247 citations · 967 across the 25 of their papers we have counts for
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math.OC2017★ 2 cited
Information Geometry Connecting Wasserstein Distance and Kullback-Leibler Divergence via the Entropy-Relaxed Transportation Problem
Shun-ichi Amari, Ryo Karakida, Masafumi Oizumi
Two geometrical structures have been extensively studied for a manifold of probability distributions. One is based on the Fisher information metric, which is invariant under revers…
cs.IT2017★ 9 cited
Geometry of Information Integration
Shun-ichi Amari, Naotsugu Tsuchiya, Masafumi Oizumi
Information geometry is used to quantify the amount of information integration within multiple terminals of a causal dynamical system. Integrated information quantifies how much in…