Geometric Science of Information

4th International Conference, GSI 2019, Toulouse, France, August 27–29, 2019, Proceedings

  • Frank Nielsen
  • Frédéric Barbaresco
Conference proceedings GSI 2019

Part of the Lecture Notes in Computer Science book series (LNCS, volume 11712)

Also part of the Image Processing, Computer Vision, Pattern Recognition, and Graphics book sub series (LNIP, volume 11712)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Shape Space

    1. Front Matter
      Pages 1-1
    2. Martin Bauer, Nicolas Charon, Philipp Harms
      Pages 13-20
    3. Elena Celledoni, Pål Erik Lystad, Nikolas Tapia
      Pages 21-30
    4. Andreas Bock, Alexis Arnaudon, Colin Cotter
      Pages 39-48
  3. Geometric Mechanics

    1. Front Matter
      Pages 49-49
    2. Jean Lerbet, Noël Challamel, François Nicot, Félix Darve
      Pages 51-54
    3. Goffredo Chirco, Marco Laudato, Fabio M. Mele
      Pages 55-65
    4. Joël Bensoam, Pierre Carré
      Pages 75-84
  4. Geometry of Tensor-Valued Data

    1. Front Matter
      Pages 97-97
    2. Patrick R. Girard, Patrick Clarysse, Romaric Pujol, Robert Goutte, Philippe Delachartre
      Pages 116-125
    3. Keiko Uohashi
      Pages 126-134
  5. Lie Group Machine Learning

    1. Front Matter
      Pages 145-145
    2. Alexis Arnaudon, Alessandro Barp, So Takao
      Pages 171-179
    3. Elena Celledoni, Halvor S. Gustad, Nikita Kopylov, Henrik S. Sundklakk
      Pages 180-187
    4. Claudio Carmeli, Rita Fioresi, V. S. Varadarajan
      Pages 188-195
  6. Geometric Structures in Thermodynamics and Statistical Physics

    1. Front Matter
      Pages 197-197
    2. Hiroaki Yoshimura, François Gay-Balmaz
      Pages 199-208
    3. Arjan van der Schaft, Bernhard Maschke
      Pages 228-238
  7. Monotone Embedding and Affine Immersion of Probability Models

    1. Front Matter
      Pages 249-249
    2. Yann Cabanes, Frédéric Barbaresco, Marc Arnaudon, Jérémie Bigot
      Pages 261-270
    3. Francisca Leidmar Josue Vieira, Rui Facundo Vigelis, Luiza Helena Felix de Andrade, Charles Casimiro Cavalcante
      Pages 271-278
    4. Hiroshi Matsuzoe, Antonio M. Scarfone, Tatsuaki Wada
      Pages 279-287
    5. Jun Zhang, Gabriel Khan
      Pages 288-296
  8. Divergence Geometry

    1. Front Matter
      Pages 297-297
    2. Frank Nielsen, Richard Nock
      Pages 299-308
    3. Michel Broniatowski, Emilie Miranda, Wolfgang Stummer
      Pages 309-318
  9. Computational Information Geometry

  10. Statistical Manifold and Hessian Information Geometry

    1. Front Matter
      Pages 387-387
    2. Aliya Naaz Siddiqui, Kamran Ahmad, Cenap Özel
      Pages 389-397

About these proceedings


This book constitutes the proceedings of the 4th International Conference on Geometric Science of Information, GSI 2019, held in Toulouse, France, in August 2019.

The 79 full papers presented in this volume were carefully reviewed and selected from 105 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.


adaptive control systems artificial intelligence clustering clustering algorithms computational geometry image coding image processing image reconstruction machine learning motion estimation neural networks numerical methods optical flows probability probability distribution random variables robotics signal processing variational methods vector quantization

Editors and affiliations

  • Frank Nielsen
    • 1
  • Frédéric Barbaresco
    • 2
  1. 1.Sony Computer Science Laboratories, Inc.TokyoJapan
  2. 2.ThalesLimoursFrance

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-030-26979-1
  • Online ISBN 978-3-030-26980-7
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site