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math.DG2017
Doubly autoparallel structure on the probability simplex
Atsumi Ohara, Hideyuki Ishi
On the probability simplex, we can consider the standard information geometric structure with the e- and m-affine connections mutually dual with respect to the Fisher metric. The g…
math.ST2017
Wishart exponential families on cones related to An graphs
Piotr Graczyk, Hideyuki Ishi, Salha Mamane
Let G = An be the graph corresponding to the graphical model of nearest neighbour interaction in a Gaussian character. We study Natural Exponential Families( NEF) ofWishart distrib…