2000 character limit reached
Tropical probability theory and an application to the entropic cone (1905.05351v2)
Published 8 May 2019 in cs.IT, math.IT, and math.PR
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.