Geodesic
Tropical probability theory and an application to the entropic cone
Kybernetika, Tome 56 (2020) no. 6, pp. 1133-1153.

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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.
DOI : 10.14736/kyb-2020-6-1133
Classification : 94A17, 94A24
Keywords: tropical probability; entropic cone; non-Shannon inequality 
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Matveev, Rostislav; Portegies, Jacobus W. Tropical probability theory and an application to the entropic cone. Kybernetika, Tome 56 (2020) no. 6, pp. 1133-1153. doi : 10.14736/kyb-2020-6-1133. http://geodesic.mathdoc.fr/articles/10.14736/kyb-2020-6-1133/

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