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Parameter Subset Selection and Active Subspace Techniques for Engineering and Biological Models
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- 1 Introduction
- 2 Who we are
- 3 Applications
- 4 Neutron Transport Equation
- 5 Disease Model
- 6 Brain Model
- 7 Elementary Applications
- 8 VarianceBased Analysis
- 9 Multiindex Notation
- 10 What Went Wrong
- 11 How Do We Address This
- 12 Motivation
- 13 Intuition
- 14 History
- 15 Derivative Approximations
- 16 Questions
- 17 Limitations
- 18 Verification
- 19 Reference
- 20 Adaptive Step Size
- 21 Active Subspaces
- 22 Monte Carlo Sampling
- 23 Nuclear Example
- 24 Nuclear Example Results
- 25 Bayesian Inference
- 26 Bayesian Inference Example
- 27 Activity Scores
- 28 Active Subspace
- 29 Conclusions