Sharp comparison between the 1-Wasserstein distance and its sliced version
Mathphys Analysis Seminar
Date:
Tuesday, November 5, 2024 15:30 - 16:30
Speaker:
Guillaume Carlier (Paris Dauphine University)
Location:
Office Bldg West / Ground floor / Heinzel Seminar Room (I21.EG.101)
Series:
Mathematics and CS Seminar
Host:
Jan Maas
Contact:
Oosthuizen-Noczil Birgit
Wasserstein distances are known to be costly to compute in high dimensions, this is why their sliced variants that only involve their one-dimensional projections have been proposed as a tractable surrogate, indeed quite popular in applications. But how reliable is really this surrogate? In this talk, based on a joint work with Alessio Figalli, Quentin Mrigot and Yi Wang, I will discuss some sharp comparison results.