Title: A simple contraction criterion for the Sinkhorn mirror flow
Primary area: generative models
Keywords: Schrodinger Bridge, Entropy-Regularized Optimal Transport, MirrorDescent

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.

TL;DR: A simple contraction criterion for the Sinkhorn mirror flow