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When Optimal Transport Meets Information Geometry by Gabriel Khan & Jun Zhang is a book available to read on EtoBox.

What is When Optimal Transport Meets Information Geometry about?

Information Geometry,AbstractInformation geometry and optimal transport are two distinct geometric frameworksfor modeling families of probability measures. During the recent years, there has beena surge of research endeavors that cut across these two areas and explore their links andinteractions. This paper is intended to provide an (incomplete) survey of these works,including entropy-regularized transport, divergence functions arising from c-duality,density manifolds and transport information geometry, the para-Kähler and Kählergeometries underlying optimal transport and the regularity theory for its solutions.Some outstanding questions that would be of interest to audience of both these twodisciplines are posed. Our piece also serves as an introduction to the Special Issue onOptimal Transport of the journal Information Geometry.Keywords Entropy-regulated transport · c-duality and divergence function · Kählerand para-Kähler geometries

Author

Gabriel Khan & Jun Zhang

Publisher

x

Published

2022

Language

EN