Information-geometric equivalence of transportation polytopes
نویسندگان
چکیده
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. 1. Preliminaries Let Γn denote the set of probability distributions with alphabet {1, . . . , n}: (1.1) Γn = { (pi) ∈ R n : pi ≥ 0, ∑
منابع مشابه
Geometric Combinatorics of Transportation Polytopes and the Behavior of the Simplex Method
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عنوان ژورنال:
- Probl. Inf. Transm.
دوره 51 شماره
صفحات -
تاریخ انتشار 2015