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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. Information Geometry in Image Analysis

  2. Divergence Geometry

    1. Front Matter
      Pages 415-415
    2. Diaa Al Mohamad, Michel Broniatowski
      Pages 417-426
    3. Imre Csiszár, Thomas Breuer
      Pages 435-443
    4. Amor Keziou, Philippe Regnault
      Pages 454-463
  3. Optimization on Manifold

    1. Front Matter
      Pages 465-465
    2. Matthieu Genicot, Wen Huang, Nickolay T. Trendafilov
      Pages 484-490
    3. Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis
      Pages 491-498
    4. Volker H. Schulz, Martin Siebenborn, Kathrin Welker
      Pages 499-508
  4. Lie Groups and Geometric Mechanics/Thermodynamics

    1. Front Matter
      Pages 509-509
    2. François Dubois, Danielle Fortuné, Juan Antonio Rojas Quintero, Claude Vallée
      Pages 541-549
    3. Krzysztof A. Krakowski, Luís Machado, Fátima Silva Leite
      Pages 550-557
    4. Eric W. Justh, P. S. Krishnaprasad
      Pages 558-565
  5. Computational Information Geometry

    1. Front Matter
      Pages 567-567
    2. Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley
      Pages 569-576
    3. Vahed Maroufy, Paul Marriott
      Pages 577-585
    4. Emmanuel K. Kalunga, Sylvain Chevallier, Quentin Barthélemy, Karim Djouani, Yskandar Hamam, Eric Monacelli
      Pages 595-604
    5. Shinto Eguchi, Osamu Komori
      Pages 615-624
  6. Lie Groups: Novel Statistical and Computational Frontiers

    1. Front Matter
      Pages 625-625
    2. Dario Prandi, Ugo Boscain, Jean-Paul Gauthier
      Pages 627-634
    3. Thomas Hotz, Florian Kelma, Johannes Wieditz
      Pages 635-642
    4. Santiago Velasco-Forero, Jesús Angulo
      Pages 654-663
    5. Silvère Bonnabel, Axel Barrau
      Pages 664-672
  7. Geometry of Time Series and Linear Dynamical systems

    1. Front Matter
      Pages 673-673
    2. Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat
      Pages 675-684
    3. Anna-Lena Kißlinger, Wolfgang Stummer
      Pages 693-701
    4. Anass Bellachehab, Jérémie Jakubowicz
      Pages 702-709
  8. Bayesian and Information Geometry for Inverse Problems

  9. Probability Density Estimation

    1. Front Matter
      Pages 751-751
    2. Emmanuel Chevallier, Frédéric Barbaresco, Jesús Angulo
      Pages 753-761
    3. Emmanuel Chevallier, Ivar Farup, Jesús Angulo
      Pages 762-769
    4. Stephane Puechmorel, Florence Nicol
      Pages 770-778

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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