Information geometry and its applications
- 種類:
- 電子ブック
- 責任表示:
- Shun-ichi Amari
- 出版情報:
- [Japan] : Springer, 2016
- 著者名:
- Amari, Shun'ichi,
- シリーズ名:
- Applied mathematical sciences, ; volume 194
- ISBN:
- 9784431559788 [4431559787]
- 注記:
- 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, optimizati
Includes bibliographical references and index
Online resource; title from PDF title page (SpringerLink, viewed February 16, 2016) - ローカル注記:
- 学内専用E-BOOKS (local access only)
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