Parameter Subset Selection and Active Subspace Techniques for Engineering and Biological Models

Explore techniques for isolating influential parameters in engineering and biological models through this comprehensive webinar. Learn about global sensitivity analysis, parameter subset selection, and active subspace techniques as alternatives for identifying key inputs. Discover how Bayesian calibration on active subspaces can quantify uncertainties in physical parameters. Examine real-world applications in nuclear power plant design, quantitative systems pharmacology, and transductive materials. Gain insights from Distinguished University Professor Ralph C. Smith as he shares his expertise in mathematical modeling of smart material systems, numerical analysis, and uncertainty quantification for physical and biological systems.

Introduction
Who we are
Applications
Neutron Transport Equation
Disease Model
Brain Model
Elementary Applications
VarianceBased Analysis
Multiindex Notation
What Went Wrong
How Do We Address This
Motivation
Intuition
History
Derivative Approximations
Questions
Limitations
Verification
Reference
Adaptive Step Size
Active Subspaces
Monte Carlo Sampling
Nuclear Example
Nuclear Example Results
Bayesian Inference
Bayesian Inference Example
Activity Scores
Active Subspace
Conclusions