Applied Mathematics Seminar

 

Speaker: Tom Chou, Professor of Mathematics, UCLA

 

Friday October 28, 4:10 PM - 5:00 PM;

C304 Wells Hall.

 

"Path integral-based inference of PDEs and bond energies and mobility in Dynamic Force Spectroscopy"

 

A Bayesian interpretation is given for regularization terms for parameter functions in inverse problems. Fluctuations about the extremal solution depend on the regularization terms - which encode prior knowledge - provide quantification of uncertainty. After reviewing a general path-integral framework, we discuss an application that arises in molecular biophysics: The inference of bond energies and bond coordinate mobilities from dynamic force spectroscopy experiments.