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Geometric Science of Information

5th International Conference, GSI 2021, Paris, France, July 21–23, 2021, Proceedings

  • Conference proceedings
  • © 2021


Part of the book series: Lecture Notes in Computer Science (LNCS, volume 12829)

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Conference proceedings info: GSI 2021.

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About this book

This book constitutes the proceedings of the 5th International Conference on Geometric Science of Information, GSI 2021, held in Paris, France, in July 2021.

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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Table of contents (98 papers)

  1. Geometric and Symplectic Methods for Hydrodynamical Models

  2. Harmonic Analysis on Lie Groups

  3. Statistical Manifold and Hessian Information Geometry

  4. Geometric Mechanics

Other volumes

  1. Geometric Science of Information

Editors and Affiliations

  • Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

  • THALES Land & Air Systems, Meudon, France

    Frédéric Barbaresco

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