| 000 -LEADER | |
|---|---|
| fixed length control field | a |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 220223b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9784431567431 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510.1154 |
| Item number | AMA |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Amari, Shun-ichi |
| 245 ## - TITLE STATEMENT | |
| Title | Information geometry and its applications |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Name of publisher, distributor, etc | Springer, |
| Date of publication, distribution, etc | 2016 |
| Place of publication, distribution, etc | Japan : |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | xiii, 374 p. ; |
| Other physical details | ill., |
| Dimensions | 24 cm |
| 365 ## - TRADE PRICE | |
| Price amount | 84.99 |
| Price type code | EUR |
| Unit of pricing | 88.10 |
| 490 ## - SERIES STATEMENT | |
| Series statement | Applied mathematical sciences, 0066-5452 ; |
| Volume number/sequential designation | vol. 194 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc | Includes bibliographical references and index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This is the first comprehensive book on information geometry, written by the founder of the field. It begins with an elementary introduction to dualistic geometry and proceeds to a wide range of applications, covering information science, engineering, and neuroscience. It consists of four parts, which on the whole can be read independently. A manifold with a divergence function is first introduced, leading directly to dualistic structure, the heart of information geometry. This part (Part I) can be apprehended without any knowledge of differential geometry. An intuitive explanation of modern differential geometry then follows in Part II, although the book is for the most part understandable without modern differential geometry. Information geometry of statistical inference, including time series analysis and semiparametric estimation (the Neyman-Scott problem), is demonstrated concisely in Part III. Applications addressed in Part IV include hot current topics in machine learning, signal processing, optimization, and neural networks. The book is interdisciplinary, connecting mathematics, information sciences, physics, and neurosciences, inviting readers to a new world of information and geometry. This book is highly recommended to graduate students and researchers who seek new mathematical methods and tools useful in their own fields. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Geometry, Differential |
| Topical term or geographic name as entry element | Mathematical statistics |
| Topical term or geographic name as entry element | Information theory |
| Topical term or geographic name as entry element | Information theory in mathematics |
| Topical term or geographic name as entry element | Statistics |
| Topical term or geographic name as entry element | Computer science, Mathematics |
| Topical term or geographic name as entry element | Amari-Chentsov structure |
| Topical term or geographic name as entry element | AR model |
| Topical term or geographic name as entry element | Dual affine structure |
| Topical term or geographic name as entry element | Estimator |
| Topical term or geographic name as entry element | Euler-Schouten curvature |
| Topical term or geographic name as entry element | First-order asymptotic theory |
| Topical term or geographic name as entry element | Large deviation theorem |
| Topical term or geographic name as entry element | MA model |
| Topical term or geographic name as entry element | Maximum entropy principle |
| Topical term or geographic name as entry element | Neyman-Scott problem |
| Topical term or geographic name as entry element | Principal component analysis |
| Topical term or geographic name as entry element | Projection theorem |
| Topical term or geographic name as entry element | Global differential geometry |
| Topical term or geographic name as entry element | Riemann-Christoffel curvature tensor |
| Topical term or geographic name as entry element | Saddle-free Newton method |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Source of classification or shelving scheme | |
| Item type | Books |
No items available.