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

Valutazione media 4,6
( su 5 valutazioni fornite da Goodreads )
 
9780821843024: Methods of Information Geometry (Translations of Mathematical Monographs) (Tanslations of Mathematical Monographs)

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. This volume is co-published by the AMS and Oxford University Press. The AMS has exclusive distribution rights in North America. AMS members in Europe may purchase the book from the AMS. Both the AMS and OUP have worldwide distribution rights.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Review:

... 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

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Shun-Ichi Amari; Hiroshi Nagaoka
Editore: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: > 20
Da
Sequitur Books
(Boonsboro, MD, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2007. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. Clean, unmarked pages. Fine binding and cover. Ships daily. Codice libro della libreria 1411040072

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 60,84
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,42
In U.S.A.
Destinazione, tempi e costi

2.

Shun-Ichi Amari; Hiroshi Nagaoka
Editore: American Mathematical Society, United States (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 1
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2007. Paperback. Condizione libro: New. UK ed.. 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. Codice libro della libreria AAN9780821843024

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 77,70
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Shun-Ichi Amari; Hiroshi Nagaoka
Editore: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 1
Da
Irish Booksellers
(Rumford, ME, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2007. Paperback. Condizione libro: New. book. Codice libro della libreria 0821843028

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 88,21
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

4.

Shun-Ichi Amari; Hiroshi Nagaoka
Editore: American Mathematical Society, United States (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 1
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, United States, 2007. Paperback. Condizione libro: New. UK ed.. 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. Codice libro della libreria AAN9780821843024

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 90,31
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Shun-Ichi Amari, Hiroshi Nagaoka
Editore: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 1
Da
Ergodebooks
(RICHMOND, TX, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2007. Paperback. Condizione libro: New. Codice libro della libreria DADAX0821843028

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 89,87
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,42
In U.S.A.
Destinazione, tempi e costi

6.

Shun-Ichi Amari; Hiroshi Nagaoka
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Quantità: 2
Da
BWB
(Valley Stream, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97808218430240000000

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 100,95
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
In U.S.A.
Destinazione, tempi e costi

7.

AMARI NAGAOKA
Editore: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 10
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2007. Paperback. Condizione libro: NEW. 9780821843024 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0630392

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 93,97
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 8,91
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

Shun-Ichi Amari, Hiroshi Nagaoka
Editore: American Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Quantità: 1
Da
Nearfine Books
(Brooklyn, NY, U.S.A.)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society, 2007. Condizione libro: new. Shiny and new! Expect delivery in 20 days. Codice libro della libreria 9780821843024-1

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 100,51
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,42
In U.S.A.
Destinazione, tempi e costi

9.

Shun-Ichi Amari; Hiroshi Nagaoka
Editore: Amer Mathematical Society (2007)
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 2
Da
Revaluation Books
(Exeter, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Amer Mathematical Society, 2007. Paperback. Condizione libro: Brand New. 206 pages. 9.75x6.75x0.50 inches. In Stock. Codice libro della libreria __0821843028

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 102,54
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 6,68
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

10.

Shun-ichi Amari, Hiroshi Nagaoka
Editore: American Mathematical Society
ISBN 10: 0821843028 ISBN 13: 9780821843024
Nuovi Paperback Quantità: 1
Da
THE SAINT BOOKSTORE
(Southport, Regno Unito)
Valutazione libreria
[?]

Descrizione libro American Mathematical Society. Paperback. Condizione libro: 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. Codice libro della libreria B9780821843024

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 102,19
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 7,74
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro