Methods of Information Geometry
Language: English
Published by American Mathematical Society, US, 2007
- Softcover
- New
Seller: Rarewaves.com USA, London, London, United KingdomRarewaves.com USA
AbeBooks seller since June 11, 2025
Condition: New
£ 157.13
Quantity: 1 available
Add to basketItem description from seller
Information geometry provides the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine connections called the $\alpha$-connections. The duality between the $\alpha$-connection and the $(-\alpha)$-connection together with the metric play an essential role in this geometry. This kind of duality, having emerged from manifolds of probability distributions, is ubiquitous, appearing in a variety of problems which might have no explicit relation to probability theory. Through the duality, it is possible to analyze various fundamental problems in a unified perspective. The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections.The second half of the text provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. The book can serve as a suitable text for a topics course for advanced undergraduates and graduate students.…
Seller Inventory # LU-9780821843024
- Title
- Methods of Information Geometry
- Author
- Shun-ichi Amari
- Publisher
- American Mathematical Society, US
- Publication year
- 2007
- Condition
- New
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0821843028
- ISBN 13
- 9780821843024
- Item weight
- 391 grams
"Synopsis" may belong to another edition of this title.
About the Author
Hiroshi Nagaoka, University of Electro-Communications, Tokyo, Japan
"About the title" may belong to another edition of this title.
Rarewaves.com USA
London, London, United Kingdom
AbeBooks seller since June 11, 2025
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