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Overview
Part of the book series: Lecture Notes in Computer Science (LNCS, volume 12829)
Part of the book sub series: Image Processing, Computer Vision, Pattern Recognition, and Graphics (LNIP)
Included in the following conference series:
Conference proceedings info: GSI 2021.
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About this book
The 98 papers presented in this volume were carefully reviewed and selected from 125 submissions. They cover all the main topics and highlights in the domain of geometric science of information, including information geometry manifolds of structured data/information and their advanced applications. The papers are organized in the following topics: Probability and statistics on Riemannian Manifolds; sub-Riemannian geometry and neuromathematics; shapes spaces; geometry of quantum states; geometric and structure preserving discretizations; information geometry in physics; Lie group machine learning; geometric and symplectic methods for hydrodynamical models; harmonic analysis on Lie groups; statistical manifold and Hessian information geometry; geometric mechanics; deformed entropy, cross-entropy, and relative entropy; transformation information geometry; statistics, information and topology; geometric deep learning; topological and geometrical structures in neurosciences; computational information geometry; manifold and optimization; divergence statistics; optimal transport and learning; and geometric structures in thermodynamics and statistical physics.
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Keywords
Table of contents (98 papers)
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Probability and Statistics on Riemannian Manifolds
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Sub-Riemannian Geometry and Neuromathematics
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Shapes Spaces
Other volumes
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Geometric Science of Information
Editors and Affiliations
Bibliographic Information
Book Title: Geometric Science of Information
Book Subtitle: 5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings
Editors: Frank Nielsen, Frédéric Barbaresco
Series Title: Lecture Notes in Computer Science
DOI: https://doi.org/10.1007/978-3-030-80209-7
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer Nature Switzerland AG 2021
Softcover ISBN: 978-3-030-80208-0Published: 10 July 2021
eBook ISBN: 978-3-030-80209-7Published: 14 July 2021
Series ISSN: 0302-9743
Series E-ISSN: 1611-3349
Edition Number: 1
Number of Pages: XXIX, 929
Number of Illustrations: 77 b/w illustrations, 102 illustrations in colour
Topics: Mathematics of Computing, Artificial Intelligence, Information Systems and Communication Service, Image Processing and Computer Vision