Multi-marginal Entropy-Transport with repulsive cost
Analysis of PDEs
2019-07-19 v1 Mathematical Physics
math.MP
Optimization and Control
Abstract
In this paper we study theoretical properties of the entropy-transport functional with repulsive cost functions. We provide sufficient conditions for the existence of a minimizer in a class of metric spaces and prove the -convergence of the entropy-transport functional to a multi-marginal optimal transport problem with a repulsive cost. We also prove the entropy-regularized version of the Kantorovich duality.
Keywords
Cite
@article{arxiv.1907.07900,
title = {Multi-marginal Entropy-Transport with repulsive cost},
author = {Augusto Gerolin and Anna Kausamo and Tapio Rajala},
journal= {arXiv preprint arXiv:1907.07900},
year = {2019}
}
Comments
20 pages, 1 figure