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

Published 11 Jun 2025 in math.OC and math.AP | (2506.09302v1)

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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