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Applied Mathematical Sciences

Information Geometry and Its Applications

Authors: Amari, Shun-ichi

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  • Introduces information geometry intuitively to readers without knowledge of differential geometry
  • Includes hot topics of applications to machine learning, signal processing, neural networks, and optimization
  • Applies information geometry to statistical inference and time-series analysis
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eBook 83,29 €
price for Spain (gross)
  • ISBN 978-4-431-55978-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-4-431-55977-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-4-431-56743-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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.

Reviews

“This book gives a reasonably accessible introduction to the subject and then considers various applications. … The book provides a nice introduction to the subject. … the book provides a nice introduction to a difficult subject that has many important applications.” (Marvin H. J. Gruber, Technometrics, Vol. 58 (4), April, 2016) 


Table of contents (13 chapters)

Table of contents (13 chapters)

Buy this book

eBook 83,29 €
price for Spain (gross)
  • ISBN 978-4-431-55978-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-4-431-55977-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 103,99 €
price for Spain (gross)
  • ISBN 978-4-431-56743-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Information Geometry and Its Applications
Authors
Series Title
Applied Mathematical Sciences
Series Volume
194
Copyright
2016
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-55978-8
DOI
10.1007/978-4-431-55978-8
Hardcover ISBN
978-4-431-55977-1
Softcover ISBN
978-4-431-56743-1
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XIII, 373
Number of Illustrations
94 illustrations in colour
Topics