2 papers
cs.IT2022
Information-Theoretic Equivalence of Entropic Multi-Marginal Optimal Transport: A Theory for Multi-Agent Communication
Shuchan Wang
In this paper, we propose our information-theoretic equivalence of entropic multi-marginal optimal transport (MOT). This equivalence can be easily reduced to the case of entropic o…
cs.IT2021
Generalized Talagrand Inequality for Sinkhorn Distance using Entropy Power Inequality
Shuchan Wang, Photios A. Stavrou, Mikael Skoglund
In this paper, we study the connection between entropic optimal transport and entropy power inequality (EPI). First, we prove an HWI-type inequality making use of the infinitesimal…