Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure

Information geometry studies the dually flat structure of a manifold, highlighted by the generalized Pythagorean theorem. The present paper studies a class of Bregman divergences called the (ρ,τ)-divergence. A (ρ,τ) -divergence generates a dually flat structure in the manifold of positive measures,...

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Bibliographic Details
Main Author: Shun-ichi Amari
Format: Article
Language:English
Published: MDPI AG 2014-04-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/16/4/2131