Wasserstein barycenters: theory, numerics and applications
Vortrag von Prof. Dr. Guillaume Carlier
Sprecher eingeladen von: Prof. Dr. Michel Chipot
Datum: 31.10.13 Zeit: 16.00 - 17.00 Raum: Y27H25
Abstract: Given several probability measures, a natural way to interpolate between them is to look for a minimizer of some weighted sum of squared Wasserstein distances to these measures. This problem finds several applications in image processing, statistics and economics. We will first address existence, uniqueness, duality and regularity issues for this problem (joint work with Martial Agueh) as well as connection to systems of Monge-Ampère equations. Then we will discuss numerical methods (joint with Adam Oberman and Edouard Oudet) and show some simulations.