Information-Geometric Equivalence of Transportation Polytopes
Information Theory
2020-08-13 v2 Combinatorics
math.IT
Abstract
This paper deals with transportation polytopes in the probability simplex (that is, sets of categorical bivariate probability distributions with prescribed marginals). Information projections between such polytopes are studied, and a sufficient condition is described under which these mappings are homeomorphisms.
Keywords
Cite
@article{arxiv.1402.3175,
title = {Information-Geometric Equivalence of Transportation Polytopes},
author = {Mladen Kovačević and Ivan Stanojević and Vojin Šenk},
journal= {arXiv preprint arXiv:1402.3175},
year = {2020}
}
Comments
6 pages, 1 figure. v2: A remark concerning Frechet-Hoeffding bounds is added