{ "cells": [ { "cell_type": "markdown", "id": "68f70273", "metadata": {}, "source": [ "# Fit data over a grid of parameters\n", "1. Load a data-set\n", "2. Find the best-fit\n", "3. Determine $\\chi^2$ of a 1D grid of parameters\n", "4. Determine $\\chi^2$ over a grid of 2 parameters\n", "5. Plot the contours of $\\chi^2$ over that grid, and compare the 1D and 2D confidence regions" ] }, { "cell_type": "code", "execution_count": 3, "id": "b322d99d", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/plain": [ "1" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import astropy.units as u\n", "import numpy as np\n", "import copy\n", "\n", "import pint.config\n", "import pint.gridutils\n", "import pint.models.parameter as param\n", "import pint.residuals\n", "from pint.fitter import WLSFitter\n", "from pint.models.model_builder import get_model, get_model_and_toas\n", "from pint.toa import get_TOAs\n", "import matplotlib.pyplot as plt\n", "from astropy.visualization import quantity_support\n", "import pint.logging\n", "\n", "quantity_support()\n", "import scipy.stats\n", "\n", "%matplotlib inline\n", "\n", "pint.logging.setup(level='WARNING')" ] }, { "cell_type": "code", "execution_count": 4, "id": "e14a235f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[33m\u001b[1mWARNING \u001b[0m (pint.toa ): \u001b[33m\u001b[1mCLOCK = UTC(NIST) is not implemented. Using TT(BIPM2021) instead.\u001b[0m\n", "\u001b[33m\u001b[1mWARNING \u001b[0m (pint.toa ): \u001b[33m\u001b[1mUnknown command MODE in line MODE 1\n", "\u001b[0m\n" ] } ], "source": [ "# Load in a basic dataset\n", "parfile = pint.config.examplefile(\"NGC6440E.par\")\n", "timfile = pint.config.examplefile(\"NGC6440E.tim\")\n", "m, t = get_model_and_toas(parfile, timfile)\n", "\n", "f = WLSFitter(t, m)\n", "# find the best-fit\n", "f.fit_toas()\n", "bestfit = f.resids.chi2" ] }, { "cell_type": "markdown", "id": "c366b099", "metadata": {}, "source": [ "What are the free parameters?" ] }, { "cell_type": "code", "execution_count": 5, "id": "e756b824", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "['RAJ', 'DECJ', 'F0', 'F1', 'DM']" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.model.free_params" ] }, { "cell_type": "markdown", "id": "c4877472", "metadata": {}, "source": [ "So we were fitting for RA, Dec, $F0$, $F1$, and $DM$.\n", "\n", "We'll do something like 3-sigma around the best-fit value of $F0$, fitting for RA, Dec, $F1$ and $DM$ at each grid point." ] }, { "cell_type": "markdown", "id": "1d233f57", "metadata": {}, "source": [ "## 1D Grid" ] }, { "cell_type": "code", "execution_count": 6, "id": "5e39a443", "metadata": {}, "outputs": [], "source": [ "F0 = np.linspace(\n", " f.model.F0.quantity - 3 * f.model.F0.uncertainty,\n", " f.model.F0.quantity + 3 * f.model.F0.uncertainty,\n", " 25,\n", ")" ] }, { "cell_type": "code", "execution_count": 7, "id": "8e1322d7", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/25 [00:00" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# We can now just do a quick plot to look at the results\n", "fig, ax = plt.subplots(figsize=(16, 9))\n", "ax.plot(F0 - f.model.F0.quantity, chi2_F0, label=\"$\\chi^2$ curve\")\n", "ax.set_xlabel(\"$\\Delta F_0$ (Hz)\", fontsize=24)\n", "ax.set_ylabel(\"$\\chi^2$\", fontsize=24)" ] }, { "cell_type": "code", "execution_count": 9, "id": "d1799868", "metadata": {}, "outputs": [], "source": [ "# We can go a little further.\n", "# For instance, we can find the uncertainty by looking where Delta chi^2=1\n", "F0_delta_chi2 = np.interp(\n", " 1,\n", " chi2_F0[F0 >= f.model.F0.quantity] - chi2_F0.min(),\n", " F0[F0 >= f.model.F0.quantity].astype(np.float64),\n", ")" ] }, { "cell_type": "code", "execution_count": 10, "id": "1403288f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(16, 9))\n", "# just plot the values offset from the best-fit values\n", "ax.plot(F0 - f.model.F0.quantity, chi2_F0, label=\"$\\chi^2$ curve\")\n", "ax.plot(0, chi2_F0.min(), \"ro\", markersize=12, label=\"Minimum $\\chi^2$\")\n", "ax.plot((f.model.F0.uncertainty) * np.ones(2), [59, 69], \"r:\", label=\"Uncertainty\")\n", "ax.plot((-f.model.F0.uncertainty) * np.ones(2), [59, 69], \"r:\")\n", "ax.plot(\n", " [\n", " F0_delta_chi2 - f.model.F0.quantity,\n", " F0_delta_chi2 - f.model.F0.quantity,\n", " -(F0_delta_chi2 - f.model.F0.quantity),\n", " -(F0_delta_chi2 - f.model.F0.quantity),\n", " ],\n", " [chi2_F0.min(), chi2_F0.min() + 1, chi2_F0.min() + 1, chi2_F0.min()],\n", " \"g--\",\n", " label=\"$\\Delta \\chi^2=1$\",\n", ")\n", "ax.set_xlabel(\"$\\Delta F_0$ (Hz)\", fontsize=24)\n", "ax.set_ylabel(\"$\\chi^2$\", fontsize=24)\n", "ax.set_ylim([59, 69])\n", "ax.legend()" ] }, { "cell_type": "markdown", "id": "1d2b9f7b", "metadata": {}, "source": [ "From the above you can see that the calculated uncertainties on $F0$ from the model fit agree with where $\\Delta \\chi^2=1$, which is what we would expect for a single parameter." ] }, { "cell_type": "markdown", "id": "7a5bf0a4", "metadata": {}, "source": [ "## 2D Grid" ] }, { "cell_type": "markdown", "id": "1957a7dd", "metadata": {}, "source": [ "Now, compute a 2D grid of $\\chi^2(F0,F1)$, so we'll also set up a grid of $F1$ to search over" ] }, { "cell_type": "code", "execution_count": 11, "id": "39d2c25b", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/675 [00:00" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(16, 9))\n", "# just plot the values offset from the best-fit values\n", "twod = ax.contour(\n", " F0 - f.model.F0.quantity,\n", " F1 - f.model.F1.quantity,\n", " chi2grid - bestfit,\n", " levels=contour_levels,\n", " colors=\"b\",\n", ")\n", "oned = ax.contour(\n", " F0 - f.model.F0.quantity,\n", " F1 - f.model.F1.quantity,\n", " chi2grid - bestfit,\n", " levels=contour_levels_1param,\n", " colors=\"g\",\n", " linestyles=\"--\",\n", ")\n", "ax.errorbar(\n", " 0, 0, xerr=f.model.F0.uncertainty.value, yerr=f.model.F1.uncertainty.value, fmt=\"ro\"\n", ")\n", "ax.set_xlabel(\"$\\Delta F_0$ (Hz)\", fontsize=24)\n", "ax.set_ylabel(\"$\\Delta F_1$ (Hz/s)\", fontsize=24)\n", "twod_artists, _ = twod.legend_elements()\n", "oned_artists, _ = oned.legend_elements()\n", "ax.legend(\n", " [twod_artists[0], oned_artists[0]],\n", " [\"Joint 2D fit\", \"Single-parameter Fit\"],\n", " fontsize=18,\n", ")" ] }, { "cell_type": "markdown", "id": "6646e154", "metadata": {}, "source": [ "It's pretty clear that $F0$ and $F1$ are highly (anti)correlated. This can be improved by chosing **PEPOCH**.\n", "\n", "We can look at the correlation matrix explicitly:" ] }, { "cell_type": "code", "execution_count": 15, "id": "7fd7b7e6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "Parameter correlation matrix:\n", " RAJ DECJ DM F0 F1 \n", " RAJ 1.000\n", " DECJ -0.072 1.000\n", " DM -0.005 0.065 1.000\n", " F0 -0.087 0.247 0.007 1.000\n", " F1 0.294 -0.344 0.058\u001b[0m\u001b[49;32m -0.798\u001b[0m 1.000\n" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.parameter_correlation_matrix" ] }, { "cell_type": "markdown", "id": "256ac484", "metadata": {}, "source": [ "We can see that the $(F0,F1)$ is $-0.8$, which agrees (qualitatively) with what we see above." ] }, { "cell_type": "markdown", "id": "803293e2", "metadata": {}, "source": [ "It's also clear that the joint confidence region (solid blue contours) are significantly bigger than the single parameter region (green dashed contours)." ] }, { "cell_type": "markdown", "id": "eb759a1b", "metadata": {}, "source": [ "## Changing PEPOCH" ] }, { "cell_type": "markdown", "id": "7aec7494", "metadata": {}, "source": [ "To have minimal covariance between $F0$ and $F1$, we want PEPOCH to be close to the mean time of the TOAs (ideally the weighted mean). Is it close now?" ] }, { "cell_type": "code", "execution_count": 16, "id": "f7bf3014", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PEPOCH: MJDParameter( PEPOCH 53750.0000000000000000 (d) frozen=True)\n", "Mean TOA: 53891.80222902908 d\n" ] } ], "source": [ "print(f\"PEPOCH: {f.model.PEPOCH}\")\n", "print(f\"Mean TOA: {f.toas.get_mjds().mean()}\")" ] }, { "cell_type": "markdown", "id": "a350c818", "metadata": {}, "source": [ "So they differ by 141 days. Let's change that." ] }, { "cell_type": "code", "execution_count": 17, "id": "640b3751", "metadata": {}, "outputs": [], "source": [ "# keep a copy of our old fit for reference\n", "old_f = copy.deepcopy(f)" ] }, { "cell_type": "code", "execution_count": 18, "id": "a6d78b11", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Old chi^2: 59.574705174097026, new chi^2: 59.57470447779082\n", "Old F0: 61.4854765543725 Hz, new F0: 61.48547653989916 Hz, difference -1272.0252960848732 sigma\n", "Old F1: -1.1813316958072389e-15 Hz / s, new F1: -1.181331692807776e-15 Hz / s, difference 2.0802819179073656e-06 sigma\n" ] } ], "source": [ "f.model.change_pepoch(f.toas.get_mjds().mean())\n", "f.fit_toas()\n", "new_bestfit = f.resids.chi2\n", "print(f\"Old chi^2: {bestfit}, new chi^2: {new_bestfit}\")\n", "print(\n", " f\"Old F0: {old_f.model.F0.quantity}, new F0: {f.model.F0.quantity}, difference {(f.model.F0.quantity - old_f.model.F0.quantity)/f.model.F0.uncertainty} sigma\"\n", ")\n", "print(\n", " f\"Old F1: {old_f.model.F1.quantity}, new F1: {f.model.F1.quantity}, difference {(f.model.F1.quantity - old_f.model.F1.quantity)/f.model.F1.uncertainty} sigma\"\n", ")" ] }, { "cell_type": "markdown", "id": "bbbdde03", "metadata": {}, "source": [ "We see that the overall fit quality ($\\chi^2$) is the same. That's good.\n", "\n", "$F1$ doesn't change. That is expected. But $F0$ does. However, that's mostly just from changing epoch to redefine when $F0$ is evaluated. We can check this by looking at what change we expect for $F0$:" ] }, { "cell_type": "code", "execution_count": 19, "id": "d0da453a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Predicted new F0 - fitted new F0 = -3.0492101325654805e-05 sigma\n" ] } ], "source": [ "print(\n", " f\"Predicted new F0 - fitted new F0 = {(old_f.model.F0.quantity + (f.model.PEPOCH.quantity - old_f.model.PEPOCH.quantity)*f.model.F1.quantity - f.model.F0.quantity)/f.model.F0.uncertainty} sigma\"\n", ")" ] }, { "cell_type": "markdown", "id": "34b38b9f", "metadata": {}, "source": [ "So the change is pretty close to what we expect." ] }, { "cell_type": "code", "execution_count": 20, "id": "630c2de4", "metadata": {}, "outputs": [], "source": [ "# update the grids\n", "new_F0 = np.linspace(\n", " f.model.F0.quantity - 3 * f.model.F0.uncertainty,\n", " f.model.F0.quantity + 3 * f.model.F0.uncertainty,\n", " len(F0),\n", ")\n", "new_F1 = np.linspace(\n", " f.model.F1.quantity - 3 * f.model.F1.uncertainty,\n", " f.model.F1.quantity + 3 * f.model.F1.uncertainty,\n", " len(F1),\n", ")" ] }, { "cell_type": "code", "execution_count": 21, "id": "cac15b42", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " 0%| | 0/675 [00:00" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(16, 9))\n", "# just plot the values offset from the best-fit values\n", "old = ax.contour(\n", " F0 - old_f.model.F0.quantity,\n", " F1 - old_f.model.F1.quantity,\n", " chi2grid - bestfit,\n", " levels=contour_levels,\n", " colors=\"b\",\n", ")\n", "new = ax.contour(\n", " new_F0 - f.model.F0.quantity,\n", " new_F1 - f.model.F1.quantity,\n", " new_chi2grid - bestfit,\n", " levels=contour_levels,\n", " colors=\"k\",\n", " linestyles=\":\",\n", ")\n", "ax.errorbar(\n", " 0, 0, xerr=f.model.F0.uncertainty.value, yerr=f.model.F1.uncertainty.value, fmt=\"ro\"\n", ")\n", "ax.set_xlabel(\"$\\Delta F_0$ (Hz)\", fontsize=24)\n", "ax.set_ylabel(\"$\\Delta F_1$ (Hz/s)\", fontsize=24)\n", "old_artists, _ = old.legend_elements()\n", "new_artists, _ = new.legend_elements()\n", "ax.legend([old_artists[0], new_artists[0]], [\"Old fit\", \"New Fit\"], fontsize=18)" ] }, { "cell_type": "markdown", "id": "93db4d19", "metadata": {}, "source": [ "The new contours (the black) look a lot more \"orthogonal\" than the old ones (the blue). This is because they are less correlated. We can check this more quantitatively by looking at the matrix:" ] }, { "cell_type": "code", "execution_count": 23, "id": "8767d9ff", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "\n", "Parameter correlation matrix:\n", " RAJ DECJ DM F0 F1 \n", " RAJ 1.000\n", " DECJ -0.072 1.000\n", " DM -0.005 0.065 1.000\n", " F0 0.318 -0.141 0.100 1.000\n", " F1 0.294 -0.344 0.058 0.285 1.000\n" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "f.parameter_correlation_matrix" ] }, { "cell_type": "markdown", "id": "7b0a9e2a", "metadata": {}, "source": [ "And we see that now the $(F0,F1)$ element is smaller, $0.29$." ] }, { "cell_type": "code", "execution_count": null, "id": "dda7a68b", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 5 }