paper

Error estimate for regularized optimal transport problems via Bregman divergence

arXiv:2309.11666

Abstract

Regularization by the Shannon entropy enables us to efficiently and approximately solve optimal transport problems on a finite set. This paper is concerned with regularized optimal transport problems via Bregman divergence. We introduce the required properties for Bregman divergences, provide a non-asymptotic error estimate for the regularized problem, and show that the error estimate becomes faster than exponentially.

21 pages, 3 figures

Error estimate for regularized optimal transport problems via Bregman divergence · wovepaper