NaN & 0.30 & NA & 0.00 & NA \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10 & NaN & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.1 ( 0.01 ) & 0.00 & NaN & 0.29 & NA & 0.00 & 1.10 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20 & NaN & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.11 ( 0.01 ) & 0.00 & NaN & 0.29 & NA & 0.00 & 1.11 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1 | NaN | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0.00 | NaN | 1.40 | NA | 0.00 | 1.98 |\n", + "| 5 | 50 | 100 | 0.1 | 2 | NaN | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.19 ( 0.02 ) | 0.00 | NaN | 1.36 | NA | 0.00 | 2.19 |\n", + "| 9 | 50 | 500 | 0.1 | 10 | NaN | 1.29 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.39 ( 0.02 ) | 0.00 | NaN | 1.29 | NA | 0.00 | 2.39 |\n", + "| 13 | 50 | 1000 | 0.1 | 20 | NaN | 1.35 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.42 ( 0.02 ) | 0.00 | NaN | 1.35 | NA | 0.00 | 2.42 |\n", + "| 14 | 100 | 1000 | 0.1 | 10 | 0.01 | 1 ( 0.03 ) | 49.42 ( 0.7 ) | 4.71 ( 0.09 ) | 2.39 ( 0.02 ) | 50.71 | 0.97 | NA | 49.4 | 4.71 | 2.39 |\n", + "| 17 | 50 | 50 | 0.3 | 1 | NaN | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.87 ( 0.02 ) | 0.00 | NaN | 1.22 | NA | 0.00 | 1.87 |\n", + "| 21 | 50 | 100 | 0.3 | 2 | NaN | 1.15 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.03 ( 0.02 ) | 0.00 | NaN | 1.15 | NA | 0.00 | 2.03 |\n", + "| 25 | 50 | 500 | 0.3 | 10 | NaN | 1.14 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.24 ( 0.02 ) | 0.00 | NaN | 1.14 | NA | 0.00 | 2.24 |\n", + "| 29 | 50 | 1000 | 0.3 | 20 | NaN | 1.2 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.29 ( 0.02 ) | 0.00 | NaN | 1.20 | NA | 0.00 | 2.29 |\n", + "| 33 | 50 | 50 | 0.5 | 1 | NaN | 0.99 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.00 | NaN | 0.99 | NA | 0.00 | 1.68 |\n", + "| 37 | 50 | 100 | 0.5 | 2 | NaN | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.84 ( 0.02 ) | 0.00 | NaN | 0.91 | NA | 0.00 | 1.84 |\n", + "| 41 | 50 | 500 | 0.5 | 10 | NaN | 0.95 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.00 | NaN | 0.95 | NA | 0.00 | 2.04 |\n", + "| 45 | 50 | 1000 | 0.5 | 20 | NaN | 0.94 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.00 | NaN | 0.94 | NA | 0.00 | 2.04 |\n", + "| 49 | 50 | 50 | 0.7 | 1 | NaN | 0.66 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.44 ( 0.01 ) | 0.00 | NaN | 0.66 | NA | 0.00 | 1.44 |\n", + "| 53 | 50 | 100 | 0.7 | 2 | NaN | 0.67 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.5 ( 0.02 ) | 0.00 | NaN | 0.67 | NA | 0.00 | 1.50 |\n", + "| 57 | 50 | 500 | 0.7 | 10 | NaN | 0.7 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.00 | NaN | 0.70 | NA | 0.00 | 1.68 |\n", + "| 61 | 50 | 1000 | 0.7 | 20 | NaN | 0.74 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.69 ( 0.02 ) | 0.00 | NaN | 0.74 | NA | 0.00 | 1.69 |\n", + "| 65 | 50 | 50 | 0.9 | 1 | NaN | 0.27 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0.96 ( 0.01 ) | 0.00 | NaN | 0.27 | NA | 0.00 | 0.96 |\n", + "| 69 | 50 | 100 | 0.9 | 2 | NaN | 0.3 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1 ( 0.01 ) | 0.00 | NaN | 0.30 | NA | 0.00 | NA |\n", + "| 73 | 50 | 500 | 0.9 | 10 | NaN | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.1 ( 0.01 ) | 0.00 | NaN | 0.29 | NA | 0.00 | 1.10 |\n", + "| 77 | 50 | 1000 | 0.9 | 20 | NaN | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.11 ( 0.01 ) | 0.00 | NaN | 0.29 | NA | 0.00 | 1.11 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1 NaN 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "5 50 100 0.1 2 NaN 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "9 50 500 0.1 10 NaN 1.29 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "13 50 1000 0.1 20 NaN 1.35 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "14 100 1000 0.1 10 0.01 1 ( 0.03 ) 49.42 ( 0.7 ) 4.71 ( 0.09 )\n", + "17 50 50 0.3 1 NaN 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "21 50 100 0.3 2 NaN 1.15 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "25 50 500 0.3 10 NaN 1.14 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "29 50 1000 0.3 20 NaN 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "33 50 50 0.5 1 NaN 0.99 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "37 50 100 0.5 2 NaN 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "41 50 500 0.5 10 NaN 0.95 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "45 50 1000 0.5 20 NaN 0.94 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "49 50 50 0.7 1 NaN 0.66 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "53 50 100 0.7 2 NaN 0.67 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "57 50 500 0.7 10 NaN 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "61 50 1000 0.7 20 NaN 0.74 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "65 50 50 0.9 1 NaN 0.27 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "69 50 100 0.9 2 NaN 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "73 50 500 0.9 10 NaN 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "77 50 1000 0.9 20 NaN 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 1.98 ( 0.02 ) 0.00 NaN 1.40 NA 0.00 1.98 \n", + "5 2.19 ( 0.02 ) 0.00 NaN 1.36 NA 0.00 2.19 \n", + "9 2.39 ( 0.02 ) 0.00 NaN 1.29 NA 0.00 2.39 \n", + "13 2.42 ( 0.02 ) 0.00 NaN 1.35 NA 0.00 2.42 \n", + "14 2.39 ( 0.02 ) 50.71 0.97 NA 49.4 4.71 2.39 \n", + "17 1.87 ( 0.02 ) 0.00 NaN 1.22 NA 0.00 1.87 \n", + "21 2.03 ( 0.02 ) 0.00 NaN 1.15 NA 0.00 2.03 \n", + "25 2.24 ( 0.02 ) 0.00 NaN 1.14 NA 0.00 2.24 \n", + "29 2.29 ( 0.02 ) 0.00 NaN 1.20 NA 0.00 2.29 \n", + "33 1.68 ( 0.02 ) 0.00 NaN 0.99 NA 0.00 1.68 \n", + "37 1.84 ( 0.02 ) 0.00 NaN 0.91 NA 0.00 1.84 \n", + "41 2.04 ( 0.02 ) 0.00 NaN 0.95 NA 0.00 2.04 \n", + "45 2.04 ( 0.02 ) 0.00 NaN 0.94 NA 0.00 2.04 \n", + "49 1.44 ( 0.01 ) 0.00 NaN 0.66 NA 0.00 1.44 \n", + "53 1.5 ( 0.02 ) 0.00 NaN 0.67 NA 0.00 1.50 \n", + "57 1.68 ( 0.02 ) 0.00 NaN 0.70 NA 0.00 1.68 \n", + "61 1.69 ( 0.02 ) 0.00 NaN 0.74 NA 0.00 1.69 \n", + "65 0.96 ( 0.01 ) 0.00 NaN 0.27 NA 0.00 0.96 \n", + "69 1 ( 0.01 ) 0.00 NaN 0.30 NA 0.00 NA \n", + "73 1.1 ( 0.01 ) 0.00 NaN 0.29 NA 0.00 1.10 \n", + "77 1.11 ( 0.01 ) 0.00 NaN 0.29 NA 0.00 1.11 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# check whether missing values exists\n", + "result.table_toe[rowSums(is.na(result.table_toe)) > 0,]" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "# recover values\n", + "result.table_toe$Stab[is.na(result.table_toe$Stab)] = 0\n", + "result.table_toe$MSE_mean[is.na(result.table_toe$MSE_mean)] = 1\n", + "result.table_toe$FP_mean[is.na(result.table_toe$FP_mean)] = 1\n", + "result.table_toe$FN_mean[result.table_toe$num_select == 0] = 6\n", + "result.table_toe$OOB_mean[is.na(result.table_toe$OOB_mean)] = 1" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
    1 50 50 0.1 1 0.00 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 1.98 ( 0.02 ) 0.00 NaN 1.40 1.0 6.00 1.98
    5 50 100 0.1 2 0.00 1.36 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.19 ( 0.02 ) 0.00 NaN 1.36 1.0 6.00 2.19
    9 50 500 0.1 10 0.00 1.29 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.39 ( 0.02 ) 0.00 NaN 1.29 1.0 6.00 2.39
    13 50 1000 0.1 20 0.00 1.35 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.42 ( 0.02 ) 0.00 NaN 1.35 1.0 6.00 2.42
    14100 1000 0.1 10 0.01 1 ( 0.03 ) 49.42 ( 0.7 )4.71 ( 0.09 )2.39 ( 0.02 )50.71 0.97 1.00 49.4 4.71 2.39
    17 50 50 0.3 1 0.00 1.22 ( 0.05 )1 ( 0 ) 6 ( 0 ) 1.87 ( 0.02 ) 0.00 NaN 1.22 1.0 6.00 1.87
    21 50 100 0.3 2 0.00 1.15 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.03 ( 0.02 ) 0.00 NaN 1.15 1.0 6.00 2.03
    25 50 500 0.3 10 0.00 1.14 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.24 ( 0.02 ) 0.00 NaN 1.14 1.0 6.00 2.24
    29 50 1000 0.3 20 0.00 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.29 ( 0.02 ) 0.00 NaN 1.20 1.0 6.00 2.29
    33 50 50 0.5 1 0.00 0.99 ( 0.05 )1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 ) 0.00 NaN 0.99 1.0 6.00 1.68
    37 50 100 0.5 2 0.00 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.84 ( 0.02 ) 0.00 NaN 0.91 1.0 6.00 1.84
    41 50 500 0.5 10 0.00 0.95 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 ) 0.00 NaN 0.95 1.0 6.00 2.04
    45 50 1000 0.5 20 0.00 0.94 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 ) 0.00 NaN 0.94 1.0 6.00 2.04
    49 50 50 0.7 1 0.00 0.66 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.44 ( 0.01 ) 0.00 NaN 0.66 1.0 6.00 1.44
    53 50 100 0.7 2 0.00 0.67 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.5 ( 0.02 ) 0.00 NaN 0.67 1.0 6.00 1.50
    57 50 500 0.7 10 0.00 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 ) 0.00 NaN 0.70 1.0 6.00 1.68
    61 50 1000 0.7 20 0.00 0.74 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.69 ( 0.02 ) 0.00 NaN 0.74 1.0 6.00 1.69
    65 50 50 0.9 1 0.00 0.27 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0.96 ( 0.01 ) 0.00 NaN 0.27 1.0 6.00 0.96
    69 50 100 0.9 2 0.00 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1 ( 0.01 ) 0.00 NaN 0.30 1.0 6.00 1.00
    73 50 500 0.9 10 0.00 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.1 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.10
    77 50 1000 0.9 20 0.00 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.11 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.11
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1 & 0.00 & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0.00 & NaN & 1.40 & 1.0 & 6.00 & 1.98 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2 & 0.00 & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.19 ( 0.02 ) & 0.00 & NaN & 1.36 & 1.0 & 6.00 & 2.19 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10 & 0.00 & 1.29 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.39 ( 0.02 ) & 0.00 & NaN & 1.29 & 1.0 & 6.00 & 2.39 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20 & 0.00 & 1.35 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.42 ( 0.02 ) & 0.00 & NaN & 1.35 & 1.0 & 6.00 & 2.42 \\\\\n", + "\t14 & 100 & 1000 & 0.1 & 10 & 0.01 & 1 ( 0.03 ) & 49.42 ( 0.7 ) & 4.71 ( 0.09 ) & 2.39 ( 0.02 ) & 50.71 & 0.97 & 1.00 & 49.4 & 4.71 & 2.39 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1 & 0.00 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.87 ( 0.02 ) & 0.00 & NaN & 1.22 & 1.0 & 6.00 & 1.87 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2 & 0.00 & 1.15 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.03 ( 0.02 ) & 0.00 & NaN & 1.15 & 1.0 & 6.00 & 2.03 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10 & 0.00 & 1.14 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.24 ( 0.02 ) & 0.00 & NaN & 1.14 & 1.0 & 6.00 & 2.24 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20 & 0.00 & 1.2 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.29 ( 0.02 ) & 0.00 & NaN & 1.20 & 1.0 & 6.00 & 2.29 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1 & 0.00 & 0.99 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.00 & NaN & 0.99 & 1.0 & 6.00 & 1.68 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2 & 0.00 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.84 ( 0.02 ) & 0.00 & NaN & 0.91 & 1.0 & 6.00 & 1.84 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10 & 0.00 & 0.95 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.00 & NaN & 0.95 & 1.0 & 6.00 & 2.04 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20 & 0.00 & 0.94 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.00 & NaN & 0.94 & 1.0 & 6.00 & 2.04 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1 & 0.00 & 0.66 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.44 ( 0.01 ) & 0.00 & NaN & 0.66 & 1.0 & 6.00 & 1.44 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2 & 0.00 & 0.67 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.5 ( 0.02 ) & 0.00 & NaN & 0.67 & 1.0 & 6.00 & 1.50 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10 & 0.00 & 0.7 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.00 & NaN & 0.70 & 1.0 & 6.00 & 1.68 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20 & 0.00 & 0.74 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.69 ( 0.02 ) & 0.00 & NaN & 0.74 & 1.0 & 6.00 & 1.69 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1 & 0.00 & 0.27 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0.96 ( 0.01 ) & 0.00 & NaN & 0.27 & 1.0 & 6.00 & 0.96 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2 & 0.00 & 0.3 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1 ( 0.01 ) & 0.00 & NaN & 0.30 & 1.0 & 6.00 & 1.00 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10 & 0.00 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.1 ( 0.01 ) & 0.00 & NaN & 0.29 & 1.0 & 6.00 & 1.10 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20 & 0.00 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.11 ( 0.01 ) & 0.00 & NaN & 0.29 & 1.0 & 6.00 & 1.11 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1 | 0.00 | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0.00 | NaN | 1.40 | 1.0 | 6.00 | 1.98 |\n", + "| 5 | 50 | 100 | 0.1 | 2 | 0.00 | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.19 ( 0.02 ) | 0.00 | NaN | 1.36 | 1.0 | 6.00 | 2.19 |\n", + "| 9 | 50 | 500 | 0.1 | 10 | 0.00 | 1.29 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.39 ( 0.02 ) | 0.00 | NaN | 1.29 | 1.0 | 6.00 | 2.39 |\n", + "| 13 | 50 | 1000 | 0.1 | 20 | 0.00 | 1.35 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.42 ( 0.02 ) | 0.00 | NaN | 1.35 | 1.0 | 6.00 | 2.42 |\n", + "| 14 | 100 | 1000 | 0.1 | 10 | 0.01 | 1 ( 0.03 ) | 49.42 ( 0.7 ) | 4.71 ( 0.09 ) | 2.39 ( 0.02 ) | 50.71 | 0.97 | 1.00 | 49.4 | 4.71 | 2.39 |\n", + "| 17 | 50 | 50 | 0.3 | 1 | 0.00 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.87 ( 0.02 ) | 0.00 | NaN | 1.22 | 1.0 | 6.00 | 1.87 |\n", + "| 21 | 50 | 100 | 0.3 | 2 | 0.00 | 1.15 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.03 ( 0.02 ) | 0.00 | NaN | 1.15 | 1.0 | 6.00 | 2.03 |\n", + "| 25 | 50 | 500 | 0.3 | 10 | 0.00 | 1.14 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.24 ( 0.02 ) | 0.00 | NaN | 1.14 | 1.0 | 6.00 | 2.24 |\n", + "| 29 | 50 | 1000 | 0.3 | 20 | 0.00 | 1.2 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.29 ( 0.02 ) | 0.00 | NaN | 1.20 | 1.0 | 6.00 | 2.29 |\n", + "| 33 | 50 | 50 | 0.5 | 1 | 0.00 | 0.99 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.00 | NaN | 0.99 | 1.0 | 6.00 | 1.68 |\n", + "| 37 | 50 | 100 | 0.5 | 2 | 0.00 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.84 ( 0.02 ) | 0.00 | NaN | 0.91 | 1.0 | 6.00 | 1.84 |\n", + "| 41 | 50 | 500 | 0.5 | 10 | 0.00 | 0.95 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.00 | NaN | 0.95 | 1.0 | 6.00 | 2.04 |\n", + "| 45 | 50 | 1000 | 0.5 | 20 | 0.00 | 0.94 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.00 | NaN | 0.94 | 1.0 | 6.00 | 2.04 |\n", + "| 49 | 50 | 50 | 0.7 | 1 | 0.00 | 0.66 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.44 ( 0.01 ) | 0.00 | NaN | 0.66 | 1.0 | 6.00 | 1.44 |\n", + "| 53 | 50 | 100 | 0.7 | 2 | 0.00 | 0.67 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.5 ( 0.02 ) | 0.00 | NaN | 0.67 | 1.0 | 6.00 | 1.50 |\n", + "| 57 | 50 | 500 | 0.7 | 10 | 0.00 | 0.7 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.00 | NaN | 0.70 | 1.0 | 6.00 | 1.68 |\n", + "| 61 | 50 | 1000 | 0.7 | 20 | 0.00 | 0.74 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.69 ( 0.02 ) | 0.00 | NaN | 0.74 | 1.0 | 6.00 | 1.69 |\n", + "| 65 | 50 | 50 | 0.9 | 1 | 0.00 | 0.27 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0.96 ( 0.01 ) | 0.00 | NaN | 0.27 | 1.0 | 6.00 | 0.96 |\n", + "| 69 | 50 | 100 | 0.9 | 2 | 0.00 | 0.3 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1 ( 0.01 ) | 0.00 | NaN | 0.30 | 1.0 | 6.00 | 1.00 |\n", + "| 73 | 50 | 500 | 0.9 | 10 | 0.00 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.1 ( 0.01 ) | 0.00 | NaN | 0.29 | 1.0 | 6.00 | 1.10 |\n", + "| 77 | 50 | 1000 | 0.9 | 20 | 0.00 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.11 ( 0.01 ) | 0.00 | NaN | 0.29 | 1.0 | 6.00 | 1.11 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1 0.00 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "5 50 100 0.1 2 0.00 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "9 50 500 0.1 10 0.00 1.29 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "13 50 1000 0.1 20 0.00 1.35 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "14 100 1000 0.1 10 0.01 1 ( 0.03 ) 49.42 ( 0.7 ) 4.71 ( 0.09 )\n", + "17 50 50 0.3 1 0.00 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "21 50 100 0.3 2 0.00 1.15 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "25 50 500 0.3 10 0.00 1.14 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "29 50 1000 0.3 20 0.00 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "33 50 50 0.5 1 0.00 0.99 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "37 50 100 0.5 2 0.00 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "41 50 500 0.5 10 0.00 0.95 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "45 50 1000 0.5 20 0.00 0.94 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "49 50 50 0.7 1 0.00 0.66 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "53 50 100 0.7 2 0.00 0.67 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "57 50 500 0.7 10 0.00 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "61 50 1000 0.7 20 0.00 0.74 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "65 50 50 0.9 1 0.00 0.27 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "69 50 100 0.9 2 0.00 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "73 50 500 0.9 10 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "77 50 1000 0.9 20 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 1.98 ( 0.02 ) 0.00 NaN 1.40 1.0 6.00 1.98 \n", + "5 2.19 ( 0.02 ) 0.00 NaN 1.36 1.0 6.00 2.19 \n", + "9 2.39 ( 0.02 ) 0.00 NaN 1.29 1.0 6.00 2.39 \n", + "13 2.42 ( 0.02 ) 0.00 NaN 1.35 1.0 6.00 2.42 \n", + "14 2.39 ( 0.02 ) 50.71 0.97 1.00 49.4 4.71 2.39 \n", + "17 1.87 ( 0.02 ) 0.00 NaN 1.22 1.0 6.00 1.87 \n", + "21 2.03 ( 0.02 ) 0.00 NaN 1.15 1.0 6.00 2.03 \n", + "25 2.24 ( 0.02 ) 0.00 NaN 1.14 1.0 6.00 2.24 \n", + "29 2.29 ( 0.02 ) 0.00 NaN 1.20 1.0 6.00 2.29 \n", + "33 1.68 ( 0.02 ) 0.00 NaN 0.99 1.0 6.00 1.68 \n", + "37 1.84 ( 0.02 ) 0.00 NaN 0.91 1.0 6.00 1.84 \n", + "41 2.04 ( 0.02 ) 0.00 NaN 0.95 1.0 6.00 2.04 \n", + "45 2.04 ( 0.02 ) 0.00 NaN 0.94 1.0 6.00 2.04 \n", + "49 1.44 ( 0.01 ) 0.00 NaN 0.66 1.0 6.00 1.44 \n", + "53 1.5 ( 0.02 ) 0.00 NaN 0.67 1.0 6.00 1.50 \n", + "57 1.68 ( 0.02 ) 0.00 NaN 0.70 1.0 6.00 1.68 \n", + "61 1.69 ( 0.02 ) 0.00 NaN 0.74 1.0 6.00 1.69 \n", + "65 0.96 ( 0.01 ) 0.00 NaN 0.27 1.0 6.00 0.96 \n", + "69 1 ( 0.01 ) 0.00 NaN 0.30 1.0 6.00 1.00 \n", + "73 1.1 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.10 \n", + "77 1.11 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.11 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "result.table_toe[c(1,5,9,13,14,17,21,25,29,33,37,41,45,49,53,57,61,65,69,73,77), ]" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + 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    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
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    100 100 0.1 1.00 0.12 0.93 ( 0.03 )4.11 ( 0.18 )4.17 ( 0.1 ) 1.99 ( 0.01 )5.93 0.68 0.93 4.11 4.17 1.99
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.00 & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 0.00 & NaN & 1.40 & 1.00 & 6.00 & 1.98 \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.19 & 0.86 ( 0.03 ) & 1.87 ( 0.14 ) & 4.25 ( 0.09 ) & 1.76 ( 0.01 ) & 3.62 & 0.48 & 0.86 & 1.87 & 4.25 & 1.76 \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.77 & 0.44 ( 0.01 ) & 0.32 ( 0.05 ) & 1.81 ( 0.07 ) & 1.29 ( 0 ) & 4.51 & 0.06 & 0.44 & 0.32 & 1.81 & 1.29 \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.86 & 0.34 ( 0 ) & 0.15 ( 0.04 ) & 0.93 ( 0.07 ) & 1.15 ( 0 ) & 5.22 & 0.02 & 0.34 & 0.15 & 0.93 & 1.15 \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.00 & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.19 ( 0.02 ) & 0.00 & NaN & 1.36 & 1.00 & 6.00 & 2.19 \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.12 & 0.93 ( 0.03 ) & 4.11 ( 0.18 ) & 4.17 ( 0.1 ) & 1.99 ( 0.01 ) & 5.93 & 0.68 & 0.93 & 4.11 & 4.17 & 1.99 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.00 | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 0.00 | NaN | 1.40 | 1.00 | 6.00 | 1.98 |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.19 | 0.86 ( 0.03 ) | 1.87 ( 0.14 ) | 4.25 ( 0.09 ) | 1.76 ( 0.01 ) | 3.62 | 0.48 | 0.86 | 1.87 | 4.25 | 1.76 |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.77 | 0.44 ( 0.01 ) | 0.32 ( 0.05 ) | 1.81 ( 0.07 ) | 1.29 ( 0 ) | 4.51 | 0.06 | 0.44 | 0.32 | 1.81 | 1.29 |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.86 | 0.34 ( 0 ) | 0.15 ( 0.04 ) | 0.93 ( 0.07 ) | 1.15 ( 0 ) | 5.22 | 0.02 | 0.34 | 0.15 | 0.93 | 1.15 |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.00 | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.19 ( 0.02 ) | 0.00 | NaN | 1.36 | 1.00 | 6.00 | 2.19 |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.12 | 0.93 ( 0.03 ) | 4.11 ( 0.18 ) | 4.17 ( 0.1 ) | 1.99 ( 0.01 ) | 5.93 | 0.68 | 0.93 | 4.11 | 4.17 | 1.99 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.00 0.00 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.1 0.50 0.19 0.86 ( 0.03 ) 1.87 ( 0.14 ) 4.25 ( 0.09 )\n", + "3 500 50 0.1 0.10 0.77 0.44 ( 0.01 ) 0.32 ( 0.05 ) 1.81 ( 0.07 )\n", + "4 1000 50 0.1 0.05 0.86 0.34 ( 0 ) 0.15 ( 0.04 ) 0.93 ( 0.07 )\n", + "5 50 100 0.1 2.00 0.00 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "6 100 100 0.1 1.00 0.12 0.93 ( 0.03 ) 4.11 ( 0.18 ) 4.17 ( 0.1 ) \n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "1 1.98 ( 0.02 ) 0.00 NaN 1.40 1.00 6.00 1.98 \n", + "2 1.76 ( 0.01 ) 3.62 0.48 0.86 1.87 4.25 1.76 \n", + "3 1.29 ( 0 ) 4.51 0.06 0.44 0.32 1.81 1.29 \n", + "4 1.15 ( 0 ) 5.22 0.02 0.34 0.15 0.93 1.15 \n", + "5 2.19 ( 0.02 ) 0.00 NaN 1.36 1.00 6.00 2.19 \n", + "6 1.99 ( 0.01 ) 5.93 0.68 0.93 4.11 4.17 1.99 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "head(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNOOBnum_selectFDRMSE_meanFP_meanFN_meanOOB_mean
    75 500 500 0.9 1.0 0.14 0.17 ( 0 ) 21.38 ( 0.6 ) 3 ( 0.07 ) 0.99 ( 0 ) 24.38 0.87 0.17 21.3 0.00 0.99
    761000 500 0.9 0.5 0.20 0.16 ( 0 ) 18.68 ( 0.53 )2.35 ( 0.06 ) 0.96 ( 0 ) 22.33 0.83 0.16 18.6 2.35 0.96
    77 50 1000 0.9 20.0 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1.11 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.11
    78 100 1000 0.9 10.0 0.01 0.2 ( 0.01 ) 49.91 ( 0.83 )4.99 ( 0.09 ) 1.09 ( 0.01 ) 50.92 0.98 0.20 49.9 4.99 1.09
    79 500 1000 0.9 2.0 0.06 0.19 ( 0 ) 46.34 ( 0.86 )3.13 ( 0.08 ) 1.04 ( 0 ) 49.21 0.94 0.19 46.3 3.13 1.04
    801000 1000 0.9 1.0 0.09 0.18 ( 0 ) 43.52 ( 0.89 )2.7 ( 0.07 ) 1.02 ( 0 ) 46.82 0.93 0.18 43.5 2.70 1.02
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t75 & 500 & 500 & 0.9 & 1.0 & 0.14 & 0.17 ( 0 ) & 21.38 ( 0.6 ) & 3 ( 0.07 ) & 0.99 ( 0 ) & 24.38 & 0.87 & 0.17 & 21.3 & 0.00 & 0.99 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.5 & 0.20 & 0.16 ( 0 ) & 18.68 ( 0.53 ) & 2.35 ( 0.06 ) & 0.96 ( 0 ) & 22.33 & 0.83 & 0.16 & 18.6 & 2.35 & 0.96 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.00 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.11 ( 0.01 ) & 0.00 & NaN & 0.29 & 1.0 & 6.00 & 1.11 \\\\\n", + "\t78 & 100 & 1000 & 0.9 & 10.0 & 0.01 & 0.2 ( 0.01 ) & 49.91 ( 0.83 ) & 4.99 ( 0.09 ) & 1.09 ( 0.01 ) & 50.92 & 0.98 & 0.20 & 49.9 & 4.99 & 1.09 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.0 & 0.06 & 0.19 ( 0 ) & 46.34 ( 0.86 ) & 3.13 ( 0.08 ) & 1.04 ( 0 ) & 49.21 & 0.94 & 0.19 & 46.3 & 3.13 & 1.04 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.0 & 0.09 & 0.18 ( 0 ) & 43.52 ( 0.89 ) & 2.7 ( 0.07 ) & 1.02 ( 0 ) & 46.82 & 0.93 & 0.18 & 43.5 & 2.70 & 1.02 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | num_select | FDR | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 75 | 500 | 500 | 0.9 | 1.0 | 0.14 | 0.17 ( 0 ) | 21.38 ( 0.6 ) | 3 ( 0.07 ) | 0.99 ( 0 ) | 24.38 | 0.87 | 0.17 | 21.3 | 0.00 | 0.99 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.5 | 0.20 | 0.16 ( 0 ) | 18.68 ( 0.53 ) | 2.35 ( 0.06 ) | 0.96 ( 0 ) | 22.33 | 0.83 | 0.16 | 18.6 | 2.35 | 0.96 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.00 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.11 ( 0.01 ) | 0.00 | NaN | 0.29 | 1.0 | 6.00 | 1.11 |\n", + "| 78 | 100 | 1000 | 0.9 | 10.0 | 0.01 | 0.2 ( 0.01 ) | 49.91 ( 0.83 ) | 4.99 ( 0.09 ) | 1.09 ( 0.01 ) | 50.92 | 0.98 | 0.20 | 49.9 | 4.99 | 1.09 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.0 | 0.06 | 0.19 ( 0 ) | 46.34 ( 0.86 ) | 3.13 ( 0.08 ) | 1.04 ( 0 ) | 49.21 | 0.94 | 0.19 | 46.3 | 3.13 | 1.04 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.0 | 0.09 | 0.18 ( 0 ) | 43.52 ( 0.89 ) | 2.7 ( 0.07 ) | 1.02 ( 0 ) | 46.82 | 0.93 | 0.18 | 43.5 | 2.70 | 1.02 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "75 500 500 0.9 1.0 0.14 0.17 ( 0 ) 21.38 ( 0.6 ) 3 ( 0.07 ) \n", + "76 1000 500 0.9 0.5 0.20 0.16 ( 0 ) 18.68 ( 0.53 ) 2.35 ( 0.06 )\n", + "77 50 1000 0.9 20.0 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "78 100 1000 0.9 10.0 0.01 0.2 ( 0.01 ) 49.91 ( 0.83 ) 4.99 ( 0.09 )\n", + "79 500 1000 0.9 2.0 0.06 0.19 ( 0 ) 46.34 ( 0.86 ) 3.13 ( 0.08 )\n", + "80 1000 1000 0.9 1.0 0.09 0.18 ( 0 ) 43.52 ( 0.89 ) 2.7 ( 0.07 ) \n", + " OOB num_select FDR MSE_mean FP_mean FN_mean OOB_mean\n", + "75 0.99 ( 0 ) 24.38 0.87 0.17 21.3 0.00 0.99 \n", + "76 0.96 ( 0 ) 22.33 0.83 0.16 18.6 2.35 0.96 \n", + "77 1.11 ( 0.01 ) 0.00 NaN 0.29 1.0 6.00 1.11 \n", + "78 1.09 ( 0.01 ) 50.92 0.98 0.20 49.9 4.99 1.09 \n", + "79 1.04 ( 0 ) 49.21 0.94 0.19 46.3 3.13 1.04 \n", + "80 1.02 ( 0 ) 46.82 0.93 0.18 43.5 2.70 1.02 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tail(result.table_toe)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "## export\n", + "write.table(result.table_toe, '../results_summary/sim_toe_rf.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Registered S3 methods overwritten by 'ggplot2':\n", + " method from \n", + " [.quosures rlang\n", + " c.quosures rlang\n", + " print.quosures rlang\n", + "Loading required package: magrittr\n", + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_toe_rf.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_toe$N = as.factor(result.table_toe$N)\n", + "fig_toe_stab = ggplot(result.table_toe, aes(x=P, y=Stab, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('Stability')\n", + "\n", + "fig_toe_mse = ggplot(result.table_toe, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('MSE')\n", + "\n", + "fig_toe_fp = ggplot(result.table_toe, aes(x=P, y=FP_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Positives')\n", + "\n", + "fig_toe_fn = ggplot(result.table_toe, aes(x=P, y=FN_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position = \"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_toe_stab, fig_toe_mse, fig_toe_fp, fig_toe_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"right\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Toeplitz_RandomForests\"))\n", + "ggexport(fig, filename = \"../figures_sim/figure_toe_rf.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”Warning message:\n", + "“Using size for a discrete variable is not advised.”Warning message:\n", + "“Using alpha for a discrete variable is not advised.”file saved to ../figures_sim/figure_toe_rf_OOB_MSE.pdf\n" + ] + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "result.table_toe$N = as.factor(result.table_toe$N)\n", + "fig_toe_oob = ggplot(result.table_toe, aes(x=P, y=OOB_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4))\n", + "\n", + "fig_toe_mse = ggplot(result.table_toe, aes(x=P, y=MSE_mean, color=N)) + \n", + " geom_point(aes(size = Corr, alpha=Corr)) + theme(legend.position=\"none\") +\n", + " scale_size_discrete(range = c(1,4)) + scale_alpha_discrete(range = c(1, 0.4))\n", + "fig_oob_mse = ggarrange(fig_toe_oob, fig_toe_mse, ncol=2, nrow=1, common.legend = TRUE, legend=\"right\") \n", + "fig_oob_mse = annotate_figure(fig_oob_mse, top = text_grob(\"Toeplitz_RandomForests_OOB_MSE\"))\n", + "ggexport(fig_oob_mse, filename = \"../figures_sim/figure_toe_rf_OOB_MSE.pdf\", height=6, width=6)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + 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    NPCorrRatioStabMSEFPFNOOBMSE_meanFP_meanFN_meanOOB_mean
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    3350 50 0.5 1.0 0.00 0.99 ( 0.05 )1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 )0.99 1.00 0.00 1.68
    4950 50 0.7 1.0 0.00 0.66 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.44 ( 0.01 )0.66 1.00 0.00 1.44
    6550 50 0.9 1.0 0.00 0.27 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0.96 ( 0.01 )0.27 1.00 0.00 0.96
    550 100 0.1 2.0 0.00 1.36 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.19 ( 0.02 )1.36 1.00 0.00 2.19
    2150 100 0.3 2.0 0.00 1.15 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.03 ( 0.02 )1.15 1.00 0.00 2.03
    3750 100 0.5 2.0 0.00 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 1.84 ( 0.02 )0.91 1.00 0.00 1.84
    5350 100 0.7 2.0 0.00 0.67 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.5 ( 0.02 ) 0.67 1.00 0.00 1.50
    6950 100 0.9 2.0 0.00 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 1 ( 0.01 ) 0.30 1.00 0.00 1.00
    950 500 0.1 10.0 0.00 1.29 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.39 ( 0.02 )1.29 1.00 0.00 2.39
    2550 500 0.3 10.0 0.00 1.14 ( 0.05 )1 ( 0 ) 6 ( 0 ) 2.24 ( 0.02 )1.14 1.00 0.00 2.24
    4150 500 0.5 10.0 0.00 0.95 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 )0.95 1.00 0.00 2.04
    5750 500 0.7 10.0 0.00 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 1.68 ( 0.02 )0.70 1.00 0.00 1.68
    7350 500 0.9 10.0 0.00 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.1 ( 0.01 ) 0.29 1.00 0.00 1.10
    1350 1000 0.1 20.0 0.00 1.35 ( 0.06 )1 ( 0 ) 6 ( 0 ) 2.42 ( 0.02 )1.35 1.00 0.00 2.42
    2950 1000 0.3 20.0 0.00 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 2.29 ( 0.02 )1.20 1.00 0.00 2.29
    4550 1000 0.5 20.0 0.00 0.94 ( 0.04 )1 ( 0 ) 6 ( 0 ) 2.04 ( 0.02 )0.94 1.00 0.00 2.04
    6150 1000 0.7 20.0 0.00 0.74 ( 0.03 )1 ( 0 ) 6 ( 0 ) 1.69 ( 0.02 )0.74 1.00 0.00 1.69
    7750 1000 0.9 20.0 0.00 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 1.11 ( 0.01 )0.29 1.00 0.00 1.11
    2100 50 0.1 0.5 0.19 0.86 ( 0.03 )1.87 ( 0.14 )4.25 ( 0.09 )1.76 ( 0.01 )0.86 1.87 4.25 1.76
    18100 50 0.3 0.5 0.23 0.77 ( 0.02 )1.72 ( 0.11 )4.4 ( 0.08 ) 1.65 ( 0.01 )0.77 1.72 4.40 1.65
    34100 50 0.5 0.5 0.24 0.62 ( 0.02 )1.74 ( 0.13 )4.39 ( 0.08 )1.5 ( 0.01 ) 0.62 1.74 4.39 1.50
    50100 50 0.7 0.5 0.28 0.44 ( 0.01 )1.84 ( 0.14 )4.44 ( 0.08 )1.26 ( 0.01 )0.44 1.84 4.44 1.26
    66100 50 0.9 0.5 0.19 0.19 ( 0.01 )2.14 ( 0.17 )4.84 ( 0.08 )0.89 ( 0.01 )0.19 2.14 4.84 0.89
    6100 100 0.1 1.0 0.12 0.93 ( 0.03 )4.11 ( 0.18 )4.17 ( 0.1 ) 1.99 ( 0.01 )0.93 4.11 4.17 1.99
    22100 100 0.3 1.0 0.15 0.81 ( 0.02 )3.77 ( 0.16 )4.28 ( 0.07 )1.87 ( 0.01 )0.81 3.77 4.28 1.87
    38100 100 0.5 1.0 0.15 0.68 ( 0.02 )3.72 ( 0.19 )4.42 ( 0.08 )1.69 ( 0.01 )0.68 3.72 4.42 1.69
    54100 100 0.7 1.0 0.14 0.47 ( 0.01 )4.64 ( 0.25 )4.32 ( 0.09 )1.4 ( 0.01 ) 0.47 4.64 4.32 1.40
    70100 100 0.9 1.0 0.16 0.19 ( 0.01 )4.23 ( 0.22 )4.48 ( 0.09 )0.98 ( 0.01 )0.19 4.23 4.48 0.98
    ..........................................
    11500 500 0.1 1.00 0.13 0.84 ( 0.01 ) 20.8 ( 0.48 ) 1.79 ( 0.1 ) 2.12 ( 0.01 ) 0.84 20.80 1.79 2.12
    27500 500 0.3 1.00 0.12 0.73 ( 0.01 ) 20.86 ( 0.41 )2.1 ( 0.09 ) 1.99 ( 0.01 ) 0.73 20.80 2.10 1.99
    43500 500 0.5 1.00 0.13 0.58 ( 0.01 ) 20.66 ( 0.49 )2.51 ( 0.07 ) 1.79 ( 0.01 ) 0.58 20.60 2.51 1.79
    59500 500 0.7 1.00 0.13 0.4 ( 0 ) 21.21 ( 0.55 )2.97 ( 0.08 ) 1.49 ( 0 ) 0.40 21.20 2.97 1.49
    75500 500 0.9 1.00 0.14 0.17 ( 0 ) 21.38 ( 0.6 ) 3 ( 0.07 ) 0.99 ( 0 ) 0.17 21.30 0.00 0.99
    15500 1000 0.1 2.00 0.06 0.87 ( 0.01 ) 46.19 ( 0.64 )1.97 ( 0.09 ) 2.25 ( 0.01 ) 0.87 46.10 1.97 2.25
    31500 1000 0.3 2.00 0.05 0.78 ( 0.01 ) 44.58 ( 0.68 )2.48 ( 0.09 ) 2.13 ( 0.01 ) 0.78 44.50 2.48 2.13
    47500 1000 0.5 2.00 0.05 0.65 ( 0.01 ) 46.07 ( 0.71 )2.83 ( 0.09 ) 1.93 ( 0.01 ) 0.65 46.00 2.83 1.93
    63500 1000 0.7 2.00 0.07 0.44 ( 0 ) 45.41 ( 0.68 )3.02 ( 0.07 ) 1.59 ( 0.01 ) 0.44 45.40 3.02 1.59
    79500 1000 0.9 2.00 0.06 0.19 ( 0 ) 46.34 ( 0.86 )3.13 ( 0.08 ) 1.04 ( 0 ) 0.19 46.30 3.13 1.04
    41000 50 0.1 0.05 0.86 0.34 ( 0 ) 0.15 ( 0.04 ) 0.93 ( 0.07 ) 1.15 ( 0 ) 0.34 0.15 0.93 1.15
    201000 50 0.3 0.05 0.82 0.31 ( 0 ) 0.3 ( 0.05 ) 1.19 ( 0.08 ) 1.1 ( 0 ) 0.31 0.30 1.19 1.10
    361000 50 0.5 0.05 0.78 0.26 ( 0 ) 0.91 ( 0.07 ) 1.71 ( 0.07 ) 1.03 ( 0 ) 0.26 0.91 1.71 1.03
    521000 50 0.7 0.05 0.85 0.19 ( 0 ) 1.57 ( 0.07 ) 2.29 ( 0.06 ) 0.9 ( 0 ) 0.19 1.57 2.29 0.90
    681000 50 0.9 0.05 0.85 0.1 ( 0 ) 1.5 ( 0.07 ) 2.46 ( 0.06 ) 0.7 ( 0 ) 0.10 1.50 2.46 0.70
    81000 100 0.1 0.10 0.74 0.45 ( 0 ) 1.11 ( 0.1 ) 0.74 ( 0.07 ) 1.37 ( 0 ) 0.45 1.11 0.74 1.37
    241000 100 0.3 0.10 0.75 0.41 ( 0 ) 1.4 ( 0.1 ) 0.76 ( 0.07 ) 1.31 ( 0 ) 0.41 1.40 0.76 1.31
    401000 100 0.5 0.10 0.76 0.34 ( 0 ) 2.09 ( 0.1 ) 1.08 ( 0.07 ) 1.2 ( 0 ) 0.34 2.09 1.08 1.20
    561000 100 0.7 0.10 0.80 0.25 ( 0 ) 2.42 ( 0.1 ) 1.76 ( 0.05 ) 1.05 ( 0 ) 0.25 2.42 1.76 1.05
    721000 100 0.9 0.10 0.80 0.12 ( 0 ) 2.42 ( 0.11 ) 1.89 ( 0.05 ) 0.78 ( 0 ) 0.12 2.42 1.89 0.78
    121000 500 0.1 0.50 0.18 0.76 ( 0.01 ) 18.72 ( 0.37 )0.91 ( 0.07 ) 2.02 ( 0 ) 0.76 18.70 0.91 2.02
    281000 500 0.3 0.50 0.19 0.68 ( 0.01 ) 18.71 ( 0.45 )1.13 ( 0.08 ) 1.91 ( 0 ) 0.68 18.70 1.13 1.91
    441000 500 0.5 0.50 0.20 0.55 ( 0 ) 18.4 ( 0.44 ) 1.77 ( 0.07 ) 1.72 ( 0 ) 0.55 18.40 1.77 1.72
    601000 500 0.7 0.50 0.21 0.38 ( 0 ) 17.4 ( 0.46 ) 1.98 ( 0.07 ) 1.43 ( 0 ) 0.38 17.40 1.98 1.43
    761000 500 0.9 0.50 0.20 0.16 ( 0 ) 18.68 ( 0.53 )2.35 ( 0.06 ) 0.96 ( 0 ) 0.16 18.60 2.35 0.96
    161000 1000 0.1 1.00 0.09 0.85 ( 0.01 ) 40.92 ( 0.66 )0.98 ( 0.07 ) 2.21 ( 0 ) 0.85 40.90 0.98 2.21
    321000 1000 0.3 1.00 0.08 0.74 ( 0.01 ) 42.87 ( 0.73 )1.44 ( 0.09 ) 2.07 ( 0 ) 0.74 42.80 1.44 2.07
    481000 1000 0.5 1.00 0.09 0.61 ( 0.01 ) 41.21 ( 0.68 )1.84 ( 0.08 ) 1.87 ( 0 ) 0.61 41.20 1.84 1.87
    641000 1000 0.7 1.00 0.09 0.42 ( 0 ) 42.15 ( 0.71 )2.37 ( 0.07 ) 1.56 ( 0 ) 0.42 42.10 2.37 1.56
    801000 1000 0.9 1.00 0.09 0.18 ( 0 ) 43.52 ( 0.89 )2.7 ( 0.07 ) 1.02 ( 0 ) 0.18 43.50 2.70 1.02
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & OOB & MSE\\_mean & FP\\_mean & FN\\_mean & OOB\\_mean\\\\\n", + "\\hline\n", + "\t1 & 50 & 50 & 0.1 & 1.0 & 0.00 & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 1.98 ( 0.02 ) & 1.40 & 1.00 & 0.00 & 1.98 \\\\\n", + "\t17 & 50 & 50 & 0.3 & 1.0 & 0.00 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.87 ( 0.02 ) & 1.22 & 1.00 & 0.00 & 1.87 \\\\\n", + "\t33 & 50 & 50 & 0.5 & 1.0 & 0.00 & 0.99 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.99 & 1.00 & 0.00 & 1.68 \\\\\n", + "\t49 & 50 & 50 & 0.7 & 1.0 & 0.00 & 0.66 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.44 ( 0.01 ) & 0.66 & 1.00 & 0.00 & 1.44 \\\\\n", + "\t65 & 50 & 50 & 0.9 & 1.0 & 0.00 & 0.27 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0.96 ( 0.01 ) & 0.27 & 1.00 & 0.00 & 0.96 \\\\\n", + "\t5 & 50 & 100 & 0.1 & 2.0 & 0.00 & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.19 ( 0.02 ) & 1.36 & 1.00 & 0.00 & 2.19 \\\\\n", + "\t21 & 50 & 100 & 0.3 & 2.0 & 0.00 & 1.15 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.03 ( 0.02 ) & 1.15 & 1.00 & 0.00 & 2.03 \\\\\n", + "\t37 & 50 & 100 & 0.5 & 2.0 & 0.00 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 1.84 ( 0.02 ) & 0.91 & 1.00 & 0.00 & 1.84 \\\\\n", + "\t53 & 50 & 100 & 0.7 & 2.0 & 0.00 & 0.67 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.5 ( 0.02 ) & 0.67 & 1.00 & 0.00 & 1.50 \\\\\n", + "\t69 & 50 & 100 & 0.9 & 2.0 & 0.00 & 0.3 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1 ( 0.01 ) & 0.30 & 1.00 & 0.00 & 1.00 \\\\\n", + "\t9 & 50 & 500 & 0.1 & 10.0 & 0.00 & 1.29 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.39 ( 0.02 ) & 1.29 & 1.00 & 0.00 & 2.39 \\\\\n", + "\t25 & 50 & 500 & 0.3 & 10.0 & 0.00 & 1.14 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.24 ( 0.02 ) & 1.14 & 1.00 & 0.00 & 2.24 \\\\\n", + "\t41 & 50 & 500 & 0.5 & 10.0 & 0.00 & 0.95 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.95 & 1.00 & 0.00 & 2.04 \\\\\n", + "\t57 & 50 & 500 & 0.7 & 10.0 & 0.00 & 0.7 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.68 ( 0.02 ) & 0.70 & 1.00 & 0.00 & 1.68 \\\\\n", + "\t73 & 50 & 500 & 0.9 & 10.0 & 0.00 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.1 ( 0.01 ) & 0.29 & 1.00 & 0.00 & 1.10 \\\\\n", + "\t13 & 50 & 1000 & 0.1 & 20.0 & 0.00 & 1.35 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 2.42 ( 0.02 ) & 1.35 & 1.00 & 0.00 & 2.42 \\\\\n", + "\t29 & 50 & 1000 & 0.3 & 20.0 & 0.00 & 1.2 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 2.29 ( 0.02 ) & 1.20 & 1.00 & 0.00 & 2.29 \\\\\n", + "\t45 & 50 & 1000 & 0.5 & 20.0 & 0.00 & 0.94 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 2.04 ( 0.02 ) & 0.94 & 1.00 & 0.00 & 2.04 \\\\\n", + "\t61 & 50 & 1000 & 0.7 & 20.0 & 0.00 & 0.74 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 1.69 ( 0.02 ) & 0.74 & 1.00 & 0.00 & 1.69 \\\\\n", + "\t77 & 50 & 1000 & 0.9 & 20.0 & 0.00 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 1.11 ( 0.01 ) & 0.29 & 1.00 & 0.00 & 1.11 \\\\\n", + "\t2 & 100 & 50 & 0.1 & 0.5 & 0.19 & 0.86 ( 0.03 ) & 1.87 ( 0.14 ) & 4.25 ( 0.09 ) & 1.76 ( 0.01 ) & 0.86 & 1.87 & 4.25 & 1.76 \\\\\n", + "\t18 & 100 & 50 & 0.3 & 0.5 & 0.23 & 0.77 ( 0.02 ) & 1.72 ( 0.11 ) & 4.4 ( 0.08 ) & 1.65 ( 0.01 ) & 0.77 & 1.72 & 4.40 & 1.65 \\\\\n", + "\t34 & 100 & 50 & 0.5 & 0.5 & 0.24 & 0.62 ( 0.02 ) & 1.74 ( 0.13 ) & 4.39 ( 0.08 ) & 1.5 ( 0.01 ) & 0.62 & 1.74 & 4.39 & 1.50 \\\\\n", + "\t50 & 100 & 50 & 0.7 & 0.5 & 0.28 & 0.44 ( 0.01 ) & 1.84 ( 0.14 ) & 4.44 ( 0.08 ) & 1.26 ( 0.01 ) & 0.44 & 1.84 & 4.44 & 1.26 \\\\\n", + "\t66 & 100 & 50 & 0.9 & 0.5 & 0.19 & 0.19 ( 0.01 ) & 2.14 ( 0.17 ) & 4.84 ( 0.08 ) & 0.89 ( 0.01 ) & 0.19 & 2.14 & 4.84 & 0.89 \\\\\n", + "\t6 & 100 & 100 & 0.1 & 1.0 & 0.12 & 0.93 ( 0.03 ) & 4.11 ( 0.18 ) & 4.17 ( 0.1 ) & 1.99 ( 0.01 ) & 0.93 & 4.11 & 4.17 & 1.99 \\\\\n", + "\t22 & 100 & 100 & 0.3 & 1.0 & 0.15 & 0.81 ( 0.02 ) & 3.77 ( 0.16 ) & 4.28 ( 0.07 ) & 1.87 ( 0.01 ) & 0.81 & 3.77 & 4.28 & 1.87 \\\\\n", + "\t38 & 100 & 100 & 0.5 & 1.0 & 0.15 & 0.68 ( 0.02 ) & 3.72 ( 0.19 ) & 4.42 ( 0.08 ) & 1.69 ( 0.01 ) & 0.68 & 3.72 & 4.42 & 1.69 \\\\\n", + "\t54 & 100 & 100 & 0.7 & 1.0 & 0.14 & 0.47 ( 0.01 ) & 4.64 ( 0.25 ) & 4.32 ( 0.09 ) & 1.4 ( 0.01 ) & 0.47 & 4.64 & 4.32 & 1.40 \\\\\n", + "\t70 & 100 & 100 & 0.9 & 1.0 & 0.16 & 0.19 ( 0.01 ) & 4.23 ( 0.22 ) & 4.48 ( 0.09 ) & 0.98 ( 0.01 ) & 0.19 & 4.23 & 4.48 & 0.98 \\\\\n", + "\t... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ... & ...\\\\\n", + "\t11 & 500 & 500 & 0.1 & 1.00 & 0.13 & 0.84 ( 0.01 ) & 20.8 ( 0.48 ) & 1.79 ( 0.1 ) & 2.12 ( 0.01 ) & 0.84 & 20.80 & 1.79 & 2.12 \\\\\n", + "\t27 & 500 & 500 & 0.3 & 1.00 & 0.12 & 0.73 ( 0.01 ) & 20.86 ( 0.41 ) & 2.1 ( 0.09 ) & 1.99 ( 0.01 ) & 0.73 & 20.80 & 2.10 & 1.99 \\\\\n", + "\t43 & 500 & 500 & 0.5 & 1.00 & 0.13 & 0.58 ( 0.01 ) & 20.66 ( 0.49 ) & 2.51 ( 0.07 ) & 1.79 ( 0.01 ) & 0.58 & 20.60 & 2.51 & 1.79 \\\\\n", + "\t59 & 500 & 500 & 0.7 & 1.00 & 0.13 & 0.4 ( 0 ) & 21.21 ( 0.55 ) & 2.97 ( 0.08 ) & 1.49 ( 0 ) & 0.40 & 21.20 & 2.97 & 1.49 \\\\\n", + "\t75 & 500 & 500 & 0.9 & 1.00 & 0.14 & 0.17 ( 0 ) & 21.38 ( 0.6 ) & 3 ( 0.07 ) & 0.99 ( 0 ) & 0.17 & 21.30 & 0.00 & 0.99 \\\\\n", + "\t15 & 500 & 1000 & 0.1 & 2.00 & 0.06 & 0.87 ( 0.01 ) & 46.19 ( 0.64 ) & 1.97 ( 0.09 ) & 2.25 ( 0.01 ) & 0.87 & 46.10 & 1.97 & 2.25 \\\\\n", + "\t31 & 500 & 1000 & 0.3 & 2.00 & 0.05 & 0.78 ( 0.01 ) & 44.58 ( 0.68 ) & 2.48 ( 0.09 ) & 2.13 ( 0.01 ) & 0.78 & 44.50 & 2.48 & 2.13 \\\\\n", + "\t47 & 500 & 1000 & 0.5 & 2.00 & 0.05 & 0.65 ( 0.01 ) & 46.07 ( 0.71 ) & 2.83 ( 0.09 ) & 1.93 ( 0.01 ) & 0.65 & 46.00 & 2.83 & 1.93 \\\\\n", + "\t63 & 500 & 1000 & 0.7 & 2.00 & 0.07 & 0.44 ( 0 ) & 45.41 ( 0.68 ) & 3.02 ( 0.07 ) & 1.59 ( 0.01 ) & 0.44 & 45.40 & 3.02 & 1.59 \\\\\n", + "\t79 & 500 & 1000 & 0.9 & 2.00 & 0.06 & 0.19 ( 0 ) & 46.34 ( 0.86 ) & 3.13 ( 0.08 ) & 1.04 ( 0 ) & 0.19 & 46.30 & 3.13 & 1.04 \\\\\n", + "\t4 & 1000 & 50 & 0.1 & 0.05 & 0.86 & 0.34 ( 0 ) & 0.15 ( 0.04 ) & 0.93 ( 0.07 ) & 1.15 ( 0 ) & 0.34 & 0.15 & 0.93 & 1.15 \\\\\n", + "\t20 & 1000 & 50 & 0.3 & 0.05 & 0.82 & 0.31 ( 0 ) & 0.3 ( 0.05 ) & 1.19 ( 0.08 ) & 1.1 ( 0 ) & 0.31 & 0.30 & 1.19 & 1.10 \\\\\n", + "\t36 & 1000 & 50 & 0.5 & 0.05 & 0.78 & 0.26 ( 0 ) & 0.91 ( 0.07 ) & 1.71 ( 0.07 ) & 1.03 ( 0 ) & 0.26 & 0.91 & 1.71 & 1.03 \\\\\n", + "\t52 & 1000 & 50 & 0.7 & 0.05 & 0.85 & 0.19 ( 0 ) & 1.57 ( 0.07 ) & 2.29 ( 0.06 ) & 0.9 ( 0 ) & 0.19 & 1.57 & 2.29 & 0.90 \\\\\n", + "\t68 & 1000 & 50 & 0.9 & 0.05 & 0.85 & 0.1 ( 0 ) & 1.5 ( 0.07 ) & 2.46 ( 0.06 ) & 0.7 ( 0 ) & 0.10 & 1.50 & 2.46 & 0.70 \\\\\n", + "\t8 & 1000 & 100 & 0.1 & 0.10 & 0.74 & 0.45 ( 0 ) & 1.11 ( 0.1 ) & 0.74 ( 0.07 ) & 1.37 ( 0 ) & 0.45 & 1.11 & 0.74 & 1.37 \\\\\n", + "\t24 & 1000 & 100 & 0.3 & 0.10 & 0.75 & 0.41 ( 0 ) & 1.4 ( 0.1 ) & 0.76 ( 0.07 ) & 1.31 ( 0 ) & 0.41 & 1.40 & 0.76 & 1.31 \\\\\n", + "\t40 & 1000 & 100 & 0.5 & 0.10 & 0.76 & 0.34 ( 0 ) & 2.09 ( 0.1 ) & 1.08 ( 0.07 ) & 1.2 ( 0 ) & 0.34 & 2.09 & 1.08 & 1.20 \\\\\n", + "\t56 & 1000 & 100 & 0.7 & 0.10 & 0.80 & 0.25 ( 0 ) & 2.42 ( 0.1 ) & 1.76 ( 0.05 ) & 1.05 ( 0 ) & 0.25 & 2.42 & 1.76 & 1.05 \\\\\n", + "\t72 & 1000 & 100 & 0.9 & 0.10 & 0.80 & 0.12 ( 0 ) & 2.42 ( 0.11 ) & 1.89 ( 0.05 ) & 0.78 ( 0 ) & 0.12 & 2.42 & 1.89 & 0.78 \\\\\n", + "\t12 & 1000 & 500 & 0.1 & 0.50 & 0.18 & 0.76 ( 0.01 ) & 18.72 ( 0.37 ) & 0.91 ( 0.07 ) & 2.02 ( 0 ) & 0.76 & 18.70 & 0.91 & 2.02 \\\\\n", + "\t28 & 1000 & 500 & 0.3 & 0.50 & 0.19 & 0.68 ( 0.01 ) & 18.71 ( 0.45 ) & 1.13 ( 0.08 ) & 1.91 ( 0 ) & 0.68 & 18.70 & 1.13 & 1.91 \\\\\n", + "\t44 & 1000 & 500 & 0.5 & 0.50 & 0.20 & 0.55 ( 0 ) & 18.4 ( 0.44 ) & 1.77 ( 0.07 ) & 1.72 ( 0 ) & 0.55 & 18.40 & 1.77 & 1.72 \\\\\n", + "\t60 & 1000 & 500 & 0.7 & 0.50 & 0.21 & 0.38 ( 0 ) & 17.4 ( 0.46 ) & 1.98 ( 0.07 ) & 1.43 ( 0 ) & 0.38 & 17.40 & 1.98 & 1.43 \\\\\n", + "\t76 & 1000 & 500 & 0.9 & 0.50 & 0.20 & 0.16 ( 0 ) & 18.68 ( 0.53 ) & 2.35 ( 0.06 ) & 0.96 ( 0 ) & 0.16 & 18.60 & 2.35 & 0.96 \\\\\n", + "\t16 & 1000 & 1000 & 0.1 & 1.00 & 0.09 & 0.85 ( 0.01 ) & 40.92 ( 0.66 ) & 0.98 ( 0.07 ) & 2.21 ( 0 ) & 0.85 & 40.90 & 0.98 & 2.21 \\\\\n", + "\t32 & 1000 & 1000 & 0.3 & 1.00 & 0.08 & 0.74 ( 0.01 ) & 42.87 ( 0.73 ) & 1.44 ( 0.09 ) & 2.07 ( 0 ) & 0.74 & 42.80 & 1.44 & 2.07 \\\\\n", + "\t48 & 1000 & 1000 & 0.5 & 1.00 & 0.09 & 0.61 ( 0.01 ) & 41.21 ( 0.68 ) & 1.84 ( 0.08 ) & 1.87 ( 0 ) & 0.61 & 41.20 & 1.84 & 1.87 \\\\\n", + "\t64 & 1000 & 1000 & 0.7 & 1.00 & 0.09 & 0.42 ( 0 ) & 42.15 ( 0.71 ) & 2.37 ( 0.07 ) & 1.56 ( 0 ) & 0.42 & 42.10 & 2.37 & 1.56 \\\\\n", + "\t80 & 1000 & 1000 & 0.9 & 1.00 & 0.09 & 0.18 ( 0 ) & 43.52 ( 0.89 ) & 2.7 ( 0.07 ) & 1.02 ( 0 ) & 0.18 & 43.50 & 2.70 & 1.02 \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | OOB | MSE_mean | FP_mean | FN_mean | OOB_mean |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 1 | 50 | 50 | 0.1 | 1.0 | 0.00 | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 1.98 ( 0.02 ) | 1.40 | 1.00 | 0.00 | 1.98 |\n", + "| 17 | 50 | 50 | 0.3 | 1.0 | 0.00 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.87 ( 0.02 ) | 1.22 | 1.00 | 0.00 | 1.87 |\n", + "| 33 | 50 | 50 | 0.5 | 1.0 | 0.00 | 0.99 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.99 | 1.00 | 0.00 | 1.68 |\n", + "| 49 | 50 | 50 | 0.7 | 1.0 | 0.00 | 0.66 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.44 ( 0.01 ) | 0.66 | 1.00 | 0.00 | 1.44 |\n", + "| 65 | 50 | 50 | 0.9 | 1.0 | 0.00 | 0.27 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0.96 ( 0.01 ) | 0.27 | 1.00 | 0.00 | 0.96 |\n", + "| 5 | 50 | 100 | 0.1 | 2.0 | 0.00 | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.19 ( 0.02 ) | 1.36 | 1.00 | 0.00 | 2.19 |\n", + "| 21 | 50 | 100 | 0.3 | 2.0 | 0.00 | 1.15 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.03 ( 0.02 ) | 1.15 | 1.00 | 0.00 | 2.03 |\n", + "| 37 | 50 | 100 | 0.5 | 2.0 | 0.00 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 1.84 ( 0.02 ) | 0.91 | 1.00 | 0.00 | 1.84 |\n", + "| 53 | 50 | 100 | 0.7 | 2.0 | 0.00 | 0.67 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.5 ( 0.02 ) | 0.67 | 1.00 | 0.00 | 1.50 |\n", + "| 69 | 50 | 100 | 0.9 | 2.0 | 0.00 | 0.3 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1 ( 0.01 ) | 0.30 | 1.00 | 0.00 | 1.00 |\n", + "| 9 | 50 | 500 | 0.1 | 10.0 | 0.00 | 1.29 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.39 ( 0.02 ) | 1.29 | 1.00 | 0.00 | 2.39 |\n", + "| 25 | 50 | 500 | 0.3 | 10.0 | 0.00 | 1.14 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.24 ( 0.02 ) | 1.14 | 1.00 | 0.00 | 2.24 |\n", + "| 41 | 50 | 500 | 0.5 | 10.0 | 0.00 | 0.95 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.95 | 1.00 | 0.00 | 2.04 |\n", + "| 57 | 50 | 500 | 0.7 | 10.0 | 0.00 | 0.7 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.68 ( 0.02 ) | 0.70 | 1.00 | 0.00 | 1.68 |\n", + "| 73 | 50 | 500 | 0.9 | 10.0 | 0.00 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.1 ( 0.01 ) | 0.29 | 1.00 | 0.00 | 1.10 |\n", + "| 13 | 50 | 1000 | 0.1 | 20.0 | 0.00 | 1.35 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 2.42 ( 0.02 ) | 1.35 | 1.00 | 0.00 | 2.42 |\n", + "| 29 | 50 | 1000 | 0.3 | 20.0 | 0.00 | 1.2 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 2.29 ( 0.02 ) | 1.20 | 1.00 | 0.00 | 2.29 |\n", + "| 45 | 50 | 1000 | 0.5 | 20.0 | 0.00 | 0.94 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 2.04 ( 0.02 ) | 0.94 | 1.00 | 0.00 | 2.04 |\n", + "| 61 | 50 | 1000 | 0.7 | 20.0 | 0.00 | 0.74 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 1.69 ( 0.02 ) | 0.74 | 1.00 | 0.00 | 1.69 |\n", + "| 77 | 50 | 1000 | 0.9 | 20.0 | 0.00 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 1.11 ( 0.01 ) | 0.29 | 1.00 | 0.00 | 1.11 |\n", + "| 2 | 100 | 50 | 0.1 | 0.5 | 0.19 | 0.86 ( 0.03 ) | 1.87 ( 0.14 ) | 4.25 ( 0.09 ) | 1.76 ( 0.01 ) | 0.86 | 1.87 | 4.25 | 1.76 |\n", + "| 18 | 100 | 50 | 0.3 | 0.5 | 0.23 | 0.77 ( 0.02 ) | 1.72 ( 0.11 ) | 4.4 ( 0.08 ) | 1.65 ( 0.01 ) | 0.77 | 1.72 | 4.40 | 1.65 |\n", + "| 34 | 100 | 50 | 0.5 | 0.5 | 0.24 | 0.62 ( 0.02 ) | 1.74 ( 0.13 ) | 4.39 ( 0.08 ) | 1.5 ( 0.01 ) | 0.62 | 1.74 | 4.39 | 1.50 |\n", + "| 50 | 100 | 50 | 0.7 | 0.5 | 0.28 | 0.44 ( 0.01 ) | 1.84 ( 0.14 ) | 4.44 ( 0.08 ) | 1.26 ( 0.01 ) | 0.44 | 1.84 | 4.44 | 1.26 |\n", + "| 66 | 100 | 50 | 0.9 | 0.5 | 0.19 | 0.19 ( 0.01 ) | 2.14 ( 0.17 ) | 4.84 ( 0.08 ) | 0.89 ( 0.01 ) | 0.19 | 2.14 | 4.84 | 0.89 |\n", + "| 6 | 100 | 100 | 0.1 | 1.0 | 0.12 | 0.93 ( 0.03 ) | 4.11 ( 0.18 ) | 4.17 ( 0.1 ) | 1.99 ( 0.01 ) | 0.93 | 4.11 | 4.17 | 1.99 |\n", + "| 22 | 100 | 100 | 0.3 | 1.0 | 0.15 | 0.81 ( 0.02 ) | 3.77 ( 0.16 ) | 4.28 ( 0.07 ) | 1.87 ( 0.01 ) | 0.81 | 3.77 | 4.28 | 1.87 |\n", + "| 38 | 100 | 100 | 0.5 | 1.0 | 0.15 | 0.68 ( 0.02 ) | 3.72 ( 0.19 ) | 4.42 ( 0.08 ) | 1.69 ( 0.01 ) | 0.68 | 3.72 | 4.42 | 1.69 |\n", + "| 54 | 100 | 100 | 0.7 | 1.0 | 0.14 | 0.47 ( 0.01 ) | 4.64 ( 0.25 ) | 4.32 ( 0.09 ) | 1.4 ( 0.01 ) | 0.47 | 4.64 | 4.32 | 1.40 |\n", + "| 70 | 100 | 100 | 0.9 | 1.0 | 0.16 | 0.19 ( 0.01 ) | 4.23 ( 0.22 ) | 4.48 ( 0.09 ) | 0.98 ( 0.01 ) | 0.19 | 4.23 | 4.48 | 0.98 |\n", + "| ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... | ... |\n", + "| 11 | 500 | 500 | 0.1 | 1.00 | 0.13 | 0.84 ( 0.01 ) | 20.8 ( 0.48 ) | 1.79 ( 0.1 ) | 2.12 ( 0.01 ) | 0.84 | 20.80 | 1.79 | 2.12 |\n", + "| 27 | 500 | 500 | 0.3 | 1.00 | 0.12 | 0.73 ( 0.01 ) | 20.86 ( 0.41 ) | 2.1 ( 0.09 ) | 1.99 ( 0.01 ) | 0.73 | 20.80 | 2.10 | 1.99 |\n", + "| 43 | 500 | 500 | 0.5 | 1.00 | 0.13 | 0.58 ( 0.01 ) | 20.66 ( 0.49 ) | 2.51 ( 0.07 ) | 1.79 ( 0.01 ) | 0.58 | 20.60 | 2.51 | 1.79 |\n", + "| 59 | 500 | 500 | 0.7 | 1.00 | 0.13 | 0.4 ( 0 ) | 21.21 ( 0.55 ) | 2.97 ( 0.08 ) | 1.49 ( 0 ) | 0.40 | 21.20 | 2.97 | 1.49 |\n", + "| 75 | 500 | 500 | 0.9 | 1.00 | 0.14 | 0.17 ( 0 ) | 21.38 ( 0.6 ) | 3 ( 0.07 ) | 0.99 ( 0 ) | 0.17 | 21.30 | 0.00 | 0.99 |\n", + "| 15 | 500 | 1000 | 0.1 | 2.00 | 0.06 | 0.87 ( 0.01 ) | 46.19 ( 0.64 ) | 1.97 ( 0.09 ) | 2.25 ( 0.01 ) | 0.87 | 46.10 | 1.97 | 2.25 |\n", + "| 31 | 500 | 1000 | 0.3 | 2.00 | 0.05 | 0.78 ( 0.01 ) | 44.58 ( 0.68 ) | 2.48 ( 0.09 ) | 2.13 ( 0.01 ) | 0.78 | 44.50 | 2.48 | 2.13 |\n", + "| 47 | 500 | 1000 | 0.5 | 2.00 | 0.05 | 0.65 ( 0.01 ) | 46.07 ( 0.71 ) | 2.83 ( 0.09 ) | 1.93 ( 0.01 ) | 0.65 | 46.00 | 2.83 | 1.93 |\n", + "| 63 | 500 | 1000 | 0.7 | 2.00 | 0.07 | 0.44 ( 0 ) | 45.41 ( 0.68 ) | 3.02 ( 0.07 ) | 1.59 ( 0.01 ) | 0.44 | 45.40 | 3.02 | 1.59 |\n", + "| 79 | 500 | 1000 | 0.9 | 2.00 | 0.06 | 0.19 ( 0 ) | 46.34 ( 0.86 ) | 3.13 ( 0.08 ) | 1.04 ( 0 ) | 0.19 | 46.30 | 3.13 | 1.04 |\n", + "| 4 | 1000 | 50 | 0.1 | 0.05 | 0.86 | 0.34 ( 0 ) | 0.15 ( 0.04 ) | 0.93 ( 0.07 ) | 1.15 ( 0 ) | 0.34 | 0.15 | 0.93 | 1.15 |\n", + "| 20 | 1000 | 50 | 0.3 | 0.05 | 0.82 | 0.31 ( 0 ) | 0.3 ( 0.05 ) | 1.19 ( 0.08 ) | 1.1 ( 0 ) | 0.31 | 0.30 | 1.19 | 1.10 |\n", + "| 36 | 1000 | 50 | 0.5 | 0.05 | 0.78 | 0.26 ( 0 ) | 0.91 ( 0.07 ) | 1.71 ( 0.07 ) | 1.03 ( 0 ) | 0.26 | 0.91 | 1.71 | 1.03 |\n", + "| 52 | 1000 | 50 | 0.7 | 0.05 | 0.85 | 0.19 ( 0 ) | 1.57 ( 0.07 ) | 2.29 ( 0.06 ) | 0.9 ( 0 ) | 0.19 | 1.57 | 2.29 | 0.90 |\n", + "| 68 | 1000 | 50 | 0.9 | 0.05 | 0.85 | 0.1 ( 0 ) | 1.5 ( 0.07 ) | 2.46 ( 0.06 ) | 0.7 ( 0 ) | 0.10 | 1.50 | 2.46 | 0.70 |\n", + "| 8 | 1000 | 100 | 0.1 | 0.10 | 0.74 | 0.45 ( 0 ) | 1.11 ( 0.1 ) | 0.74 ( 0.07 ) | 1.37 ( 0 ) | 0.45 | 1.11 | 0.74 | 1.37 |\n", + "| 24 | 1000 | 100 | 0.3 | 0.10 | 0.75 | 0.41 ( 0 ) | 1.4 ( 0.1 ) | 0.76 ( 0.07 ) | 1.31 ( 0 ) | 0.41 | 1.40 | 0.76 | 1.31 |\n", + "| 40 | 1000 | 100 | 0.5 | 0.10 | 0.76 | 0.34 ( 0 ) | 2.09 ( 0.1 ) | 1.08 ( 0.07 ) | 1.2 ( 0 ) | 0.34 | 2.09 | 1.08 | 1.20 |\n", + "| 56 | 1000 | 100 | 0.7 | 0.10 | 0.80 | 0.25 ( 0 ) | 2.42 ( 0.1 ) | 1.76 ( 0.05 ) | 1.05 ( 0 ) | 0.25 | 2.42 | 1.76 | 1.05 |\n", + "| 72 | 1000 | 100 | 0.9 | 0.10 | 0.80 | 0.12 ( 0 ) | 2.42 ( 0.11 ) | 1.89 ( 0.05 ) | 0.78 ( 0 ) | 0.12 | 2.42 | 1.89 | 0.78 |\n", + "| 12 | 1000 | 500 | 0.1 | 0.50 | 0.18 | 0.76 ( 0.01 ) | 18.72 ( 0.37 ) | 0.91 ( 0.07 ) | 2.02 ( 0 ) | 0.76 | 18.70 | 0.91 | 2.02 |\n", + "| 28 | 1000 | 500 | 0.3 | 0.50 | 0.19 | 0.68 ( 0.01 ) | 18.71 ( 0.45 ) | 1.13 ( 0.08 ) | 1.91 ( 0 ) | 0.68 | 18.70 | 1.13 | 1.91 |\n", + "| 44 | 1000 | 500 | 0.5 | 0.50 | 0.20 | 0.55 ( 0 ) | 18.4 ( 0.44 ) | 1.77 ( 0.07 ) | 1.72 ( 0 ) | 0.55 | 18.40 | 1.77 | 1.72 |\n", + "| 60 | 1000 | 500 | 0.7 | 0.50 | 0.21 | 0.38 ( 0 ) | 17.4 ( 0.46 ) | 1.98 ( 0.07 ) | 1.43 ( 0 ) | 0.38 | 17.40 | 1.98 | 1.43 |\n", + "| 76 | 1000 | 500 | 0.9 | 0.50 | 0.20 | 0.16 ( 0 ) | 18.68 ( 0.53 ) | 2.35 ( 0.06 ) | 0.96 ( 0 ) | 0.16 | 18.60 | 2.35 | 0.96 |\n", + "| 16 | 1000 | 1000 | 0.1 | 1.00 | 0.09 | 0.85 ( 0.01 ) | 40.92 ( 0.66 ) | 0.98 ( 0.07 ) | 2.21 ( 0 ) | 0.85 | 40.90 | 0.98 | 2.21 |\n", + "| 32 | 1000 | 1000 | 0.3 | 1.00 | 0.08 | 0.74 ( 0.01 ) | 42.87 ( 0.73 ) | 1.44 ( 0.09 ) | 2.07 ( 0 ) | 0.74 | 42.80 | 1.44 | 2.07 |\n", + "| 48 | 1000 | 1000 | 0.5 | 1.00 | 0.09 | 0.61 ( 0.01 ) | 41.21 ( 0.68 ) | 1.84 ( 0.08 ) | 1.87 ( 0 ) | 0.61 | 41.20 | 1.84 | 1.87 |\n", + "| 64 | 1000 | 1000 | 0.7 | 1.00 | 0.09 | 0.42 ( 0 ) | 42.15 ( 0.71 ) | 2.37 ( 0.07 ) | 1.56 ( 0 ) | 0.42 | 42.10 | 2.37 | 1.56 |\n", + "| 80 | 1000 | 1000 | 0.9 | 1.00 | 0.09 | 0.18 ( 0 ) | 43.52 ( 0.89 ) | 2.7 ( 0.07 ) | 1.02 ( 0 ) | 0.18 | 43.50 | 2.70 | 1.02 |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN \n", + "1 50 50 0.1 1.0 0.00 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "17 50 50 0.3 1.0 0.00 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "33 50 50 0.5 1.0 0.00 0.99 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "49 50 50 0.7 1.0 0.00 0.66 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "65 50 50 0.9 1.0 0.00 0.27 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "5 50 100 0.1 2.0 0.00 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "21 50 100 0.3 2.0 0.00 1.15 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "37 50 100 0.5 2.0 0.00 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "53 50 100 0.7 2.0 0.00 0.67 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "69 50 100 0.9 2.0 0.00 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "9 50 500 0.1 10.0 0.00 1.29 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "25 50 500 0.3 10.0 0.00 1.14 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "41 50 500 0.5 10.0 0.00 0.95 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "57 50 500 0.7 10.0 0.00 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "73 50 500 0.9 10.0 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "13 50 1000 0.1 20.0 0.00 1.35 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) \n", + "29 50 1000 0.3 20.0 0.00 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) \n", + "45 50 1000 0.5 20.0 0.00 0.94 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) \n", + "61 50 1000 0.7 20.0 0.00 0.74 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) \n", + "77 50 1000 0.9 20.0 0.00 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) \n", + "2 100 50 0.1 0.5 0.19 0.86 ( 0.03 ) 1.87 ( 0.14 ) 4.25 ( 0.09 )\n", + "18 100 50 0.3 0.5 0.23 0.77 ( 0.02 ) 1.72 ( 0.11 ) 4.4 ( 0.08 ) \n", + "34 100 50 0.5 0.5 0.24 0.62 ( 0.02 ) 1.74 ( 0.13 ) 4.39 ( 0.08 )\n", + "50 100 50 0.7 0.5 0.28 0.44 ( 0.01 ) 1.84 ( 0.14 ) 4.44 ( 0.08 )\n", + "66 100 50 0.9 0.5 0.19 0.19 ( 0.01 ) 2.14 ( 0.17 ) 4.84 ( 0.08 )\n", + "6 100 100 0.1 1.0 0.12 0.93 ( 0.03 ) 4.11 ( 0.18 ) 4.17 ( 0.1 ) \n", + "22 100 100 0.3 1.0 0.15 0.81 ( 0.02 ) 3.77 ( 0.16 ) 4.28 ( 0.07 )\n", + "38 100 100 0.5 1.0 0.15 0.68 ( 0.02 ) 3.72 ( 0.19 ) 4.42 ( 0.08 )\n", + "54 100 100 0.7 1.0 0.14 0.47 ( 0.01 ) 4.64 ( 0.25 ) 4.32 ( 0.09 )\n", + "70 100 100 0.9 1.0 0.16 0.19 ( 0.01 ) 4.23 ( 0.22 ) 4.48 ( 0.09 )\n", + "... ... ... ... ... ... ... ... ... \n", + "11 500 500 0.1 1.00 0.13 0.84 ( 0.01 ) 20.8 ( 0.48 ) 1.79 ( 0.1 ) \n", + "27 500 500 0.3 1.00 0.12 0.73 ( 0.01 ) 20.86 ( 0.41 ) 2.1 ( 0.09 ) \n", + "43 500 500 0.5 1.00 0.13 0.58 ( 0.01 ) 20.66 ( 0.49 ) 2.51 ( 0.07 )\n", + "59 500 500 0.7 1.00 0.13 0.4 ( 0 ) 21.21 ( 0.55 ) 2.97 ( 0.08 )\n", + "75 500 500 0.9 1.00 0.14 0.17 ( 0 ) 21.38 ( 0.6 ) 3 ( 0.07 ) \n", + "15 500 1000 0.1 2.00 0.06 0.87 ( 0.01 ) 46.19 ( 0.64 ) 1.97 ( 0.09 )\n", + "31 500 1000 0.3 2.00 0.05 0.78 ( 0.01 ) 44.58 ( 0.68 ) 2.48 ( 0.09 )\n", + "47 500 1000 0.5 2.00 0.05 0.65 ( 0.01 ) 46.07 ( 0.71 ) 2.83 ( 0.09 )\n", + "63 500 1000 0.7 2.00 0.07 0.44 ( 0 ) 45.41 ( 0.68 ) 3.02 ( 0.07 )\n", + "79 500 1000 0.9 2.00 0.06 0.19 ( 0 ) 46.34 ( 0.86 ) 3.13 ( 0.08 )\n", + "4 1000 50 0.1 0.05 0.86 0.34 ( 0 ) 0.15 ( 0.04 ) 0.93 ( 0.07 )\n", + "20 1000 50 0.3 0.05 0.82 0.31 ( 0 ) 0.3 ( 0.05 ) 1.19 ( 0.08 )\n", + "36 1000 50 0.5 0.05 0.78 0.26 ( 0 ) 0.91 ( 0.07 ) 1.71 ( 0.07 )\n", + "52 1000 50 0.7 0.05 0.85 0.19 ( 0 ) 1.57 ( 0.07 ) 2.29 ( 0.06 )\n", + "68 1000 50 0.9 0.05 0.85 0.1 ( 0 ) 1.5 ( 0.07 ) 2.46 ( 0.06 )\n", + "8 1000 100 0.1 0.10 0.74 0.45 ( 0 ) 1.11 ( 0.1 ) 0.74 ( 0.07 )\n", + "24 1000 100 0.3 0.10 0.75 0.41 ( 0 ) 1.4 ( 0.1 ) 0.76 ( 0.07 )\n", + "40 1000 100 0.5 0.10 0.76 0.34 ( 0 ) 2.09 ( 0.1 ) 1.08 ( 0.07 )\n", + "56 1000 100 0.7 0.10 0.80 0.25 ( 0 ) 2.42 ( 0.1 ) 1.76 ( 0.05 )\n", + "72 1000 100 0.9 0.10 0.80 0.12 ( 0 ) 2.42 ( 0.11 ) 1.89 ( 0.05 )\n", + "12 1000 500 0.1 0.50 0.18 0.76 ( 0.01 ) 18.72 ( 0.37 ) 0.91 ( 0.07 )\n", + "28 1000 500 0.3 0.50 0.19 0.68 ( 0.01 ) 18.71 ( 0.45 ) 1.13 ( 0.08 )\n", + "44 1000 500 0.5 0.50 0.20 0.55 ( 0 ) 18.4 ( 0.44 ) 1.77 ( 0.07 )\n", + "60 1000 500 0.7 0.50 0.21 0.38 ( 0 ) 17.4 ( 0.46 ) 1.98 ( 0.07 )\n", + "76 1000 500 0.9 0.50 0.20 0.16 ( 0 ) 18.68 ( 0.53 ) 2.35 ( 0.06 )\n", + "16 1000 1000 0.1 1.00 0.09 0.85 ( 0.01 ) 40.92 ( 0.66 ) 0.98 ( 0.07 )\n", + "32 1000 1000 0.3 1.00 0.08 0.74 ( 0.01 ) 42.87 ( 0.73 ) 1.44 ( 0.09 )\n", + "48 1000 1000 0.5 1.00 0.09 0.61 ( 0.01 ) 41.21 ( 0.68 ) 1.84 ( 0.08 )\n", + "64 1000 1000 0.7 1.00 0.09 0.42 ( 0 ) 42.15 ( 0.71 ) 2.37 ( 0.07 )\n", + "80 1000 1000 0.9 1.00 0.09 0.18 ( 0 ) 43.52 ( 0.89 ) 2.7 ( 0.07 ) \n", + " OOB MSE_mean FP_mean FN_mean OOB_mean\n", + "1 1.98 ( 0.02 ) 1.40 1.00 0.00 1.98 \n", + "17 1.87 ( 0.02 ) 1.22 1.00 0.00 1.87 \n", + "33 1.68 ( 0.02 ) 0.99 1.00 0.00 1.68 \n", + "49 1.44 ( 0.01 ) 0.66 1.00 0.00 1.44 \n", + "65 0.96 ( 0.01 ) 0.27 1.00 0.00 0.96 \n", + "5 2.19 ( 0.02 ) 1.36 1.00 0.00 2.19 \n", + "21 2.03 ( 0.02 ) 1.15 1.00 0.00 2.03 \n", + "37 1.84 ( 0.02 ) 0.91 1.00 0.00 1.84 \n", + "53 1.5 ( 0.02 ) 0.67 1.00 0.00 1.50 \n", + "69 1 ( 0.01 ) 0.30 1.00 0.00 1.00 \n", + "9 2.39 ( 0.02 ) 1.29 1.00 0.00 2.39 \n", + "25 2.24 ( 0.02 ) 1.14 1.00 0.00 2.24 \n", + "41 2.04 ( 0.02 ) 0.95 1.00 0.00 2.04 \n", + "57 1.68 ( 0.02 ) 0.70 1.00 0.00 1.68 \n", + "73 1.1 ( 0.01 ) 0.29 1.00 0.00 1.10 \n", + "13 2.42 ( 0.02 ) 1.35 1.00 0.00 2.42 \n", + "29 2.29 ( 0.02 ) 1.20 1.00 0.00 2.29 \n", + "45 2.04 ( 0.02 ) 0.94 1.00 0.00 2.04 \n", + "61 1.69 ( 0.02 ) 0.74 1.00 0.00 1.69 \n", + "77 1.11 ( 0.01 ) 0.29 1.00 0.00 1.11 \n", + "2 1.76 ( 0.01 ) 0.86 1.87 4.25 1.76 \n", + "18 1.65 ( 0.01 ) 0.77 1.72 4.40 1.65 \n", + "34 1.5 ( 0.01 ) 0.62 1.74 4.39 1.50 \n", + "50 1.26 ( 0.01 ) 0.44 1.84 4.44 1.26 \n", + "66 0.89 ( 0.01 ) 0.19 2.14 4.84 0.89 \n", + "6 1.99 ( 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"toe_elnet$method = rep('elnet', dim(toe_elnet)[1])\n", + "toe_rf$method = rep('rf', dim(toe_rf)[1])\n", + "toe_compLasso$method = rep('compLasso', dim(toe_compLasso)[1])" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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    NPCorrRatioStabMSEFPFNnum_selectFDRMSE_meanFP_meanFN_meanmethod
    16150 50 0.1 1 0 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 0 NaN 1.40 1 6 rf
    16550 100 0.1 2 0 1.36 ( 0.06 )1 ( 0 ) 6 ( 0 ) 0 NaN 1.36 1 6 rf
    16950 500 0.1 10 0 1.29 ( 0.05 )1 ( 0 ) 6 ( 0 ) 0 NaN 1.29 1 6 rf
    17350 1000 0.1 20 0 1.35 ( 0.06 )1 ( 0 ) 6 ( 0 ) 0 NaN 1.35 1 6 rf
    17750 50 0.3 1 0 1.22 ( 0.05 )1 ( 0 ) 6 ( 0 ) 0 NaN 1.22 1 6 rf
    18150 100 0.3 2 0 1.15 ( 0.05 )1 ( 0 ) 6 ( 0 ) 0 NaN 1.15 1 6 rf
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    18950 1000 0.3 20 0 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN 1.20 1 6 rf
    19350 50 0.5 1 0 0.99 ( 0.05 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.99 1 6 rf
    19750 100 0.5 2 0 0.91 ( 0.04 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.91 1 6 rf
    20150 500 0.5 10 0 0.95 ( 0.04 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.95 1 6 rf
    20550 1000 0.5 20 0 0.94 ( 0.04 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.94 1 6 rf
    20950 50 0.7 1 0 0.66 ( 0.03 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.66 1 6 rf
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    21750 500 0.7 10 0 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 0 NaN 0.70 1 6 rf
    22150 1000 0.7 20 0 0.74 ( 0.03 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.74 1 6 rf
    22550 50 0.9 1 0 0.27 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.27 1 6 rf
    22950 100 0.9 2 0 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 0 NaN 0.30 1 6 rf
    23350 500 0.9 10 0 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.29 1 6 rf
    23750 1000 0.9 20 0 0.29 ( 0.01 )1 ( 0 ) 6 ( 0 ) 0 NaN 0.29 1 6 rf
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|llllllllllllll}\n", + " & N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & FDR & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t161 & 50 & 50 & 0.1 & 1 & 0 & 1.4 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.40 & 1 & 6 & rf \\\\\n", + "\t165 & 50 & 100 & 0.1 & 2 & 0 & 1.36 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.36 & 1 & 6 & rf \\\\\n", + "\t169 & 50 & 500 & 0.1 & 10 & 0 & 1.29 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.29 & 1 & 6 & rf \\\\\n", + "\t173 & 50 & 1000 & 0.1 & 20 & 0 & 1.35 ( 0.06 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.35 & 1 & 6 & rf \\\\\n", + "\t177 & 50 & 50 & 0.3 & 1 & 0 & 1.22 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.22 & 1 & 6 & rf \\\\\n", + "\t181 & 50 & 100 & 0.3 & 2 & 0 & 1.15 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.15 & 1 & 6 & rf \\\\\n", + "\t185 & 50 & 500 & 0.3 & 10 & 0 & 1.14 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.14 & 1 & 6 & rf \\\\\n", + "\t189 & 50 & 1000 & 0.3 & 20 & 0 & 1.2 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 1.20 & 1 & 6 & rf \\\\\n", + "\t193 & 50 & 50 & 0.5 & 1 & 0 & 0.99 ( 0.05 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.99 & 1 & 6 & rf \\\\\n", + "\t197 & 50 & 100 & 0.5 & 2 & 0 & 0.91 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.91 & 1 & 6 & rf \\\\\n", + "\t201 & 50 & 500 & 0.5 & 10 & 0 & 0.95 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.95 & 1 & 6 & rf \\\\\n", + "\t205 & 50 & 1000 & 0.5 & 20 & 0 & 0.94 ( 0.04 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.94 & 1 & 6 & rf \\\\\n", + "\t209 & 50 & 50 & 0.7 & 1 & 0 & 0.66 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.66 & 1 & 6 & rf \\\\\n", + "\t213 & 50 & 100 & 0.7 & 2 & 0 & 0.67 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.67 & 1 & 6 & rf \\\\\n", + "\t217 & 50 & 500 & 0.7 & 10 & 0 & 0.7 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.70 & 1 & 6 & rf \\\\\n", + "\t221 & 50 & 1000 & 0.7 & 20 & 0 & 0.74 ( 0.03 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.74 & 1 & 6 & rf \\\\\n", + "\t225 & 50 & 50 & 0.9 & 1 & 0 & 0.27 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.27 & 1 & 6 & rf \\\\\n", + "\t229 & 50 & 100 & 0.9 & 2 & 0 & 0.3 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.30 & 1 & 6 & rf \\\\\n", + "\t233 & 50 & 500 & 0.9 & 10 & 0 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.29 & 1 & 6 & rf \\\\\n", + "\t237 & 50 & 1000 & 0.9 & 20 & 0 & 0.29 ( 0.01 ) & 1 ( 0 ) & 6 ( 0 ) & 0 & NaN & 0.29 & 1 & 6 & rf \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| | N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | FDR | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 161 | 50 | 50 | 0.1 | 1 | 0 | 1.4 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.40 | 1 | 6 | rf |\n", + "| 165 | 50 | 100 | 0.1 | 2 | 0 | 1.36 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.36 | 1 | 6 | rf |\n", + "| 169 | 50 | 500 | 0.1 | 10 | 0 | 1.29 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.29 | 1 | 6 | rf |\n", + "| 173 | 50 | 1000 | 0.1 | 20 | 0 | 1.35 ( 0.06 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.35 | 1 | 6 | rf |\n", + "| 177 | 50 | 50 | 0.3 | 1 | 0 | 1.22 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.22 | 1 | 6 | rf |\n", + "| 181 | 50 | 100 | 0.3 | 2 | 0 | 1.15 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.15 | 1 | 6 | rf |\n", + "| 185 | 50 | 500 | 0.3 | 10 | 0 | 1.14 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.14 | 1 | 6 | rf |\n", + "| 189 | 50 | 1000 | 0.3 | 20 | 0 | 1.2 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 1.20 | 1 | 6 | rf |\n", + "| 193 | 50 | 50 | 0.5 | 1 | 0 | 0.99 ( 0.05 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.99 | 1 | 6 | rf |\n", + "| 197 | 50 | 100 | 0.5 | 2 | 0 | 0.91 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.91 | 1 | 6 | rf |\n", + "| 201 | 50 | 500 | 0.5 | 10 | 0 | 0.95 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.95 | 1 | 6 | rf |\n", + "| 205 | 50 | 1000 | 0.5 | 20 | 0 | 0.94 ( 0.04 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.94 | 1 | 6 | rf |\n", + "| 209 | 50 | 50 | 0.7 | 1 | 0 | 0.66 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.66 | 1 | 6 | rf |\n", + "| 213 | 50 | 100 | 0.7 | 2 | 0 | 0.67 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.67 | 1 | 6 | rf |\n", + "| 217 | 50 | 500 | 0.7 | 10 | 0 | 0.7 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.70 | 1 | 6 | rf |\n", + "| 221 | 50 | 1000 | 0.7 | 20 | 0 | 0.74 ( 0.03 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.74 | 1 | 6 | rf |\n", + "| 225 | 50 | 50 | 0.9 | 1 | 0 | 0.27 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.27 | 1 | 6 | rf |\n", + "| 229 | 50 | 100 | 0.9 | 2 | 0 | 0.3 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.30 | 1 | 6 | rf |\n", + "| 233 | 50 | 500 | 0.9 | 10 | 0 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.29 | 1 | 6 | rf |\n", + "| 237 | 50 | 1000 | 0.9 | 20 | 0 | 0.29 ( 0.01 ) | 1 ( 0 ) | 6 ( 0 ) | 0 | NaN | 0.29 | 1 | 6 | rf |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select FDR\n", + "161 50 50 0.1 1 0 1.4 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "165 50 100 0.1 2 0 1.36 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "169 50 500 0.1 10 0 1.29 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "173 50 1000 0.1 20 0 1.35 ( 0.06 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "177 50 50 0.3 1 0 1.22 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "181 50 100 0.3 2 0 1.15 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "185 50 500 0.3 10 0 1.14 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "189 50 1000 0.3 20 0 1.2 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "193 50 50 0.5 1 0 0.99 ( 0.05 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "197 50 100 0.5 2 0 0.91 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "201 50 500 0.5 10 0 0.95 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "205 50 1000 0.5 20 0 0.94 ( 0.04 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "209 50 50 0.7 1 0 0.66 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "213 50 100 0.7 2 0 0.67 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "217 50 500 0.7 10 0 0.7 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "221 50 1000 0.7 20 0 0.74 ( 0.03 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "225 50 50 0.9 1 0 0.27 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "229 50 100 0.9 2 0 0.3 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "233 50 500 0.9 10 0 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + "237 50 1000 0.9 20 0 0.29 ( 0.01 ) 1 ( 0 ) 6 ( 0 ) 0 NaN\n", + " MSE_mean FP_mean FN_mean method\n", + "161 1.40 1 6 rf \n", + "165 1.36 1 6 rf \n", + "169 1.29 1 6 rf \n", + "173 1.35 1 6 rf \n", + "177 1.22 1 6 rf \n", + "181 1.15 1 6 rf \n", + "185 1.14 1 6 rf \n", + "189 1.20 1 6 rf \n", + "193 0.99 1 6 rf \n", + "197 0.91 1 6 rf \n", + "201 0.95 1 6 rf \n", + "205 0.94 1 6 rf \n", + "209 0.66 1 6 rf \n", + "213 0.67 1 6 rf \n", + "217 0.70 1 6 rf \n", + "221 0.74 1 6 rf \n", + "225 0.27 1 6 rf \n", + "229 0.30 1 6 rf \n", + "233 0.29 1 6 rf \n", + "237 0.29 1 6 rf " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "toe[toe$num_select == 0, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "# fix false positives: when nothing was selected, then fp should be zero\n", + "# fp is now 1 due to length(setdiff(0/NA)) = 1 when actually should be 0 (in cv_sim_apply.R)\n", + "toe$FP_mean[toe$num_select ==0] = 0\n", + "write.table(toe, '../results_summary/table_toe_all.txt', sep='\\t', row.names=F)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### data visulization" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "library(ggplot2)\n", + "toe$N = as.factor(toe$N)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### correlation 0.1" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "toe_sub1 = toe[toe$Corr %in% 0.1, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "fig_num_select <- ggplot(toe_sub1, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.1_num_select.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "fig_stab <- ggplot(toe_sub1, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.1_Stab.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "fig_mse <- ggplot(toe_sub1, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.1_MSE.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "fig_FP <- ggplot(toe_sub1, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.1_FP.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "fig_FN <- ggplot(toe_sub1, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.1\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.1_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.3" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "toe_sub3 = toe[toe$Corr %in% 0.3, ]" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "fig_num_select <- ggplot(toe_sub3, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.3_num_select.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "fig_stab <- ggplot(toe_sub3, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.3_Stab.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "fig_mse <- ggplot(toe_sub3, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.3_MSE.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [], + "source": [ + "fig_FP <- ggplot(toe_sub3, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.3_FP.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "fig_FN <- ggplot(toe_sub3, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.3\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.3_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.5" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "toe_sub5 = toe[toe$Corr %in% 0.5, ]\n", + "\n", + "fig_num_select <- ggplot(toe_sub5, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.5_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(toe_sub5, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.5_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(toe_sub5, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3)+\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.5_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(toe_sub5, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.5_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(toe_sub5, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.5\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.5_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.7" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [], + "source": [ + "toe_sub7 = toe[toe$Corr %in% 0.7, ]\n", + "\n", + "fig_num_select <- ggplot(toe_sub7, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.7_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(toe_sub7, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0,1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.7_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(toe_sub7, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3)+\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.7_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(toe_sub7, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.7_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(toe_sub7, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.7\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.7_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### Correlation 0.9" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [], + "source": [ + "toe_sub9 = toe[toe$Corr %in% 0.9, ]\n", + "\n", + "fig_num_select <- ggplot(toe_sub9, aes(fill=method, y=num_select, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Number of Selected Features\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 65) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.9_num_select.pdf', height=5, width=5.5)\n", + "\n", + "fig_stab <- ggplot(toe_sub9, aes(fill=method, y=Stab, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"Stability\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0,1) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.9_Stab.pdf', height=5, width=5.5)\n", + "\n", + "fig_mse <- ggplot(toe_sub9, aes(fill=method, y=MSE_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"MSE\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 3) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.9_MSE.pdf', height=5, width=5.5)\n", + "\n", + "fig_FP <- ggplot(toe_sub9, aes(fill=method, y=FP_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"#False Positives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) + ylim(0, 72) + \n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.9_FP.pdf', height=5, width=5.5)\n", + "\n", + "fig_FN <- ggplot(toe_sub9, aes(fill=method, y=FN_mean, x=N)) + \n", + " geom_bar(position=\"dodge\", stat=\"identity\") + \n", + " ggtitle(\"Toeplitz Correlation 0.9\") + xlab(\"Number of Samples\") + ylab(\"#False Negatives\") + \n", + " theme(plot.title = element_text(hjust = 0.5), legend.position=\"top\") + \n", + " facet_grid(~P, labeller = label_both) +\n", + " scale_fill_brewer(palette=\"Dark2\", name=\"Method\",\n", + " breaks=c(\"compLasso\", \"elnet\", \"lasso\", \"rf\"),\n", + " labels=c(\"Compositional Lasso\", \"Elastic Net\", \"Lasso\", \"Random Forest\"))\n", + "ggsave('../figures_sim/figure_toe_corr0.9_FN.pdf', height=5, width=5.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### all together" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + 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w6oh3dlYDewkTnFjVjakpmj65fODxhH0sBmpxM3rN2IeTOmwRg2k2RQ+zabfqcU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\n9wiIgtR77OXKQkAICAEhIASEgBAQAkJACFiMgChIFrs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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "library(ggplot2)\n", + "library(ggpubr)\n", + "toe$N = as.factor(toe$N)\n", + "fig_toe_stab = ggplot(toe, aes(x=P, y=Stab, color=N)) + geom_point(aes(shape=method)) +ylab('Stability')\n", + "fig_toe_mse = ggplot(toe, aes(x=P, y=MSE_mean, color=N)) + geom_point(aes(shape=method)) + ylab('MSE')\n", + "fig_toe_fp = ggplot(toe, aes(x=P, y=FP_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Positives')\n", + "fig_toe_fn = ggplot(toe, aes(x=P, y=FN_mean, color=N)) + geom_point(aes(shape=method)) + ylab('False Negatives')\n", + "fig = ggarrange(fig_toe_stab, fig_toe_mse, fig_toe_fp, fig_toe_fn, ncol=2, nrow=2, \n", + " common.legend = TRUE, legend=\"bottom\") \n", + "fig = annotate_figure(fig, top = text_grob(\"Toeplitz\"))\n", + "fig" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "file saved to ../figures_sim/figure_toe_summary.pdf\n" + ] + } + ], + "source": [ + "ggexport(fig, filename = \"../figures_sim/figure_toe_summary.pdf\", height=8, width=8)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### plot relationship between MSE, Stab, FP, FN" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
    NPCorrRatioStabMSEFPFNnum_selectMSE_meanFP_meanFN_meanmethod
    50 50 0.1 1.00 0.36 0.62 ( 0.04 )8.59 ( 0.46 )0.02 ( 0.01 )13.57 0.62 8.59 0.02 lasso
    100 50 0.1 0.50 0.47 0.37 ( 0.01 )6.3 ( 0.43 ) 0 ( 0 ) 11.30 0.37 6.30 0.00 lasso
    500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 )0 ( 0 ) 7.88 0.28 2.88 0.00 lasso
    1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 )0 ( 0 ) 6.66 0.27 1.66 0.00 lasso
    50 100 0.1 2.00 0.32 0.67 ( 0.05 )11.84 ( 0.4 )0 ( 0 ) 16.84 0.67 11.80 0.00 lasso
    100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 )0 ( 0 ) 12.71 0.40 7.71 0.00 lasso
    \n" + ], + "text/latex": [ + "\\begin{tabular}{r|lllllllllllll}\n", + " N & P & Corr & Ratio & Stab & MSE & FP & FN & num\\_select & MSE\\_mean & FP\\_mean & FN\\_mean & method\\\\\n", + "\\hline\n", + "\t 50 & 50 & 0.1 & 1.00 & 0.36 & 0.62 ( 0.04 ) & 8.59 ( 0.46 ) & 0.02 ( 0.01 ) & 13.57 & 0.62 & 8.59 & 0.02 & lasso \\\\\n", + "\t 100 & 50 & 0.1 & 0.50 & 0.47 & 0.37 ( 0.01 ) & 6.3 ( 0.43 ) & 0 ( 0 ) & 11.30 & 0.37 & 6.30 & 0.00 & lasso \\\\\n", + "\t 500 & 50 & 0.1 & 0.10 & 0.73 & 0.28 ( 0 ) & 2.88 ( 0.21 ) & 0 ( 0 ) & 7.88 & 0.28 & 2.88 & 0.00 & lasso \\\\\n", + "\t 1000 & 50 & 0.1 & 0.05 & 0.89 & 0.27 ( 0 ) & 1.66 ( 0.11 ) & 0 ( 0 ) & 6.66 & 0.27 & 1.66 & 0.00 & lasso \\\\\n", + "\t 50 & 100 & 0.1 & 2.00 & 0.32 & 0.67 ( 0.05 ) & 11.84 ( 0.4 ) & 0 ( 0 ) & 16.84 & 0.67 & 11.80 & 0.00 & lasso \\\\\n", + "\t 100 & 100 & 0.1 & 1.00 & 0.44 & 0.4 ( 0.01 ) & 7.71 ( 0.56 ) & 0 ( 0 ) & 12.71 & 0.40 & 7.71 & 0.00 & lasso \\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "| N | P | Corr | Ratio | Stab | MSE | FP | FN | num_select | MSE_mean | FP_mean | FN_mean | method |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| 50 | 50 | 0.1 | 1.00 | 0.36 | 0.62 ( 0.04 ) | 8.59 ( 0.46 ) | 0.02 ( 0.01 ) | 13.57 | 0.62 | 8.59 | 0.02 | lasso |\n", + "| 100 | 50 | 0.1 | 0.50 | 0.47 | 0.37 ( 0.01 ) | 6.3 ( 0.43 ) | 0 ( 0 ) | 11.30 | 0.37 | 6.30 | 0.00 | lasso |\n", + "| 500 | 50 | 0.1 | 0.10 | 0.73 | 0.28 ( 0 ) | 2.88 ( 0.21 ) | 0 ( 0 ) | 7.88 | 0.28 | 2.88 | 0.00 | lasso |\n", + "| 1000 | 50 | 0.1 | 0.05 | 0.89 | 0.27 ( 0 ) | 1.66 ( 0.11 ) | 0 ( 0 ) | 6.66 | 0.27 | 1.66 | 0.00 | lasso |\n", + "| 50 | 100 | 0.1 | 2.00 | 0.32 | 0.67 ( 0.05 ) | 11.84 ( 0.4 ) | 0 ( 0 ) | 16.84 | 0.67 | 11.80 | 0.00 | lasso |\n", + "| 100 | 100 | 0.1 | 1.00 | 0.44 | 0.4 ( 0.01 ) | 7.71 ( 0.56 ) | 0 ( 0 ) | 12.71 | 0.40 | 7.71 | 0.00 | lasso |\n", + "\n" + ], + "text/plain": [ + " N P Corr Ratio Stab MSE FP FN num_select\n", + "1 50 50 0.1 1.00 0.36 0.62 ( 0.04 ) 8.59 ( 0.46 ) 0.02 ( 0.01 ) 13.57 \n", + "2 100 50 0.1 0.50 0.47 0.37 ( 0.01 ) 6.3 ( 0.43 ) 0 ( 0 ) 11.30 \n", + "3 500 50 0.1 0.10 0.73 0.28 ( 0 ) 2.88 ( 0.21 ) 0 ( 0 ) 7.88 \n", + "4 1000 50 0.1 0.05 0.89 0.27 ( 0 ) 1.66 ( 0.11 ) 0 ( 0 ) 6.66 \n", + "5 50 100 0.1 2.00 0.32 0.67 ( 0.05 ) 11.84 ( 0.4 ) 0 ( 0 ) 16.84 \n", + "6 100 100 0.1 1.00 0.44 0.4 ( 0.01 ) 7.71 ( 0.56 ) 0 ( 0 ) 12.71 \n", + " MSE_mean FP_mean FN_mean method\n", + "1 0.62 8.59 0.02 lasso \n", + "2 0.37 6.30 0.00 lasso \n", + "3 0.28 2.88 0.00 lasso \n", + "4 0.27 1.66 0.00 lasso \n", + "5 0.67 11.80 0.00 lasso \n", + "6 0.40 7.71 0.00 lasso " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat = read.csv('../results_summary/table_toe_all.txt', sep='\\t')\n", + "head(dat)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "library(ggplot2)\n", + "library(gridExtra)\n", + "library(ggpubr)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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HHFFVrPYa7zoYceqr87cnJygi4aviOg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R2BUICAQEAsOGQJ9d7IZtpKJjgUAfEdDo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\nBFZPTHB3GR+TSetWW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SwyNweuZk3qVV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IWjaPxwBgoOnxM1AwLdpfRNwRcQQPrw4w6k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\ndib4UNIl/35Pkh79ekP4rMuU44/EdMQxSAlaNu7ivWQ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65aUYpmDDhnliuK/WJUI9ze+/jI2vZ9PSNdDvesOtuKl8tVvebGUwo8uqqRnk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\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jE/Px9XX301cnJykJGRgeeffx73338/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\nahgMBqSlp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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig_mse_fp <- ggplot(dat, aes(x=FP_mean, y=MSE_mean, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_stab_fp <- ggplot(dat, aes(x=FP_mean, y=Stab, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"top\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_mse_fn <- ggplot(dat, aes(x=FN_mean, y=MSE_mean, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"none\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "fig_stab_fn <- ggplot(dat, aes(x=FN_mean, y=Stab, color=Ratio, shape=method)) + geom_point() + \n", + "theme(legend.position=\"none\") + scale_color_gradientn(colors = c(\"#00AFBB\", \"#E7B800\", \"#FC4E07\"))\n", + "grid.arrange(fig_mse_fp, fig_stab_fp, fig_mse_fn, fig_stab_fn, ncol=2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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V/mezBVnUrlbj6HnyRAArlBgApSbpRT\n0lTqTJBaFUskBxxwgGHlTvci6Zr+v/71r8aL4IILLjCCqBldtdSjHQzd3KzuurRAN+FTxieB\nVHUqFZVUdSqVe6r46Z7bBLSd0fPWYhWc2BzpDLcaaNBzaHQJk+430e9qVUz3GemsuJoS131M\nekSBnpGj++pOOeUU48DjVO6xz+L3sUFA91FqndL6YEf0PCUVjUMVbTUU8swzzxgGjfR+qjqV\nyl3joJAACeQOAS6xy52ySpjSF154AXq+QyKFRs9LWrFihbF2X83tqrWy73znO8Yp5BqpLl35\n5Cc/iauvvhrqriNmuhG6uLg44TPpMLYJpKpTqXKfqk6lck8VP91zm4AqSL/73e8MwyDxLMpp\nG6R7jfTw19tvv93osKpyFGs8RI2KqKEZbbt0CdR+++1nhDHJpHI3/fFzbBDQPUpap/QYDDvv\nLq1D/+///T/jUFpVkvQ9ec455www/JCqTqVyHxukmQsSGB8EXPKi6rOHmqP5/eCDD3I05SOf\nbDWVq6Nreiq2LlUZLGoQQtdc61rr8SA6s2ZFWMesUIrvJ1WdSuUeP9bcuWuljulBzmr1jzKU\ngM4e6eCP7g/RfUnxRPdL6p6jREZlUrnHizOX7lmpY7p6QNt/ijUCZp1Tw0jxJFWdSuUeL85s\nvae/rUWLFmVr8pguEhg2ApxBGja02RexdiASdSI0tdoBGS/KUfaVzthMUao6lcp9bFJhrqwS\n0H1G5h6QRGEGm2Ye7C+V+2D/vCYBHURMJqnqVCr3ZHHTjQRIIDsIxB8eyY60MRUkQAIkQAIk\nQAIkQAIkQAIkMKIEqCCNKG4+jARIgARIgARIgARIgARIIJsJUEHK5tJh2kiABEiABEiABEiA\nBEiABEaUABWkEcXNh5EACZAACZAACZAACZAACWQzASpI2Vw6TBsJkAAJkAAJkAAJkAAJkMCI\nEqCCNKK4+TASIAESIAESIAESIAESIIFsJpDzZr7VDCyFBIaTAOvYcNJl3HrOCOsY68FwEsjW\nOmYcw2jnKMbd5/jFO89vODmOx7i17lBIYDwSyHntoqKiYki56RkEet5PQ0MDgsHgEHcrN/RU\nbf3TA9/sip6loC+A+vp6u1GgrKwM3d3d0AM17Yh5zoweEKuHwNoVzYsenmdXcrlM4tUxvaf1\nY+fOnXaRGHVU60dXV5etOPQQw5qaGvT09KC5udlWHBpID+HUg0rtnhldWFho1FNNg6bFjuhL\nWOt6U1OTneBGGD3DS+t7rpWJ8osnWraRSMRR+1FeXm4cEGq3HTTbD207tA2xK07bD60byknb\nUj081o7k5+cb9cNJm56rZaLtr+Y/Vsz2Q98vLS0tsU5pfbfbfrg3b0LhHb8BImEMPbY8eRKi\n0l5EJlah66pv6AF+xgBDSUmJo3ZQ2w+fz4fa2trkD0/iWlxcjHA4bLyzk3hL6JSpMqmqqjL6\nP3bbdO0/aZ3RNr23txejcVi6lufs2bMTsqIDCQw3AZf8gKLD/ZDhjF8bo8Gio0ra0MRzG+w3\n2bXG4wSPpkFFOzl2xWka9Lna+dQ0OM2L03xkW5lYHRmLV480L1o28dyslrWGV3FSLpoHDe+k\nbDQvTsJrPsw4nOTFjMMqv8H+srFMrNSxzs7OIZ1XzZvmR8Vp2TgpE30+2w+l0CfZWCZW6pgO\nwuiAzmAZrbKNNjeh5/9+HzI6NDhJ1q9l9Yh7vwOQ9/VvGmEy0X5oRE5/bxqHk9/caJWJptsU\ns03X95v+rVq1ynQasU8qSCOGmg9KQCDnZ5DizWqYsxU6+mF35FRfJvrnZLQxm2aQ9AWZDTNI\n2VQmkydPTvCzGHg7Xh0zZ5DiuQ0MnfhKR+n0Rep0BklH+JSrXbE7Amw+z5xBam1tzYoZpGwq\nEyt1TGdE4qU5m2YrVInLhhkknWHkDJIfOtthlomVOqazRPr7jBVVKLSOafsx0jNI+X/+E7wy\n25zuzFFs+qUiIPzBe2h86V9wLdofmZpBivdbHPDcJBeZmkFyWiaZmkHS/o+mhUIC45EAjTSM\nx1JnnkmABEiABEhgFAi4d+yAd8VyuBysrOhPtsSR//fH+y/5hQRIgAQyRYAKUqZIMh4SIAES\nIAESIIGkBHxvLtX1o0n9WHXUGSiX7J90b9poNQj9kQAJkIAlAplppSw9ip5IgARIgARIgATG\nMwHvqg/hirN32DYT3Yu0ZrXt4AxIAiRAAvEIUEGKR4X3SIAESIAESIAEMktArMq6Bu2FcvoA\nl+xFcm/d4jQahicBEiCBAQSoIA3AwQsSIAESIAESIIHhIOASYx+ODDMkSJTLwREWCaLkbRIg\ngXFOgArSOK8AzD4JkAAJkAAJjAiB3UcbZPxZwxVvxhPKCEmABHKFABWkXCkpppMESIAESIAE\ncphAVI82GIb0R+RAZAoJkAAJZJIAFaRM0mRcJEACJEACJEAC8QmIQYVo5cT4bjbvRr0+RKfP\nsBmawUiABEggPgEqSPG58C4JkAAJkAAJkECGCQT32w9RUZQyJqEgwgv3yVh0jIgESIAElAAV\nJNYDEiABEiABEiCBESEQXHwEkCEz31HZexSZNg3RyVNGJO18CAmQwPghQAVp/JQ1c0oCJEAC\nJEACo0ogWlGJ4BFHIerxZCQdPWedm5F4GAkJkAAJxBKgghRLg99JgARIgARIgASGlUDvqacj\nWlqGqMt+F0QVrOBRxyDC/UfDWlaMnATGKwH7rdN4JcZ8kwAJkAAJkAAJ2CeQn4+uL18B5OUh\n6k6/G6LKUXjO3ug94yz7aWBIEiABEkhCIP2WKUlkdCIBEiABEiABEiCBVASiEyei8+prATXR\nbfEcIzURrvuOdB9T96Vfll3U7MKk4kx3EiABewQyaErGXgIYigRIgARIgARIYJwRCAbhf+5Z\noLk5ZcbNs5OiBQXouehzCM9fkDIMPZAACZCAEwJUkJzQY1gSIAESIAESIIG0CLjaWlHwuyVw\nNzbAFTXVn8RRuEynQAB5zz6N7ql7IVpcbN7lJwmQAAlknADnpzOOlBGSAAmQAAmQAAnEJSBK\nTsGdd8DdUA9Xmua+1b+7thYFv18ChEJxo+dNEiABEsgEASpImaDIOEiABEiABEiABFISyH/0\nIbibGuGKRFL6jefBFRElaVcd8h7/Szxn3iMBEiCBjBDICgUpJCNBr7/+Ov785z9j2bJlGckY\nIyEBEiABEiABEsgeAu5t2+Bd9kHaM0eDc6AzSb6334S7rnawE69JgARIICMERl1Bamlpwfnn\nn48777wTGzduxLe+9S3cdtttGckcIyEBEiABEiABEsgOAnnPPpW5hIg1O//zz2UuPsZEAiRA\nAjEERt1Iwz333IPJkyfjjjvuMJK1dOlSQ0m68MILUVNTE5NUfiUBEiABEiABEshJAj3d8Kxb\na8kog5X86RI976oPAbGGB++od2WsJJl+SIAEcojAqM8gHXfccfj2t7/dj2zChAnG92YLpj/7\nA/ELCZAACZAACZBA1hLwbNmS+XOLxAKeZ/u2rM0zE0YCJJC7BMTCpgUbmyOQv97eXrz//vu4\n++675cw4F2699VY5A26g/nbttddizZo1/alZsGABbrjhhv5r84uG88hJ27q3yW72NA0aTzhN\nKztmGvTTu3tUS9NhVzQfERkpc5IPTYfmQ+OxKxqHk3xkY5n4fD5LOII6QjlItFw0T/HcBnlN\neKnhVZyUi+ZBwzutp2OhbLOxTKzUsc7OTvj9/iH1hO3HHiSZKltt153+VjRVTn4vmW7TrdSx\nrq4uxPM3ku1H+J8vIPTIQ4BYscuYyO/G+7kvwHvMsY7f11ouWj+clO1YbNP197J69eqMFZnV\niEpKSjB79myr3umPBDJOIGvmpf/2t78Z+5BUUfrJT34yRDnSnDc2NmLnzp39EKqqqgxFqP/G\n7i/ayKmYjdXu22l9mHFoo+lUnMSh6dDwdhUkM+3KwsyTeS/dT6f50OflYpnEy7fJMp6bVa5m\nHOan1XCD/Wl4J+nQ+JyG1ziclK2Gd5oPk6OTvJhxmJ+aLjuSbl6SpTmZW6q0aTqclos+I1va\nD6csNC9O4tDwKk7iGI0ySVYfk7n15Tb1/1Z4RFQxGobxWJfEa9ZPK+lIlBvloJKJOMy4Ej0r\n1f2RKpNU6VCuTvseqZ5BdxLIVgJZM4OkgHTk5uWXX8aPfvQjfP/738dpp52WkluswmR6Li0t\nRVFRERoaGmyP8Ofl5UH/2trazGjT/qyurjYal/r6+rTDmgHKysrQ3d0tg272Rt10ZLqyshId\nHR1ob283o037U/Oya9eutMOZAbKxTHTvmxWJV8cqKiqM+hHPzUqc6kfrqL58dHTXjujLS/fp\n9fT0yGH0qU+jT/SMiRMnGoMPdl+EhYWF0HqqadC02BHtlGgcTU1NdoIbYbSea33PpjKxUsda\nW1vj1gEtW50ddNJ+lJeXQ2eo7M50mu2Hth3ahtgVp+2H1g2tZ8rC7gh/fn6+UT+ctOnZWCZW\n6pgOLg5+h5jth75f1FiSXbHafvhefRl5zzwFV5wZebvPjsoMeu/Z5yF65FHQGQcn7aC2Hzqj\nVivnLNmVYjm8VmdclKkdyVSZ6OCx9n/stun6btJ3tvLUQeu6ujo72XEUhjNIjvAxcAYIDFzD\nloEInUShS0pOOOEELF68GC+++KKTqBiWBEiABEiABEggSwhEKip1PXFmU6NLx2WwikICJEAC\nmSYw6grS1VdfjYcffnhAvnSk0u7Ix4CIeEECJEACJEACJDDqBMLTZ0CmVzKbDpmBD0+bltk4\nGRsJkAAJCIFRV5COPvpo44DY9evXG1O5jz/+OD788EOcfvrpLCASIAESIAESIIGxQECWbYVn\nzkI0Q3mJyp6h0Nx5gD8vQzEyGhIgARLYQ2DUjTScffbZWL58OS699FJjfbgus7vmmmuMpXZ7\nkslvJEACJEACJEACuUwgcPKpKPidnHmYIWMNGh+FBEiABIaDwKgrSGoI4frrrzc2AOvmWd0E\n68SKzHBAYpwkQAIkQAIkQALOCITn7I3w3vPg2bAOLgfL7aJi1CW0cB9Epk13liCGJgESIIEE\nBEZ9iZ2ZLrX+MmXKFCpHJhB+kgAJkAAJkMAYI9D9mc8hWlQMXSJnR6JqelqsGvZ88tN2gjMM\nCZAACVgikDUKkqXU0hMJkAAJkAAJkEDuEhBz7V2XX4loSSl0JigdUf+qHHVddiUgZtspJEAC\nJDBcBKggDRdZxksCJEACJEACJDCEQFTO6em8+jqEZ82GzgilEjXsYBpl6PzmtYjStHcqZHQn\nARJwSGDU9yA5TD+DkwAJkAAJkAAJ5BoBmUnqvuw/ULRtKzxPP4nw+nWAGGkCZOmdGnHQFXiq\nGYVDhvW7wKmnGwpVrmWT6SUBEshNAlSQcrPcmGoSIAESIAESyH0C8xeg8LDFaN6yGaE1a+Bq\naoQrEEDU70e0ciLCM2YiKnuUKSRAAiQwkgSoII0kbT6LBEiABMY6gWAQnk0b4a6vB4IBY69I\nWDrBkD0nYoVnrOee+bNLQOpHaNF+dkMzHAmQAAlklAAVpIziZGQkQAIkMD4JuEQhynv2aXhX\nfdgHIGZvSeDxv6BYlk8FDzgIenZNtFSUJUrOEGjp3opdHavRHWyWlW8uFOfVYFLJIhT6K3Im\nD0woCZAACaRDgApSOrTolwRIgATGMQH3rjp4Nm+CS86sU1FFJzxtBrzL3of/xX/IvhHpPkci\nfYQGnXOjy6Z8775t/PWecz6Ciw/v88f/s5JAMNyDt7f+Uf7uRlvvDnjceXDLP90WFImG5C+I\nmuJ9cfKi/4MZxSdlZR6YKBIgARKwS4AKkl1yDEcCJEAC44BAVBWdV15C0dNPwdXaAvh8fZvo\nNe96lo0sqTO+6n+6uT6JmIeD5v31Ubga6hH4xJlJfNNptAis2fUsnlz1bfQGOxBBX/mGI72Q\nmjBA6jo+xP1vXoHyghk4b9HtqClZOMCdFyRAAiSQqwSoIOVqyTHdJEACJDDcBGTZXNcNPwMa\nG+A2Z4R2K0ROHq2zTH5RunQTfvDwI5xExbAZJvDyhl/hpQ3/I7EmV3bNx4YjQTR1bsAf3zwL\n5+13O+ZXn2o6Df2UOuTevg06E+nq7u7bk1YzCZFFi4b65R0SIAESGEUCVJBGET4fTQIkQALZ\nSsC9bRv8S36NaCi0Z9lcBhOrSlKe7E0KLVggh3+WZzBmRmWXwNJNd6SlHJnPico8UzgawKPL\nr8QXDnkQ08oXm07Gp6u1Ff4XnoPv/XcBqU995rx3e5FZxy6555kyBd7jT0Ro/wMHhOUFCZAA\nCYwGgdQntI1GqvhMEiABEiCBUSOge4wK/rAEkH1DMPcUDUdqZIWe/7lnhiNmxpkmgbX1/8A/\n1slsocWZo3jRR6NhPPj+F9EVaO5zFuXH/88XUPTfPzP2nrlk9tEl94xP/a5/qjCJuHfsQP6D\n96Pwl7fI8suGvvD8nwRIgARGiQAVpFECz8eSAAmQQLYSyHv8Mbh6e42zOoczjbonyffB+32z\nCsP5IMadlEBI9hc9tvwrSf1YdQyFe/Hyhl8YZZp/z13w/+N5YwbS3H+WLB71466rQ9H//g88\n6+XgWAoJkAAJjBIBKkijBJ6PJQESIIFsJODesR3elR/CSoc2I+mXGSo9N4kyegQe+eAKhCI9\nGUmALrV7Z9s98D70J3jXrE67HrmiYgVRZi4L/vg7UZZqM5ImRkICJEAC6RKggpQuMfonARIg\ngTFMwPfuO7LeaQRfDXJ4LDvCo1eh6trWYH3jixlNwOE75iBvxaq0lSMzEbLyEpDZpII/3MnZ\nRRMKP0mABEaUwAi+BUc0X3wYCZAACZCADQLeFcttd2xtPM4wDe7qyczsha3nj/NAz6/8eUYJ\n+ENenPrRPnBHrFnBS/RwY69SZyd8r7+ayAvvkwAJkMCwEaCCNGxoGTEJkAAJ5BgBWe5mnHU0\nksmWs5SierYSZcQJhMIBrNjxREafu3j7bHgjnozEqQYc8l543phNykiEjIQESIAELBKQQZoU\nJ/tZjGi0vIVlGn6wuOSF65YlIvHcBvtNdq3xOMGjaVCJOLAC5TQN+nyPLGHRNDjNi9N8ZFuZ\nKBcrEq8eaV60bOK5WYlT/Wh4FSflonnQ8E7KRvPiJLzmw4zDSV7MOAwoNv7LxjKxUsc6ZZQ8\nPz9/SI41PypOyyadMonK2TQ9V/3HkLQM6w2vF/6vfA2egw5O+Bizjjn5vWnkGk86PAYnaDTK\nZHAa9Dq2TbdSx7q6upCXlzckqq1Nb+OWZ48VJrLvJ0PyzaWnYHJHBs22y+/Af/W18CzaP2kK\nM9F+6AOc/t40Did1LLZsNS474pRF7O9Nf3OrVq2ykwxHYUpKSjB79mxHcTAwCTghkPPnIO3a\ntWtI/ktLS1FUVITm5mY55L3vFPAhnlLc0JeJ/rWJuVu7Ul1dbTSU9XLYol0pKytDt3RaAmpu\n14b4/X5UVlZCX5Dt7e02YugLonmJx9pqhNlYJpMnT7aU/Hj5rqioMOpHPDdLkYonraP6ItWy\nsSP6EqypqUGvWBvTum5XJk6ciMbGRtsv9cLCQmg9bZWzTnpsLpXSToHG0dTUZDcbRj3X+p5N\nZWKljoVklDxemrVstbPmpP0oLy+HKmCW20HpDBVLCfSp7raLIq2AUXlmoxwYKxAShtO6ofVM\n64fysiOqhGr9cNKmj0qZDMqs2aZruXZ0dMBKHdN3iP4+Y0Xbj/rO9fC4/AhFM7PE0Rt2Y1JH\nWexjHH+PilLb/v77CFRPShiXV5Rs7VA7aQf1PemTmcx4v8WEDx7kUFxcbAyaKW87Etumt7S0\n2InCCFNVVYUGMZVuV1HTd5O+s/W3ou8XCgmMRwJcYjceS515JgESIIF4BHRGsqQ0nsuw3Iu6\nZKZ/77mQKbRhiZ+RJifQG+pAOGJv8C1ezBN6ikS5zqx6bZj+TqI8x0sH75EACZCAUwJUkJwS\nZHgSIAESGEMEQvvsi+ju5X3Dn60oek8/Y/gfwyfEJbCrbZ0cC5u55XX+sFdic2acIV5CXb2Z\nmeGKFzfvkQAJkEA8AlSQ4lHhPRIgARIYpwRCBx4kmyiGP/NRma0KHnU0IlOmDv/D+IS4BN7d\n/HDc+3ZvBjwhyO5Mu8EThovmcYYxIRw6kAAJDAsBKkjDgpWRkgAJkEBuEgjPmo3wlCnDqiOp\nchSeOQu9Z5ydm5DGQKq3t7yLlq7tGc1Jc36n1JvMatdaVyKyB5ZCAiRAAiNJgArSSNLms0iA\nBEggBwi4bBq3SZU17TrrpvvgwYei+0uXj+yBtKkSN87c1ze+BK9nqGU7JxhCngh2Fg80BuEk\nPiOsGLJRZZpCAiRAAiNJIOet2I0kLD6LBEiABMY6Ac9Ha+BuqHe8UEqVIV1spQqRS6yMRUXp\nikyajN6zzkF4zt5jHWPW56+2bTlC4czv7XlmWik+u8aNfAfHWwyA5/OzvgwAwgsSIIGRIEAF\naSQo8xkkQAIkkCMEvO+/pwe5ZCS1kbJyhObNR9GcOWjeaxqiE6syEi8jcU6gPZDYrLqT2JfM\nPREXrHs1IwpSVBTr3o+frAc/OUkSw5IACZBA2gS4xC5tZAxAAiRAAmOXgHfNKsgJ4o4zaGzV\nl/Pbei+4EN5TTqNy5JhoZiNwu4ZH6ejy+vDf+x+CoJhwdyI68xiV83iCRx7tJBqGJQESIAFb\nBJy1YLYeyUAkQAIkQAJZSUAOYXXLAaSZEne3HII8TPuZMpXG8RpPef5eGc+6qtU97gl4aPZc\nPDltBnptmos31HOZNTL2qcksEoUESIAERpoAFaSRJs7nkQAJkEC2EgiHMp8yUboo2UdgStmB\n8HkKMpqwTncNIq4+ww/fP/RI/HvSVATSVJL08GD4/ej+4mWI1EzKaPoYGQmQAAlYJUAFySop\n+iMBEiCBsU5ANsTr0qZMiRFXXmYtpWUqbeM9nrlVJyEY7s4YhjB82O7bsxwuIDNAXz3qOPzv\nPvvLcjuXJUVJDyiO1NSg8xvX0jBDxkqGEZEACdghQAXJDjWGIQESIIGxSEA7qJUTM5az6IQK\nmvLOGM3MRlRROAvzJp0AV4b2IrkQxoa80wcmUhSj3y7cD8efcT4enTEH3aI0GXuLfD5EZa9S\n1PjsW0IXkbO3ei76HLquvk72q2WuDg5MEK9IgARIwBoBLu61xom+SIAESGBcEAjttz/cL/0L\nrnDYUX71gM/g/gc4ioOBh5fABYfejBueONTxQ8LwYqP/VHR64i+JqysoxP899Ahcf/BiPFxW\niDltbXDp/jSpI/5Jk1C07yK0ysajUE/mzY47zhwjIAESGJcEqCCNy2JnpkmABEggPoHgwYfA\n/69/xndM566cgxOSuCjZS2DqhP1x0sLv4LlVN8MNe3vFIhKy2z0RKwovTpnRoMxQFs+ajZDM\nHJniF0t17tJSoLnZvMVPEiABEhh1AlxiN+pFwASQAAmQQPYQiFZVI3jwodAZILtizB4ddDAi\n1TV2o2C4ESJw1Lxvyd6hI2SBXPrjpRHILKGrCC8XX4+QqzBliid4PaiMUY5SBqAHEiABEhgl\nAlSQRgk8H0sCJEACmSYQjgTRE2pDJOpseVzvmWcjWlJiy2CDscekuAS9Z56T6ewxvmEg4BdF\n+I2ib2NN3vmIwgWdEbIiqlC1u6fi+dJbZWnd5JRBvGL746Ty8pT+6IEESIAEsoFA+kNG2ZBq\npoEESIAESMAgsLnpdayo/SvWNjyPzkDDbioulOVPxQHTz8c+VWejsmBeerQKCtB12X+g6Le/\nBnSviMX9SDpzFM3XsFcAhalnFNJLFH0PB4E8XfYmMzsrC7+AWv9iHNC1BBXhj0RR8un80IBH\n9ilPbplt8mNFwecNowxRl7VuRET2GH2uhsYXBgDlBQmQQNYSsNayZW3ymTASIAESGJ8EGjrX\n4smV38H2tvdk3B+DZo2iaO3ZhlfX/gYvf3Qb5lefilPn/xTFeVWWYUUnViHwre+i4N67EV6/\nTh4QMZ4TLwLjYE/paIen7oWeL1xqzD7F88d72Ulgv6JCvN7WgSbvfLxYegvKQ+swJfgmKkMr\nURjZBbfMSAbcJWj2zEGd72Ds9B0m5x35LWfGJ9bszqiYgJn5+ZbD0CMJkAAJjCaBrFCQIvLi\nXb58Od5//33UyBkIJ5xwAvJ4dsZo1gs+mwRIIIsJrG34Bx5bdiV0SV1UxvoNBSVOesPRvhmA\nj+pfwJbmN/CZg+7FpNJFcXwmuCXL7Ap/+CO0v/Yqwk89Ac/WLYblMYgyZIi03Tq7FNlrGgIn\nnISQWCOj5B6BkyeU4532TgSifTWpxbs39C8TojWlRvYdXTdtSiaiYxwkQAIkMCIERl1Bamho\nwGWXXWYoRAcccAAeeeQR3H333bjjjjtQqpZtKCRAAiRAAv0EVNF5+IPLEE1jn1FEFKWuYDPu\needCXH7EsygvmN4fn6UvYvq7W6yPobMTnm1b4BYzzSqRklKEp0lcYomMkrsETpPZnV9t24mA\nxaWUVnOqZj5KZfner+fNRrEDox9Wn0d/JEACJJApAqOuIKlCNEUOiPv1r2Wtu0h3dzfOP/98\nPPjgg7j88sszlU/GQwIkQAI5T6A72IKHPvhSWsrRnkxHEYr04IH3LsEVR74At50DQkURCs9f\nKHtQKGOJQIHMCH5zr8n4+ZbtCO6eRXKaP1WO5hUW4Na9Z9FynVOYORD+V7/6FZYuXZoypXvt\ntRduuummlP7ogQRGm8CoK0iFspH34osv7udQIJuDFyxYgB07dvTf4xcSIAESIAHglQ2/Qijc\naxuFWrdr6d6CZTsewYFTP207HgYcewTOrazAS61teLW13bGSVCqzRbqk7kyZmXKHQvB8tAae\nHdvhapeZR1nFFy0uRnjSZIRnz+Hs4xipSosXLzYGu+NlJywzk48//jjq6+uN/l08P7xHAtlG\nwBUVyaZENTU1GTNIV111FS688MIBSbv22muxZs2a/nuqSN1www391+YXt4yGeaSBDknDbDd7\nLtlUqvHoD9uueL19+qemw65oPnSPlpN8aDo0HxqPXdE4nOQjG8vEZ/E8jmBwoCUnZajlonmK\n52aVsYZXcVIumgcN77SejoWyzcYysVLHOmXZmt8/dMP74PYjEOrG9x6dJMYYhtZHq3XO9FdZ\nNBM/PGuleZn4U+qWa8N6hJZ9gMiuOkR7euGSpc+uadPgOeAguKqrE4eNcXHafmSqbLVdd/pb\n0Ww5+b1kuk23Use6uroQz9/g9qNb3hOffutdfNjW3r8fKaYYU36tkvboxkULcWLVRLg62hF6\n/K+IvPKSaETSzdD2znwXeuTdGO17H3kOW4y8T12ESFm5o/ec0/e1lovWDydlOxbbdP29rF69\nOmXZJ/KwYcMG3Hjjjdi6dSu+/OUv47zzzjM4J/Jv3i+R/Y+zZ8uyXgoJjBKBUZ9Bis13IBDA\nj3/8Y8yYMQPnnnturJPxXfcrxc4sTZw40eioDvaojZyK2VgNdrdybcahjaZTcRKHpkPD21WQ\nzLQrCzNP5r10P53mQ5+Xi2USL98my3huVrmacZifVsMN9qfhnaRD43MaXuNwUrYa3mk+TI5O\n8mLGYX5quuxIunlJlmbTbd3Of4lyZH+wJTYfjZ2b0NS1EVUle8fe7v8elY5s6F//RPCxR4Fe\nmbFyS5u6u3NrjKj5/Ag/eD9csi/J/9nPw7P33P6wib6Y+Ujknuy+WR6jHYeZRqfp0PAj2aYn\nq4+xbrpP6K9HLsZ3V6zCg9u2G9lNNazWN8wD/HDBPFw5e6YRJvTqywjc/cc+xchUimIHG0N7\nlPzwW2+h68034f3khfCffoaJOK3PbKkfZjrMz7QyEeM5tkxibqf11UkdNR+kbbrdeqqK1X33\n3Yd7770XCxcuxJIlSzB16lQzan6SQNYTyJoZpDbZ9Pu9730P+vmLX/wCqvxYkZ07dw7xpsYd\nimStvCpUdkf41Yqe/ml67Eq1jK5q46LTynalrKzM2JelyqMd0ZHpyspKdHR0oL293U4URhjN\ny65du2yHz8YymTw59eGGmuF4dayiosKoH/HcrELSOqr1Q0d37Yi+vNTqY09PD5qbm+1EYYTR\n31pjY6PtF6Euk9V6qmnQtNgRfZlrHDqDbFe0nmt9z6YysVLHWltb49YBLVudHTTbD907tL7x\nRbt4BoZz5eGk+T/DEXt9auB9uXJJegr+cCfc0n66wskVMj0UViVw7PEInPYJ1XKN68H/OW0/\ntG5oPVMWdkf488XEtNYPJ2364DIZnE8r1+VyWKrOGtp9N5lturbn2q5bqWP6+x78DjHbD933\n29LSMiTpyzo6cdO2HVjR2YU8KVe1cGcox+JTlSKv3NP9SmfUVOMr1ZWYsnsW1P/0k/C//G+4\n0lyxoGdohfY7AD0ym2TMNg1JUeIbOkOpMw5O2kFtP3RGrba2NvGDUrgU69JBUQyUqR1JVSZW\n46yqqjL6P3aVG3036TtbefbKAEldXZ3VRxv+zFmjLVu29M8aad7SEc4gpUOLfoeDQFbMIKki\nc/XVVxtKzW233WZ0lIYjs4yTBEiABHKRQDDcjU1Nr2Ys6SHp2N66eQU2+E7AZ2v2nI3kam1B\n4a9+AVdPt6UOroywGWnyv/IS3BK256LPZSyNjGh0CexfXIR7FszFZllWuVSW3H0knf6GYMhQ\njlQZWlhUgKNKSzBPBprMARbfa6/YUo40py5RLLzLP4BfOuaBT5w5upnn020RUOXw/vvvN2aN\n5s+fb8waqVEGCgnkIoFRV5B0ZOLrX/865syZYyyv4/lHuViNmGYSIIHhJLB611MZW15npjMs\n8wG/2L4Dy2WG4KezpsMjnZuC399pWTky49HPvs7tMvhk433w+BNjnfg9xwnMyM+D/qUStxhW\nyvv74zCV5lT+47lrPVJlOyxLNsPz5sfzwntZSmDjxo3GXqPNmzcbs0YXXHCB42XXWZpVJmuc\nEBh1BemWW24xpqTVIEPsRkCd3p01a9Y4KQZmkwRIgAQSE1hV96SoM6l2gyQOP9jFgwA80S6E\nZALoHy2tKNmyHT/avA5uWYqV7tIoM27t3OY99wxCBx2MqGy4p4wvAnlPPC4Z1iWW5kI8m/mX\npXl5f/sruq79VtpL7Ww+kcEyQOCee+7B2rVrjf2s+l3/4sn06dOhK4UoJJDtBEZVQVKDC6+/\n/rrB6Jvf/OYAVocffjhuvvnmAfd4QQIkQALjkcC21nczmm3txi7oeQQd7r2wJe9EPFG3Cz95\n/tmUe45SJkL2pfj/8QJ6z/9kSq/0kL0EIpEQWnq2yeHCTbKkzoOS/BqU5E1KmGD39m3wiLXD\n+DvQEgaL66BxuJsaxTT4aoQX7BPXD29mH4GzzjoLhx12WMqE6T4tCgnkAoFRVZD0gNiXX345\nFzgxjSRAAiQwagR65IDYTIvYp8KhXb9Cj3sC9mmoQlRmgJyKziL5lr2P3nPP5+i/U5ijEH71\nrmfw7rZ7saX5dYTFnLzYx5RUqHGGCPK9ZZhffRoOm/Yl1JQsHJA674rlYrVBuhOmxboBrvYu\nfGJangqSPXajEeqggw4ajcfymSQwbARGVUEatlwxYhIgARIYQwRcLjW3m7kldiYal3R8j+z4\nOQ7a+U1He0fM+IxPsWToFuuiEZr0HYAlmy92tH2AJ1d+Gw2da2WvmyrKfcvkotijNPeEWrF8\n56P4YMdD2LfmbJwy/3oU+icY2fKsXwdXBpUjXeapM1IUEiABEhgtAunZXRytVPK5JEACJDCO\nCRT6KoYl98ZyJoSwX8s6eHdbpHP8IJlJcDc2OI6GEYwMgXc2P4C73zoPuzpW7zYEkngPUd85\nXFGo0ZA73zgF9R19B7e7HJjnT5RLl4MjNhLFyfvDR+Dhhx82rNYNfsILL7yAG264YfBtXpNA\n1hOggpT1RcQEkgAJjHcCMyqOkuVOw9NcexBEebA1c4j1LKTgnoNAMxcxY8o0gXc3PYwH3/5K\nSsVo8HN1+V1nb70oVuejqXOLzB5lvrztGgsZnFZejwwBPc8t3jl2euaXeZbbyKSETyGBzBDg\nErvMcGQsJEACJDBsBBZWn4HVYskuPAzL7DTRnX492LJvuZTjTOgBoXIoKyW7CdS1r8Ldb1wi\nSzf3LKNLJ8W6LykY6cZv/3UWrsk7AS6bh6MmemZU9zRRcobAZZddFjet55xzDvSPQgK5RmB4\nhiRzjQLTSwIkQAJZTGBu1cdRnMSKmNOkby9pRyBTbwMx1BCW85Ao2U3gmVU/lJkjZ/vadMld\nc+dmNJcGd+9aylyeIxWVmYuMMZEACZBAmgQy9UpM87H0TgIkQAIkYJWA2+XBaQt+utuqmNVQ\n1v2tmrgTXmd95f6HRcsnIFrJzm0/kCz8srl5Kba2vG179ig2S6FIAG8WvNVnxS7WwcF3nT0K\nz1/gIAYGJQESIAFnBKggOePH0CRAAiQwIgT2nngCjp71Nbhdvow/b0tpC+oLTNtl9qPXjm3w\n8CPsR8CQI0JgmViic+lesQzJB9WbgHAoQ7FJNDILGTzw4MzFx5hIgARIIE0CVJDSBEbvJEAC\nJDBaBI6dfS2OmvlVWc6kpxhlUKSvfPuiCQg56DRreqJ+PwJHfyyDCWNUw0FgfeO/dxtmyEzs\nbfnd2DBP6qRHz01yJlG3G6F582km3hlGhiYBEnBIgAqSQ4AMTgIkQAIjRUBH/Y+bcx0aq3+O\nbldlxpQkDwL4y/TFeHqvGeiVDqotkbT1fObzgChJlOwlEAr3oDNQn9EE6tlJz8xZJ8vsfM7r\npNSj3jO5qT+jBTSCkdXW1qK3t9d4Ynt7+wg+mY8igcwSsPkmzGwiGBsJkAAJkIB1Ah+bfBI+\nKviMBHC+TEpnftrd09DtrsZ3DzsK71dMTEtJMmaOtFN73icRnjvPeiboc1QI9ITahuW5K0O1\neO2TnwbsKtiSqqihZH8O0aqqYUkjIx0+Al1dXbjxxhtx8cUXo66uznjQd7/7XZx77rm47rrr\n8Jvf/AbPPfcctm3bNnyJYMwkkEECVJAyCJNRkQAJkMBwE2jt2Y66tRdh/67finrkfKFdFB6s\nKPiCkeyALJG6+LiT8eDsuWLEWY4zkg5rMjFMMYtJ7+4vXobg4sOTeaVblhDwuIdnhi8MH74U\niODDCy+C1gtVdtIRXVrXIwpWaNH+6QSj3ywh8MADD2D58uX4yU9+gunTpxupOv744zFhwgQc\neOCB2LFjh6EkLVmyJEtSzGSQQHICVJCS86ErCZAACWQNgfqONbhz6alo6d4ku5Ccb4oPw4tG\n7wLs8B/Zn8ewdFSvP2gxzjzlTPx70lQx/+1GRP6iPlk+Zf5J5zdSXIzAscej43s/RFj2jFBy\ng0CBrxzDoSR1eCZBT1T6vChKtV/9OiKTp0CVnlQqvO5bctVI2G9cg9Ahh+YGRKZyCIH3338f\nF110EQ4/fM9Ayfnnn4+2tjbopypOp59++pBwvEEC2UqAJ7Fla8kwXSRAAiQQQ6Ar0Iz73vs8\nAqEO6XQ6t8kdlpmjXlc5Xiv6QcxT9nz9qGwCrjzmBBSKRbEHSgsxu7UFCIUQLSiQzu9kowO8\nxze/5RKBySX7Y1vr2xlLcgh+UbT3MeLrjUZxeyiK74jC4/1wBXyv/BueTZv6nmUacZA6JTbG\nxRDDXnCdeBIKT/w4WlpbgZ6ejKWJEY0sAb/sPewedFhwR0cHOjs7sXHjRixatGhkE8SnkYBD\nAlSQHAJkcBIgARIYCQL/XPdf6A40ZUg58qHdsxdeKf4xgu6SpMnvkk6td+E+CDo8VDTpQ+g4\nogT2qTkLte3LEQlCZgflP5czhVuNfOzw9Zl3D4ri81B9Iy6fPAkV+y5CSP4QCMBdVwuXbNp3\nqWIks48RmTWCLM8sKiqCS2aaKLlN4OCDD8Zjjz2G+fPnG8qQzhzdfffd8Ej7MXPmzNzOHFM/\nLglQQRqXxc5MkwAJ5BKBpq5NWLbjYcfKkS53isiyupX5F2Ft/nmIWDhTKV86rzML8tErm7Ap\nuU2gp86L5ncKULrqOpzW8H/gjvbtRwp4m9Bc9iZ2VD+KHZMeRNjTbTmjOhNZ5z0EnbLEzhSv\nLMH8R0sLLqya2HdLZhci0/r2pZh++Dm2CHz605829iBdc801xr4jVZCiogzrdbEoxBQSyDUC\nVJByrcSYXhIggXFHYGXd32TfiA+hSJ/5XPsAXDLSfzjWFHzKUhS6zf7E6onwiZLk9MmWHkhP\nw0Ig2OHC5ofL0bYiHy45qigacsketj3iD1WguvEUTGw+HvuuuwEr9/4+tkz5gyUjiWooZFnh\nl/ZEJt8C0jF+q61jj4I0wJUXY5GAzhT9/Oc/xxtvvIFVq1ahQJbiLl68GLNmzerPrlq4i0Sc\nzVb2R8YvJDDMBMakghTsALo6ZaRUd4xSSIAESCDHCayueyoDypH2d6OYFHzPMg1VkL48c4Zl\n//SYnQTW/6EEnVvkdR+VGpDAtoeqTJ5IvvG33+r/xaT6s/DOfp+T2aTEM4cRmT16r/A/0OGZ\nOiTj67mfaAiT8XBDl9pNnDgRjY2NWL9+PZqbmzFp0iRUV1fLisr88YCAeRwjBGQ5sAz15LCE\ndbPnbtnxsgsb/y6HFTboa13EHUWF7Bud+6kIivfqu5XO/3oooxM87t3rqp2MmDhNg+ZXR3Y0\nDU7z4jQfyiO2vNIpC9OvUx6xZaJcrEi8NEdDMv4accHl31P/rMQV60fzouKkXDQPGt5J2SgT\nJ+E1H2YcTvJixhHLKJ3vGl7TEq+8rMaT6TKxUsd0E/PgjkNvs5jYbpc6JlXEXxbBD56uQCCc\nuKNqNX+mv7+V3SvW6crMy7ifPmF5RMUEPHzkYrYfuwlpHVNx+ntx8jvR58e26Vbq2MvfjqC7\nri/tGt6KhF09aC/+EK8cdqzsUwoMCRIRheqjvHOwYtDskelxinSG3zrhY+Zlwk+z/XDyu9XI\nM9F+aDxOy1bjcFK+sWWrcdkRpyxiy0TLRWeErMjDDz+MRx55xFCO1L+2az27FeXS0lJ89atf\nxcc//nErUaGkpASzZ8+25JeeSGA4COT8DNKuXbukMQK2PtC3fCAa3q0cKS3pwDZ9GMUbP3Zj\nxsXNKF1gfZFIXl4e9E/X0doVHTHRhrK+3v6p5WVlZYZlmIBscrUjalmmsrISeoibk1OtNS/K\n2q5o46ibcXU0KRiUTcE2JNNlMlkscVkRM9/hHhfq/y15eKcQoba+eub2u1Cybw9qTupA3sT0\nlCXlofVDy8aO6EuwpqbGOLVcudoVc7TP7ku9sLAQWk9bxQqV+TJMNy3aKdA4mpqa0g3a71/r\nudZ3s7z6HdL4kukysVLHQmIZTtPcW+9Bw6tFaF2ej3CnKu/m2JUHx+V9iO01D2Lj9NvRnb81\njRzF9+qNdsu2+sQKknalS6RMfjarb9+IKnFqkcquOG0/tG5oPdP6obzsiHbWtH44adP196Yd\naCdtenl5uWHZy247aLbpZplYqWOeIm2b0lOQPNF8lHTsiwNWLsF7iy7tR66m4XUm8t3Cq7Ap\n7+T++4O/+KRts/Jb1N+cvh+0XOy2H145d0k71E7aQW0/fGLG3kqaB+fVvNa9NqpQDLbmZrqn\n+oxt01tkD5ddqZKDdhsaGmwrarFl0ttrrd/0xBNP4L777sMVV1yBI444wmjPNT/KQ/OydOlS\n3Hrrrcbv55RTTrGbNYYjgREjkF6LOWLJSu9Bja8WGmurByhHZhSypEAVpS33TkCwdUxk18wZ\nP0eQQPd2L9bcKC+dl4pFOdoz8xQJuNH6QQE++p8qNL9dMIIp4qPGCoGo9F23PVZq1KGmNwt3\nK0eaO1XC+xTxgt69MGvr13DSq2uwcO1PRXdy1paFXYmXuugG+3LpcC6ZNweV0mGkjF8CqiRN\nrf00KppOkDOOfGLgw42t/o/hqbLfJ1WOlNjM/LzxC24c5vxf//oXvvKVrxhnHenhsKocqejg\nlyqfZ5xxBj7zmc/gpZdeGod0mOVcJODsLZsFOdbORd3zJYirHMWmTwZj6/9NSyqxSPjdGoFA\nixsbllQi3CWHHsbOUJrBRQFXJXzbo2VoW8lOgYmFn9YIbH8uDy0yK6n7Q7QeJRJPNE9WDfsw\ne8s3cdQ7z8MTsteehZCHXnf5kMfok/WFcFhxER7eZx7miOU6CglorZi3dgneLvom/i5LM98u\nuhY97sqkYPJEyT60xF79TBoxHbOWgBpl0Bm4ZDJ16lRHK1mSxU03Esg0gZxXkLp3yqhWIHGn\nwgSmHdu2Vey8mjz4aZ3Azr+VynkhWsdS1DPp4KqSpGeLUEjAKoGOjbKPLJ7inSACHdWf0Ho4\nDlv2YJ9SlcBfvNtRqcO1vkOGOOW7Xfj4hDLcKbNGv5a/ihQdnSER8MaYJeAWBamqfQai3Wek\nPDPLhKCHxZ4k9Ykyfggce+yx+PWvf23MEA3eEqDXr776Km677TYcffTR4wcKc5rTBHJ+D1Ko\nQzZmy4qnRJZ5YktHZwAoJJAOAVV22lbqSHoK5Wh3pJEeN9pX56NsP54Inw5gI04QAABAAElE\nQVTn8ew3rzJ9s7c6m1TZfJwxm7Rhxi8t44tKZ3ez/8Qh/p9ctJBK0RAqvGESCHgi2K92IraV\npd6Hpks0Ty4vw2TZ70UZPwTU+ILuIbv55puNfbW6j0lnlXQ/lmmI5rzzzsOnPmXtiIHxQ445\nzVYCOa8g+UrCMvpqDa+3OP2OiLWY6WusEgiIjQ5DAbdYx6JSxbo2+6ggjdUKMQz5ctkct1El\nacGGH2HrlLsQ9KXe0K2zR23uadjpP3xILlpCYSpIQ6iMnRu9jTYr2W4E/rAYOmoutQREh5K+\nvpc1AziWIqSnnCCglu/OOussnHTSSdi+fTt27txpWLNT4xkVFRWYP3++YagpJzLDRJKAEMh5\nBSl/cgiegqjsD0k+wu/yRFG6iKP6rPXpEYiowSwxFw+rS6BkmV2o01lnJL0U0vd4JuCKejCl\n7lPYvNeSlBj0zJq3iq6J609W2FHGMAGnbZIcaIAJPamXqGvLd8OsGZw9GsN1KVXW1Nrk3Llz\njb9UfulOAtlMIOd7cjr6Ouk0GebXTmxCkbFTUZCqPianx1JIIA0CblklEk2ycX5IVFIPfaWc\nqRzChTeGhYBbDvacWnth0ri1ZVTrY28W/R+0emfH9VvFPUdxuYyZm/L+cyqpmkHtTHxn2lSc\nyL1HTlEzPAmQQBYQyPkZJGVYsbgbaoa56Y2i3Uhjh0PlxSB7lGZe2gwuscuCGpdjSfDrqpI0\n+xZFc6ydG5FjKJjcLCSgI/tl7QcnTFmfaWYvXiv+Iep9+8f1Nz3PjyIxxUsZuwRk9VO6zdgA\nGFEJ3VDYPeCeeeGXyAvEpPPPZ8/AkaUl5m1+kgAJkEBOExgTCpJupO/aKtP/OoQ1ZJhL3gwR\nOYxzhxdFs+0dtprTJczEOyLgln5jxWFdcsZRoQVLY1H4y8Mo3pv1zBH0cRa4tyl2QCf9zPvC\npQipCXBXQNQlnS3yyWdEurQurM87HavyL0pofcwnndvTKyak/1CGGFcEtDZtq2iD1hcVVafV\nUl2Z14MrZs7AeWLSWy0hUkiABEhgrBAYEwpS7TMl6K2TrAxRjnYXk+wLqX2yFMWiIBVMsXcK\n+1gpcOYjfQKTTmtH+5o8BPWA2ER1TMdnRUGf9pkW2N10n37K7IfwrF4J77Jl8NTVIiDLq/Kq\nqxHc/0CE955rP1KGtEWga7uz2Rsd3V9d8CkURBtkmiAqZxxNQJN3HnZ5D5DqmvxcEu3SXliV\n/EwbW5lioDFFQGzF4vB9fJhZUW0o4VV+HxYWFmC+WCmrrqoyNuNHpe5RSIAESGCsEMh5BUln\nj5qWFqUe3ZeeQMNLRZh2UetYKTvmY4QIqBGQWV9uwrrbJiLSv3oudrRUOgZyOfWTLSicJhUy\ni8XV2oKCu/8Id22tbq6CSzo12q3xbtkM79tvITxjFno+fzGiYqLV1dwEd3294S9SWYXoxImp\ncxYMwr1jO1ydnUYckSlTIacHpg43jn2k0GFSkmnLCxgKUkqPgzzobMAVk2tQyfIZRIaXgwno\nxNHxvVWYMMXa4a+uhnr4ViyHZ8N6uBob4QoFEc3PR2TSZGMQJrjvfoBs5qeQAAmQQLYSyHkF\nqXu7TwdNU4uM/HdsSG2FJ3VE9DHeCKgluy0PlMtZW6oUxSpGJgm9F8XOx8tQNCOIvEqLNsHN\n4CP06WpvR+Gtv4SrqwuuyEBDEua1Z8smFP7yFqMz467fJWtppInQ7IVCiFZORM8ZZyG8z75D\nUhwVhcj9yEMofv1VYxYDsicB+gzpWQUPOxy9p5zGDtEQan033A5aYVVvV1Y3Jog58W1Vjg6X\nZVFfmlSd2BNdSCCGQNdWHyYcEn8fkunNJQMqeU/9Hd5VK2XURZZ6imLUL62tcNfVwfvhCuT9\n9TEEPnYcAsefCLH93O+FX0iABEggWwjorp2clkivTP5bzEUkEK9zm9PZZ+JHgMCufxajt1YU\n8WSmvmUZZyTowtb7ykcgRfYekffoQ3DJoX2mMhQvFlc4DFd7m8wc7TL0Ilc4JJ0c+RPPrsYG\nFNx7N/xPPzkwaFMjun74PbiXvgYjvChGRhj9lPh8b72Bol/dAldT08BwvHJMQMtl+iSXsf3S\namSqHH2srBQ3zZkp+ivbRKvcxrU/ad8CjcmXgvreehNFv7gJ3jWr+9qLWOVoNzyjHdH2RNoF\n/8svoeimG4CtW8Y1WmaeBEggOwlYVC2yM/GaKt8EGdm2uK1IN9BTSCAdAnrwa8NLxcmVIzNC\nmaXs3ulD56bsW1KmS168q1cZHRMzuYk+jU5MHEfjvig9/pf/bSzHM7xIR8f969sQbWk2lKI4\nwfqUJp29+r2c1SP+KZklsG+4DLfNnY1pYo3OKwpPokZdrY0Ve9z41rQpuEWUo3yd5aOMCwJ9\ns9/OsposDt/zzyLvL48Ygy/JBmBiU2AMvnR1wnXLjQhL20QhARIggWwikPNvyPxqGYmq0E5X\n8nV2Lm8U5QcnXx6QTQXDtGQHgYAcsaVKklXRAfmOj7JvKaf3o48ythdIO0D5TzwOyH4j39tv\nyiZAWeIl95KJhnGJEuV7c2kyb+PSLepIZ5Slw2vzDPPKf913AW4SU8tqlW6iz2tYGlOlVi2N\nHSXml78/fS88u98+YpTBwl6ycVkSYzfTbn/y96OVnHuK4v/Gw2++Af8/nk86M50oft0DqYMm\n3b+4WUaixMgIhQRIgASyhICD1e9ZkgNJxpRzW7HpjxWJdSRXFN6iMCqP4EGx2VNquZGSsBhl\n0EOGrR4Wq8vwAi3Jl6KMRs5dbS2Znb0R5ciz9iNReN5IOHM0OJ/GcjvxHzzy6MFO4/o67NAq\nfKijb5zLLdr58eVlxp8JtLy8HJ2yPywo5UUZvwTya8Lo3Gh/PNTllUGRSXGWakjdCt31e8PY\ni126qsQjEIDnvnuAK75iNxqGIwESIIGMErDfYmY0Gc4iK5kXwNTzxTqdKEJwDxwp05kjX1kY\ns64Qi1x+Z89h6PFHwKVDCLL+3rJIHXTnD6yDlsMOp0d/vvw2Mvlzd8Gzc4dsuq5NK9WG4Ye0\nQox9z4VT4o/MW8651M90Zjktx0uPY4eAwyYpEorio/w/ojfUMYBJnswcpZo9HhAg0YXOMG/a\nCM9HaxL54H0SIAESGFECY2IGSYlVHNaNopkB1L9chM51BYgE3HJoZxBlB3ah4vAuuLNvW8iI\nFjQfZo+AX6zaWt3jpk9wyeRR4dRRHq0XQwz+116B94P34ZZlbfB4ECkty+wMki5plc3WCKfZ\nudc9SLqsRtciUgwCvuI0GQ7i5vZL5zKTuu+g+HmZ+wR66pzNavfk7cSL3d/FMy/9N9ZV/BwH\nTliIU0uKcKwumdV2IBMiSpLub+yeNz8TsTEOEiABEnBEIKsUpO3bt+O1117DhRdeaCtTvY1e\n9Mgm+UCzdL6kDxYJepAn16FOVZacdUJsJYiBcp6AR7YTFYri3bVZph8tzCS5ZAazdN+eUcu3\nZ91aFNxzl6EMqSU5UzyiNDkcRDaj6vuU2ajohAmIlpTA1Wb9bLFocQmVo4Ek0b7RWTOcN6kX\nbT074ZFRoEJfpX3LdFJftP54xKqYmoSHWww+TKhA+MCDgMlTBqWal7lEQM8LtCsRBPDh3O/A\n4woiP9KAfRquwgvBW1C7woujZcDDWe3dkyodMvGsX9encHkzFeue+PmNBEiABNIhkDWtUEdH\nB7773e8iLy/PloK044kSNL4m5ykYelDf6LSaAG9+vwCty/Mx80tNMsPk4C2RDlX6HVMEpp7b\nhnW3ThRLdimyJcrR5DPa4RmlJXZuOey14A93Gkte4s3P6D1VkuK5pcjZUGfZ0xKav8A4cNb3\nxuuWrONFZSYrtEgOiKQMIOBkeVzY1YM387+Hja/cbsTpkXXEM8qPxL6TzsGiSecOeE7CCzkX\nS5dKaTn2z+6pcq2zfHIOVvezTwN+P/zHnYDAMcdmzNhHwvTQIeMEdKlwOjPhZgL0nK1efwN2\n1Dxk3HIbL9gAjmz7v5jZ9A2EZOrSm7JhNGOz8CmzSO5ddTAOmLbgnV5IgARIYLgIZMXCjDfe\neAOXXHIJduzYYSufTW8X7FaOtOs3qPsnm+b1/CM14mBuZrb1EAYatwR0c/KMi8WMtexnG7zH\nrQ+K3Je9R1XHdRjLOUcFlHQsCh74c0LlyEyT/jpUSdK/wZLo/hB/qugcdAiiZeUIHHf8YOfE\n1/KAgHSyKQMJeBzsjXRFvdg+6YH+CMORADY0/RtPrfoubn/1aKyufb7fLd4XnTEq/u+fwbdU\nlFxRioxzrPRTPKuFMeOgT90f0tNjWCoruunnae87i/dc3hthAnIEgR1xSU3ID9SgrP2Q/uCq\nJPmjbVjQ8R78kVSjRv3BrH2RmSNXm5gOpZAACZDAKBMYdQWpXZZyfP/738fpp5+Oz3zmM2nj\n0NHX2qdk2U7SF4BsYg65jP1JaT+AAUhACJTM78Wcr8kp8VW6bC1WlYhCzd9Ou6gFk04duIF5\nJMFpR9fV0jp4eCBuEsyu0oBcyGxBeO48RKqroTM9iUTdouUT0HPueYYXVZKin78kpQGIqMTf\n86lPS9jsPUg3UZ6H/b4WhE3RU4/ypAM7WMLRANp6d+IPr34Kr6y/bbCzce1d/gEKfi8zjr29\nohjtWY4Z17PcNBQoPc/q1l9CZyspuUNAt/3ZFZ1FWrTmlgHBZYgE5eGtltqbAQGtXDhJrJX4\n6YcESIAELBAY9SV2BQUFeOihh1BZWYm77roraZKvu+46rFmzx8rNggUL8P2v/Bzh7tR6nppf\n7lxVhIlfsHZGjZ4w75Z9Fn5ZWmJXNLzKxIn2zx3xSIdU0xC1+dLQfKgoZ12+aFc0L07yYbJQ\ns8NO8jIaZaL57pTJzY/u9iIgWzMGzlLKDGWPG9seKkepWEusPtR6T8RkUlhYaLdYjHBaP0pq\nd0CquGVxyUit9/Ir4aqugVfOzAnLXhOX1I+odJZDf/ojImKOW4079G/A1j0Bst/ALUvkfF++\nHAWFspx1t7hlFilaUYGeJb+Vzrbsv9LlWaZoOInX98XLkK97WRKI+XtzUsf0t6LiJI5MlonV\ndIR70yi4QfwiLrHgWfsprN77x4Nc+i6jsvzp+Y9uwHNtYcybfjFOlDOQFpYUIyIKTvCB+0TX\nT29vpnFujZRv0V1/gP/6n8IlyrIVUa5WecSLzyxbbT/siqZB65mTNl3Da1qc5sXn8zlqB5WB\nthv5+WKd0oIUToqgc2vigY9kUcgiOlS2Ho2izrnoLFrb77XdJ8tsZebcZ2FvZn+gFF90BrNs\nyhS403xnZlv7UVS0p31MkeW4zvqudlrHtE9lV8x2sET2mGo9q6ursxsVw5FAzhIYdQXJKx0o\nqz/k+vp6qCEHUzRcqM0Dt+TCyiZU7dyaL1ozjkSf2uCqWPWfKB6ncZgvZLtKhZkus3NgXutn\nZNMmhN55E9FaMdUsCpRH9pR4Fh8Oly++UuiEhcnTbHhj02H1uxmHk3SYz0onjlC7B+/d6EJQ\nj9GK0xlQ5VvlwztEmS2KonKRcZnyPzM/5mfKAAk8GOF1WYpaiLMq0ll0BwPwzpxpdBqNjq+G\nlZeh98qrEDnrXITfeQuRrVuNTrRrylR4Dz0M7ukz4j7BI8pPwf/8SsK8jfCaVYi2tEjnubyv\nTh18qKF8xQ0Yc1PzkU65xAQ1vpocMxGHGdfgZ1i9TicvvuKoGJaxGvNAf55oPibvuiChgqS+\nZW5QfuM34vfdU/Hfa2dipvzW//rc31EkS+dsiyjC4QfuR95VX7ccRSbKZbTjMDPrNB0afjja\ndDN9gz/V2IwTCbm7UN14KjbGKEi7ipskSh0Qsq/gx0uTd9p0sQaanjJn/l6dloumJxNxmOmJ\nlz8r99JpPxLF5yQfZpz6vnZaT824+EkCuUZg1BWkdID96U9/GuJ9/ZsNiISsjZS488MyElI/\nJI54N3QER//aHKyHrtblSjLzo4qdXSkrK0O3WCALyEF6dkRHS1WR1MMidTmjIbLBPv+RB+Fd\n9oGxNEpH7fQ1F3r9NUTvvw/dF1+KyIyZfX53/6952bVr14B76VyUlpZCR9WamppsH1qZ6TKZ\nPHmypSwsu0tmVbplpDaOcjQgAoG4fEkU87+zy1DaB7jFuVAeWj+6ZJO8HdGXV01NjayQ6kW3\n2wOfjpBb7PRGxV9LMISwjAzqSGVjY+PAF6HO/Bx+ZN9fbOLijCTqCKPW0zappz2z5wD6Fyui\nLKUSfZlrHFo/7IrWc63vTkY7M1kmzc3NsFLHiqaHbI/uK6ui7tmWkC3sXIKXSv4Le69bA7+W\no81ZaeNh0maERIFukzYkUjMp5fOdth9aN7SeaT0Nxc5QpnzyHg8626L1w0mbrr+3iPx2nLTp\nTg/vNdt0NWykf1bqmKZZuv57YKT5zRMpQHnbwQNCra+oh5yhnVEJy0DMLn3npvne1YFWne3Q\n35xd0fZDZ/actB/FxcUyThU23tl20mG26T2y56/FQruZ6BlVVVVoaGgY2KYn8hznvraD+s5u\nbW013i9xvPAWCYx5AqnXpmU5goIpQTkANnUr7ZKWvHRBb5bnZmSSl3/v3fCuWN63CXv3rIOO\nARp7DDo7ULjkN3DLIaAUmWWT1WKty/LFgp2VUVIZq+9yo2NN+sO1vaF2MdUsy+Rkk70dCatC\nu3vW01J46WRGEswGWQpPTxkj4PQMI3dUZnyjyZty3VhfFVqO4vA2nLN5o9gacTB7ZOZclHJj\nkMW85ueYJWAYa+jda0D+un0BrKzagWA67c6AGAZe6P7GwJFHD7zJKxIgARIYJQI5NYMUj5Ee\nzFl9Ugfqni1J2YmdKFbGxrt4P1wB79qPEs40qBqgswv5jzyErq9fPd5xISCDmdqBtWrJVgfl\nOzf55Syk1Mp4MNyNV9cvwdINdxob6vtgu+QsmwrUlOyLWRXHYH71qagonGU47QoE8ZyMkL7a\n2o5dMgvolY7JwTt34ZSJFdhv3nzkFRTC1bF7ljBJyUVlpim0cB9EZZSQkvsEdB+S/KBTZiQM\nP6YE38Bxtb0O5hL2PEYNO3hXLEPg5FP33OS3rCRgZQm6nYQ/PXcZFtYPVJzsxGOEkSW5oYMP\nsR2cAUmABEggkwRyXkFSGBM/1omurT60r4wz0i+bSHWJ9PTPNfOwWGFlnHViLLdIXI10P4p7\n+za4GmWKvtK+gYnET8gdF6NjIecbWbaAINYUrZiTb+3Zjvtf/xxau7cjFIlVpmTJXbARG5te\nwqamV/DPdf8lZ9qcj42l38C99e19x3zF4Pto23Y8KH/VYmjht7JvaNED9xozgzFeBnxVa3Ky\nzgi94pcyNgh0FWyylBExMYLZnatQEJ5hyb8VT24HSyKtxE8/mSHQU2d/eZ2mQC3Z9eRtG5KY\nhsJO/GbBvrjio1Vi8ju1kj4kAvOGDNqEP/uFlNYwTe/8JAESIIHhJpB8XcZwPz1D8Wufb/pn\nWzDlnFZ4xZJYv4hyVDQ7gL2/1oDSfWI7of0+xt0X986d1rbUyppud5z9JuMNmNsnOU5qQn4Q\nEVGmvCXJOwo6c/Tndy5Cc9eWQcrRwLiiu9WhFbV/x471X5ReSvw6LOob6mQ/0QWyHHD52efJ\naisPIvI3WCKyhCUq1ue6rvgqzW0PhpOj13pQ7I7qRy2nvjzYatmvJY9S7yjZT8DJdjPNXcTd\njZbS94ZktNM9Cb9cdBBeqpmMXlFy7IjOaOdd/EVE5+xtJzjDkAAJkMCwEMiqGaRLL70U+mdH\nVEmqWNxt/OVHy+B3F6Ij3CgNe9BOdKMWxiMWwHzvvWsoJ1EZ6Y/ssy9w2GKxLpbmcigZzdP9\nAd4Pl6OrRTauyvIrn76AhJNlcafj2XKsOeXRX6pLDq0nWeuhKuXJZOnmJbLfaCciFo+2F/t5\nKJEzR/bv+gPeL/pKwqg1mZ/LL8HHzv80jhPrhKdu34JyMe6h93dK/Xlk5hy0HnUMvibGKVTv\no2QHAavLN+Ol1h31YUfNw/Gc4t7r9qZRmePGMOimnzVpEJGsvNSl6FEHr0JPpBC7Kp8ZkLew\ntCLbfUfKO8WFq446Hte/+wbO37RezH7rkE1qMWazJWz0cxfDd8KJEAsLqQPRBwmQAAmMEIGs\nUpAylWd/mcwciT7R3SAjXw5eCplKj6V4xGxuwT1/gmfDOnmTyQn25ktGlrr5n30akQsuROiQ\nwyxF5RLLMwV/uBPuhnrD9LPZJcrbsF6ARAyLdSlVH93EP3mKpeeNZU9u+YWUHySjpx8UWFhm\nJ7NHxRGUzI0/02Nyemfb3dCDPNMRPZhxTuBprCq4SEZqE5890y3l+4L0hp479Ej8QP78YoQj\nLJ2Q8O7RXV9bBz5atwG37z0bbrlPGX0CHZuHzvZZSVVYlszVVT+BtpLlVrwbfnblV6DD60Nx\nKDMNY2ScL8G1DD6HPeryuvbC1QPOQNLsyE5GbMzr23+m7Yu2N6/UTMEPPngL1TIwoxY1+99j\nMfk3DqKORBGeORO9Z5+Lgr3nxrjyKwmQAAlkB4ExqSBlB9r0UlHwp7vg2bRxqPEEUVS0G6tG\nE7plFiisM0oqsknf99Yb8C5fDndrCyJqXlTcAgcfalihczU3DYlLrdRZGdvTJQ/hWbMRLbN/\nKGNfIsfG/5PPaEPH2jyEOmUJSbLlduI87aJmOcMjcb47enehMyCauy2J4qCuX2Np0feNUdtE\nUZgKsboHZFldrARF8X6nvRP37qrHxTXVsU78PkoEAq3pL03STqscZY0P9/6W5VSHxEhDvXc/\n/GPKBJy5ZZNjQw1RWYYb2u8Ay8+nx9wl4AuXDEh8WA6P3ew/ER2egYNoT0+bgTenz8SLLnk/\nyQoGfae5xfy/is4YRcVce0gMyoTkPRWeOWtAnLwgARIggWwiQAUpC0rDs/JDeDZuGKLQxCZN\nR+LyH3sEnQsWwl2/CwW/XwKXnJ+jSo+Ku6kRnh3b4X/hOenES+dJRu/iiSpbqiTpn34fLMay\nBzkLokdmrCh9BLxy+OucK8Vwwh8qEGyRfTyDTH6rCXmxm4wZn29B0azkI/M9ITGLZ1O0vKYG\nl+KojuvxWsmPbMYiurXUpSU76vDZ6irDEp7tiBgwIwTceVJ/0jSwqWaXo2K5bvrOS7FmzvWW\n0iFGlLHDdwQemxnCGVs3GzPVlgIm8iSzk8EDqCAlwjNW7veZ+J6C8tbD0FImh0eLYh5wlWJF\nwSVDsugXJeiTk6oRnjIJ4YN2W6TToyR0xlIPIN89kz0kIG+QAAmQQJYRSH/oMssyMBaS43v3\nbWPpW6q8uLo64VmzGgVyTpFLDn01lSMznHGtM06RGEMVpmPMp6kYSbcMUVluozNGUY/X+IxU\nVaPza99EtKIyJgS/+ivDhiVEX4UqpAa5fihufwRTz2tFyfzkS+s0QLG/qj+cnS9adpNDb+Ow\njpsTBldl+uTtW3DTG6/gsReewgP/fAY/fO9N7N+0Z+aqRxToFZ32DqhN+GA62CJQOjv57zVR\npHr+0d6bvo283tQzgRGZL1LlqMtTjVdlGdQy+X2HHCyx1GVSQVnyO96tXCYqm2y7P3hQJ930\nRdy9qGo6yVCOIrL36OWS6xFwywbNQZIn+1YvrhnUxuksdp4ctE3laBAtXpIACWQzgTE1g9Tb\n4EHDK0VYu74AajnZK9P5ZQd2ieGGLhjWyEa5JALSKf1LQxOebGrG9t4ACj1uHF5SjP+s3Wlt\n07y8aPyvvgyXnLIdb223Zs9UflJmVV5W3WJW1S3n5qip3mhenrHkITx7TtLlWynjHaMeWpfn\nY8v9suRQdaNBlMPdbmx7pBzd2zox5ez2pATyfWWYWDQXDZ1rk/pL5qhlPD34b9T2HoqteccP\n8Dqjow13vPIipsuBvx6pb+YCuwNEOfrCujV4Yco0fOvwo9EjivG23l4cWCyb9SijSsCTb1Qq\ne2mQWaQpdZ/Gxum3Jg2vC/KWFXyp38+3Dzsaf3v+CXhkdN9ym7E7tLFUqqgYvZ84sz8+fslu\nAm6v7PkJplvSe/LkiRSgpP0A9Lgq8FLJT2Rp3V57HHd/09HW62dOl/ea2eoM8cIbJEACJJAz\nBMbMDFLT2wX46JYqNL1ViJ56WQIgK5n0bKTap0uN+4HG0W20d4hCdMHKNfifbTuwXEbum2Sm\nZ5vce1wUpg0h6yPI7i1b4NIlC05FZhmicjBf8IijjI5O4KSTETas3Nl/iTpNUraG797m61OO\ndP9RNB4fuSdujUuLUP9KYcpsHD3r62IgwZn1L03FQV2/lZV9e2atpopS9BeZMZopSq+eSRJb\n49WylF4fX7sdf37xOXilDv2jOcMmn1PmnB4yTUA7rlPrki+H1SVRbxZ9C52eyf2P31RSiiuP\nPgFBGShJpzXR2WbIYEr3ly8Xy5qp63r/A/llVAnk16RTyvGTGgntg+fKbo+rHGnb8rWpk3B8\neVn8wLxLAiSQkEC37NPbvHkzumTbxHBLnRzfsn379uF+zJiIf0woSO1r/dj+qDTM2nkdtD8k\nGhIjya0ebLizApH0DIdlrIB15ug/PlqPnaIQBaSjGiu6YGtpVY2s6bZQFGKYwR3Y0yGOjSft\n79LRidRMSjvYeAyw/XG19W0h56Ik1T1TilBXPCVqT/h9a87BnMrj4XHLmnwH4kEPJgXf64/h\nl0tfRoEo3t5Bdazfg3zJk7o4r60FX121HP9ubZOZzAzVp9iH8PuIEijt2C/u88SGmCyJ8uCt\nomuw3X/UED+vydk1nzzxdDTmF4iiFKtOD/Fq3NBldZGqKnRefR3bjviIsvaulddLqsS3eat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ly8vsX6whi3J7mM2FK2rqR5wSXez1ZMvA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VSPRfAwox24DqRJR5KWPPSAnHHiGZKni1PHdOooN/TqIVv04/JVeaVpnB6le0JYPbQZ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\nUpwPTNZFyT/+uTTc9BNp+sVvpGb/A+TDkVul3dttcOH70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Jy7rT/wzOH94Kb+gIGFEQc39aC5D5Kb5w2L/PE8O52qlag8GTJkiKs6PTxP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\nn+zzflO1ihowkGImXFtnDf1pE5SpxzMwM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9/UvbEN/Wkhm9v5SnP5u4IFE2hhjBL6wTzuV5STrRb6oovZHLIOKuaFwPU8Ri1mPgalumqR\nfuW8yrHhqA5C3/2B35nubdrU8aTcFgQEgfpAoO4vV31wEUFl/LLpWdqc9zON7PoozVg1lfKL\ntlNFJVbdouj4lhcT7LL/3vsZnXHc45SdMSiCal5dlcouXSmuWXOyw+65dRu1Afea9ZvUxGUM\nT0o/5clIFk9sT1mdTb22tqT/nbqbrh1Ybe/dnKOxJzRlQahlJUEwAmF1d8ya9Uq78GLXTjSY\nzV4uWr1efQgf44n06MzIMWmprrHrv28sOoWKK/LVxb3HNAIrdn/C/WoLjehyL330+020ZOvH\nCp8lu96jW4fwpmLuY+FAL+7co4QjTHb/4BVgjR7etoMFpF7s5auz8hKF+EMcfZFs7drRKp60\nQjjCBCqX+8bzO3erVX4tbashLFjnOCZueSxIb5qTRFNXj6TS2Cp6ZfAyeoc3S/yDhW1/zHe0\n/MPhd9H21/1msyxhLy1LeIjOHDrOZW9PXRnt5MUKmJc5CxdaGgiju8vLfBKQoHFyFo60PPTy\n1e4h/x1sNgWqGDyEYtdwECy3CbJyZ4zwAF4IQpZeORCSfuN77gLSZu6DetNdXNt6jB8vxYXV\nrf1H11BKeQfquv5RarX/Ioq2V28CrYg5TFvbvkEbO/yLqmLq1srAzHP9/h8op+09Ptcf5mfw\nQlfX3i5keIAXWTTNo88FeHmwiMuFsAU37NHz5lKczX0JwJG4nE0yZ2bnsDlqDK1jpw/uAhJM\n+nwR3FDfddy3hAQBQcAaCIiAZGI7VNqqzViQ5YItr7CN/0IXU5a5W17kyWscVdpK1WpaJApI\n9rQ0Kp54dw2qlTxhwMoYJg9lVbwhnH/xIRu1Modi2JQndgVrPAZWT3JgHZXex3V1kXUHavIP\njRPMa/ChwTWcm/lBrGHYYgeacOTMlo2nkuvzZisBadXu77g/VeN3tGwf5Rdvo2asaQoHwoRY\nb6KJqQjM7TDptbN5Vcxu3oPUu48KyljFExBn0kyinK85H1cURtPFqzpzv4uiFN6bNGFpD5p8\n1jzVh5yfi6Rju57HBZ8qiNbAH95S36gla4Or9BqRk0PwbcH3fSEPWXhNijSaMwi4zC4753xK\n+GamcqOtErLWuXzYcPZid4LXfMCnJ4JJpju1S06iXaz91KM2QXBOoVdOfV2z5aXRsIV/UExV\nMgtHjraMq0qjjtvvpBYHzqH5A4ZRZSzMMb1TccVByvBBm6jlgv1fvghHeD6TtTex/Hxd44GW\nd12/KBemlXDPXrrkT0pnLVKcTl+o5GcK4+LpxZ59VJa1e4v+GOepfL30np6V64KAIBBcBERA\nMhFfmD+dyG5ON+f9QoPa38S2YTY6VLSTKqvYXIVtto9vNUaZSK3cO4MGtL3axJKtmxVMp6aw\nHX8G2+Wf2CKLhjVKoe6J8XR0WCEVrkimASM8r8yhVphgfdCtC2GPAtywJvD5R3wOs56haZEf\nLDYxNp1KK103CmOzdKfMEarRj2s5kpZv/4wFChslslvdjORs63YGN87uYHe+69iEqoD3nfRg\njSP2fUAr8BB7dNI8lFX2P5HN6hwJe3P/gdbwazZ9SouNoUltvZvKNeWJEzvXchDPQMbwxv9A\n3Qg7MrLu0cB219Pmg7/6zGBKURdlOpXRuDVVFcXWOEjxJYMhbE6UwS6KoalzFjQwWcW9Zoy/\nLzSYn8V+I3ctEibJHRITlGbGeUEEIlxjNmtyHgMgUMOVdsymjSydsQYgJ4fsTTLrLH4Qu5ae\ny66X3UcilH2yzhhzA++r+j2/wKW+KAQ8XZnFCz4RQkrOnnkuxVTG8ntZe6oQY0+klOJO1Hf1\nf+nP3mPrrHVSXIbqK+25PeEwwRthHID5ta90ErfTe2zeaAahbPQJRewM5KMxl9GoL2dQTuFh\nNh23qf2S6CtVLETt5r221w49lfITEhVCXdiboTvBlTeErbq0SHBA0oWFbyFBQBCwBgK1Rz1r\n8BW2XIzs8jDhDzSo20VqJfzAAZcpGp2cc3vY1i8QxiEkpaamUjx/UEbx5LaCJ1NZZ7JZBv68\nEH+LqHB1ImU3i6WuLRxTp04cIwN/DYFuGPwzfbvmHrUHKTO5I8XGJFG7jBN5v1H1hGTcSW9S\nG447knd4J/VtfbkSwMMFl648Gfjp+B5UyiuzjXgincQeoAoKCjx6DtPqBdNKuMVN5AmFJkhp\n99x/41JtlDXyCO2f05jglavfJSV0OqeNZOqQeTI1SepI+SWbvVeThcVe61+m9rtuJFt0KWu3\nE2jtkmhqc9FhyjjB+7upZYx3ekqXHLp14xbl4htuHqDp7cMTRXix85XubNOSsJ8JcWK0Nx0C\nClyGv9G5Az3E5pgLWYBKiIaWgKgpC2Wvds5RHuecy7DzOFOXxsj5eRxjnxTi4sCcSzO1g4AH\nV+Lu5nV4/jQ2872LzYWxdwnPgaC5uIeF9ZPc9p+om2H6z6EVSWQvSoBLBo81iGGTuxYHzqOU\nos5UlMKCqQeKiYqjLs1Gqbu388LIPZu31RJI3ZPe1KqF+yWP54NYQOrOi3Brjhyp6T/uD8MU\ntE18AsEs1F0Ydn4Wtb2xpaPsU9pn07kj/0Ej9u6i4bzPrTVrk3L5+zO3ZWua3botO66ASEWU\nygL7IN4Pxx99da79M5yvPbVjd63r2n3tF5YR8NwoJAgIAtZAQAQka7SDcKGDQB67987lOBz4\n/nR7aB9RA4yB1Ci+KV3CLnI9UVxMAp3c+UYlWHh6xsrXIeAkHZtkYrKNSbEv5KvpDfLKOq2I\nmg9n0zzuRz5m7wsLln7mpiG/0IwVN3Bcmh942gXT1hhKiG1MZZWFao8azDI77r6Nsndfx/fY\nnMjGK9/HVEC7ZqRRQhZ7j2wDr5F1E1xuz2RvcsvY/PEAa3Y7JCVQN9YI+kNZrBn+tEdXmsrB\nOyEoxfNLjzg4/69Fc2VmNa3v8bSZnTIs2bNHxUHqx4sumnDiTzl6z8JM79PuXQmeyxbzBBtu\nvs9kb2LjuWxP/fFydvRxJvO3lOuMHtuPJ+e+OKPQK9+q146sT9CNj+XObxUL183yT/MqICFg\n7KDsG1VSONVAu8KhhbugAizx9yAvYvTQ0ca4l+18/mbvnnT+4iV0kE0rnbWNeAbt2JwXYf7b\ntSPBacuH+6v3MTqnh5iD8ejh7DYumpwcFpT/X8ssmsb94qdWbZ2T1Bwj7ePt26pFwCoW8p0J\nms5/cn2wt9L1juMpTMQmtm5FzXh/rpAgIAhYAwERkKzRDsKFDgIxCbwSx/8jJktUtOuqnM7j\nckkQ8IjAMe/fHu9H4o0xvadSOgclLeKgpNDagvYcXkGHSndQemI7Klx6Ok8k9T8B+b8nU/IY\nh7OLuvCBsDLAD5MovfxgjvdPjiXkiXqxlqAFO32o5Amw2QQB7RGe4PpDTZjfkSxIRSpVHlEi\nQ53Vg8vv+Iqmus9F8YsHAXzM8W9RaqJDK3Mra5F6sQD0n925tNlpPxeuQZsYiIfSFmy6N50F\n3TfYPfhMNsEtZo0gKIUFmwvYPPuGVlnUiIWVSW1bUx8WaF/l5zSnGhDKTmDB7ZHux1Hrstr7\ny25lbRZM4N7kgLMQtlT8Ik6Dazh/grWlg3XMMVE+CGbBVfwxe3L7LnWupU/gtBCaJjIeELqF\nBAFBwDoI6H8drcOfcNKAEWgysJgSWlRQfAYHKZSFtQbcE4xVHcGGD8xNodgUG8FTYkxywxW2\nW6X1JvyB8o9iAqxDdjaTy6+OJ6VzVy41EATieNzlgEe8SAXxwQvxM1EpJZSZ3In3SxZSUXn1\nXqDoqFjKaTKMTuvyIDVN6Vwrg1NYIMGfjYP9VmAPT0kxxRwT5Gs97OOFxrwv8V7W1tzFQhBC\nQYBzCN7uMdNOzUhToQSO8P7HQ+ziHSabbZqzxpCfzc3NrVUaNEs3sJB0Dnu//JFNPTezq/J4\nNveElgtCMgSvughpsWduNqdHiAt4/u7M2qkzWBOJvZJCgoAgYC0ERECyVnsIN24IpGT7Zubj\nlkxOBQGFAIeJos1TMslWxvuVWB4o2x9L7a8uEHQYgfjMKirL1RGSWGOb2FLeu4beSVK7l9Lh\n5bwPCSoOLwRnDeedPYni0u5QT0FIKq88SilsHuxLyIHGLJyksqBRwNrBUoMCksYmnCL44kER\nAhX+fCWYY8L0MlBK57qO5T1sQoKAIGB9BHS+jtZnWjhsGAgUbYuj1Y9k0ZY3mxAcNggJAv4i\nUHEohmylPMzxKri9KoqKd8lKrYZh1ukciBMaAheqdqHfdHCxy1U5aXgIpHYvo4RmbM7oxbwZ\n5s+thtkoPt0xQCfGprI5XSufhKOGh6rUWBAQBMIFAUsISNjUuHTpUpo2bRr9+eef4YKd8Blk\nBI6sSyRbeRQVbUmgqpI6zDyCzItkH54IQEuSkMWmNrE88efJXHpf37yzhWdt/eM6rWcZtT6/\nUGGjBCUWlmIb26jDhHylXfIvN3k60hBgJQxrW/NZM1Sl3h33+uF9Sm5fTp0vdQhH7s/IuSAg\nCAgC4YpAyE3sIBzdeOONtHfvXjr55JNp+vTpNGLECJo0aVK4Yip8m4RA5uAiKi+IoeS25bx/\nxH2l26RCJJuIRgBmdZ1uOUiH/+ZYJLwHKfU47/FXIhoMncphn196v2Iq2cP7NOLYtI7d6QMz\nIUEACMSl2ajznXl04LcUKvgzmSqPwBzNrjRLTYcWUUZ/jl0WJyZj0lsEAUEg8hAIuYAEgejo\n0aP0ySefUEpKCm3fvp2uvPJK+sc//kFdu3aNPMSlRj4jgBg27S5zDZLqc2J5UBA4hgDiH/ka\n16chggYHKLLXryG2vG91hjfRFqOOqj8bW9xBgBYh2jfs5ClBQBAIXwRCvlY4f/58GjlypBKO\nAGN2djb17NmTfvzxx/BFVTgXBAQBQUAQEAQiDIFoXlIV4SjCGlWqIwgIAroIhFyDBNO6Vq1a\nuTCH8/37q12FOt949dVXaceOHTWXIExdffXVNefaAVx1ghpxrAPbsVgI2j1ff2PYbWc0x09I\nS+PI2AES0ts5qraRPOI5PgfySeLI3YEQ0oIS2JWqdhxIPnBzaqQe4dwmevWOZW9EIL17vuKr\n5aFh42s69+eQjxE+0NeRHn01ENLqkczBQdHPAiH0LzPqgbKNYKHVpT7bRMPfHTdggnfWSH1Q\nDyPjoDZmJHIwWPAZKBkdPzAOglCXQPupGWN6uLYJ8HP/hqAuIPQRI31M67+Btov2zhkZP9BP\nzagH8DCCBXgADlp/RX7+kFltoo0bZrQJ6rRvHwdqFxIEGhgCIRWQEPAvLy+PUlNTXWDH+YYN\nG1yu4eS3336jlStX1lzv3bs33XLLLTXn7gf4qBslDA5GCAMeBn4jpH1AjOSBehiti9F6gP9w\nbBNv9fZ2z9f2CvRjquWP/mG0j7hPnrS8/fkNVDhyLsMMPM3Ioz7bBJMZTzzL+OHcO6jWJN/1\nrm9nRsfBcGwTjA+e3nEZP1z7jad30fUp72f1OX544sRTe3t6Xu86xnQjCyN6eco1QSBcEAip\ngKSt6LlHRsc59iO50yuvvEJlZY5N1phs62masMqIQS4/Pz/gqOsY4PCH/VGBUtOmTdVq0sGD\nBwPNgho3bkylHGm8IsD4EJgMZGRkUFFRkfoLlJHMzEwyUg8rtklzDgzoC+n1sfT0dNU/9O75\nkieeQR/FCl9JSWCe1TBRa9asmXonDh8+7GuxtZ5D/zh06FDAK/P4EKOfggfn97NWQV4uYCxA\nHuAjULJim/jSx/Bu6/UjjB/QgGMcC5Sw2FRcXBzwOGiV8QN9A/0MYxAc+wRCmOyhPkbHdKu1\niS99DGPMkSPs1t2JIJijj+H7UlhY6HTHv0MrjB8Q8jBnMDoOIp8DBw74B4DT0xjT0T+AaSBk\nVps0adKECgoKQjqmB1J/SSMIWAmBkApImODhRXYfuDFYt2jRohZOLVu2rHUNJnrupKmVMVAF\n+jFFWuQTaHrwhPRm5GGkHtrqj1E+UB+jWCAPI3UJVZvo1Rt4gvTuqRs+/GO0PviYgsxqW61O\nPrDu8gjqATLStkhvRj2QTzi2iTeevd1Dfb0RMDXSLtr4YSQPjT+j9UA+RvhAWiv0sVC0iV69\ncQ2kd0/d8OMftK2Wnx/J1KNaOiNti7mE0XpofBjtp0bqofFgtC4A1qw2QX2EBIGGiEAUv4iB\nbTwwCa27776bsAJ277331uQ4duxYGjNmDOE3EJo5cyYtWLCAbr/9dmrTpk0gWZiS5rHHHlNa\nhvvuu8+U/ALJZMuWLTRlyhTlOv2ss84KJAtT0lipTbCSPHnyZEP1mjp1Km3evJmeeuqpkJkg\nYCUcfaxHjx40fvx4Q/UxknjhwoX05Zdf0uWXX059+vQxkpWhtOjn6O9WaBM4mrnqqqsM1efR\nRx9VWrW77rrLUD5GEm/cuJHeeust5UgHznRCRZ999hktXryYgEVWVlao2KBHHnlEmYRHQptA\nW/uvf/2LYKo+bty4kGE6d+5c+uabb5T32l69eoWMD+xx3rlzJz3zzDMh40HaJGTQS8GCQC0E\nQu7FDoLQnDlzaM2aNWoFCB/C8vJyGj16dC1mfb2wYsUKwoTciLmOr2V5e27WrFkh98YHkxRg\nsXr1am+sBv2eldpk9uzZhuuLjzpwDeXqGsw4wAMmjqEkCCXgA5OLUFKktQkmjRgbQ0kw/UPb\nrl27NpRs0LJlyxQfRkyozKhAJLUJzO7QtqEOzr5p0ybFx549e8xoooDzwB5nLPSEkmAOizZZ\nsmRJKNkgq7RJSEGQwhs8AiE1sQP6gwYNoksvvVQ5W4B9eOvWremf//yn8lbU4FtHABAEBAFB\nQBAQBAQBQUAQEAQEgXpFIOQCEmo7YcIEuuKKK9RGUWwaFRIEBAFBQBAQBAQBQUAQEAQEAUEg\nFAhYQkBCxeExzizhSPOqBY80oSR4XjLDrbWROmjewcxwwWyEDyu1CXgxSvCYhPbF5uBQEZw0\ngAcz3NIaqQPeXfABDXAoyUptYkYfA6Z63jzrE2OMoeDDKuOH5jSiPjFwLgteASOlTbTxw4y+\n6oyRv8dWGj/cQ474Wxejz0ubGEVQ0gsC5iEQcicN5lVFchIEBAFBQBAQBAQBQUAQEAQEAUHA\nGAIhd9JgjH1JLQgIAoKAICAICAKCgCAgCAgCgoB5CIiAZB6WkpMgIAgIAoKAICAICAKCgCAg\nCIQ5AiIghXkDCvuCgCAgCAgCgoAgIAgIAoKAIGAeAqH1YmBePTzmVFRUpGJ4IB7QkSNHlCOI\nli1bUtu2betlczvidmBTr7PDiPnz5yueGjVqRIMHD6bs7GyP/Jt5AzGBEW8KsU0KCgpU/YFF\nq1atqFmzZmYWpZsXYjxgE6qz4wrE0Fm0aBEhpk/37t3ppJNO0k0bjIuIu7F161bKz89XUcdb\ntGhBwAOu5p3bq66yzcqnrnL07ldUVCjssJFeIwSQ/emnn2jv3r2qLqeddlq99HWUL++b1gqk\n4rqZ9b5JH3PgKn3MgYVZY7pZ+Tg48+8oUr8N/qFQ/bSM6YGgJmkEAfMRiGgnDVOnTiUEnkVA\nPAgp8PaFgRgfWBzfeOONdP755wfNE1llZSWNGDGC3nzzTerWrZuaMN1///20YMECFY0dQgGe\nmThxouLD/OZ15Pj777/Tiy++SJhoaV6DqqqqlNCI3zPPPJNuu+02xZcjlblHqHubNm1UzCvk\n/O2339Jzzz2nCklLS1OCysCBA+npp5/2S0Dxl0sIRE888YQKkKh5+cMvBGgEKc7JyaH77rtP\ntZm3vM3Kx1sZdd378ccfCf18xowZ6tHdu3crfLEgAKH3wIEDlJGRQYgS365du7qyM3Rf3jcH\nfGa9b9LHHJjiSPqYAw+z+phZ+Tg48/8o0r4N/iPgSCFjugMLORIEQooArxxFJH344Yd2Fn7s\nHB3bXlZW5lJHFkzsv/zyi/3cc8+1z5o1y+WemSe8EmQ/+eST7byKrLL94Ycf7EOHDlU84R4L\nanYW4OynnHKKfdu2bWYW7ZLX9u3b7axFsL/zzjv2vLw8l3s4AX+TJk2y33vvvbXumXmBhQ47\nT9RVloWFhYqnf//73/ZDhw7ZbTabffny5fYLL7zQ/t5775lZbK28rrvuOvs999xjX7duXa17\nLFDY3377bfupp55qZ4Gp1n3nC2bl45ynv8ezZ8+2X3TRRTXJgPH48ePtmzdvVtdYILZz4GX7\n1VdfXfNMMA7kfXOgaub7Jn3Mgav0MQcWZvUxs/JxcBbYUaR9GwJDoTqVjOlG0JO0goB5CETs\nHqR58+bRHXfcQcOGDVMaE2cpFDE9hg8frjQmv/76q/OtoB6vXbuW+vfvr3iCCRe0WCwQUNeu\nXWnZsmVBK3vx4sU0ZMgQ4okzZWZm1ioH2q0nn3ySVqxYobRrtR4IwgWYtkFzhSDB0B4hnlDv\n3r1p7NixtGTJkiCUWJ0lC4gEs77HH39c4e5eEGJxgadBgwYpTZ/7fe3crHy0/Mz6RR8bM2aM\n0oIhT5gM3nzzzarOMPcMFsn75kDWrPdN+pgDUxxJH3P0HbHBAAAYPUlEQVTgYVYfMysfB2fG\nj8L922AcAdccZEx3xUPOBIH6QiBiBSTsyYC5kTeCeRvM7+qLjjvuOF0BBYISTLuCRRoWLFd7\nLAJYsKZNmfx5fMjEGx07diTswXLeO4PsEbQwmFho+5/27dvntTbAAyaQnsisfDzlH+h19LEm\nTZq4JNd4hW17sEjrY97yl/fNgY4v75vWbkb7qqNUc46kjzlwDPcxXXtv5dtANXtj5X2r7t9a\n33D09tpH9T2m1+ZArggCwUMg5lGm4GUfupyhnXjrrbfUnhpoTaA1goMANuVSDgqwiR37MqCx\ngAYnGISy3n33XWLTMWJzLlU+9t3AMQP2hWA/FPZIff3113TDDTfoCk9m8JWVlUVvvPEGsSkb\n4RgCmeaEADyAP+wFgnMC7MkKFgFzrAL//fffhI8QBFgMsD179lRFwlkD2gzarhNOOCEobGD/\n1erVq2nOnDnUvHlzpb3CNRAEsx07dtC0adMUn7feeqsS4vQYMSsfvbz9uQZtGJtuqv1UbFan\n8Pzjjz/o9NNPJ+yr2rVrF73yyitKW3fllVf6k7Vfz8r75oDLrPdN+pgDUxxJH3PgYVYfMysf\nB2eBHUXStyEwBBypZEx3YCFHgkAoEYhoJw2YOGJyyPtdFMbQTmgaIwhNl112GV1yySVBxR/C\nx8aNG2nTpk20YcMG4r1GdP3116uyeU8Qff7558T7Q+iCCy4IKh8wW3jqqaeU9zwUBIERwgkm\nHRCWRo0apZxWQHALFmGyvmrVKoWHhgmEMghFbAuvTADPOOMMZRoJIS5YBKFwypQp9MUXX6gi\nIEgAA2jQQBDY4MADJn/eyKx8vJVR1z04loBpJPDU/nJzc+nTTz8leOWDWSU0EXAEgtXuYJK8\nbw50zXrfpI85MMWR9DEHHmb1MbPycXDm/1GkfRv8R8CRQsZ0BxZyJAiEEoGIFpAALIQAuLWG\n9zZ49sJ+F+wzgWvtuLi4esce/EBTAQEAbphhDgVhpb4IGGACjbJRf2ABz3LAJRSEjwFU+RBO\n4LELe2bqizD5BA74g+AMoRkrqhDa/CGz8vGnTG/PAlOYL2JfFwTy9u3be3vc1HvyvrnCadb7\nJn3Mgav0MQcWODKrj5mVjyt3gZ9Fwrch8Nq7ppQx3RUPORME6gOBiDWx08DDxBcrZBj8McjA\nbAUuvzGBrC8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+ "text/plain": [ + "plot without title" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dat$Ratio = as.factor(dat$Ratio)\n", + "ggplot(dat, aes(x=Stab, y=MSE_mean, color=method, size=Ratio)) + geom_point() +\n", + " scale_size_manual(values=c(0.1, 0.5, 1, 1.5, 2.5, 3, 4.5, 5, 5.5)) + \n", + " facet_grid(N ~ P, labeller = label_both) +\n", + "theme(axis.text.x = element_text(angle = 90))" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "3.6.1" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/simulations/results_summary/.DS_Store b/simulations/results_summary/.DS_Store new file mode 100644 index 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"0.1" 20 0 "0.37 ( 0.02 )" "4.53 ( 0.54 )" "5.71 ( 0.06 )" 4.82 "0.91" 0.37 4.53 5.71 +100 1000 "0.1" 10 0.02 "0.36 ( 0.01 )" "4.14 ( 0.72 )" "5.4 ( 0.08 )" 4.74 "0.78" 0.36 4.14 5.4 +500 1000 "0.1" 2 0.52 "0.34 ( 0 )" "0.93 ( 0.19 )" "3.83 ( 0.06 )" 3.1 "0.21" 0.34 0.93 3.83 +1000 1000 "0.1" 1 0.21 "0.31 ( 0 )" "8.59 ( 1.37 )" "2.96 ( 0.1 )" 11.63 "0.36" 0.31 8.59 2.96 +50 50 "0.3" 1 0.32 "0.8 ( 0.05 )" "5.34 ( 0.32 )" "1.21 ( 0.12 )" 10.13 "0.48" 0.8 5.34 1.21 +100 50 "0.3" 0.5 0.5 "0.52 ( 0.02 )" "4.42 ( 0.52 )" "0.1 ( 0.03 )" 10.32 "0.33" 0.52 4.42 0.1 +500 50 "0.3" 0.1 0.91 "0.55 ( 0.02 )" "0.53 ( 0.16 )" "0 ( 0 )" 6.53 "0.05" 0.55 0.53 0 +1000 50 "0.3" 0.05 0.89 "0.56 ( 0.02 )" "0.66 ( 0.18 )" "0 ( 0 )" 6.66 "0.06" 0.56 0.66 0 +50 100 "0.3" 2 0.27 "0.94 ( 0.05 )" "6 ( 0.34 )" "1.93 ( 0.14 )" 10.07 "0.54" 0.94 6 1.93 +100 100 "0.3" 1 0.47 "0.53 ( 0.02 )" "5.24 ( 0.45 )" "0.24 ( 0.06 )" 11 "0.4" 0.53 5.24 0.24 +500 100 "0.3" 0.2 0.91 "0.54 ( 0.02 )" "0.54 ( 0.15 )" "0 ( 0 )" 6.54 "0.06" 0.54 0.54 0 +1000 100 "0.3" 0.1 0.92 "0.55 ( 0.02 )" "0.51 ( 0.15 )" "0 ( 0 )" 6.51 "0.05" 0.55 0.51 0 +50 500 "0.3" 10 0.13 "1.31 ( 0.06 )" "5.44 ( 0.44 )" "3.96 ( 0.15 )" 7.48 "0.69" 1.31 5.44 3.96 +100 500 "0.3" 5 0.3 "0.73 ( 0.03 )" "9 ( 0.76 )" "0.99 ( 0.12 )" 14.01 "0.52" 0.73 6 0.99 +500 500 "0.3" 1 0.95 "0.55 ( 0.01 )" "0.31 ( 0.08 )" "0 ( 0 )" 6.31 "0.04" 0.55 0.31 0 +1000 500 "0.3" 0.5 0.92 "0.57 ( 0.02 )" "0.49 ( 0.14 )" "0 ( 0 )" 6.49 "0.05" 0.57 0.49 0 +50 1000 "0.3" 20 0.07 "1.55 ( 0.08 )" "3.96 ( 0.47 )" "4.74 ( 0.14 )" 5.22 "0.68" 1.55 3.96 4.74 +100 1000 "0.3" 10 0.25 "0.84 ( 0.03 )" "9.51 ( 0.77 )" "1.58 ( 0.11 )" 13.93 "0.58" 0.84 9.51 1.58 +500 1000 "0.3" 2 0.92 "0.56 ( 0.01 )" "0.52 ( 0.14 )" "0 ( 0 )" 6.52 "0.05" 0.56 0.52 0 +1000 1000 "0.3" 1 0.95 "0.56 ( 0.02 )" "0.29 ( 0.08 )" "0 ( 0 )" 6.29 "0.03" 0.56 0.29 0 +50 50 "0.5" 1 0.42 "0.77 ( 0.04 )" "5.49 ( 0.31 )" "0.25 ( 0.06 )" 11.24 "0.44" 0.77 5.49 0.25 +100 50 "0.5" 0.5 0.68 "0.6 ( 0.03 )" "2.34 ( 0.31 )" "0.01 ( 0.01 )" 8.33 "0.21" 0.6 2.34 0.01 +500 50 "0.5" 0.1 0.93 "0.8 ( 0.03 )" "0.42 ( 0.12 )" "0 ( 0 )" 6.42 "0.05" 0.8 0.42 0 +1000 50 "0.5" 0.05 0.88 "0.78 ( 0.03 )" "0.7 ( 0.21 )" "0 ( 0 )" 6.7 "0.07" 0.78 0.7 0 +50 100 "0.5" 2 0.36 "1.03 ( 0.07 )" "5.95 ( 0.33 )" "0.96 ( 0.11 )" 10.99 "0.49" 1.03 5.95 0.96 +100 100 "0.5" 1 0.65 "0.64 ( 0.03 )" "2.9 ( 0.32 )" "0.03 ( 0.02 )" 8.87 "0.27" 0.64 2.9 0.03 +500 100 "0.5" 0.2 0.91 "0.76 ( 0.03 )" "0.56 ( 0.19 )" "0 ( 0 )" 6.56 "0.05" 0.76 0.56 0 +1000 100 "0.5" 0.1 0.93 "0.8 ( 0.03 )" "0.4 ( 0.09 )" "0 ( 0 )" 6.4 "0.05" 0.8 0.4 0 +50 500 "0.5" 10 0.22 "1.93 ( 0.1 )" "5.08 ( 0.41 )" "3.23 ( 0.15 )" 7.85 "0.55" 1.93 5.08 3.23 +100 500 "0.5" 5 0.45 "0.79 ( 0.03 )" "6.21 ( 0.54 )" "0.33 ( 0.07 )" 11.88 "0.43" 0.79 6.21 0.33 +500 500 "0.5" 1 0.94 "0.83 ( 0.03 )" "0.36 ( 0.11 )" "0 ( 0 )" 6.36 "0.04" 0.83 0.36 0 +1000 500 "0.5" 0.5 0.97 "0.87 ( 0.03 )" "0.19 ( 0.06 )" "0 ( 0 )" 6.19 "0.02" 0.87 0.19 0 +50 1000 "0.5" 20 0.15 "2.1 ( 0.11 )" "5.84 ( 0.49 )" "3.77 ( 0.14 )" 8.07 "0.66" 2.1 5.84 3.77 +100 1000 "0.5" 10 0.35 "0.91 ( 0.04 )" "8.88 ( 0.73 )" "0.52 ( 0.09 )" 14.36 "0.51" 0.91 8.88 0.52 +500 1000 "0.5" 2 0.98 "0.86 ( 0.02 )" "0.13 ( 0.05 )" "0 ( 0 )" 6.13 "0.02" 0.86 0.13 0 +1000 1000 "0.5" 1 0.95 "0.85 ( 0.02 )" "0.3 ( 0.11 )" "0 ( 0 )" 6.3 "0.03" 0.85 0.3 0 +50 50 "0.7" 1 0.49 "0.8 ( 0.06 )" "4.27 ( 0.31 )" "0.24 ( 0.06 )" 10.03 "0.37" 0.8 4.27 0.24 +100 50 "0.7" 0.5 0.75 "0.75 ( 0.03 )" "1.71 ( 0.28 )" "0 ( 0 )" 7.71 "0.16" 0.75 1.71 0 +500 50 "0.7" 0.1 0.9 "1 ( 0.04 )" "0.58 ( 0.19 )" "0 ( 0 )" 6.58 "0.06" 1 0.58 0 +1000 50 "0.7" 0.05 0.92 "0.98 ( 0.04 )" "0.43 ( 0.09 )" "0 ( 0 )" 6.43 "0.05" 0.98 0.43 0 +50 100 "0.7" 2 0.42 "1.14 ( 0.08 )" "5.46 ( 0.32 )" "0.55 ( 0.09 )" 10.91 "0.46" 1.14 5.46 0.55 +100 100 "0.7" 1 0.69 "0.82 ( 0.04 )" "2.46 ( 0.41 )" "0 ( 0 )" 8.46 "0.21" 0.82 2.46 0 +500 100 "0.7" 0.2 0.89 "1.01 ( 0.04 )" "0.68 ( 0.23 )" "0 ( 0 )" 6.68 "0.06" 1.01 0.68 0 +1000 100 "0.7" 0.1 0.94 "1.08 ( 0.04 )" "0.36 ( 0.09 )" "0 ( 0 )" 6.36 "0.04" 1.08 0.36 0 +50 500 "0.7" 10 0.26 "2.76 ( 0.17 )" "5.16 ( 0.4 )" "2.65 ( 0.15 )" 8.51 "0.51" 2.76 5.16 2.65 +100 500 "0.7" 5 0.52 "0.87 ( 0.03 )" "5.39 ( 0.52 )" "0.04 ( 0.02 )" 11.35 "0.39" 0.87 5.39 0.04 +500 500 "0.7" 1 0.94 "1.05 ( 0.04 )" "0.35 ( 0.1 )" "0 ( 0 )" 6.35 "0.04" 1.05 0.35 0 +1000 500 "0.7" 0.5 0.98 "1.14 ( 0.04 )" "0.14 ( 0.04 )" "0 ( 0 )" 6.14 "0.02" 1.14 0.14 0 +50 1000 "0.7" 20 0.2 "3.02 ( 0.16 )" "5.41 ( 0.43 )" "3.39 ( 0.13 )" 8.02 "0.58" 3.02 5.41 3.39 +100 1000 "0.7" 10 0.45 "0.91 ( 0.04 )" "6.6 ( 0.53 )" "0.2 ( 0.05 )" 12.4 "0.45" 0.91 6.6 0.2 +500 1000 "0.7" 2 0.95 "1.04 ( 0.04 )" "0.31 ( 0.1 )" "0 ( 0 )" 6.31 "0.04" 1.04 0.31 0 +1000 1000 "0.7" 1 0.97 "1.13 ( 0.04 )" "0.21 ( 0.07 )" "0 ( 0 )" 6.21 "0.03" 1.13 0.21 0 +50 50 "0.9" 1 0.48 "0.92 ( 0.07 )" "4.7 ( 0.32 )" "0.14 ( 0.04 )" 10.56 "0.38" 0.92 4.7 0.14 +100 50 "0.9" 0.5 0.76 "0.94 ( 0.05 )" "1.59 ( 0.25 )" "0 ( 0 )" 7.59 "0.15" 0.94 1.59 0 +500 50 "0.9" 0.1 0.92 "1.15 ( 0.06 )" "0.47 ( 0.11 )" "0 ( 0 )" 6.47 "0.05" 1.15 0.47 0 +1000 50 "0.9" 0.05 0.89 "1.28 ( 0.05 )" "0.62 ( 0.19 )" "0 ( 0 )" 6.62 "0.06" 1.28 0.62 0 +50 100 "0.9" 2 0.42 "1.28 ( 0.08 )" "5.86 ( 0.29 )" "0.47 ( 0.09 )" 11.39 "0.48" 1.28 5.86 0.47 +100 100 "0.9" 1 0.81 "0.94 ( 0.04 )" "1.34 ( 0.23 )" "0 ( 0 )" 7.34 "0.14" 0.94 1.34 0 +500 100 "0.9" 0.2 0.93 "1.16 ( 0.05 )" "0.43 ( 0.13 )" "0 ( 0 )" 6.43 "0.05" 1.16 0.43 0 +1000 100 "0.9" 0.1 0.94 "1.32 ( 0.05 )" "0.34 ( 0.1 )" "0 ( 0 )" 6.34 "0.04" 1.32 0.34 0 +50 500 "0.9" 10 0.25 "3.06 ( 0.18 )" "5.42 ( 0.4 )" "2.69 ( 0.15 )" 8.73 "0.54" 3.06 5.42 2.69 +100 500 "0.9" 5 0.58 "0.97 ( 0.04 )" "4.2 ( 0.49 )" "0.02 ( 0.02 )" 10.18 "0.31" 0.97 4.2 0.02 +500 500 "0.9" 1 0.93 "1.27 ( 0.05 )" "0.44 ( 0.18 )" "0 ( 0 )" 6.44 "0.04" 1.27 0.44 0 +1000 500 "0.9" 0.5 0.96 "1.31 ( 0.05 )" "0.23 ( 0.06 )" "0 ( 0 )" 6.23 "0.03" 1.31 0.23 0 +50 1000 "0.9" 20 0.23 "3.37 ( 0.19 )" "5.29 ( 0.41 )" "3.13 ( 0.15 )" 8.16 "0.57" 3.37 5.29 3.13 +100 1000 "0.9" 10 0.56 "1.14 ( 0.05 )" "4.56 ( 0.38 )" "0.07 ( 0.03 )" 10.49 "0.37" 1.14 4.56 0.07 +500 1000 "0.9" 2 0.96 "1.28 ( 0.04 )" "0.27 ( 0.11 )" "0 ( 0 )" 6.27 "0.03" 1.28 0.27 0 +1000 1000 "0.9" 1 0.95 "1.35 ( 0.05 )" "0.29 ( 0.09 )" "0 ( 0 )" 6.29 "0.03" 1.35 0.29 0 diff --git a/simulations/results_summary/sim_block_elnet.txt b/simulations/results_summary/sim_block_elnet.txt new file mode 100644 index 0000000..92b3236 --- /dev/null +++ b/simulations/results_summary/sim_block_elnet.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 "0.1" 1 0.02 "0.38 ( 0.02 )" "10.9 ( 0.97 )" "3.91 ( 0.15 )" 11.99 "0.77" 0.38 10.9 3.91 +100 50 "0.1" 0.5 0.06 "0.34 ( 0.01 )" "13.39 ( 1.06 )" "2.45 ( 0.16 )" 15.94 "0.68" 0.34 13.3 2.45 +500 50 "0.1" 0.1 0.13 "0.27 ( 0 )" "19.21 ( 0.81 )" "0.14 ( 0.04 )" 24.07 "0.73" 0.27 19.2 0.14 +1000 50 "0.1" 0.05 0.15 "0.26 ( 0 )" "18.76 ( 0.63 )" "0.02 ( 0.01 )" 23.74 "0.73" 0.26 18.7 0.02 +50 100 "0.1" 2 0.03 "0.41 ( 0.02 )" "9.27 ( 0.76 )" "4.63 ( 0.09 )" 9.64 "0.82" 0.41 9.27 4.63 +100 100 "0.1" 1 0.07 "0.34 ( 0.01 )" "10.1 ( 1.04 )" "3.87 ( 0.13 )" 11.23 "0.7" 0.34 10.1 3.87 +500 100 "0.1" 0.2 0.13 "0.29 ( 0 )" "25.4 ( 0.81 )" "0.41 ( 0.06 )" 29.99 "0.8" 0.29 25.4 0.41 +1000 100 "0.1" 0.1 0.13 "0.27 ( 0 )" "28.36 ( 0.94 )" "0.06 ( 0.03 )" 33.3 "0.81" 0.27 28.3 0.06 +50 500 "0.1" 10 0.01 "0.41 ( 0.02 )" "30.9 ( 3.51 )" "4.65 ( 0.13 )" 31.25 "0.94" 0.41 30.9 4.65 +100 500 "0.1" 5 0.03 "0.36 ( 0.01 )" "20.83 ( 2.77 )" "4.43 ( 0.1 )" 21.4 "0.87" 0.36 20.8 4.43 +500 500 "0.1" 1 0.08 "0.32 ( 0 )" "29.71 ( 2.76 )" "2.55 ( 0.12 )" 32.16 "0.8" 0.32 29.7 2.55 +1000 500 "0.1" 0.5 0.07 "0.28 ( 0 )" "61.47 ( 1.31 )" "0.56 ( 0.07 )" 65.91 "0.91" 0.28 61.4 0.56 +50 1000 "0.1" 20 0 "0.41 ( 0.02 )" "38.1 ( 4.05 )" "5.01 ( 0.11 )" 38.09 "0.97" 0.41 38.1 5.01 +100 1000 "0.1" 10 0.02 "0.36 ( 0.01 )" "35.49 ( 4.37 )" "4.34 ( 0.14 )" 36.15 "0.93" 0.36 35.4 4.34 +500 1000 "0.1" 2 0.1 "0.3 ( 0 )" "20.28 ( 2.74 )" "3.25 ( 0.08 )" 22.03 "0.75" 0.3 20.2 3.25 +1000 1000 "0.1" 1 0.05 "0.29 ( 0 )" "71.65 ( 3.47 )" "1.5 ( 0.1 )" 75.15 "0.9" 0.29 71.6 1.5 +50 50 "0.3" 1 0.17 "0.56 ( 0.03 )" "15.98 ( 0.61 )" "0.26 ( 0.05 )" 20.72 "0.7" 0.56 15.9 0.26 +100 50 "0.3" 0.5 0.2 "0.34 ( 0.01 )" "15.16 ( 0.6 )" "0 ( 0 )" 20.16 "0.68" 0.34 15.1 0 +500 50 "0.3" 0.1 0.19 "0.27 ( 0 )" "15.78 ( 0.58 )" "0 ( 0 )" 20.78 "0.69" 0.27 15.7 0 +1000 50 "0.3" 0.05 0.22 "0.26 ( 0 )" "14.34 ( 0.49 )" "0 ( 0 )" 19.34 "0.67" 0.26 14.3 0 +50 100 "0.3" 2 0.13 "0.81 ( 0.05 )" "22.23 ( 1.04 )" "0.7 ( 0.08 )" 26.53 "0.78" 0.81 22.2 0.7 +100 100 "0.3" 1 0.16 "0.42 ( 0.02 )" "23.17 ( 0.94 )" "0.02 ( 0.01 )" 28.15 "0.77" 0.42 23.1 0.02 +500 100 "0.3" 0.2 0.18 "0.27 ( 0 )" "21.25 ( 0.84 )" "0 ( 0 )" 26.25 "0.74" 0.27 21.2 0 +1000 100 "0.3" 0.1 0.2 "0.26 ( 0 )" "19.57 ( 0.81 )" "0 ( 0 )" 24.57 "0.73" 0.26 19.5 0 +50 500 "0.3" 10 0.05 "1.29 ( 0.07 )" "43.56 ( 3.08 )" "2.15 ( 0.13 )" 46.41 "0.89" 1.29 43.5 2.15 +100 500 "0.3" 5 0.13 "0.54 ( 0.02 )" "35.33 ( 1.21 )" "0.19 ( 0.05 )" 40.14 "0.84" 0.54 35.3 0.19 +500 500 "0.3" 1 0.14 "0.28 ( 0 )" "35.68 ( 1.62 )" "0 ( 0 )" 40.68 "0.83" 0.28 35.6 0 +1000 500 "0.3" 0.5 0.14 "0.27 ( 0 )" "36.15 ( 1.61 )" "0 ( 0 )" 41.15 "0.83" 0.27 36.1 0 +50 1000 "0.3" 20 0.03 "1.3 ( 0.07 )" "61.12 ( 4.33 )" "2.56 ( 0.12 )" 63.56 "0.93" 1.3 61.1 2.56 +100 1000 "0.3" 10 0.1 "0.68 ( 0.03 )" "41.5 ( 1.64 )" "0.61 ( 0.08 )" 45.89 "0.87" 0.68 41.5 0.61 +500 1000 "0.3" 2 0.11 "0.29 ( 0 )" "46.27 ( 2.2 )" "0 ( 0 )" 51.27 "0.86" 0.29 46.2 0 +1000 1000 "0.3" 1 0.13 "0.27 ( 0 )" "39.23 ( 2 )" "0 ( 0 )" 44.23 "0.83" 0.27 39.2 0 +50 50 "0.5" 1 0.19 "0.65 ( 0.05 )" "15.43 ( 0.64 )" "0.1 ( 0.04 )" 20.33 "0.68" 0.65 15.4 0.1 +100 50 "0.5" 0.5 0.2 "0.34 ( 0.01 )" "14.94 ( 0.61 )" "0 ( 0 )" 19.94 "0.67" 0.34 14.9 0 +500 50 "0.5" 0.1 0.2 "0.27 ( 0 )" "15.76 ( 0.59 )" "0 ( 0 )" 20.76 "0.69" 0.27 15.7 0 +1000 50 "0.5" 0.05 0.25 "0.26 ( 0 )" "12.73 ( 0.5 )" "0 ( 0 )" 17.73 "0.63" 0.26 12.7 0 +50 100 "0.5" 2 0.16 "0.8 ( 0.05 )" "21.3 ( 0.83 )" "0.3 ( 0.06 )" 26 "0.76" 0.8 21.3 0.3 +100 100 "0.5" 1 0.18 "0.37 ( 0.01 )" "21.74 ( 0.84 )" "0 ( 0 )" 26.74 "0.75" 0.37 21.7 0 +500 100 "0.5" 0.2 0.19 "0.27 ( 0 )" "20.71 ( 0.8 )" "0 ( 0 )" 25.71 "0.74" 0.27 20.7 0 +1000 100 "0.5" 0.1 0.18 "0.26 ( 0 )" "20.53 ( 0.72 )" "0 ( 0 )" 25.53 "0.75" 0.26 20.5 0 +50 500 "0.5" 10 0.08 "1.61 ( 0.1 )" "36.33 ( 2.13 )" "1.58 ( 0.11 )" 39.75 "0.87" 1.61 36.3 1.58 +100 500 "0.5" 5 0.14 "0.53 ( 0.02 )" "34.91 ( 1.29 )" "0.02 ( 0.01 )" 39.89 "0.83" 0.53 34.9 0.02 +500 500 "0.5" 1 0.15 "0.28 ( 0 )" "32.67 ( 1.7 )" "0 ( 0 )" 37.67 "0.8" 0.28 32.6 0 +1000 500 "0.5" 0.5 0.14 "0.26 ( 0 )" "33.71 ( 1.97 )" "0 ( 0 )" 38.71 "0.8" 0.26 33.7 0 +50 1000 "0.5" 20 0.04 "2 ( 0.1 )" "52.83 ( 3.84 )" "2.29 ( 0.1 )" 55.54 "0.91" 2 52.8 2.29 +100 1000 "0.5" 10 0.11 "0.68 ( 0.03 )" "43.94 ( 1.56 )" "0.14 ( 0.03 )" 48.8 "0.87" 0.68 43.9 0.14 +500 1000 "0.5" 2 0.14 "0.28 ( 0 )" "37.63 ( 1.92 )" "0 ( 0 )" 42.63 "0.83" 0.28 37.6 0 +1000 1000 "0.5" 1 0.14 "0.27 ( 0 )" "35.42 ( 1.84 )" "0 ( 0 )" 40.42 "0.82" 0.27 35.4 0 +50 50 "0.7" 1 0.18 "0.63 ( 0.04 )" "16.71 ( 0.61 )" "0.04 ( 0.02 )" 21.67 "0.7" 0.63 16.7 0.04 +100 50 "0.7" 0.5 0.22 "0.33 ( 0.01 )" "14.2 ( 0.55 )" "0 ( 0 )" 19.2 "0.66" 0.33 14.2 0 +500 50 "0.7" 0.1 0.22 "0.26 ( 0 )" "13.96 ( 0.52 )" "0 ( 0 )" 18.96 "0.66" 0.26 13.9 0 +1000 50 "0.7" 0.05 0.25 "0.26 ( 0 )" "12.77 ( 0.52 )" "0 ( 0 )" 17.77 "0.63" 0.26 12.7 0 +50 100 "0.7" 2 0.18 "0.86 ( 0.07 )" "19.83 ( 0.86 )" "0.11 ( 0.03 )" 24.72 "0.74" 0.86 19.8 0.11 +100 100 "0.7" 1 0.17 "0.38 ( 0.01 )" "22.59 ( 1.11 )" "0 ( 0 )" 27.59 "0.75" 0.38 22.5 0 +500 100 "0.7" 0.2 0.21 "0.28 ( 0 )" "17.78 ( 0.8 )" "0 ( 0 )" 22.78 "0.7" 0.28 17.7 0 +1000 100 "0.7" 0.1 0.21 "0.26 ( 0 )" "18.55 ( 0.87 )" "0 ( 0 )" 23.55 "0.71" 0.26 18.5 0 +50 500 "0.7" 10 0.1 "2.19 ( 0.14 )" "33.13 ( 1.76 )" "1.25 ( 0.11 )" 36.88 "0.86" 2.19 33.1 1.25 +100 500 "0.7" 5 0.13 "0.51 ( 0.02 )" "37.39 ( 1.42 )" "0 ( 0 )" 42.39 "0.84" 0.51 37.3 0 +500 500 "0.7" 1 0.16 "0.28 ( 0 )" "30.18 ( 1.66 )" "0 ( 0 )" 35.18 "0.79" 0.28 30.1 0 +1000 500 "0.7" 0.5 0.15 "0.26 ( 0 )" "33.3 ( 1.59 )" "0 ( 0 )" 38.3 "0.81" 0.26 33.3 0 +50 1000 "0.7" 20 0.06 "2.43 ( 0.14 )" "41.11 ( 2.8 )" "1.98 ( 0.11 )" 44.13 "0.89" 2.43 41.1 1.98 +100 1000 "0.7" 10 0.12 "0.68 ( 0.03 )" "42.68 ( 1.53 )" "0.02 ( 0.01 )" 47.66 "0.86" 0.68 42.6 0.02 +500 1000 "0.7" 2 0.12 "0.29 ( 0 )" "42.75 ( 2.32 )" "0 ( 0 )" 47.75 "0.84" 0.29 42.7 0 +1000 1000 "0.7" 1 0.14 "0.27 ( 0 )" "36.88 ( 2.33 )" "0 ( 0 )" 41.88 "0.81" 0.27 36.8 0 +50 50 "0.9" 1 0.21 "0.56 ( 0.03 )" "14.5 ( 0.57 )" "0.03 ( 0.02 )" 19.47 "0.67" 0.56 14.5 0.03 +100 50 "0.9" 0.5 0.23 "0.33 ( 0.01 )" "13.9 ( 0.6 )" "0 ( 0 )" 18.9 "0.65" 0.33 13.9 0 +500 50 "0.9" 0.1 0.25 "0.26 ( 0 )" "12.75 ( 0.49 )" "0 ( 0 )" 17.75 "0.63" 0.26 12.7 0 +1000 50 "0.9" 0.05 0.25 "0.26 ( 0 )" "12.64 ( 0.49 )" "0 ( 0 )" 17.64 "0.63" 0.26 12.6 0 +50 100 "0.9" 2 0.18 "0.75 ( 0.04 )" "20.94 ( 0.7 )" "0.07 ( 0.03 )" 25.87 "0.75" 0.75 20.9 0.07 +100 100 "0.9" 1 0.18 "0.38 ( 0.01 )" "20.8 ( 0.95 )" "0 ( 0 )" 25.8 "0.73" 0.38 20.8 0 +500 100 "0.9" 0.2 0.2 "0.26 ( 0 )" "18.74 ( 0.84 )" "0 ( 0 )" 23.74 "0.72" 0.26 18.7 0 +1000 100 "0.9" 0.1 0.19 "0.26 ( 0 )" "19.91 ( 0.91 )" "0 ( 0 )" 24.91 "0.72" 0.26 19.9 0 +50 500 "0.9" 10 0.1 "2.21 ( 0.15 )" "35.26 ( 2.1 )" "0.98 ( 0.09 )" 39.28 "0.85" 2.21 35.2 0.98 +100 500 "0.9" 5 0.14 "0.5 ( 0.02 )" "35.7 ( 1.48 )" "0 ( 0 )" 40.7 "0.83" 0.5 35.7 0 +500 500 "0.9" 1 0.15 "0.28 ( 0 )" "32.6 ( 1.76 )" "0 ( 0 )" 37.6 "0.81" 0.28 32.6 0 +1000 500 "0.9" 0.5 0.16 "0.26 ( 0 )" "30.4 ( 1.66 )" "0 ( 0 )" 35.4 "0.79" 0.26 30.4 0 +50 1000 "0.9" 20 0.07 "3.06 ( 0.18 )" "43.09 ( 2.82 )" "1.57 ( 0.1 )" 46.52 "0.88" 3.06 43 1.57 +100 1000 "0.9" 10 0.12 "0.59 ( 0.03 )" "43.91 ( 1.31 )" "0 ( 0 )" 48.91 "0.87" 0.59 43.9 0 +500 1000 "0.9" 2 0.12 "0.29 ( 0 )" "41.57 ( 2.28 )" "0 ( 0 )" 46.57 "0.84" 0.29 41.5 0 +1000 1000 "0.9" 1 0.13 "0.27 ( 0 )" "38.76 ( 2.16 )" "0 ( 0 )" 43.76 "0.82" 0.27 38.7 0 diff --git a/simulations/results_summary/sim_block_lasso.txt b/simulations/results_summary/sim_block_lasso.txt new file mode 100644 index 0000000..0c68943 --- /dev/null +++ b/simulations/results_summary/sim_block_lasso.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 "0.1" 1 0.05 "0.36 ( 0.01 )" "3.52 ( 0.22 )" "4.92 ( 0.08 )" 3.6 "0.65" 0.36 3.52 4.92 +100 50 "0.1" 0.5 0.18 "0.31 ( 0.01 )" "2.71 ( 0.25 )" "4.4 ( 0.1 )" 3.31 "0.42" 0.31 2.71 4.4 +500 50 "0.1" 0.1 0.35 "0.29 ( 0 )" "5.42 ( 0.25 )" "1.97 ( 0.11 )" 8.45 "0.48" 0.29 5.42 1.97 +1000 50 "0.1" 0.05 0.44 "0.28 ( 0 )" "4.91 ( 0.2 )" "1.57 ( 0.09 )" 8.34 "0.44" 0.28 4.91 1.57 +50 100 "0.1" 2 0.06 "0.37 ( 0.02 )" "4.73 ( 0.22 )" "4.79 ( 0.08 )" 4.94 "0.72" 0.37 4.73 4.79 +100 100 "0.1" 1 0.13 "0.34 ( 0.01 )" "3 ( 0.15 )" "4.75 ( 0.09 )" 3.25 "0.57" 0.34 3 4.75 +500 100 "0.1" 0.2 0.24 "0.3 ( 0 )" "8.56 ( 0.5 )" "2.13 ( 0.12 )" 11.43 "0.57" 0.3 8.56 2.13 +1000 100 "0.1" 0.1 0.33 "0.29 ( 0 )" "7.77 ( 0.33 )" "1.44 ( 0.08 )" 11.33 "0.56" 0.29 7.77 1.44 +50 500 "0.1" 10 0.01 "0.37 ( 0.02 )" "10.58 ( 0.31 )" "5.25 ( 0.07 )" 10.33 "0.92" 0.37 10.5 5.25 +100 500 "0.1" 5 0.05 "0.35 ( 0.01 )" "6.23 ( 0.26 )" "4.94 ( 0.08 )" 6.29 "0.82" 0.35 6.23 4.94 +500 500 "0.1" 1 0.33 "0.32 ( 0.01 )" "3.77 ( 0.75 )" "3.69 ( 0.08 )" 5.08 "0.27" 0.32 3.77 3.69 +1000 500 "0.1" 0.5 0.14 "0.29 ( 0 )" "20.61 ( 1.39 )" "2.11 ( 0.1 )" 23.5 "0.69" 0.29 20.6 2.11 +50 1000 "0.1" 20 0.01 "0.39 ( 0.02 )" "13.99 ( 0.32 )" "5.31 ( 0.07 )" 13.68 "0.95" 0.39 13.9 5.31 +100 1000 "0.1" 10 0.03 "0.35 ( 0.01 )" "9.56 ( 0.33 )" "5.01 ( 0.08 )" 9.55 "0.89" 0.35 9.56 5.01 +500 1000 "0.1" 2 0.48 "0.33 ( 0 )" "1.83 ( 0.19 )" "3.97 ( 0.07 )" 2.86 "0.2" 0.33 1.83 3.97 +1000 1000 "0.1" 1 0.17 "0.3 ( 0 )" "13.42 ( 1.74 )" "2.77 ( 0.09 )" 15.65 "0.47" 0.3 13.4 2.77 +50 50 "0.3" 1 0.27 "0.72 ( 0.04 )" "8.7 ( 0.42 )" "0.79 ( 0.09 )" 12.91 "0.56" 0.72 8.7 0.79 +100 50 "0.3" 0.5 0.39 "0.4 ( 0.01 )" "7.91 ( 0.47 )" "0.01 ( 0.01 )" 12.9 "0.48" 0.4 7.91 0.01 +500 50 "0.3" 0.1 0.63 "0.28 ( 0 )" "3.86 ( 0.25 )" "0 ( 0 )" 8.86 "0.28" 0.28 3.86 0 +1000 50 "0.3" 0.05 0.78 "0.27 ( 0 )" "2.45 ( 0.14 )" "0 ( 0 )" 7.45 "0.17" 0.27 2.45 0 +50 100 "0.3" 2 0.21 "0.82 ( 0.05 )" "12.31 ( 0.43 )" "1.14 ( 0.1 )" 16.17 "0.68" 0.82 12.3 1.14 +100 100 "0.3" 1 0.34 "0.44 ( 0.01 )" "10.58 ( 0.62 )" "0.09 ( 0.03 )" 15.49 "0.56" 0.44 10.5 0.09 +500 100 "0.3" 0.2 0.61 "0.27 ( 0 )" "4.51 ( 0.29 )" "0 ( 0 )" 9.51 "0.32" 0.27 4.51 0 +1000 100 "0.3" 0.1 0.69 "0.27 ( 0 )" "3.46 ( 0.29 )" "0 ( 0 )" 8.46 "0.24" 0.27 3.46 0 +50 500 "0.3" 10 0.09 "1.25 ( 0.07 )" "20.71 ( 0.36 )" "2.63 ( 0.11 )" 23.08 "0.85" 1.25 20.7 2.63 +100 500 "0.3" 5 0.23 "0.59 ( 0.02 )" "18.01 ( 0.69 )" "0.35 ( 0.06 )" 22.66 "0.73" 0.59 18 0.35 +500 500 "0.3" 1 0.47 "0.29 ( 0 )" "7.7 ( 0.54 )" "0 ( 0 )" 12.7 "0.45" 0.29 7.7 0 +1000 500 "0.3" 0.5 0.53 "0.27 ( 0 )" "6.14 ( 0.57 )" "0 ( 0 )" 11.14 "0.36" 0.27 6.14 0 +50 1000 "0.3" 20 0.06 "1.51 ( 0.08 )" "24.06 ( 0.36 )" "3.21 ( 0.11 )" 25.85 "0.89" 1.51 24 3.21 +100 1000 "0.3" 10 0.17 "0.67 ( 0.03 )" "22.69 ( 0.61 )" "0.73 ( 0.08 )" 26.96 "0.8" 0.67 22.6 0.73 +500 1000 "0.3" 2 0.35 "0.29 ( 0 )" "11.72 ( 0.9 )" "0 ( 0 )" 16.72 "0.55" 0.29 11.7 0 +1000 1000 "0.3" 1 0.51 "0.27 ( 0 )" "6.69 ( 0.52 )" "0 ( 0 )" 11.69 "0.41" 0.27 6.69 0 +50 50 "0.5" 1 0.33 "0.64 ( 0.03 )" "9.36 ( 0.45 )" "0.12 ( 0.04 )" 14.24 "0.55" 0.64 9.36 0.12 +100 50 "0.5" 0.5 0.41 "0.36 ( 0.01 )" "7.39 ( 0.39 )" "0 ( 0 )" 12.39 "0.47" 0.36 7.39 0 +500 50 "0.5" 0.1 0.7 "0.28 ( 0 )" "3.18 ( 0.23 )" "0 ( 0 )" 8.18 "0.22" 0.28 3.18 0 +1000 50 "0.5" 0.05 0.82 "0.27 ( 0 )" "2.11 ( 0.13 )" "0 ( 0 )" 7.11 "0.13" 0.27 2.11 0 +50 100 "0.5" 2 0.28 "0.78 ( 0.05 )" "12.05 ( 0.47 )" "0.38 ( 0.07 )" 16.67 "0.64" 0.78 12 0.38 +100 100 "0.5" 1 0.37 "0.42 ( 0.02 )" "9.57 ( 0.58 )" "0 ( 0 )" 14.57 "0.54" 0.42 9.57 0 +500 100 "0.5" 0.2 0.59 "0.27 ( 0 )" "4.7 ( 0.3 )" "0 ( 0 )" 9.7 "0.33" 0.27 4.7 0 +1000 100 "0.5" 0.1 0.78 "0.27 ( 0 )" "2.58 ( 0.16 )" "0 ( 0 )" 7.58 "0.18" 0.27 2.58 0 +50 500 "0.5" 10 0.12 "1.64 ( 0.1 )" "21.8 ( 0.36 )" "1.82 ( 0.11 )" 24.98 "0.83" 1.64 21.8 1.82 +100 500 "0.5" 5 0.24 "0.55 ( 0.02 )" "18.37 ( 0.77 )" "0.04 ( 0.02 )" 23.33 "0.72" 0.55 18.3 0.04 +500 500 "0.5" 1 0.46 "0.3 ( 0 )" "7.82 ( 0.64 )" "0 ( 0 )" 12.82 "0.44" 0.3 7.82 0 +1000 500 "0.5" 0.5 0.65 "0.28 ( 0 )" "4.16 ( 0.33 )" "0 ( 0 )" 9.16 "0.28" 0.28 4.16 0 +50 1000 "0.5" 20 0.09 "1.84 ( 0.1 )" "24.67 ( 0.36 )" "2.56 ( 0.11 )" 27.11 "0.87" 1.84 24.6 2.56 +100 1000 "0.5" 10 0.21 "0.64 ( 0.03 )" "22.01 ( 0.65 )" "0.12 ( 0.03 )" 26.89 "0.77" 0.64 22 0.12 +500 1000 "0.5" 2 0.45 "0.29 ( 0 )" "8.22 ( 0.73 )" "0 ( 0 )" 13.22 "0.44" 0.29 8.22 0 +1000 1000 "0.5" 1 0.53 "0.27 ( 0 )" "6.36 ( 0.51 )" "0 ( 0 )" 11.36 "0.39" 0.27 6.36 0 +50 50 "0.7" 1 0.36 "0.57 ( 0.04 )" "8.63 ( 0.41 )" "0.06 ( 0.02 )" 13.57 "0.52" 0.57 8.63 0.06 +100 50 "0.7" 0.5 0.45 "0.37 ( 0.01 )" "6.73 ( 0.39 )" "0 ( 0 )" 11.73 "0.44" 0.37 6.73 0 +500 50 "0.7" 0.1 0.71 "0.28 ( 0 )" "3.01 ( 0.2 )" "0 ( 0 )" 8.01 "0.22" 0.28 3.01 0 +1000 50 "0.7" 0.05 0.85 "0.27 ( 0 )" "1.89 ( 0.12 )" "0 ( 0 )" 6.89 "0.11" 0.27 1.89 0 +50 100 "0.7" 2 0.3 "0.82 ( 0.05 )" "11.87 ( 0.44 )" "0.17 ( 0.05 )" 16.7 "0.63" 0.82 11.8 0.17 +100 100 "0.7" 1 0.37 "0.41 ( 0.02 )" "9.7 ( 0.63 )" "0 ( 0 )" 14.7 "0.53" 0.41 9.7 0 +500 100 "0.7" 0.2 0.66 "0.28 ( 0 )" "3.85 ( 0.3 )" "0 ( 0 )" 8.85 "0.26" 0.28 3.85 0 +1000 100 "0.7" 0.1 0.76 "0.27 ( 0 )" "2.71 ( 0.23 )" "0 ( 0 )" 7.71 "0.17" 0.27 2.71 0 +50 500 "0.7" 10 0.15 "2.03 ( 0.14 )" "21.53 ( 0.36 )" "1.18 ( 0.11 )" 25.35 "0.81" 2.03 21.5 1.18 +100 500 "0.7" 5 0.28 "0.54 ( 0.02 )" "16.11 ( 0.63 )" "0 ( 0 )" 21.11 "0.69" 0.54 16.1 0 +500 500 "0.7" 1 0.51 "0.29 ( 0 )" "6.69 ( 0.45 )" "0 ( 0 )" 11.69 "0.42" 0.29 6.69 0 +1000 500 "0.7" 0.5 0.62 "0.28 ( 0 )" "4.65 ( 0.37 )" "0 ( 0 )" 9.65 "0.3" 0.28 4.65 0 +50 1000 "0.7" 20 0.1 "2.51 ( 0.13 )" "25.24 ( 0.32 )" "2.11 ( 0.12 )" 28.13 "0.86" 2.51 25.2 2.11 +100 1000 "0.7" 10 0.22 "0.59 ( 0.02 )" "21.52 ( 0.68 )" "0.01 ( 0.01 )" 26.51 "0.76" 0.59 21.5 0.01 +500 1000 "0.7" 2 0.47 "0.3 ( 0 )" "7.81 ( 0.61 )" "0 ( 0 )" 12.81 "0.45" 0.3 7.81 0 +1000 1000 "0.7" 1 0.65 "0.28 ( 0 )" "4.14 ( 0.35 )" "0 ( 0 )" 9.14 "0.27" 0.28 4.14 0 +50 50 "0.9" 1 0.32 "0.61 ( 0.05 )" "9.61 ( 0.49 )" "0.07 ( 0.03 )" 14.54 "0.55" 0.61 9.61 0.07 +100 50 "0.9" 0.5 0.44 "0.37 ( 0.01 )" "6.82 ( 0.39 )" "0 ( 0 )" 11.82 "0.44" 0.37 6.82 0 +500 50 "0.9" 0.1 0.75 "0.27 ( 0 )" "2.68 ( 0.17 )" "0 ( 0 )" 7.68 "0.19" 0.27 2.68 0 +1000 50 "0.9" 0.05 0.87 "0.27 ( 0 )" "1.76 ( 0.11 )" "0 ( 0 )" 6.76 "0.09" 0.27 1.76 0 +50 100 "0.9" 2 0.29 "0.87 ( 0.05 )" "12.12 ( 0.37 )" "0.17 ( 0.05 )" 16.95 "0.64" 0.87 12.1 0.17 +100 100 "0.9" 1 0.4 "0.38 ( 0.01 )" "8.72 ( 0.53 )" "0 ( 0 )" 13.72 "0.51" 0.38 8.72 0 +500 100 "0.9" 0.2 0.67 "0.27 ( 0 )" "3.68 ( 0.28 )" "0 ( 0 )" 8.68 "0.25" 0.27 3.68 0 +1000 100 "0.9" 0.1 0.76 "0.27 ( 0 )" "2.72 ( 0.23 )" "0 ( 0 )" 7.72 "0.17" 0.27 2.72 0 +50 500 "0.9" 10 0.14 "2.29 ( 0.15 )" "23.7 ( 0.43 )" "1.18 ( 0.11 )" 27.52 "0.82" 2.29 23.7 1.18 +100 500 "0.9" 5 0.28 "0.51 ( 0.02 )" "16.13 ( 0.62 )" "0 ( 0 )" 21.13 "0.69" 0.51 16.1 0 +500 500 "0.9" 1 0.5 "0.29 ( 0 )" "6.87 ( 0.54 )" "0 ( 0 )" 11.87 "0.41" 0.29 6.87 0 +1000 500 "0.9" 0.5 0.71 "0.27 ( 0 )" "3.37 ( 0.27 )" "0 ( 0 )" 8.37 "0.23" 0.27 3.37 0 +50 1000 "0.9" 20 0.11 "2.46 ( 0.16 )" "25.37 ( 0.35 )" "1.73 ( 0.12 )" 28.64 "0.85" 2.46 25.3 1.73 +100 1000 "0.9" 10 0.22 "0.62 ( 0.03 )" "21.43 ( 0.62 )" "0 ( 0 )" 26.43 "0.76" 0.62 21.4 0 +500 1000 "0.9" 2 0.46 "0.3 ( 0 )" "7.99 ( 0.79 )" "0 ( 0 )" 12.99 "0.42" 0.3 7.99 0 +1000 1000 "0.9" 1 0.6 "0.28 ( 0 )" "4.93 ( 0.43 )" "0 ( 0 )" 9.93 "0.31" 0.28 4.93 0 diff --git a/simulations/results_summary/sim_block_rf.txt b/simulations/results_summary/sim_block_rf.txt new file mode 100644 index 0000000..badb16b --- /dev/null +++ b/simulations/results_summary/sim_block_rf.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "OOB" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" "OOB_mean" +50 50 "0.1" 1 0 "0.08 ( 0 )" "1 ( 0 )" "6 ( 0 )" "0.59 ( 0.01 )" 0 "NaN" 0.08 1 6 0.59 +100 50 "0.1" 0.5 0.03 "0.07 ( 0 )" "2.26 ( 0.17 )" "5.06 ( 0.12 )" "0.58 ( 0 )" 3.04 "0.7" 0.07 2.26 5.06 0.58 +500 50 "0.1" 0.1 0.23 "0.05 ( 0 )" "2.34 ( 0.16 )" "3.77 ( 0.14 )" "0.56 ( 0 )" 4.56 "0.49" 0.05 2.34 3.77 0.56 +1000 50 "0.1" 0.05 0.51 "0.05 ( 0 )" "2.37 ( 0.16 )" "2.54 ( 0.11 )" "0.55 ( 0 )" 5.83 "0.38" 0.05 2.37 2.54 0.55 +50 100 "0.1" 2 0 "0.08 ( 0 )" "1 ( 0 )" "6 ( 0 )" "0.6 ( 0.01 )" 0 "NaN" 0.08 1 6 0.6 +100 100 "0.1" 1 0.01 "0.07 ( 0 )" "4.76 ( 0.27 )" "5.51 ( 0.09 )" "0.58 ( 0 )" 5.24 "0.91" 0.07 4.76 5.51 0.58 +500 100 "0.1" 0.2 0.22 "0.05 ( 0 )" "4.86 ( 0.25 )" "3.36 ( 0.15 )" "0.57 ( 0 )" 7.5 "0.63" 0.05 4.86 3.36 0.57 +1000 100 "0.1" 0.1 0.52 "0.05 ( 0 )" "4.65 ( 0.2 )" "1.99 ( 0.13 )" "0.56 ( 0 )" 8.66 "0.52" 0.05 4.65 1.99 0.56 +50 500 "0.1" 10 0 "0.08 ( 0 )" "1 ( 0 )" "6 ( 0 )" "0.59 ( 0.01 )" 0 "NaN" 0.08 1 6 0.59 +100 500 "0.1" 5 0 "0.07 ( 0 )" "23.53 ( 0.53 )" "5.27 ( 0.11 )" "0.59 ( 0 )" 24.26 "0.97" 0.07 23.5 5.27 0.59 +500 500 "0.1" 1 0.07 "0.06 ( 0 )" "23.98 ( 0.51 )" "3.3 ( 0.16 )" "0.58 ( 0 )" 26.68 "0.9" 0.06 23.9 3.3 0.58 +1000 500 "0.1" 0.5 0.17 "0.05 ( 0 )" "23.6 ( 0.51 )" "1.93 ( 0.15 )" "0.57 ( 0 )" 27.67 "0.85" 0.05 23.6 1.93 0.57 +50 1000 "0.1" 20 0 "0.08 ( 0 )" "1 ( 0 )" "6 ( 0 )" "0.59 ( 0.01 )" 0 "NaN" 0.08 1 6 0.59 +100 1000 "0.1" 10 0 "0.06 ( 0 )" "48.27 ( 0.79 )" "5.46 ( 0.08 )" "0.59 ( 0 )" 48.81 "0.99" 0.06 48.2 5.46 0.59 +500 1000 "0.1" 2 0.02 "0.06 ( 0 )" "48.48 ( 0.7 )" "3.65 ( 0.16 )" "0.58 ( 0 )" 50.83 "0.95" 0.06 48.4 3.65 0.58 +1000 1000 "0.1" 1 0.07 "0.05 ( 0 )" "47.72 ( 0.68 )" "2.25 ( 0.14 )" "0.58 ( 0 )" 51.47 "0.93" 0.05 47.7 2.25 0.58 +50 50 "0.3" 1 0 "0.31 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1.14 ( 0.01 )" 0 "NaN" 0.31 1 6 1.14 +100 50 "0.3" 0.5 0.05 "0.25 ( 0.01 )" "1.97 ( 0.13 )" "4.84 ( 0.08 )" "1.05 ( 0.01 )" 3.11 "0.59" 0.25 1.97 4.84 1.05 +500 50 "0.3" 0.1 0.65 "0.16 ( 0 )" "0.74 ( 0.08 )" "1.78 ( 0.08 )" "0.84 ( 0 )" 4.96 "0.14" 0.16 0.74 1.78 0.84 +1000 50 "0.3" 0.05 0.84 "0.13 ( 0 )" "0.3 ( 0.05 )" "0.69 ( 0.07 )" "0.77 ( 0 )" 5.61 "0.05" 0.13 0.3 0.69 0.77 +50 100 "0.3" 2 0 "0.32 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1.2 ( 0.01 )" 0 "NaN" 0.32 1 6 1.2 +100 100 "0.3" 1 0.05 "0.25 ( 0.01 )" "4.14 ( 0.18 )" "4.63 ( 0.1 )" "1.14 ( 0.01 )" 5.51 "0.74" 0.25 4.14 4.63 1.14 +500 100 "0.3" 0.2 0.47 "0.19 ( 0 )" "2.7 ( 0.14 )" "1.77 ( 0.09 )" "0.93 ( 0 )" 6.93 "0.37" 0.19 2.7 1.77 0.93 +1000 100 "0.3" 0.1 0.66 "0.16 ( 0 )" "1.78 ( 0.13 )" "0.64 ( 0.07 )" "0.86 ( 0 )" 7.14 "0.23" 0.16 1.78 0.64 0.86 +50 500 "0.3" 10 0 "0.36 ( 0.02 )" "1 ( 0 )" "6 ( 0 )" "1.23 ( 0.01 )" 0 "NaN" 0.36 1 6 1.23 +100 500 "0.3" 5 0.01 "0.25 ( 0.01 )" "25.01 ( 0.53 )" "4.87 ( 0.09 )" "1.22 ( 0.01 )" 26.14 "0.96" 0.25 25 4.87 1.22 +500 500 "0.3" 1 0.09 "0.23 ( 0 )" "22.67 ( 0.44 )" "2.42 ( 0.09 )" "1.14 ( 0 )" 26.25 "0.86" 0.23 22.6 2.42 1.14 +1000 500 "0.3" 0.5 0.16 "0.22 ( 0 )" "19.38 ( 0.47 )" "1.14 ( 0.07 )" "1.11 ( 0 )" 24.24 "0.79" 0.22 19.3 1.14 1.11 +50 1000 "0.3" 20 0 "0.34 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1.26 ( 0.01 )" 0 "NaN" 0.34 1 6 1.26 +100 1000 "0.3" 10 0 "0.26 ( 0.01 )" "48.76 ( 0.63 )" "5.22 ( 0.09 )" "1.21 ( 0.01 )" 49.54 "0.98" 0.26 48.7 5.22 1.21 +500 1000 "0.3" 2 0.04 "0.23 ( 0 )" "46.28 ( 0.69 )" "2.72 ( 0.1 )" "1.19 ( 0 )" 49.56 "0.93" 0.23 46.2 2.72 1.19 +1000 1000 "0.3" 1 0.07 "0.23 ( 0 )" "44.67 ( 0.68 )" "1.33 ( 0.08 )" "1.17 ( 0 )" 49.34 "0.9" 0.23 44.6 1.33 1.17 +50 50 "0.5" 1 0 "0.6 ( 0.03 )" "1 ( 0 )" "6 ( 0 )" "1.46 ( 0.01 )" 0 "NaN" 0.6 1 6 1.46 +100 50 "0.5" 0.5 0.09 "0.42 ( 0.01 )" "1.75 ( 0.14 )" "4.6 ( 0.09 )" "1.33 ( 0.01 )" 3.15 "0.5" 0.42 1.75 4.6 1.33 +500 50 "0.5" 0.1 0.71 "0.26 ( 0 )" "0.56 ( 0.07 )" "1.57 ( 0.08 )" "1.02 ( 0 )" 4.99 "0.1" 0.26 0.56 1.57 1.02 +1000 50 "0.5" 0.05 0.85 "0.2 ( 0 )" "0.24 ( 0.05 )" "0.73 ( 0.07 )" "0.93 ( 0 )" 5.51 "0.04" 0.2 0.24 0.73 0.93 +50 100 "0.5" 2 0 "0.6 ( 0.02 )" "1 ( 0 )" "6 ( 0 )" "1.56 ( 0.01 )" 0 "NaN" 0.6 1 6 1.56 +100 100 "0.5" 1 0.06 "0.47 ( 0.02 )" "4.15 ( 0.17 )" "4.61 ( 0.09 )" "1.45 ( 0.01 )" 5.54 "0.74" 0.47 4.15 4.61 1.45 +500 100 "0.5" 0.2 0.52 "0.32 ( 0 )" "2.32 ( 0.14 )" "1.5 ( 0.09 )" "1.16 ( 0 )" 6.82 "0.32" 0.32 2.32 1.5 1.16 +1000 100 "0.5" 0.1 0.73 "0.26 ( 0 )" "1.21 ( 0.1 )" "0.6 ( 0.07 )" "1.06 ( 0 )" 6.61 "0.17" 0.26 1.21 0.6 1.06 +50 500 "0.5" 10 0 "0.58 ( 0.02 )" "1 ( 0 )" "6 ( 0 )" "1.64 ( 0.02 )" 0 "NaN" 0.58 1 6 1.64 +100 500 "0.5" 5 0.01 "0.46 ( 0.01 )" "24.25 ( 0.46 )" "4.96 ( 0.09 )" "1.6 ( 0.01 )" 25.29 "0.96" 0.46 24.2 4.96 1.6 +500 500 "0.5" 1 0.11 "0.41 ( 0 )" "21.23 ( 0.42 )" "2.01 ( 0.1 )" "1.49 ( 0 )" 25.22 "0.84" 0.41 21.2 2.01 1.49 +1000 500 "0.5" 0.5 0.17 "0.37 ( 0 )" "18.91 ( 0.41 )" "0.96 ( 0.07 )" "1.44 ( 0 )" 23.95 "0.78" 0.37 18.9 0.96 1.44 +50 1000 "0.5" 20 0 "0.57 ( 0.02 )" "1 ( 0 )" "6 ( 0 )" "1.64 ( 0.02 )" 0 "NaN" 0.57 1 6 1.64 +100 1000 "0.5" 10 0 "0.47 ( 0.01 )" "49.88 ( 0.68 )" "5.13 ( 0.08 )" "1.62 ( 0.01 )" 50.75 "0.98" 0.47 49.8 5.13 1.62 +500 1000 "0.5" 2 0.05 "0.42 ( 0 )" "45.98 ( 0.68 )" "2.22 ( 0.09 )" "1.57 ( 0 )" 49.76 "0.92" 0.42 45.9 2.22 1.57 +1000 1000 "0.5" 1 0.08 "0.4 ( 0 )" "44.42 ( 0.63 )" "1.13 ( 0.07 )" "1.53 ( 0 )" 49.29 "0.9" 0.4 44.4 1.13 1.53 +50 50 "0.7" 1 0 "0.8 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "1.72 ( 0.02 )" 0 "NaN" 0.8 1 6 1.72 +100 50 "0.7" 0.5 0.11 "0.59 ( 0.02 )" "1.85 ( 0.14 )" "4.52 ( 0.08 )" "1.57 ( 0.01 )" 3.32 "0.51" 0.59 1.85 4.52 1.57 +500 50 "0.7" 0.1 0.71 "0.35 ( 0 )" "0.51 ( 0.07 )" "1.72 ( 0.09 )" "1.17 ( 0 )" 4.79 "0.1" 0.35 0.51 1.72 1.17 +1000 50 "0.7" 0.05 0.87 "0.27 ( 0 )" "0.18 ( 0.05 )" "0.72 ( 0.07 )" "1.06 ( 0 )" 5.46 "0.03" 0.27 0.18 0.72 1.06 +50 100 "0.7" 2 0 "0.92 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "1.85 ( 0.02 )" 0 "NaN" 0.92 1 6 1.85 +100 100 "0.7" 1 0.05 "0.63 ( 0.02 )" "4.69 ( 0.18 )" "4.65 ( 0.09 )" "1.7 ( 0.01 )" 6.04 "0.77" 0.63 4.69 4.65 1.7 +500 100 "0.7" 0.2 0.53 "0.43 ( 0 )" "2.27 ( 0.15 )" "1.46 ( 0.09 )" "1.36 ( 0 )" 6.81 "0.31" 0.43 2.27 1.46 1.36 +1000 100 "0.7" 0.1 0.71 "0.35 ( 0 )" "1.47 ( 0.13 )" "0.63 ( 0.06 )" "1.22 ( 0 )" 6.84 "0.19" 0.35 1.47 0.63 1.22 +50 500 "0.7" 10 0 "0.91 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "2 ( 0.02 )" 0 "NaN" 0.91 1 6 2 +100 500 "0.7" 5 0.01 "0.69 ( 0.02 )" "24.52 ( 0.45 )" "4.6 ( 0.09 )" "1.93 ( 0.01 )" 25.92 "0.95" 0.69 24.5 4.6 1.93 +500 500 "0.7" 1 0.12 "0.57 ( 0.01 )" "20.96 ( 0.41 )" "1.86 ( 0.09 )" "1.77 ( 0.01 )" 25.1 "0.83" 0.57 20.9 1.86 1.77 +1000 500 "0.7" 0.5 0.17 "0.52 ( 0 )" "18.88 ( 0.46 )" "1.01 ( 0.08 )" "1.7 ( 0 )" 23.87 "0.78" 0.52 18.8 1.01 1.7 +50 1000 "0.7" 20 0 "0.91 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "1.98 ( 0.02 )" 0 "NaN" 0.91 1 6 1.98 +100 1000 "0.7" 10 0.01 "0.66 ( 0.02 )" "49.65 ( 0.71 )" "4.89 ( 0.09 )" "1.93 ( 0.01 )" 50.76 "0.98" 0.66 49.6 4.89 1.93 +500 1000 "0.7" 2 0.05 "0.6 ( 0.01 )" "47.23 ( 0.73 )" "2.18 ( 0.1 )" "1.88 ( 0.01 )" 51.05 "0.92" 0.6 47.2 2.18 1.88 +1000 1000 "0.7" 1 0.08 "0.57 ( 0 )" "43.91 ( 0.67 )" "1.1 ( 0.08 )" "1.82 ( 0 )" 48.81 "0.9" 0.57 43.9 1.1 1.82 +50 50 "0.9" 1 0 "1.1 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "1.99 ( 0.02 )" 0 "NaN" 1.1 1 6 1.99 +100 50 "0.9" 0.5 0.16 "0.78 ( 0.02 )" "1.56 ( 0.11 )" "4.38 ( 0.09 )" "1.78 ( 0.01 )" 3.16 "0.46" 0.78 1.56 4.38 1.78 +500 50 "0.9" 0.1 0.74 "0.44 ( 0 )" "0.45 ( 0.06 )" "1.49 ( 0.08 )" "1.31 ( 0 )" 4.96 "0.08" 0.44 0.45 1.49 1.31 +1000 50 "0.9" 0.05 0.86 "0.34 ( 0 )" "0.14 ( 0.04 )" "0.86 ( 0.08 )" "1.17 ( 0 )" 5.28 "0.02" 0.34 0.14 0.86 1.17 +50 100 "0.9" 2 0 "1.11 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.06 ( 0.02 )" 0 "NaN" 1.11 1 6 2.06 +100 100 "0.9" 1 0.09 "0.84 ( 0.02 )" "3.94 ( 0.18 )" "4.32 ( 0.09 )" "1.95 ( 0.01 )" 5.62 "0.68" 0.84 3.94 4.32 1.95 +500 100 "0.9" 0.2 0.55 "0.54 ( 0.01 )" "2.11 ( 0.15 )" "1.47 ( 0.08 )" "1.51 ( 0 )" 6.64 "0.29" 0.54 2.11 1.47 1.51 +1000 100 "0.9" 0.1 0.76 "0.44 ( 0 )" "1.05 ( 0.11 )" "0.55 ( 0.06 )" "1.36 ( 0 )" 6.5 "0.14" 0.44 1.05 0.55 1.36 +50 500 "0.9" 10 0 "1.18 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.2 ( 0.02 )" 0 "NaN" 1.18 1 6 2.2 +100 500 "0.9" 5 0.01 "0.86 ( 0.02 )" "24.13 ( 0.47 )" "4.7 ( 0.09 )" "2.18 ( 0.02 )" 25.43 "0.95" 0.86 24.1 4.7 2.18 +500 500 "0.9" 1 0.12 "0.73 ( 0.01 )" "20.83 ( 0.45 )" "2.04 ( 0.09 )" "2 ( 0.01 )" 24.79 "0.84" 0.73 20.8 2.04 2 +1000 500 "0.9" 0.5 0.18 "0.68 ( 0.01 )" "18.47 ( 0.43 )" "1 ( 0.07 )" "1.92 ( 0 )" 23.47 "0.78" 0.68 18.4 0 1.92 +50 1000 "0.9" 20 0 "1.22 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.3 ( 0.03 )" 0 "NaN" 1.22 1 6 2.3 +100 1000 "0.9" 10 0.01 "0.93 ( 0.02 )" "49.18 ( 0.69 )" "4.67 ( 0.09 )" "2.22 ( 0.02 )" 50.51 "0.97" 0.93 49.1 4.67 2.22 +500 1000 "0.9" 2 0.06 "0.78 ( 0.01 )" "46.01 ( 0.7 )" "2.14 ( 0.09 )" "2.12 ( 0.01 )" 49.87 "0.92" 0.78 46 2.14 2.12 +1000 1000 "0.9" 1 0.08 "0.74 ( 0.01 )" "43.05 ( 0.72 )" "1.17 ( 0.08 )" "2.07 ( 0 )" 47.88 "0.9" 0.74 43 1.17 2.07 diff --git a/simulations/results_summary/sim_ind_compLasso.txt b/simulations/results_summary/sim_ind_compLasso.txt new file mode 100644 index 0000000..52ebf9a --- /dev/null +++ b/simulations/results_summary/sim_ind_compLasso.txt @@ -0,0 +1,17 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 1 0.61 "0.8 ( 0.05 )" "2.99 ( 0.27 )" "0.05 ( 0.02 )" 8.94 "0.28" 0.8 2.99 0.05 +100 50 0.5 0.87 "0.98 ( 0.06 )" "0.79 ( 0.15 )" "0 ( 0 )" 6.79 "0.09" 0.98 0.79 0 +500 50 0.1 0.91 "1.08 ( 0.05 )" "0.51 ( 0.11 )" "0 ( 0 )" 6.51 "0.06" 1.08 0.51 0 +1000 50 0.05 0.93 "1.18 ( 0.04 )" "0.39 ( 0.15 )" "0 ( 0 )" 6.39 "0.04" 1.18 0.39 0 +50 100 2 0.52 "1.05 ( 0.07 )" "4.3 ( 0.31 )" "0.24 ( 0.05 )" 10.06 "0.37" 1.05 4.3 0.24 +100 100 1 0.85 "0.94 ( 0.04 )" "1.02 ( 0.19 )" "0 ( 0 )" 7.02 "0.11" 0.94 1.02 0 +500 100 0.2 0.96 "1.16 ( 0.04 )" "0.25 ( 0.09 )" "0 ( 0 )" 6.25 "0.03" 1.16 0.25 0 +1000 100 0.1 0.89 "1.04 ( 0.05 )" "0.71 ( 0.15 )" "0 ( 0 )" 6.71 "0.08" 1.04 0.71 0 +50 500 10 0.38 "2.18 ( 0.13 )" "5.53 ( 0.36 )" "1.27 ( 0.11 )" 10.26 "0.48" 2.18 5.53 1.27 +100 500 5 0.75 "1 ( 0.05 )" "1.9 ( 0.29 )" "0.03 ( 0.02 )" 7.87 "0.18" 1 1.9 0.03 +500 500 1 0.96 "1.18 ( 0.04 )" "0.27 ( 0.13 )" "0 ( 0 )" 6.27 "0.03" 1.18 0.27 0 +1000 500 0.5 0.96 "1.24 ( 0.04 )" "0.25 ( 0.1 )" "0 ( 0 )" 6.25 "0.03" 1.24 0.25 0 +50 1000 20 0.32 "3.09 ( 0.23 )" "5.56 ( 0.36 )" "1.95 ( 0.14 )" 9.61 "0.51" 3.09 5.56 1.95 +100 1000 10 0.67 "1.1 ( 0.07 )" "2.8 ( 0.37 )" "0.04 ( 0.02 )" 8.76 "0.24" 1.1 2.8 0.04 +500 1000 2 0.96 "1.12 ( 0.04 )" "0.27 ( 0.08 )" "0 ( 0 )" 6.27 "0.03" 1.12 0.27 0 +1000 1000 1 0.96 "1.16 ( 0.04 )" "0.24 ( 0.07 )" "0 ( 0 )" 6.24 "0.03" 1.16 0.24 0 diff --git a/simulations/results_summary/sim_ind_elnet.txt b/simulations/results_summary/sim_ind_elnet.txt new file mode 100644 index 0000000..0273d31 --- /dev/null +++ b/simulations/results_summary/sim_ind_elnet.txt @@ -0,0 +1,17 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 1 0.2 "0.53 ( 0.03 )" "14.99 ( 0.59 )" "0 ( 0 )" 19.99 "0.67" 0.53 14.9 0 +100 50 0.5 0.23 "0.34 ( 0.01 )" "13.46 ( 0.55 )" "0 ( 0 )" 18.46 "0.65" 0.34 13.4 0 +500 50 0.1 0.23 "0.26 ( 0 )" "13.65 ( 0.56 )" "0 ( 0 )" 18.65 "0.64" 0.26 13.6 0 +1000 50 0.05 0.27 "0.25 ( 0 )" "11.76 ( 0.53 )" "0 ( 0 )" 16.76 "0.6" 0.25 11.7 0 +50 100 2 0.19 "0.74 ( 0.06 )" "19.45 ( 0.66 )" "0.04 ( 0.02 )" 24.41 "0.74" 0.74 19.4 0.04 +100 100 1 0.2 "0.38 ( 0.01 )" "19.2 ( 1.02 )" "0 ( 0 )" 24.2 "0.71" 0.38 19.2 0 +500 100 0.2 0.23 "0.27 ( 0 )" "16.28 ( 0.78 )" "0 ( 0 )" 21.28 "0.67" 0.27 16.2 0 +1000 100 0.1 0.23 "0.26 ( 0 )" "17.05 ( 0.76 )" "0 ( 0 )" 22.05 "0.69" 0.26 17 0 +50 500 10 0.13 "1.65 ( 0.13 )" "30.38 ( 1.24 )" "0.58 ( 0.08 )" 34.8 "0.83" 1.65 30.3 0.58 +100 500 5 0.15 "0.5 ( 0.02 )" "32.18 ( 1.44 )" "0 ( 0 )" 37.18 "0.81" 0.5 32.1 0 +500 500 1 0.16 "0.28 ( 0 )" "29.79 ( 1.73 )" "0 ( 0 )" 34.79 "0.78" 0.28 29.7 0 +1000 500 0.5 0.18 "0.26 ( 0 )" "27.21 ( 1.58 )" "0 ( 0 )" 32.21 "0.77" 0.26 27.2 0 +50 1000 20 0.1 "2.5 ( 0.22 )" "36.6 ( 2.03 )" "1.12 ( 0.09 )" 40.48 "0.86" 2.5 36.6 1.12 +100 1000 10 0.13 "0.56 ( 0.02 )" "40.61 ( 1.71 )" "0 ( 0 )" 45.61 "0.85" 0.56 40.6 0 +500 1000 2 0.14 "0.27 ( 0 )" "35.98 ( 2.2 )" "0 ( 0 )" 40.98 "0.8" 0.27 35.9 0 +1000 1000 1 0.15 "0.27 ( 0 )" "34.65 ( 2.02 )" "0 ( 0 )" 39.65 "0.79" 0.27 34.6 0 diff --git a/simulations/results_summary/sim_ind_lasso.txt b/simulations/results_summary/sim_ind_lasso.txt new file mode 100644 index 0000000..5321933 --- /dev/null +++ b/simulations/results_summary/sim_ind_lasso.txt @@ -0,0 +1,17 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 1 0.37 "0.54 ( 0.03 )" "8.36 ( 0.45 )" "0.02 ( 0.01 )" 13.34 "0.51" 0.54 8.36 0.02 +100 50 0.5 0.51 "0.36 ( 0.01 )" "5.5 ( 0.42 )" "0 ( 0 )" 10.5 "0.37" 0.36 5.5 0 +500 50 0.1 0.79 "0.28 ( 0 )" "2.33 ( 0.14 )" "0 ( 0 )" 7.33 "0.15" 0.28 2.33 0 +1000 50 0.05 0.86 "0.26 ( 0 )" "1.82 ( 0.13 )" "0 ( 0 )" 6.82 "0.1" 0.26 1.82 0 +50 100 2 0.32 "0.66 ( 0.04 )" "11.1 ( 0.38 )" "0.08 ( 0.03 )" 16.02 "0.61" 0.66 11.1 0.08 +100 100 1 0.46 "0.41 ( 0.01 )" "7.23 ( 0.4 )" "0 ( 0 )" 12.23 "0.46" 0.41 7.23 0 +500 100 0.2 0.71 "0.29 ( 0 )" "3.26 ( 0.25 )" "0 ( 0 )" 8.26 "0.22" 0.29 3.26 0 +1000 100 0.1 0.82 "0.27 ( 0 )" "2.25 ( 0.15 )" "0 ( 0 )" 7.25 "0.15" 0.27 2.25 0 +50 500 10 0.19 "1.41 ( 0.11 )" "19.89 ( 0.38 )" "0.64 ( 0.08 )" 24.25 "0.77" 1.41 19.8 0.64 +100 500 5 0.3 "0.48 ( 0.02 )" "14.71 ( 0.7 )" "0 ( 0 )" 19.71 "0.66" 0.48 14.7 0 +500 500 1 0.61 "0.28 ( 0 )" "4.82 ( 0.34 )" "0 ( 0 )" 9.82 "0.32" 0.28 4.82 0 +1000 500 0.5 0.72 "0.27 ( 0 )" "3.35 ( 0.32 )" "0 ( 0 )" 8.35 "0.21" 0.27 3.35 0 +50 1000 20 0.14 "2.24 ( 0.19 )" "23.95 ( 0.37 )" "1.19 ( 0.09 )" 27.76 "0.82" 2.24 23.9 1.19 +100 1000 10 0.25 "0.53 ( 0.02 )" "18.53 ( 0.59 )" "0 ( 0 )" 23.53 "0.73" 0.53 18.5 0 +500 1000 2 0.52 "0.29 ( 0 )" "6.51 ( 0.45 )" "0 ( 0 )" 11.51 "0.4" 0.29 6.51 0 +1000 1000 1 0.64 "0.27 ( 0 )" "4.39 ( 0.56 )" "0 ( 0 )" 9.39 "0.26" 0.27 4.39 0 diff --git a/simulations/results_summary/sim_ind_lasso_NULL.txt b/simulations/results_summary/sim_ind_lasso_NULL.txt new file mode 100644 index 0000000..e738b03 --- /dev/null +++ b/simulations/results_summary/sim_ind_lasso_NULL.txt @@ -0,0 +1,17 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "MSE_mean" "FP_mean" "FN_mean" +50 50 1 0.4 "0.59 ( 0.05 )" "7.55 ( 0.46 )" "0.05 ( 0.03 )" 12.5 0.59 7.55 0.05 +100 50 0.5 0.54 "0.37 ( 0.01 )" "5.08 ( 0.44 )" "0 ( 0 )" 10.08 0.37 5.08 0 +500 50 0.1 0.84 "0.28 ( 0 )" "2.01 ( 0.11 )" "0 ( 0 )" 7.01 0.28 2.01 0 +1000 50 0.05 0.89 "0.27 ( 0 )" "1.64 ( 0.12 )" "0 ( 0 )" 6.64 0.27 1.64 0 +50 100 2 0.37 "0.79 ( 0.05 )" "8.81 ( 0.45 )" "0.21 ( 0.05 )" 13.6 0.79 8.81 0.21 +100 100 1 0.49 "0.42 ( 0.01 )" "6.42 ( 0.37 )" "0 ( 0 )" 11.42 0.42 6.42 0 +500 100 0.2 0.76 "0.29 ( 0 )" "2.71 ( 0.2 )" "0 ( 0 )" 7.71 0.29 2.71 0 +1000 100 0.1 0.86 "0.28 ( 0 )" "1.87 ( 0.13 )" "0 ( 0 )" 6.87 0.28 1.87 0 +50 500 10 0.26 "2.06 ( 0.16 )" "9.9 ( 0.55 )" "1.43 ( 0.15 )" 13.47 2.06 9.9 1.43 +100 500 5 0.35 "0.51 ( 0.02 )" "11.57 ( 0.77 )" "0 ( 0 )" 16.57 0.51 11.5 0 +500 500 1 0.7 "0.29 ( 0 )" "3.51 ( 0.26 )" "0 ( 0 )" 8.51 0.29 3.51 0 +1000 500 0.5 0.78 "0.27 ( 0 )" "2.69 ( 0.27 )" "0 ( 0 )" 7.69 0.27 2.69 0 +50 1000 20 0.24 "3.07 ( 0.23 )" "8.39 ( 0.55 )" "2.25 ( 0.16 )" 11.14 3.07 8.39 2.25 +100 1000 10 0.34 "0.61 ( 0.04 )" "12.58 ( 0.67 )" "0.01 ( 0.01 )" 17.57 0.61 12.5 0.01 +500 1000 2 0.61 "0.29 ( 0 )" "4.79 ( 0.34 )" "0 ( 0 )" 9.79 0.29 4.79 0 +1000 1000 1 0.74 "0.27 ( 0 )" "3.05 ( 0.37 )" "0 ( 0 )" 8.05 0.27 3.05 0 diff --git a/simulations/results_summary/sim_ind_rf.txt b/simulations/results_summary/sim_ind_rf.txt new file mode 100644 index 0000000..a82ed1d --- /dev/null +++ b/simulations/results_summary/sim_ind_rf.txt @@ -0,0 +1,17 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "OOB" "num_select" "FDR" "Index" "MSE_mean" "FP_mean" "FN_mean" "OOB_mean" +50 50 1 0 "1.31 ( 0.06 )" "1 ( 0 )" "6 ( 0 )" "2.09 ( 0.02 )" 0 "NaN" 1 1.31 1 6 2.09 +100 50 0.5 0.18 "0.85 ( 0.02 )" "1.85 ( 0.11 )" "4.11 ( 0.1 )" "1.79 ( 0.01 )" 3.74 "0.48" 2 0.85 1.85 4.11 1.79 +500 50 0.1 0.8 "0.47 ( 0.01 )" "0.3 ( 0.05 )" "1.61 ( 0.08 )" "1.31 ( 0 )" 4.69 "0.05" 3 0.47 0.3 1.61 1.31 +1000 50 0.05 0.88 "0.35 ( 0 )" "0.07 ( 0.03 )" "0.78 ( 0.07 )" "1.17 ( 0 )" 5.29 "0.01" 4 0.35 0.07 0.78 1.17 +50 100 2 0 "1.32 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.23 ( 0.02 )" 0 "NaN" 5 1.32 1 6 2.23 +100 100 1 0.08 "0.91 ( 0.03 )" "4.33 ( 0.22 )" "4.45 ( 0.09 )" "2.02 ( 0.01 )" 5.88 "0.72" 6 0.91 4.33 4.45 2.02 +500 100 0.2 0.6 "0.59 ( 0.01 )" "1.91 ( 0.15 )" "1.41 ( 0.07 )" "1.54 ( 0 )" 6.5 "0.27" 7 0.59 1.91 1.41 1.54 +1000 100 0.1 0.81 "0.47 ( 0 )" "0.71 ( 0.09 )" "0.53 ( 0.06 )" "1.39 ( 0 )" 6.18 "0.1" 8 0.47 0.71 0.53 1.39 +50 500 10 0 "1.33 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.48 ( 0.03 )" 0 "NaN" 9 1.33 1 6 2.48 +100 500 5 0.02 "1.07 ( 0.03 )" "23.8 ( 0.52 )" "4.26 ( 0.1 )" "2.43 ( 0.02 )" 25.54 "0.93" 10 1.07 23.8 4.26 2.43 +500 500 1 0.14 "0.84 ( 0.01 )" "19.92 ( 0.41 )" "1.71 ( 0.08 )" "2.14 ( 0.01 )" 24.21 "0.82" 11 0.84 19.9 1.71 2.14 +1000 500 0.5 0.19 "0.78 ( 0.01 )" "18.73 ( 0.42 )" "0.84 ( 0.06 )" "2.06 ( 0 )" 23.89 "0.78" 12 0.78 18.7 0.84 2.06 +50 1000 20 0 "1.31 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.48 ( 0.03 )" 0 "NaN" 13 1.31 1 6 2.48 +100 1000 10 0.01 "1.06 ( 0.03 )" "48.48 ( 0.63 )" "4.33 ( 0.1 )" "2.43 ( 0.02 )" 50.15 "0.97" 14 1.06 48.4 4.33 2.43 +500 1000 2 0.06 "0.89 ( 0.01 )" "44.77 ( 0.71 )" "1.81 ( 0.1 )" "2.3 ( 0.01 )" 48.96 "0.91" 15 0.89 44.7 1.81 2.3 +1000 1000 1 0.09 "0.85 ( 0.01 )" "41.77 ( 0.68 )" "0.99 ( 0.07 )" "2.25 ( 0.01 )" 46.78 "0.89" 16 0.85 41.7 0.99 2.25 diff --git a/simulations/results_summary/sim_ind_rf_jnt.txt b/simulations/results_summary/sim_ind_rf_jnt.txt new file mode 100644 index 0000000..e99e49b --- /dev/null +++ b/simulations/results_summary/sim_ind_rf_jnt.txt @@ -0,0 +1,17 @@ +N P Ratio Stab MSE FP FN OOB num_select Index MSE_mean FP_mean FN_mean OOB_mean +50 50 1 0.02 4.3 ( 0.2 ) 2.41 ( 0.21 ) 5.22 ( 0.09 ) 2.08 ( 0.02 ) 3.05 1 4.3 2.41 5.22 2.08 +100 50 0.5 0.18 3.22 ( 0.11 ) 2.63 ( 0.21 ) 3.84 ( 0.11 ) 1.78 ( 0.01 ) 4.77 2 3.22 2.63 3.84 1.78 +500 50 0.1 0.49 1.94 ( 0.03 ) 3.08 ( 0.27 ) 1.07 ( 0.08 ) 1.31 ( 0 ) 8.01 3 1.94 3.08 1.07 1.31 +1000 50 0.05 0.57 1.53 ( 0.01 ) 3.26 ( 0.26 ) 0.2 ( 0.04 ) 1.17 ( 0 ) 9.06 4 1.53 3.26 0.2 1.17 +50 100 2 0.01 4.04 ( 0.19 ) 5.04 ( 0.36 ) 5.31 ( 0.08 ) 2.23 ( 0.02 ) 5.71 5 4.04 5.04 5.31 2.23 +100 100 1 0.1 3.38 ( 0.11 ) 4.66 ( 0.29 ) 4.09 ( 0.1 ) 2.02 ( 0.01 ) 6.57 6 3.38 4.66 4.09 2.02 +500 100 0.2 0.34 2.65 ( 0.03 ) 6.53 ( 0.38 ) 1.08 ( 0.07 ) 1.54 ( 0 ) 11.45 7 2.65 6.53 1.08 1.54 +1000 100 0.1 0.4 2.31 ( 0.02 ) 6.77 ( 0.39 ) 0.27 ( 0.05 ) 1.39 ( 0 ) 12.5 8 2.31 6.77 0.27 1.39 +50 500 10 0.03 4.02 ( 0.2 ) 26.76 ( 0.75 ) 4.84 ( 0.09 ) 2.47 ( 0.03 ) 27.92 9 4.02 26.7 4.84 2.47 +100 500 5 0.02 3.9 ( 0.13 ) 26.32 ( 0.91 ) 4.5 ( 0.08 ) 2.42 ( 0.02 ) 27.82 10 3.9 26.3 4.5 2.42 +500 500 1 0.11 3.68 ( 0.05 ) 28.84 ( 1 ) 1.5 ( 0.07 ) 2.14 ( 0.01 ) 33.34 11 3.68 28.8 1.5 2.14 +1000 500 0.5 0.12 3.69 ( 0.03 ) 34.08 ( 1.34 ) 0.49 ( 0.06 ) 2.06 ( 0 ) 39.59 12 3.69 34 0.49 2.06 +50 1000 20 0.04 4.04 ( 0.2 ) 48.82 ( 1.04 ) 5.29 ( 0.07 ) 2.46 ( 0.03 ) 49.53 13 4.04 48.8 5.29 2.46 +100 1000 10 0.02 3.8 ( 0.12 ) 52.42 ( 1.4 ) 4.72 ( 0.08 ) 2.42 ( 0.02 ) 53.7 14 3.8 52.4 4.72 2.42 +500 1000 2 0.06 3.93 ( 0.06 ) 57.58 ( 1.72 ) 1.57 ( 0.08 ) 2.3 ( 0.01 ) 62.01 15 3.93 57.5 1.57 2.3 +1000 1000 1 0.07 3.93 ( 0.04 ) 62 ( 1.83 ) 0.68 ( 0.06 ) 2.25 ( 0 ) 67.32 16 3.93 NA 0.68 2.25 \ No newline at end of file diff --git a/simulations/results_summary/sim_toe_compLasso.txt b/simulations/results_summary/sim_toe_compLasso.txt new file mode 100644 index 0000000..8394de1 --- /dev/null +++ b/simulations/results_summary/sim_toe_compLasso.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 "0.1" 1 0.56 "0.88 ( 0.05 )" "3.68 ( 0.29 )" "0.06 ( 0.03 )" 9.62 "0.33" 0.88 3.68 0.06 +100 50 "0.1" 0.5 0.77 "0.87 ( 0.05 )" "1.51 ( 0.35 )" "0 ( 0 )" 7.51 "0.12" 0.87 1.51 0 +500 50 "0.1" 0.1 0.88 "0.99 ( 0.05 )" "0.73 ( 0.19 )" "0 ( 0 )" 6.73 "0.07" 0.99 0.73 0 +1000 50 "0.1" 0.05 0.9 "1.09 ( 0.04 )" "0.55 ( 0.17 )" "0 ( 0 )" 6.55 "0.05" 1.09 0.55 0 +50 100 "0.1" 2 0.53 "1.12 ( 0.1 )" "4.24 ( 0.3 )" "0.23 ( 0.06 )" 10.01 "0.37" 1.12 4.24 0.23 +100 100 "0.1" 1 0.79 "0.85 ( 0.04 )" "1.51 ( 0.34 )" "0 ( 0 )" 7.51 "0.13" 0.85 1.51 0 +500 100 "0.1" 0.2 0.95 "1.13 ( 0.04 )" "0.29 ( 0.09 )" "0 ( 0 )" 6.29 "0.03" 1.13 0.29 0 +1000 100 "0.1" 0.1 0.93 "1.03 ( 0.04 )" "0.42 ( 0.12 )" "0 ( 0 )" 6.42 "0.05" 1.03 0.42 0 +50 500 "0.1" 10 0.36 "2.54 ( 0.18 )" "5.13 ( 0.35 )" "1.78 ( 0.12 )" 9.35 "0.48" 2.54 5.13 1.78 +100 500 "0.1" 5 0.71 "0.98 ( 0.04 )" "2.4 ( 0.35 )" "0 ( 0 )" 8.4 "0.21" 0.98 2.4 0 +500 500 "0.1" 1 0.96 "1.1 ( 0.04 )" "0.25 ( 0.08 )" "0 ( 0 )" 6.25 "0.03" 1.1 0.25 0 +1000 500 "0.1" 0.5 0.96 "1.18 ( 0.04 )" "0.24 ( 0.08 )" "0 ( 0 )" 6.24 "0.03" 1.18 0.24 0 +50 1000 "0.1" 20 0.29 "3.37 ( 0.2 )" "4.59 ( 0.36 )" "2.63 ( 0.15 )" 7.96 "0.5" 3.37 4.59 2.63 +100 1000 "0.1" 10 0.61 "1.03 ( 0.04 )" "3.82 ( 0.46 )" "0.01 ( 0.01 )" 9.81 "0.29" 1.03 3.82 0.01 +500 1000 "0.1" 2 0.96 "1.1 ( 0.03 )" "0.24 ( 0.1 )" "0 ( 0 )" 6.24 "0.03" 1.1 0.24 0 +1000 1000 "0.1" 1 0.97 "1.16 ( 0.03 )" "0.16 ( 0.06 )" "0 ( 0 )" 6.16 "0.02" 1.16 0.16 0 +50 50 "0.3" 1 0.5 "0.76 ( 0.05 )" "4.6 ( 0.27 )" "0.07 ( 0.03 )" 10.53 "0.4" 0.76 4.6 0.07 +100 50 "0.3" 0.5 0.75 "0.7 ( 0.04 )" "1.65 ( 0.28 )" "0 ( 0 )" 7.65 "0.16" 0.7 1.65 0 +500 50 "0.3" 0.1 0.93 "0.92 ( 0.04 )" "0.39 ( 0.12 )" "0 ( 0 )" 6.39 "0.04" 0.92 0.39 0 +1000 50 "0.3" 0.05 0.93 "0.92 ( 0.03 )" "0.38 ( 0.1 )" "0 ( 0 )" 6.38 "0.04" 0.92 0.38 0 +50 100 "0.3" 2 0.43 "1.12 ( 0.07 )" "5.19 ( 0.3 )" "0.63 ( 0.09 )" 10.56 "0.44" 1.12 5.19 0.63 +100 100 "0.3" 1 0.7 "0.73 ( 0.04 )" "2.38 ( 0.32 )" "0 ( 0 )" 8.38 "0.22" 0.73 2.38 0 +500 100 "0.3" 0.2 0.87 "0.82 ( 0.04 )" "0.84 ( 0.2 )" "0 ( 0 )" 6.84 "0.08" 0.82 0.84 0 +1000 100 "0.3" 0.1 0.93 "0.87 ( 0.04 )" "0.41 ( 0.08 )" "0 ( 0 )" 6.41 "0.05" 0.87 0.41 0 +50 500 "0.3" 10 0.29 "2.5 ( 0.14 )" "5.62 ( 0.34 )" "2.39 ( 0.12 )" 9.23 "0.55" 2.5 5.62 2.39 +100 500 "0.3" 5 0.52 "0.84 ( 0.04 )" "5.23 ( 0.57 )" "0.06 ( 0.02 )" 11.17 "0.37" 0.84 5.23 0.06 +500 500 "0.3" 1 0.96 "0.93 ( 0.03 )" "0.25 ( 0.08 )" "0 ( 0 )" 6.25 "0.03" 0.93 0.25 0 +1000 500 "0.3" 0.5 0.94 "0.9 ( 0.03 )" "0.38 ( 0.1 )" "0 ( 0 )" 6.38 "0.04" 0.9 0.38 0 +50 1000 "0.3" 20 0.28 "2.99 ( 0.17 )" "4.75 ( 0.36 )" "3 ( 0.13 )" 7.75 "0.53" 2.99 4.75 0 +100 1000 "0.3" 10 0.46 "0.93 ( 0.04 )" "6.63 ( 0.6 )" "0.1 ( 0.03 )" 12.53 "0.43" 0.93 6.63 0.1 +500 1000 "0.3" 2 0.96 "0.89 ( 0.03 )" "0.28 ( 0.09 )" "0 ( 0 )" 6.28 "0.03" 0.89 0.28 0 +1000 1000 "0.3" 1 0.95 "0.93 ( 0.03 )" "0.29 ( 0.09 )" "0 ( 0 )" 6.29 "0.03" 0.93 0.29 0 +50 50 "0.5" 1 0.44 "0.72 ( 0.05 )" "5.25 ( 0.31 )" "0.24 ( 0.06 )" 11.01 "0.43" 0.72 5.25 0.24 +100 50 "0.5" 0.5 0.62 "0.55 ( 0.02 )" "2.98 ( 0.3 )" "0 ( 0 )" 8.98 "0.27" 0.55 2.98 0 +500 50 "0.5" 0.1 0.9 "0.62 ( 0.02 )" "0.57 ( 0.13 )" "0 ( 0 )" 6.57 "0.06" 0.62 0.57 0 +1000 50 "0.5" 0.05 0.93 "0.67 ( 0.02 )" "0.39 ( 0.12 )" "0 ( 0 )" 6.39 "0.04" 0.67 0.39 0 +50 100 "0.5" 2 0.37 "1.15 ( 0.07 )" "5.35 ( 0.36 )" "1.25 ( 0.11 )" 10.1 "0.45" 1.15 5.35 1.25 +100 100 "0.5" 1 0.59 "0.68 ( 0.03 )" "3.57 ( 0.36 )" "0.06 ( 0.02 )" 9.51 "0.31" 0.68 3.57 0.06 +500 100 "0.5" 0.2 0.94 "0.68 ( 0.02 )" "0.34 ( 0.1 )" "0 ( 0 )" 6.34 "0.04" 0.68 0.34 0 +1000 100 "0.5" 0.1 0.95 "0.71 ( 0.02 )" "0.27 ( 0.09 )" "0 ( 0 )" 6.27 "0.03" 0.71 0.27 0 +50 500 "0.5" 10 0.29 "2.28 ( 0.14 )" "5.5 ( 0.38 )" "2.81 ( 0.1 )" 8.69 "0.55" 2.28 5.5 2.81 +100 500 "0.5" 5 0.38 "0.82 ( 0.04 )" "8.32 ( 0.64 )" "0.38 ( 0.07 )" 13.94 "0.51" 0.82 8.32 0.38 +500 500 "0.5" 1 0.93 "0.67 ( 0.02 )" "0.45 ( 0.12 )" "0 ( 0 )" 6.45 "0.05" 0.67 0.45 0 +1000 500 "0.5" 0.5 0.94 "0.69 ( 0.02 )" "0.35 ( 0.1 )" "0 ( 0 )" 6.35 "0.04" 0.69 0.35 0 +50 1000 "0.5" 20 0.23 "2.44 ( 0.13 )" "5.82 ( 0.36 )" "3.37 ( 0.1 )" 8.45 "0.63" 2.44 5.82 3.37 +100 1000 "0.5" 10 0.3 "0.96 ( 0.05 )" "10.94 ( 0.72 )" "0.61 ( 0.1 )" 16.33 "0.59" 0.96 10.9 0.61 +500 1000 "0.5" 2 0.96 "0.7 ( 0.02 )" "0.22 ( 0.06 )" "0 ( 0 )" 6.22 "0.03" 0.7 0.22 0 +1000 1000 "0.5" 1 0.95 "0.71 ( 0.02 )" "0.33 ( 0.13 )" "0 ( 0 )" 6.33 "0.03" 0.71 0.33 0 +50 50 "0.7" 1 0.36 "0.76 ( 0.05 )" "5.83 ( 0.31 )" "0.81 ( 0.1 )" 11.02 "0.48" 0.76 5.83 0.81 +100 50 "0.7" 0.5 0.48 "0.43 ( 0.02 )" "4.89 ( 0.38 )" "0.08 ( 0.03 )" 10.81 "0.4" 0.43 4.89 0.08 +500 50 "0.7" 0.1 0.81 "0.44 ( 0.01 )" "1.23 ( 0.22 )" "0 ( 0 )" 7.23 "0.12" 0.44 1.23 0 +1000 50 "0.7" 0.05 0.88 "0.45 ( 0.01 )" "0.74 ( 0.13 )" "0 ( 0 )" 6.74 "0.09" 0.45 0.74 0 +50 100 "0.7" 2 0.31 "0.99 ( 0.06 )" "5.89 ( 0.36 )" "1.88 ( 0.11 )" 10.01 "0.53" 0.99 5.89 1.88 +100 100 "0.7" 1 0.41 "0.48 ( 0.02 )" "6.91 ( 0.55 )" "0.22 ( 0.05 )" 12.69 "0.47" 0.48 6.91 0.22 +500 100 "0.7" 0.2 0.82 "0.45 ( 0.01 )" "1.24 ( 0.19 )" "0 ( 0 )" 7.24 "0.13" 0.45 1.24 0 +1000 100 "0.7" 0.1 0.92 "0.48 ( 0.01 )" "0.5 ( 0.14 )" "0 ( 0 )" 6.5 "0.05" 0.48 0.5 0 +50 500 "0.7" 10 0.27 "1.81 ( 0.09 )" "5.27 ( 0.39 )" "3.43 ( 0.09 )" 7.84 "0.56" 1.81 5.27 3.43 +100 500 "0.7" 5 0.27 "0.85 ( 0.05 )" "9.56 ( 0.73 )" "1.42 ( 0.12 )" 14.14 "0.59" 0.85 9.56 1.42 +500 500 "0.7" 1 0.74 "0.46 ( 0.01 )" "2.11 ( 0.26 )" "0 ( 0 )" 8.11 "0.2" 0.46 2.11 0 +1000 500 "0.7" 0.5 0.87 "0.46 ( 0.01 )" "0.93 ( 0.16 )" "0 ( 0 )" 6.93 "0.1" 0.46 0.93 0 +50 1000 "0.7" 20 0.21 "1.81 ( 0.08 )" "6.05 ( 0.39 )" "3.58 ( 0.1 )" 8.47 "0.64" 1.81 6.05 3.58 +100 1000 "0.7" 10 0.27 "1.1 ( 0.06 )" "8.36 ( 0.68 )" "2.1 ( 0.09 )" 12.26 "0.58" 1.1 8.36 2.1 +500 1000 "0.7" 2 0.69 "0.47 ( 0.01 )" "2.72 ( 0.33 )" "0 ( 0 )" 8.72 "0.24" 0.47 2.72 0 +1000 1000 "0.7" 1 0.91 "0.5 ( 0.01 )" "0.57 ( 0.16 )" "0 ( 0 )" 6.57 "0.06" 0.5 0.57 0 +50 50 "0.9" 1 0.32 "0.54 ( 0.03 )" "4.91 ( 0.32 )" "1.96 ( 0.11 )" 8.95 "0.49" 0.54 4.91 1.96 +100 50 "0.9" 0.5 0.35 "0.41 ( 0.02 )" "5.64 ( 0.41 )" "0.96 ( 0.11 )" 10.68 "0.46" 0.41 5.64 0.96 +500 50 "0.9" 0.1 0.67 "0.31 ( 0.01 )" "2.66 ( 0.22 )" "0.01 ( 0.01 )" 8.65 "0.27" 0.31 2.66 0.01 +1000 50 "0.9" 0.05 0.71 "0.3 ( 0 )" "2.18 ( 0.19 )" "0 ( 0 )" 8.18 "0.23" 0.3 2.18 0 +50 100 "0.9" 2 0.31 "0.66 ( 0.04 )" "4.9 ( 0.33 )" "2.83 ( 0.09 )" 8.07 "0.54" 0.66 4.9 2.83 +100 100 "0.9" 1 0.32 "0.47 ( 0.02 )" "6.56 ( 0.48 )" "1.45 ( 0.11 )" 11.11 "0.52" 0.47 6.56 1.45 +500 100 "0.9" 0.2 0.59 "0.32 ( 0.01 )" "4.04 ( 0.34 )" "0.01 ( 0.01 )" 10.03 "0.35" 0.32 4.04 0.01 +1000 100 "0.9" 0.1 0.67 "0.3 ( 0 )" "2.85 ( 0.24 )" "0 ( 0 )" 8.85 "0.28" 0.3 2.85 0 +50 500 "0.9" 10 0.23 "0.89 ( 0.05 )" "5.88 ( 0.44 )" "3.74 ( 0.07 )" 8.14 "0.62" 0.89 5.88 3.74 +100 500 "0.9" 5 0.24 "0.6 ( 0.02 )" "8.59 ( 0.65 )" "2.63 ( 0.08 )" 11.96 "0.64" 0.6 8.59 2.63 +500 500 "0.9" 1 0.41 "0.34 ( 0.01 )" "8.17 ( 0.48 )" "0.17 ( 0.04 )" 14 "0.54" 0.34 8.17 0.17 +1000 500 "0.9" 0.5 0.58 "0.32 ( 0 )" "4.24 ( 0.3 )" "0.01 ( 0.01 )" 10.23 "0.37" 0.32 4.24 0.01 +50 1000 "0.9" 20 0.19 "1.04 ( 0.06 )" "5.24 ( 0.46 )" "4.23 ( 0.08 )" 7.01 "0.6" 1.04 5.24 4.23 +100 1000 "0.9" 10 0.22 "0.67 ( 0.02 )" "9.03 ( 0.73 )" "3.02 ( 0.07 )" 12.01 "0.66" 0.67 9.03 3.02 +500 1000 "0.9" 2 0.34 "0.35 ( 0.01 )" "10.52 ( 0.68 )" "0.32 ( 0.05 )" 16.2 "0.59" 0.35 10.5 0.32 +1000 1000 "0.9" 1 0.57 "0.33 ( 0 )" "4.48 ( 0.3 )" "0.01 ( 0.01 )" 10.47 "0.39" 0.33 4.48 0.01 diff --git a/simulations/results_summary/sim_toe_elnet.txt b/simulations/results_summary/sim_toe_elnet.txt new file mode 100644 index 0000000..0fa8cef --- /dev/null +++ b/simulations/results_summary/sim_toe_elnet.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 "0.1" 1 0.21 "0.6 ( 0.03 )" "14.72 ( 0.57 )" "0.01 ( 0.01 )" 19.71 "0.67" 0.6 14.7 0.01 +100 50 "0.1" 0.5 0.23 "0.34 ( 0.01 )" "13.7 ( 0.66 )" "0 ( 0 )" 18.7 "0.64" 0.34 13.7 0 +500 50 "0.1" 0.1 0.23 "0.26 ( 0 )" "13.59 ( 0.55 )" "0 ( 0 )" 18.59 "0.65" 0.26 13.5 0 +1000 50 "0.1" 0.05 0.25 "0.26 ( 0 )" "12.64 ( 0.54 )" "0 ( 0 )" 17.64 "0.63" 0.26 12.6 0 +50 100 "0.1" 2 0.2 "0.69 ( 0.05 )" "19.33 ( 0.67 )" "0 ( 0 )" 24.33 "0.73" 0.69 19.3 0 +100 100 "0.1" 1 0.22 "0.38 ( 0.01 )" "17.77 ( 0.8 )" "0 ( 0 )" 22.77 "0.7" 0.38 17.7 0 +500 100 "0.1" 0.2 0.21 "0.26 ( 0 )" "18.57 ( 0.83 )" "0 ( 0 )" 23.57 "0.71" 0.26 18.5 0 +1000 100 "0.1" 0.1 0.22 "0.26 ( 0 )" "17.23 ( 0.72 )" "0 ( 0 )" 22.23 "0.7" 0.26 17.2 0 +50 500 "0.1" 10 0.13 "1.74 ( 0.11 )" "29.67 ( 1.23 )" "0.63 ( 0.07 )" 34.04 "0.83" 1.74 29.6 0.63 +100 500 "0.1" 5 0.16 "0.51 ( 0.02 )" "30.41 ( 1.35 )" "0 ( 0 )" 35.41 "0.81" 0.51 30.4 0 +500 500 "0.1" 1 0.16 "0.27 ( 0 )" "29.38 ( 1.53 )" "0 ( 0 )" 34.38 "0.79" 0.27 29.3 0 +1000 500 "0.1" 0.5 0.18 "0.27 ( 0 )" "26.73 ( 1.56 )" "0 ( 0 )" 31.73 "0.77" 0.27 26.7 0 +50 1000 "0.1" 20 0.09 "2.5 ( 0.16 )" "39.01 ( 2.7 )" "1.34 ( 0.1 )" 42.67 "0.87" 2.5 39 1.34 +100 1000 "0.1" 10 0.13 "0.57 ( 0.03 )" "39.81 ( 1.68 )" "0 ( 0 )" 44.81 "0.85" 0.57 39.8 0 +500 1000 "0.1" 2 0.14 "0.27 ( 0 )" "37.88 ( 2.19 )" "0 ( 0 )" 42.88 "0.82" 0.27 37.8 0 +1000 1000 "0.1" 1 0.16 "0.26 ( 0 )" "31.4 ( 1.69 )" "0 ( 0 )" 36.4 "0.8" 0.26 31.4 0 +50 50 "0.3" 1 0.21 "0.53 ( 0.03 )" "14.65 ( 0.58 )" "0.03 ( 0.02 )" 19.62 "0.67" 0.53 14.6 0.03 +100 50 "0.3" 0.5 0.2 "0.34 ( 0.01 )" "14.91 ( 0.58 )" "0 ( 0 )" 19.91 "0.67" 0.34 14.9 0 +500 50 "0.3" 0.1 0.23 "0.27 ( 0 )" "13.94 ( 0.57 )" "0 ( 0 )" 18.94 "0.65" 0.27 13.9 0 +1000 50 "0.3" 0.05 0.27 "0.26 ( 0 )" "11.94 ( 0.43 )" "0 ( 0 )" 16.94 "0.62" 0.26 11.9 0 +50 100 "0.3" 2 0.19 "0.72 ( 0.04 )" "19.67 ( 0.66 )" "0.08 ( 0.03 )" 24.59 "0.74" 0.72 19.6 0.08 +100 100 "0.3" 1 0.19 "0.38 ( 0.01 )" "20.48 ( 0.85 )" "0 ( 0 )" 25.48 "0.74" 0.38 20.4 0 +500 100 "0.3" 0.2 0.2 "0.26 ( 0 )" "19.3 ( 0.93 )" "0 ( 0 )" 24.3 "0.72" 0.26 19.3 0 +1000 100 "0.3" 0.1 0.2 "0.26 ( 0 )" "19 ( 0.86 )" "0 ( 0 )" 24 "0.71" 0.26 19 0 +50 500 "0.3" 10 0.1 "1.94 ( 0.12 )" "32.52 ( 1.94 )" "1.33 ( 0.1 )" 36.19 "0.85" 1.94 32.5 1.33 +100 500 "0.3" 5 0.14 "0.51 ( 0.02 )" "34.04 ( 1.37 )" "0.01 ( 0.01 )" 39.03 "0.83" 0.51 34 0.01 +500 500 "0.3" 1 0.16 "0.28 ( 0 )" "30.92 ( 1.44 )" "0 ( 0 )" 35.92 "0.8" 0.28 30.9 0 +1000 500 "0.3" 0.5 0.16 "0.26 ( 0 )" "30.61 ( 1.55 )" "0 ( 0 )" 35.61 "0.79" 0.26 30.6 0 +50 1000 "0.3" 20 0.08 "2.46 ( 0.17 )" "35.99 ( 1.99 )" "1.83 ( 0.1 )" 39.16 "0.88" 2.46 35.9 1.83 +100 1000 "0.3" 10 0.12 "0.6 ( 0.03 )" "43.92 ( 1.49 )" "0.01 ( 0.01 )" 48.91 "0.86" 0.6 43.9 0.01 +500 1000 "0.3" 2 0.13 "0.28 ( 0 )" "38.46 ( 2.16 )" "0 ( 0 )" 43.46 "0.84" 0.28 38.4 0 +1000 1000 "0.3" 1 0.13 "0.27 ( 0 )" "38.29 ( 2.09 )" "0 ( 0 )" 43.29 "0.83" 0.27 38.2 0 +50 50 "0.5" 1 0.2 "0.57 ( 0.04 )" "14.64 ( 0.66 )" "0.09 ( 0.03 )" 19.55 "0.66" 0.57 14.6 0.09 +100 50 "0.5" 0.5 0.21 "0.33 ( 0.01 )" "14.76 ( 0.55 )" "0 ( 0 )" 19.76 "0.67" 0.33 14.7 0 +500 50 "0.5" 0.1 0.23 "0.26 ( 0 )" "13.76 ( 0.51 )" "0 ( 0 )" 18.76 "0.66" 0.26 13.7 0 +1000 50 "0.5" 0.05 0.23 "0.26 ( 0 )" "13.4 ( 0.49 )" "0 ( 0 )" 18.4 "0.65" 0.26 13.4 0 +50 100 "0.5" 2 0.17 "0.8 ( 0.04 )" "20.05 ( 0.68 )" "0.34 ( 0.06 )" 24.71 "0.75" 0.8 20 0.34 +100 100 "0.5" 1 0.17 "0.41 ( 0.02 )" "21.92 ( 0.83 )" "0 ( 0 )" 26.92 "0.76" 0.41 21.9 0 +500 100 "0.5" 0.2 0.2 "0.27 ( 0 )" "18.97 ( 0.78 )" "0 ( 0 )" 23.97 "0.72" 0.27 18.9 0 +1000 100 "0.5" 0.1 0.2 "0.26 ( 0 )" "19.53 ( 0.66 )" "0 ( 0 )" 24.53 "0.74" 0.26 19.5 0 +50 500 "0.5" 10 0.09 "1.86 ( 0.11 )" "29.92 ( 1.25 )" "1.88 ( 0.1 )" 33.04 "0.86" 1.86 29.9 1.88 +100 500 "0.5" 5 0.13 "0.59 ( 0.02 )" "37.33 ( 1.25 )" "0.07 ( 0.03 )" 42.26 "0.85" 0.59 37.3 0.07 +500 500 "0.5" 1 0.13 "0.28 ( 0 )" "37.1 ( 1.54 )" "0 ( 0 )" 42.1 "0.83" 0.28 37.1 0 +1000 500 "0.5" 0.5 0.13 "0.27 ( 0 )" "36.71 ( 1.5 )" "0 ( 0 )" 41.71 "0.83" 0.27 36.7 0 +50 1000 "0.5" 20 0.07 "2.33 ( 0.14 )" "35.29 ( 1.69 )" "2.53 ( 0.1 )" 37.76 "0.9" 2.33 35.2 2.53 +100 1000 "0.5" 10 0.11 "0.73 ( 0.03 )" "44.83 ( 1.58 )" "0.18 ( 0.05 )" 49.65 "0.87" 0.73 44.8 0.18 +500 1000 "0.5" 2 0.12 "0.29 ( 0 )" "42.86 ( 2.28 )" "0 ( 0 )" 47.86 "0.85" 0.29 42.8 0 +1000 1000 "0.5" 1 0.13 "0.27 ( 0 )" "41.01 ( 1.99 )" "0 ( 0 )" 46.01 "0.84" 0.27 41 0 +50 50 "0.7" 1 0.18 "0.6 ( 0.04 )" "15.25 ( 0.54 )" "0.25 ( 0.05 )" 20 "0.69" 0.6 15.2 0.25 +100 50 "0.7" 0.5 0.2 "0.35 ( 0.01 )" "15.66 ( 0.62 )" "0 ( 0 )" 20.66 "0.69" 0.35 15.6 0 +500 50 "0.7" 0.1 0.24 "0.26 ( 0 )" "13.41 ( 0.46 )" "0 ( 0 )" 18.41 "0.65" 0.26 13.4 0 +1000 50 "0.7" 0.05 0.26 "0.26 ( 0 )" "12.18 ( 0.6 )" "0 ( 0 )" 17.18 "0.61" 0.26 12.1 0 +50 100 "0.7" 2 0.15 "0.81 ( 0.04 )" "19.25 ( 0.81 )" "0.79 ( 0.09 )" 23.46 "0.75" 0.81 19.2 0.79 +100 100 "0.7" 1 0.18 "0.36 ( 0.01 )" "21.79 ( 0.78 )" "0.01 ( 0.01 )" 26.78 "0.76" 0.36 21.7 0.01 +500 100 "0.7" 0.2 0.18 "0.27 ( 0 )" "21.43 ( 0.75 )" "0 ( 0 )" 26.43 "0.75" 0.27 21.4 0 +1000 100 "0.7" 0.1 0.21 "0.26 ( 0 )" "18.91 ( 0.6 )" "0 ( 0 )" 23.91 "0.73" 0.26 18.9 0 +50 500 "0.7" 10 0.09 "1.48 ( 0.09 )" "27.19 ( 0.95 )" "2.71 ( 0.08 )" 29.48 "0.88" 1.48 27.1 2.71 +100 500 "0.7" 5 0.11 "0.6 ( 0.02 )" "37.9 ( 1.54 )" "0.51 ( 0.07 )" 42.39 "0.86" 0.6 37.9 0.51 +500 500 "0.7" 1 0.13 "0.29 ( 0 )" "38.11 ( 1.41 )" "0 ( 0 )" 43.11 "0.84" 0.29 38.1 0 +1000 500 "0.7" 0.5 0.13 "0.27 ( 0 )" "38.16 ( 1.26 )" "0 ( 0 )" 43.16 "0.85" 0.27 38.1 0 +50 1000 "0.7" 20 0.06 "1.66 ( 0.09 )" "35.91 ( 1.86 )" "3.03 ( 0.09 )" 37.88 "0.91" 1.66 35.9 3.03 +100 1000 "0.7" 10 0.09 "0.78 ( 0.04 )" "39.69 ( 1.62 )" "1.11 ( 0.1 )" 43.58 "0.88" 0.78 39.6 1.11 +500 1000 "0.7" 2 0.11 "0.3 ( 0 )" "49.45 ( 1.98 )" "0 ( 0 )" 54.45 "0.87" 0.3 49.4 0 +1000 1000 "0.7" 1 0.11 "0.27 ( 0 )" "48.15 ( 1.76 )" "0 ( 0 )" 53.15 "0.87" 0.27 48.1 0 +50 50 "0.9" 1 0.16 "0.5 ( 0.02 )" "13.26 ( 0.77 )" "1.03 ( 0.11 )" 17.23 "0.66" 0.5 13.2 1.03 +100 50 "0.9" 0.5 0.21 "0.35 ( 0.01 )" "14 ( 0.69 )" "0.27 ( 0.06 )" 18.73 "0.66" 0.35 14 0.27 +500 50 "0.9" 0.1 0.29 "0.27 ( 0 )" "11.63 ( 0.41 )" "0 ( 0 )" 16.63 "0.62" 0.27 11.6 0 +1000 50 "0.9" 0.05 0.29 "0.26 ( 0 )" "12.06 ( 0.52 )" "0 ( 0 )" 17.06 "0.62" 0.26 12 0 +50 100 "0.9" 2 0.15 "0.56 ( 0.03 )" "15.35 ( 0.8 )" "1.83 ( 0.12 )" 18.52 "0.75" 0.56 15.3 1.83 +100 100 "0.9" 1 0.18 "0.4 ( 0.02 )" "18.69 ( 0.92 )" "0.41 ( 0.07 )" 23.28 "0.73" 0.4 18.6 0.41 +500 100 "0.9" 0.2 0.23 "0.27 ( 0 )" "17.36 ( 0.62 )" "0 ( 0 )" 22.36 "0.71" 0.27 17.3 0 +1000 100 "0.9" 0.1 0.26 "0.26 ( 0 )" "16.05 ( 0.62 )" "0 ( 0 )" 21.05 "0.69" 0.26 16 0 +50 500 "0.9" 10 0.08 "0.88 ( 0.04 )" "25.11 ( 1.93 )" "3.23 ( 0.08 )" 26.88 "0.87" 0.88 25.1 3.23 +100 500 "0.9" 5 0.1 "0.53 ( 0.02 )" "27.99 ( 1.26 )" "2.15 ( 0.1 )" 30.84 "0.86" 0.53 27.9 2.15 +500 500 "0.9" 1 0.12 "0.29 ( 0 )" "41.14 ( 1.02 )" "0 ( 0 )" 46.14 "0.86" 0.29 41.1 0 +1000 500 "0.9" 0.5 0.13 "0.27 ( 0 )" "39.21 ( 0.84 )" "0 ( 0 )" 44.21 "0.86" 0.27 39.2 0 +50 1000 "0.9" 20 0.04 "0.94 ( 0.05 )" "36.59 ( 3.6 )" "3.72 ( 0.08 )" 37.87 "0.92" 0.94 36.5 3.72 +100 1000 "0.9" 10 0.09 "0.59 ( 0.02 )" "32.05 ( 1.85 )" "2.59 ( 0.06 )" 34.46 "0.88" 0.59 32 2.59 +500 1000 "0.9" 2 0.09 "0.3 ( 0 )" "57.69 ( 1.57 )" "0 ( 0 )" 62.69 "0.9" 0.3 57.6 0 +1000 1000 "0.9" 1 0.1 "0.27 ( 0 )" "52.35 ( 1.6 )" "0 ( 0 )" 57.35 "0.89" 0.27 52.3 0 diff --git a/simulations/results_summary/sim_toe_lasso.txt b/simulations/results_summary/sim_toe_lasso.txt new file mode 100644 index 0000000..58c3971 --- /dev/null +++ b/simulations/results_summary/sim_toe_lasso.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" +50 50 "0.1" 1 0.36 "0.62 ( 0.04 )" "8.59 ( 0.46 )" "0.02 ( 0.01 )" 13.57 "0.51" 0.62 8.59 0.02 +100 50 "0.1" 0.5 0.47 "0.37 ( 0.01 )" "6.3 ( 0.43 )" "0 ( 0 )" 11.3 "0.4" 0.37 6.3 0 +500 50 "0.1" 0.1 0.73 "0.28 ( 0 )" "2.88 ( 0.21 )" "0 ( 0 )" 7.88 "0.2" 0.28 2.88 0 +1000 50 "0.1" 0.05 0.89 "0.27 ( 0 )" "1.66 ( 0.11 )" "0 ( 0 )" 6.66 "0.08" 0.27 1.66 0 +50 100 "0.1" 2 0.32 "0.67 ( 0.05 )" "11.84 ( 0.4 )" "0 ( 0 )" 16.84 "0.62" 0.67 11.8 0 +100 100 "0.1" 1 0.44 "0.4 ( 0.01 )" "7.71 ( 0.56 )" "0 ( 0 )" 12.71 "0.46" 0.4 7.71 0 +500 100 "0.1" 0.2 0.7 "0.27 ( 0 )" "3.35 ( 0.22 )" "0 ( 0 )" 8.35 "0.23" 0.27 3.35 0 +1000 100 "0.1" 0.1 0.81 "0.27 ( 0 )" "2.29 ( 0.23 )" "0 ( 0 )" 7.29 "0.13" 0.27 2.29 0 +50 500 "0.1" 10 0.18 "1.61 ( 0.1 )" "20.85 ( 0.38 )" "0.69 ( 0.08 )" 25.16 "0.78" 1.61 20.8 0.69 +100 500 "0.1" 5 0.3 "0.53 ( 0.02 )" "14.69 ( 0.7 )" "0 ( 0 )" 19.69 "0.66" 0.53 14.6 0 +500 500 "0.1" 1 0.55 "0.28 ( 0 )" "5.86 ( 0.51 )" "0 ( 0 )" 10.86 "0.36" 0.28 5.86 0 +1000 500 "0.1" 0.5 0.78 "0.28 ( 0 )" "2.69 ( 0.21 )" "0 ( 0 )" 7.69 "0.17" 0.28 2.69 0 +50 1000 "0.1" 20 0.13 "2.23 ( 0.14 )" "24.37 ( 0.39 )" "1.36 ( 0.1 )" 28.01 "0.83" 2.23 24.3 1.36 +100 1000 "0.1" 10 0.25 "0.57 ( 0.03 )" "18.79 ( 0.7 )" "0 ( 0 )" 23.79 "0.73" 0.57 18.7 0 +500 1000 "0.1" 2 0.49 "0.28 ( 0 )" "7.08 ( 0.53 )" "0 ( 0 )" 12.08 "0.41" 0.28 7.08 0 +1000 1000 "0.1" 1 0.7 "0.27 ( 0 )" "3.59 ( 0.33 )" "0 ( 0 )" 8.59 "0.23" 0.27 3.59 0 +50 50 "0.3" 1 0.35 "0.57 ( 0.03 )" "8.86 ( 0.42 )" "0.05 ( 0.02 )" 13.81 "0.53" 0.57 8.86 0.05 +100 50 "0.3" 0.5 0.47 "0.36 ( 0.01 )" "6.18 ( 0.36 )" "0 ( 0 )" 11.18 "0.41" 0.36 6.18 0 +500 50 "0.3" 0.1 0.7 "0.28 ( 0 )" "3.14 ( 0.21 )" "0 ( 0 )" 8.14 "0.22" 0.28 3.14 0 +1000 50 "0.3" 0.05 0.86 "0.27 ( 0 )" "1.86 ( 0.11 )" "0 ( 0 )" 6.86 "0.11" 0.27 1.86 0 +50 100 "0.3" 2 0.31 "0.76 ( 0.04 )" "11.12 ( 0.37 )" "0.17 ( 0.04 )" 15.95 "0.62" 0.76 11.1 0.17 +100 100 "0.3" 1 0.38 "0.41 ( 0.01 )" "9.43 ( 0.53 )" "0 ( 0 )" 14.43 "0.54" 0.41 9.43 0 +500 100 "0.3" 0.2 0.63 "0.27 ( 0 )" "4.16 ( 0.27 )" "0 ( 0 )" 9.16 "0.29" 0.27 4.16 0 +1000 100 "0.3" 0.1 0.8 "0.27 ( 0 )" "2.36 ( 0.17 )" "0 ( 0 )" 7.36 "0.15" 0.27 2.36 0 +50 500 "0.3" 10 0.14 "1.78 ( 0.11 )" "21.4 ( 0.41 )" "1.39 ( 0.1 )" 25.01 "0.81" 1.78 21.4 1.39 +100 500 "0.3" 5 0.26 "0.53 ( 0.02 )" "16.81 ( 0.77 )" "0.02 ( 0.01 )" 21.79 "0.7" 0.53 16.8 0.02 +500 500 "0.3" 1 0.55 "0.29 ( 0 )" "5.89 ( 0.51 )" "0 ( 0 )" 10.89 "0.36" 0.29 5.89 0 +1000 500 "0.3" 0.5 0.69 "0.27 ( 0 )" "3.68 ( 0.32 )" "0 ( 0 )" 8.68 "0.25" 0.27 3.68 0 +50 1000 "0.3" 20 0.11 "2.21 ( 0.15 )" "25.14 ( 0.35 )" "1.87 ( 0.1 )" 28.27 "0.85" 2.21 25.1 1.87 +100 1000 "0.3" 10 0.22 "0.61 ( 0.03 )" "21.11 ( 0.75 )" "0.02 ( 0.01 )" 26.09 "0.75" 0.61 21.1 0.02 +500 1000 "0.3" 2 0.47 "0.28 ( 0 )" "7.69 ( 0.63 )" "0 ( 0 )" 12.69 "0.45" 0.28 7.69 0 +1000 1000 "0.3" 1 0.58 "0.27 ( 0 )" "5.27 ( 0.46 )" "0 ( 0 )" 10.27 "0.33" 0.27 5.27 0 +50 50 "0.5" 1 0.35 "0.63 ( 0.04 )" "8.51 ( 0.41 )" "0.17 ( 0.04 )" 13.34 "0.53" 0.63 8.51 0.17 +100 50 "0.5" 0.5 0.42 "0.37 ( 0.01 )" "7.21 ( 0.33 )" "0.01 ( 0.01 )" 12.2 "0.47" 0.37 7.21 0.01 +500 50 "0.5" 0.1 0.66 "0.27 ( 0 )" "3.64 ( 0.21 )" "0 ( 0 )" 8.64 "0.27" 0.27 3.64 0 +1000 50 "0.5" 0.05 0.78 "0.27 ( 0 )" "2.46 ( 0.15 )" "0 ( 0 )" 7.46 "0.17" 0.27 2.46 0 +50 100 "0.5" 2 0.24 "0.8 ( 0.05 )" "13.21 ( 0.46 )" "0.6 ( 0.07 )" 17.61 "0.68" 0.8 13.2 0.6 +100 100 "0.5" 1 0.36 "0.44 ( 0.02 )" "10 ( 0.48 )" "0.02 ( 0.01 )" 14.98 "0.56" 0.44 10 0.02 +500 100 "0.5" 0.2 0.62 "0.29 ( 0 )" "4.39 ( 0.28 )" "0 ( 0 )" 9.39 "0.31" 0.29 4.39 0 +1000 100 "0.5" 0.1 0.71 "0.27 ( 0 )" "3.24 ( 0.22 )" "0 ( 0 )" 8.24 "0.23" 0.27 3.24 0 +50 500 "0.5" 10 0.12 "1.73 ( 0.1 )" "21.69 ( 0.32 )" "1.93 ( 0.09 )" 24.76 "0.83" 1.73 21.6 1.93 +100 500 "0.5" 5 0.23 "0.62 ( 0.03 )" "19.6 ( 0.76 )" "0.16 ( 0.04 )" 24.44 "0.74" 0.62 19.6 0.16 +500 500 "0.5" 1 0.4 "0.29 ( 0 )" "9.79 ( 0.55 )" "0 ( 0 )" 14.79 "0.54" 0.29 9.79 0 +1000 500 "0.5" 0.5 0.51 "0.28 ( 0 )" "6.66 ( 0.64 )" "0 ( 0 )" 11.66 "0.38" 0.28 6.66 0 +50 1000 "0.5" 20 0.09 "2.17 ( 0.13 )" "25.13 ( 0.34 )" "2.69 ( 0.1 )" 27.44 "0.88" 2.17 25.1 2.69 +100 1000 "0.5" 10 0.19 "0.75 ( 0.03 )" "23.22 ( 0.79 )" "0.26 ( 0.05 )" 27.96 "0.78" 0.75 23.2 0.26 +500 1000 "0.5" 2 0.39 "0.3 ( 0 )" "10.46 ( 0.63 )" "0 ( 0 )" 15.46 "0.54" 0.3 10.4 0 +1000 1000 "0.5" 1 0.48 "0.28 ( 0 )" "7.42 ( 0.6 )" "0 ( 0 )" 12.42 "0.42" 0.28 7.42 0 +50 50 "0.7" 1 0.3 "0.66 ( 0.04 )" "9.27 ( 0.39 )" "0.47 ( 0.06 )" 13.8 "0.57" 0.66 9.27 0.47 +100 50 "0.7" 0.5 0.39 "0.37 ( 0.01 )" "7.9 ( 0.35 )" "0.05 ( 0.03 )" 12.85 "0.5" 0.37 7.9 0.05 +500 50 "0.7" 0.1 0.6 "0.27 ( 0 )" "4.38 ( 0.21 )" "0 ( 0 )" 9.38 "0.33" 0.27 4.38 0 +1000 50 "0.7" 0.05 0.74 "0.27 ( 0 )" "2.84 ( 0.14 )" "0 ( 0 )" 7.84 "0.21" 0.27 2.84 0 +50 100 "0.7" 2 0.23 "0.8 ( 0.04 )" "11.57 ( 0.53 )" "1.26 ( 0.1 )" 15.31 "0.66" 0.8 11.5 1.26 +100 100 "0.7" 1 0.31 "0.39 ( 0.01 )" "11.68 ( 0.51 )" "0.1 ( 0.04 )" 16.58 "0.61" 0.39 11.6 0.1 +500 100 "0.7" 0.2 0.49 "0.28 ( 0 )" "6.56 ( 0.32 )" "0 ( 0 )" 11.56 "0.44" 0.28 6.56 0 +1000 100 "0.7" 0.1 0.63 "0.27 ( 0 )" "4.24 ( 0.26 )" "0 ( 0 )" 9.24 "0.3" 0.27 4.24 0 +50 500 "0.7" 10 0.12 "1.37 ( 0.08 )" "19.8 ( 0.33 )" "2.78 ( 0.08 )" 22.02 "0.85" 1.37 19.8 2.78 +100 500 "0.7" 5 0.19 "0.62 ( 0.03 )" "18.58 ( 0.85 )" "0.88 ( 0.08 )" 22.7 "0.75" 0.62 18.5 0.88 +500 500 "0.7" 1 0.36 "0.3 ( 0 )" "11.31 ( 0.6 )" "0 ( 0 )" 16.31 "0.58" 0.3 11.3 0 +1000 500 "0.7" 0.5 0.46 "0.27 ( 0 )" "7.93 ( 0.49 )" "0 ( 0 )" 12.93 "0.47" 0.27 7.93 0 +50 1000 "0.7" 20 0.09 "1.5 ( 0.08 )" "22.99 ( 0.35 )" "3.2 ( 0.09 )" 24.79 "0.88" 1.5 22.9 3.2 +100 1000 "0.7" 10 0.14 "0.77 ( 0.04 )" "22.43 ( 0.68 )" "1.45 ( 0.1 )" 25.98 "0.82" 0.77 22.4 1.45 +500 1000 "0.7" 2 0.3 "0.31 ( 0 )" "14.7 ( 0.84 )" "0 ( 0 )" 19.7 "0.65" 0.31 14.7 0 +1000 1000 "0.7" 1 0.41 "0.28 ( 0 )" "9.63 ( 0.54 )" "0 ( 0 )" 14.63 "0.53" 0.28 9.63 0 +50 50 "0.9" 1 0.31 "0.55 ( 0.03 )" "5.65 ( 0.29 )" "2.17 ( 0.13 )" 8.48 "0.51" 0.55 5.65 2.17 +100 50 "0.9" 0.5 0.38 "0.38 ( 0.02 )" "5.85 ( 0.3 )" "1.03 ( 0.11 )" 9.82 "0.45" 0.38 5.85 1.03 +500 50 "0.9" 0.1 0.61 "0.28 ( 0 )" "4.34 ( 0.19 )" "0.01 ( 0.01 )" 9.33 "0.33" 0.28 4.34 0.01 +1000 50 "0.9" 0.05 0.76 "0.27 ( 0 )" "2.71 ( 0.12 )" "0 ( 0 )" 7.71 "0.2" 0.27 2.71 0 +50 100 "0.9" 2 0.26 "0.6 ( 0.03 )" "7.26 ( 0.35 )" "2.69 ( 0.1 )" 9.57 "0.62" 0.6 7.26 2.69 +100 100 "0.9" 1 0.31 "0.44 ( 0.01 )" "7.79 ( 0.39 )" "1.51 ( 0.11 )" 11.28 "0.57" 0.44 7.79 1.51 +500 100 "0.9" 0.2 0.51 "0.29 ( 0 )" "6.45 ( 0.27 )" "0 ( 0 )" 11.45 "0.45" 0.29 6.45 0 +1000 100 "0.9" 0.1 0.61 "0.27 ( 0 )" "4.72 ( 0.21 )" "0 ( 0 )" 9.72 "0.35" 0.27 4.72 0 +50 500 "0.9" 10 0.13 "0.81 ( 0.04 )" "13.78 ( 0.36 )" "3.54 ( 0.08 )" 15.24 "0.83" 0.81 13.7 3.54 +100 500 "0.9" 5 0.18 "0.54 ( 0.02 )" "13.78 ( 0.72 )" "2.58 ( 0.08 )" 16.2 "0.76" 0.54 13.7 2.58 +500 500 "0.9" 1 0.25 "0.3 ( 0 )" "18.18 ( 0.69 )" "0.03 ( 0.02 )" 23.15 "0.72" 0.3 18.1 0.03 +1000 500 "0.9" 0.5 0.33 "0.28 ( 0 )" "12.68 ( 0.57 )" "0 ( 0 )" 17.68 "0.63" 0.28 12.6 0 +50 1000 "0.9" 20 0.08 "0.9 ( 0.05 )" "18.15 ( 0.34 )" "3.92 ( 0.08 )" 19.23 "0.89" 0.9 18.1 3.92 +100 1000 "0.9" 10 0.16 "0.59 ( 0.02 )" "15.99 ( 0.66 )" "2.88 ( 0.06 )" 18.11 "0.81" 0.59 15.9 2.88 +500 1000 "0.9" 2 0.2 "0.31 ( 0 )" "24.62 ( 1.01 )" "0.05 ( 0.02 )" 29.57 "0.77" 0.31 24.6 0.05 +1000 1000 "0.9" 1 0.25 "0.28 ( 0 )" "18.51 ( 0.86 )" "0 ( 0 )" 23.51 "0.71" 0.28 18.5 0 diff --git a/simulations/results_summary/sim_toe_rf.txt b/simulations/results_summary/sim_toe_rf.txt new file mode 100644 index 0000000..65fd568 --- /dev/null +++ b/simulations/results_summary/sim_toe_rf.txt @@ -0,0 +1,81 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "OOB" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" "OOB_mean" +50 50 "0.1" 1 0 "1.4 ( 0.06 )" "1 ( 0 )" "6 ( 0 )" "1.98 ( 0.02 )" 0 "NaN" 1.4 1 6 1.98 +100 50 "0.1" 0.5 0.19 "0.86 ( 0.03 )" "1.87 ( 0.14 )" "4.25 ( 0.09 )" "1.76 ( 0.01 )" 3.62 "0.48" 0.86 1.87 4.25 1.76 +500 50 "0.1" 0.1 0.77 "0.44 ( 0.01 )" "0.32 ( 0.05 )" "1.81 ( 0.07 )" "1.29 ( 0 )" 4.51 "0.06" 0.44 0.32 1.81 1.29 +1000 50 "0.1" 0.05 0.86 "0.34 ( 0 )" "0.15 ( 0.04 )" "0.93 ( 0.07 )" "1.15 ( 0 )" 5.22 "0.02" 0.34 0.15 0.93 1.15 +50 100 "0.1" 2 0 "1.36 ( 0.06 )" "1 ( 0 )" "6 ( 0 )" "2.19 ( 0.02 )" 0 "NaN" 1.36 1 6 2.19 +100 100 "0.1" 1 0.12 "0.93 ( 0.03 )" "4.11 ( 0.18 )" "4.17 ( 0.1 )" "1.99 ( 0.01 )" 5.93 "0.68" 0.93 4.11 4.17 1.99 +500 100 "0.1" 0.2 0.57 "0.56 ( 0.01 )" "2.08 ( 0.14 )" "1.52 ( 0.08 )" "1.51 ( 0 )" 6.56 "0.29" 0.56 2.08 1.52 1.51 +1000 100 "0.1" 0.1 0.74 "0.45 ( 0 )" "1.11 ( 0.1 )" "0.74 ( 0.07 )" "1.37 ( 0 )" 6.37 "0.16" 0.45 1.11 0.74 1.37 +50 500 "0.1" 10 0 "1.29 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.39 ( 0.02 )" 0 "NaN" 1.29 1 6 2.39 +100 500 "0.1" 5 0.02 "0.95 ( 0.02 )" "24.82 ( 0.56 )" "4.55 ( 0.09 )" "2.35 ( 0.02 )" 26.27 "0.94" 0.95 24.8 4.55 2.35 +500 500 "0.1" 1 0.13 "0.84 ( 0.01 )" "20.8 ( 0.48 )" "1.79 ( 0.1 )" "2.12 ( 0.01 )" 25.01 "0.83" 0.84 20.8 1.79 2.12 +1000 500 "0.1" 0.5 0.18 "0.76 ( 0.01 )" "18.72 ( 0.37 )" "0.91 ( 0.07 )" "2.02 ( 0 )" 23.81 "0.78" 0.76 18.7 0.91 2.02 +50 1000 "0.1" 20 0 "1.35 ( 0.06 )" "1 ( 0 )" "6 ( 0 )" "2.42 ( 0.02 )" 0 "NaN" 1.35 1 6 2.42 +100 1000 "0.1" 10 0.01 "1 ( 0.03 )" "49.42 ( 0.7 )" "4.71 ( 0.09 )" "2.39 ( 0.02 )" 50.71 "0.97" 1 49.4 4.71 2.39 +500 1000 "0.1" 2 0.06 "0.87 ( 0.01 )" "46.19 ( 0.64 )" "1.97 ( 0.09 )" "2.25 ( 0.01 )" 50.22 "0.92" 0.87 46.1 1.97 2.25 +1000 1000 "0.1" 1 0.09 "0.85 ( 0.01 )" "40.92 ( 0.66 )" "0.98 ( 0.07 )" "2.21 ( 0 )" 45.94 "0.89" 0.85 40.9 0.98 2.21 +50 50 "0.3" 1 0 "1.22 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "1.87 ( 0.02 )" 0 "NaN" 1.22 1 6 1.87 +100 50 "0.3" 0.5 0.23 "0.77 ( 0.02 )" "1.72 ( 0.11 )" "4.4 ( 0.08 )" "1.65 ( 0.01 )" 3.32 "0.48" 0.77 1.72 4.4 1.65 +500 50 "0.3" 0.1 0.7 "0.39 ( 0 )" "0.54 ( 0.06 )" "1.98 ( 0.08 )" "1.23 ( 0 )" 4.56 "0.11" 0.39 0.54 1.98 1.23 +1000 50 "0.3" 0.05 0.82 "0.31 ( 0 )" "0.3 ( 0.05 )" "1.19 ( 0.08 )" "1.1 ( 0 )" 5.11 "0.05" 0.31 0.3 1.19 1.1 +50 100 "0.3" 2 0 "1.15 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.03 ( 0.02 )" 0 "NaN" 1.15 1 6 2.03 +100 100 "0.3" 1 0.15 "0.81 ( 0.02 )" "3.77 ( 0.16 )" "4.28 ( 0.07 )" "1.87 ( 0.01 )" 5.49 "0.67" 0.81 3.77 4.28 1.87 +500 100 "0.3" 0.2 0.52 "0.51 ( 0.01 )" "2.21 ( 0.14 )" "1.94 ( 0.09 )" "1.45 ( 0 )" 6.27 "0.33" 0.51 2.21 1.94 1.45 +1000 100 "0.3" 0.1 0.75 "0.41 ( 0 )" "1.4 ( 0.1 )" "0.76 ( 0.07 )" "1.31 ( 0 )" 6.64 "0.2" 0.41 1.4 0.76 1.31 +50 500 "0.3" 10 0 "1.14 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.24 ( 0.02 )" 0 "NaN" 1.14 1 6 2.24 +100 500 "0.3" 5 0.02 "0.89 ( 0.03 )" "24.48 ( 0.46 )" "4.69 ( 0.08 )" "2.21 ( 0.01 )" 25.79 "0.95" 0.89 24.4 4.69 2.21 +500 500 "0.3" 1 0.12 "0.73 ( 0.01 )" "20.86 ( 0.41 )" "2.1 ( 0.09 )" "1.99 ( 0.01 )" 24.76 "0.84" 0.73 20.8 2.1 1.99 +1000 500 "0.3" 0.5 0.19 "0.68 ( 0.01 )" "18.71 ( 0.45 )" "1.13 ( 0.08 )" "1.91 ( 0 )" 23.58 "0.79" 0.68 18.7 1.13 1.91 +50 1000 "0.3" 20 0 "1.2 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "2.29 ( 0.02 )" 0 "NaN" 1.2 1 6 2.29 +100 1000 "0.3" 10 0.01 "0.92 ( 0.03 )" "48.8 ( 0.82 )" "4.79 ( 0.08 )" "2.23 ( 0.02 )" 50.01 "0.98" 0.92 48.8 4.79 2.23 +500 1000 "0.3" 2 0.05 "0.78 ( 0.01 )" "44.58 ( 0.68 )" "2.48 ( 0.09 )" "2.13 ( 0.01 )" 48.1 "0.93" 0.78 44.5 2.48 2.13 +1000 1000 "0.3" 1 0.08 "0.74 ( 0.01 )" "42.87 ( 0.73 )" "1.44 ( 0.09 )" "2.07 ( 0 )" 47.43 "0.9" 0.74 42.8 1.44 2.07 +50 50 "0.5" 1 0 "0.99 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" "1.68 ( 0.02 )" 0 "NaN" 0.99 1 6 1.68 +100 50 "0.5" 0.5 0.24 "0.62 ( 0.02 )" "1.74 ( 0.13 )" "4.39 ( 0.08 )" "1.5 ( 0.01 )" 3.34 "0.47" 0.62 1.74 4.39 1.5 +500 50 "0.5" 0.1 0.7 "0.32 ( 0 )" "0.98 ( 0.09 )" "2.53 ( 0.08 )" "1.14 ( 0 )" 4.45 "0.2" 0.32 0.98 2.53 1.14 +1000 50 "0.5" 0.05 0.78 "0.26 ( 0 )" "0.91 ( 0.07 )" "1.71 ( 0.07 )" "1.03 ( 0 )" 5.2 "0.16" 0.26 0.91 1.71 1.03 +50 100 "0.5" 2 0 "0.91 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "1.84 ( 0.02 )" 0 "NaN" 0.91 1 6 1.84 +100 100 "0.5" 1 0.15 "0.68 ( 0.02 )" "3.72 ( 0.19 )" "4.42 ( 0.08 )" "1.69 ( 0.01 )" 5.3 "0.66" 0.68 3.72 4.42 1.69 +500 100 "0.5" 0.2 0.56 "0.4 ( 0 )" "2.59 ( 0.13 )" "2.1 ( 0.08 )" "1.32 ( 0 )" 6.49 "0.38" 0.4 2.59 2.1 1.32 +1000 100 "0.5" 0.1 0.76 "0.34 ( 0 )" "2.09 ( 0.1 )" "1.08 ( 0.07 )" "1.2 ( 0 )" 7.01 "0.29" 0.34 2.09 1.08 1.2 +50 500 "0.5" 10 0 "0.95 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "2.04 ( 0.02 )" 0 "NaN" 0.95 1 6 2.04 +100 500 "0.5" 5 0.03 "0.75 ( 0.02 )" "24.36 ( 0.56 )" "4.57 ( 0.07 )" "1.97 ( 0.01 )" 25.79 "0.94" 0.75 24.3 4.57 1.97 +500 500 "0.5" 1 0.13 "0.58 ( 0.01 )" "20.66 ( 0.49 )" "2.51 ( 0.07 )" "1.79 ( 0.01 )" 24.15 "0.85" 0.58 20.6 2.51 1.79 +1000 500 "0.5" 0.5 0.2 "0.55 ( 0 )" "18.4 ( 0.44 )" "1.77 ( 0.07 )" "1.72 ( 0 )" 22.63 "0.81" 0.55 18.4 1.77 1.72 +50 1000 "0.5" 20 0 "0.94 ( 0.04 )" "1 ( 0 )" "6 ( 0 )" "2.04 ( 0.02 )" 0 "NaN" 0.94 1 6 2.04 +100 1000 "0.5" 10 0.01 "0.72 ( 0.02 )" "48.5 ( 0.74 )" "4.75 ( 0.08 )" "2.03 ( 0.02 )" 49.75 "0.97" 0.72 48.5 4.75 2.03 +500 1000 "0.5" 2 0.05 "0.65 ( 0.01 )" "46.07 ( 0.71 )" "2.83 ( 0.09 )" "1.93 ( 0.01 )" 49.24 "0.93" 0.65 46 2.83 1.93 +1000 1000 "0.5" 1 0.09 "0.61 ( 0.01 )" "41.21 ( 0.68 )" "1.84 ( 0.08 )" "1.87 ( 0 )" 45.37 "0.91" 0.61 41.2 1.84 1.87 +50 50 "0.7" 1 0 "0.66 ( 0.03 )" "1 ( 0 )" "6 ( 0 )" "1.44 ( 0.01 )" 0 "NaN" 0.66 1 6 1.44 +100 50 "0.7" 0.5 0.28 "0.44 ( 0.01 )" "1.84 ( 0.14 )" "4.44 ( 0.08 )" "1.26 ( 0.01 )" 3.4 "0.48" 0.44 1.84 4.44 1.26 +500 50 "0.7" 0.1 0.74 "0.23 ( 0 )" "1.29 ( 0.07 )" "2.76 ( 0.07 )" "0.98 ( 0 )" 4.53 "0.27" 0.23 1.29 2.76 0.98 +1000 50 "0.7" 0.05 0.85 "0.19 ( 0 )" "1.57 ( 0.07 )" "2.29 ( 0.06 )" "0.9 ( 0 )" 5.28 "0.29" 0.19 1.57 2.29 0.9 +50 100 "0.7" 2 0 "0.67 ( 0.03 )" "1 ( 0 )" "6 ( 0 )" "1.5 ( 0.02 )" 0 "NaN" 0.67 1 6 1.5 +100 100 "0.7" 1 0.14 "0.47 ( 0.01 )" "4.64 ( 0.25 )" "4.32 ( 0.09 )" "1.4 ( 0.01 )" 6.32 "0.7" 0.47 4.64 4.32 1.4 +500 100 "0.7" 0.2 0.63 "0.28 ( 0 )" "2.64 ( 0.14 )" "2.52 ( 0.07 )" "1.14 ( 0 )" 6.12 "0.41" 0.28 2.64 2.52 1.14 +1000 100 "0.7" 0.1 0.8 "0.25 ( 0 )" "2.42 ( 0.1 )" "1.76 ( 0.05 )" "1.05 ( 0 )" 6.66 "0.35" 0.25 2.42 1.76 1.05 +50 500 "0.7" 10 0 "0.7 ( 0.03 )" "1 ( 0 )" "6 ( 0 )" "1.68 ( 0.02 )" 0 "NaN" 0.7 1 6 1.68 +100 500 "0.7" 5 0.03 "0.49 ( 0.02 )" "24.87 ( 0.57 )" "4.59 ( 0.09 )" "1.64 ( 0.01 )" 26.28 "0.94" 0.49 24.8 4.59 1.64 +500 500 "0.7" 1 0.13 "0.4 ( 0 )" "21.21 ( 0.55 )" "2.97 ( 0.08 )" "1.49 ( 0 )" 24.24 "0.87" 0.4 21.2 2.97 1.49 +1000 500 "0.7" 0.5 0.21 "0.38 ( 0 )" "17.4 ( 0.46 )" "1.98 ( 0.07 )" "1.43 ( 0 )" 21.42 "0.8" 0.38 17.4 1.98 1.43 +50 1000 "0.7" 20 0 "0.74 ( 0.03 )" "1 ( 0 )" "6 ( 0 )" "1.69 ( 0.02 )" 0 "NaN" 0.74 1 6 1.69 +100 1000 "0.7" 10 0.01 "0.5 ( 0.01 )" "49.02 ( 0.67 )" "4.84 ( 0.08 )" "1.69 ( 0.01 )" 50.18 "0.98" 0.5 49 4.84 1.69 +500 1000 "0.7" 2 0.07 "0.44 ( 0 )" "45.41 ( 0.68 )" "3.02 ( 0.07 )" "1.59 ( 0.01 )" 48.39 "0.94" 0.44 45.4 3.02 1.59 +1000 1000 "0.7" 1 0.09 "0.42 ( 0 )" "42.15 ( 0.71 )" "2.37 ( 0.07 )" "1.56 ( 0 )" 45.78 "0.92" 0.42 42.1 2.37 1.56 +50 50 "0.9" 1 0 "0.27 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "0.96 ( 0.01 )" 0 "NaN" 0.27 1 6 0.96 +100 50 "0.9" 0.5 0.19 "0.19 ( 0.01 )" "2.14 ( 0.17 )" "4.84 ( 0.08 )" "0.89 ( 0.01 )" 3.28 "0.58" 0.19 2.14 4.84 0.89 +500 50 "0.9" 0.1 0.67 "0.12 ( 0 )" "1.43 ( 0.09 )" "3.13 ( 0.08 )" "0.74 ( 0 )" 4.3 "0.32" 0.12 1.43 3.13 0.74 +1000 50 "0.9" 0.05 0.85 "0.1 ( 0 )" "1.5 ( 0.07 )" "2.46 ( 0.06 )" "0.7 ( 0 )" 5.04 "0.29" 0.1 1.5 2.46 0.7 +50 100 "0.9" 2 0 "0.3 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1 ( 0.01 )" 0 "NaN" 0.3 1 6 1 +100 100 "0.9" 1 0.16 "0.19 ( 0.01 )" "4.23 ( 0.22 )" "4.48 ( 0.09 )" "0.98 ( 0.01 )" 5.74 "0.72" 0.19 4.23 4.48 0.98 +500 100 "0.9" 0.2 0.57 "0.14 ( 0 )" "2.86 ( 0.16 )" "2.89 ( 0.07 )" "0.82 ( 0 )" 5.97 "0.45" 0.14 2.86 2.89 0.82 +1000 100 "0.9" 0.1 0.8 "0.12 ( 0 )" "2.42 ( 0.11 )" "1.89 ( 0.05 )" "0.78 ( 0 )" 6.53 "0.36" 0.12 2.42 1.89 0.78 +50 500 "0.9" 10 0 "0.29 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1.1 ( 0.01 )" 0 "NaN" 0.29 1 6 1.1 +100 500 "0.9" 5 0.02 "0.21 ( 0.01 )" "24.34 ( 0.71 )" "4.72 ( 0.09 )" "1.08 ( 0.01 )" 25.62 "0.95" 0.21 24.3 4.72 1.08 +500 500 "0.9" 1 0.14 "0.17 ( 0 )" "21.38 ( 0.6 )" "3 ( 0.07 )" "0.99 ( 0 )" 24.38 "0.87" 0.17 21.3 0 0.99 +1000 500 "0.9" 0.5 0.2 "0.16 ( 0 )" "18.68 ( 0.53 )" "2.35 ( 0.06 )" "0.96 ( 0 )" 22.33 "0.83" 0.16 18.6 2.35 0.96 +50 1000 "0.9" 20 0 "0.29 ( 0.01 )" "1 ( 0 )" "6 ( 0 )" "1.11 ( 0.01 )" 0 "NaN" 0.29 1 6 1.11 +100 1000 "0.9" 10 0.01 "0.2 ( 0.01 )" "49.91 ( 0.83 )" "4.99 ( 0.09 )" "1.09 ( 0.01 )" 50.92 "0.98" 0.2 49.9 4.99 1.09 +500 1000 "0.9" 2 0.06 "0.19 ( 0 )" "46.34 ( 0.86 )" "3.13 ( 0.08 )" "1.04 ( 0 )" 49.21 "0.94" 0.19 46.3 3.13 1.04 +1000 1000 "0.9" 1 0.09 "0.18 ( 0 )" "43.52 ( 0.89 )" "2.7 ( 0.07 )" "1.02 ( 0 )" 46.82 "0.93" 0.18 43.5 2.7 1.02 diff --git a/simulations/results_summary/table_block_all.txt b/simulations/results_summary/table_block_all.txt new file mode 100644 index 0000000..9819ec1 --- /dev/null +++ b/simulations/results_summary/table_block_all.txt @@ -0,0 +1,321 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" "method" +50 50 0.1 1 0.05 "0.36 ( 0.01 )" "3.52 ( 0.22 )" "4.92 ( 0.08 )" 3.6 0.65 0.36 3.52 4.92 "lasso" +100 50 0.1 0.5 0.18 "0.31 ( 0.01 )" "2.71 ( 0.25 )" "4.4 ( 0.1 )" 3.31 0.42 0.31 2.71 4.4 "lasso" +500 50 0.1 0.1 0.35 "0.29 ( 0 )" "5.42 ( 0.25 )" "1.97 ( 0.11 )" 8.45 0.48 0.29 5.42 1.97 "lasso" +1000 50 0.1 0.05 0.44 "0.28 ( 0 )" "4.91 ( 0.2 )" "1.57 ( 0.09 )" 8.34 0.44 0.28 4.91 1.57 "lasso" +50 100 0.1 2 0.06 "0.37 ( 0.02 )" "4.73 ( 0.22 )" "4.79 ( 0.08 )" 4.94 0.72 0.37 4.73 4.79 "lasso" +100 100 0.1 1 0.13 "0.34 ( 0.01 )" "3 ( 0.15 )" "4.75 ( 0.09 )" 3.25 0.57 0.34 3 4.75 "lasso" +500 100 0.1 0.2 0.24 "0.3 ( 0 )" "8.56 ( 0.5 )" "2.13 ( 0.12 )" 11.43 0.57 0.3 8.56 2.13 "lasso" +1000 100 0.1 0.1 0.33 "0.29 ( 0 )" "7.77 ( 0.33 )" "1.44 ( 0.08 )" 11.33 0.56 0.29 7.77 1.44 "lasso" +50 500 0.1 10 0.01 "0.37 ( 0.02 )" "10.58 ( 0.31 )" "5.25 ( 0.07 )" 10.33 0.92 0.37 10.5 5.25 "lasso" +100 500 0.1 5 0.05 "0.35 ( 0.01 )" "6.23 ( 0.26 )" "4.94 ( 0.08 )" 6.29 0.82 0.35 6.23 4.94 "lasso" +500 500 0.1 1 0.33 "0.32 ( 0.01 )" "3.77 ( 0.75 )" "3.69 ( 0.08 )" 5.08 0.27 0.32 3.77 3.69 "lasso" +1000 500 0.1 0.5 0.14 "0.29 ( 0 )" "20.61 ( 1.39 )" "2.11 ( 0.1 )" 23.5 0.69 0.29 20.6 2.11 "lasso" +50 1000 0.1 20 0.01 "0.39 ( 0.02 )" "13.99 ( 0.32 )" "5.31 ( 0.07 )" 13.68 0.95 0.39 13.9 5.31 "lasso" +100 1000 0.1 10 0.03 "0.35 ( 0.01 )" "9.56 ( 0.33 )" "5.01 ( 0.08 )" 9.55 0.89 0.35 9.56 5.01 "lasso" +500 1000 0.1 2 0.48 "0.33 ( 0 )" "1.83 ( 0.19 )" "3.97 ( 0.07 )" 2.86 0.2 0.33 1.83 3.97 "lasso" +1000 1000 0.1 1 0.17 "0.3 ( 0 )" "13.42 ( 1.74 )" "2.77 ( 0.09 )" 15.65 0.47 0.3 13.4 2.77 "lasso" +50 50 0.3 1 0.27 "0.72 ( 0.04 )" "8.7 ( 0.42 )" "0.79 ( 0.09 )" 12.91 0.56 0.72 8.7 0.79 "lasso" +100 50 0.3 0.5 0.39 "0.4 ( 0.01 )" "7.91 ( 0.47 )" "0.01 ( 0.01 )" 12.9 0.48 0.4 7.91 0.01 "lasso" +500 50 0.3 0.1 0.63 "0.28 ( 0 )" "3.86 ( 0.25 )" "0 ( 0 )" 8.86 0.28 0.28 3.86 0 "lasso" +1000 50 0.3 0.05 0.78 "0.27 ( 0 )" "2.45 ( 0.14 )" "0 ( 0 )" 7.45 0.17 0.27 2.45 0 "lasso" +50 100 0.3 2 0.21 "0.82 ( 0.05 )" "12.31 ( 0.43 )" "1.14 ( 0.1 )" 16.17 0.68 0.82 12.3 1.14 "lasso" +100 100 0.3 1 0.34 "0.44 ( 0.01 )" "10.58 ( 0.62 )" "0.09 ( 0.03 )" 15.49 0.56 0.44 10.5 0.09 "lasso" +500 100 0.3 0.2 0.61 "0.27 ( 0 )" "4.51 ( 0.29 )" "0 ( 0 )" 9.51 0.32 0.27 4.51 0 "lasso" +1000 100 0.3 0.1 0.69 "0.27 ( 0 )" "3.46 ( 0.29 )" "0 ( 0 )" 8.46 0.24 0.27 3.46 0 "lasso" +50 500 0.3 10 0.09 "1.25 ( 0.07 )" "20.71 ( 0.36 )" "2.63 ( 0.11 )" 23.08 0.85 1.25 20.7 2.63 "lasso" +100 500 0.3 5 0.23 "0.59 ( 0.02 )" "18.01 ( 0.69 )" "0.35 ( 0.06 )" 22.66 0.73 0.59 18 0.35 "lasso" +500 500 0.3 1 0.47 "0.29 ( 0 )" "7.7 ( 0.54 )" "0 ( 0 )" 12.7 0.45 0.29 7.7 0 "lasso" +1000 500 0.3 0.5 0.53 "0.27 ( 0 )" "6.14 ( 0.57 )" "0 ( 0 )" 11.14 0.36 0.27 6.14 0 "lasso" +50 1000 0.3 20 0.06 "1.51 ( 0.08 )" "24.06 ( 0.36 )" "3.21 ( 0.11 )" 25.85 0.89 1.51 24 3.21 "lasso" +100 1000 0.3 10 0.17 "0.67 ( 0.03 )" "22.69 ( 0.61 )" "0.73 ( 0.08 )" 26.96 0.8 0.67 22.6 0.73 "lasso" +500 1000 0.3 2 0.35 "0.29 ( 0 )" "11.72 ( 0.9 )" "0 ( 0 )" 16.72 0.55 0.29 11.7 0 "lasso" +1000 1000 0.3 1 0.51 "0.27 ( 0 )" "6.69 ( 0.52 )" "0 ( 0 )" 11.69 0.41 0.27 6.69 0 "lasso" +50 50 0.5 1 0.33 "0.64 ( 0.03 )" "9.36 ( 0.45 )" "0.12 ( 0.04 )" 14.24 0.55 0.64 9.36 0.12 "lasso" +100 50 0.5 0.5 0.41 "0.36 ( 0.01 )" "7.39 ( 0.39 )" "0 ( 0 )" 12.39 0.47 0.36 7.39 0 "lasso" +500 50 0.5 0.1 0.7 "0.28 ( 0 )" "3.18 ( 0.23 )" "0 ( 0 )" 8.18 0.22 0.28 3.18 0 "lasso" +1000 50 0.5 0.05 0.82 "0.27 ( 0 )" "2.11 ( 0.13 )" "0 ( 0 )" 7.11 0.13 0.27 2.11 0 "lasso" +50 100 0.5 2 0.28 "0.78 ( 0.05 )" "12.05 ( 0.47 )" "0.38 ( 0.07 )" 16.67 0.64 0.78 12 0.38 "lasso" +100 100 0.5 1 0.37 "0.42 ( 0.02 )" "9.57 ( 0.58 )" "0 ( 0 )" 14.57 0.54 0.42 9.57 0 "lasso" +500 100 0.5 0.2 0.59 "0.27 ( 0 )" "4.7 ( 0.3 )" "0 ( 0 )" 9.7 0.33 0.27 4.7 0 "lasso" +1000 100 0.5 0.1 0.78 "0.27 ( 0 )" "2.58 ( 0.16 )" "0 ( 0 )" 7.58 0.18 0.27 2.58 0 "lasso" +50 500 0.5 10 0.12 "1.64 ( 0.1 )" "21.8 ( 0.36 )" "1.82 ( 0.11 )" 24.98 0.83 1.64 21.8 1.82 "lasso" +100 500 0.5 5 0.24 "0.55 ( 0.02 )" "18.37 ( 0.77 )" "0.04 ( 0.02 )" 23.33 0.72 0.55 18.3 0.04 "lasso" +500 500 0.5 1 0.46 "0.3 ( 0 )" "7.82 ( 0.64 )" "0 ( 0 )" 12.82 0.44 0.3 7.82 0 "lasso" +1000 500 0.5 0.5 0.65 "0.28 ( 0 )" "4.16 ( 0.33 )" "0 ( 0 )" 9.16 0.28 0.28 4.16 0 "lasso" +50 1000 0.5 20 0.09 "1.84 ( 0.1 )" "24.67 ( 0.36 )" "2.56 ( 0.11 )" 27.11 0.87 1.84 24.6 2.56 "lasso" +100 1000 0.5 10 0.21 "0.64 ( 0.03 )" "22.01 ( 0.65 )" "0.12 ( 0.03 )" 26.89 0.77 0.64 22 0.12 "lasso" +500 1000 0.5 2 0.45 "0.29 ( 0 )" "8.22 ( 0.73 )" "0 ( 0 )" 13.22 0.44 0.29 8.22 0 "lasso" +1000 1000 0.5 1 0.53 "0.27 ( 0 )" "6.36 ( 0.51 )" "0 ( 0 )" 11.36 0.39 0.27 6.36 0 "lasso" +50 50 0.7 1 0.36 "0.57 ( 0.04 )" "8.63 ( 0.41 )" "0.06 ( 0.02 )" 13.57 0.52 0.57 8.63 0.06 "lasso" +100 50 0.7 0.5 0.45 "0.37 ( 0.01 )" "6.73 ( 0.39 )" "0 ( 0 )" 11.73 0.44 0.37 6.73 0 "lasso" +500 50 0.7 0.1 0.71 "0.28 ( 0 )" "3.01 ( 0.2 )" "0 ( 0 )" 8.01 0.22 0.28 3.01 0 "lasso" +1000 50 0.7 0.05 0.85 "0.27 ( 0 )" "1.89 ( 0.12 )" "0 ( 0 )" 6.89 0.11 0.27 1.89 0 "lasso" +50 100 0.7 2 0.3 "0.82 ( 0.05 )" "11.87 ( 0.44 )" "0.17 ( 0.05 )" 16.7 0.63 0.82 11.8 0.17 "lasso" +100 100 0.7 1 0.37 "0.41 ( 0.02 )" "9.7 ( 0.63 )" "0 ( 0 )" 14.7 0.53 0.41 9.7 0 "lasso" +500 100 0.7 0.2 0.66 "0.28 ( 0 )" "3.85 ( 0.3 )" "0 ( 0 )" 8.85 0.26 0.28 3.85 0 "lasso" +1000 100 0.7 0.1 0.76 "0.27 ( 0 )" "2.71 ( 0.23 )" "0 ( 0 )" 7.71 0.17 0.27 2.71 0 "lasso" +50 500 0.7 10 0.15 "2.03 ( 0.14 )" "21.53 ( 0.36 )" "1.18 ( 0.11 )" 25.35 0.81 2.03 21.5 1.18 "lasso" +100 500 0.7 5 0.28 "0.54 ( 0.02 )" "16.11 ( 0.63 )" "0 ( 0 )" 21.11 0.69 0.54 16.1 0 "lasso" +500 500 0.7 1 0.51 "0.29 ( 0 )" "6.69 ( 0.45 )" "0 ( 0 )" 11.69 0.42 0.29 6.69 0 "lasso" +1000 500 0.7 0.5 0.62 "0.28 ( 0 )" "4.65 ( 0.37 )" "0 ( 0 )" 9.65 0.3 0.28 4.65 0 "lasso" +50 1000 0.7 20 0.1 "2.51 ( 0.13 )" "25.24 ( 0.32 )" "2.11 ( 0.12 )" 28.13 0.86 2.51 25.2 2.11 "lasso" +100 1000 0.7 10 0.22 "0.59 ( 0.02 )" "21.52 ( 0.68 )" "0.01 ( 0.01 )" 26.51 0.76 0.59 21.5 0.01 "lasso" +500 1000 0.7 2 0.47 "0.3 ( 0 )" "7.81 ( 0.61 )" "0 ( 0 )" 12.81 0.45 0.3 7.81 0 "lasso" +1000 1000 0.7 1 0.65 "0.28 ( 0 )" "4.14 ( 0.35 )" "0 ( 0 )" 9.14 0.27 0.28 4.14 0 "lasso" +50 50 0.9 1 0.32 "0.61 ( 0.05 )" "9.61 ( 0.49 )" "0.07 ( 0.03 )" 14.54 0.55 0.61 9.61 0.07 "lasso" +100 50 0.9 0.5 0.44 "0.37 ( 0.01 )" "6.82 ( 0.39 )" "0 ( 0 )" 11.82 0.44 0.37 6.82 0 "lasso" +500 50 0.9 0.1 0.75 "0.27 ( 0 )" "2.68 ( 0.17 )" "0 ( 0 )" 7.68 0.19 0.27 2.68 0 "lasso" +1000 50 0.9 0.05 0.87 "0.27 ( 0 )" "1.76 ( 0.11 )" "0 ( 0 )" 6.76 0.09 0.27 1.76 0 "lasso" +50 100 0.9 2 0.29 "0.87 ( 0.05 )" "12.12 ( 0.37 )" "0.17 ( 0.05 )" 16.95 0.64 0.87 12.1 0.17 "lasso" +100 100 0.9 1 0.4 "0.38 ( 0.01 )" "8.72 ( 0.53 )" "0 ( 0 )" 13.72 0.51 0.38 8.72 0 "lasso" +500 100 0.9 0.2 0.67 "0.27 ( 0 )" "3.68 ( 0.28 )" "0 ( 0 )" 8.68 0.25 0.27 3.68 0 "lasso" +1000 100 0.9 0.1 0.76 "0.27 ( 0 )" "2.72 ( 0.23 )" "0 ( 0 )" 7.72 0.17 0.27 2.72 0 "lasso" +50 500 0.9 10 0.14 "2.29 ( 0.15 )" "23.7 ( 0.43 )" "1.18 ( 0.11 )" 27.52 0.82 2.29 23.7 1.18 "lasso" +100 500 0.9 5 0.28 "0.51 ( 0.02 )" "16.13 ( 0.62 )" "0 ( 0 )" 21.13 0.69 0.51 16.1 0 "lasso" +500 500 0.9 1 0.5 "0.29 ( 0 )" "6.87 ( 0.54 )" "0 ( 0 )" 11.87 0.41 0.29 6.87 0 "lasso" +1000 500 0.9 0.5 0.71 "0.27 ( 0 )" "3.37 ( 0.27 )" "0 ( 0 )" 8.37 0.23 0.27 3.37 0 "lasso" +50 1000 0.9 20 0.11 "2.46 ( 0.16 )" "25.37 ( 0.35 )" "1.73 ( 0.12 )" 28.64 0.85 2.46 25.3 1.73 "lasso" +100 1000 0.9 10 0.22 "0.62 ( 0.03 )" "21.43 ( 0.62 )" "0 ( 0 )" 26.43 0.76 0.62 21.4 0 "lasso" +500 1000 0.9 2 0.46 "0.3 ( 0 )" "7.99 ( 0.79 )" "0 ( 0 )" 12.99 0.42 0.3 7.99 0 "lasso" +1000 1000 0.9 1 0.6 "0.28 ( 0 )" "4.93 ( 0.43 )" "0 ( 0 )" 9.93 0.31 0.28 4.93 0 "lasso" +50 50 0.1 1 0.02 "0.38 ( 0.02 )" "10.9 ( 0.97 )" "3.91 ( 0.15 )" 11.99 0.77 0.38 10.9 3.91 "elnet" +100 50 0.1 0.5 0.06 "0.34 ( 0.01 )" "13.39 ( 1.06 )" "2.45 ( 0.16 )" 15.94 0.68 0.34 13.3 2.45 "elnet" +500 50 0.1 0.1 0.13 "0.27 ( 0 )" "19.21 ( 0.81 )" "0.14 ( 0.04 )" 24.07 0.73 0.27 19.2 0.14 "elnet" +1000 50 0.1 0.05 0.15 "0.26 ( 0 )" "18.76 ( 0.63 )" "0.02 ( 0.01 )" 23.74 0.73 0.26 18.7 0.02 "elnet" +50 100 0.1 2 0.03 "0.41 ( 0.02 )" "9.27 ( 0.76 )" "4.63 ( 0.09 )" 9.64 0.82 0.41 9.27 4.63 "elnet" +100 100 0.1 1 0.07 "0.34 ( 0.01 )" "10.1 ( 1.04 )" "3.87 ( 0.13 )" 11.23 0.7 0.34 10.1 3.87 "elnet" +500 100 0.1 0.2 0.13 "0.29 ( 0 )" "25.4 ( 0.81 )" "0.41 ( 0.06 )" 29.99 0.8 0.29 25.4 0.41 "elnet" +1000 100 0.1 0.1 0.13 "0.27 ( 0 )" "28.36 ( 0.94 )" "0.06 ( 0.03 )" 33.3 0.81 0.27 28.3 0.06 "elnet" +50 500 0.1 10 0.01 "0.41 ( 0.02 )" "30.9 ( 3.51 )" "4.65 ( 0.13 )" 31.25 0.94 0.41 30.9 4.65 "elnet" +100 500 0.1 5 0.03 "0.36 ( 0.01 )" "20.83 ( 2.77 )" "4.43 ( 0.1 )" 21.4 0.87 0.36 20.8 4.43 "elnet" +500 500 0.1 1 0.08 "0.32 ( 0 )" "29.71 ( 2.76 )" "2.55 ( 0.12 )" 32.16 0.8 0.32 29.7 2.55 "elnet" +1000 500 0.1 0.5 0.07 "0.28 ( 0 )" "61.47 ( 1.31 )" "0.56 ( 0.07 )" 65.91 0.91 0.28 61.4 0.56 "elnet" +50 1000 0.1 20 0 "0.41 ( 0.02 )" "38.1 ( 4.05 )" "5.01 ( 0.11 )" 38.09 0.97 0.41 38.1 5.01 "elnet" +100 1000 0.1 10 0.02 "0.36 ( 0.01 )" "35.49 ( 4.37 )" "4.34 ( 0.14 )" 36.15 0.93 0.36 35.4 4.34 "elnet" +500 1000 0.1 2 0.1 "0.3 ( 0 )" "20.28 ( 2.74 )" "3.25 ( 0.08 )" 22.03 0.75 0.3 20.2 3.25 "elnet" +1000 1000 0.1 1 0.05 "0.29 ( 0 )" "71.65 ( 3.47 )" "1.5 ( 0.1 )" 75.15 0.9 0.29 71.6 1.5 "elnet" +50 50 0.3 1 0.17 "0.56 ( 0.03 )" "15.98 ( 0.61 )" "0.26 ( 0.05 )" 20.72 0.7 0.56 15.9 0.26 "elnet" +100 50 0.3 0.5 0.2 "0.34 ( 0.01 )" "15.16 ( 0.6 )" "0 ( 0 )" 20.16 0.68 0.34 15.1 0 "elnet" +500 50 0.3 0.1 0.19 "0.27 ( 0 )" "15.78 ( 0.58 )" "0 ( 0 )" 20.78 0.69 0.27 15.7 0 "elnet" +1000 50 0.3 0.05 0.22 "0.26 ( 0 )" "14.34 ( 0.49 )" "0 ( 0 )" 19.34 0.67 0.26 14.3 0 "elnet" +50 100 0.3 2 0.13 "0.81 ( 0.05 )" "22.23 ( 1.04 )" "0.7 ( 0.08 )" 26.53 0.78 0.81 22.2 0.7 "elnet" +100 100 0.3 1 0.16 "0.42 ( 0.02 )" "23.17 ( 0.94 )" "0.02 ( 0.01 )" 28.15 0.77 0.42 23.1 0.02 "elnet" +500 100 0.3 0.2 0.18 "0.27 ( 0 )" "21.25 ( 0.84 )" "0 ( 0 )" 26.25 0.74 0.27 21.2 0 "elnet" +1000 100 0.3 0.1 0.2 "0.26 ( 0 )" "19.57 ( 0.81 )" "0 ( 0 )" 24.57 0.73 0.26 19.5 0 "elnet" +50 500 0.3 10 0.05 "1.29 ( 0.07 )" "43.56 ( 3.08 )" "2.15 ( 0.13 )" 46.41 0.89 1.29 43.5 2.15 "elnet" +100 500 0.3 5 0.13 "0.54 ( 0.02 )" "35.33 ( 1.21 )" "0.19 ( 0.05 )" 40.14 0.84 0.54 35.3 0.19 "elnet" +500 500 0.3 1 0.14 "0.28 ( 0 )" "35.68 ( 1.62 )" "0 ( 0 )" 40.68 0.83 0.28 35.6 0 "elnet" +1000 500 0.3 0.5 0.14 "0.27 ( 0 )" "36.15 ( 1.61 )" "0 ( 0 )" 41.15 0.83 0.27 36.1 0 "elnet" +50 1000 0.3 20 0.03 "1.3 ( 0.07 )" "61.12 ( 4.33 )" "2.56 ( 0.12 )" 63.56 0.93 1.3 61.1 2.56 "elnet" +100 1000 0.3 10 0.1 "0.68 ( 0.03 )" "41.5 ( 1.64 )" "0.61 ( 0.08 )" 45.89 0.87 0.68 41.5 0.61 "elnet" +500 1000 0.3 2 0.11 "0.29 ( 0 )" "46.27 ( 2.2 )" "0 ( 0 )" 51.27 0.86 0.29 46.2 0 "elnet" +1000 1000 0.3 1 0.13 "0.27 ( 0 )" "39.23 ( 2 )" "0 ( 0 )" 44.23 0.83 0.27 39.2 0 "elnet" +50 50 0.5 1 0.19 "0.65 ( 0.05 )" "15.43 ( 0.64 )" "0.1 ( 0.04 )" 20.33 0.68 0.65 15.4 0.1 "elnet" +100 50 0.5 0.5 0.2 "0.34 ( 0.01 )" "14.94 ( 0.61 )" "0 ( 0 )" 19.94 0.67 0.34 14.9 0 "elnet" +500 50 0.5 0.1 0.2 "0.27 ( 0 )" "15.76 ( 0.59 )" "0 ( 0 )" 20.76 0.69 0.27 15.7 0 "elnet" +1000 50 0.5 0.05 0.25 "0.26 ( 0 )" "12.73 ( 0.5 )" "0 ( 0 )" 17.73 0.63 0.26 12.7 0 "elnet" +50 100 0.5 2 0.16 "0.8 ( 0.05 )" "21.3 ( 0.83 )" "0.3 ( 0.06 )" 26 0.76 0.8 21.3 0.3 "elnet" +100 100 0.5 1 0.18 "0.37 ( 0.01 )" "21.74 ( 0.84 )" "0 ( 0 )" 26.74 0.75 0.37 21.7 0 "elnet" +500 100 0.5 0.2 0.19 "0.27 ( 0 )" "20.71 ( 0.8 )" "0 ( 0 )" 25.71 0.74 0.27 20.7 0 "elnet" +1000 100 0.5 0.1 0.18 "0.26 ( 0 )" "20.53 ( 0.72 )" "0 ( 0 )" 25.53 0.75 0.26 20.5 0 "elnet" +50 500 0.5 10 0.08 "1.61 ( 0.1 )" "36.33 ( 2.13 )" "1.58 ( 0.11 )" 39.75 0.87 1.61 36.3 1.58 "elnet" +100 500 0.5 5 0.14 "0.53 ( 0.02 )" "34.91 ( 1.29 )" "0.02 ( 0.01 )" 39.89 0.83 0.53 34.9 0.02 "elnet" +500 500 0.5 1 0.15 "0.28 ( 0 )" "32.67 ( 1.7 )" "0 ( 0 )" 37.67 0.8 0.28 32.6 0 "elnet" +1000 500 0.5 0.5 0.14 "0.26 ( 0 )" "33.71 ( 1.97 )" "0 ( 0 )" 38.71 0.8 0.26 33.7 0 "elnet" +50 1000 0.5 20 0.04 "2 ( 0.1 )" "52.83 ( 3.84 )" "2.29 ( 0.1 )" 55.54 0.91 2 52.8 2.29 "elnet" +100 1000 0.5 10 0.11 "0.68 ( 0.03 )" "43.94 ( 1.56 )" "0.14 ( 0.03 )" 48.8 0.87 0.68 43.9 0.14 "elnet" +500 1000 0.5 2 0.14 "0.28 ( 0 )" "37.63 ( 1.92 )" "0 ( 0 )" 42.63 0.83 0.28 37.6 0 "elnet" +1000 1000 0.5 1 0.14 "0.27 ( 0 )" "35.42 ( 1.84 )" "0 ( 0 )" 40.42 0.82 0.27 35.4 0 "elnet" +50 50 0.7 1 0.18 "0.63 ( 0.04 )" "16.71 ( 0.61 )" "0.04 ( 0.02 )" 21.67 0.7 0.63 16.7 0.04 "elnet" +100 50 0.7 0.5 0.22 "0.33 ( 0.01 )" "14.2 ( 0.55 )" "0 ( 0 )" 19.2 0.66 0.33 14.2 0 "elnet" +500 50 0.7 0.1 0.22 "0.26 ( 0 )" "13.96 ( 0.52 )" "0 ( 0 )" 18.96 0.66 0.26 13.9 0 "elnet" +1000 50 0.7 0.05 0.25 "0.26 ( 0 )" "12.77 ( 0.52 )" "0 ( 0 )" 17.77 0.63 0.26 12.7 0 "elnet" +50 100 0.7 2 0.18 "0.86 ( 0.07 )" "19.83 ( 0.86 )" "0.11 ( 0.03 )" 24.72 0.74 0.86 19.8 0.11 "elnet" +100 100 0.7 1 0.17 "0.38 ( 0.01 )" "22.59 ( 1.11 )" "0 ( 0 )" 27.59 0.75 0.38 22.5 0 "elnet" +500 100 0.7 0.2 0.21 "0.28 ( 0 )" "17.78 ( 0.8 )" "0 ( 0 )" 22.78 0.7 0.28 17.7 0 "elnet" +1000 100 0.7 0.1 0.21 "0.26 ( 0 )" "18.55 ( 0.87 )" "0 ( 0 )" 23.55 0.71 0.26 18.5 0 "elnet" +50 500 0.7 10 0.1 "2.19 ( 0.14 )" "33.13 ( 1.76 )" "1.25 ( 0.11 )" 36.88 0.86 2.19 33.1 1.25 "elnet" +100 500 0.7 5 0.13 "0.51 ( 0.02 )" "37.39 ( 1.42 )" "0 ( 0 )" 42.39 0.84 0.51 37.3 0 "elnet" +500 500 0.7 1 0.16 "0.28 ( 0 )" "30.18 ( 1.66 )" "0 ( 0 )" 35.18 0.79 0.28 30.1 0 "elnet" +1000 500 0.7 0.5 0.15 "0.26 ( 0 )" "33.3 ( 1.59 )" "0 ( 0 )" 38.3 0.81 0.26 33.3 0 "elnet" +50 1000 0.7 20 0.06 "2.43 ( 0.14 )" "41.11 ( 2.8 )" "1.98 ( 0.11 )" 44.13 0.89 2.43 41.1 1.98 "elnet" +100 1000 0.7 10 0.12 "0.68 ( 0.03 )" "42.68 ( 1.53 )" "0.02 ( 0.01 )" 47.66 0.86 0.68 42.6 0.02 "elnet" +500 1000 0.7 2 0.12 "0.29 ( 0 )" "42.75 ( 2.32 )" "0 ( 0 )" 47.75 0.84 0.29 42.7 0 "elnet" +1000 1000 0.7 1 0.14 "0.27 ( 0 )" "36.88 ( 2.33 )" "0 ( 0 )" 41.88 0.81 0.27 36.8 0 "elnet" +50 50 0.9 1 0.21 "0.56 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"compLasso" +50 1000 0.1 20 0 "0.37 ( 0.02 )" "4.53 ( 0.54 )" "5.71 ( 0.06 )" 4.82 0.91 0.37 4.53 5.71 "compLasso" +100 1000 0.1 10 0.02 "0.36 ( 0.01 )" "4.14 ( 0.72 )" "5.4 ( 0.08 )" 4.74 0.78 0.36 4.14 5.4 "compLasso" +500 1000 0.1 2 0.52 "0.34 ( 0 )" "0.93 ( 0.19 )" "3.83 ( 0.06 )" 3.1 0.21 0.34 0.93 3.83 "compLasso" +1000 1000 0.1 1 0.21 "0.31 ( 0 )" "8.59 ( 1.37 )" "2.96 ( 0.1 )" 11.63 0.36 0.31 8.59 2.96 "compLasso" +50 50 0.3 1 0.32 "0.8 ( 0.05 )" "5.34 ( 0.32 )" "1.21 ( 0.12 )" 10.13 0.48 0.8 5.34 1.21 "compLasso" +100 50 0.3 0.5 0.5 "0.52 ( 0.02 )" "4.42 ( 0.52 )" "0.1 ( 0.03 )" 10.32 0.33 0.52 4.42 0.1 "compLasso" +500 50 0.3 0.1 0.91 "0.55 ( 0.02 )" "0.53 ( 0.16 )" "0 ( 0 )" 6.53 0.05 0.55 0.53 0 "compLasso" +1000 50 0.3 0.05 0.89 "0.56 ( 0.02 )" "0.66 ( 0.18 )" "0 ( 0 )" 6.66 0.06 0.56 0.66 0 "compLasso" +50 100 0.3 2 0.27 "0.94 ( 0.05 )" "6 ( 0.34 )" "1.93 ( 0.14 )" 10.07 0.54 0.94 6 1.93 "compLasso" +100 100 0.3 1 0.47 "0.53 ( 0.02 )" "5.24 ( 0.45 )" "0.24 ( 0.06 )" 11 0.4 0.53 5.24 0.24 "compLasso" +500 100 0.3 0.2 0.91 "0.54 ( 0.02 )" "0.54 ( 0.15 )" "0 ( 0 )" 6.54 0.06 0.54 0.54 0 "compLasso" +1000 100 0.3 0.1 0.92 "0.55 ( 0.02 )" "0.51 ( 0.15 )" "0 ( 0 )" 6.51 0.05 0.55 0.51 0 "compLasso" +50 500 0.3 10 0.13 "1.31 ( 0.06 )" "5.44 ( 0.44 )" "3.96 ( 0.15 )" 7.48 0.69 1.31 5.44 3.96 "compLasso" +100 500 0.3 5 0.3 "0.73 ( 0.03 )" "9 ( 0.76 )" "0.99 ( 0.12 )" 14.01 0.52 0.73 6 0.99 "compLasso" +500 500 0.3 1 0.95 "0.55 ( 0.01 )" "0.31 ( 0.08 )" "0 ( 0 )" 6.31 0.04 0.55 0.31 0 "compLasso" +1000 500 0.3 0.5 0.92 "0.57 ( 0.02 )" "0.49 ( 0.14 )" "0 ( 0 )" 6.49 0.05 0.57 0.49 0 "compLasso" +50 1000 0.3 20 0.07 "1.55 ( 0.08 )" "3.96 ( 0.47 )" "4.74 ( 0.14 )" 5.22 0.68 1.55 3.96 4.74 "compLasso" +100 1000 0.3 10 0.25 "0.84 ( 0.03 )" "9.51 ( 0.77 )" "1.58 ( 0.11 )" 13.93 0.58 0.84 9.51 1.58 "compLasso" +500 1000 0.3 2 0.92 "0.56 ( 0.01 )" "0.52 ( 0.14 )" "0 ( 0 )" 6.52 0.05 0.56 0.52 0 "compLasso" +1000 1000 0.3 1 0.95 "0.56 ( 0.02 )" "0.29 ( 0.08 )" "0 ( 0 )" 6.29 0.03 0.56 0.29 0 "compLasso" +50 50 0.5 1 0.42 "0.77 ( 0.04 )" "5.49 ( 0.31 )" "0.25 ( 0.06 )" 11.24 0.44 0.77 5.49 0.25 "compLasso" +100 50 0.5 0.5 0.68 "0.6 ( 0.03 )" "2.34 ( 0.31 )" "0.01 ( 0.01 )" 8.33 0.21 0.6 2.34 0.01 "compLasso" +500 50 0.5 0.1 0.93 "0.8 ( 0.03 )" "0.42 ( 0.12 )" "0 ( 0 )" 6.42 0.05 0.8 0.42 0 "compLasso" +1000 50 0.5 0.05 0.88 "0.78 ( 0.03 )" "0.7 ( 0.21 )" "0 ( 0 )" 6.7 0.07 0.78 0.7 0 "compLasso" +50 100 0.5 2 0.36 "1.03 ( 0.07 )" "5.95 ( 0.33 )" "0.96 ( 0.11 )" 10.99 0.49 1.03 5.95 0.96 "compLasso" +100 100 0.5 1 0.65 "0.64 ( 0.03 )" "2.9 ( 0.32 )" "0.03 ( 0.02 )" 8.87 0.27 0.64 2.9 0.03 "compLasso" +500 100 0.5 0.2 0.91 "0.76 ( 0.03 )" "0.56 ( 0.19 )" "0 ( 0 )" 6.56 0.05 0.76 0.56 0 "compLasso" +1000 100 0.5 0.1 0.93 "0.8 ( 0.03 )" "0.4 ( 0.09 )" "0 ( 0 )" 6.4 0.05 0.8 0.4 0 "compLasso" +50 500 0.5 10 0.22 "1.93 ( 0.1 )" "5.08 ( 0.41 )" "3.23 ( 0.15 )" 7.85 0.55 1.93 5.08 3.23 "compLasso" +100 500 0.5 5 0.45 "0.79 ( 0.03 )" "6.21 ( 0.54 )" "0.33 ( 0.07 )" 11.88 0.43 0.79 6.21 0.33 "compLasso" +500 500 0.5 1 0.94 "0.83 ( 0.03 )" "0.36 ( 0.11 )" "0 ( 0 )" 6.36 0.04 0.83 0.36 0 "compLasso" +1000 500 0.5 0.5 0.97 "0.87 ( 0.03 )" "0.19 ( 0.06 )" "0 ( 0 )" 6.19 0.02 0.87 0.19 0 "compLasso" +50 1000 0.5 20 0.15 "2.1 ( 0.11 )" "5.84 ( 0.49 )" "3.77 ( 0.14 )" 8.07 0.66 2.1 5.84 3.77 "compLasso" +100 1000 0.5 10 0.35 "0.91 ( 0.04 )" "8.88 ( 0.73 )" "0.52 ( 0.09 )" 14.36 0.51 0.91 8.88 0.52 "compLasso" +500 1000 0.5 2 0.98 "0.86 ( 0.02 )" "0.13 ( 0.05 )" "0 ( 0 )" 6.13 0.02 0.86 0.13 0 "compLasso" +1000 1000 0.5 1 0.95 "0.85 ( 0.02 )" "0.3 ( 0.11 )" "0 ( 0 )" 6.3 0.03 0.85 0.3 0 "compLasso" +50 50 0.7 1 0.49 "0.8 ( 0.06 )" "4.27 ( 0.31 )" "0.24 ( 0.06 )" 10.03 0.37 0.8 4.27 0.24 "compLasso" +100 50 0.7 0.5 0.75 "0.75 ( 0.03 )" "1.71 ( 0.28 )" "0 ( 0 )" 7.71 0.16 0.75 1.71 0 "compLasso" +500 50 0.7 0.1 0.9 "1 ( 0.04 )" "0.58 ( 0.19 )" "0 ( 0 )" 6.58 0.06 1 0.58 0 "compLasso" +1000 50 0.7 0.05 0.92 "0.98 ( 0.04 )" "0.43 ( 0.09 )" "0 ( 0 )" 6.43 0.05 0.98 0.43 0 "compLasso" +50 100 0.7 2 0.42 "1.14 ( 0.08 )" "5.46 ( 0.32 )" "0.55 ( 0.09 )" 10.91 0.46 1.14 5.46 0.55 "compLasso" +100 100 0.7 1 0.69 "0.82 ( 0.04 )" "2.46 ( 0.41 )" "0 ( 0 )" 8.46 0.21 0.82 2.46 0 "compLasso" +500 100 0.7 0.2 0.89 "1.01 ( 0.04 )" "0.68 ( 0.23 )" "0 ( 0 )" 6.68 0.06 1.01 0.68 0 "compLasso" +1000 100 0.7 0.1 0.94 "1.08 ( 0.04 )" "0.36 ( 0.09 )" "0 ( 0 )" 6.36 0.04 1.08 0.36 0 "compLasso" +50 500 0.7 10 0.26 "2.76 ( 0.17 )" "5.16 ( 0.4 )" "2.65 ( 0.15 )" 8.51 0.51 2.76 5.16 2.65 "compLasso" +100 500 0.7 5 0.52 "0.87 ( 0.03 )" "5.39 ( 0.52 )" "0.04 ( 0.02 )" 11.35 0.39 0.87 5.39 0.04 "compLasso" +500 500 0.7 1 0.94 "1.05 ( 0.04 )" "0.35 ( 0.1 )" "0 ( 0 )" 6.35 0.04 1.05 0.35 0 "compLasso" +1000 500 0.7 0.5 0.98 "1.14 ( 0.04 )" "0.14 ( 0.04 )" "0 ( 0 )" 6.14 0.02 1.14 0.14 0 "compLasso" +50 1000 0.7 20 0.2 "3.02 ( 0.16 )" "5.41 ( 0.43 )" "3.39 ( 0.13 )" 8.02 0.58 3.02 5.41 3.39 "compLasso" +100 1000 0.7 10 0.45 "0.91 ( 0.04 )" "6.6 ( 0.53 )" "0.2 ( 0.05 )" 12.4 0.45 0.91 6.6 0.2 "compLasso" +500 1000 0.7 2 0.95 "1.04 ( 0.04 )" "0.31 ( 0.1 )" "0 ( 0 )" 6.31 0.04 1.04 0.31 0 "compLasso" +1000 1000 0.7 1 0.97 "1.13 ( 0.04 )" "0.21 ( 0.07 )" "0 ( 0 )" 6.21 0.03 1.13 0.21 0 "compLasso" +50 50 0.9 1 0.48 "0.92 ( 0.07 )" "4.7 ( 0.32 )" "0.14 ( 0.04 )" 10.56 0.38 0.92 4.7 0.14 "compLasso" +100 50 0.9 0.5 0.76 "0.94 ( 0.05 )" "1.59 ( 0.25 )" "0 ( 0 )" 7.59 0.15 0.94 1.59 0 "compLasso" +500 50 0.9 0.1 0.92 "1.15 ( 0.06 )" "0.47 ( 0.11 )" "0 ( 0 )" 6.47 0.05 1.15 0.47 0 "compLasso" +1000 50 0.9 0.05 0.89 "1.28 ( 0.05 )" "0.62 ( 0.19 )" "0 ( 0 )" 6.62 0.06 1.28 0.62 0 "compLasso" +50 100 0.9 2 0.42 "1.28 ( 0.08 )" "5.86 ( 0.29 )" "0.47 ( 0.09 )" 11.39 0.48 1.28 5.86 0.47 "compLasso" +100 100 0.9 1 0.81 "0.94 ( 0.04 )" "1.34 ( 0.23 )" "0 ( 0 )" 7.34 0.14 0.94 1.34 0 "compLasso" +500 100 0.9 0.2 0.93 "1.16 ( 0.05 )" "0.43 ( 0.13 )" "0 ( 0 )" 6.43 0.05 1.16 0.43 0 "compLasso" +1000 100 0.9 0.1 0.94 "1.32 ( 0.05 )" "0.34 ( 0.1 )" "0 ( 0 )" 6.34 0.04 1.32 0.34 0 "compLasso" +50 500 0.9 10 0.25 "3.06 ( 0.18 )" "5.42 ( 0.4 )" "2.69 ( 0.15 )" 8.73 0.54 3.06 5.42 2.69 "compLasso" +100 500 0.9 5 0.58 "0.97 ( 0.04 )" "4.2 ( 0.49 )" "0.02 ( 0.02 )" 10.18 0.31 0.97 4.2 0.02 "compLasso" +500 500 0.9 1 0.93 "1.27 ( 0.05 )" "0.44 ( 0.18 )" "0 ( 0 )" 6.44 0.04 1.27 0.44 0 "compLasso" +1000 500 0.9 0.5 0.96 "1.31 ( 0.05 )" "0.23 ( 0.06 )" "0 ( 0 )" 6.23 0.03 1.31 0.23 0 "compLasso" +50 1000 0.9 20 0.23 "3.37 ( 0.19 )" "5.29 ( 0.41 )" "3.13 ( 0.15 )" 8.16 0.57 3.37 5.29 3.13 "compLasso" +100 1000 0.9 10 0.56 "1.14 ( 0.05 )" "4.56 ( 0.38 )" "0.07 ( 0.03 )" 10.49 0.37 1.14 4.56 0.07 "compLasso" +500 1000 0.9 2 0.96 "1.28 ( 0.04 )" "0.27 ( 0.11 )" "0 ( 0 )" 6.27 0.03 1.28 0.27 0 "compLasso" +1000 1000 0.9 1 0.95 "1.35 ( 0.05 )" "0.29 ( 0.09 )" "0 ( 0 )" 6.29 0.03 1.35 0.29 0 "compLasso" diff --git a/simulations/results_summary/table_ind_all.txt b/simulations/results_summary/table_ind_all.txt new file mode 100644 index 0000000..3952135 --- /dev/null +++ b/simulations/results_summary/table_ind_all.txt @@ -0,0 +1,65 @@ +"N" "P" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" "method" +50 50 1 0.37 "0.54 ( 0.03 )" "8.36 ( 0.45 )" "0.02 ( 0.01 )" 13.34 0.51 0.54 8.36 0.02 "lasso" +100 50 0.5 0.51 "0.36 ( 0.01 )" "5.5 ( 0.42 )" "0 ( 0 )" 10.5 0.37 0.36 5.5 0 "lasso" +500 50 0.1 0.79 "0.28 ( 0 )" "2.33 ( 0.14 )" "0 ( 0 )" 7.33 0.15 0.28 2.33 0 "lasso" +1000 50 0.05 0.86 "0.26 ( 0 )" "1.82 ( 0.13 )" "0 ( 0 )" 6.82 0.1 0.26 1.82 0 "lasso" +50 100 2 0.32 "0.66 ( 0.04 )" "11.1 ( 0.38 )" "0.08 ( 0.03 )" 16.02 0.61 0.66 11.1 0.08 "lasso" +100 100 1 0.46 "0.41 ( 0.01 )" "7.23 ( 0.4 )" "0 ( 0 )" 12.23 0.46 0.41 7.23 0 "lasso" +500 100 0.2 0.71 "0.29 ( 0 )" "3.26 ( 0.25 )" "0 ( 0 )" 8.26 0.22 0.29 3.26 0 "lasso" +1000 100 0.1 0.82 "0.27 ( 0 )" "2.25 ( 0.15 )" "0 ( 0 )" 7.25 0.15 0.27 2.25 0 "lasso" +50 500 10 0.19 "1.41 ( 0.11 )" "19.89 ( 0.38 )" "0.64 ( 0.08 )" 24.25 0.77 1.41 19.8 0.64 "lasso" +100 500 5 0.3 "0.48 ( 0.02 )" "14.71 ( 0.7 )" "0 ( 0 )" 19.71 0.66 0.48 14.7 0 "lasso" +500 500 1 0.61 "0.28 ( 0 )" "4.82 ( 0.34 )" "0 ( 0 )" 9.82 0.32 0.28 4.82 0 "lasso" +1000 500 0.5 0.72 "0.27 ( 0 )" "3.35 ( 0.32 )" "0 ( 0 )" 8.35 0.21 0.27 3.35 0 "lasso" +50 1000 20 0.14 "2.24 ( 0.19 )" "23.95 ( 0.37 )" "1.19 ( 0.09 )" 27.76 0.82 2.24 23.9 1.19 "lasso" +100 1000 10 0.25 "0.53 ( 0.02 )" "18.53 ( 0.59 )" "0 ( 0 )" 23.53 0.73 0.53 18.5 0 "lasso" +500 1000 2 0.52 "0.29 ( 0 )" "6.51 ( 0.45 )" "0 ( 0 )" 11.51 0.4 0.29 6.51 0 "lasso" +1000 1000 1 0.64 "0.27 ( 0 )" "4.39 ( 0.56 )" "0 ( 0 )" 9.39 0.26 0.27 4.39 0 "lasso" +50 50 1 0.2 "0.53 ( 0.03 )" "14.99 ( 0.59 )" "0 ( 0 )" 19.99 0.67 0.53 14.9 0 "elnet" +100 50 0.5 0.23 "0.34 ( 0.01 )" "13.46 ( 0.55 )" "0 ( 0 )" 18.46 0.65 0.34 13.4 0 "elnet" +500 50 0.1 0.23 "0.26 ( 0 )" "13.65 ( 0.56 )" "0 ( 0 )" 18.65 0.64 0.26 13.6 0 "elnet" +1000 50 0.05 0.27 "0.25 ( 0 )" "11.76 ( 0.53 )" "0 ( 0 )" 16.76 0.6 0.25 11.7 0 "elnet" +50 100 2 0.19 "0.74 ( 0.06 )" "19.45 ( 0.66 )" "0.04 ( 0.02 )" 24.41 0.74 0.74 19.4 0.04 "elnet" +100 100 1 0.2 "0.38 ( 0.01 )" "19.2 ( 1.02 )" "0 ( 0 )" 24.2 0.71 0.38 19.2 0 "elnet" +500 100 0.2 0.23 "0.27 ( 0 )" "16.28 ( 0.78 )" "0 ( 0 )" 21.28 0.67 0.27 16.2 0 "elnet" +1000 100 0.1 0.23 "0.26 ( 0 )" "17.05 ( 0.76 )" "0 ( 0 )" 22.05 0.69 0.26 17 0 "elnet" +50 500 10 0.13 "1.65 ( 0.13 )" "30.38 ( 1.24 )" "0.58 ( 0.08 )" 34.8 0.83 1.65 30.3 0.58 "elnet" +100 500 5 0.15 "0.5 ( 0.02 )" "32.18 ( 1.44 )" "0 ( 0 )" 37.18 0.81 0.5 32.1 0 "elnet" +500 500 1 0.16 "0.28 ( 0 )" "29.79 ( 1.73 )" "0 ( 0 )" 34.79 0.78 0.28 29.7 0 "elnet" +1000 500 0.5 0.18 "0.26 ( 0 )" "27.21 ( 1.58 )" "0 ( 0 )" 32.21 0.77 0.26 27.2 0 "elnet" +50 1000 20 0.1 "2.5 ( 0.22 )" "36.6 ( 2.03 )" "1.12 ( 0.09 )" 40.48 0.86 2.5 36.6 1.12 "elnet" +100 1000 10 0.13 "0.56 ( 0.02 )" "40.61 ( 1.71 )" "0 ( 0 )" 45.61 0.85 0.56 40.6 0 "elnet" +500 1000 2 0.14 "0.27 ( 0 )" "35.98 ( 2.2 )" "0 ( 0 )" 40.98 0.8 0.27 35.9 0 "elnet" +1000 1000 1 0.15 "0.27 ( 0 )" "34.65 ( 2.02 )" "0 ( 0 )" 39.65 0.79 0.27 34.6 0 "elnet" +50 50 1 0 "1.31 ( 0.06 )" "1 ( 0 )" "6 ( 0 )" 0 NA 1.31 0 6 "rf" +100 50 0.5 0.18 "0.85 ( 0.02 )" "1.85 ( 0.11 )" "4.11 ( 0.1 )" 3.74 0.48 0.85 1.85 4.11 "rf" +500 50 0.1 0.8 "0.47 ( 0.01 )" "0.3 ( 0.05 )" "1.61 ( 0.08 )" 4.69 0.05 0.47 0.3 1.61 "rf" +1000 50 0.05 0.88 "0.35 ( 0 )" "0.07 ( 0.03 )" "0.78 ( 0.07 )" 5.29 0.01 0.35 0.07 0.78 "rf" +50 100 2 0 "1.32 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" 0 NA 1.32 0 6 "rf" +100 100 1 0.08 "0.91 ( 0.03 )" "4.33 ( 0.22 )" "4.45 ( 0.09 )" 5.88 0.72 0.91 4.33 4.45 "rf" +500 100 0.2 0.6 "0.59 ( 0.01 )" "1.91 ( 0.15 )" "1.41 ( 0.07 )" 6.5 0.27 0.59 1.91 1.41 "rf" +1000 100 0.1 0.81 "0.47 ( 0 )" "0.71 ( 0.09 )" "0.53 ( 0.06 )" 6.18 0.1 0.47 0.71 0.53 "rf" +50 500 10 0 "1.33 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" 0 NA 1.33 0 6 "rf" +100 500 5 0.02 "1.07 ( 0.03 )" "23.8 ( 0.52 )" "4.26 ( 0.1 )" 25.54 0.93 1.07 23.8 4.26 "rf" +500 500 1 0.14 "0.84 ( 0.01 )" "19.92 ( 0.41 )" "1.71 ( 0.08 )" 24.21 0.82 0.84 19.9 1.71 "rf" +1000 500 0.5 0.19 "0.78 ( 0.01 )" "18.73 ( 0.42 )" "0.84 ( 0.06 )" 23.89 0.78 0.78 18.7 0.84 "rf" +50 1000 20 0 "1.31 ( 0.05 )" "1 ( 0 )" "6 ( 0 )" 0 NA 1.31 0 6 "rf" +100 1000 10 0.01 "1.06 ( 0.03 )" "48.48 ( 0.63 )" "4.33 ( 0.1 )" 50.15 0.97 1.06 48.4 4.33 "rf" +500 1000 2 0.06 "0.89 ( 0.01 )" "44.77 ( 0.71 )" "1.81 ( 0.1 )" 48.96 0.91 0.89 44.7 1.81 "rf" +1000 1000 1 0.09 "0.85 ( 0.01 )" "41.77 ( 0.68 )" "0.99 ( 0.07 )" 46.78 0.89 0.85 41.7 0.99 "rf" +50 50 1 0.61 "0.8 ( 0.05 )" "2.99 ( 0.27 )" "0.05 ( 0.02 )" 8.94 0.28 0.8 2.99 0.05 "compLasso" +100 50 0.5 0.87 "0.98 ( 0.06 )" "0.79 ( 0.15 )" "0 ( 0 )" 6.79 0.09 0.98 0.79 0 "compLasso" +500 50 0.1 0.91 "1.08 ( 0.05 )" "0.51 ( 0.11 )" "0 ( 0 )" 6.51 0.06 1.08 0.51 0 "compLasso" +1000 50 0.05 0.93 "1.18 ( 0.04 )" "0.39 ( 0.15 )" "0 ( 0 )" 6.39 0.04 1.18 0.39 0 "compLasso" +50 100 2 0.52 "1.05 ( 0.07 )" "4.3 ( 0.31 )" "0.24 ( 0.05 )" 10.06 0.37 1.05 4.3 0.24 "compLasso" +100 100 1 0.85 "0.94 ( 0.04 )" "1.02 ( 0.19 )" "0 ( 0 )" 7.02 0.11 0.94 1.02 0 "compLasso" +500 100 0.2 0.96 "1.16 ( 0.04 )" "0.25 ( 0.09 )" "0 ( 0 )" 6.25 0.03 1.16 0.25 0 "compLasso" +1000 100 0.1 0.89 "1.04 ( 0.05 )" "0.71 ( 0.15 )" "0 ( 0 )" 6.71 0.08 1.04 0.71 0 "compLasso" +50 500 10 0.38 "2.18 ( 0.13 )" "5.53 ( 0.36 )" "1.27 ( 0.11 )" 10.26 0.48 2.18 5.53 1.27 "compLasso" +100 500 5 0.75 "1 ( 0.05 )" "1.9 ( 0.29 )" "0.03 ( 0.02 )" 7.87 0.18 1 1.9 0.03 "compLasso" +500 500 1 0.96 "1.18 ( 0.04 )" "0.27 ( 0.13 )" "0 ( 0 )" 6.27 0.03 1.18 0.27 0 "compLasso" +1000 500 0.5 0.96 "1.24 ( 0.04 )" "0.25 ( 0.1 )" "0 ( 0 )" 6.25 0.03 1.24 0.25 0 "compLasso" +50 1000 20 0.32 "3.09 ( 0.23 )" "5.56 ( 0.36 )" "1.95 ( 0.14 )" 9.61 0.51 3.09 5.56 1.95 "compLasso" +100 1000 10 0.67 "1.1 ( 0.07 )" "2.8 ( 0.37 )" "0.04 ( 0.02 )" 8.76 0.24 1.1 2.8 0.04 "compLasso" +500 1000 2 0.96 "1.12 ( 0.04 )" "0.27 ( 0.08 )" "0 ( 0 )" 6.27 0.03 1.12 0.27 0 "compLasso" +1000 1000 1 0.96 "1.16 ( 0.04 )" "0.24 ( 0.07 )" "0 ( 0 )" 6.24 0.03 1.16 0.24 0 "compLasso" diff --git a/simulations/results_summary/table_toe_all.txt b/simulations/results_summary/table_toe_all.txt new file mode 100644 index 0000000..4bfa30c --- /dev/null +++ b/simulations/results_summary/table_toe_all.txt @@ -0,0 +1,321 @@ +"N" "P" "Corr" "Ratio" "Stab" "MSE" "FP" "FN" "num_select" "FDR" "MSE_mean" "FP_mean" "FN_mean" "method" +50 50 0.1 1 0.36 "0.62 ( 0.04 )" "8.59 ( 0.46 )" "0.02 ( 0.01 )" 13.57 0.51 0.62 8.59 0.02 "lasso" +100 50 0.1 0.5 0.47 "0.37 ( 0.01 )" "6.3 ( 0.43 )" "0 ( 0 )" 11.3 0.4 0.37 6.3 0 "lasso" +500 50 0.1 0.1 0.73 "0.28 ( 0 )" "2.88 ( 0.21 )" "0 ( 0 )" 7.88 0.2 0.28 2.88 0 "lasso" +1000 50 0.1 0.05 0.89 "0.27 ( 0 )" "1.66 ( 0.11 )" "0 ( 0 )" 6.66 0.08 0.27 1.66 0 "lasso" +50 100 0.1 2 0.32 "0.67 ( 0.05 )" "11.84 ( 0.4 )" "0 ( 0 )" 16.84 0.62 0.67 11.8 0 "lasso" +100 100 0.1 1 0.44 "0.4 ( 0.01 )" "7.71 ( 0.56 )" "0 ( 0 )" 12.71 0.46 0.4 7.71 0 "lasso" +500 100 0.1 0.2 0.7 "0.27 ( 0 )" "3.35 ( 0.22 )" "0 ( 0 )" 8.35 0.23 0.27 3.35 0 "lasso" +1000 100 0.1 0.1 0.81 "0.27 ( 0 )" "2.29 ( 0.23 )" "0 ( 0 )" 7.29 0.13 0.27 2.29 0 "lasso" +50 500 0.1 10 0.18 "1.61 ( 0.1 )" "20.85 ( 0.38 )" "0.69 ( 0.08 )" 25.16 0.78 1.61 20.8 0.69 "lasso" +100 500 0.1 5 0.3 "0.53 ( 0.02 )" "14.69 ( 0.7 )" "0 ( 0 )" 19.69 0.66 0.53 14.6 0 "lasso" +500 500 0.1 1 0.55 "0.28 ( 0 )" "5.86 ( 0.51 )" "0 ( 0 )" 10.86 0.36 0.28 5.86 0 "lasso" +1000 500 0.1 0.5 0.78 "0.28 ( 0 )" "2.69 ( 0.21 )" "0 ( 0 )" 7.69 0.17 0.28 2.69 0 "lasso" +50 1000 0.1 20 0.13 "2.23 ( 0.14 )" "24.37 ( 0.39 )" "1.36 ( 0.1 )" 28.01 0.83 2.23 24.3 1.36 "lasso" +100 1000 0.1 10 0.25 "0.57 ( 0.03 )" "18.79 ( 0.7 )" "0 ( 0 )" 23.79 0.73 0.57 18.7 0 "lasso" +500 1000 0.1 2 0.49 "0.28 ( 0 )" "7.08 ( 0.53 )" "0 ( 0 )" 12.08 0.41 0.28 7.08 0 "lasso" +1000 1000 0.1 1 0.7 "0.27 ( 0 )" "3.59 ( 0.33 )" "0 ( 0 )" 8.59 0.23 0.27 3.59 0 "lasso" +50 50 0.3 1 0.35 "0.57 ( 0.03 )" "8.86 ( 0.42 )" "0.05 ( 0.02 )" 13.81 0.53 0.57 8.86 0.05 "lasso" +100 50 0.3 0.5 0.47 "0.36 ( 0.01 )" "6.18 ( 0.36 )" "0 ( 0 )" 11.18 0.41 0.36 6.18 0 "lasso" +500 50 0.3 0.1 0.7 "0.28 ( 0 )" "3.14 ( 0.21 )" "0 ( 0 )" 8.14 0.22 0.28 3.14 0 "lasso" +1000 50 0.3 0.05 0.86 "0.27 ( 0 )" "1.86 ( 0.11 )" "0 ( 0 )" 6.86 0.11 0.27 1.86 0 "lasso" +50 100 0.3 2 0.31 "0.76 ( 0.04 )" "11.12 ( 0.37 )" "0.17 ( 0.04 )" 15.95 0.62 0.76 11.1 0.17 "lasso" +100 100 0.3 1 0.38 "0.41 ( 0.01 )" "9.43 ( 0.53 )" "0 ( 0 )" 14.43 0.54 0.41 9.43 0 "lasso" +500 100 0.3 0.2 0.63 "0.27 ( 0 )" "4.16 ( 0.27 )" "0 ( 0 )" 9.16 0.29 0.27 4.16 0 "lasso" +1000 100 0.3 0.1 0.8 "0.27 ( 0 )" "2.36 ( 0.17 )" "0 ( 0 )" 7.36 0.15 0.27 2.36 0 "lasso" +50 500 0.3 10 0.14 "1.78 ( 0.11 )" "21.4 ( 0.41 )" "1.39 ( 0.1 )" 25.01 0.81 1.78 21.4 1.39 "lasso" +100 500 0.3 5 0.26 "0.53 ( 0.02 )" "16.81 ( 0.77 )" "0.02 ( 0.01 )" 21.79 0.7 0.53 16.8 0.02 "lasso" +500 500 0.3 1 0.55 "0.29 ( 0 )" "5.89 ( 0.51 )" "0 ( 0 )" 10.89 0.36 0.29 5.89 0 "lasso" +1000 500 0.3 0.5 0.69 "0.27 ( 0 )" "3.68 ( 0.32 )" "0 ( 0 )" 8.68 0.25 0.27 3.68 0 "lasso" +50 1000 0.3 20 0.11 "2.21 ( 0.15 )" "25.14 ( 0.35 )" "1.87 ( 0.1 )" 28.27 0.85 2.21 25.1 1.87 "lasso" +100 1000 0.3 10 0.22 "0.61 ( 0.03 )" "21.11 ( 0.75 )" "0.02 ( 0.01 )" 26.09 0.75 0.61 21.1 0.02 "lasso" +500 1000 0.3 2 0.47 "0.28 ( 0 )" "7.69 ( 0.63 )" "0 ( 0 )" 12.69 0.45 0.28 7.69 0 "lasso" +1000 1000 0.3 1 0.58 "0.27 ( 0 )" "5.27 ( 0.46 )" "0 ( 0 )" 10.27 0.33 0.27 5.27 0 "lasso" +50 50 0.5 1 0.35 "0.63 ( 0.04 )" "8.51 ( 0.41 )" "0.17 ( 0.04 )" 13.34 0.53 0.63 8.51 0.17 "lasso" +100 50 0.5 0.5 0.42 "0.37 ( 0.01 )" "7.21 ( 0.33 )" "0.01 ( 0.01 )" 12.2 0.47 0.37 7.21 0.01 "lasso" +500 50 0.5 0.1 0.66 "0.27 ( 0 )" "3.64 ( 0.21 )" "0 ( 0 )" 8.64 0.27 0.27 3.64 0 "lasso" +1000 50 0.5 0.05 0.78 "0.27 ( 0 )" "2.46 ( 0.15 )" "0 ( 0 )" 7.46 0.17 0.27 2.46 0 "lasso" +50 100 0.5 2 0.24 "0.8 ( 0.05 )" "13.21 ( 0.46 )" "0.6 ( 0.07 )" 17.61 0.68 0.8 13.2 0.6 "lasso" +100 100 0.5 1 0.36 "0.44 ( 0.02 )" "10 ( 0.48 )" "0.02 ( 0.01 )" 14.98 0.56 0.44 10 0.02 "lasso" +500 100 0.5 0.2 0.62 "0.29 ( 0 )" "4.39 ( 0.28 )" "0 ( 0 )" 9.39 0.31 0.29 4.39 0 "lasso" +1000 100 0.5 0.1 0.71 "0.27 ( 0 )" "3.24 ( 0.22 )" "0 ( 0 )" 8.24 0.23 0.27 3.24 0 "lasso" +50 500 0.5 10 0.12 "1.73 ( 0.1 )" "21.69 ( 0.32 )" "1.93 ( 0.09 )" 24.76 0.83 1.73 21.6 1.93 "lasso" +100 500 0.5 5 0.23 "0.62 ( 0.03 )" "19.6 ( 0.76 )" "0.16 ( 0.04 )" 24.44 0.74 0.62 19.6 0.16 "lasso" +500 500 0.5 1 0.4 "0.29 ( 0 )" "9.79 ( 0.55 )" "0 ( 0 )" 14.79 0.54 0.29 9.79 0 "lasso" +1000 500 0.5 0.5 0.51 "0.28 ( 0 )" "6.66 ( 0.64 )" "0 ( 0 )" 11.66 0.38 0.28 6.66 0 "lasso" +50 1000 0.5 20 0.09 "2.17 ( 0.13 )" "25.13 ( 0.34 )" "2.69 ( 0.1 )" 27.44 0.88 2.17 25.1 2.69 "lasso" +100 1000 0.5 10 0.19 "0.75 ( 0.03 )" "23.22 ( 0.79 )" "0.26 ( 0.05 )" 27.96 0.78 0.75 23.2 0.26 "lasso" +500 1000 0.5 2 0.39 "0.3 ( 0 )" "10.46 ( 0.63 )" "0 ( 0 )" 15.46 0.54 0.3 10.4 0 "lasso" +1000 1000 0.5 1 0.48 "0.28 ( 0 )" "7.42 ( 0.6 )" "0 ( 0 )" 12.42 0.42 0.28 7.42 0 "lasso" +50 50 0.7 1 0.3 "0.66 ( 0.04 )" "9.27 ( 0.39 )" "0.47 ( 0.06 )" 13.8 0.57 0.66 9.27 0.47 "lasso" +100 50 0.7 0.5 0.39 "0.37 ( 0.01 )" "7.9 ( 0.35 )" "0.05 ( 0.03 )" 12.85 0.5 0.37 7.9 0.05 "lasso" +500 50 0.7 0.1 0.6 "0.27 ( 0 )" "4.38 ( 0.21 )" "0 ( 0 )" 9.38 0.33 0.27 4.38 0 "lasso" +1000 50 0.7 0.05 0.74 "0.27 ( 0 )" "2.84 ( 0.14 )" "0 ( 0 )" 7.84 0.21 0.27 2.84 0 "lasso" +50 100 0.7 2 0.23 "0.8 ( 0.04 )" "11.57 ( 0.53 )" "1.26 ( 0.1 )" 15.31 0.66 0.8 11.5 1.26 "lasso" +100 100 0.7 1 0.31 "0.39 ( 0.01 )" "11.68 ( 0.51 )" "0.1 ( 0.04 )" 16.58 0.61 0.39 11.6 0.1 "lasso" +500 100 0.7 0.2 0.49 "0.28 ( 0 )" "6.56 ( 0.32 )" "0 ( 0 )" 11.56 0.44 0.28 6.56 0 "lasso" +1000 100 0.7 0.1 0.63 "0.27 ( 0 )" "4.24 ( 0.26 )" "0 ( 0 )" 9.24 0.3 0.27 4.24 0 "lasso" +50 500 0.7 10 0.12 "1.37 ( 0.08 )" "19.8 ( 0.33 )" "2.78 ( 0.08 )" 22.02 0.85 1.37 19.8 2.78 "lasso" +100 500 0.7 5 0.19 "0.62 ( 0.03 )" "18.58 ( 0.85 )" "0.88 ( 0.08 )" 22.7 0.75 0.62 18.5 0.88 "lasso" +500 500 0.7 1 0.36 "0.3 ( 0 )" "11.31 ( 0.6 )" "0 ( 0 )" 16.31 0.58 0.3 11.3 0 "lasso" +1000 500 0.7 0.5 0.46 "0.27 ( 0 )" "7.93 ( 0.49 )" "0 ( 0 )" 12.93 0.47 0.27 7.93 0 "lasso" +50 1000 0.7 20 0.09 "1.5 ( 0.08 )" "22.99 ( 0.35 )" "3.2 ( 0.09 )" 24.79 0.88 1.5 22.9 3.2 "lasso" +100 1000 0.7 10 0.14 "0.77 ( 0.04 )" "22.43 ( 0.68 )" "1.45 ( 0.1 )" 25.98 0.82 0.77 22.4 1.45 "lasso" +500 1000 0.7 2 0.3 "0.31 ( 0 )" "14.7 ( 0.84 )" "0 ( 0 )" 19.7 0.65 0.31 14.7 0 "lasso" +1000 1000 0.7 1 0.41 "0.28 ( 0 )" "9.63 ( 0.54 )" "0 ( 0 )" 14.63 0.53 0.28 9.63 0 "lasso" +50 50 0.9 1 0.31 "0.55 ( 0.03 )" "5.65 ( 0.29 )" "2.17 ( 0.13 )" 8.48 0.51 0.55 5.65 2.17 "lasso" +100 50 0.9 0.5 0.38 "0.38 ( 0.02 )" "5.85 ( 0.3 )" "1.03 ( 0.11 )" 9.82 0.45 0.38 5.85 1.03 "lasso" +500 50 0.9 0.1 0.61 "0.28 ( 0 )" "4.34 ( 0.19 )" "0.01 ( 0.01 )" 9.33 0.33 0.28 4.34 0.01 "lasso" +1000 50 0.9 0.05 0.76 "0.27 ( 0 )" "2.71 ( 0.12 )" "0 ( 0 )" 7.71 0.2 0.27 2.71 0 "lasso" +50 100 0.9 2 0.26 "0.6 ( 0.03 )" "7.26 ( 0.35 )" "2.69 ( 0.1 )" 9.57 0.62 0.6 7.26 2.69 "lasso" +100 100 0.9 1 0.31 "0.44 ( 0.01 )" "7.79 ( 0.39 )" "1.51 ( 0.11 )" 11.28 0.57 0.44 7.79 1.51 "lasso" +500 100 0.9 0.2 0.51 "0.29 ( 0 )" "6.45 ( 0.27 )" "0 ( 0 )" 11.45 0.45 0.29 6.45 0 "lasso" +1000 100 0.9 0.1 0.61 "0.27 ( 0 )" "4.72 ( 0.21 )" "0 ( 0 )" 9.72 0.35 0.27 4.72 0 "lasso" +50 500 0.9 10 0.13 "0.81 ( 0.04 )" "13.78 ( 0.36 )" "3.54 ( 0.08 )" 15.24 0.83 0.81 13.7 3.54 "lasso" +100 500 0.9 5 0.18 "0.54 ( 0.02 )" "13.78 ( 0.72 )" "2.58 ( 0.08 )" 16.2 0.76 0.54 13.7 2.58 "lasso" +500 500 0.9 1 0.25 "0.3 ( 0 )" "18.18 ( 0.69 )" "0.03 ( 0.02 )" 23.15 0.72 0.3 18.1 0.03 "lasso" +1000 500 0.9 0.5 0.33 "0.28 ( 0 )" "12.68 ( 0.57 )" "0 ( 0 )" 17.68 0.63 0.28 12.6 0 "lasso" +50 1000 0.9 20 0.08 "0.9 ( 0.05 )" "18.15 ( 0.34 )" "3.92 ( 0.08 )" 19.23 0.89 0.9 18.1 3.92 "lasso" +100 1000 0.9 10 0.16 "0.59 ( 0.02 )" "15.99 ( 0.66 )" "2.88 ( 0.06 )" 18.11 0.81 0.59 15.9 2.88 "lasso" +500 1000 0.9 2 0.2 "0.31 ( 0 )" "24.62 ( 1.01 )" "0.05 ( 0.02 )" 29.57 0.77 0.31 24.6 0.05 "lasso" +1000 1000 0.9 1 0.25 "0.28 ( 0 )" "18.51 ( 0.86 )" "0 ( 0 )" 23.51 0.71 0.28 18.5 0 "lasso" +50 50 0.1 1 0.21 "0.6 ( 0.03 )" "14.72 ( 0.57 )" "0.01 ( 0.01 )" 19.71 0.67 0.6 14.7 0.01 "elnet" +100 50 0.1 0.5 0.23 "0.34 ( 0.01 )" "13.7 ( 0.66 )" "0 ( 0 )" 18.7 0.64 0.34 13.7 0 "elnet" +500 50 0.1 0.1 0.23 "0.26 ( 0 )" "13.59 ( 0.55 )" "0 ( 0 )" 18.59 0.65 0.26 13.5 0 "elnet" +1000 50 0.1 0.05 0.25 "0.26 ( 0 )" "12.64 ( 0.54 )" "0 ( 0 )" 17.64 0.63 0.26 12.6 0 "elnet" +50 100 0.1 2 0.2 "0.69 ( 0.05 )" "19.33 ( 0.67 )" "0 ( 0 )" 24.33 0.73 0.69 19.3 0 "elnet" +100 100 0.1 1 0.22 "0.38 ( 0.01 )" "17.77 ( 0.8 )" "0 ( 0 )" 22.77 0.7 0.38 17.7 0 "elnet" +500 100 0.1 0.2 0.21 "0.26 ( 0 )" "18.57 ( 0.83 )" "0 ( 0 )" 23.57 0.71 0.26 18.5 0 "elnet" +1000 100 0.1 0.1 0.22 "0.26 ( 0 )" "17.23 ( 0.72 )" "0 ( 0 )" 22.23 0.7 0.26 17.2 0 "elnet" +50 500 0.1 10 0.13 "1.74 ( 0.11 )" "29.67 ( 1.23 )" "0.63 ( 0.07 )" 34.04 0.83 1.74 29.6 0.63 "elnet" +100 500 0.1 5 0.16 "0.51 ( 0.02 )" "30.41 ( 1.35 )" "0 ( 0 )" 35.41 0.81 0.51 30.4 0 "elnet" +500 500 0.1 1 0.16 "0.27 ( 0 )" "29.38 ( 1.53 )" "0 ( 0 )" 34.38 0.79 0.27 29.3 0 "elnet" +1000 500 0.1 0.5 0.18 "0.27 ( 0 )" "26.73 ( 1.56 )" "0 ( 0 )" 31.73 0.77 0.27 26.7 0 "elnet" +50 1000 0.1 20 0.09 "2.5 ( 0.16 )" "39.01 ( 2.7 )" "1.34 ( 0.1 )" 42.67 0.87 2.5 39 1.34 "elnet" +100 1000 0.1 10 0.13 "0.57 ( 0.03 )" "39.81 ( 1.68 )" "0 ( 0 )" 44.81 0.85 0.57 39.8 0 "elnet" +500 1000 0.1 2 0.14 "0.27 ( 0 )" "37.88 ( 2.19 )" "0 ( 0 )" 42.88 0.82 0.27 37.8 0 "elnet" +1000 1000 0.1 1 0.16 "0.26 ( 0 )" "31.4 ( 1.69 )" "0 ( 0 )" 36.4 0.8 0.26 31.4 0 "elnet" +50 50 0.3 1 0.21 "0.53 ( 0.03 )" "14.65 ( 0.58 )" "0.03 ( 0.02 )" 19.62 0.67 0.53 14.6 0.03 "elnet" +100 50 0.3 0.5 0.2 "0.34 ( 0.01 )" "14.91 ( 0.58 )" "0 ( 0 )" 19.91 0.67 0.34 14.9 0 "elnet" +500 50 0.3 0.1 0.23 "0.27 ( 0 )" "13.94 ( 0.57 )" "0 ( 0 )" 18.94 0.65 0.27 13.9 0 "elnet" +1000 50 0.3 0.05 0.27 "0.26 ( 0 )" "11.94 ( 0.43 )" "0 ( 0 )" 16.94 0.62 0.26 11.9 0 "elnet" +50 100 0.3 2 0.19 "0.72 ( 0.04 )" "19.67 ( 0.66 )" "0.08 ( 0.03 )" 24.59 0.74 0.72 19.6 0.08 "elnet" +100 100 0.3 1 0.19 "0.38 ( 0.01 )" "20.48 ( 0.85 )" "0 ( 0 )" 25.48 0.74 0.38 20.4 0 "elnet" +500 100 0.3 0.2 0.2 "0.26 ( 0 )" "19.3 ( 0.93 )" "0 ( 0 )" 24.3 0.72 0.26 19.3 0 "elnet" +1000 100 0.3 0.1 0.2 "0.26 ( 0 )" "19 ( 0.86 )" "0 ( 0 )" 24 0.71 0.26 19 0 "elnet" +50 500 0.3 10 0.1 "1.94 ( 0.12 )" "32.52 ( 1.94 )" "1.33 ( 0.1 )" 36.19 0.85 1.94 32.5 1.33 "elnet" +100 500 0.3 5 0.14 "0.51 ( 0.02 )" "34.04 ( 1.37 )" "0.01 ( 0.01 )" 39.03 0.83 0.51 34 0.01 "elnet" +500 500 0.3 1 0.16 "0.28 ( 0 )" "30.92 ( 1.44 )" "0 ( 0 )" 35.92 0.8 0.28 30.9 0 "elnet" +1000 500 0.3 0.5 0.16 "0.26 ( 0 )" "30.61 ( 1.55 )" "0 ( 0 )" 35.61 0.79 0.26 30.6 0 "elnet" +50 1000 0.3 20 0.08 "2.46 ( 0.17 )" "35.99 ( 1.99 )" "1.83 ( 0.1 )" 39.16 0.88 2.46 35.9 1.83 "elnet" +100 1000 0.3 10 0.12 "0.6 ( 0.03 )" "43.92 ( 1.49 )" "0.01 ( 0.01 )" 48.91 0.86 0.6 43.9 0.01 "elnet" +500 1000 0.3 2 0.13 "0.28 ( 0 )" "38.46 ( 2.16 )" "0 ( 0 )" 43.46 0.84 0.28 38.4 0 "elnet" +1000 1000 0.3 1 0.13 "0.27 ( 0 )" "38.29 ( 2.09 )" "0 ( 0 )" 43.29 0.83 0.27 38.2 0 "elnet" +50 50 0.5 1 0.2 "0.57 ( 0.04 )" "14.64 ( 0.66 )" "0.09 ( 0.03 )" 19.55 0.66 0.57 14.6 0.09 "elnet" +100 50 0.5 0.5 0.21 "0.33 ( 0.01 )" "14.76 ( 0.55 )" "0 ( 0 )" 19.76 0.67 0.33 14.7 0 "elnet" +500 50 0.5 0.1 0.23 "0.26 ( 0 )" "13.76 ( 0.51 )" "0 ( 0 )" 18.76 0.66 0.26 13.7 0 "elnet" +1000 50 0.5 0.05 0.23 "0.26 ( 0 )" "13.4 ( 0.49 )" "0 ( 0 )" 18.4 0.65 0.26 13.4 0 "elnet" +50 100 0.5 2 0.17 "0.8 ( 0.04 )" "20.05 ( 0.68 )" "0.34 ( 0.06 )" 24.71 0.75 0.8 20 0.34 "elnet" +100 100 0.5 1 0.17 "0.41 ( 0.02 )" "21.92 ( 0.83 )" "0 ( 0 )" 26.92 0.76 0.41 21.9 0 "elnet" +500 100 0.5 0.2 0.2 "0.27 ( 0 )" "18.97 ( 0.78 )" "0 ( 0 )" 23.97 0.72 0.27 18.9 0 "elnet" +1000 100 0.5 0.1 0.2 "0.26 ( 0 )" "19.53 ( 0.66 )" "0 ( 0 )" 24.53 0.74 0.26 19.5 0 "elnet" +50 500 0.5 10 0.09 "1.86 ( 0.11 )" "29.92 ( 1.25 )" "1.88 ( 0.1 )" 33.04 0.86 1.86 29.9 1.88 "elnet" +100 500 0.5 5 0.13 "0.59 ( 0.02 )" "37.33 ( 1.25 )" "0.07 ( 0.03 )" 42.26 0.85 0.59 37.3 0.07 "elnet" +500 500 0.5 1 0.13 "0.28 ( 0 )" "37.1 ( 1.54 )" "0 ( 0 )" 42.1 0.83 0.28 37.1 0 "elnet" +1000 500 0.5 0.5 0.13 "0.27 ( 0 )" "36.71 ( 1.5 )" "0 ( 0 )" 41.71 0.83 0.27 36.7 0 "elnet" +50 1000 0.5 20 0.07 "2.33 ( 0.14 )" "35.29 ( 1.69 )" "2.53 ( 0.1 )" 37.76 0.9 2.33 35.2 2.53 "elnet" +100 1000 0.5 10 0.11 "0.73 ( 0.03 )" "44.83 ( 1.58 )" "0.18 ( 0.05 )" 49.65 0.87 0.73 44.8 0.18 "elnet" +500 1000 0.5 2 0.12 "0.29 ( 0 )" "42.86 ( 2.28 )" "0 ( 0 )" 47.86 0.85 0.29 42.8 0 "elnet" +1000 1000 0.5 1 0.13 "0.27 ( 0 )" "41.01 ( 1.99 )" "0 ( 0 )" 46.01 0.84 0.27 41 0 "elnet" +50 50 0.7 1 0.18 "0.6 ( 0.04 )" "15.25 ( 0.54 )" "0.25 ( 0.05 )" 20 0.69 0.6 15.2 0.25 "elnet" +100 50 0.7 0.5 0.2 "0.35 ( 0.01 )" "15.66 ( 0.62 )" "0 ( 0 )" 20.66 0.69 0.35 15.6 0 "elnet" +500 50 0.7 0.1 0.24 "0.26 ( 0 )" "13.41 ( 0.46 )" "0 ( 0 )" 18.41 0.65 0.26 13.4 0 "elnet" +1000 50 0.7 0.05 0.26 "0.26 ( 0 )" "12.18 ( 0.6 )" "0 ( 0 )" 17.18 0.61 0.26 12.1 0 "elnet" +50 100 0.7 2 0.15 "0.81 ( 0.04 )" "19.25 ( 0.81 )" "0.79 ( 0.09 )" 23.46 0.75 0.81 19.2 0.79 "elnet" +100 100 0.7 1 0.18 "0.36 ( 0.01 )" "21.79 ( 0.78 )" "0.01 ( 0.01 )" 26.78 0.76 0.36 21.7 0.01 "elnet" +500 100 0.7 0.2 0.18 "0.27 ( 0 )" "21.43 ( 0.75 )" "0 ( 0 )" 26.43 0.75 0.27 21.4 0 "elnet" +1000 100 0.7 0.1 0.21 "0.26 ( 0 )" "18.91 ( 0.6 )" "0 ( 0 )" 23.91 0.73 0.26 18.9 0 "elnet" +50 500 0.7 10 0.09 "1.48 ( 0.09 )" "27.19 ( 0.95 )" "2.71 ( 0.08 )" 29.48 0.88 1.48 27.1 2.71 "elnet" +100 500 0.7 5 0.11 "0.6 ( 0.02 )" "37.9 ( 1.54 )" "0.51 ( 0.07 )" 42.39 0.86 0.6 37.9 0.51 "elnet" +500 500 0.7 1 0.13 "0.29 ( 0 )" "38.11 ( 1.41 )" "0 ( 0 )" 43.11 0.84 0.29 38.1 0 "elnet" +1000 500 0.7 0.5 0.13 "0.27 ( 0 )" "38.16 ( 1.26 )" "0 ( 0 )" 43.16 0.85 0.27 38.1 0 "elnet" +50 1000 0.7 20 0.06 "1.66 ( 0.09 )" "35.91 ( 1.86 )" "3.03 ( 0.09 )" 37.88 0.91 1.66 35.9 3.03 "elnet" +100 1000 0.7 10 0.09 "0.78 ( 0.04 )" "39.69 ( 1.62 )" "1.11 ( 0.1 )" 43.58 0.88 0.78 39.6 1.11 "elnet" +500 1000 0.7 2 0.11 "0.3 ( 0 )" "49.45 ( 1.98 )" "0 ( 0 )" 54.45 0.87 0.3 49.4 0 "elnet" +1000 1000 0.7 1 0.11 "0.27 ( 0 )" "48.15 ( 1.76 )" "0 ( 0 )" 53.15 0.87 0.27 48.1 0 "elnet" +50 50 0.9 1 0.16 "0.5 ( 0.02 )" "13.26 ( 0.77 )" "1.03 ( 0.11 )" 17.23 0.66 0.5 13.2 1.03 "elnet" +100 50 0.9 0.5 0.21 "0.35 ( 0.01 )" "14 ( 0.69 )" "0.27 ( 0.06 )" 18.73 0.66 0.35 14 0.27 "elnet" +500 50 0.9 0.1 0.29 "0.27 ( 0 )" "11.63 ( 0.41 )" "0 ( 0 )" 16.63 0.62 0.27 11.6 0 "elnet" +1000 50 0.9 0.05 0.29 "0.26 ( 0 )" "12.06 ( 0.52 )" "0 ( 0 )" 17.06 0.62 0.26 12 0 "elnet" +50 100 0.9 2 0.15 "0.56 ( 0.03 )" "15.35 ( 0.8 )" "1.83 ( 0.12 )" 18.52 0.75 0.56 15.3 1.83 "elnet" +100 100 0.9 1 0.18 "0.4 ( 0.02 )" "18.69 ( 0.92 )" "0.41 ( 0.07 )" 23.28 0.73 0.4 18.6 0.41 "elnet" +500 100 0.9 0.2 0.23 "0.27 ( 0 )" "17.36 ( 0.62 )" "0 ( 0 )" 22.36 0.71 0.27 17.3 0 "elnet" +1000 100 0.9 0.1 0.26 "0.26 ( 0 )" "16.05 ( 0.62 )" "0 ( 0 )" 21.05 0.69 0.26 16 0 "elnet" +50 500 0.9 10 0.08 "0.88 ( 0.04 )" "25.11 ( 1.93 )" "3.23 ( 0.08 )" 26.88 0.87 0.88 25.1 3.23 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"0.01 ( 0.01 )" 10.47 0.39 0.33 4.48 0.01 "compLasso" diff --git a/simulations/sim_data_generation/run_sim_block.sh b/simulations/sim_data_generation/run_sim_block.sh new file mode 100755 index 0000000..91f6480 --- /dev/null +++ b/simulations/sim_data_generation/run_sim_block.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N sim_block +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=4 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript sim_dat_block.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/sim_data_generation/run_sim_ind_toe.sh b/simulations/sim_data_generation/run_sim_ind_toe.sh new file mode 100755 index 0000000..0ed6be0 --- /dev/null +++ b/simulations/sim_data_generation/run_sim_ind_toe.sh @@ -0,0 +1,27 @@ +#!/bin/bash + +#PBS -N sim_ind_toe +#PBS -l walltime=500:00:00 +#PBS -l nodes=1:ppn=4 +#PBS -l mem=50gb +#PBS -V +#PBS -j oe +#PBS -d . + +set -e +cpus=$PBS_NUM_PPN + +export TMPDIR=/panfs/panfs1.ucsd.edu/panscratch/$USER/Stability_2020 +[ ! -d $TMPDIR ] && mkdir $TMPDIR +export TMPDIR=$TMPDIR/sim_data +[ ! -d $TMPDIR ] && mkdir $TMPDIR +#tmp=$(mktemp -d --tmpdir) +#export TMPDIR=$tmp +#trap "rm -r $tmp; unset TMPDIR" EXIT + +# do something +source activate r-env +Rscript sim_dat_ind_toeplitz.R $TMPDIR +source deactivate r-env + +#mv $tmp/outdir ./outdir diff --git a/simulations/sim_data_generation/sim_dat_block.R b/simulations/sim_data_generation/sim_dat_block.R new file mode 100644 index 0000000..3f18e5f --- /dev/null +++ b/simulations/sim_data_generation/sim_dat_block.R @@ -0,0 +1,82 @@ +######################################################################## +### simulate data with Toeplitz correlation structure ################## +######################################################################## +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] + +library(MASS) + +## different size of P (number of features) & N (number of samples) +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +B = 5 # number of blocks +corr = 0.09 # across-block correlation (decrease from 0.1 to 0.09 to ensure positive definteness + +### three different levels of correlation strength ### +rou.list = seq(0.1, 0.9, 0.2) + + +set.seed(31) +rep = 100 + + +for (rou in rou.list){ + print(paste('rou', rou)) + for (dim in dim.list){ + print(dim) + + sim_array = NULL + for (b in 1:rep){ + n = dim[2] + p = dim[1] + + # construct covariate matrix X + theta = vector(mode='numeric', length=p) + theta[1:5] = rep(log(0.5*p), 5) + theta[6:p] = rep(0, p-5) + + # block design covariance + Sigma = matrix(rep(0, p*p), nrow=p) + for (i in 1:p){ + for (j in 1:p){ + if (i == j){Sigma[i, j] = rou} + if (i !=j & (i-j) %% (p/B) == 0) {Sigma[i, j] = corr} + } + } + + W = mvrnorm(n = n, mu=theta, Sigma=Sigma) + X = matrix(rep(0, n*p), nrow=n) + for (i in 1:n){ + for (j in 1:p){ + X[i, j] = exp(W[i, j]) / sum(exp(W[i, ])) + } + } + + # construct response Y + # beta: if 5 blocks, each block has one true signal, while the last block has two true signals + beta = rep(0, p) + beta[p/B] = 1; beta[p/B * 2] = -0.8; beta[p/B*3] = 0.6; + beta[p/B*4] = - 1.5; beta[c(p/B*5-1, p/B*5)] = c(-0.5, 1.2) + + Z = log(X) + sigma = 0.5 + epsilon = rnorm(n=n, mean=0, sd=sigma) + Y = Z %*% beta + epsilon + + sim_array[[b]] = list(rep_idx=b, rou=rou, p=p, n=n, W=W, X=X, Z=Z, beta=beta, sigma=sigma, Y=Y) + + save(file=paste0(dir, '/sim_block_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''), sim_array) + } + } +} + + diff --git a/simulations/sim_data_generation/sim_dat_ind_toeplitz.R b/simulations/sim_data_generation/sim_dat_ind_toeplitz.R new file mode 100644 index 0000000..1e51d16 --- /dev/null +++ b/simulations/sim_data_generation/sim_dat_ind_toeplitz.R @@ -0,0 +1,80 @@ +###################################################################################### +### simulate data with Independent & Toeplitz correlation structure ################## +###################################################################################### +args = commandArgs(trailingOnly=TRUE) +print(args) +dir = args[1] + + +library(MASS) + +## different size of P (number of features) & N (number of samples) +dim.list = list() +size = c(50, 100, 500, 1000) +idx = 0 +for (P in size){ + for (N in size){ + idx = idx + 1 + dim.list[[idx]] = c(P=P, N=N) + } +} + +## correlation strength +rou.list = c(0, seq(0.1, 0.9, 0.2)) # corr = 0 indicates independent; the others for Toeplitz + + +set.seed(31) +rep = 100 # number of replicates for simulated data + +for (rou in rou.list){ + print(paste('rou', rou)) + for (dim in dim.list){ + print(dim) + + sim_array = NULL + for (b in 1:rep){ + #print(paste('b', b)) + + p = dim[1] + n = dim[2] + + # construct covariate matrix X + theta = vector(mode='numeric', length=p) + theta[1:5] = rep(log(0.5*p), 5) + theta[6:p] = rep(0, p-5) + + Sigma = matrix(rep(0, p*p), nrow=p) + for (i in 1:p){ + for (j in 1:p){ + Sigma[i, j] = rou^abs(i-j) + } + } + + W = mvrnorm(n = n, mu=theta, Sigma=Sigma) + X = matrix(rep(0, n*p), nrow=n) + for (i in 1:n){ + for (j in 1:p){ + X[i, j] = exp(W[i, j]) / sum(exp(W[i, ])) + } + } + + # construct response Y + beta = c(c(1, -0.8, 0.6, 0, 0, -1.5, -0.5, 1.2), rep(0, p-8)) + Z = log(X) + sigma = 0.5 + epsilon = rnorm(n=n, mean=0, sd=sigma) + Y = Z %*% beta + epsilon + + sim_array[[b]] = list(rep_idx=b, rou=rou, p=p, n=n, W=W, X=X, Z=Z, beta=beta, sigma=sigma, Y=Y) + + if (rou == 0){ + save(file=paste0(dir, '/sim_independent_', paste('P', p, 'N', n, sep='_'), '.RData'), sim_array) + + } else { + save(file=paste0(dir, '/sim_toeplitz_corr', rou, paste('P', p, 'N', n, sep='_'), '.RData', sep=''), sim_array) + } + + } + } +} +
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