A simple contraction criterion for the Sinkhorn mirror flow

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Anand Srinivasan, Jean-Jacques Slotine

20 Sept 2025 (modified: 12 Nov 2025)ICLR 2026 Conference Withdrawn SubmissionEveryoneRevisionsBibTeXCC BY 4.0
Keywords: Schrodinger Bridge, Entropy-Regularized Optimal Transport, MirrorDescent
TL;DR: A simple contraction criterion for the Sinkhorn mirror flow
Abstract: We give a concise condition for contraction of the continuous-time mirror dynamics which was recently shown to be the vanishing-step-size limit of the Sinkhorn algorithm. This condition is essentially coercivity of a conditional expectation operator.
Primary Area: generative models
Submission Number: 25481