Stochastic Tools Examples and Tutorials

The following example problems demonstrate the capabilities of the MOOSE Stochastic Tools Module.

Parameter Studies, Statistics, and Sensitivity Analysis:

• Monte Carlo Example

• Parameter Study

• Parameter Study on a Highly Nonlinear Problem

• SOBOL Sensitivity Analysis

Surrogate Models:

• Creating a Surrogate Model

• Training a Surrogate Model

• Evaluating a Surrogate Model

• Polynomial Chaos Surrogate

• Polynomial Regression Surrogate

• POD Reduced Basis Surrogate

• Comparison of surrogates using a time-dependent problem

• Gaussian Process Surrogate

• K-Fold Cross Validation

Bayesian UQ:

• Bayesian Uncertainty Quantification (UQ) on a 1D Diffusion Problem

Python Interface

• Annulus Shape Optimization — SciPy + StochasticControl