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Manifold, Divergence and Dually Flat Structure

  • Shun-ichi Amari
Chapter
Part of the Applied Mathematical Sciences book series (AMS, volume 194)

Abstract

The present chapter begins with a manifold and a coordinate system within it. Then, a divergence between two points is defined. We use an intuitive style of explanation for manifolds, followed by typical examples.

Keywords

Convex Function Parallel Transport Legendre Transformation Information Geometry Pythagorean Theorem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Japan 2016

Authors and Affiliations

  1. 1.Brain Science InstituteRIKENWakoJapan

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