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CMX Lunch Seminar

Wednesday, February 26, 2020
12:00pm to 1:00pm
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Annenberg 213
An Optimal Transport Perspective on Uncertainty Propagation
Amir Sagiv, Instructor, Applied Mathematics, Columbia University,

 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.

For more information, please contact Jolene Brink by phone at 6263952813 or by email at jbrink@caltech.edu or visit CMX Website.