This was part of Applied Optimal Transport

Quantitative geometric stability for semi-discrete optimal transport

Jun Kitagawa, Michigan State University

Monday, May 16, 2022

Abstract: I will discuss two stability results on the geometric structures (Laguerre cells) arising in optimal transport problems with discrete target measure. Our results consist of two types of stability: one evaluates differences in a measure sense, while the second in Hausdorff distance; these results come with quantitative bounds under perturbation of the masses of the target measure. This talk consists of joint work with Mohit Bansil (UCLA).