Information-Geometric Equivalence of Transportation Polytopes
arXiv:1402.3175 · doi:10.1134/S0032946015020027
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.
6 pages, 1 figure. v2: A remark concerning Frechet-Hoeffding bounds is added