CMX Lunch Seminar

Wednesday February 26, 2020 12:00 PM

An Optimal Transport Perspective on Uncertainty Propagation

Speaker: Amir Sagiv, Applied Mathematics, Columbia University
Location: Annenberg 213

 In many scientific areas, a deterministic model (e.g., a differential equation) is equipped with parameters. In practice, these parameters might be uncertain or noisy, and so an honest model should account for these uncertainties and provide a statistical description of the quantity of interest. Underlying this computational problem is a fundamental question - If two "similar" functions push-forward the same measure, are the new resulting measures close, and if so, in what sense? In this talk, I will first show how the probability density function (PDF) can be approximated, and present applications to nonlinear optics. We will then discuss the limitations of PDF approximation, and present an alternative Wasserstein-distance formulation of this problem, which through optimal-transport theory yields a simpler theory.

Series CMX Lunch Series

Contact: Jolene Brink at 6263952813 jbrink@caltech.edu
For more information visit: http://cmx.caltech.edu/