C^1,α-regularity for Schrödinger potentials of Shannon-entropy regularized Optimal Transport

2025/06/11 by Sumiya Baasandorj, Simone Di Marino, Baasandorj, Sumiya +3
Mathematics · #Nonlinear Partial Differential Equations #Geometric Analysis and Curvature Flows #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2506.09302

Abstract

We provide the stability of C^1,α regularity of Schrödinger 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.

Citations

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Related

• Shannon-and von neumann-entropy regularizations of linear and semidefinite programs
• Entropic Optimal Transport: Convergence of Potentials
• A proof of the Caffarelli contraction theorem via entropic regularization
• Sharp Asymptotics for Regularized Optimal Transport
• Global Regularity Estimates for Optimal Transport via Entropic Regularisation