Methods of Information Geometry - Rilegato

Amari, Shun-Ichi; Nagaoka, Hiroshi

Rilegato

ISBN 10: 0821805312 ISBN 13: 9780821805312

Casa editrice: Amer Mathematical Society, 2000

Riassunto

Information geometry, which began as an investigation of the natural differential geometric structure possessed by families of probability distributions, is offered here in a complete treatment, translated from the original 1993 work in Japanese. The topic is applicable to information theory, stochastic processes, and systems, including neurocomputing. The authors, who assume some knowledge of statistics, systems theory and information theory, begin with an introduction to differential geometry and the theory of dual connections, before describing statistical inference, geometry of time series and linear systems, multiterminal information theory and statistical inference, information geometry for quantum systems, concluding with a grab-bag of applications including geometry of convex analysis, linear programming and gradient flows, neuro-manifolds and nonlinear systems, lie groups and transformation models. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Su questo libro

Recensione

... a welcome and much needed addition to the literature on the use of differential geometry methods in statistics, information theory and control theory (Mathematical Reviews )

Dettagli dell?edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0821805312
• ISBN 13: 9780821805312
• Rilegatura: Copertina rigida
• Numero di pagine: 206
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile