Tuesday 5 November 2024 at 4:30 pm, as part of the Insalate di Matematica seminar cycle, Giacomo Cozzi (University of Padova) will talk about
Title: Optimal Transport and Sliced Wasserstein Gradient Flow
Abstract: In this talk we will introduce the theory of optimal transport, which in the last decades has proven to be a very useful tool in several branches of mathematics. The aim of the presentation is twofold: on one hand we will define (Wasserstein) gradient flows, and on the other we will introduce the Sliced Wasserstein distance, an useful-for-application distance defined on spaces of probabilities via optimal transport (and the better known Wasserstein distance). Finally, we will present a recent result obtained in collaboration with Filippo Santambrogio (Univ. Lyon 1) concerning the Sliced Wasserstein Flow, which is the gradient flow of the Sliced Wasserstein distance in Wasserstein spaces.
Keywords: Optimal transport, Wasserstein spaces, Gradient flow, Sliced Wasserstein distance
Information to attend
The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milan-Bicocca and will also be available online at the following Webex link (password: insalate, 46725283 from phones)