$C^{1,\alpha}$-regularity for Schr\"odinger potentials of Shannon-entropy regularized Optimal Transport
Optimization and Control
2025-06-12 v1 Analysis of PDEs
Abstract
We provide the stability of regularity of Schr\"odinger potentials of Boltzmann-Shannon entropy regularized Optimal Transport under the classical assumption of marginals supported on bounded convex sets and whose densities are bounded above and below.
Keywords
Cite
@article{arxiv.2506.09302,
title = {$C^{1,\alpha}$-regularity for Schr\"odinger potentials of Shannon-entropy regularized Optimal Transport},
author = {Sumiya Baasandorj and Simone Di Marino and Augusto Gerolin},
journal= {arXiv preprint arXiv:2506.09302},
year = {2025}
}