LIX Colloquium 2015 conferences

As for GSI’13, the objective of this SEE Conference GSI’15, hosted by Ecole Polytechnique, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.
It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, natural language treatment, etc., which are also substantially relevant for industry.
The Conference will be therefore held in areas of priority/focused themes and topics of mutual interest with the aim to:
  • Provide an overview on the most recent state-of-the-art
  • Exchange mathematical information/knowledge/expertise in the area
  • Identify research areas/applications for future collaboration
  • Identify academic & industry labs expertise for further collaboration
This conference will be an interdisciplinary event and will unify skills from Geometry, Probability and Information Theory. The conference proceedings are published in Springer's Lecture Note in Computer Science (LNCS) series. 

Authors will be solicited to submit a paper in a special Issue "Differential Geometrical Theory of Statistics” in ENTROPY Journal, an international and interdisciplinary open access journal of entropy and information studies published monthly online by MDPI

Provisional Topics of Special Sessions:

  • Manifold/Topology Learning
  • Riemannian Geometry in Manifold Learning
  • Optimal Transport theory and applications in Imagery/Statistics
  • Shape Space & Diffeomorphic mappings
  • Geometry of distributed optimization
  • Random Geometry/Homology
  • Hessian Information Geometry
  • Topology and Information
  • Information Geometry Optimization
  • Divergence Geometry
  • Optimization on Manifold
  • Lie Groups and Geometric Mechanics/Thermodynamics
  • Quantum Information Geometry
  • Infinite Dimensional Shape spaces
  • Geometry on Graphs
  • Bayesian and Information geometry for inverse problems
  • Geometry of Time Series and Linear Dynamical Systems
  • Geometric structure of Audio Processing  
  • Lie groups in Structural Biology
  • Computational Information Geometry
Affiche

About

LIX Colloquium 2015 conferences

As for GSI’13, the objective of this SEE Conference GSI’15, hosted by Ecole Polytechnique, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.
It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, natural language treatment, etc., which are also substantially relevant for industry.
The Conference will be therefore held in areas of priority/focused themes and topics of mutual interest with the aim to:
  • Provide an overview on the most recent state-of-the-art
  • Exchange mathematical information/knowledge/expertise in the area
  • Identify research areas/applications for future collaboration
  • Identify academic & industry labs expertise for further collaboration
This conference will be an interdisciplinary event and will unify skills from Geometry, Probability and Information Theory. The conference proceedings are published in Springer's Lecture Note in Computer Science (LNCS) series. 

Authors will be solicited to submit a paper in a special Issue "Differential Geometrical Theory of Statistics” in ENTROPY Journal, an international and interdisciplinary open access journal of entropy and information studies published monthly online by MDPI

Provisional Topics of Special Sessions:

  • Manifold/Topology Learning
  • Riemannian Geometry in Manifold Learning
  • Optimal Transport theory and applications in Imagery/Statistics
  • Shape Space & Diffeomorphic mappings
  • Geometry of distributed optimization
  • Random Geometry/Homology
  • Hessian Information Geometry
  • Topology and Information
  • Information Geometry Optimization
  • Divergence Geometry
  • Optimization on Manifold
  • Lie Groups and Geometric Mechanics/Thermodynamics
  • Quantum Information Geometry
  • Infinite Dimensional Shape spaces
  • Geometry on Graphs
  • Bayesian and Information geometry for inverse problems
  • Geometry of Time Series and Linear Dynamical Systems
  • Geometric structure of Audio Processing  
  • Lie groups in Structural Biology
  • Computational Information Geometry

Committees

Secrétaire

Webmestre

Program chairs

Scientific committee

Sponsors and Organizers

Documents

XLS

Random Geometry/Homology (chaired by Laurent Decreusefond/Frédéric Chazal)

The extremal index for a random tessellation Nicolas Chenavier
A two-color interacting random balls model for co-localization analysis of proteins Frederic Lavancier, Charles Kervrann
Asymptotics of superposition of point processes Laurent Decreusefond, Aurélien Vasseur

Computational Information Geometry (chaired by Frank Nielsen, Paul Marriott)

Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley
Computing Boundaries in Local Mixture Models Vahed Maroufy, Paul Marriott
Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry Frank Nielsen, Gaëtan Hadjeres
From Euclidean to Riemannian Means Information Geometry for SSVEP Classification Emmanuel Kalunga, Sylvain Chevallier, Quentin Barthélemy, Karim Djouani, Yskandar Hamam, Eric Monacelli
Group Theoretical Study on Geodesics for the Elliptical Models Hiroto Inoue
Path connectedness on a space of probability density functions Shinto Eguchi, Osamu Komori
Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott

Bayesian and Information Geometry for Inverse Problems (chaired by Ali Mohammad-Djafari, Olivier Swander)

Stochastic PDE projection on manifolds Assumed-Density and Galerkin Filters Damiano Brigo, John Armstrong
Variational Bayesian Approximation method for Classification and Clustering with a mixture of Studen Ali Mohammad-Djafari
Differential geometric properties of textile plot Tomonari Sei, Ushio Tanaka
A generalization of independence and multivariate Student's t-distributions Monta Sakamoto, Hiroshi Matsuzoe

Hessian Information Geometry (chaired by Shun-Ichi Amari, Michel Boyom)

New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Cavalcante
The Pontryagin Forms of Hessian Manifolds John Armstrong, Shun-Ichi Amari
Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Boyom, Jamali Mohammed, Hasan Shahid

Topological forms and Information (chaired by Daniel Bennequin, Pierre Baudot)

Finite polylogarithms, their multiple analogues and the Shannon entropy Philippe Elbaz-Vincent, Herbert Gangl
Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra
Characterization and Estimation of the Variations of a Random Convex Set by it's Mean $n$-Variogram : Application to the Boolean Model Saïd Rahmani, Jean-Charles Pinoli, Johan Debayle

Information Geometry Optimization (chaired by Giovanni Pistone, Yann Ollivier)

Laplace's rule of succession in information geometry Yann Ollivier
Standard Divergence in Manifold of Dual Affine Connections Shun-Ichi Amari, Nihat Ay
Transformations and Coupling Relations for Affine Connections James Tao, Jun Zhang
Online k-MLE for mixture modeling with exponential families Christophe Saint-Jean, Frank Nielsen
Second-order Optimization over the Multivariate Gaussian Distribution Luigi Malagò, Giovanni Pistone
The information geometry of mirror descent Garvesh Raskutti, Sayan Mukherjee

Geometry of Time Series and Linear Dynamical systems (chaired by Bijan Afsari, Arshia Cont)

TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat
A common symmetrization framework for random linear algorithms Alain Sarlette
New model search for nonlinear recursive models, regressions and autoregressions Wolfgang Stummer, Anna-Lena Kißlinger
Random Pairwise Gossip on CAT(k) Metric Spaces Anass Bellachehab, Jérémie Jakubowicz

Optimal Transport (chaired by Jean-François Marcotorchino, Alfred Galichon)

The nonlinear Bernstein-Schrodinger equation in Economics Alfred Galichon, Scott Kominers, Simon Weber
Some geometric consequences of the Schrödinger problem Christian Leonard
Optimal Transport, Independance versus Indetermination duality, impact on a new Copula Design Benoit Huyot, Yves Mabiala, Jean-François Marcotorchino
Optimal mass transport over bridges Yonxin Chen, Tryphon Georgiou, Michele Pavon

Information Geometry in Image Analysis (chaired by Yannick Berthoumieu, Geert Verdoolaege)

Texture classification using Rao's distance on the space of covariance matrices Salem Said, Lionel Bombrun, Yannick Berthoumieu
Color Texture Discrimination using the Principal Geodesic Distance on a Multivariate Generalized Gau Geert Verdoolaege, Aqsa Shabbir
Bag-of-components an online algorithm for batch learning of mixture models Olivier Schwander, Frank Nielsen
Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation Jesús Angulo
Quantization of hyperspectral image manifold using probabilistic distances Gianni Franchi, Jesús Angulo

Optimal Transport and applications in Imagery/Statistics (chaired by Bertrand Maury, Jérémie Bigot)

Non-convex relaxation of optimal transport for color transfer between images Julien Rabin, Nicolas Papadakis
Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy Reiner Lenz
Barycenter in Wasserstein space existence and consistency Thibaut Le Gouic, Jean-Michel Loubes

Probability Density Estimation (chaired by Jesús Angulo, Salem Said)

Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco
Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup
Entropy minimizing curves with application to automated flight path design Stephane Puechmorel, Florence Nicol

Dimension reduction on Riemannian manifolds (chaired by Xavier Pennec, Alain Trouvé)

Evolution Equations with Anisotropic Distributions and Diffusion PCA Stefan Sommer
Barycentric Subspaces and Affine Spans in Manifolds Xavier Pennec
Dimension Reduction on Polyspheres with Application to Skeletal Representations Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann
Affine-invariant Riemannian Distance Between Infinite-dimensional Covariance Operators Minh Ha Quang
A sub-Riemannian modular approach for diffeomorphic deformations Barbara Gris, Stanley Durrleman, Alain Trouvé

Optimization on Manifold (chaired by Pierre-Antoine Absil, Rodolphe Sepulchre)

Riemannian trust regions with finite-difference Hessian approximations are globally convergent Nicolas Boumal
Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization Martin Kleinsteuber, Hao Shen
Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov
Fitting Smooth Paths on Riemannian Manifolds - Endometrial Surface Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis
PDE Constrained Shape Optimization as Optimization on Shape Manifolds Kathrin Welker, Volker Schulz, Martin Siebenborn

Shape Space & Diffeomorphic mappings (chaired by Stanley Durrleman, Stéphanie Allassonnière)

Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions Julien Lefèvre, Guillaume Auzias
Biased estimators on quotient spaces Xavier Pennec, Nina Miolane
Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor
Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le
The abstract setting for shape deformation analysis and LDDMM methods Sylvain Arguillere

Lie Groups: Novel Statistical and Computational Frontiers (chaired by Jérémie Jakubowicz, Bijan Afsari)

Image processing in the semidiscrete group of rototranslations Dario Prandi, Ugo Boscain, Jean-Paul Gauthier
Universal, non-asymptotic confidence sets for circular means Thomas Hotz, Florian Kelma, Johannes Wieditz
Deblurring and Recovering Conformational States in 3D Single Particle Electron Bijan Afsari, Gregory S. Chirikjian
Nonlinear operators on graphs via stacks Santiago Velasco-Forero, Jesús Angulo

Lie Groups and Geometric Mechanics/Thermodynamics (chaired by Frédéric Barbaresco, Géry de Saxcé)

Poincaré's equations for Cosserat shells - application to locomotion of cephalopods Frederic Boyer, Federico Renda
Entropy and structure of the thermodynamical systems Géry de Saxcé
Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics Frédéric Barbaresco
Pontryagin calculus in Riemannian geometry Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero
Rolling Symmetric Spaces Krzysztof Krakowski, Luís Machado, Fátima Leite
Enlargement, geodesics, and collectives Eric Justh, P. S. Krishnaprasad

Divergence Geometry (chaired by Michel Broniatowski, Imre Csiszár)

Generalized EM algorithms for minimum divergence estimation Michel Broniatowski, Diaa Al Mohamad
Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski
An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski
Multivariate divergences with application in multisample density ratio models Amor Keziou
Détails de l'article
contenu protégé  Document accessible sous conditions - vous devez vous connecter ou vous enregistrer pour accéder à ou acquérir ce document.
- Accès libre pour les ayants-droit

Multivariate divergences with application in multisample density ratio models
Generalized Mutual-Information based independence tests Philippe Regnault, Amor Keziou
Détails de l'article
contenu protégé  Document accessible sous conditions - vous devez vous connecter ou vous enregistrer pour accéder à ou acquérir ce document.
- Accès libre pour les ayants-droit

Generalized Mutual-Information based independence tests

Invited speaker Charles-Michel Marle (chaired by Frédéric Barbaresco)

Actions of Lie groups and Lie algebras on symplectic and Poisson manifolds. Application to Lagrangian and Hamiltonian systems Charles-Michel Marle
Jean-Louis Koszul et les structures élémentaires de la Géométrie de l’Information Frédéric Barbaresco

Authors

Frédéric Barbaresco

Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics Frédéric Barbaresco
Jean-Louis Koszul et les structures élémentaires de la Géométrie de l’Information Frédéric Barbaresco

Frederic Lavancier, Charles Kervrann

A two-color interacting random balls model for co-localization analysis of proteins Frederic Lavancier, Charles Kervrann

Roman Belavkin

Pierre Calka

Laurent Decreusefond, Aurélien Vasseur

Asymptotics of superposition of point processes Laurent Decreusefond, Aurélien Vasseur

Nicolas Chenavier

The extremal index for a random tessellation Nicolas Chenavier

Frank Nielsen, Gaëtan Hadjeres

Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry Frank Nielsen, Gaëtan Hadjeres

Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott

Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott

Vahed Maroufy, Paul Marriott

Computing Boundaries in Local Mixture Models Vahed Maroufy, Paul Marriott

Emmanuel Kalunga, Sylvain Chevallier, Quentin Barthélemy, Karim Djouani, Yskandar Hamam, Eric Monacelli

From Euclidean to Riemannian Means Information Geometry for SSVEP Classification Emmanuel Kalunga, Sylvain Chevallier, Quentin Barthélemy, Karim Djouani, Yskandar Hamam, Eric Monacelli

Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Hiroto Inoue

Group Theoretical Study on Geodesics for the Elliptical Models Hiroto Inoue

Shinto Eguchi, Osamu Komori

Path connectedness on a space of probability density functions Shinto Eguchi, Osamu Komori

Monta Sakamoto, Hiroshi Matsuzoe

A generalization of independence and multivariate Student's t-distributions Monta Sakamoto, Hiroshi Matsuzoe

Tomonari Sei, Ushio Tanaka

Differential geometric properties of textile plot Tomonari Sei, Ushio Tanaka

Damiano Brigo, John Armstrong

Stochastic PDE projection on manifolds Assumed-Density and Galerkin Filters Damiano Brigo, John Armstrong

Ali Mohammad-Djafari

Variational Bayesian Approximation method for Classification and Clustering with a mixture of Studen Ali Mohammad-Djafari

Barbara Opozda

Hideyuki Ishi

Michel Boyom, Jamali Mohammed, Hasan Shahid

Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Boyom, Jamali Mohammed, Hasan Shahid

Rui F. Vigelis, David de Souza, Charles Cavalcante

New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Cavalcante

John Armstrong, Shun-Ichi Amari

The Pontryagin Forms of Hessian Manifolds John Armstrong, Shun-Ichi Amari

Saïd Rahmani, Jean-Charles Pinoli, Johan Debayle

Characterization and Estimation of the Variations of a Random Convex Set by it's Mean $n$-Variogram : Application to the Boolean Model Saïd Rahmani, Jean-Charles Pinoli, Johan Debayle

Philippe Elbaz-Vincent, Herbert Gangl

Finite polylogarithms, their multiple analogues and the Shannon entropy Philippe Elbaz-Vincent, Herbert Gangl

José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra

Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra

Matilde Marcolli

From Geometry and Physics to Computational Linguistics Matilde Marcolli

Yann Ollivier

Laplace's rule of succession in information geometry Yann Ollivier

Christophe Saint-Jean, Frank Nielsen

Online k-MLE for mixture modeling with exponential families Christophe Saint-Jean, Frank Nielsen

Luigi Malagò, Giovanni Pistone

Second-order Optimization over the Multivariate Gaussian Distribution Luigi Malagò, Giovanni Pistone

Shun-Ichi Amari, Nihat Ay

Standard Divergence in Manifold of Dual Affine Connections Shun-Ichi Amari, Nihat Ay

Garvesh Raskutti, Sayan Mukherjee

The information geometry of mirror descent Garvesh Raskutti, Sayan Mukherjee

James Tao, Jun Zhang

Transformations and Coupling Relations for Affine Connections James Tao, Jun Zhang

Alain Sarlette

A common symmetrization framework for random linear algorithms Alain Sarlette

Wolfgang Stummer, Anna-Lena Kißlinger

New model search for nonlinear recursive models, regressions and autoregressions Wolfgang Stummer, Anna-Lena Kißlinger

Anass Bellachehab, Jérémie Jakubowicz

Random Pairwise Gossip on CAT(k) Metric Spaces Anass Bellachehab, Jérémie Jakubowicz

Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

Yonxin Chen, Tryphon Georgiou, Michele Pavon

Optimal mass transport over bridges Yonxin Chen, Tryphon Georgiou, Michele Pavon

Benoit Huyot, Yves Mabiala, Jean-François Marcotorchino

Optimal Transport, Independance versus Indetermination duality, impact on a new Copula Design Benoit Huyot, Yves Mabiala, Jean-François Marcotorchino

Christian Leonard

Some geometric consequences of the Schrödinger problem Christian Leonard

Alfred Galichon, Scott Kominers, Simon Weber

The nonlinear Bernstein-Schrodinger equation in Economics Alfred Galichon, Scott Kominers, Simon Weber

Olivier Schwander, Frank Nielsen

Bag-of-components an online algorithm for batch learning of mixture models Olivier Schwander, Frank Nielsen

Geert Verdoolaege, Aqsa Shabbir

Color Texture Discrimination using the Principal Geodesic Distance on a Multivariate Generalized Gau Geert Verdoolaege, Aqsa Shabbir

Gianni Franchi, Jesús Angulo

Quantization of hyperspectral image manifold using probabilistic distances Gianni Franchi, Jesús Angulo

Jesús Angulo

Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation Jesús Angulo

Salem Said, Lionel Bombrun, Yannick Berthoumieu

Texture classification using Rao's distance on the space of covariance matrices Salem Said, Lionel Bombrun, Yannick Berthoumieu

Thibaut Le Gouic, Jean-Michel Loubes

Barycenter in Wasserstein space existence and consistency Thibaut Le Gouic, Jean-Michel Loubes

Reiner Lenz

Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy Reiner Lenz

Alexis Decurninge

Julien Rabin, Nicolas Papadakis

Non-convex relaxation of optimal transport for color transfer between images Julien Rabin, Nicolas Papadakis

Stephane Puechmorel, Florence Nicol

Entropy minimizing curves with application to automated flight path design Stephane Puechmorel, Florence Nicol

Emmanuel Chevallier, Jesús Angulo, Ivar Farup

Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup

Dena Asta

Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco

Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco

Barbara Gris, Stanley Durrleman, Alain Trouvé

A sub-Riemannian modular approach for diffeomorphic deformations Barbara Gris, Stanley Durrleman, Alain Trouvé

Minh Ha Quang

Affine-invariant Riemannian Distance Between Infinite-dimensional Covariance Operators Minh Ha Quang

Xavier Pennec

Barycentric Subspaces and Affine Spans in Manifolds Xavier Pennec

Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann

Dimension Reduction on Polyspheres with Application to Skeletal Representations Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann

Stefan Sommer

Evolution Equations with Anisotropic Distributions and Diffusion PCA Stefan Sommer

Martin Kleinsteuber, Hao Shen

Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization Martin Kleinsteuber, Hao Shen

Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis

Fitting Smooth Paths on Riemannian Manifolds - Endometrial Surface Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis

Kathrin Welker, Volker Schulz, Martin Siebenborn

PDE Constrained Shape Optimization as Optimization on Shape Manifolds Kathrin Welker, Volker Schulz, Martin Siebenborn

Nicolas Boumal

Riemannian trust regions with finite-difference Hessian approximations are globally convergent Nicolas Boumal

Matthieu Genicot, Wen Huang, Nickolay Trendafilov

Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov

Xavier Pennec, Nina Miolane

Biased estimators on quotient spaces Xavier Pennec, Nina Miolane

Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le

Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le

Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco

Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco

Julien Lefèvre, Guillaume Auzias

Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions Julien Lefèvre, Guillaume Auzias

Sylvain Arguillere

The abstract setting for shape deformation analysis and LDDMM methods Sylvain Arguillere

Martin Bauer, Martins Bruveris, Peter Michor

Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor

Bijan Afsari, Gregory S. Chirikjian

Deblurring and Recovering Conformational States in 3D Single Particle Electron Bijan Afsari, Gregory S. Chirikjian

Dario Prandi, Ugo Boscain, Jean-Paul Gauthier

Image processing in the semidiscrete group of rototranslations Dario Prandi, Ugo Boscain, Jean-Paul Gauthier

Santiago Velasco-Forero, Jesús Angulo

Nonlinear operators on graphs via stacks Santiago Velasco-Forero, Jesús Angulo

Thomas Hotz, Florian Kelma, Johannes Wieditz

Universal, non-asymptotic confidence sets for circular means Thomas Hotz, Florian Kelma, Johannes Wieditz

Eric Justh, P. S. Krishnaprasad

Enlargement, geodesics, and collectives Eric Justh, P. S. Krishnaprasad

Géry de Saxcé

Entropy and structure of the thermodynamical systems Géry de Saxcé

Frederic Boyer, Federico Renda

Poincaré's equations for Cosserat shells - application to locomotion of cephalopods Frederic Boyer, Federico Renda

Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero

Pontryagin calculus in Riemannian geometry Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero

Krzysztof Krakowski, Luís Machado, Fátima Leite

Rolling Symmetric Spaces Krzysztof Krakowski, Luís Machado, Fátima Leite

Imre Csiszár, Thomas Breuer, Michel Broniatowski

An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski

Jan Naudts, Ben Anthonis, Michel Broniatowski

Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski

Michel Broniatowski, Diaa Al Mohamad

Generalized EM algorithms for minimum divergence estimation Michel Broniatowski, Diaa Al Mohamad

Philippe Regnault, Amor Keziou

Generalized Mutual-Information based independence tests Philippe Regnault, Amor Keziou
Détails de l'article
contenu protégé  Document accessible sous conditions - vous devez vous connecter ou vous enregistrer pour accéder à ou acquérir ce document.
- Accès libre pour les ayants-droit

Generalized Mutual-Information based independence tests

Amor Keziou

Multivariate divergences with application in multisample density ratio models Amor Keziou
Détails de l'article
contenu protégé  Document accessible sous conditions - vous devez vous connecter ou vous enregistrer pour accéder à ou acquérir ce document.
- Accès libre pour les ayants-droit

Multivariate divergences with application in multisample density ratio models

Charles-Michel Marle

Actions of Lie groups and Lie algebras on symplectic and Poisson manifolds. Application to Lagrangian and Hamiltonian systems Charles-Michel Marle

Marc Arnaudon

Tudor Ratiu

Dominique Spehner

Geometry on the set of quantum states and quantum correlations Dominique Spehner

News

Orbituary: Profound sadness on the passing of Professeur Jean-Louis Koszul (1921-2018+), Friday January 12th 2018, Geometer, Henri Cartan's PhD student, member of Bourbaki, who honored us with his presence at GSI'13 (https://www.see.asso.fr/gsi2013) for Hirohiko Shima keynote on Geometry of Hessian Structures related to Koszul forms and Koszul-Vinberg Characteristic Function.
Jean-Louis Koszul et les structures élémentaires de la Géométrie de l’Information
The number of participants is limited to 200...
REGISTER NOW!
Latest conference information and registration at www.gsi2015.org/

As for GSI’13, the objective of this SEE Conference GSI’15, hosted by Ecole Polytechnique, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.

It emphasizes an active participation of young researchers to discuss emerging areas of collaborative research on “Information Geometry Manifolds and Their Advanced Applications”.
Current and ongoing uses of Information Geometry Manifolds in applied mathematics are the following: Advanced Signal/Image/Video Processing, Complex Data Modeling and Analysis, Information Ranking and Retrieval, Coding, Cognitive Systems, Optimal Control, Statistics on Manifolds, Machine Learning, Speech/sound recognition, natural language treatment, etc., which are also substantially relevant for industry.
 
Latest conference information and registration at www.gsi2015.org/

Venue

Ecole Polytechnique, Paris-Saclay (France)

École Polytechnique
Route de Saclay
91128 Palaiseau
France