Introduction to Uncertainty Quantification
Course overview Offering: 2015 Summer School Section: Default
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Unit 1: (Strachan) Uncertainty Quantification Across Scales and Physics: Towards Predictive Materials
Lectures
- L1.1: Introduction to UQ in Materials and Model Calibration
- L1.2: Uncertainty Propagation in Multiscale, Multiphysics Simulations
- L1.3: nanoHUB Workspace, Uncertainty Propagation with PUQ, and Functional Uncertainty Quantification
Unit 2: (Smith) Roles of Uncertainty Quantification in Materials Science
Lectures
- L2.1 Predictive Science and Examples
- L2.2 Steps in Uncertainty Quantification
Unit 3: (Smith) Parameter Selection, Model Calibration, and Uncertainty Propagation for Physical Models
Lectures
- Abstract
- L3.1: Model Calibation, Markov Chains, Proposal Distribution
- L3.2: Delayed Rejection Adaptive Metropolis (DRAM)
Unit 4: (Bilionis) Introduction to Gaussian Process Regression
Lectures
- L4.1: Introduction to Gaussian Processes
- L4.3: The Covariance Matrix
- L4.5: Sampling a Gaussian Process
- L4.7: Regression
- L4.9: Model Selection
- L4.11: Solve a Global Optimization Problem
- L4.14: Cool stuff you did not learn about today…
Unit 5: (Knio) Application of UQ Principles to Calibration, Sensitivity, and Experimental Design (In Production)
Lectures
- L5.1: Introduction & UQ Challenges in Materials Modeling
- L5.2: Line Fitting Example
- L5.3: Model UQ
- L5.4: Spectrial Approach to UQ
- L5.5: Local and Global Sensitivity Analysis
- L5.6: Uncertain & Stochastic Models
- L5.7: Stochastic Simulations
- L5.8: Example from nanostructured multilayer
- L5.9: Formulation Model (Zr-Al)
- L5.10: Uncertainty for Water
- L5.11: Final Example and Conclusion
Unit 6: (Garrity) Psuedopotentials: Design, Testing, Typical Errors
Lectures
- L6.1: Density Functional Theory, Solving Kohn-Sham
- L6.3: Testing Basis Sets
- L6.5: A More Difficult Example - Ti 3D State & PSP Lab with B-Al-Ga-In
- New asset group
Unit 7: (Benidict/Riha) The Role of Uncertainty Quantification in Model Verification and Validation
Lectures
- L7.1: ICME Models and Methods and Verification and Validation
- L7.2: ICME Models and Methods and Verification and Validation
- L7.3: Uncertainty Quantification Methods
- L7.4: NESSUS Overview
- L7.6: NESSUS Exercise Review and Model Calibration
- L7.8: UES Yield Strength Model/V & V Summary