Tropical probability theory and an application to the entropic cone

05/08/2019

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by   Rostislav Matveev, et al.

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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.