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Geometric Science of Information

Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Frank Nielsen

    1. Ecole Polytechnique, Palaiseau, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Frédéric Barbaresco

    1. Thales Land and Air Systems, 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 10589)

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 2017.

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About this book

This book constitutes the refereed proceedings of the Third International Conference on Geometric Science of Information, GSI 2017, held in Paris, France, in November 2017.

The 101 full papers presented were carefully reviewed and selected from 113 submissions and are organized into the following subjects:

statistics on non-linear data; shape space; optimal transport and applications: image processing; optimal transport and applications: signal processing; statistical manifold and hessian information geometry; monotone embedding in information geometry; information structure in neuroscience; geometric robotics and tracking; geometric mechanics and robotics; stochastic geometric mechanics and Lie group thermodynamics; probability on Riemannian manifolds; divergence geometry; non-parametric information geometry; optimization on manifold; computational information geometry; probability density estimation; session geometry of tensor-valued data; geodesic methods with constraints; applications of distance geometry.

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Table of contents (99 papers)

  1. Front Matter

    Pages I-XXV
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  2. Statistics on Non-linear Data

    1. Front Matter

      Pages 1-1
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    2. Stochastic Development Regression Using Method of Moments

      • Line Kühnel, Stefan Sommer
      Pages 3-11

    3. Bootstrapping Descriptors for Non-Euclidean Data

      • Benjamin Eltzner, Stephan Huckemann
      Pages 12-19

    4. Sample-Limited \(L_p\) Barycentric Subspace Analysis on Constant Curvature Spaces

      • Xavier Pennec
      Pages 20-28

    5. Parallel Transport in Shape Analysis: A Scalable Numerical Scheme

      • Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman, The Alzheimer’s Disease Neuroimaging Initiative
      Pages 29-37

    6. Maximum Likelihood Estimation of Riemannian Metrics from Euclidean Data

      • Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg
      Pages 38-46

  3. Shape Space

    1. Front Matter

      Pages 47-47
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    2. Shape Analysis on Lie Groups and Homogeneous Spaces

      • Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding
      Pages 49-56

    3. Optimal Matching Between Curves in a Manifold

      • Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
      Pages 57-64

    4. Optimization in the Space of Smooth Shapes

      • Kathrin Welker
      Pages 65-72

    5. Surface Matching Using Normal Cycles

      • Pierre Roussillon, Joan Alexis Glaunès
      Pages 73-80

  4. Optimal Transport and Applications: Image Processing

    1. Front Matter

      Pages 81-81
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    2. Regularized Barycenters in the Wasserstein Space

      • Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis
      Pages 83-90

    3. Extremal Curves in Wasserstein Space

      • Giovanni Conforti, Michele Pavon
      Pages 91-99

    4. Semi-discrete Optimal Transport in Patch Space for Enriching Gaussian Textures

      • Bruno Galerne, Arthur Leclaire, Julien Rabin
      Pages 100-108

    5. Analysis of Optimal Transport Related Misfit Functions in Seismic Imaging

      • Yunan Yang, Björn Engquist
      Pages 109-116

  5. Optimal Transport and Applications: Signal Processing

    1. Front Matter

      Pages 117-117
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    2. Information Geometry of Wasserstein Divergence

      • Ryo Karakida, Shun-ichi Amari
      Pages 119-126

    3. Anomaly Detection in Network Traffic with a Relationnal Clustering Criterion

      • Damien Nogues
      Pages 127-134
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Other volumes

  1. Geometric Science of Information

Editors and Affiliations

  • Ecole Polytechnique, Palaiseau, France

    Frank Nielsen

  • Thales Land and Air Systems, Limours, France

    Frédéric Barbaresco

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