Image Processing, Computer Vision, Pattern Recognition, and Graphics

Geometric Science of Information

First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings

Editors: Nielsen, Frank, Barbaresco, Frédéric (Eds.)

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  • ISBN 978-3-642-40020-9
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About this book

This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensional/Banach Information Manifolds, Information Geometry Manifolds, and Algorithms on Manifolds.

Table of contents (98 chapters)

  • Information Geometry and Its Applications: Survey

    Amari, Shun-ichi

    Pages 3-3

  • Information-Geometric Optimization: The Interest of Information Theory for Discrete and Continuous Optimization

    Ollivier, Yann

    Pages 4-4

  • Nonparametric Information Geometry

    Pistone, Giovanni

    Pages 5-36

  • Geometry of Hessian Structures

    Shima, Hirohiko

    Pages 37-55

  • Bi-invariant Means on Lie Groups with Cartan-Schouten Connections

    Pennec, Xavier

    Pages 59-67

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-642-40020-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $143.00
price for USA
  • ISBN 978-3-642-40019-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometric Science of Information
Book Subtitle
First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings
Editors
  • Frank Nielsen
  • Frédéric Barbaresco
Series Title
Image Processing, Computer Vision, Pattern Recognition, and Graphics
Series Volume
8085
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-40020-9
DOI
10.1007/978-3-642-40020-9
Softcover ISBN
978-3-642-40019-3
Edition Number
1
Number of Pages
XX, 879
Number of Illustrations and Tables
157 b/w illustrations
Topics