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Geometric Science of Information

Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings

  • Frank Nielsen
  • Frédéric Barbaresco

Part of the Lecture Notes in Computer Science book series (LNCS, volume 9389)

Also part of the Image Processing, Computer Vision, Pattern Recognition, and Graphics book sub series (LNIP, volume 9389)

Table of contents

  1. Front Matter
    Pages I-XXII
  2. Dimension Reduction on Riemannian Manifolds

  3. Optimal Transport

    1. Front Matter
      Pages 49-49
    2. Alfred Galichon, Scott Duke Kominers, Simon Weber
      Pages 51-59
    3. Benoit Huyot, Yves Mabiala, J. F. Marcotorchino
      Pages 69-76
    4. Yongxin Chen, Tryphon Georgiou, Michele Pavon
      Pages 77-84
  4. Optimal Transport and Applications in Imagery/Statistics

  5. Shape Space and Diffeomorphic Mappings

    1. Front Matter
      Pages 119-119
    2. Nina Miolane, Xavier Pennec
      Pages 130-139
    3. Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
      Pages 140-149
    4. Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê
      Pages 150-158
  6. Random Geometry/Homology

    1. Front Matter
      Pages 169-169
    2. Nicolas Chenavier
      Pages 171-178
    3. L. Decreusefond, A. Vasseur
      Pages 187-194
    4. Pierre Calka
      Pages 195-202
    5. Roman V. Belavkin
      Pages 203-210
  7. Hessian Information Geometry

    1. Front Matter
      Pages 211-211
    2. K. V. Harsha, K. S. Subrahamanian Moosath
      Pages 213-221
    3. Rui F. Vigelis, David C. de Souza, Charles C. Cavalcante
      Pages 222-229
    4. Barbara Opozda
      Pages 230-239
    5. J. Armstrong, S. Amari
      Pages 240-247
    6. Hideyuki Ishi
      Pages 248-256
    7. Michel Nguiffo Boyom, Mohammed Jamali, Mohammad Hasan Shahid
      Pages 257-268
  8. Topological Forms and Information

    1. Front Matter
      Pages 269-269
    2. Matilde Marcolli
      Pages 271-276
    3. Philippe Elbaz-Vincent, Herbert Gangl
      Pages 277-285
    4. José Ignacio Burgos Gil, Patrice Philippon, Martín Sombra
      Pages 286-295
  9. Information Geometry Optimization

    1. Front Matter
      Pages 309-309
    2. Shun-ichi Amari, Nihat Ay
      Pages 320-325
    3. Christophe Saint-Jean, Frank Nielsen
      Pages 340-348
    4. Luigi Malagò, Giovanni Pistone
      Pages 349-358
    5. Garvesh Raskutti, Sayan Mukherjee
      Pages 359-368
  10. Information Geometry in Image Analysis

    1. Front Matter
      Pages 369-369
    2. Salem Said, Lionel Bombrun, Yannick Berthoumieu
      Pages 371-378

About these proceedings

Introduction

This book constitutes the refereed proceedings of the Second International Conference on Geometric Science of Information, GSI 2015, held in Palaiseau, France, in October 2015.

The 80 full papers presented were carefully reviewed and selected from 110 submissions and are organized into the following thematic sessions:

Dimension reduction on Riemannian manifolds; optimal transport; optimal transport and applications in imagery/statistics; shape space and diffeomorphic mappings; random geometry/homology; Hessian information geometry; topological forms and Information; information geometry optimization; information geometry in image analysis; divergence geometry; optimization on manifold; Lie groups and geometric mechanics/thermodynamics; computational information geometry; Lie groups: novel statistical and computational frontiers; geometry of time series and linear dynamical systems; and Bayesian and information geometry for inverse problems.

Keywords

Bayesian statistics Optimal transport Optimization on manifolds Stochastic geometry Topological information Brain-computer interfaces Color images Computational information geometry Differential geometry Dimensionality reduction Laplace-beltrami operator Lie groups Mathematical morphology Nonlinear regression Projective space Riemannian manifolds Robotics Shape space Stochastic processes Structural biology

Editors and affiliations

  • Frank Nielsen
    • 1
  • Frédéric Barbaresco
    • 2
  1. 1.Bâtiment Alan Turing, CS35003École PolytechniquePalaiseauFrance
  2. 2.Thales Land\& Air SystemsLimoursFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-25040-3
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-25039-7
  • Online ISBN 978-3-319-25040-3
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site
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