When

Start: 02/06/2017 - 4:15pm

End : 02/06/2017 - 5:15pm

End : 02/06/2017 - 5:15pm

Category

Applied Math Seminar

Speaker

Wuchen Li (UCLA)

Abstract

We propose a new algorithm to approximate the Earth Mover's distance (EMD). The main idea is motivated by the theory of optimal transport, in which EMD can be reformulated as a familiar L1 type minimization. We use a regularization which gives us a unique solution for this L1 type problem. The new regularized minimization is very similar to problems which have been solved in the fields of compressed sensing and image processing, where several fast methods are available. In this talk, we adopt a primal-dual algorithm designed there, which uses very simple updates at each iteration and is shown to converge very rapidly. Several numerical examples are provided. This presentation is based on a joint work with Wilfrid Gangbo, Stanley Osher and Penghang Yin.

Where

Emmy Noether Rm
Millikan 1021
Pomona College