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arXiv · 2506.09302

$C^{1,\alpha}$-regularity for Schr\"odinger potentials of Shannon-entropy regularized Optimal Transport

Sumiya Baasandorj·Simone Di Marino·Augusto Gerolin
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Abstract

We provide the stability of $C^{1,\alpha}$ 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.

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Sumiya Baasandorj, Simone Di Marino, Augusto Gerolin. 2025-06-11. $C^{1,\alpha}$-regularity for Schr\"odinger potentials of Shannon-entropy regularized Optimal Transport. https://arxiv.org/abs/2506.09302

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