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Geometric Science of Information

First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings

  • Frank Nielsen
  • Frédéric Barbaresco

Part of the Lecture Notes in Computer Science book series (LNCS, volume 8085)

Table of contents

  1. Front Matter
  2. Invited Keynote papers

  3. Geometric Statistics on Manifolds and Lie Groups

  4. Deformations in Shape Spaces

  5. Differential Geometry in Signal Processing

    1. Front Matter
      Pages 129-129
    2. T. Batard, M. Berthier
      Pages 131-139
    3. Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu
      Pages 140-148
  6. Relational Metric

    1. Front Matter
      Pages 167-167
    2. P. Conde Céspedes, J. F. Marcotorchino
      Pages 180-187
    3. Ademir Hujdurović, Klavdija Kutnar, Dragan Marušič
      Pages 196-203
  7. Discrete Metric Spaces

    1. Front Matter
      Pages 205-205
    2. Pavel Chebotarev
      Pages 207-214
    3. Jin Akiyama, Ikuro Sato, Hyunwoo Seong
      Pages 215-223
    4. Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud
      Pages 224-230
  8. Computational Information Geometry

    1. Front Matter
      Pages 239-239
    2. Christophe Saint-Jean, Frank Nielsen
      Pages 249-256
    3. Lakehal Belarbi, Mohamed Belkhelfa
      Pages 257-264
    4. Jan Naudts, Ben Anthonis
      Pages 265-272
  9. Hessian Information Geometry I

    1. Front Matter
      Pages 273-273
    2. Hiroshi Matsuzoe, Masayuki Henmi
      Pages 275-282
    3. Michel Nguiffo Boyom, Robert Wolak
      Pages 283-292
  10. Computational Aspects of Information Geometry in Statistics

    1. Front Matter
      Pages 309-309
    2. Karim Anaya-Izquierdo, Frank Critchley, Paul Marriott, Paul Vos
      Pages 311-318
    3. Karim Anaya-Izquierdo, Frank Critchley, Paul Marriott, Paul Vos
      Pages 319-326
    4. John T. Kent
      Pages 335-342
  11. Optimization on Matrix Manifolds

    1. Front Matter
      Pages 343-343
    2. P. -A. Absil, Robert Mahony, Jochen Trumpf
      Pages 361-368

About these proceedings

Introduction

This book constitutes the refereed proceedings of the First International Conference on Geometric Science of Information, GSI 2013, held in Paris, France, in August 2013. The nearly 100 papers presented were carefully reviewed and selected from numerous submissions and are organized into the following thematic sessions: Geometric Statistics on Manifolds and Lie Groups, Deformations in Shape Spaces, Differential Geometry in Signal Processing, Relational Metric, Discrete Metric Spaces, Computational Information Geometry, Hessian Information Geometry I and II, Computational Aspects of Information Geometry in Statistics, Optimization on Matrix Manifolds, Optimal Transport Theory, Probability on Manifolds, Divergence Geometry and Ancillarity, Entropic Geometry, Tensor-Valued Mathematical Morphology, Machine/Manifold/Topology Learning, Geometry of Audio Processing, Geometry of Inverse Problems, Algebraic/Infinite dimensionnal/Banach Information Manifolds, Information Geometry Manifolds,and Algorithms on Manifolds.

Keywords

affine differential geometry complex projective space ensemble methods mathematical morphology stochastic processes

Editors and affiliations

  • Frank Nielsen
    • 1
  • Frédéric Barbaresco
    • 2
  1. 1.Sony Computer Science Laboratories IncTokyoJapan
  2. 2.Thales Land Air SystemsLimoursFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-40020-9
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Computer Science
  • Print ISBN 978-3-642-40019-3
  • Online ISBN 978-3-642-40020-9
  • Series Print ISSN 0302-9743
  • Series Online ISSN 1611-3349
  • Buy this book on publisher's site
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