24 Novembre, 2021 15:15
Sezione di Analisi
A relaxation approach to optimal transport with applications to the unbalanced case
Giacomo E. Sodini, TUM
Aula Seminari III Piano
Abstract
In this talk, after briefly presenting the classical optimal transport problem, we will discuss a new interpretation of the optimal transport cost as the largest lower semicontinuous convex functional extending the cost between pairs of delta measures.
With this in mind, we will introduce a notion of optimal transport cost for (nonnegative) measures with possibly different masses and discuss its metric and topological properties.
This talk is based on a joint work with Giuseppe Savaré (Bocconi University).