Information geometry and its applications / Shun-ichi Amari
Type de document : MonographieCollection : Applied mathematical sciences, 194Langue : anglais.Pays: Swisse.Mention d'édition: corrected publication 2020Éditeur : Cham : Springer, 2016Description : 1 vol. (XIII-374 p.) ; 24 cmISBN: 9784431559771.Bibliographie : Bibliogr. p. 359-369. Index.Sujet MSC : 94-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to information and communication theory62-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics
94A15, Communication, information, Information theory (general)
94A17, Communication, information, Measures of information, entropy
62F12, Statistics - Parametric inference, Asymptotic properties of parametric estimatorsEn-ligne : Springer | zbMath | MSN
| Item type | Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|---|
Monographie
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CMI Salle 2 | 94 AMA (Browse shelf(Opens below)) | Available | 03422-01 |
The book is an introduction to information geometry and its applications. We learn from the preface of this book that the term “information geometry” refers to a way of exploring the world of information by means of geometry. This field emerged from the study of the invariant geometrical structures inherent in statistical inference. Technically speaking, one has a Riemannian metric together with dually coupled affine connections in a manifold of probability distributions.
The fields of applications of information geometry include, besides statistical inference, mathematics, physics, neurosciences and several areas of information sciences, like machine learning processing and optimization ... (zbMath)
Bibliogr. p. 359-369. Index
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