Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence-Reference-Cited by-同舟云学术

Differential geometry of a parametric family of invertible linear systems—Riemannian metric, dual affine connections, and divergence

Published:1987-12 Issue:1 Volume:20 Page:53-82
ISSN:0025-5661
Container-title:Mathematical Systems Theory
language:en
Short-container-title:Math. Systems Theory

Author:

Amari Shun-ichi

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,General Mathematics,Theoretical Computer Science,Computational Theory and Mathematics,Theoretical Computer Science

Link

http://link.springer.com/content/pdf/10.1007/BF01692059.pdf

Reference31 articles.

1. S. Amari, Differential geometry of curved exponential families—curvatures and information loss,Ann. Statist.,10 (1982), 357–387.

2. S. Amari, A foundation of information geometry,Electron. Comm. Japan,66 (1983), 1–10.

3. S. Amari, Differential geometry of systems, Report No. 528, Institute of Mathematical Analysis, Kyoto University, 1984, pp. 235–253.

4. S. Amari,Differential Geometrical Methods in Statistics, Lecture Notes in Statistics, vol. 28, Springer-Verlag, New York, 1985.

5. S. Amari, Differential geometry of statistics—towards new developments, inDifferential Geometry in Statistical Inference, IMS Monograph, Institute of Mathematical Statistics, Hayward, CA, 1987.

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