Global Regularity Estimates for Optimal Transport via Entropic Regularisation
Functional Analysis
2025-12-04 v5 Optimization and Control
Probability
Abstract
We develop a general approach to prove global regularity estimates for quadratic optimal transport using the entropic regularisation of the problem and the Prekopa-Leindler inequality.
Cite
@article{arxiv.2501.11382,
title = {Global Regularity Estimates for Optimal Transport via Entropic Regularisation},
author = {Nathael Gozlan and Maxime Sylvestre},
journal= {arXiv preprint arXiv:2501.11382},
year = {2025}
}