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Geometric Science of Information

6th International Conference, GSI 2023, St. Malo, France, August 30 – September 1, 2023, Proceedings, Part I

  • Conference proceedings
  • © 2023

Overview

Editors:
  1. Frank Nielsen

    1. Sony Computer Science Laboratories Inc., Tokyo, Japan

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    You can also search for this editor in PubMed   Google Scholar

  2. Frédéric Barbaresco

    1. THALES Land and Air Systems, Meudon, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Computer Science (LNCS, volume 14071)

Included in the following conference series:

Conference proceedings info: GSI 2023.

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Table of contents (62 papers)

  1. Front Matter

    Pages i-xlv
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  2. Geometric Green Learning

    1. Front Matter

      Pages 1-1
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    2. Three Methods to Put a Riemannian Metric on Shape Space

      • Alice Barbora Tumpach, Stephen C. Preston
      Pages 3-11

    3. Riemannian Locally Linear Embedding with Application to Kendall Shape Spaces

      • Elodie Maignant, Alain Trouvé, Xavier Pennec
      Pages 12-20

    4. A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes

      • Lidiya Pryymak, Tim Suchan, Kathrin Welker
      Pages 21-30

    5. On Canonical Parameterizations of 2D-Shapes

      • Alice Barbora Tumpach
      Pages 31-40

    6. Shape Spaces of Nonlinear Flags

      • Ioana Ciuclea, Alice Barbora Tumpach, Cornelia Vizman
      Pages 41-50

  3. Neurogeometry Meets Geometric Deep Learning

    1. Front Matter

      Pages 51-51
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    2. A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units

      • Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti, Steven Zucker
      Pages 53-62

    3. Functional Properties of PDE-Based Group Equivariant Convolutional Neural Networks

      • Gautam Pai, Gijs Bellaard, Bart M. N. Smets, Remco Duits
      Pages 63-72

    4. Continuous Kendall Shape Variational Autoencoders

      • Sharvaree Vadgama, Jakub M. Tomczak, Erik Bekkers
      Pages 73-81

    5. Can Generalised Divergences Help for Invariant Neural Networks?

      • Santiago Velasco-Forero
      Pages 82-90

    6. Group Equivariant Sparse Coding

      • Christian Shewmake, Nina Miolane, Bruno Olshausen
      Pages 91-101

  4. Divergences in Statistics and Machine Learning

    1. Front Matter

      Pages 103-103
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    2. On a Cornerstone of Bare-Simulation Distance/Divergence Optimization

      • Michel Broniatowski, Wolfgang Stummer
      Pages 105-116

    3. Extensive Entropy Functionals and Non-ergodic Random Walks

      • Valérie Girardin, Philippe Regnault
      Pages 117-124

    4. Empirical Likelihood with Censored Data

      • Mohamed Boukeloua, Amor Keziou
      Pages 125-135

    5. Aggregated Tests Based on Supremal Divergence Estimators for Non-regular Statistical Models

      • Jean-Patrick Baudry, Michel Broniatowski, Cyril Thommeret
      Pages 136-144

  5. Computational Information Geometry and Divergences

    1. Front Matter

      Pages 145-145
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    2. Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon \(\nabla \)-Divergences

      • Frank Nielsen
      Pages 147-156
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Other volumes

  1. Geometric Science of Information

  2. Geometric Science of Information

Keywords

About this book

This book constitutes the proceedings of the 6th International Conference on Geometric Science of Information, GSI 2023, held in St. Malo, France, during August 30-September 1, 2023.

The 125 full papers presented in this volume were carefully reviewed and selected from 161 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: geometry and machine learning; divergences and computational information geometry; statistics, topology and shape spaces; geometry and mechanics; geometry, learning dynamics and thermodynamics; quantum information geometry; geometry and biological structures; geometry and applications.



Editors and Affiliations

  • Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

  • THALES Land and Air Systems, Meudon, France

    Frédéric Barbaresco

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