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a/docs/_images/Surrogate6_SimUQ.png and /dev/null differ diff --git a/docs/_images/Surrogate_EEUQ1.png b/docs/_images/Surrogate_EEUQ1.png new file mode 100644 index 00000000..af295153 Binary files /dev/null and b/docs/_images/Surrogate_EEUQ1.png differ diff --git a/docs/_images/Surrogate_Hetero.png b/docs/_images/Surrogate_Hetero.png deleted file mode 100644 index 4c8107cf..00000000 Binary files a/docs/_images/Surrogate_Hetero.png and /dev/null differ diff --git a/docs/_sources/common/developer_manual/how_to_build/desktop/how_to_build.rst.txt b/docs/_sources/common/developer_manual/how_to_build/desktop/how_to_build.rst.txt index 06f592d8..0933af28 100644 --- a/docs/_sources/common/developer_manual/how_to_build/desktop/how_to_build.rst.txt +++ b/docs/_sources/common/developer_manual/how_to_build/desktop/how_to_build.rst.txt @@ -17,7 +17,7 @@ Install Dependencies First, ensure the following dependencies are installed: -* **C++17 compliant compiler**: many of the workflow applications included use C++17 features; consequently, they may need a newer C++17 compliant compiler. For Windows users, MSVC in `Visual Studio (Community Edition) `_ can be used. Some extensions of Visual Studio are also needed: Open Visual Studio Installer, go to Installed / More / Modify, under the Workloads tab, check Desktop development with C++ and Visual Studio extension development; under the Individual components tab, check C++ CMake tools for windows. Then click Modify. +* **C++17 compliant compiler**: many of the workflow applications included use C++17 features; consequently, they may need a newer C++17 compliant compiler. For Windows users, MSVC in `Visual Studio 2019 (Community Edition) `_ can be used. Some extensions of Visual Studio are also needed: Open Visual Studio Installer, go to Installed / More / Modify, under the Workloads tab, check Desktop development with C++ and Visual Studio extension development; under the Individual components tab, check C++ CMake tools for windows. Then click Modify. * **OpenSees**: The workflow applications require an installation of `OpenSees `_ to carry out a structural analysis using the finite element method. diff --git a/docs/_sources/common/front-matter/cite.rst.txt b/docs/_sources/common/front-matter/cite.rst.txt index afc6eb20..9519a69e 100644 --- a/docs/_sources/common/front-matter/cite.rst.txt +++ b/docs/_sources/common/front-matter/cite.rst.txt @@ -35,8 +35,8 @@ How To Cite 1. Frank McKenna, Sang-ri Yi, Aakash Bangalore Satish, Kuanshi Zhong, Adam Zsarnoczay, & Wael Elhaddad. (2023). - NHERI-SimCenter/quoFEM: Version 3.3.0 (v3.3.0). Zenodo. https://doi.org/10.5281/zenodo.7786857 - Zenodo: `DOI: 10.5281/zenodo.6404498 `_ + NHERI-SimCenter/quoFEM: Version 3.3.0 (v3.3.0). + Zenodo. `DOI: 10.5281/zenodo.6404498 `_ 2. Gregory G. Deierlein, Frank McKenna, Adam Zsarnóczay, Tracy Kijewski-Correa, Ahsan Kareem, diff --git a/docs/_sources/common/reqments/All-Requirements_allCols.rst.txt b/docs/_sources/common/reqments/All-Requirements_allCols.rst.txt new file mode 100644 index 00000000..d4dd9fe9 --- /dev/null +++ b/docs/_sources/common/reqments/All-Requirements_allCols.rst.txt @@ -0,0 +1,224 @@ +The following is the list of all requirements across all the tools. It is helpful to view an abstract hierarchy of the tools, showing **R2D** at the top and the components at the bottom. Each application pulls in many of the requirements from the others. For Example PBE, builds upon EE-UQ. It has it;'s own requirements, i.e. DL, but includes the loading, modeling and analysis requirements from EE-UQ. It specializes the UQ requirement, in that it only incorporates the sampling option. One set of requirements not shown in the figure is CR, a listing of all the common functionalty required of all the applications. + + +R2D +--- + +.. csv-filter:: Requirements - R2D + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: R2D.csv + +.. include:: key.rst + +PBE +--- + +.. csv-filter:: Requirements - PBE + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: generalPBE.csv + +.. include:: key.rst + +WE-UQ Requirements +------------------ + +.. csv-filter:: Requirements - WE + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: generalWE.csv + +.. include:: key.rst + + +Hydro-UQ Requirements +--------------------- + +.. csv-filter:: Requirements - H + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: generalHydro.csv + +.. include:: key.rst + + +EE-UQ Requirements +------------------ + +.. csv-filter:: Requirements - EE + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: generalEEUQ.csv + +.. include:: key.rst + +quoFEM Requirements +------------------- + +.. csv-filter:: Requirements - QF + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :file: generalQUO-FEM.csv + +.. include:: key.rst + + +Earthquake Loading Requirements +------------------------------- + +.. csv-filter:: Requirements - EL + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Loading.csv + :include: {0: 'EL\..*'} + +.. include:: key.rst + + +Wind Loading Requirements +------------------------- + +.. csv-filter:: Requirements - WL + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Loading.csv + :include: {0: 'WL\..*'} + +.. include:: key.rst + +Surge/Tsunami Loading Requirements +---------------------------------- + +.. csv-filter:: Requirements - HL + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10 + :included_cols: 0, 1, 2, 3, 4 + :file: HydroLoading.csv + +.. include:: key.rst + +UQ Requirements +--------------- + +.. csv-filter:: Requirements - Uncertainty Quantification Methods and Variables + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Uncertainty.csv + + +.. include:: key.rst + + +RV Requirements +--------------- + +.. csv-filter:: Requirements - Random Variables + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/RandomVariables.csv + +.. include:: key.rst + + +Modeling Requirements +--------------------- + +.. csv-filter:: Requirements - MOD + :header: "#", "Description", "Source", "Priority", "Status" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Modeling.csv + +.. include:: key.rst + +Analysis Requirements +--------------------- + +.. csv-filter:: Requirements - ANA + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Analysis.csv + +.. include:: key.rst + + +Damage & Loss Requirements +-------------------------- + +.. csv-filter:: Requirements - DL + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Damage.csv + :include: {0: 'DL\..*'} + +.. include:: key.rst + + +Recovery Requirements +--------------------- + +.. csv-filter:: Requirements - REC + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Recovery.csv + +.. include:: key.rst + + +Common Research Application Requirements +---------------------------------------- + +.. csv-filter:: Requirements - CR + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Common.csv + +.. include:: key.rst + + +BRAILS +------ + +.. csv-filter:: Requirements - BR + :header: "#", "Description", "Source", "Priority", "Status", "WBS" + :widths: 10, 50, 10, 10, 10, 10 + :file: BRAILS.csv + +.. include:: key.rst + + +PELICUN +------- + +.. csv-filter:: Requirements - P + :header: "#", "Description", "Source", "Priority", "Status", "WBS" + :widths: 10, 50, 10, 10, 10, 10 + :file: requirements_pelicun_general.csv + +.. include:: key.rst + +BE Database +----------- + +.. csv-filter:: Requirements - BE + :header: "#", "Description", "Source", "Priority", "Status", "WBS" + :widths: 10, 50, 10, 10, 10, 10 + :file: BE.csv + +.. include:: key.rst + +DL Database +----------- + + +.. csv-filter:: Requirements - DLD + :header: "#", "Description", "Source", "Priority", "Status", "quoFEM", "EE-UQ", "WE-UQ", "PBE", "R2D" + :widths: 10, 50, 10, 10, 10, 10, 10, 10, 10, 10, 10 + :file: _out/Damage.csv + :include: {0: 'DLD.*'} + +.. include:: key.rst + + + + diff --git a/docs/_sources/common/reqments/key.rst.txt b/docs/_sources/common/reqments/key.rst.txt index 754deeff..868800d6 100644 --- a/docs/_sources/common/reqments/key.rst.txt +++ b/docs/_sources/common/reqments/key.rst.txt @@ -2,3 +2,6 @@ | Source: GC=Needed for Grand Challenges, SP=Senior Personnel, UF=User Feedback | Priority: M=Mandatory, D=Desirable, P=Possible Future | Status: Implements, InProgress and Blank (i.e. not started) +| +| +| diff --git a/docs/_sources/common/reqments/reqPelicun.rst.txt b/docs/_sources/common/reqments/reqPelicun.rst.txt index 8a76cd2e..59ea4984 100644 --- a/docs/_sources/common/reqments/reqPelicun.rst.txt +++ b/docs/_sources/common/reqments/reqPelicun.rst.txt @@ -26,8 +26,8 @@ General ------- .. csv-table:: Requirements - General - :header: "#", "Description", "Source", "Priority", "Version" - :widths: 10, 60, 10, 10, 10 + :header: "#", "Description", "Source", "Priority", "Version", "WBS" + :widths: 10, 60, 10, 10, 10, 10 :file: requirements_pelicun_general.csv .. include:: key.rst @@ -36,8 +36,8 @@ Databases & Files ----------------- .. csv-table:: Requirements - Databases & Files - :header: "#", "Description", "Source", "Priority", "Version" - :widths: 10, 60, 10, 10, 10 + :header: "#", "Description", "Source", "Priority", "Version", "WBS" + :widths: 10, 60, 10, 10, 10, 10 :file: requirements_pelicun_db.csv .. include:: key.rst diff --git a/docs/_sources/common/technical_manual/desktop/SimCenterUQTechnical.rst.txt b/docs/_sources/common/technical_manual/desktop/SimCenterUQTechnical.rst.txt index 3bd356d4..7fd92128 100644 --- a/docs/_sources/common/technical_manual/desktop/SimCenterUQTechnical.rst.txt +++ b/docs/_sources/common/technical_manual/desktop/SimCenterUQTechnical.rst.txt @@ -130,9 +130,8 @@ Aggregated sensitivity index When the quantities of interest (QoI) are given as a vector or field variable, aggregated sensitivity index can provide insight into the system's overall sensitivity characteristics. The aggregated sensitivity index achieves this by calculating the weighted average of the sensitivity indices of each QoI component, where the weights are proportional to the variances of the components [Jung2022]_. Component sensitivity indices are useful for visualization, while the aggregated sensitivity index gives instant intuition on how much each variable influences the system response overall. See :ref:`this example`. - .. [Jung2022] - To be added + Jung, W., & Taflanidis, A. A. (2023). Efficient global sensitivity analysis for high-dimensional outputs combining data-driven probability models and dimensionality reduction. *Reliability Engineering & System Safety*, 231, 108805. Global surrogate modeling @@ -220,43 +219,61 @@ Dealing with noisy measurements - Construction of surrogate model --------------------------------- Input-Output settings ^^^^^^^^^^^^^^^^^^^^^ -+-----------+----------------------------------------------------------+-------------------------------------------+ -| | Input (RV) type | Output (QoI) type | -+===========+==========================================================+===========================================+ -| **Case1** | Adaptive Design of Experiments (DoE) : | Simulator : | -| | | | -| | a bounded variable space of :math:`\boldsymbol{x}` | :math:`\boldsymbol{y}=f(\boldsymbol{x})` | -+-----------+------------------------------------------+---------------+-------------------------------------------+ -| **Case2** | Data set : | Simulator : | -| | | | -| | {:math:`\boldsymbol{x_1,x_2, ... ,x_N}`} | :math:`\boldsymbol{y}=f(\boldsymbol{x})` | -+-----------+----------------------------------------------------------+-------------------------------------------+ -| **Case3** | Data set : | Data set : | -| | | | -| | {:math:`\boldsymbol{x_1,x_2, ... ,x_N}`} | {:math:`\boldsymbol{y_1,y_2, ... ,y_N}`} | -+-----------+----------------------------------------------------------+-------------------------------------------+ +.. only:: quoFEM_app + + +-----------+----------------------------------------------------------+-------------------------------------------+ + | | Input (RV) type | Output (QoI) type | + +===========+==========================================================+===========================================+ + | **Case1** | Adaptive Design of Experiments (DoE) : | Simulator : | + | | | | + | | a bounded variable space of :math:`\boldsymbol{x}` | :math:`\boldsymbol{y}=f(\boldsymbol{x})` | + +-----------+------------------------------------------+---------------+-------------------------------------------+ + | **Case2** | Data set : | Simulator : | + | | | | + | | {:math:`\boldsymbol{x_1,x_2, ... ,x_N}`} | :math:`\boldsymbol{y}=f(\boldsymbol{x})` | + +-----------+----------------------------------------------------------+-------------------------------------------+ + | **Case3** | Data set : | Data set : | + | | | | + | | {:math:`\boldsymbol{x_1,x_2, ... ,x_N}`} | {:math:`\boldsymbol{y_1,y_2, ... ,y_N}`} | + +-----------+----------------------------------------------------------+-------------------------------------------+ + +.. only:: EEUQ_app + + +-----------+----------------------------------------------------------+-------------------------------------------+ + | | Input (RV) type | Output (QoI) type | + +===========+==========================================================+===========================================+ + | **Case1** | Adaptive Design of Experiments (DoE) : | Simulator : | + | | | | + | | a bounded variable space of :math:`\boldsymbol{x}` | :math:`\boldsymbol{y}=f(\boldsymbol{x})` | + +-----------+------------------------------------------+---------------+-------------------------------------------+ + + +.. only:: quoFEM_app + + User have the following options: + + * **Case1** : users can provide a range of input variables (bounds) and a simulation model. After initial space-filling phase using Latin hypercube sampling (LHS), **adaptive design of experiment (DoE)** is activated. Given current predictions, the next optimal simulation point is optimized such that expected gain is maximized. + * **Case2** : users can provide pairs of input-output dataset + * **Case3** : users can provide input data points and a simulation model -User have the following options: +.. only:: EEUQ_app -* **Case1** : users can provide a range of input variables (bounds) and a simulation model. After initial space-filling phase using Latin hypercube sampling (LHS), **adaptive design of experiment (DoE)** is activated. Given current predictions, the next optimal simulation point is optimized such that expected gain is maximized. -* **Case2** : users can provide pairs of input-output dataset -* **Case3** : users can provide input data points and a simulation model + User have the following option: + * **Case1** : users can provide a range of input variables (bounds) and a simulation model. After initial space-filling phase using Latin hypercube sampling (LHS), **adaptive design of experiment (DoE)** is activated. Given current predictions, the next optimal simulation point is optimized such that expected gain is maximized. Kernel and basis functions ^^^^^^^^^^^^^^^^^^^^^^^^^^^ The covariance kernel of the outcome process is unknown in most practical applications. Therefore, the mathematical form of the kernel is first assumed, and its parameters are calibrated based on the observation data. Followings are some of the popular stationary covariance kernels. - * **Radial-basis function (RBF)** | Radial-basis function, also known as squared-exponential or Gaussian kernel, is one of the most widely used covariance kernel. @@ -316,63 +333,68 @@ Once the kernel form is selected, the parameters are calibrated to maximize the Adaptive Design of Experiments (DoE) ------------------------------------- -In the case where bounds of input variables and a simulator model is provided (Case 1), model evaluation points can be selected by space-filling methods, e.g. Latin hyper cube sampling (LHS). This is non-adaptive Design of Experiments (DoE) in a sense that the whole samples can be located before running any simulations. On the other hand, the number of model evaluations can be reduced by selecting evaluation points *adaptively* after each run to get the best model improvements. +.. only:: quoFEM_app -.. _figGP_DoE1: + In the case where bounds of input variables and a simulator model is provided (Case 1), model evaluation points can be selected by space-filling methods, e.g. Latin hyper cube sampling (LHS). This is non-adaptive Design of Experiments (DoE) in a sense that the whole samples can be located before running any simulations. On the other hand, the number of model evaluations can be reduced by selecting evaluation points *adaptively* after each run to get the best model improvements. -.. figure:: figures/UQ/GPtmp1.png - :align: center - :figclass: align-center - :width: 600 + .. _figGP_DoE1: - Two optimizations in design of experiments + .. figure:: figures/UQ/GPtmp1.png + :align: center + :figclass: align-center + :width: 600 + Two optimizations in design of experiments -However, as shown in the figure, adaptive DoE requires multiple optimization turns to find the optimal surrogate model parameters as well as the next optimal DoE. Therefore, it is noted that the adaptive DoE is efficient only when model evaluation time is significantly greater than the optimization time. -**Adaptive DoE algorithm: IMSEw, MMSEw** ([Kyprioti2020]_) + However, as shown in the figure, adaptive DoE requires multiple optimization turns to find the optimal surrogate model parameters as well as the next optimal DoE. Therefore, it is noted that the adaptive DoE is efficient only when model evaluation time is significantly greater than the optimization time. -The optimal design points can be selected by finding arguments that maximize (or minimize) the so-called score function. The score function in global surrogate modeling is often designed to predict the amount of reduced (or remaining) variance and bias after adding the new sample points. While there are many variations of the score function [Fuhg2020]_, in quoFEM, the modified integrated mean squared error (IMSE) from Kyprioti *et al.* (2020) is introduced as: + **Adaptive DoE algorithm: IMSEw, MMSEw** ([Kyprioti2020]_) -.. math:: - :label: IMSE + The optimal design points can be selected by finding arguments that maximize (or minimize) the so-called score function. The score function in global surrogate modeling is often designed to predict the amount of reduced (or remaining) variance and bias after adding the new sample points. While there are many variations of the score function [Fuhg2020]_, in quoFEM, the modified integrated mean squared error (IMSE) from Kyprioti *et al.* (2020) is introduced as: + + .. math:: + :label: IMSE - \begin{align*} - \rm{IMSE}_w(\boldsymbol{X},\boldsymbol{x_{new}}) &= \int_{\boldsymbol{X_d}} \phi^\rho\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})dx - \end{align*} + \begin{align*} + \rm{IMSE}_w(\boldsymbol{X},\boldsymbol{x_{new}}) &= \int_{\boldsymbol{X_d}} \phi^\rho\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})dx + \end{align*} -where :math:`\phi` is bias measure from leave-one-out cross validation (LOOCV) analysis, :math:`\rho` is a weighting coefficient, and :math:`\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})` is the predictive variance after additional observation :math:`x_{new}` [Kyprioti2020]_. To find the sample location that gives minimum IMSE value, two step screening-clustering algorithm is implemented. + where :math:`\phi` is bias measure from leave-one-out cross validation (LOOCV) analysis, :math:`\rho` is a weighting coefficient, and :math:`\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})` is the predictive variance after additional observation :math:`x_{new}` [Kyprioti2020]_. To find the sample location that gives minimum IMSE value, two step screening-clustering algorithm is implemented. -.. _figGP_DoE2: + .. _figGP_DoE2: -.. figure:: figures/UQ/GPtmp2.png - :align: center - :figclass: align-center - :width: 600 + .. figure:: figures/UQ/GPtmp2.png + :align: center + :figclass: align-center + :width: 600 - Adaptive DoE procedure by Kyprioti et al. (2020) [Kyprioti2020]_ + Adaptive DoE procedure by Kyprioti et al. (2020) [Kyprioti2020]_ -**Adaptive DoE algorithm: Pareto** + **Adaptive DoE algorithm: Pareto** -Alternatively, multiple design points can be selected by multi-objective optimization scheme. The variance mesure and bias measure defined by + Alternatively, multiple design points can be selected by multi-objective optimization scheme. The variance mesure and bias measure defined by -.. math:: - :label: Pareto + .. math:: + :label: Pareto - \begin{align*} - \rm{IMSE}_w(\boldsymbol{X},\boldsymbol{x_{new}}) &= \int_{\boldsymbol{X_d}} \phi^\rho\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})dx - \end{align*} + \begin{align*} + \rm{IMSE}_w(\boldsymbol{X},\boldsymbol{x_{new}}) &= \int_{\boldsymbol{X_d}} \phi^\rho\boldsymbol{\sigma_n}^2(\boldsymbol{x}|\boldsymbol{X,x_{new}})dx + \end{align*} -Adaptive DoE is terminated when one of the three conditions is met: + Adaptive DoE is terminated when one of the three conditions is met: -* **Time**: analysis time exceeds a predefined (rough) time constraint -* **Count**: number of model evaluation exceeds a predefined count constraint -* **Accuracy**: accuracy measure of the model meets a predefined convergence level + * **Time**: analysis time exceeds a predefined (rough) time constraint + * **Count**: number of model evaluation exceeds a predefined count constraint + * **Accuracy**: accuracy measure of the model meets a predefined convergence level +only:: EEUQ_app + + Currently not supported in EE-UQ. Verification of surrogate model ------------------------------- @@ -381,7 +403,12 @@ Once the training is completed, the following three verification measures are pr * **Leave-one-out cross-validation (LOOCV)** - | LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` at each sample location :math:`\boldsymbol{x}_k` is obatined by the following procedure: A temporary surrogate model :math:`\hat{\boldsymbol{y}}=f^{sur}_{loo,k}(\boldsymbol{\boldsymbol{x}})` is constructed using the samples :math:`\{\boldsymbol{x}_1,\boldsymbol{x}_2,...,\boldsymbol{x}_{k-1},\boldsymbol{x}_{k+1},...,\boldsymbol{x}_N\}` and the calibrated parameters, and the prediction :math:`\hat{\boldsymbol{y}}_k=f^{sur}_{loo,k}(\boldsymbol{x}_k)` is compared with the exact outcome :math:`y_k=f(\boldsymbol{x}_k)`. + | LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` at each sample location :math:`\boldsymbol{x}_k` is obatined by the following procedure: A temporary surrogate model :math:`\hat{\boldsymbol{y}}=f^{sur}_{loo,k}(\boldsymbol{\boldsymbol{x}})` is constructed using the samples :math:`\{\boldsymbol{x}_1,\boldsymbol{x}_2,...,\boldsymbol{x}_{k-1},\boldsymbol{x}_{k+1},...,\boldsymbol{x}_N\}` and the calibrated parameters, and the prediction :math:`\hat{\boldsymbol{y}}_k=f^{sur}_{loo,k}(\boldsymbol{x}_k)` is compared with the exact outcome . + + +We provide different verification measures for two different cases. + +(i) When nugget variance is low : The LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` is expected to match the exact outcome :math:`\boldsymbol{y_k}=f(\boldsymbol{x}_k)` when the surrogate model is well-trained. To quantify the goodness, R2 error, normalized root-mean-squared-error (NRMSE), and correlation coefficient are provided: * **R2 error** @@ -430,6 +457,19 @@ Once the training is completed, the following three verification measures are pr Since these measures are calculated from the cross-validation predictions rather than external validation predictions, they can be biased, particularly when a **highly localized nonlinear range exists in the actual response surface** and those regions are not covered by the training samples. +(ii) When nugget variance is high : The distance between LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` and the exact outcome :math:`\boldsymbol{y_k}=f(\boldsymbol{x}_k)` is expected to follow a normal distribution when the surrogate model is well-trained. To quantify the goodness, inter-quartile ratio (IQR) and Cramer-Von Mises statistics can be evaluated: + + * **Inter-quartile ratio (IQR)**: IQR provides the ratio of the sample QoIs that lies in 25-75% LOOCV prediction bounds (interquartile range). The IQR values should theoretically approach 0.5 if the prediction is accurate. + + * **Cramer-Von Mises statistics**: Cramer-Von Mises statistics calculates the normality score. The assumption of a GP is that the observations follow a normal distribution conditional on the input parameters. To assess the normality of the model predictions, the difference between the mean prediction :math:`\hat{y}_k` and the sample observation :math:`y_k` value is divided by the standard deviation prediction from surrogate :math:`\hat{\sigma}_{y,k}`: + + .. math:: + :label: normed + + u_k = \frac{y_k-\hat{y}_k} {\hat{\sigma}_{y,k}} + + + If the values of :math:`{u_k}` follow standard normal distribution, the resulting surrogate model may be considered well-constructed. The Cramer-Von Mises test is calculated using the ``scipy.stats.cramervonmises`` function in the Python package Scipy, and the resulting p-value is displayed. Conventionally, if the p-value exceeds a significance threshold, e.g. 0.05, the null hypothesis that the samples are from a normal distribution is not rejected, meaning the samples may be considered to follow a Gaussian distribution. .. [Rasmussen2006] Rasmussen, C.E. and Williams, C.K. (2006). *Gaussian Process for Machine Learning*. Cambridge, MA: The MIT Press, 2006 (available on-line at http://www.gaussianprocess.org/gpml/) diff --git a/docs/_sources/common/technical_manual/desktop/technical_manual.rst.txt b/docs/_sources/common/technical_manual/desktop/technical_manual.rst.txt index 2b238f03..303c44bb 100644 --- a/docs/_sources/common/technical_manual/desktop/technical_manual.rst.txt +++ b/docs/_sources/common/technical_manual/desktop/technical_manual.rst.txt @@ -7,14 +7,16 @@ Technical Manual :maxdepth: 1 uqTechnical + :EEUQ:SimCenterUQTechnical + :quoFEM:SimCenterUQTechnical + :quoFEM:UCSDUQTechnical + :EEUQ:damping :WEUQ:damping :PBE:damping :WEUQ:WEUQ/scalingWindTunnelData :WEUQ:WEUQ/TinF - :quoFEM:SimCenterUQTechnical - :quoFEM:UCSDUQTechnical - + :EEUQ:spatial_correlation :PBE:spatial_correlation :R2D:spatial_correlation diff --git a/docs/_sources/common/user_manual/about/quoFEM/quoFEMtutorial.rst.txt b/docs/_sources/common/user_manual/about/quoFEM/quoFEMtutorial.rst.txt index 033b586f..7298bab9 100644 --- a/docs/_sources/common/user_manual/about/quoFEM/quoFEMtutorial.rst.txt +++ b/docs/_sources/common/user_manual/about/quoFEM/quoFEMtutorial.rst.txt @@ -268,7 +268,7 @@ This tutorial will show how a **deterministic** model written/interfaced in pyth The order should match that written in the ``results.out`` file, and the specified name of QoIs are used only for the display in this example. Please see :ref:`here` to learn about vector QoIs which have a length greater than 1 - When all the fields are filled in, click the **Run** button, and the analysis will be performed. The program will go into "not responding", but that means quoFEM is busy running the analysis. You can check the progress status in your **Local Working directory** which can be found in the preference window. The number attached to 'workdir.' indicates the simulation index, and each folder contains the details for each simulation run. + When all the fields are filled in, click the **Run** button, and the analysis will be performed. **Do not press the Run button twice** - it will give you an error. You can check the progress status in your **Local Working directory** which can be found in the preference window. The number attached to 'workdir.' indicates the simulation index, and each folder contains the details for each simulation run. .. figure:: figures/step2_RES1.PNG :align: center diff --git a/docs/_sources/common/user_manual/examples/desktop/hdro-0001/README.rst.txt b/docs/_sources/common/user_manual/examples/desktop/hdro-0001/README.rst.txt new file mode 100644 index 00000000..0b1a62e6 --- /dev/null +++ b/docs/_sources/common/user_manual/examples/desktop/hdro-0001/README.rst.txt @@ -0,0 +1,115 @@ +.. _hdro-0001: + +Wave flume digital twin +=================================== + +Consider the problem of uncertainty quantification in a nine story steel building. The building being modelled is the 9 story LA building presented in the FEMA-355C report. From the description in Appendix B of the FEMA document the building is a **150** ft square building with a height above ground of **120** ft with a weight of approx. **19,800** kips. Eigenvalues are shown in Table 5.1. of the FEMA document to be between **2.3** sec and **2.2** sec depending on connection detals. For this example (and for demonstrative purposes only), this building will be modelled as a shear building with **10** nodes and **9** elements, as shown in following figure. For loading, the Stochastic Wind Generation tool will be used with the gust wind speed being treated as a random variable with a normal distribtion described by a mean :math:`\mu_{gustWS}=20 \mathrm{mph}` and standard deviation :math:`\sigma_{gustWS} =3 \mathrm{mph}`. + +.. figure:: figures/9Story.png + :align: center + :width: 600 + :figclass: align-center + + Nine Story Downtown LA Building from FEMA-355C + +The structure has uncertain properties that all follow normal distribution: + +1. Weight of Typical Floor(``w``): mean :math:`\mu_w=2200 \mathrm{kip}` and standard deviation :math:`\sigma_w =200 \mathrm{kip}` (COV = 10%) +2. Story Stiffness(``k``): mean :math:`\mu_k=1600 \mathrm{kip/in}` and standard deviation :math:`\sigma_k =160 \mathrm{kip/in}` (COV = 10%) + +.. note:: + + #. For the mean values provided the natural period of the structure is **2.27** sec. + #. The choice of COV percentages is for demonstrative purposes only. + + #. The exercise will use both the MDOF, :numref:`lblMDOFSIM`, and OpenSees, :numref:`lblOpenSeesSIM`, structural generators. For the OpenSees generator the following model script, :weuq-0001:`Frame9Model.tcl `. + + .. literalinclude:: src/Frame9Model.tcl + :language: tcl + + #. The first lines containing ``pset`` will be read by the application when the file is selected and the application will auto-populate the random variables ``w`` and ``k`` in the **RV** panel with this same variable name. It is of course possible to explicitly use random variables without the ``pset`` command by "RV.**variable name" in the input file. However, no random variables will be auto-populated if user chooses this route. + +.. warning:: + + Do not place the file in your root, downloads, or desktop folder as when the application runs it will copy the contents on the directories and subdirectories containing this file multiple times (a copy will be made for each sample specified). If you are like us, your root, Downloads or Documents folders contains and awful lot of files and when the backend workflow runs you will slowly find you will run out of disk space! + + +Sampling Analysis +^^^^^^^^^^^^^^^^^ + ++----------------+-------------------------+ +| Problem files | :weuq-0001:`/` | ++----------------+-------------------------+ + + +To perform a Sampling or Forward propagation uncertainty analysis the user would perform the following steps: + +1. Start the application and the UQ Selection will be highlighted. In the panel for the UQ selection, keep the UQ engine as that selected, i.e. Dakota, and the UQ Method Category as Forward Propagation, and the Forward Propagation method as LHS (Latin Hypercube). Change the #samples to 500 and the seed to 20 as shown in the figure. + +.. figure:: figures/9story-UQ.png + :align: center + :figclass: align-center + +#. Next select the **GI** panel. In this panel the building properties and units are set. For this example enter **9** for the number of stories, **1400** for building height, and **1600** for building breadth and depth + +.. figure:: figures/9story-GI.png + :align: center + :figclass: align-center + +#. Next select the **SIM** panel from the input panel. This will default in the MDOF model generator. We will use this generator (the NOTE below contains instruction on how to use the OpenSees scipt instead). In the building information panel, the number of stories should show **9** and the story heights **160**. In the building Information box specify **w** for the floor weights and **k** for story stiffness (in both x and y directions). + + +.. figure:: figures/9story-SIM1.png + :align: center + :figclass: align-center + +.. note:: + + To specify instead to use the OpenSees script instead, from thee Model Generator pull down menu select ``OpenSees``. For the fields in the panel presented enter the path to the :weuq-0001:`Frame9Model.tcl ` script. For both the Centroid Nodes (those nodes were the floor loads will be applied) the Response Nodes (those nodes from which the reponse quantities will be evaluated) as **1 2 3 4 5 6 7 8 9 10** in the panel. The Response nodes will tell model generator which nodes correspond to nodes at the 4 floor levels for which responses are to be obtained when using the standard earthquake EDP's. + + .. figure:: figures/9story-SIM2.png + :align: center + :figclass: align-center + +#. Next select the **EVT** panel. From the Load Generator pull down menu select the **Stochastic Wind** option. Leave the exposure condition as **B**. Set the drag coefficient as **1.3** and enter ``gustWS`` for the 3 sec gust wind speed at the 33 ft height. + +.. figure:: figures/9story-EVENT.png + :align: center + :figclass: align-center + +#. Next choose the **FEM** panel. Here we will change the entries to use Rayleigh damping, with rayleigh factor chosen using **1** and **6** modes. For the **MDOF** model generator, because it generates a model with two translational and 1 rotational degree-of-freedom in each direction and because we have provided the same **k** values in each translational direction, i.e. we will have duplicate eigenvalues, we specify as shown in the figure modes **1** and **6**. + +.. figure:: figures/9story-FEM.png + :align: center + :figclass: align-center + +4. We will skip the **EDP** panel leaving it in it's default condition, that being to use the **Standard Wind** EDP generator. + +5. For the **RV** panel, we will enter the distributions and values for our random variables. Because of the steps we have followed and entries we have made, the panel when we open it should contain the **3** random variables and they should all be set constant. For the w, k and wS random variables we change the distributions to normal and enter the values given for the problem, as shown in figure below. + +.. figure:: figures/9story-RV.png + :align: center + :figclass: align-center + +.. warning:: + + The user cannot leave any of the distributions for these values as constant for the Dakota UQ engine. + +5. Next click on the **Run** button. This will cause the backend application to launch dakota. When done the **RES** panel will be selected and the results will be displayed. The results show the values the mean and standard deviation. The peak displacement of the roof, is the quantity **1-PFD-9-1** (first event (tool to be extended to multiple events), 9th floor (in US ground floor considered 0), and 1 dof direction). the **PFA** quantity defines peak floor acceleration, the **RMSA** quantity the root mean square of floor accelerations, and the **PID** quantity corresponds to peak interstory drift. + +.. figure:: figures/9story-RES1.png + :align: center + :figclass: align-center + +If the user selects the "Data" tab in the results panel, they will be presented with both a graphical plot and a tabular listing of the data. By left- and right-clicking with the mouse in the individual columns the axis change (left mouse click controls vertical axis, right mouse click the horizontal axis). + +.. figure:: figures/9story-RES2.png + :align: center + :figclass: align-center + +Various views of the graphical display can be obtained by left and right clicking in the columns of the tabular data. If a singular column of the tabular data is pressed with both right and left buttons a frequency and CDF will be displayed, as shown in figure below. + +.. figure:: figures/9story-RES6.png + :align: center + :figclass: align-center + diff --git a/docs/_sources/common/user_manual/installation/desktop/install_Windows.rst.txt b/docs/_sources/common/user_manual/installation/desktop/install_Windows.rst.txt index 8ac0c3fa..52f56ac7 100644 --- a/docs/_sources/common/user_manual/installation/desktop/install_Windows.rst.txt +++ b/docs/_sources/common/user_manual/installation/desktop/install_Windows.rst.txt @@ -88,8 +88,9 @@ To download the |app|, navigate to the |appLink| page which should resemble |fig Click on the file with a name ending with **Windows_Download.zip** to download the |app|. In the pop-up window, click on the **Download** button in the bottom right corner. -After the download completed, extract the zip archive to a location in your filesystem. We suggest extracting to the **C:\\SimCenter\** folder. You can create a shortcut that points to the |short tool id|.exe executable of the application and move this shortcut to your Desktop for easy access. +After the download completed, extract the zip archive to a location in your filesystem. We suggest extracting to the **C:/SimCenter/** folder. You can create a shortcut that points to the |short tool id|.exe executable of the application and move this shortcut to your Desktop for easy access. +.. tip:: Using an external compressor program, such as `7-Zip `_, can significantly reduce the zip archive extraction time compared to the Windows default extraction function. Test the Installation ^^^^^^^^^^^^^^^^^^^^^ diff --git a/docs/_sources/common/user_manual/installation/desktop/install_macOS.rst.txt b/docs/_sources/common/user_manual/installation/desktop/install_macOS.rst.txt index 36cec66a..e0ab9670 100644 --- a/docs/_sources/common/user_manual/installation/desktop/install_macOS.rst.txt +++ b/docs/_sources/common/user_manual/installation/desktop/install_macOS.rst.txt @@ -185,7 +185,14 @@ Once the installation procedure has been completed, it is a good practice to run .. note:: - SimCenter apps are code-signed and notarized, but because they are not downloaded from the operating system's app store, they may not be recognized as safe applications. Depending on your security settings, when you start a SimCenter app for the first time, your operating system may show a dialog box indicating it is unsafe. If this dialog appears, choose the cancel button. Restart the app by right clicking on it and selecting open. + SimCenter apps are code-signed and notarized, but because they are not downloaded from the operating system's app store, they may not be recognized as safe applications. Depending on your security settings, when you start a SimCenter app for the first time, your operating system may show a dialog box indicating it is unsafe. If this dialog appears, choose the cancel button. Try to start the app again, this time by right clicking on it and selecting open. + + If the app still fails to open. You need to go to System Settings->Privacy and Security. Under the Security section you need to at least temprarily select the option to allow applications downloaded from the **App Store and Identified Developers**. With this schecked try again. If it fails again, go back to System Settings->Privacy and Security. Just below the section you just checked, there should be some text about why the app was stopped and an option to **Open Anayway" , as shown in figure below. Click on the button and the app should start. + + .. figure:: figures/AppleSecurity.png + :align: center + :figclass: align-center + Once the application started, you should see the user interface shown in |figUI|. We recommend running the example problem |test example| to test the application. diff --git a/docs/_sources/common/user_manual/releases/eeCapabilities.rst.txt b/docs/_sources/common/user_manual/releases/eeCapabilities.rst.txt index ee02a349..a18e5ff0 100644 --- a/docs/_sources/common/user_manual/releases/eeCapabilities.rst.txt +++ b/docs/_sources/common/user_manual/releases/eeCapabilities.rst.txt @@ -18,6 +18,8 @@ Applications used to specify/select the structural model to be used in analysis. #. Steel Building Model: automating steel frame design and modeling #. Concrete Building Model: automating concrete moment frame design and modeling #. MDOF-LU: MDOF shear building model +#. :blue:`SurrogateGP: surrogate model trained in EE-UQ` +#. :blue:`Multimodel: selecting multiple structural information models` Earthquake Motion Event @@ -26,7 +28,7 @@ Earthquake Motion Event Applications used to specify/select ground motions for the structure. #. Stochastic Ground Motion: simulating stochastic ground motion recordings -#. PEER NGA Records: selecting and scaling PEER NGA West2 ground motions +#. PEER NGA Records: selecting and scaling PEER NGA West2 ground motions :blue:`[<- New option to select a suit of ground motions with uniformly populated IMs. This can be useful when training a surrogate model]` #. Site Response: propagating rock motions to the surface #. Multiple PEER: using multiple PEER recordings #. Multiple SimCenter: using multiple SimCenter-format recordings @@ -40,6 +42,7 @@ Applications to identify the output parameters of interest given the ground moti #. Standard Earthquake: maximum story drift ratio, lateral story displacement, peak floor acceleration #. User Defined: user-specified EDP +#. :blue:`None: used only for surrogate model-based predictions` Finite Element Application @@ -48,7 +51,9 @@ Finite Element Application Applications used to determine the response output parameters given the ground motion and structural model. #. OpenSees: Open System for Earthquake Engineering Simulation - +#. :blue:`CustomPy-Simulation: user-provided python script` +#. :blue:`None: used only for surrogate model-based predictions` +#. :blue:`Multimodel: selecting multiple finite element applications` Uncertainty Quantification ========================== @@ -57,7 +62,7 @@ Applications to perform the uncertainty quantification for the response paramete #. Forward Uncertainty Propagation - A. Dakota Options :blue:`[← New option to discard working directories after each model evaluation]` + A. Dakota Options #. Monte Carlo Sampling (MCS) #. Latin Hypercube Sampling (LHS) @@ -86,8 +91,8 @@ Applications to perform the uncertainty quantification for the response paramete #. Surrogate Modeling - A. SimCenterUQ Engine Surrogating Options: + A. SimCenterUQ Engine Surrogate Options: - #. Surrogate modeling using Probabilistic Learning on Manifolds (PLoM) - #. :blue:`Gaussian process surrogate modeling` + #. Probabilistic Learning on Manifolds (PLoM) Surrogate modeling + #. :blue:`Gaussian Process Surrogate Modeling` diff --git a/docs/_sources/common/user_manual/releases/eePlans.rst.txt b/docs/_sources/common/user_manual/releases/eePlans.rst.txt index b8b858f6..e0173d51 100644 --- a/docs/_sources/common/user_manual/releases/eePlans.rst.txt +++ b/docs/_sources/common/user_manual/releases/eePlans.rst.txt @@ -8,12 +8,6 @@ Release Plans The following features are planned to be developed for upcoming releases of |app|. We are actively working on the features in the next release. Farther development priorities may change depending on feedback from the community. If you have any suggestions, we encourage you to contribute and contact us through the SimCenter Forum. -March 2023 ----------- - #. Quantify epistemic uncertainty in structural response by considering multiple models to represent various candidates for events, structural models, or simulation methods (1.2.4.1) - Define weights for each model candidate and propagate epistemic uncertainty by randomly selecting a model for each realization according to these weights. - #. Use any simulation engine with the CustomPy feature - CustomPy allows you to execute a Python script that can serve as a wrapper for any other application. After preparing a wrapper, you can take leverage the applications in the SimCenter backend while running the FEM engine of your choice - OpenSeesPy, ETABS, Perform3D, ANSYS, Abaqus, etc. - - Sept 2023 --------- #. New, state-of-the-art surrogate methods - Heteroscedastic Gaussian Process Surrogates (1.2.2.2) - First, train a GP surrogate to capture the mean response, then train another GP surrogate the capture the variance using the residuals. This approach is especially powerful when large differences are observed in the variance of the output in different parts of the input space. diff --git a/docs/_sources/common/user_manual/releases/eeReleaseNotes.rst.txt b/docs/_sources/common/user_manual/releases/eeReleaseNotes.rst.txt index 928b5f99..0aed2d64 100644 --- a/docs/_sources/common/user_manual/releases/eeReleaseNotes.rst.txt +++ b/docs/_sources/common/user_manual/releases/eeReleaseNotes.rst.txt @@ -5,7 +5,7 @@ Release Notes ************* -Version 3.2.0 (Current) +Version 3.3.0 (Current) ----------------------- **Release date:** March. 2023 diff --git a/docs/_sources/common/user_manual/usage/desktop/SimCenterUQSurrogate.rst.txt b/docs/_sources/common/user_manual/usage/desktop/SimCenterUQSurrogate.rst.txt index 23408767..0f3e5e14 100644 --- a/docs/_sources/common/user_manual/usage/desktop/SimCenterUQSurrogate.rst.txt +++ b/docs/_sources/common/user_manual/usage/desktop/SimCenterUQSurrogate.rst.txt @@ -1,89 +1,125 @@ .. _lblSimSurrogate: +.. role:: blue -Surrogate Modeling -********************* +Gaussian Process (GP) Surrogate Modeling +****************************************** .. Note:: - Surrogate modeling functionality of quoFEM is built upon `GPy `_ library (available under BSD 3-clause license), an opensource python framework for Gaussian process modeling developed in the Sheffield machine learning group. + Surrogate modeling functionality of |short tool id| is built upon `GPy `_ library (available under BSD 3-clause license), an opensource python framework for Gaussian process modeling developed in the Sheffield machine learning group. -The ``Train GP Surrogate Model`` module is used to construct a Gaussian process (GP) based **surrogate model** that substitutes expensive computational **simulation models** or physical experiments. Consider a simulation model, with input random variables (or parameters) :math:`\boldsymbol{x}` and output quantity of interests, denoted as :math:`\boldsymbol{y}=f(\boldsymbol{x})`. A surrogate model for the corresponding simulation model can be built by different user-provided information types (RV-random variables, QoI-quantities of interest): +.. only:: quoFEM -.. list-table:: User-provided information types - :widths: 3 10 10 - :header-rows: 1 + The ``Train GP Surrogate Model`` module is used to construct a Gaussian process (GP) based **surrogate model** that substitutes expensive computational **simulation models** or physical experiments. Consider a simulation model, with input random variables (or parameters) :math:`\boldsymbol{x}` and output quantity of interests, denoted as :math:`\boldsymbol{y}=f(\boldsymbol{x})`. A surrogate model for the corresponding simulation model can be built by different user-provided information types (RV-random variables, QoI-quantities of interest): - * - - - RV (model input :math:`\boldsymbol{x}`) - - QoI (model response :math:`\boldsymbol{y}`) - * - **Case1** - - bounds of random variables :math:`\boldsymbol{x}` - - simulation model: :math:`\boldsymbol{y}=f(\boldsymbol{x})` - * - **Case2** - - dataset: :math:`\{\boldsymbol{x^{(1)},x^{(2)}, ... ,x^{(N)}}\}` - - simulation model: :math:`\boldsymbol{y}=f(\boldsymbol{x})` - * - **Case3** - - dataset: :math:`\{\boldsymbol{x^{(1)},x^{(2)}, ... ,x^{(N)}}\}` - - dataset: :math:`\{\boldsymbol{y^{(1)},y^{(2)}, ... ,y^{(N)}}\}` + .. list-table:: User-provided information types + :widths: 3 10 10 + :header-rows: 1 + * - + - RV (model input :math:`\boldsymbol{x}`) + - QoI (model response :math:`\boldsymbol{y}`) + * - **Case1** + - bounds of random variables :math:`\boldsymbol{x}` + - simulation model: :math:`\boldsymbol{y}=f(\boldsymbol{x})` + * - **Case2** + - dataset: :math:`\{\boldsymbol{x^{(1)},x^{(2)}, ... ,x^{(N)}}\}` + - simulation model: :math:`\boldsymbol{y}=f(\boldsymbol{x})` + * - **Case3** + - dataset: :math:`\{\boldsymbol{x^{(1)},x^{(2)}, ... ,x^{(N)}}\}` + - dataset: :math:`\{\boldsymbol{y^{(1)},y^{(2)}, ... ,y^{(N)}}\}` -**Case 1 (Sampling and Simulation)**: User provides lower and upper bounds of each random variable (RV) and a simulation model. quoFEM will find the best training points sequentially by the adaptive **design of experiments** (DoE) strategies until the model converges or reaches a user-specified computational tolerance. + **Case 1 (Sampling and Simulation)**: The user provides lower and upper bounds of each random variable (RV) and a simulation model. |short tool id| will find the best training points sequentially by the adaptive **design of experiments** (DoE) strategies until the model converges or reaches a user-specified computational tolerance. -**Case 2 (Import RV Dataset and run Simulation)**: User provides sample population of RVs as a separate text file. quoFEM will run simulations to get QoI values and build a surrogate model. + **Case 2 (Import RV Dataset and run Simulation)**: The user provides sample population of RVs as a separate text file. |short tool id| will run simulations to get QoI values and build a surrogate model. -**Case 3 (Import both RV and QoI Dataset)**: User provides sample population of RVs and QoIs. quoFEM will not run any simulations and build a surrogate model purely based on the provided dataset. + **Case 3 (Import both RV and QoI Dataset)**: The user provides sample population of RVs and QoIs. |short tool id| will not run any simulations and build a surrogate model purely based on the provided dataset. -.. list-table:: quoFEM workflow (DoE: Design of experiments) - :widths: 2 5 5 5 - :header-rows: 1 - :align: center + .. list-table:: |short tool id| workflow (DoE: Design of experiments) + :widths: 2 5 5 5 + :header-rows: 1 + :align: center + + * - + - Sampling (Adaptive DoE) + - Model simulation + - Surrogate Construction + * - **Case1** + - O + - O + - O + * - **Case2** + - X + - O + - O + * - **Case3** + - X + - X + - O + + **The trained surrogate model can be saved in a portable file (.json format) and later imported** in place of the original simulation model for UQ analysis or optimization purposes. See user guide section 2.3.5 for how to import the surrogate model in |short tool id|. + +.. only:: EE-UQ + + The ``Train GP Surrogate Model`` module is used to construct a Gaussian process (GP) based **surrogate model** that substitutes expensive computational **simulation models**. The challenge of surrogate modeling in earthquake engineering arrives from the stochasticity in the ground motion time history and corresponding stochastic output. + + .. _figSimEE1: + + .. figure:: figures/SimCenterUQ/Surrogate_EEUQ1.png + :align: center + :figclass: align-center + :width: 1000 + + Surrogate Modeling in EE-UQ + + * **Output of surrogate model**: Following the performance-based earthquake engineering practice, the response estimation module in SimCenter workflow concerns only the peak responses (e.g. peak acceleration, peak drift ratio at each floor) rather than the whole time history. Therefore, the surrogate modeling algorithms in this tool are designed to predict the non-time history responses. + + * **Input of surrogate model**: To keep the input dimension of the surrogate model to a reasonable scale, the ground motion time history are first parameterized into a number of key features in the algorithm. This can be, for example, the sources properties (e.g. M,R) or time/frequency domain excitation property at the site of interest (e.g. intensity measures) ([Kyprioti2021]_, [Zhong2023]_). + + The surrogate prediction of EDP given the ground motion parameters typically inherits significant randomness, as the amount of information provided by these parameters are not sufficient to determine the exact model peak response. Therefore, the key task in surrogate modeling is to capture the remaining amount of uncertainty in the EDP predictions, as shown in the above figure. + + **The trained surrogate model can be saved in a portable file (.json format) and later imported** in place of the original simulation model for UQ analysis or optimization purposes. See user guide :ref:`section 2.2.5 ` for how to import the surrogate model in |short tool id|. + + + .. [Kyprioti2021] + Kyprioti, A. P., & Taflanidis, A. A. (2021). "Kriging metamodeling for seismic response distribution estimation". *Earthquake Engineering & Structural Dynamics*, 50(13), 3550-3576. + + .. [Zhong2023] + Zhong, K., Navarro, J.G., Govindjee, S., and Deierlein, G.G. (2023). "Surrogate Modeling of Structural Seismic Response Using Probabilistic Learning on Manifolds," *Earthquake Engineering & Structural Dynamics*, 1-22, https://doi.org/10.1002/eqe.3839 - * - - - Sampling (Adaptive DoE) - - Model simulation - - Surrogate Construction - * - **Case1** - - O - - O - - O - * - **Case2** - - X - - O - - O - * - **Case3** - - X - - X - - O - - -**The trained surrogate model can be saved in a file (.pkl format) along with a meta-information (.json format) and later imported in quoFEM** in place of the original simulation model for UQ analysis or optimization purposes. See 2.2.5 for how to import the surrogate model in quoFEM. Input description ^^^^^^^^^^^^^^^^^ Case 1: Sampling and Simulation -------------------------------- -When the **Training Dataset** option is set to the ``Sampling and Simulation``, a simulation model should be presented in the **FEM tab**. The training points are sampled adaptively by the design of experiments. + +.. only:: EEUQ_app + + .. Note:: + Another SimCenter tool named `quoFEM `_ also supports surrogate modeling capability that shares the same algorithm with EE-UQ. However, quoFEM is targeted at more general applications not restricted to earthquake problems. quoFEM additionally supports different user-provided information types, allowing users to directly (i) Import RV Dataset and run the Simulation (Case 2), or (ii) Import both RV and EDP Dataset (Case 3). Currently, in EE-UQ, we only support the Sampling and simulation option (Case 1). + +When the **Training Dataset** option is set to the ``Sampling and Simulation``, a simulation model should be presented in the later tabs. The training points are sampled adaptively by the design of experiments. .. _figSim1: .. figure:: figures/Surrogate1_SimUQ.png :align: center :figclass: align-center - :width: 1200 + :width: 900 Input panel for surrogate modeling * **Maximum Number of Model Runs**: When the number of simulation runs reaches the limit, the analysis will be terminated. * **Maximum Computation Time (in minutes)**: When the tolerance limit of the computation time is reached, the analysis will be terminated. There will be a few minutes of error. -* **Target Accuracy (Normalized Error)**: The target accuracy is defined in terms of normalized root-mean squared error (NRMSE) estimated by leave-out-one cross-validation (LOOCV). +* **Target Accuracy (Normalized Error)**: The target accuracy is defined in terms of normalized root-mean-squared error (NRMSE) estimated by leave-out-one cross-validation (LOOCV). - .. math:: - :label: NRMSE + .. math:: + :label: NRMSE - \begin{align*} - \rm{NRMSE} ~ &= \frac{\sqrt{\frac{1}{N} \sum^{N}_{k=1} (y_k-\hat{y}_k)^2}}{\max_{k=1,...,N}(y_k)-\min_{k=1,...,N}(y_k)} - \end{align*} + \begin{align*} + \rm{NRMSE} ~ &= \frac{\sqrt{\frac{1}{N} \sum^{N}_{k=1} (y_k-\hat{y}_k)^2}}{\max_{k=1,...,N}(y_k)-\min_{k=1,...,N}(y_k)} + \end{align*} | where | :math:`y_k` : exact response from the model simulation @@ -91,251 +127,317 @@ When the **Training Dataset** option is set to the ``Sampling and Simulation``, | :math:`N`: number of samples used to train the surrogate model * **Random Seed**: Seed of the random number generator -* **Parallel excution**: This engine implemented multiprocessing (local) or mpi4py (remote) python packages to run parallel execution. -Note that the results from the parallel and serial run may not be exactly the same because parallel execution sets the number of batch design of experiments (DoE) in order to maximize the use of resources (Default DoE interval: 5) +* **Parallel execution**: This engine implemented multiprocessing (local) or mpi4py (remote) python packages to run parallel execution. +Note that the results from the parallel and serial run may not be exactly the same because parallel execution sets the number of batch design of experiments (DoE) in order to maximize the use of resources (Default DoE interval: 5). User can also activate the following advanced options: -User can also activate the **Advanced Options for Gaussian Process Model** +:blue:`Advanced Options for Gaussian Process Model` .. _figSim2: .. figure:: figures/Surrogate2_SimUQ.png :align: center :figclass: align-center - :width: 1200 + :width: 600 Sampling and Simulation - Case 1 -* **Kernel function**: Correlation function for Gaussian process regression. Matern5/2 function is the default, and Matern3/2, Radial Basis, and Exponential functions (exponent :math:`\gamma=1`) are additionally supported. (For details, please refer to `chapter 4 `_ of the book Gaussian Processes for Machine Learning) -* **Add Linear Trend Function**: When increasing or decreasing trend is expected over the variables domain, a linear trend function may be introduced. The default is unchecked, ie. no trend function. -* **Log-space Transform of QoI**: When the user can guarantee that the response quantities are always greater than 0, user may want to introduce a surrogate model in log-transformed space of QoI. The default is unchecked, ie. original physical coordinate. -* **Design of Experiments options**: User may manually select the design of experiments (DoE) method and the number of the initial DoE. The default is "none" and the default number of DoE is 4 times the number of random variables. -* **Nugget Variances**: User may define nugget variances or bounds of the nugget variances if needed. The default is "optimize". +.. only:: quoFEM_app -Additionally, users may populate the initial samples directly from data files by activating **Start with Existing Dataset** + * **Kernel function**: Correlation function for Gaussian process regression. Matern5/2 function is the default, and Matern3/2, Radial Basis, and Exponential functions (exponent :math:`\gamma=1`) are additionally supported. (For details, please refer to `chapter 4 `_ of the book Gaussian Processes for Machine Learning) + * **Add Linear Trend Function**: When increasing or decreasing trend is expected over the variables domain, a linear trend function may be introduced. The default is unchecked, ie. no trend function. + * **Log-space Transform of QoI**: When the user can guarantee that the response quantities are always greater than 0, user may want to introduce a surrogate model in log-transformed space of QoI. The default is unchecked, ie. original physical coordinate. + * **Design of Experiments options**: User may manually select the design of experiments (DoE) method and the number of the initial DoE. The default is "none" and the default number of DoE is 4 times the number of random variables. + * **Nugget Variances**: User may define nugget variances or bounds of the nugget variances if needed. The default is "optimize". See subsection titled 'Heteroscedastic Gaussian Process' to learn more about this feature. -.. _figSim3: -.. figure:: figures/Surrogate3_SimUQ.png - :align: center - :figclass: align-center - :width: 1200 +.. only:: EEUQ_app - Input panel for surrogate modeling + * **Kernel function**: Correlation function for Gaussian process regression. Matern5/2 function is the default, and Matern3/2, Radial Basis, and Exponential functions (exponent :math:`\gamma=1`) are additionally supported. (For details, please refer to `chapter 4 `_ of the book Gaussian Processes for Machine Learning) + * **Add Linear Trend Function**: When an increasing or decreasing trend is expected over the variables domain, a linear trend function may be introduced. The default is checked. + * **Log-space Transform of QoI**: When the user can guarantee that the response quantities are always greater than 0, the user may want to introduce a surrogate model in the log-transformed space of QoI. The default is checked. + * **Design of Experiments options**: The user may manually select the design of experiments (DoE) method and the number of the initial DoE. The default is "none" and the default number of DoE is 4 times the number of random variables. + * **Nugget Variances**: The default is "heteroscedastic" with replication size 1. -The following two data files are requested: +:blue:`Start with Existing Dataset` -* **Train Points (Input)** -* **System Responses (Output)** +.. only:: EEUQ_app -where + This option is not recommended in EE-UQ at this point. For the users who are interested in using this option, please refer to `quoFEM `_ documentation. -* Each text file is a numeric table with the columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. -* The number of rows corresponds to the number of training data samples. -* Train Points (Input): The number of columns should match the number of RVs presented in the **RV tab** and also match with required inputs of the simulation model provided in the **FEM tab**. **The order of the columns should match thoses of the random variables presented in the RV tab** (See :numref:`figSim4` and :numref:`figSim7` for example.) -* System Responses (Output): The number of columns and the order of columns should match the QoI quantities presented in **QoI tab**. -* Both files need to be provided, and the number of columns for the two files should be the same. -* See :numref:`figSim4` for example input data sheets. +.. only:: quoFEM_app -.. _figSim4: + .. _figSim3: -.. figure:: figures/Surrogate4_SimUQ.jpg - :align: center - :figclass: align-center - :width: 1200 + .. figure:: figures/Surrogate3_SimUQ.png + :align: center + :figclass: align-center + :width: 900 - Example of data input files + Input panel for surrogate modeling -.. Note:: + Additionally, users may populate the initial samples directly from data files by activating. The following two data files are requested: - * When the **Start with Existing Dataset** is checked, one redundant simulation will be performed in order to check the consistency between the data and the simulation model. An error will be thrown when the dataset cannot be reproduced by the simulation model. - * If the user wants to use the samples purely from data files and does not wish to introduce any simulation model, refer to Case 3 below. + * **Train Points (Input)** + * **System Responses (Output)** + where -Case 2: Import RV Dataset and run Simulation ----------------------------------------------- -When the **Training Dataset** option is set to ``Import Data File`` AND **Get results from datafile** check box is unchecked, quoFEM will run simulations to get result (QoI) values for imported RV locations and build a surrogate model. + * Each text file is a numeric table with columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. + * The number of rows corresponds to the number of training data samples. + * Train Points (Input): The number of columns should match the number of RVs presented in the **RV tab** and also match the required inputs of the simulation model provided in the **FEM tab**. **The order of the columns should match those of the random variables presented in the RV tab** (See :numref:`figSim4` and :numref:`figSim7` for example.) + * System Responses (Output): The number of columns and the order of columns should match the QoI quantities presented in **QoI tab**. + * Both files need to be provided, and the number of columns for the two files should be the same. + * See :numref:`figSim4` for example input data sheets. -.. _figSim5: + .. _figSim4: -.. figure:: figures/Surrogate5_SimUQ.png - :align: center - :figclass: align-center - :width: 1200 + .. figure:: figures/Surrogate4_SimUQ.jpg + :align: center + :figclass: align-center + :width: 900 - Import Data File - Case 2 + Example of data input files -The following data file is requested + .. Note:: -* **Train Points (Input)** + * When the **Start with Existing Dataset** is checked, one redundant simulation will be performed in order to check the consistency between the data and the simulation model. An error will be thrown when the dataset cannot be reproduced by the simulation model. + * If the user wants to use the samples purely from data files and does not wish to introduce any simulation model, refer to Case 3 below. -where -* The text file is a numeric table with columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. -* The number of rows corresponds to the number of training data samples. -* The number of columns should match the number of RVs presented in the FEM model in the **FEM tab**. The order of columns should match those presented in the **RV tab**. -* See :numref:`figSim4` (left) for an example data file. +.. only:: EEUQ_app + :blue:`Advanced Options (Earthquake specific)` -Case 3: Import both RV and QoI Dataset ------------------------------------------------------------------- -When the **Training Dataset** option is set to ``Import Data File`` AND **Get results from datafile** check box is unchecked, quoFEM will not run any simulations and build a surrogate model purely based on the user-provided dataset. + .. _figSimEE1: -.. _figSim6: + .. figure:: figures/SimCenterUQ/Surrogate_Advanced_EEUQ.png + :align: center + :figclass: align-center + :width: 600 -.. figure:: figures/Surrogate6_SimUQ.png - :align: center - :figclass: align-center - :width: 1200 + Advanced Options (Earthquake Specific) - Import Data File - Case 3 + The user can select intensity measures (IMs) that will be used as auxiliary inputs of the surrogate model, in addition to those specified in the RV tab. If ground motions have more than one directional component, either each component's IM can be added as a separate surrogate input parameter, or they can be aggregated by using their geometric mean. The latter can be selected by checking 'Use geometric mean when 2 or more ground motion components are given'. -The following two data files are requested: -* **Train Points (Input)** -* **System Responses (Output)** +.. only:: quoFEM -where + Case 2: Import RV Dataset and run Simulation + ---------------------------------------------- + When the **Training Dataset** option is set to ``Import Data File`` AND **Get results from datafile** check box is unchecked, |short tool id| will run simulations to get result (QoI) values for imported RV locations and build a surrogate model. -* Each text file is a numeric table with columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. -* The number of columns corresponds to the number of training data samples. -* The number of rows of each file respectively corresponds to the number of RVs and QoIs. -* Both files need to be presented, and the number of columns should correspond to each other. -* See :numref:`figSim4` for example data files. + .. _figSim5: -**FEM tab** will be inactivated in Case 3 as model information is not required. + .. figure:: figures/Surrogate5_SimUQ.png + :align: center + :figclass: align-center + :width: 900 -.. Tip:: - - Surrogate model training can be continued after termination by reusing RV and QoI samples obtained by the previous training. + Import Data File - Case 2 + The following data file is requested -Multi-Fidelity Modeling ------------------------ + * **Train Points (Input)** -When a user provides two different models, i.e. high and low fidelity models, the surrogate model for the high fidelity can be constructed with better performance in assisted by the low fidelity simulation results. The two models should share the same input RVs and output QoIs pools. Ideally, combined model should have the best prediction better than each individual ones, however, the benefit from low fidelity model differs depending on the correlation between the two model outputs [Patsialis2021]_. Currently, adaptive design of experiments capacity of the multi-fidelity surrogate modeling is NOT supported. + where -.. Note:: - Multi-fidelity surrogate modeling functionality of quoFEM is built upon `emukit `_ library (available under Apache-2.0 license), an opensource python toolkit for emulation (surrogate modeling) and decision making under uncertainty. + * The text file is a numeric table with columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. + * The number of rows corresponds to the number of training data samples. + * The number of columns should match the number of RVs presented in the FEM model in the **FEM tab**. The order of columns should match those presented in the **RV tab**. + * See :numref:`figSim4` (left) for an example data file. -.. _figSimMF1: -.. figure:: figures/SimUQ_surrogate_MF1.png - :align: center - :figclass: align-center - :width: 1200 + Case 3: Import both RV and QoI Dataset + ------------------------------------------------------------------ + When the **Training Dataset** option is set to ``Import Data File`` AND **Get results from datafile** check box is unchecked, |short tool id| will not run any simulations and build a surrogate model purely based on the user-provided dataset. - Multi-fidelity modeling panel + .. _figSim6: -For each fidelity models, either model, data, or both can be provided for each fidelity level. + .. figure:: figures/Surrogate6_SimUQ.png + :align: center + :figclass: align-center + :width: 900 -.. _figSimMF2: + Import Data File - Case 3 -.. figure:: figures/SimUQ_surrogate_MF2.png - :align: center - :figclass: align-center - :width: 1200 + The following two data files are requested: - Providing a simulation model for the high-fidelity response + * **Train Points (Input)** + * **System Responses (Output)** -.. _figSimMF3: + where -.. figure:: figures/SimUQ_surrogate_MF3.png - :align: center - :figclass: align-center - :width: 1200 + * Each text file is a numeric table with columns separated by a tab, space, or comma. Multiple headers can be presented following the symbol %. + * The number of columns corresponds to the number of training data samples. + * The number of rows of each file respectively corresponds to the number of RVs and QoIs. + * Both files need to be presented, and the number of columns should correspond to each other. + * See :numref:`figSim4` for example data files. - Directly providing input(RV)-response(QoI) data pair of high-fidelity model + **FEM tab** will be inactivated in Case 3 as model information is not required. -Heteroscedastic Gaussian Process ------------------------------------- -When the noise in the response surface is expected to vary across the domains, heteroscedastic measurement noise model should be introduced. See the :ref:`theory manual` for more. - -.. _figSimStoch1: + .. Tip:: + - Surrogate model training can be continued after termination by reusing RV and QoI samples obtained by the previous training. -.. figure:: figures/SimCenterUQ/Surrogate_Hetero.png - :align: center - :figclass: align-center - :width: 1200 - Input fields for heteroscedastic GP + Multi-Fidelity Modeling + ----------------------- + + When a user provides two different models, i.e. high and low fidelity models, the surrogate model for the high fidelity can be constructed with better performance assisted by the low fidelity simulation results. The two models should share the same input RVs and output QoIs pools. Ideally, the combined model should have the best prediction better than each individual one, however, the benefit from the low fidelity model differs depending on the correlation between the two model outputs [Patsialis2021]_. Currently, the adaptive design of experiments capacity of the multi-fidelity surrogate modeling is NOT supported. + + .. Note:: + Multi-fidelity surrogate modeling functionality of |short tool id| is built upon `emukit `_ library (available under Apache-2.0 license), an opensource python toolkit for emulation (surrogate modeling) and decision making under uncertainty. + + .. _figSimMF1: + + .. figure:: figures/SimUQ_surrogate_MF1.png + :align: center + :figclass: align-center + :width: 900 + + Multi-fidelity modeling panel + + For each fidelity models, either model, data, or both can be provided for each fidelity level. + + .. _figSimMF2: + + .. figure:: figures/SimUQ_surrogate_MF2.png + :align: center + :figclass: align-center + :width: 900 + + Providing a simulation model for the high-fidelity response -Heteroscedastic Gaussian Process can be trained by selecting ``Heteroscedastic`` option in the ``Nugget Variance`` field. The following two parameters are are requested: + .. _figSimMF3: -* **Number of samples to be replicated (A)** : Among number of unique samples specified in the ``Number of Samples`` field, decide how many of them will have its replications. -* **Number of replications per sample (B)** : Specify how many replications will be generated for the number of samples specified in A. -* Without DoE, the total number of simulations required is then ``Number of Samples``:math:`+A(B-1)`. + .. figure:: figures/SimUQ_surrogate_MF3.png + :align: center + :figclass: align-center + :width: 900 + + Directly providing input(RV)-response(QoI) data pair of high-fidelity model + + Heteroscedastic Gaussian Process + ------------------------------------ + When the noise in the response surface is expected to vary across the domains, a heteroscedastic measurement noise model should be introduced. See the :ref:`theory manual` for more. + + .. _figSimStoch1: + + .. figure:: figures/SimCenterUQ/Surrogate_Hetero.png + :align: center + :figclass: align-center + :width: 900 + + Input fields for heteroscedastic GP + + Heteroscedastic Gaussian Process can be trained by selecting 'Heteroscedastic' option in the 'Nugget Variance' field. The following two parameters are requested: + + * **Number of samples to be replicated (A)** : From the number of unique samples specified in the 'Number of Samples' field, decide how many of them will have replications. + * **Number of replications per sample (B)** : Specify how many replications will be generated for the number of samples specified in A. + * Without DoE, the total number of simulations required is then 'Number of Samples':math:`+A(B-1)`. RV (Random Variables) Tab -------------------------- -**Case 1 and 2**: The bounds of RVs need to cover the domain of interest in future applications, while it should not be unnecessarily stretched. **Input type** and **Distribution** should be set to **Parameters** and **Uniform**. When dataset is provided, make sure to match the order of RVs in the **RV tab** to the order of data columns. Any correlation values will be ignored. +.. only:: quoFEM + + **Case 1 and 2**: + +The bounds of RVs need to cover the domain of interest in future applications, while it should not be unnecessarily stretched. **Input type** and **Distribution** should be set to **Parameters** and **Uniform**. When a dataset is provided, make sure to match the order of RVs in the **RV tab** to the order of data columns. Any correlation values will be ignored. .. _figSim7: .. figure:: figures/Surrogate7_SimUQ.jpg :align: center :figclass: align-center - :width: 1200 + :width: 900 Example of RV tab -**Case 3**: **RV data tab** will be populated automatically as soon as the dataset is imported. +.. only:: quoFEM + + **Case 3**: **RV data tab** will be populated automatically as soon as the dataset is imported. Output description ^^^^^^^^^^^^^^^^^^^ Goodness-of-Fit ----------------- -Once the training is completed, the following three verification measures are presented based on leave-one-out cross-validation (LOOCV) error estimation. +Once the training is completed, the following three verification measures are presented based on leave-one-out cross-validation (LOOCV) error estimation. * **Leave-one-out cross-validation (LOOCV)** - | LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` at each sample location :math:`\boldsymbol{x}_k` is obatined by the following procedure: A temporary surrogate model :math:`\hat{\boldsymbol{y}}=f^{sur}_{loo,k}(\boldsymbol{\boldsymbol{x}})` is constructed using the samples :math:`\{\boldsymbol{x}_1,\boldsymbol{x}_2,...,\boldsymbol{x}_{k-1},\boldsymbol{x}_{k+1},...,\boldsymbol{x}_N\}` and the calibrated parameters, and the prediction :math:`\hat{\boldsymbol{y}}_k=f^{sur}_{loo,k}(\boldsymbol{x}_k)` is compared with the exact outcome :math:`y_k=f(\boldsymbol{x}_k)`. + | LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` at each sample location :math:`\boldsymbol{x}_k` is obatined by the following procedure: A temporary surrogate model :math:`\hat{\boldsymbol{y}}=f^{sur}_{loo,k}(\boldsymbol{\boldsymbol{x}})` is constructed using the samples :math:`\{\boldsymbol{x}_1,\boldsymbol{x}_2,...,\boldsymbol{x}_{k-1},\boldsymbol{x}_{k+1},...,\boldsymbol{x}_N\}` and the calibrated parameters, and the prediction :math:`\hat{\boldsymbol{y}}_k=f^{sur}_{loo,k}(\boldsymbol{x}_k)` is compared with the exact outcome . + -* **R2 error** +We provide different verification measures for two different cases. - | R2 error is defined in terms of the total sum of squares over the residual sum of squares - .. math:: - :label: R2 +.. only:: EEUQ_app + + .. Tip:: Due to the stochasticity in the ground motion, EE-UQ concerns case (ii). - \begin{align*} - R^2 &= 1 - \frac{\sum^N_{k=1} (\hat{y}_k-\mu_\hat{y})^2}{\sum^N_{k=1} (\hat{y}_k-y_k)^2} - \end{align*} +(i) When nugget variance is low : The LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` is expected to match the exact outcome :math:`\boldsymbol{y_k}=f(\boldsymbol{x}_k)` when the surrogate model is well-trained. To quantify the goodness, R2 error, normalized root-mean-squared-error (NRMSE), and correlation coefficient are provided: - | The surrogate model is considered well-trained when the **R2 (<1) approaches 1** - + * **R2 error** -* **Normalized root-mean-squared-error (NRMSE)** + | R2 error is defined in terms of the total sum of squares over the residual sum of squares - .. math:: - :label: NRMSE + .. math:: + :label: R2 - \begin{align*} - \rm{NRMSE} ~ &= \frac{\sqrt{\frac{1}{N_t} \sum^{N_t}_{k=1} (y_k-\hat{y}_k)^2}}{\max_{k=1,...,N_t}(y_k)-\min_{k=1,...,N_t}(y_k)} - \end{align*} + \begin{align*} + R^2 &= 1 - \frac{\sum^N_{k=1} (\hat{y}_k-\mu_\hat{y})^2}{\sum^N_{k=1} (\hat{y}_k-y_k)^2} + \end{align*} - | The surrogate model is considered well-trained when the **NRMSE (>0) approaches 0** + | The surrogate model is considered well-trained when the **R2 (<1) approaches 1** + -* **Correlation coefficient** + * **Normalized root-mean-squared-error (NRMSE)** - | Correlation coefficient is a statistic that measures linear correlation between two variables + .. math:: + :label: NRMSE - .. math:: - :label: corr + \begin{align*} + \rm{NRMSE} ~ &= \frac{\sqrt{\frac{1}{N_t} \sum^{N_t}_{k=1} (y_k-\hat{y}_k)^2}}{\max_{k=1,...,N_t}(y_k)-\min_{k=1,...,N_t}(y_k)} + \end{align*} - \rho_{y,\hat{y}} = \frac{\sum^N_{k=1}(y_k-\mu_{y})(\hat{y}_k-\mu_{\hat{y}})} {\sigma_y \sigma_\hat{y}} + | The surrogate model is considered well-trained when the **NRMSE (>0) approaches 0** + * **Correlation coefficient** - | where - | :math:`\mu_{y}` : mean of :math:`\{y_k\}` - | :math:`\mu_{\hat{y}}`: mean of :math:`\{\hat{y}_k\}` - | :math:`\sigma_{y}`: standard deviation of :math:`\{y_k\}` - | :math:`\sigma_{\hat{y}}`: standard deviation of :math:`\{\hat{y}_k\}` + | Correlation coefficient is a statistic that measures linear correlation between two variables - | The surrogate model is considered well-trained when the **correlation coefficient (** :math:`-1<\rho<1` **) approaches 1** + .. math:: + :label: corr + \rho_{y,\hat{y}} = \frac{\sum^N_{k=1}(y_k-\mu_{y})(\hat{y}_k-\mu_{\hat{y}})} {\sigma_y \sigma_\hat{y}} -* Additionally **scatter plot** between the predicted and exact responses are presented: Well-trained model will form a clear diagonal line while poorly trained model are more scattered around. + + | where + | :math:`\mu_{y}` : mean of :math:`\{y_k\}` + | :math:`\mu_{\hat{y}}`: mean of :math:`\{\hat{y}_k\}` + | :math:`\sigma_{y}`: standard deviation of :math:`\{y_k\}` + | :math:`\sigma_{\hat{y}}`: standard deviation of :math:`\{\hat{y}_k\}` + + | The surrogate model is considered well-trained when the **correlation coefficient (** :math:`-1<\rho<1` **) approaches 1** + + +(ii) When nugget variance is high : The distance between LOOCV prediction :math:`\hat{\boldsymbol{y}}_k` and the exact outcome :math:`\boldsymbol{y_k}=f(\boldsymbol{x}_k)` is expected to follow a normal distribution when the surrogate model is well-trained. To quantify the goodness, inter-quartile ratio (IQR) and Cramer-Von Mises statistics can be evaluated: + + * **Inter-quartile ratio (IQR)**: IQR provides the ratio of the sample QoIs that lies in 25-75% LOOCV prediction bounds (interquartile range). The IQR values should theoretically approach 0.5 if the prediction is accurate. + + * **Cramer-Von Mises statistics**: Cramer-Von Mises statistics calculate the normality score. The assumption of a GP is that the observations follow a normal distribution conditional on the input parameters. To assess the normality of the model predictions, the difference between the mean prediction :math:`\hat{y}_k` and the sample observation :math:`y_k` value is divided by the standard deviation prediction from surrogate :math:`\hat{\sigma}_{y,k}`: + + .. math:: + :label: normed + + u_k = \frac{y_k-\hat{y}_k} {\hat{\sigma}_{y,k}} + + + If the values of :math:`{u_k}` follow the standard normal distribution, the resulting surrogate model may be considered well-constructed. The Cramer-Von Mises test is calculated using the ``scipy.stats.cramervonmises`` function in the Python package Scipy, and the resulting p-value is displayed. Conventionally, if the p-value exceeds a significance threshold, e.g. 0.05, the null hypothesis that the samples are from a normal distribution is not rejected, meaning the samples may be considered to follow a Gaussian distribution. + + +Additionally, **scatter plot** between the predicted and exact responses is presented: Well-trained model will form a clear diagonal line in case (i), or be distributed normally around the diagonal line in case (ii). A poorly trained model will have points that are more scattered around. .. _figSim8: @@ -343,13 +445,12 @@ Once the training is completed, the following three verification measures are pr .. figure:: figures/Surrogate8_SimUQ.jpg :align: center :figclass: align-center - :width: 1200 + :width: 900 Well-trained surrogate (left) and poorly trained surrogate (right) models .. Note:: - Since these validation measures are calculated from the cross-validation predictions, they can be **biased**, particularly when highly localized nonlinear range exists in actual response surface and those regions are not covered by the training samples. The introduction of adaptive design of experiments helps to suppress the bias by enabling the targeted selection of simulation points around potentially faulty regions. - + Since these validation measures are calculated from the cross-validation predictions, they can be **biased**, particularly when a highly localized nonlinear range exists in the actual response surface, and those regions are not covered by the training samples. The introduction of adaptive design of experiments helps to suppress the bias by enabling the targeted selection of simulation points around potentially faulty regions. .. Warning:: Note that GP-based surrogate models can be used to fit only smooth, continuous functions. When the surrogate model is poorly trained, a parametric study is highly recommended to check any possible discontinuity presented in the simulation model. @@ -357,7 +458,13 @@ Once the training is completed, the following three verification measures are pr Saving Options -------------- -* **Save GP Model**: The constructed surrogate model is saved. Two files and a folder will be saved, which are the **SurroateGP Info File** (default name: ``SimGpModel.json``), **SurroateGP model file** (default name: ``SimGpModel.pkl``), and **Simulation template directory** that contains the simulation model information (``templatedir_SIM``). **IMPORTANT**: User may NOT change the name of the template directory ``templatedir_SIM``. +* **Save GP Model**: The constructed surrogate model is saved. One main file and one auxiliary folder will be saved. + + - **SurroateGP Info File** (default name: ``SimGpModel.json``) : This file contains information required to quickly reconstruct the surrogate model and predict the response for different input realizations. This can be later imported in EEUQ. + - **Simulation template directory** (default name: ``tmplatedir_SIM``) : This folder contains all the scripts and commands to run the original dynamic time history analysis. This folder can later be imported into EEUQ along with the surrogate model to alternate between original simulations and surrogate predictions or compare the surrogate predictions to the response of the original model. + + - Only for the multi-fidelity case in quoFEM, additional **SurroateGP model file** (default name: ``SimGpModel.pkl``) will be written along with the above two. + .. warning:: @@ -371,7 +478,7 @@ Saving Options .. figure:: figures/Surrogate9_SimUQ.jpg :align: center :figclass: align-center - :width: 1200 + :width: 900 Saving options @@ -386,7 +493,5 @@ Saving Options Example outputs from saving options - - .. [Patsialis2021] - Patsialis, D., and A. A. Taflanidis. (2021). Multi-fidelity Monte Carlo for seismic risk assessment applications. *Structural Safety* 93: 102129. \ No newline at end of file + Patsialis, D., and A. A. Taflanidis. (2021). Multi-fidelity Monte Carlo for seismic risk assessment applications. *Structural Safety* 93: 102129. diff --git a/docs/_sources/common/user_manual/usage/desktop/UQ.rst.txt b/docs/_sources/common/user_manual/usage/desktop/UQ.rst.txt index 5656c6ec..389d2263 100644 --- a/docs/_sources/common/user_manual/usage/desktop/UQ.rst.txt +++ b/docs/_sources/common/user_manual/usage/desktop/UQ.rst.txt @@ -9,7 +9,7 @@ The first selection panel the user must select from and enter data into is the * .. only:: quoFEM_app - The **UQ Engine** options currently available are Dakota, SimCenterUQ, and UCSD-UQ. Users can also configure quoFEM to use their own UQ methods and algorithms in the quoFEM workflow by selecting the CustomUQ option. + The **UQ Engine** options currently available are Dakota, SimCenterUQ, and UCSD-UQ. Users can also configure |appName| to use their own UQ methods and algorithms in the |appName| workflow by selecting the CustomUQ option. UQ Features At-a-Glance ------------------------- @@ -170,7 +170,7 @@ The following categories are available: :quoFEM:DakotaBayesianCalibration :quoFEM:DakotaGradientFreeOptimization -.. only:: quoFEM_app +.. only:: quoFEM_app or EEUQ_app SimCenter UQ Engine ------------------- @@ -196,6 +196,7 @@ The following categories are available: SimCenterUQSurrogate SimCenterUQPLoM +.. only:: quoFEM_app UCSD UQ Engine -------------- @@ -221,7 +222,7 @@ The following categories are available: Custom UQ Engine ---------------- - The **CustomUQ** option enables users to switch out the UQ engine in the quoFEM workflow such that different methods and tools can be applied within the SimCenter framework with minimal effort on the part of the user. The CustomUQ option can be accessed as shown below: + The **CustomUQ** option enables users to switch out the UQ engine in the |appName| workflow such that different methods and tools can be applied within the SimCenter framework with minimal effort on the part of the user. The CustomUQ option can be accessed as shown below: .. _figCustomUQ: .. figure:: figures/customUQ.png @@ -243,28 +244,3 @@ The following categories are available: Configuring_CustomUQ -.. only:: EEUQ_app - - SimCenter UQ Engine - ------------------- - - The **SimCenterUQ** engine is a UQ engine developed in-house at the SimCenter that accommodates different UQ methods, which are organized into categories that can be accessed through a pull-down menu, as shown in :numref:`figSimCenterUQ`. - - .. _figSimCenterUQ: - - .. figure:: figures/SimCenterUQ.png - :align: center - :figclass: align-center - :width: 1200 - - SimCenterUQ engine and category selection. - - The following category options are available: - - - .. toctree-filt:: - :maxdepth: 1 - - SimCenterUQSampling - SimCenterUQSensitivity - SimCenterUQPLoM diff --git a/docs/_sources/common/user_manual/usage/desktop/quoFEM/FEM.rst.txt b/docs/_sources/common/user_manual/usage/desktop/quoFEM/FEM.rst.txt index 179f0775..04d91522 100644 --- a/docs/_sources/common/user_manual/usage/desktop/quoFEM/FEM.rst.txt +++ b/docs/_sources/common/user_manual/usage/desktop/quoFEM/FEM.rst.txt @@ -182,22 +182,7 @@ In place of the physical simulation models, the Gaussian process surrogate model Input for Surrogate model FEM Application -When users select the SurrogateGP option, they are requested to provide the following files: - -.. Note:: - - All the required input files described below can be generated from the quoFEM. See :ref:`lblSimSurrogate`. - - -1. **Surrogate info file (.json)**: This file contains the meta-information about the surrogate model. Users can open it with a text editor to see the contents. - -2. **Surrogate model file (.pkl)**: Surrogate model is saved in a binary format. GPy python package is required to view or use this model outside of quoFEM. - -Additionally, if users want to allow alternation between the exact simulation model and surrogate model depending on the predicted error rate, an additional folder that contains the simulation information is required (See **Run Exact FEM Simulation** option below). Note that this folder is not explicitly specified in the input panel, but it needs to be located in the specific directory under the specific name (``templatedir_SIM``). - -3. **Simulation template folder (templatedir_SIM)**: This folder contains the simulator scripts (workflow driver) and required files to run the original simulation model. **Note that the folder should be located in the same directory as the Surrogate info file**. If the folder is not presented in the right directory, the analysis can fail. The name of the folder should not be modified. - -Once the files are loaded, users may choose the tolerance level of the predictive variance. +When users select the SurrogateGP option, they are requested to provide **Surrogate info file (.json)** that contains the information about the surrogate model. Users can open it with a text editor to see the contents. Once the file is loaded, users may choose the tolerance level of the predictive variance. * **Maximum Allowable Normalized Variance**: Prediction variance divided by the variance level of the training dataset. If more than one QoIs is introduced, only the highest normalized variance value will be considered. @@ -211,8 +196,11 @@ Users may either stop the analysis, continue, or run exact FEM simulations whene * **Continue**: The tolerance level is ignored and the analysis is continued. This option is not recommended. -* **Run Exact FEM Simulation**: The program will run the exact FEM simulation user provided in the training session. In case the surrogate model is constructed purely based on the data and without any model information (case 3 in section 2.1.2.2), this option will be disabled. +* **Run Exact FEM Simulation**: The program will run the exact FEM simulation user provided in the training session. In case the surrogate model is constructed purely based on the data and without any model information (case 3 in section 2.1.2.2), this option will be disabled. To allow this option, an additional folder that contains the simulation information is required. This folder, called **Simulation template folder (templatedir_SIM)**, contains the simulator scripts (workflow driver) and required files to run the original simulation model. This file can be obtained by + +.. Note:: + The **surrogate model file (.json)** and **Simulation template folder (templatedir_SIM)** can be generated from the quoFEM. See :ref:`lblSimSurrogate`. Additionally, **GP output** can be set as either the *median prediction* or a *random sample* generated from the normal distribution (or lognormal distribution if the user used log-transform when training) with the predictive median and variance. **NOTE:** the random generator does not account for the Gaussian process correlation, and each realization of QoI given RVs is independent of each other. Only users familiar with GP modeling and who understand the limitation are recommended to use the *random sample* option. diff --git a/docs/_sources/common/user_manual/usage/desktop/usage.rst.txt b/docs/_sources/common/user_manual/usage/desktop/usage.rst.txt index 2daf9943..dead2017 100644 --- a/docs/_sources/common/user_manual/usage/desktop/usage.rst.txt +++ b/docs/_sources/common/user_manual/usage/desktop/usage.rst.txt @@ -1,8 +1,8 @@ .. _lbl-usage: -********** -User Guide -********** +************** +User Interface +************** The |app| is a scientific workflow application that creates workflows and runs them in the background. These workflows can involve multiple different workflow applications (see more information the backend and workflows under :ref:`lblArchitecture`). Once the |app| is started, the user is presented with the user interface (UI) shown in |figGenericUI|. This interface allows the user to select the applications to run in a workflow, input the controlling parameters for each of these applications, start the workflow either locally or @@ -76,36 +76,24 @@ remotely, and finally view the results of the simulation. The main window of the UI is made up from the following areas: -#. **Input Panel Selection Ribbon** - - | The ribbon on the left side provides buttons that represent each step of the simulation workflow (e.g., **EVT: Event Description**, **SIM: Structural Model**, **RES: Results**). Clicking on one of these buttons shows the corresponding workflow applications in the central input panel. - -#. **Input Panel** - - | The input panel is the large central area of the user-interface where the user provides input for the workflow applications. You can select a workflow application using the drop-down menu at the top of each input panel. Each panel collects input parameters and paths to files with input data for the selected workflow application. The RES (results) panel is different; it shows the results after a simulation is completed. - - #. **Login Button** | The **Login** button is at the top right of the user interface. You can only launch jobs on DesignSafe after logging in to DesignSafe using your DesignSafe login and password. Pressing the login button will open up the login window to enter this information. You can register for an account on the `DesignSafe-CI `_ website [#]_. +#. **Message Area** -#. **Push Buttons** - - | This is the area near the bottom of the UI with the following four buttons: - - * **RUN**: Run the simulation locally on your computer. - * **RUN at DesignSafe**: Process the input information and send the data to DesignSafe. The simulation will be run there on a supercomputer and the results will be stored in your DesignSafe jobs folder. - * **GET from DesignSafe**: Obtain the list of jobs you ran on DesignSafe. You can select a job to download its results to your computer. - * **Exit**: Close the application. + | The message area is located in the bottom of the UI and displays the status and error messages for a running background application. The message area is a dockable dialog which can be resized, moved, and closed as needed. The dialog visibility can be toggled by clicking on the menu item **View** -> **Program Output**. If moved from its default location, the status dialog can be restored to the bottom of the UI by dragging the dialog back to the bottom of the UI and hovering over the area. + +#. **Input Panel** + | The input panel is the large central area of the user-interface where the user provides input for the workflow applications. You can select a workflow application using the drop-down menu at the top of each input panel. Each panel collects input parameters and paths to files with input data for the selected workflow application. The RES (results) panel is different; it shows the results after a simulation is completed. -#. **Message Area** - | The message area is located in the bottom of the UI and displays the status and error messages for a running background application. The message area is a dockable dialog which can be resized, moved, and closed as needed. The dialog visibility can be toggled by clicking on the menu item **View** -> **Program Output**. If moved from its default location, the status dialog can be restored to the bottom of the UI by dragging the dialog back to the bottom of the UI and hovering over the area. +#. **Input Panel Selection Ribbon** + | The ribbon on the left side provides buttons that represent each step of the simulation workflow (e.g., **EVT: Event Description**, **SIM: Structural Model**, **RES: Results**). Clicking on one of these buttons shows the corresponding workflow applications in the central input panel. -The following sections of the user guide describe in detail each of the steps presented in the input panel selection ribbon and the corresponding workflow applications available in the tool: + The following sections of the user guide describe in detail each of the steps presented in the input panel selection ribbon and the corresponding workflow applications available in the tool: .. toctree-filt:: :maxdepth: 1 @@ -150,54 +138,74 @@ The following sections of the user guide describe in detail each of the steps pr :R2D:R2DTool/RES :Hydro:hydro/resHydro + +#. **Push Buttons** -**Running Jobs Remotely** + | This is the area near the bottom of the UI with the following four buttons: -.. only:: notR2D + * **RUN**: Run the simulation locally on your computer. + * **RUN at DesignSafe**: Process the input information and send the data to DesignSafe. The simulation will be run there on a supercomputer and the results will be stored in your DesignSafe jobs folder. + * **GET from DesignSafe**: Obtain the list of jobs you ran on DesignSafe. You can select a job to download its results to your computer. + * **Exit**: Close the application. - Clicking on the **RUN at DesignSafe** button will show the remote job submission dialog shown below (:numref:`figRemJobPanel-notR2D`) - .. _figRemJobPanel-notR2D: + **Running Jobs Remotely** - .. figure:: figures/RemoteJobPanel_sWHALE.png - :align: center - :scale: 25% - :figclass: align-center + .. only:: notR2D - Remote job submission dialog. + Clicking on the **RUN at DesignSafe** button will show the remote job submission dialog shown below (:numref:`figRemJobPanel-notR2D`) -.. only:: R2D_app + .. _figRemJobPanel-notR2D: - Clicking on the **RUN at DesignSafe** button will show the remote job submission dialog shown below (:numref:`figRemJobPanel-R2D`) + .. figure:: figures/RemoteJobPanel_sWHALE.png + :align: center + :scale: 25% + :figclass: align-center - .. _figRemJobPanel-R2D: + Remote job submission dialog. - .. figure:: figures/RemoteJobPanel_rWHALE.png - :align: center - :figclass: align-center + .. only:: R2D_app - Remote job submission dialog. + Clicking on the **RUN at DesignSafe** button will show the remote job submission dialog shown below (:numref:`figRemJobPanel-R2D`) -Descriptions and guidelines for each input are given below: + .. _figRemJobPanel-R2D: -* **Job Name**: An easy to remember and meaningful name to differentiate this job from others. + .. figure:: figures/RemoteJobPanel_rWHALE.png + :align: center + :figclass: align-center -* **Number of Nodes**: Number of compute nodes requested. Each node includes several cores and each core can run one thread of a parallel calculation. + Remote job submission dialog. -.. note:: The number of nodes requested affects the time it takes for the job to start. Jobs are queued by a so-called scheduler on the supercomputer that optimizes its performance. Jobs that use 1-2 nodes typically start almost immediately, while a larger number of nodes (e.g., more than 10) may stay in the queue for several hours. + Descriptions and guidelines for each input are given below: -* **Number of processes per Node**: Number of processors that will be utilized on each node. It is advantageous to use all available processors of a node when the memory demand of a job is small. When a job is memory intensive, e.g., large finite element models, utilizing all available processors may overwhelm the memory cache of a core and the computation will slow down. Currently, the maximum number of processors is 48 and the minimum is 1. + * **Job Name**: An easy to remember and meaningful name to differentiate this job from others. -.. only:: R2D_app + * **Number of Nodes**: Number of compute nodes requested. Each node includes several cores and each core can run one thread of a parallel calculation. + + .. note:: The number of nodes requested affects the time it takes for the job to start. Jobs are queued by a so-called scheduler on the supercomputer that optimizes its performance. Jobs that use 1-2 nodes typically start almost immediately, while a larger number of nodes (e.g., more than 10) may stay in the queue for several hours. + + * **Number of processes per Node**: Number of processors that will be utilized on each node. It is advantageous to use all available processors of a node when the memory demand of a job is small. When a job is memory intensive, e.g., large finite element models, utilizing all available processors may overwhelm the memory cache of a core and the computation will slow down. Currently, the maximum number of processors is 48 and the minimum is 1. + + .. only:: R2D_app - * **Number of Buildings per Task**: Number of buildings per task. + * **Number of Buildings per Task**: Number of buildings per task. - .. note:: Each task will run in parallel on its own processor. The number of tasks is equal to the number of nodes multiplied by the number of processes per node. Since it takes time to assign buildings to a task and spool up the computation, it may be advantageous to assign a batch of buildings to a task when the individual building analyses are expected to have a short runtime. A good approach is to estimate the total number of buildings to be analyzed and then select the **Number of Nodes**, **Number of processors per Node**, and **Number of Buildings per Task** so that the buildings can be strategically distributed across all processors. This is so that all processors are effectively utilized and do not sit idle. + .. note:: Each task will run in parallel on its own processor. The number of tasks is equal to the number of nodes multiplied by the number of processes per node. Since it takes time to assign buildings to a task and spool up the computation, it may be advantageous to assign a batch of buildings to a task when the individual building analyses are expected to have a short runtime. A good approach is to estimate the total number of buildings to be analyzed and then select the **Number of Nodes**, **Number of processors per Node**, and **Number of Buildings per Task** so that the buildings can be strategically distributed across all processors. This is so that all processors are effectively utilized and do not sit idle. + + * **Save Intermediate Results**: Save intermediate results to a compressed folder. This is only recommended for debugging purposes because intermediate results will use a substantial amount of disk space. + + * **Max Run Time**: The maximum time a job will run on the DesignSafe computer, in the format of Hours:Min:Sec. The job will be terminated and the intermediate results will be lost if the run time exceeds this threshold. The maximum runtime allowed for a job on DesignSafe is 48 hours. + + .. note:: You can check the status of a remote run by clicking on the **GET from DesignSafe** button. If the analysis status shows FAILED, log into your DesignSafe account to view the detailed output of the run. First, log in with your credentials on the `DesignSafe `_ webpage. Next, use the menu to navigate to **Workspace** -> **Tools & Applications** -> **Job Status** and then select a job and click on **More info** to view the status of that job. + + +.. only:: R2D_app - * **Save Intermediate Results**: Save intermediate results to a compressed folder. This is only recommended for debugging purposes because intermediate results will use a substantial amount of disk space. + 6. **Main Menu** -* **Max Run Time**: The maximum time a job will run on the DesignSafe computer, in the format of Hours:Min:Sec. The job will be terminated and the intermediate results will be lost if the run time exceeds this threshold. The maximum runtime allowed for a job on DesignSafe is 48 hours. + | The main menu, which contains the typical pull down options found in almost all desktop applications, contains three additional options **Examples**, **Tools** and **GIS Map**. The **Examples** pull down provides a way to download and then load the examples described in this manual. The **Tools** pull down provide a number of options for generating inputs and additional attributed for the various input widgets of the tool, e.g. a user can use the Ground motion selection tool to create a set of ground motions using OpenSHA, PEER, etc., which can be subsequently used in the **HAZ** part of the workflow. The **GIS Map** pulldown provides access to the standard **QGIS** options, e.g. adding layers, maps, plugins. -.. note:: You can check the status of a remote run by clicking on the **GET from DesignSafe** button. If the analysis status shows FAILED, log into your DesignSafe account to view the detailed output of the run. First, log in with your credentials on the `DesignSafe `_ webpage. Next, use the menu to navigate to **Workspace** -> **Tools & Applications** -> **Job Status** and then select a job and click on **More info** to view the status of that job. + .. include:: R2DTool/tools.rst + -.. [#] For more help on external services provided by DesignSafe-CI, such as creating an account, we encourage users to explore their `documentation `_ or consider `submitting a ticket `_. \ No newline at end of file +.. [#] For more help on external services provided by DesignSafe-CI, such as creating an account, we encourage users to explore their `documentation `_ or consider `submitting a ticket `_. diff --git a/docs/_sources/index.rst.txt b/docs/_sources/index.rst.txt index ea047c90..265384db 100644 --- a/docs/_sources/index.rst.txt +++ b/docs/_sources/index.rst.txt @@ -115,14 +115,9 @@ :Hydro:common/user_manual/usage/desktop/hydro/resguide :Hydro:common/user_manual/usage/desktop/hydro/helpvideo - :EEUQ:common/user_manual/troubleshooting/desktop/troubleshooting - :WEUQ:common/user_manual/troubleshooting/desktop/troubleshooting - :PBE:common/user_manual/troubleshooting/desktop/troubleshooting - :quoFEM:common/user_manual/troubleshooting/desktop/troubleshooting - :R2D:common/user_manual/troubleshooting/desktop/troubleshooting - :pelicun:common/user_manual/troubleshooting/pelicun/troubleshooting - :Hydro:common/user_manual/troubleshooting/pelicun/errors + :R2D:common/user_manual/usage/desktop/R2DTool/tools + :EEUQ:common/user_manual/examples/desktop/examples :WEUQ:common/user_manual/examples/desktop/examples :PBE:common/user_manual/examples/desktop/examples @@ -131,6 +126,14 @@ :R2D:common/user_manual/examples/desktop/examples :pelicun:common/user_manual/examples/pelicun/examples + :EEUQ:common/user_manual/troubleshooting/desktop/troubleshooting + :WEUQ:common/user_manual/troubleshooting/desktop/troubleshooting + :PBE:common/user_manual/troubleshooting/desktop/troubleshooting + :quoFEM:common/user_manual/troubleshooting/desktop/troubleshooting + :R2D:common/user_manual/troubleshooting/desktop/troubleshooting + :pelicun:common/user_manual/troubleshooting/pelicun/troubleshooting + :Hydro:common/user_manual/troubleshooting/pelicun/errors + :Hydro:common/user_manual/usage/desktop/hydro/bestpractices :EEUQ:common/reqments/EEUQ diff --git a/docs/common/developer_manual/architecture/desktop/applications/DLApps.html b/docs/common/developer_manual/architecture/desktop/applications/DLApps.html index 7e8ef42b..4f7a6f25 100644 --- a/docs/common/developer_manual/architecture/desktop/applications/DLApps.html +++ b/docs/common/developer_manual/architecture/desktop/applications/DLApps.html @@ -123,9 +123,9 @@
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                                                                  1.1. Install Dependencies

                                                                  First, ensure the following dependencies are installed:

                                                                    -
                                                                  • C++17 compliant compiler: many of the workflow applications included use C++17 features; consequently, they may need a newer C++17 compliant compiler. For Windows users, MSVC in Visual Studio (Community Edition) can be used. Some extensions of Visual Studio are also needed: Open Visual Studio Installer, go to Installed / More / Modify, under the Workloads tab, check Desktop development with C++ and Visual Studio extension development; under the Individual components tab, check C++ CMake tools for windows. Then click Modify.

                                                                  • +
                                                                  • C++17 compliant compiler: many of the workflow applications included use C++17 features; consequently, they may need a newer C++17 compliant compiler. For Windows users, MSVC in Visual Studio 2019 (Community Edition) can be used. Some extensions of Visual Studio are also needed: Open Visual Studio Installer, go to Installed / More / Modify, under the Workloads tab, check Desktop development with C++ and Visual Studio extension development; under the Individual components tab, check C++ CMake tools for windows. Then click Modify.

                                                                  • OpenSees: The workflow applications require an installation of OpenSees to carry out a structural analysis using the finite element method.

                                                                  • DAKOTA: The workflow applications require an installation of DAKOTA to handle and propagate the uncertainties defined in the input files for the workflow applications.

                                                                  • Python: The workflow requires at least Python 3.7.

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                                                                              -../../../../_images/Surrogate8_SimUQ.jpg -

                                                                              Fig. 3.1.3.3.12 Well-trained surrogate (left) and poorly trained surrogate (right) models

                                                                              + +
                                                                            • When nugget variance is high : The distance between LOOCV prediction \(\hat{\boldsymbol{y}}_k\) and the exact outcome \(\boldsymbol{y_k}=f(\boldsymbol{x}_k)\) is expected to follow a normal distribution when the surrogate model is well-trained. To quantify the goodness, inter-quartile ratio (IQR) and Cramer-Von Mises statistics can be evaluated:

                                                                            • + +
                                                                              +
                                                                                +
                                                                              • Inter-quartile ratio (IQR): IQR provides the ratio of the sample QoIs that lies in 25-75% LOOCV prediction bounds (interquartile range). The IQR values should theoretically approach 0.5 if the prediction is accurate.

                                                                              • +
                                                                              • Cramer-Von Mises statistics: Cramer-Von Mises statistics calculate the normality score. The assumption of a GP is that the observations follow a normal distribution conditional on the input parameters. To assess the normality of the model predictions, the difference between the mean prediction \(\hat{y}_k\) and the sample observation \(y_k\) value is divided by the standard deviation prediction from surrogate \(\hat{\sigma}_{y,k}\):

                                                                                +
                                                                                +(3.1.3.3.5)\[ u_k = \frac{y_k-\hat{y}_k} {\hat{\sigma}_{y,k}}\]
                                                                                +
                                                                              • +
                                                                              +
                                                                              +

                                                                              If the values of \({u_k}\) follow the standard normal distribution, the resulting surrogate model may be considered well-constructed. The Cramer-Von Mises test is calculated using the scipy.stats.cramervonmises function in the Python package Scipy, and the resulting p-value is displayed. Conventionally, if the p-value exceeds a significance threshold, e.g. 0.05, the null hypothesis that the samples are from a normal distribution is not rejected, meaning the samples may be considered to follow a Gaussian distribution.

                                                                              +
                                                                              +
                                                                              +

                                                                              Additionally, scatter plot between the predicted and exact responses is presented: Well-trained model will form a clear diagonal line in case (i), or be distributed normally around the diagonal line in case (ii). A poorly trained model will have points that are more scattered around.

                                                                              +
                                                                              +../../../../_images/Surrogate8_SimUQ.jpg +

                                                                              Fig. 3.1.3.3.14 Well-trained surrogate (left) and poorly trained surrogate (right) models

                                                                              Note

                                                                              -

                                                                              Since these validation measures are calculated from the cross-validation predictions, they can be biased, particularly when highly localized nonlinear range exists in actual response surface and those regions are not covered by the training samples. The introduction of adaptive design of experiments helps to suppress the bias by enabling the targeted selection of simulation points around potentially faulty regions.

                                                                              +

                                                                              Since these validation measures are calculated from the cross-validation predictions, they can be biased, particularly when a highly localized nonlinear range exists in the actual response surface, and those regions are not covered by the training samples. The introduction of adaptive design of experiments helps to suppress the bias by enabling the targeted selection of simulation points around potentially faulty regions.

                                                                              Warning

                                                                              @@ -546,8 +436,16 @@

                                                                              Goodness-of-Fit

                                                                              Saving Options

                                                                              - -
                                                                              -../../../../_images/Surrogate9_SimUQ.jpg -

                                                                              Fig. 3.1.3.3.13 Saving options

                                                                              +
                                                                              +../../../../_images/Surrogate9_SimUQ.jpg +

                                                                              Fig. 3.1.3.3.15 Saving options

                                                                              -
                                                                              +
                                                                              ../../../../_images/Surrogate10_SimUQ.png -

                                                                              Fig. 3.1.3.3.14 Example outputs from saving options

                                                                              +

                                                                              Fig. 3.1.3.3.16 Example outputs from saving options

                                                                              -
                                                                              Patsialis2021
                                                                              +
                                                                              Patsialis2021

                                                                              Patsialis, D., and A. A. Taflanidis. (2021). Multi-fidelity Monte Carlo for seismic risk assessment applications. Structural Safety 93: 102129.

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                                                                                        Additionally, GP output can be set as either the median prediction or a random sample generated from the normal distribution (or lognormal distribution if the user used log-transform when training) with the predictive median and variance. NOTE: the random generator does not account for the Gaussian process correlation, and each realization of QoI given RVs is independent of each other. Only users familiar with GP modeling and who understand the limitation are recommended to use the random sample option.

                                                                                        If the user wants to inspect the simulation status or check error/warning messages related to the surrogate model, they can refer to the messages written at: {Local Jobs Directory}/tmp.SimCenter/surrogateLog.err. (Note: {Local Jobs Directory} is specified from the file-preference in the menu bar.)

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                                                                                                      3. User Interface

                                                                                                      The quoFEM app is a scientific workflow application that creates workflows and runs them in the background. These workflows can involve multiple different workflow applications (see more information the backend and workflows under Software Architecture). Once the quoFEM app is started, the user is presented with the user interface (UI) shown in Fig. 3.1. This interface allows the user to select the applications to run in a workflow, input the controlling parameters for each of these applications, start the workflow either locally or remotely, and finally view the results of the simulation.

                                                                                                      @@ -225,41 +225,27 @@

                                                                                                      The main window of the UI is made up from the following areas:

                                                                                                        -
                                                                                                      1. Input Panel Selection Ribbon

                                                                                                        -
                                                                                                        -
                                                                                                        The ribbon on the left side provides buttons that represent each step of the simulation workflow (e.g., EVT: Event Description, SIM: Structural Model, RES: Results). Clicking on one of these buttons shows the corresponding workflow applications in the central input panel.
                                                                                                        -
                                                                                                        -
                                                                                                      2. -
                                                                                                      3. Input Panel

                                                                                                        -
                                                                                                        -
                                                                                                        The input panel is the large central area of the user-interface where the user provides input for the workflow applications. You can select a workflow application using the drop-down menu at the top of each input panel. Each panel collects input parameters and paths to files with input data for the selected workflow application. The RES (results) panel is different; it shows the results after a simulation is completed.
                                                                                                        -
                                                                                                        -
                                                                                                      4. Login Button

                                                                                                        The Login button is at the top right of the user interface. You can only launch jobs on DesignSafe after logging in to DesignSafe using your DesignSafe login and password. Pressing the login button will open up the login window to enter this information. You can register for an account on the DesignSafe-CI website 1.
                                                                                                      5. -
                                                                                                      6. Push Buttons

                                                                                                        +
                                                                                                      7. Message Area

                                                                                                        -
                                                                                                        This is the area near the bottom of the UI with the following four buttons:
                                                                                                        +
                                                                                                        The message area is located in the bottom of the UI and displays the status and error messages for a running background application. The message area is a dockable dialog which can be resized, moved, and closed as needed. The dialog visibility can be toggled by clicking on the menu item View -> Program Output. If moved from its default location, the status dialog can be restored to the bottom of the UI by dragging the dialog back to the bottom of the UI and hovering over the area.
                                                                                                        -
                                                                                                          -
                                                                                                        • RUN: Run the simulation locally on your computer.

                                                                                                        • -
                                                                                                        • RUN at DesignSafe: Process the input information and send the data to DesignSafe. The simulation will be run there on a supercomputer and the results will be stored in your DesignSafe jobs folder.

                                                                                                        • -
                                                                                                        • GET from DesignSafe: Obtain the list of jobs you ran on DesignSafe. You can select a job to download its results to your computer.

                                                                                                        • -
                                                                                                        • Exit: Close the application.

                                                                                                        • -
                                                                                                      8. -
                                                                                                      9. Message Area

                                                                                                        +
                                                                                                      10. Input Panel

                                                                                                        -
                                                                                                        The message area is located in the bottom of the UI and displays the status and error messages for a running background application. The message area is a dockable dialog which can be resized, moved, and closed as needed. The dialog visibility can be toggled by clicking on the menu item View -> Program Output. If moved from its default location, the status dialog can be restored to the bottom of the UI by dragging the dialog back to the bottom of the UI and hovering over the area.
                                                                                                        +
                                                                                                        The input panel is the large central area of the user-interface where the user provides input for the workflow applications. You can select a workflow application using the drop-down menu at the top of each input panel. Each panel collects input parameters and paths to files with input data for the selected workflow application. The RES (results) panel is different; it shows the results after a simulation is completed.
                                                                                                      11. -
                                                                                                      +
                                                                                                    • Input Panel Selection Ribbon

                                                                                                      +
                                                                                                      +
                                                                                                      The ribbon on the left side provides buttons that represent each step of the simulation workflow (e.g., EVT: Event Description, SIM: Structural Model, RES: Results). Clicking on one of these buttons shows the corresponding workflow applications in the central input panel.
                                                                                                      +

                                                                                                      The following sections of the user guide describe in detail each of the steps presented in the input panel selection ribbon and the corresponding workflow applications available in the tool:

                                                                                                      -
                                                                                                      -
                                                                                                      +
                                                                                                    • +
                                                                                                    • Push Buttons

                                                                                                      +
                                                                                                      +
                                                                                                      This is the area near the bottom of the UI with the following four buttons:
                                                                                                      +
                                                                                                      +
                                                                                                        +
                                                                                                      • RUN: Run the simulation locally on your computer.

                                                                                                      • +
                                                                                                      • RUN at DesignSafe: Process the input information and send the data to DesignSafe. The simulation will be run there on a supercomputer and the results will be stored in your DesignSafe jobs folder.

                                                                                                      • +
                                                                                                      • GET from DesignSafe: Obtain the list of jobs you ran on DesignSafe. You can select a job to download its results to your computer.

                                                                                                      • +
                                                                                                      • Exit: Close the application.

                                                                                                        Running Jobs Remotely

                                                                                                        -

                                                                                                        Clicking on the RUN at DesignSafe button will show the remote job submission dialog shown below (Fig. 3.7)

                                                                                                        +
                                                                                                        +

                                                                                                        Clicking on the RUN at DesignSafe button will show the remote job submission dialog shown below (Fig. 3.7)

                                                                                                        +
                                                                                                        ../../../../_images/RemoteJobPanel_sWHALE.png

                                                                                                        Fig. 3.7 Remote job submission dialog.

                                                                                                        -

                                                                                                        Descriptions and guidelines for each input are given below:

                                                                                                        -
                                                                                                          -
                                                                                                        • Job Name: An easy to remember and meaningful name to differentiate this job from others.

                                                                                                        • -
                                                                                                        • Number of Nodes: Number of compute nodes requested. Each node includes several cores and each core can run one thread of a parallel calculation.

                                                                                                        • -
                                                                                                        -
                                                                                                        -

                                                                                                        Note

                                                                                                        -

                                                                                                        The number of nodes requested affects the time it takes for the job to start. Jobs are queued by a so-called scheduler on the supercomputer that optimizes its performance. Jobs that use 1-2 nodes typically start almost immediately, while a larger number of nodes (e.g., more than 10) may stay in the queue for several hours.

                                                                                                        -
                                                                                                        -
                                                                                                          -
                                                                                                        • Number of processes per Node: Number of processors that will be utilized on each node. It is advantageous to use all available processors of a node when the memory demand of a job is small. When a job is memory intensive, e.g., large finite element models, utilizing all available processors may overwhelm the memory cache of a core and the computation will slow down. Currently, the maximum number of processors is 48 and the minimum is 1.

                                                                                                        • -
                                                                                                        -
                                                                                                          -
                                                                                                        • Max Run Time: The maximum time a job will run on the DesignSafe computer, in the format of Hours:Min:Sec. The job will be terminated and the intermediate results will be lost if the run time exceeds this threshold. The maximum runtime allowed for a job on DesignSafe is 48 hours.

                                                                                                        • +
                                                                                                        -
                                                                                                        -

                                                                                                        Note

                                                                                                        -

                                                                                                        You can check the status of a remote run by clicking on the GET from DesignSafe button. If the analysis status shows FAILED, log into your DesignSafe account to view the detailed output of the run. First, log in with your credentials on the DesignSafe webpage. Next, use the menu to navigate to Workspace -> Tools & Applications -> Job Status and then select a job and click on More info to view the status of that job.

                                                                                                        -
                                                                                                        +
                                                                                                      • +
                                                                                                        1

                                                                                                        For more help on external services provided by DesignSafe-CI, such as creating an account, we encourage users to explore their documentation or consider submitting a ticket.

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                                                                                                            Quantified Uncertainty with Optimization for the Finite Element Method (quoF
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,73],agav:19,agaveapi:19,agenc:[],aggreg:[16,18,19,22,24,26,28,47,68,84,106,111,112],agre:19,ahsan:37,ai:10,aid:[10,39,91],aim:[10,12,45,99,100],al:[45,46,47,88,101],albeit:100,aleator:45,aleatori:69,alert:19,algorithm:[8,10,26,28,41,44,45,46,47,53,56,57,59,62,66,67,84,90,96,97,98,99,104,109,110,111,112],algortihm:98,align:[45,59,77,107],all:[10,11,12,15,16,18,19,20,22,23,24,25,26,28,29,30,31,32,40,41,44,45,47,53,55,57,60,62,63,64,65,66,68,70,72,73,74,75,77,78,83,84,93,96,97,99,100,102,108,109,110,112,114],all_bldg:[],allen:29,allevi:47,alloc:55,alloct:55,allow:[10,12,13,25,29,39,41,43,44,53,63,64,72,73,74,75,80,81,83,86,87,90,95,98,99,100,102,104,108,110,112,114],almost:114,alon:97,along:[29,45,47,60,62,63,64,67,97,98,100,102,107,108,110],alp:[64,70,105],alpha:[58,61,102],alreadi:[53,65,77,105,110],also:[10,12,15,19,22,29,30,31,32,45,47,48,51,52,53,56,57,61,62,66,68,70,72,73,74,75,77,85,88,93,95,97,98,99,100,101,102,104,106,107,108,109,110,113],altern:[15,31,45,57,63,72,73,74,75,99,102,104,110,111],although:[13,59],alum:48,alwai:[25,45,55,60,61,63,64,72,73,77,99,107,110],always_xi:29,ambient:[60,62],amd64:22,america:48,among:[10,22,45,100,107,108],amount:[10,39,45,53,55],amplitud:[29,70],amv2:99,amv:99,an:[1,4,10,11,12,14,15,16,18,19,20,22,23,25,26,28,29,30,31,32,34,39,41,43,44,45,47,48,51,52,53,54,55,56,57,59,60,61,62,65,66,67,68,69,70,72,73,74,75,77,86,93,95,96,97,98,99,100,102,103,104,105,106,107,108,109,110,114,115],ana:[],anaconda:77,analog:[10,12,59],analys:[29,51,109,110,113],analysi:[5,9,11,15,26,28,31,36,41,43,44,47,48,53,56,58,59,60,62,63,65,66,67,70,73,75,79,81,86,88,89,90,91,93,95,96,100,102,103,104,105,107,109,110,111,112,113,114],analyt:[41,44,45],analyz:[15,26,29,47,53,57,67,110],ananlysi:47,anaywai:[72,73],anchoragebuild:[],angular_freq:26,ani:[2,10,12,20,22,25,31,38,40,45,47,51,52,53,57,60,62,67,80,82,83,84,85,87,89,90,93,98,99,100,105,107,108,110,112],anlaysi:104,anonym:[51,52],anoth:[10,12,39,45,53,73,75,77,80,81,82,85,99,100,105,110],anotherrandomvari:[95,110],ansi:80,anymor:[72,73,110],anywher:[72,73,75],anza:48,ao:[57,58,61,65,67,110],apach:107,apart:45,api:[10,12,19,31,47],apivatanagul:47,app:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115],appear:[19,20,55,65,68,72,73,77],append:[26,57,74,75],appendix:[],appl:[72,73],appli:[12,23,26,29,39,46,47,48,59,63,64,70,74,75,101,104,108,109],applic:[10,12,15,16,18,19,20,21,22,24,25,26,27,28,29,30,32,34,37,39,45,46,50,51,52,53,54,55,57,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,78,80,83,85,88,91,93,94,95,100,104,107,109,110,112,114,115],applicationagain:[],applicationdata:[20,26,28,29],applict:112,appreci:[51,52],approach:[10,12,25,45,80,82,85,99,100,105,107,109],appropri:[23,26,28,72,73,75,77,100],approv:[72,73],approx:[],approxim:[45,46,61,82,83,85,87,97,98,99,100,106,108,109],apprxim:[],appveyor:31,apriori:108,ar:[1,2,3,8,10,11,12,14,15,16,18,19,20,22,23,24,25,26,28,29,30,31,32,34,36,38,39,40,43,45,46,47,48,50,51,52,53,56,57,58,59,60,61,62,63,64,66,67,68,69,70,72,73,74,75,76,77,79,80,82,83,84,85,86,87,88,89,90,93,95,96,97,98,99,100,101,102,104,105,106,107,108,109,110,111,112,113,114,115],araport:19,arbitrari:[43,45],archaic:43,architectur:[71,83,114,115],archiv:[16,19,22,45,55,76,93],arduino:29,area:[29,47,54,57,58,61,63,65,67,72,73,74,75,81,86,113,114],areafootprint:29,arg:[25,57],argument:[10,12,29,31,45,102,108,111],argv:57,aris:[25,40,100],arm64:77,arm:77,around:[63,68,83,99,107],arrai:[26,60,62,108],arrang:13,arrow:24,art:[45,80,82,85,109],articl:100,artifactori:31,artifici:[45,51,60,62],asarrai:26,asc:47,asce7:81,asce7_windspe:22,asd:[],asimaki:29,ask:[19,53,74,75,93],asm:47,aspect:[25,63],ass:[41,44],assem:43,assembl:[29,43],asses:[87,90],assess:[0,10,16,21,22,24,27,43,47,80,82,83,87,93,107],asset:[3,11,12,15,16,18,19,20,22,24,26,28,29,43,83,87,88,93],assign:[8,15,16,22,24,25,26,28,29,41,44,47,58,59,63,87],assist:107,associ:[4,15,24,41,44,45,55,95,97,98,101,102,106,111],assum:[1,16,29,31,45,47,48,57,59,60,62,66,69,72,73,75,108,110],assumpt:[29,45,48,60,62,66],asymptot:61,atkinson:88,atl:28,atlant:28,atleast_2d:108,attach:53,attempt:[],attribut:[45,101,106],au:[57,58,61,65,67,110],aug:22,augment:[10,12],aup:19,australian:47,auth:19,author:[25,26,28,29,38],auto:[22,23,25,43,53,63,89,90,110],auto_hu_nj:28,auto_script:28,autom:[10,39,79],automat:[24,43,45,53,61,62,63,64,66,68,72,73,77,80,81,82,87,95,96,102,107,110],autopopul:[57,60,62,66,68,110],autoscript:28,av:28,avail:[10,12,18,21,22,23,29,31,41,43,44,45,48,50,52,53,56,59,66,67,72,73,74,75,77,79,82,84,85,87,89,93,97,98,99,100,102,104,105,107,108,109,110,112,114,115],availbl:95,avali:[],averag:[25,26,29,34,45,46,81,85],avgjantemp:[15,28],avoid:[10,25,46,54,110],aw:[57,63,64,107],awai:[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66,67,68,72,73,74,75,76,77,78,80,84,85,87,89,90,93,94,95,96,97,98,99,100,101,102,104,105,106,107,108,109,110,111,112,113,114],cancel:[72,73,77],candid:[8,47,80,82,85],cannot:[60,62,72,73,93,107,111],cantilev:[22,26,29],cantilever_exampl:26,cantilever_light:[],capabl:[10,41,44,51,52,81,83,88,97,115],capac:107,captur:[45,69,80,82,85,99],care:[100,108],carefulli:[35,85],carlo:[41,44,45,47,56,61,62,66,79,82,84,85,86,87,88,89,90,96,101,105,106,107,109,111,112],carri:[22,31,48],cascad:[43,83],case1:[45,63,107],case2:[45,63,107],case3:[45,107],catalina:[72,73],categor:[11,106],categori:[15,57,58,60,61,62,63,66,96,97,98,100,109],caus:[20,25,29,40,53,57,60,62,63,64,65,66,67,68,69,72,73,93,94,102,108],causal:106,caution:61,cd:[19,31,53],cdf:[57,58,62,67],cdot:[45,106],ceferino:48,cell:[19,34],cellar:77,censu:87,center:[10,12,29,45,52,53,77,99],central:[56,58,114],centroid:[],certain:[57,99,109],certificatecommand:[72,73,77],cesmd:[],cfd:[89,90,91],cfdevent:22,cg:[29,88],chain:[56,62,66,84,85,86,96,105,109,112],challeng:[41,42,43,44],chanc:[51,52],chang00:47,chang:[19,26,31,47,53,57,60,63,64,65,67,72,73,74,75,80,81,82,83,85,86,87,90,93,95,98,107,108,111,112],channel:[],chao:[79,84,89,112],chapter:[10,12,19,35,78,107],character:[47,83,96],characterist:[45,47],chart:[84,112],check:[19,20,26,31,53,63,72,73,74,75,76,77,86,93,102,104,105,107,109,110,114],checkbox:[31,104],chen:46,chi:[29,48,84,102,112],ching2007:46,ching:46,chino:48,chiou:88,chip:77,choic:[10,12,23,34,45,66,68,74,75,80,95,110],choos:[10,21,34,43,57,60,62,63,64,65,66,67,68,69,70,74,75,77,86,110],chosen:[8,10,12,15,21,22,34,66,68,97,98,102],christchurch:47,ci:[19,31,52,69,112,114],circl:102,cite:115,citi:[28,34,47,48],civil:47,clang_64:31,classic:109,classif:15,claus:[40,51,52,107],clear:[10,63,107],cli:[7,19],click:[19,31,47,53,57,58,60,62,63,64,65,66,67,68,69,70,72,73,74,75,76,77,84,86,93,102,104,105,111,112,113,114],client:31,clink:53,clone:[19,30,31,32],close:[34,48,57,66,67,100,102,106,114],closest:90,cloud:[10,12,19,37,53],clue:[],cluster:[45,48,95,100],cm:29,cmake:[30,31,32],cmd:[74,75],co:19,coalit:[10,39],coc:19,code:[19,30,31,32,39,40,41,44,53,59,72,73,75,77,95,110,115],codnod:26,coeffici:[45,60,62,84,86,102,107],coher:29,cohes:29,coincid:45,col:[60,62],coliny_pattern_search:98,collabor:109,collaps:[16,26,28,43],colleagu:[51,52,97],collect:[10,16,19,22,29,35,47,60,62,70,82,87,114],collet:59,color:[88,108,112],column:[15,29,56,57,58,60,62,67,70,83,84,104,106,107,108,112,113],com:[19,31,45,64,67,104],combin:[45,61,96,99,107],combo:[65,95],combobox:[65,95],come:[10,12,34,41,44,45,72,73,77,93],comma:[96,97,106,107,108],command:[2,10,12,18,19,20,22,24,26,28,29,30,31,32,41,44,53,57,64,68,70,72,73,74,75,77,93,110],commend:53,comment:[51,52,115],common:[10,12,45,53,72,73,93],commonli:[29,99],commun:[10,12,13,19,25,29,31,34,41,44,80,82,85,87],comp_typ:[16,26,28],compani:34,companion:[31,56],compar:[45,48,61,63,64,68,69,74,75,106,107],comparison:[47,48],compat:[23,53,77,83],compil:[29,30,31,32,73,75,110],complet:[9,10,12,14,16,19,22,24,26,45,47,61,70,76,77,83,93,104,107,108,113,114],compliant:31,compon:[10,11,13,16,21,24,26,28,29,31,39,43,45,60,62,66,67,68,70,83,84,87,102,104,112,113],composit:[60,62],comprehens:[50,87],compress:[10,12,66,68],compris:[10,25,31],compuat:98,comput:[10,12,18,19,24,26,34,39,41,43,44,45,46,47,48,51,52,53,63,67,68,69,70,71,72,73,77,82,83,85,86,87,88,93,95,96,97,98,99,100,101,104,106,107,108,109,112,114,115],computation:[45,46,52,99,100,101],computedperiod:[],conan:[30,32],concentr:[67,99,104],concept:[45,47,60,62],conceptu:[60,62,63],concern:[96,98],conclus:[25,38,72,73,77],concret:[39,79,81,83],concurr:[22,26,29,65],condit:[25,26,29,40,45,48,53,63,81,106],conduct:[19,45,47,56,59,60,61,62,63,65,66,70,113],confer:[47,63],confid:[57,69,84,112],config:[30,31,32],configur:[3,5,8,18,19,20,22,24,26,28,29,30,31,32,47,65,68,84,104,109,112],configureandrunuq:95,confirm:[53,77],conflict:25,confront:99,conjunct:12,connect:[34,47,55,64],consent:19,consequ:[10,31,43,72,73,77,83,97,99,102,106],consequenti:[25,40],conserv:[45,101],consid:[29,34,45,47,48,53,56,57,58,60,61,62,65,67,68,69,70,80,82,88,101,104,105,106,107,110,114],consider:47,consist:[15,25,47,48,53,60,62,63,67,100,104,107,108,113],consol:29,consolid:5,constant:[25,45,57,60,67,102,106,108],constitut:29,constrain:[45,60,62,67,104],constraint:[26,29,45,47,53,57,67,110],constrast:47,construct:[15,26,29,41,44,56,61,63,64,97,99,100,107,110],consum:[10,39,45,63,100],cont:[60,62],contact:[29,53,80,82,83,85,87,90],contai:25,contain:[4,7,10,11,14,15,18,19,25,30,31,32,39,48,53,55,57,60,62,63,64,66,68,69,70,72,73,74,75,76,77,93,95,96,97,106,107,108,110],content:[14,24,29,57,60,62,63,64,66,68,69,70,93,95,107,110],context:10,continent:29,continu:[22,29,31,45,60,63,64,84,107,110,112],continuousdesign:60,contour:[88,99],contract:[25,40,98],contrast:[10,48],contribut:[45,80,82,85,87,90,101,106,109],contributor:[25,40],control:[10,12,43,45,46,89,108,110,113,114],conu:47,convei:53,conveni:[18,108,111]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pspec:[22,26,29],edu:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115],educ:[41,44,73,75,110],ee:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115],ee_uq:[80,90],effect:[45,46,47,74,75,84,99,101,106,112],effici:[41,43,44,45,47,67,68,82,83,85,86,87,90,99,100,101,104,105],effort:109,eg:[63,64,86,110],eig11:[],eig12:[],eig1:[],eig21:[],eig22:[],eig2:[],eigdata:[60,62],eigen:[26,104],eigenmod:26,eigenvalu:[60,62,67,84,104,112],eigenvector:[60,62],eignevalu:104,einv:[],either:[10,12,19,25,34,47,57,64,67,70,99,100,102,105,106,107,108,110,114,115],eject:77,elabor:99,elast:[26,53,57,58,60,61,62,65,66,67,68,70,110],elasticbeamcolumn:[],elasticisotrop:29,elastictruss:53,eldr:101,element:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,80,81,82,83,84,85,86,87,88,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,111,112,113,114],element_tag:26,elhaddad:37,els:[26,53,57,67,108],em:45,email:[55,72,73,74,75],embed:45,emit:25,empir:[41,43,44,47],emploi:[45,62,66,97,98],empti:[63,93],emukit:[53,107],emul:[45,107],enabl:[10,37,43,72,73,81,82,83,87,89,104,105,107,109],encount:[10,12],encourag:[10,12,20,51,52,80,82,85,87,88,100,112,114,115],end:[10,12,24,26,45,59,60,62,63,65,72,73,76,77,93,102,107,110],endif:25,endpoint:26,energyincr:26,enforc:[26,100,102],engin:[1,10,11,12,34,36,41,44,47,48,49,52,53,56,57,58,59,60,62,63,64,65,66,67,68,69,70,72,73,74,75,80,81,82,86,87,93,98,101,104,105,106,107,108,110,112],enhanc:[25,86,112],enough:70,ensur:[19,26,28,31,57,74,75,108,110],enter:[19,55,57,58,59,60,61,62,63,64,65,66,68,69,70,72,73,74,75,77,102,109,110,114],entir:[16,47],entri:[16,88,96,97,102,108,110,111],env:[41,44,72,73,74,75,77],envdata:26,envdict:26,envelop:26,envelopedict:26,environ:[10,30,32,37,41,44,77,86,93],environment:[43,82],ep:69,epicent:34,epistem:[80,82,85],eps_p5:[],epsg:29,epsilon_:48,epsilon_j:48,eq:[22,23,26,45,88,101,106],equal:[16,45,48,60,62,70,96,97,98,100,106,108,111],equaldof:[],equat:[26,45,51,88,101,106],equival:99,era19:102,era2019:45,era:[45,102],eradist:[45,102],err:[18,19,20,22,53,63,93,110],error:[14,17,19,22,25,34,41,44,45,47,53,57,60,62,63,66,67,72,73,74,75,84,86,93,94,100,102,104,107,110,112,114],especi:[30,32,45,80,82,85,105],essenti:110,establish:100,estim:[0,9,11,15,16,26,28,41,43,44,47,48,52,56,57,58,61,63,65,69,70,83,84,86,96,97,99,100,101,106,107,108,109,110,112,115],et:[45,46,47,88,101],eta_j:48,etab:80,etc:[9,10,12,80,102,109],euclidean:[67,104],eval:[95,98,108],evalu:[29,45,46,47,53,59,64,69,70,79,82,85,87,97,98,99,100,102,106,108,112],even:[10,25,40,55,72,73,93],evenli:100,event:[0,1,2,5,8,9,10,11,12,16,18,19,22,24,25,26,28,29,36,40,41,43,44,47,48,80,81,82,83,88,90,91,93,99,114],event_tim:[22,26],eventclassif:[26,28,29],eventgrid:[15,22,29],eventid:22,eventu:83,ever:[10,25,39],everi:[11,16,19,24,26,46,59,87,93,94,96,97,108],every_r:[26,28,29],everyth:47,everytim:[72,73,77],evolut:96,evrei:31,evt:[29,36,114],ex:[45,74,75,76,77,94,110],exact:[45,61,63,77,107,110],exactli:107,examin:45,exampl:[10,15,16,17,18,19,20,22,25,26,28,29,34,39,41,44,45,47,53,54,57,58,59,60,61,62,63,64,65,66,68,69,70,76,77,83,85,86,87,91,93,95,96,97,100,102,104,105,106,107,108,109,110,111,112,115],example1:109,example2:109,example_eq:26,example_hu:28,exce:[45,47,57,68,106,109,114],exceed:[47,57,63,64,99,110],except:[25,45,53,57,99,104],excess:[29,47,99],excit:[41,44,56,63,70,106],exclud:[22,24,106],excut:107,execut:[2,9,10,11,12,15,19,20,22,24,26,28,29,31,53,72,73,74,75,76,77,80,99,107,108,109,110],exemplari:[25,40],exercis:[34,35,56,57,60,62,65,66,67,68,69,70,108],exhaust:106,exhibit:97,exist:[10,12,29,31,34,41,43,44,45,52,53,60,62,63,64,79,84,86,89,91,93,102,107,110,112,115],existingpeer_ev:22,existingsimcenterev:22,exit:[19,72,73,74,75,77,114],exp:[45,48,102,108],expand:[43,99],expans:[45,79,84,89,99,112],expect:[1,11,34,45,48,55,64,104,106,107,108,110,111],expens:[45,46,52,82,85,87,99,100,101,107,109],experi:[11,41,44,55,62,66,84,86,89,96,97,108,109,112],experienc:[56,70],experiment:[10,43,56,66,85,96,101,106,109],expert:[89,91],expertis:[41,44],explain:[22,95,106,108],explan:106,explicit:25,explicitli:[47,57,68,105,110],exploit:45,explor:[96,114],expnum:108,expon:107,exponenti:[45,48,84,102,107,112],exposur:47,expr:[34,57,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DL Applications","2.2.5. EDP Applications","2.2.7. UQ Applications","2.2.8. Building Applications","2.2.3. Event Applications","2.2.4. Modeling Applications","2.2.1. FEM Pre-processors","2.2.2. UQ Pre-processors","2.2.10. Regional Mapping Applications","2.2.6. Simulation Applications","2. Software Architecture","2.2. Backend Applications","C4 Model of Software Architecture","Level 4 Dynamic Diagrams","2.1. File Types and Schemas","2.1.1. Inputs","2.1.2. Outputs","Running Manually","Run Locally on Your Desktop","Run Remotely on DesignSafe","Troubleshooting Errors","Creating Workflows","Reading the Log File","Choosing Component Applications","Workflow Structure","5. Coding Style","Earthquake Assessment","Examples","Hurricane Assessment","Regional Site Response Assessment","Build the Backend","1. How to Build","Build the Backend","3. How to Extend","4.1. Interpoint Distances","4. Verification","9. Abbreviations","4. How To Cite","2. Acknowledgments","8. Glossary","3. Copyright and License","Requirements","<no title>","Requirements","6. Requirements","1.2. Methods in SimCenterUQ Engine","1.3. Methods in UCSD UQ Engine","Hazard Occurrence","Ground Motion Intensity Spatial Correlation Model Options","1. Technical Manual","1.1. Dakota Methods","About","1. About","2. Getting Started Tutorial","7. Bugs & Feature Requests","8. Running in Your Browser","5. Examples","5.1. Two-Dimensional Truss: Sampling, Reliability and Sensitivity","5.2. Forward Propagation - OpenSeesPy","5.3. Basic modeling with Python","5.4. Steel Frame: Conventional Calibration","5.5. Two-Dimensional Truss: Global Sensitivity Analysis using SimCenterUQ Engine","5.6. Steel Frame: Bayesian Calibration using TMCMC","5.7. Surrogate Modeling for One Story Building Earthquake Response","5.8. Surrogate Modeling to Predict Mean and Variance of Earthquake Response","5.9. Custom UQ for UQpy","5.10. Bayesian Calibration of Material Model Parameters","5.11. Two-Dimensional Truss: PLoM Modeling and Simulation","5.12. Global Sensitivity Analysis for Field QoI","5.13. Heteroscedastic Gaussian Process modeling","5.14. Forward propagation of uncertainty with multiple simulation models","Install Additional Applications","MacOS Users","MacOS Users","Windows Users","Windows Users","1.1. Install on Windows 10","1.2. Install on macOS 10","1. Installation","Capabilities","Release Plans","Release Notes","Release Plans","Release Notes","5. Capabilities","7. Release Plans","6. Release Notes","Release Plans","Release Notes","Capabilities","Release Plans","Release Notes","4. Troubleshooting","4.2. Issues While Running","4.1. Startup Issues","3.1.5.1. Configuring CustomUQ Engine","3.1.2.5. Bayesian Calibration","3.1.2.4. Deterministic Calibration","3.1.2.6. Gradient-free Parameter Estimation","3.1.2.3. Reliability Analysis","3.1.2.1. Forward Propagation","3.1.2.2. Global Sensitivity Analysis","3.3. RV: Random Variables","SimCenter UQ Engine","3.1.3.4. 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,31,59,64,65,66,68,69,70,71,72,74,75,84,89,97,104,106,109,112,113],addfactori:97,addit:[10,12,15,23,25,29,30,31,32,34,42,45,46,52,53,54,59,64,65,66,68,69,71,74,75,77,79,87,97,101,102,104,106,109,112,117],additin:[],addition:[16,25,41,46,90,103,104,107,108,109,112],address:[19,28,56,74,75,76,77],adequ:[29,101],adher:25,adit:64,adjust:104,admin:[76,77],adopt:[10,12,49,104],adress:56,advanc:[41,53,63,65,85,87,91,92,101,108,109,110],advantag:[56,85],advis:[25,40],aerodynam:91,aesthet:16,affect:[48,54,70],affili:[],after:[9,16,20,24,26,31,46,48,49,54,56,59,62,64,65,66,68,74,75,78,79,86,88,95,104,111,112,114,115,116],again:[13,31,62,79,110],against:[41,42,45,74,75],agav:19,agaveapi:19,agenc:[],aggreg:[16,18,19,22,24,26,28,48,70,86,108,113,114],agre:19,ahsan:37,ai:[10,41],aid:[10,39,93],aim:[10,12,46,101,102],al:[46,47,48,90,103],albeit:102,aleator:46,aleatori:71,alert:19,algorithm:[8,10,26,28,41,42,45,46,47,48,54,57,59,61,64,68,69,86,92,98,99,100,101,106,109,111,112,113,114],algortihm:100,align:[46,61,79,109],all:[10,11,12,15,16,18,19,20,22,23,24,25,26,28,29,30,31,32,40,41,42,45,46,48,54,56,58,59,62,64,65,66,67,68,70,72,74,75,76,77,79,80,85,86,95,98,99,101,102,104,109,110,111,112,114],all_bldg:[],allen:29,allevi:48,alloc:56,alloct:56,allow:[10,12,13,25,29,39,41,42,44,45,54,65,66,74,75,76,77,79,83,85,88,89,92,97,100,101,102,104,106,110,112,114,116],almost:[],alon:99,along:[29,46,48,62,64,65,66,69,99,100,102,104,109,110,112],alp:[66,72,107],alpha:[60,63,104],alreadi:[54,67,79,107,112],also:[10,12,15,19,22,29,30,31,32,46,48,49,52,53,54,57,59,63,64,68,70,72,74,75,76,77,79,87,90,95,97,99,100,101,102,103,104,106,108,109,110,111,112,115],altern:[15,31,41,46,59,65,74,75,76,77,101,104,106,109,113],although:[13,61],alum:49,alwai:[25,46,56,62,63,65,66,74,75,79,101,109,112],always_xi:29,ambient:[62,64],amd64:22,america:49,among:[10,22,46,102,110],amount:[10,39,46,54,56,109],amplitud:[29,72],amv2:101,amv:101,an:[1,4,10,11,12,14,15,16,18,19,20,22,23,25,26,28,29,30,31,32,34,39,41,42,44,45,46,48,49,52,53,54,55,56,57,59,61,62,63,64,67,68,69,70,71,72,74,75,76,77,78,79,88,95,97,98,99,100,101,102,104,105,106,107,108,109,110,111,112,116,117],ana:[],anaconda:79,analog:[10,12,61],analys:[29,52,111,112,115],analysi:[5,9,11,15,26,28,31,36,42,44,45,48,49,54,57,60,61,62,64,65,67,68,69,72,75,77,81,83,88,90,91,92,93,95,97,98,102,104,105,106,107,109,111,112,113,114,115],analyt:[41,42,45,46],analyz:[15,26,29,48,54,59,69,112],ananlysi:48,anaywai:[74,75,79],anchoragebuild:[],angular_freq:26,ani:[2,10,12,20,22,25,31,38,40,46,48,52,53,54,58,59,62,64,69,82,84,85,86,87,89,91,92,95,100,101,102,107,109,110,112,114],anlaysi:106,anonym:[52,53],anoth:[10,12,39,46,54,75,77,79,82,83,84,87,101,102,107,112],anotherrandomvari:[97,112],ansi:[],anymor:[74,75,112],anywher:[74,75,77],anza:49,ao:[59,60,63,67,69,112],apach:[],apart:46,api:[10,12,19,31,48],apivatanagul:48,app:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],appear:[19,20,56,67,70,74,75,79],append:[26,59,76,77],appendix:58,appl:[74,75],appli:[12,23,26,29,39,47,48,49,58,61,65,66,72,76,77,103,106,110,111],applic:[10,12,15,16,18,19,20,21,22,24,25,26,27,28,29,30,32,34,37,39,46,47,51,52,53,54,55,56,58,59,61,62,64,65,66,67,68,69,70,71,72,74,75,76,77,80,85,87,90,93,95,96,97,102,106,109,111,112,114,116,117],applicationagain:[],applicationdata:[20,26,28,29],applict:114,appreci:[52,53],approach:[10,12,25,41,46,82,84,87,101,102,107,109,111],appropri:[23,26,28,74,75,77,79,102],approv:[74,75],approx:58,approxim:[46,47,63,84,85,87,89,99,100,101,102,108,110,111],apprxim:[],appveyor:31,apriori:110,ar:[1,2,3,8,10,11,12,14,15,16,18,19,20,22,23,24,25,26,28,29,30,31,32,34,36,38,39,40,41,44,46,47,48,49,51,52,53,54,57,58,59,60,61,62,63,64,65,66,68,69,70,71,72,74,75,76,77,78,79,81,82,84,85,86,87,88,89,90,91,92,95,97,98,99,100,101,102,103,104,106,107,108,109,110,111,112,113,114,115,117],araport:19,arbitrari:[41,44,46],archaic:44,architectur:[73,85,116,117],archiv:[16,19,22,46,56,78,95],arduino:29,area:[29,41,48,55,59,60,63,65,67,69,74,75,76,77,83,88,115,116],areafootprint:29,arg:[25,59],argument:[10,12,29,31,46,104,110,113],argv:59,aris:[25,40,102],arm64:79,arm:79,around:[65,70,85,101,109],arrai:[26,62,64,110],arrang:13,arriv:109,arrow:24,art:[46,82,84,87,111],articl:102,artifactori:31,artifici:[46,52,62,64],asarrai:26,asc:48,asce7:83,asce7_windspe:22,asd:[],asimaki:29,ask:[19,54,76,77,95],asm:48,aspect:[25,65],ass:[41,42,45],assem:44,assembl:[29,44],asses:[89,92],assess:[0,10,16,21,22,24,27,41,44,46,48,82,84,85,89,95,109],asset:[3,11,12,15,16,18,19,20,22,24,26,28,29,41,44,85,89,90,95],assign:[8,15,16,22,24,25,26,28,29,41,42,45,48,60,61,65,89],assist:[],associ:[4,15,24,42,45,46,56,97,99,100,103,104,108,113],assum:[1,16,29,31,46,48,49,59,61,62,64,68,71,74,75,77,110,112],assumpt:[29,46,49,62,64,68,109],asymptot:63,atkinson:90,atl:28,atlant:28,atleast_2d:110,attach:[41,54],attempt:[],attribut:[46,103,108],au:[59,60,63,67,69,112],aug:22,augment:[10,12],aup:19,australian:48,auth:19,author:[25,26,28,29,38],auto:[22,23,25,41,44,54,58,65,91,92,112],auto_hu_nj:28,auto_script:28,autom:[10,39,81],automat:[24,41,44,46,54,63,64,65,66,68,70,74,75,79,82,83,84,89,97,98,104,112],autonom:41,autopopul:[59,62,64,68,70,112],autoscript:28,autosda:41,auxiliari:109,av:28,avail:[10,12,18,21,22,23,29,31,41,42,44,45,46,49,51,53,54,57,61,68,69,74,75,76,77,79,81,84,86,87,89,91,95,99,100,101,102,104,106,107,109,110,111,112,114,116,117],availbl:97,avali:[],averag:[25,26,29,34,46,47,83,87],avgjantemp:[15,28],avoid:[10,25,47,55,112],aw:[58,59,65,66,109],awai:[74,75,76,77],awar:[74,75,79],awhil:56,axi:[58,115],axial:[62,64],b:[26,46,58,61,62,64,68,70,71,98,103],ba:29,back:[10,12,46,49,65,67,69,71,74,75,79,95,106,116],backbon:11,backend:[2,10,12,18,19,20,22,24,25,26,27,28,48,58,59,62,64,65,66,67,68,69,70,73,74,75,77,79,85,88,95,109,111,114,116],background:116,backslash:88,bai:[29,48],baker:[48,90],band:26,bandgener:26,bandspd:54,bandwidth:26,bangalor:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],bar:[19,49,54,59,60,63,65,67,68,69,70,112],base:[10,12,23,26,28,29,30,32,38,41,42,44,45,48,49,57,62,63,64,65,66,70,71,72,79,81,82,83,84,86,88,89,91,97,98,99,100,101,102,103,106,107,108,109,111,112,114],base_node_tag:26,basestr:59,bash:[74,75,79],bash_profil:[74,75,79],bashrc:[74,75,79],basi:[49,109],basic:[15,26,41,42,45,46,48,54,57,58,59,69,71,74,75,78,79,91,101,112],basicbuild:[],basin:29,bat:[29,112],batch:[87,102,109],bay:47,bayesian:[41,42,45,47,57,86,87,88,107,110,111,114],bazzurro07:48,bazzurro:48,bdticm_m_250m_ll:29,beach:28,beacus:79,beam:[62,64,72],bear:49,becaus:[10,28,29,39,49,54,58,61,65,70,74,75,79,101,108,109,112],beck:47,bee:31,been:[19,26,29,34,39,42,45,53,56,67,74,75,78,79,80,95,97,101,111,113],befor:[2,10,12,46,55,59,74,75,79,95,104,112],begin:[24,25,46,61,62,64,98,99,104,109,113],beginn:[91,93],behav:46,behavior:[29,70,72,82,110],behind:[10,12,47],being:[10,12,16,34,53,58,61,62,64,68,72,88,97,99,100,110,112,115],belief:[72,112],believ:54,below:[10,12,22,28,29,31,46,48,49,54,56,58,59,62,63,64,65,66,68,69,70,71,72,74,75,79,97,101,103,104,107,108,109,110,111,112,116],benefit:[41,42,45,52,53],berkelei:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],besid:[74,75],best:[10,12,20,46,51,72,100,101,111],beta:[16,26,28,29,41,42,45,46,60,63,86,104,114],beta_0:47,beta_1:47,beta_j:47,beta_k:26,beta_m:47,better:[13,48,71,101],between:[10,12,13,16,23,29,34,41,44,46,48,49,54,58,62,63,64,65,68,70,72,74,75,79,85,89,99,100,102,103,104,106,108,109,110,115],betwen:110,beyond:[41,42,45,46,48,54],bfg:46,bgu:[46,104],bia:[46,84,87,89,109],bias:[46,109],bidirect:41,big:[31,49],bigg:46,bilinear:26,bim:[0,1,3,4,5,8,9,11,15,18,22,24,29,36],bin:[31,59,71,74,75,76,77,79,108],binari:[25,31,40,48,108,112],bit:[22,48,74,75,76,77,79],bivari:46,bknd:7,black:[110,112],blank:[41,42,43,44,45,112],bldgid:28,bli:44,blob:66,block:[10,12,25,31,89,110],blue:[24,81,86,90,91,110,114],blvd:28,bm:41,board:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],bocchini:48,boldsymbol:[46,108,109],book:109,bool:[15,25],boor:90,born:41,borrow:46,botdisp:26,both:[18,29,41,42,45,46,58,59,60,62,64,68,69,70,74,75,79,95,99,101,103,108,109,115],bottom:[29,41,48,69,74,75,76,77,78,79,106,108,115,116],bound:[29,46,60,61,62,63,64,65,66,67,68,70,71,88,99,100,104,109,114],boundari:[26,29,54,91],box:[10,58,63,67,76,77,79,83,90,97,107,111,112],bozorgnia:90,br4:41,braak:98,bracket:[20,92],brail:10,brandenberg:48,breadth:58,breaker:26,bridg:[19,41,44],brief:[25,48],briefli:49,brigantin:28,bring:[31,69,74,75,76,77,115],broad:[10,12],broadli:[],broken:[10,12,22,42,45],browser:[31,95,117],bsd:[40,52,53,109],budget:100,bug:[54,83,86,88,90,93,95,114,117],build:[0,1,4,5,8,10,11,12,16,18,20,22,24,26,28,29,36,39,41,42,44,45,46,48,57,58,59,62,64,66,69,72,75,77,81,83,85,87,89,90,91,92,95,112,11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nfirm:[54,79],conflict:25,confront:101,conjunct:12,connect:[34,41,48,56,58,66],consent:19,consequ:[10,31,41,44,74,75,79,85,99,101,104,108],consequenti:[25,40],conserv:[46,103],consid:[29,34,46,48,49,54,57,58,59,60,62,63,64,67,69,70,71,72,84,90,103,106,107,108,109,112,116],consider:48,consist:[15,25,48,49,54,62,64,65,69,102,106,109,110,115],consol:29,consolid:5,constant:[25,46,58,59,62,69,104,108,110],constitut:29,constrain:[46,62,64,69,106],constraint:[26,29,46,48,54,59,69,112],constrast:48,construct:[15,26,29,41,42,45,57,63,65,66,99,101,102,109,112],consum:[10,39,46,65,102],cont:[62,64],contact:[29,54,82,84,85,87,89,92],contai:25,contain:[4,7,10,11,14,15,18,19,25,30,31,32,39,49,54,56,58,59,62,64,65,66,68,70,71,72,74,75,76,77,78,79,95,97,98,99,108,109,110,112],content:[14,24,29,58,59,62,64,65,66,68,70,71,72,95,97,109,112],context:10,contin:41,continent:29,continu:[22,29,31,46,62,65,66,86,109,112,114],continuousdesign:62,contour:[90,101],contract:[25,40,100],contrast:[10,49],contribut:[46,82,84,87,89,92,103,108,111],contributor:[25,40],control:[10,12,41,44,46,47,58,91,110,112,115,116],conu:48,convei:54,conveni:[18,110,113],convent:[48,57,87,101,102,110],convention:[46,109],converg:[9,26,41,46,47,63,65,99,100,101,102],convert:[16,29,46,85,93],convolut:79,coord:[68,70],coordin:[10,15,29,39,44,60,63,109],copi:[10,12,31,54,58,59,62,64,65,66,67,68,69,70,71,72,74,75,79,109,112],copyfil:[10,12],copyright:[25,52,53,117],core:[25,41,42,45,56,67],corner:[54,74,75,78,79,106],correa:37,correct:[20,35,54,56,74,75,79,84,87,89,95,97,112],correctli:[74,75,79,80],correl:[41,42,45,46,48,52,54,57,81,86,88,90,91,107,108,109,110,112,114],correlogram:49,correspond:[0,1,2,4,5,8,10,11,22,26,28,41,44,48,58,62,64,68,72,82,89,95,97,98,99,101,102,104,106,107,108,109,110,112,113,116],corrupt:95,cost:[0,16,26,28,41,44,46,48,85,102],could:[25,34,42,45,48,55,95],count:[26,46,56],counti:41,coupl:[10,39,41,42,44,45,107],coupled_edp:[22,26,28],coupon:68,cours:[58,59,74,75,76,77],courtesi:29,cov:[58,59,69],covari:[41,42,45,46,49,86,88,102,113,114],covariancematrixlist:110,covariancemultiplierlist:110,cove:28,cover:[41,46,82,109,117],cpp:25,cr1:72,cr2:72,cr:29,cr_1:[68,70],cr_2:[68,70],cramer:[46,109],cramervonmis:[46,109],crash:55,creat:[3,4,10,11,12,18,19,22,23,29,30,31,32,34,41,42,44,45,54,55,56,59,61,62,64,68,69,70,71,72,74,75,76,77,78,79,81,83,89,91,95,97,101,103,108,112,116],create_model_1:72,createbim:22,createedp:22,createev:22,createlaunchertask:19,createrunn:97,createsam:22,creator:31,credenti:[],credibl:112,crippl:65,criteria:[26,100],criterion:100,crop:29,cross:[10,12,46,49,54,59,60,63,65,66,67,69,71,109],crude:29,crustal:29,csv:[0,18,20,22,24,29,48,62,64,68,85,90,106,108,115],csv_to_bim:[22,26,28,29],ctrl:19,cube:46,cumbersom:46,cumul:[41,54,86,101,114,115],curat:[],curr_drift:26,currenc:16,currenli:12,current:[10,12,23,26,31,46,48,49,54,63,65,74,75,76,77,81,85,86,88,91,93,97,98,99,102,104,105,106,107,110,111,112,114],curv:[46,48,68,89,106],custom:[10,15,21,23,26,28,31,41,44,46,57,65,66,85,86,114],custompi:[81,91],customuq:[67,86,111,114],cvm:29,cwe:93,cwh:65,cyberinfrastructur:53,cyclic:[68,70],cyvers:19,d:[34,41,42,43,44,45,46,47,48,58,65,74,75,98,99,101,108,109],d_:46,dabaghi:41,dai:[74,75,79],dakota:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,52,53,54,55,56,57,58,59,60,61,62,64,65,66,67,68,69,70,71,72,73,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,105,106,107,108,109,110,112,113,114,115,116,117],dakotafem:22,dakotatab:112,damag:[0,10,11,12,15,16,18,22,24,25,26,28,36,40,44,48,84,85,89,90],damp:[26,41,58,62,64,65,83],damp_ratio:26,dash:110,dat:72,data:[10,12,19,20,21,22,23,24,25,39,40,41,42,44,45,46,48,49,54,56,57,58,59,60,65,67,69,70,71,74,75,79,81,83,84,85,86,87,88,89,91,95,98,99,100,102,104,107,108,109,110,111,112,114,115,116],data_i:15,data_x:15,databas:[10,12,29,42,45,52,81,85,90,91,92],datadepot:[10,56],datafil:[],dataset:[10,12,29,41,42,45,46,62,64,65,66,69,71,81,84,86,88,89,91,93,102,104,106,108,109,112,114],date:[25,31,74,75,83,85,88,90,93,114],dcv:56,de:[46,104],deal:70,death:59,debri:[41,44],debug:[18,20,25,54],dec:[83,88,114],decai:49,decid:[41,44],decis:[0,16,26,28,65,66,115],deck:[62,64],decoupl:[83,85],decreas:[49,109],dedic:[57,61],dedm:41,dedm_hrp:[22,91,93],def:[26,59,61,71,97,110],defein:[42,45],defil:29,defin:[10,20,22,23,25,26,29,31,34,39,41,42,44,45,46,49,52,54,58,60,61,63,64,65,67,68,69,70,71,72,74,75,79,81,82,83,84,86,87,90,91,92,97,98,99,100,101,104,107,108,109,111,112,113,114,115],definit:[10,15,29,39,41,46,60,61,63,85,90,104,110],deform:[],deg:26,degrad:[],degre:[23,26,29,49,58,62,64,66,81,91],deierlein:[37,65,109],deisgnsaf:54,delet:[88,111],delimit:54,deliv:92,deliver:[42,45],delmar:28,deltadisp:26,demand:[1,11,36,41,48,54,84,85,87,89,97,108],demandparam:97,demograph:89,demonstr:[10,12,27,29,34,41,42,45,48,57,58,59,62,64,68,69,70,71,85,87,106],demonstraint:[41,42,45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,110,114],even:[10,25,40,56,74,75,95],evenli:102,event:[0,1,2,5,8,9,10,11,12,16,18,19,22,24,25,26,28,29,36,40,41,42,44,45,48,49,58,83,84,85,90,92,93,95,101,116],event_tim:[22,26],eventclassif:[26,28,29],eventgrid:[15,22,29],eventid:22,eventu:85,ever:[10,25,39],everi:[11,16,19,24,26,47,61,89,95,96,98,99,110],every_r:[26,28,29],everyth:48,everytim:[74,75,79],evolut:98,evrei:31,evt:[29,36,58,116],ex:[46,76,77,78,79,96,112],exact:[46,63,65,79,109,112],exactli:109,examin:46,exampl:[10,15,16,17,18,19,20,22,25,26,28,29,34,39,41,42,45,46,48,54,55,58,59,60,61,62,63,64,65,66,67,68,70,71,72,78,79,85,87,88,89,93,95,97,98,99,102,104,106,107,108,109,110,111,112,113,114,117],example1:111,example2:111,example_eq:26,example_hu:28,exce:[46,48,59,70,108,109,111],exceed:[48,59,65,66,101,112],except:[25,46,54,59,101,106],excess:[29,48,101],excit:[41,42,45,57,65,72,108,109],exclud:[22,24,108],excut:[],execut:[2,9,10,11,12,15,19,20,22,24,26,28,29,31,54,74,75,76,77,78,79,101,109,110,111,112],exemplari:[25,40],exercis:[34,35,57,58,59,62,64,67,68,69,70,71,72,110],exhaust:108,exhibit:99,exist:[10,12,29,31,34,41,42,44,45,46,53,54,62,64,65,66,81,86,88,91,93,95,104,109,112,114,117],existingpeer_ev:22,existingsimcenterev:22,exit:[19,74,75,76,77,79,116],exp:[46,49,104,110],expand:[44,101],expans:[46,81,86,91,101,114],expect:[1,11,34,46,49,56,66,106,108,109,110,112,113],expens:[46,47,53,84,87,89,101,102,103,109,111],experi:[11,41,42,45,56,64,68,86,88,91,98,99,109,110,111,114],experienc:[57,72],experiment:[10,44,57,68,87,98,103,108,111],expert:[41,91,93],expertis:[41,42,45],explain:[22,97,108,110],explan:108,explicit:25,explicitli:[48,58,59,70,107,112],exploit:46,explor:[98,116],expnum:110,expon:109,exponenti:[46,49,86,104,109,114],exposur:[48,58],expr:[34,58,59,69,112],express:[3,25,38,40,57,61,102,112,114],extecc_x:65,extecc_z:65,extend:[10,26,39,41,44,48,58,74,75,76,77,79,89,104,117],extens:[10,12,25,31,74,75,76,77,112],extern:[41,42,45,46,57,65,68,74,75,78,79,85,116],extra:[26,69,84,87,89,103,106,108],extract:[46,74,75,76,77,78,91,95],extractpga:22,extrapol:46,extrem:102,f5:31,f:[19,34,46,54,61,71,98,99,101,104,109],f_:[46,61,101],f_y:[68,70,107],f_yield:[26,29],face:46,facil:[53,87,92],facilit:[10,12,29,46,79,85,102],fact:46,factor:[15,26,58,100,106,110],factori:97,faculti:[42,45],fail:[20,31,41,54,56,74,75,77,79,95,100,101,104],failur:[54,95,101,111],fals:[15,22,25,26,28,29],familiar:[66,102,112],far:99,farther:[82,84,87,89],fast:[88,114],faster:[46,63,102],fatal:[41,44],fau:46,fault:[41,44,47,52,83,90],faulti:109,fbuil:37,fclose:108,fe:[41,47,57,60,62,63,64],feap:12,feappv:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,113,114,115,116,117],feasibl:87,featur:[10,25,31,42,45,52,53,54,74,75,81,82,83,84,85,86,87,89,90,91,92,93,107,109,110,114,117],feb:[],februari:100,feder:41,feedback:[41,42,43,44,45,52,53,82,84,87,89,92],feel:[48,54,83],fem:[11,12,22,34,41,42,45,46,54,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,74,75,76,77,83,88,93,99,100,103,106,108,109,110,113,114,116],fema:[41,44,58,84,85],femuq:[10,12],fepr:[],fetch:48,few:[46,57,74,75,79,84,87,89,109],fidel:[21,41,42,45,46,84,87,88,89,92,109],field:[16,41,42,45,46,54,57,58,59,60,61,62,63,64,65,66,67,68,69,71,72,83,86,90,107,108,110,112,113,114],fig:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],fig_ba94:29,fig_siterespons:29,fig_v:29,figbackendapp:24,figclass:79,figcomponentback:[10,12],figcomponentfront:[10,12],figcontain:[10,12],figcontext:[10,12],figmissingcrt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117],figur:[10,12,34,41,46,48,49,54,58,59,60,62,63,64,67,68,69,70,71,72,74,75,79,99,101,103,104,109,110,112],figworkflowdiagram:23,file:[0,1,2,3,4,5,7,8,9,10,11,12,18,20,21,23,24,26,28,29,30,31,32,34,39,41,42,45,48,54,56,57,58,59,67,69,76,77,78,79,81,83,85,86,88,91,92,93,95,97,98,99,100,104,108,109,110,111,112,114,115,116],file_sav:88,fileid:108,fileinput:97,filenam:[7,112],filenamebim:22,filenamedl:22,filenameedp:22,filenameev:22,filenameeventgrid:[22,26,28,29],filenamesam:22,filenamesim:22,filesystem:[12,78,79],fill:[46,54,56,59,65,66,67,110],filter:[41,42,45,83,87],find:[20,3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Probabilistic Learning on Manifolds (PLoM)","3.1.3.1. Forward Propagation","3.1.3.2. Global Sensitivity Analysis","3.1.3.3. Gaussian Process (GP) Surrogate Modeling","3.1.4.1. Transitional Markov chain Monte Carlo (TMCMC) algorithm","3.1. UQ: Uncertainty Quantification","3.2. FEM: Finite Element Method","3.4. QoI: Quantities of Interest","Release Notes","3.5. RES: Results","3. User Interface","Quantified Uncertainty with Optimization for the Finite Element Method 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