Background and Motivation
- Lecture 1: Motivation and Prototypical Examples (PDF)
Probability and Statistics Background
- Lectures 2-4: Statistical models and interval estimators (PDF)
- Supplemental Material: Random variables, estimators and sampling distributions (PDF)
Parameter Selection Techniques
- Lectures 5-8: Local and Global Sensitivity Analysis (PDF)
- Complex Step Derivative Approximations (PDF)
- Lecture 9: Active subspaces (PDF)
Statistical Model Calibration
- Lectures 10-11: Frequentist techniques for model calibration (PDF)
- Lectures 12-14: Bayesian techniques for model calibration: Part 1 (PDF)
- Lectures 15-16: Bayesian techniques for model calibration: Part 2 (PDF)
Uncertainty Propagation in Models
- Lectures 17-18: Uncertainty Propagation (PDF)
Surrogate Models
- Lectures 19-21: Numerical Surrugate Models (PDF)
- Lectures 12-23: Statistical Surrugate Models (PDF)
- Lectures 24-25 Numerical Surrugate Models for PDE (PDF)
Model Discrepancy and Active Subspace-Based Inference
- Lecture 29: Model discrepancey (PDF)
- Lecture 29: Active subspace-based Bayesian inference (PDF)
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