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Geometric Science of Information

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

  • Conference proceedings
  • © 2019

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, Limours, 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 11712)

Part of the book sub series: Image Processing, Computer Vision, Pattern Recognition, and Graphics (LNIP)

Included in the following conference series:

Conference proceedings info: GSI 2019.

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Table of contents (79 papers)

  1. Front Matter

    Pages i-xix
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  2. Shape Space

    1. Front Matter

      Pages 1-1
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    2. On Geometric Properties of the Textile Set and Strict Textile Set

      • Tomonari Sei, Ushio Tanaka
      Pages 3-12

    3. Inexact Elastic Shape Matching in the Square Root Normal Field Framework

      • Martin Bauer, Nicolas Charon, Philipp Harms
      Pages 13-20

    4. Signatures in Shape Analysis: An Efficient Approach to Motion Identification

      • Elena Celledoni, Pål Erik Lystad, Nikolas Tapia
      Pages 21-30

    5. Dilation Operator Approach and Square Root Velocity Transform for Time/Doppler Spectra Characterization on SU(n)

      • Guillaume Bouleux, Frederic Barbaresco
      Pages 31-38

    6. Selective Metamorphosis for Growth Modelling with Applications to Landmarks

      • Andreas Bock, Alexis Arnaudon, Colin Cotter
      Pages 39-48

  3. Geometric Mechanics

    1. Front Matter

      Pages 49-49
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    2. Intrinsic Incremental Mechanics

      • Jean Lerbet, Noël Challamel, François Nicot, Félix Darve
      Pages 51-54

    3. Multi-symplectic Lie Group Thermodynamics for Covariant Field Theories

      • Goffredo Chirco, Marco Laudato, Fabio M. Mele
      Pages 55-65

    4. Euler-Poincaré Equation for Lie Groups with Non Null Symplectic Cohomology. Application to the Mechanics

      • Géry de Saxcé
      Pages 66-74

    5. Geometric Numerical Methods with Lie Groups

      • Joël Bensoam, Pierre Carré
      Pages 75-84

    6. Souriau Exponential Map Algorithm for Machine Learning on Matrix Lie Groups

      • Frédéric Barbaresco
      Pages 85-95

  4. Geometry of Tensor-Valued Data

    1. Front Matter

      Pages 97-97
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    2. \(\mathbb {R}\)-Complex Finsler Information Geometry Applied to Manifolds of Systems

      • Christophe Corbier
      Pages 99-106

    3. Minkowski Sum of Ellipsoids and Means of Covariance Matrices

      • Jesús Angulo
      Pages 107-115

    4. Hyperquaternions: An Efficient Mathematical Formalism for Geometry

      • Patrick R. Girard, Patrick Clarysse, Romaric Pujol, Robert Goutte, Philippe Delachartre
      Pages 116-125

    5. \(\alpha \)-power Sums on Symmetric Cones

      • Keiko Uohashi
      Pages 126-134

    6. Packing Bounds for Outer Products with Applications to Compressive Sensing

      • Sebastian Semper, Thomas Hotz
      Pages 135-143

  5. Lie Group Machine Learning

    1. Front Matter

      Pages 145-145
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  1. Geometric Science of Information

Keywords

About this book

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.

Editors and Affiliations

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

    Frank Nielsen

  • Thales, Limours, France

    Frédéric Barbaresco

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