Overview
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Applied Mathematical Sciences (AMS, volume 194)
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Table of contents (14 chapters)
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Geometry of Divergence Functions: Dually Flat Riemannian Structure
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Introduction to Dual Differential Geometry
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Information Geometry of Statistical Inference
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Applications of Information Geometry
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Bibliographic Information
Book Title: Information Geometry and Its Applications
Authors: Shun-ichi Amari
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-4-431-55978-8
Publisher: Springer Tokyo
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Japan 2016
Hardcover ISBN: 978-4-431-55977-1Published: 10 February 2016
Softcover ISBN: 978-4-431-56743-1Published: 31 March 2018
eBook ISBN: 978-4-431-55978-8Published: 02 February 2016
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: XIII, 374
Number of Illustrations: 98 b/w illustrations
Topics: Differential Geometry, Mathematical Applications in Computer Science, Statistical Theory and Methods