Methods of Information Geometry (amsns AMS non-series title)

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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.

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1.Methods of Information Geometry (Translations of Mathematical Monographs) (Tanslations of Mathematical Monographs)

Editorial: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
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Sequitur Books
(Boonsboro, MD, Estados Unidos de America)
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Descripción American Mathematical Society, 2007. Paperback. Estado de conservación: New. Brand new. We distribute directly for the publisher. Clean, unmarked pages. Fine binding and cover. Ships daily. Nº de ref. de la librería 1411040072

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2.Methods Of Information Geometry

ISBN 10: 0821843028 ISBN 13: 9780821843024
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BWB
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97808218430240000000

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3.Methods of Information Geometry (Paperback)

Editorial: American Mathematical Society, United States (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
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The Book Depository US
(London, Reino Unido)
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Descripción American Mathematical Society, United States, 2007. Paperback. Estado de conservación: New. 251 x 183 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821843024

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4.Methods of Information Geometry (Paperback)

Editorial: American Mathematical Society, United States (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
The Book Depository
(London, Reino Unido)
Valoración

Descripción American Mathematical Society, United States, 2007. Paperback. Estado de conservación: New. 251 x 183 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería AAN9780821843024

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5.Methods of Information Geometry

Editorial: American Mathematical Society
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
THE SAINT BOOKSTORE
(Southport, Reino Unido)
Valoración

Descripción American Mathematical Society. Paperback. Estado de conservación: new. BRAND NEW, Methods of Information Geometry, Shun-ichi Amari, Hiroshi Nagaoka, 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. Nº de ref. de la librería B9780821843024

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6.Methods of Information Geometry (Translations of Mathematical Monographs) (Tanslations of Mathematical Monographs)

Editorial: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
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Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción American Mathematical Society, 2007. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0821843028

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7.Methods of Information Geometry (Translations of Mathematical Monographs) (Tanslations of Mathematical Monographs)

Editorial: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
Ergodebooks
(RICHMOND, TX, Estados Unidos de America)
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Descripción American Mathematical Society, 2007. Paperback. Estado de conservación: New. Nº de ref. de la librería DADAX0821843028

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8.METHODS OF INFORMATION GEOMETRY (MMONO/191.S)

Editorial: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
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Descripción American Mathematical Society, 2007. Paperback. Estado de conservación: NEW. 9780821843024 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0630392

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9.Methods of Information Geometry (Translations of Mathematical Monographs) (Tanslations of Mathematic

Editorial: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
Murray Media
(North Miami Beach, FL, Estados Unidos de America)
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Descripción American Mathematical Society, 2007. Paperback. Estado de conservación: New. Nº de ref. de la librería P110821843028

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10.Methods of Information Geometry (Tanslations of Mathematical Monographs)

Editorial: Amer Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Librería
Revaluation Books
(Exeter, Reino Unido)
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Descripción Amer Mathematical Society, 2007. Paperback. Estado de conservación: Brand New. 206 pages. 9.75x6.75x0.50 inches. In Stock. Nº de ref. de la librería __0821843028

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