Information Geometry of Positive Measures and Positive-Definite Matrices: Decomposable Dually Flat Structure-Reference-Cited by-同舟云学术

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

Published:2014-04-14 Issue:4 Volume:16 Page:2131-2145
ISSN:1099-4300
Container-title:Entropy
language:en
Short-container-title:Entropy

Author:

Amari Shun-ichi

Publisher

MDPI AG

Subject

General Physics and Astronomy

Link

http://www.mdpi.com/1099-4300/16/4/2131/pdf

Reference26 articles.

1. Methods of Information Geometry;Amari,2000

2. Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World;Tsallis,2009

3. Generalized Thermostatistics;Naudts,2011

4. Geometry of deformed exponential families: Invariant, dually-flat and conformal geometries;Amari;Physica A,2012

5. Divergence function, duality, and convex analysis;Zhang;Neural Comput,2004

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1. An information geometrical evaluation of Shannon information metrics on a discrete n-dimensional digital manifold;Heliyon;2023-06

2. The geometry of mixed-Euclidean metrics on symmetric positive definite matrices;Differential Geometry and its Applications;2022-04

3. Information Divergence;Minimum Divergence Methods in Statistical Machine Learning;2022

4. IGAGCN: Information geometry and attention-based spatiotemporal graph convolutional networks for traffic flow prediction;Neural Networks;2021-11

5. On the geometrical representation of classical statistical mechanics;Journal of Statistical Mechanics: Theory and Experiment;2021-02-01

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