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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- About this book
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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)
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Information Geometry and Its Applications: Survey
Pages 3-3
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Information-Geometric Optimization: The Interest of Information Theory for Discrete and Continuous Optimization
Pages 4-4
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Nonparametric Information Geometry
Pages 5-36
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Geometry of Hessian Structures
Pages 37-55
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Bi-invariant Means on Lie Groups with Cartan-Schouten Connections
Pages 59-67
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Table of contents (98 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Geometric Science of Information
- Book Subtitle
- First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings
- Editors
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- 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
- 157 b/w illustrations
- Topics
