Tropical probability theory and an application to the entropic cone

2019/05/08 by Matveev, Rostislav, Portegies, Jacobus W. · 1 citation
#FOS: Computer and information sciences #FOS: Mathematics #Information Theory (cs.IT) #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.05351

Abstract

In a series of articles, we have been developing a theory of tropical diagrams of probability spaces, expecting it to be useful for information optimization problems in information theory and artificial intelligence. In this article, we give a summary of our work so far and apply the theory to derive a dimension-reduction statement about the shape of the entropic cone.

Cited by

• Structural Properties of Entropic Vectors and Stability of the Ingleton Inequality

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