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

Opening Session (chaired by Frédéric Barbaresco)

Détails de l'article SEE-GSI'15 Opening session Frédéric Barbaresco

Keynote speach Matilde Marcolli (chaired by Daniel Bennequin)

Détails de l'article From Geometry and Physics to Computational Linguistics Matilde Marcolli

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

Détails de l'article The extremal index for a random tessellation Nicolas Chenavier
Détails de l'article A two-color interacting random balls model for co-localization analysis of proteins Frederic Lavancier, Charles Kervrann
Détails de l'article Asymptotics of superposition of point processes Laurent Decreusefond, Aurélien Vasseur
Détails de l'article Asymptotic properties of random polytopes Pierre Calka
Détails de l'article Asymmetric Topologies on Statistical Manifolds Roman Belavkin

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

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

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

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

Détails de l'article New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Casimiro Cavalcante
Détails de l'article Curvatures of Statistical Structures Barbara Opozda
Détails de l'article The Pontryagin Forms of Hessian Manifolds John Armstrong, Shun-Ichi Amari
Détails de l'article Matrix realization of a homogeneous cone Hideyuki Ishi
Détails de l'article Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Nguiffo Boyom, Jamali Mohammed, Hasan Shahid

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

Détails de l'article Information Algebras and their Applications Matilde Marcolli
Détails de l'article Finite polylogarithms, their multiple analogues and the Shannon entropy Philippe Elbaz-Vincent, Herbert Gangl
Détails de l'article Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra
Détails de l'article 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

Short course (chaired by Roger Balian)

Détails de l'article Geometry on the set of quantum states and quantum correlations Dominique Spehner

Keynote speach Marc Arnaudon (chaired by Frank Nielsen)

Détails de l'article Stochastic Euler-Poincaré reduction Marc Arnaudon

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

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

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

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

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

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

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

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

Détails de l'article Non-convex relaxation of optimal transport for color transfer between images Julien Rabin, Nicolas Papadakis
Détails de l'article Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy Reiner Lenz
Détails de l'article Barycenter in Wasserstein space existence and consistency Thibaut Le Gouic, Jean-Michel Loubes
Détails de l'article Multivariate L-moments based on transports Alexis Decurninge

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

Détails de l'article Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco
Détails de l'article Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup
Détails de l'article Entropy minimizing curves with application to automated flight path design Stephane Puechmorel, Florence Nicol
Détails de l'article Kernel Density Estimation on Symmetric Spaces Dena Asta

Keynote speach Tudor Ratiu (chaired by Xavier Pennec)

Détails de l'article Symetry methods in geometrics mechanics Tudor Ratiu

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

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

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

Détails de l'article Riemannian trust regions with finite-difference Hessian approximations are globally convergent Nicolas Boumal
Détails de l'article Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization Martin Kleinsteuber, Hao Shen
Détails de l'article Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov
Détails de l'article Fitting Smooth Paths on Riemannian Manifolds - Endometrial Surface Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis
Détails de l'article 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)

Détails de l'article Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions Julien Lefèvre, Guillaume Auzias
Détails de l'article Biased estimators on quotient spaces Xavier Pennec, Nina Miolane
Détails de l'article Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor
Détails de l'article Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Détails de l'article Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le
Détails de l'article 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)

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

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

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

Divergence Geometry (chaired by Michel Broniatowski, Imre Csiszár)

Détails de l'article Generalized EM algorithms for minimum divergence estimation Michel Broniatowski, Diaa Al Mohamad
Détails de l'article Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski
Détails de l'article An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski
Détails de l'article Multivariate divergences with application in multisample density ratio models Amor Keziou
Détails de l'article Generalized Mutual-Information based independence tests Philippe Regnault, Amor Keziou

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

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

Authors

Alain Sarlette

Détails de l'article A common symmetrization framework for random linear algorithms Alain Sarlette

Alain Trouvé

Détails de l'article A sub-Riemannian modular approach for diffeomorphic deformations Barbara Gris, Stanley Durrleman, Alain Trouvé

Alexis Decurninge

Détails de l'article Multivariate L-moments based on transports Alexis Decurninge

Alfred Galichon

Détails de l'article The nonlinear Bernstein-Schrodinger equation in Economics Alfred Galichon, Scott Kominers, Simon Weber

Ali Mohammad-Djafari

Détails de l'article Variational Bayesian Approximation method for Classification and Clustering with a mixture of Studen Ali Mohammad-Djafari

Alice Le Brigant

Détails de l'article Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco

Amor Keziou

Détails de l'article Generalized Mutual-Information based independence tests Philippe Regnault, Amor Keziou
Détails de l'article Multivariate divergences with application in multisample density ratio models Amor Keziou

Anass Bellachehab

Détails de l'article Random Pairwise Gossip on CAT(k) Metric Spaces Anass Bellachehab, Jérémie Jakubowicz

Anna-Lena Kißlinger

Détails de l'article New model search for nonlinear recursive models, regressions and autoregressions Wolfgang Stummer, Anna-Lena Kißlinger

Antoine Arnould

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

Aqsa Shabbir

Détails de l'article Color Texture Discrimination using the Principal Geodesic Distance on a Multivariate Generalized Gau Geert Verdoolaege, Aqsa Shabbir

Aurélien Vasseur

Détails de l'article Asymptotics of superposition of point processes Laurent Decreusefond, Aurélien Vasseur

Axel Barrau

Détails de l'article An intrinsic Cramér-Rao bound on Lie groups

Barbara Gris

Détails de l'article A sub-Riemannian modular approach for diffeomorphic deformations Barbara Gris, Stanley Durrleman, Alain Trouvé

Barbara Opozda

Détails de l'article Curvatures of Statistical Structures Barbara Opozda

Ben Anthonis

Détails de l'article Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski

Benjamin Eltzner

Détails de l'article Dimension Reduction on Polyspheres with Application to Skeletal Representations Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann

Benoit Huyot

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

Bijan Afsari

Détails de l'article Deblurring and Recovering Conformational States in 3D Single Particle Electron Bijan Afsari, Gregory S. Chirikjian

Chafik Samir

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

Charles Casimiro Cavalcante

Détails de l'article New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Casimiro Cavalcante

Charles Kervrann

Détails de l'article A two-color interacting random balls model for co-localization analysis of proteins Frederic Lavancier, Charles Kervrann

Charles-Michel Marle

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

Christian Leonard

Détails de l'article Some geometric consequences of the Schrödinger problem Christian Leonard

Christophe Saint-Jean

Détails de l'article Online k-MLE for mixture modeling with exponential families Christophe Saint-Jean, Frank Nielsen

Damiano Brigo

Détails de l'article Stochastic PDE projection on manifolds Assumed-Density and Galerkin Filters Damiano Brigo, John Armstrong

Danielle Fortune

Détails de l'article Pontryagin calculus in Riemannian geometry Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero

Dario Prandi

Détails de l'article Image processing in the semidiscrete group of rototranslations Dario Prandi, Ugo Boscain, Jean-Paul Gauthier

David de Souza

Détails de l'article New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Casimiro Cavalcante

Dena Asta

Détails de l'article Kernel Density Estimation on Symmetric Spaces Dena Asta

Diaa Al Mohamad

Détails de l'article Generalized EM algorithms for minimum divergence estimation Michel Broniatowski, Diaa Al Mohamad

Dominique Spehner

Détails de l'article Geometry on the set of quantum states and quantum correlations Dominique Spehner

Emmanuel Chevallier

Détails de l'article Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup
Détails de l'article Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco

Emmanuel Kalunga

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

Eric Justh

Détails de l'article Enlargement, geodesics, and collectives Eric Justh, P. S. Krishnaprasad

Eric Monacelli

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

Fátima Leite

Détails de l'article Rolling Symmetric Spaces Krzysztof Krakowski, Luís Machado, Fátima Leite

Federico Renda

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

Florence Nicol

Détails de l'article Entropy minimizing curves with application to automated flight path design Stephane Puechmorel, Florence Nicol

Florian Kelma

Détails de l'article Universal, non-asymptotic confidence sets for circular means Thomas Hotz, Florian Kelma, Johannes Wieditz

Francois Dubois

Détails de l'article Pontryagin calculus in Riemannian geometry Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero

Frank Critchley

Détails de l'article Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott
Détails de l'article Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Frank Nielsen

Détails de l'article Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry Frank Nielsen, Gaëtan Hadjeres
Détails de l'article Bag-of-components an online algorithm for batch learning of mixture models Olivier Schwander, Frank Nielsen
Détails de l'article Online k-MLE for mixture modeling with exponential families Christophe Saint-Jean, Frank Nielsen
Détails de l'article TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

Frédéric Barbaresco

Détails de l'article Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco
Détails de l'article Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Détails de l'article SEE-GSI'15 Opening session Frédéric Barbaresco
Détails de l'article Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics Frédéric Barbaresco

Frederic Boyer

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

Frederic Lavancier

Détails de l'article A two-color interacting random balls model for co-localization analysis of proteins Frederic Lavancier, Charles Kervrann

Gaëtan Hadjeres

Détails de l'article Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry Frank Nielsen, Gaëtan Hadjeres

Garvesh Raskutti

Détails de l'article The information geometry of mirror descent Garvesh Raskutti, Sayan Mukherjee

Gautier Marti

Détails de l'article TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

Geert Verdoolaege

Détails de l'article Color Texture Discrimination using the Principal Geodesic Distance on a Multivariate Generalized Gau Geert Verdoolaege, Aqsa Shabbir

Germain Van Bever

Détails de l'article Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott
Détails de l'article Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Géry de Saxcé

Détails de l'article Entropy and structure of the thermodynamical systems Géry de Saxcé

Gianni Franchi

Détails de l'article Quantization of hyperspectral image manifold using probabilistic distances Gianni Franchi, Jesús Angulo

Giovanni Pistone

Détails de l'article Second-order Optimization over the Multivariate Gaussian Distribution Luigi Malagò, Giovanni Pistone

Gregory S. Chirikjian

Détails de l'article Deblurring and Recovering Conformational States in 3D Single Particle Electron Bijan Afsari, Gregory S. Chirikjian

Guillaume Auzias

Détails de l'article Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions Julien Lefèvre, Guillaume Auzias

Hao Shen

Détails de l'article Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization Martin Kleinsteuber, Hao Shen

Hasan Shahid

Détails de l'article Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Nguiffo Boyom, Jamali Mohammed, Hasan Shahid

Herbert Gangl

Détails de l'article Finite polylogarithms, their multiple analogues and the Shannon entropy Philippe Elbaz-Vincent, Herbert Gangl

Hideyuki Ishi

Détails de l'article Matrix realization of a homogeneous cone Hideyuki Ishi

Hiroshi Matsuzoe

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

Hiroto Inoue

Détails de l'article Group Theoretical Study on Geodesics for the Elliptical Models Hiroto Inoue

Hong Van Le

Détails de l'article Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le

Imre Csiszár

Détails de l'article An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski

Ivar Farup

Détails de l'article Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup

Jamali Mohammed

Détails de l'article Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Nguiffo Boyom, Jamali Mohammed, Hasan Shahid

James Tao

Détails de l'article Transformations and Coupling Relations for Affine Connections James Tao, Jun Zhang

Jan Naudts

Détails de l'article Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski

Jean-Charles Pinoli

Détails de l'article 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

Jean-François Marcotorchino

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

Jean-Michel Loubes

Détails de l'article Barycenter in Wasserstein space existence and consistency Thibaut Le Gouic, Jean-Michel Loubes

Jean-Paul Gauthier

Détails de l'article Image processing in the semidiscrete group of rototranslations Dario Prandi, Ugo Boscain, Jean-Paul Gauthier

Jérémie Jakubowicz

Détails de l'article Random Pairwise Gossip on CAT(k) Metric Spaces Anass Bellachehab, Jérémie Jakubowicz

Jesús Angulo

Détails de l'article Histograms of images valued in the manifold of colours endowed with perceptual metrics Emmanuel Chevallier, Jesús Angulo, Ivar Farup
Détails de l'article Nonlinear operators on graphs via stacks Santiago Velasco-Forero, Jesús Angulo
Détails de l'article Probability density estimation on the hyperbolic space applied to radar processing Emmanuel Chevallier, Jesús Angulo, Frédéric Barbaresco
Détails de l'article Quantization of hyperspectral image manifold using probabilistic distances Gianni Franchi, Jesús Angulo
Détails de l'article Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation Jesús Angulo

Johan Debayle

Détails de l'article 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

Johannes Wieditz

Détails de l'article Universal, non-asymptotic confidence sets for circular means Thomas Hotz, Florian Kelma, Johannes Wieditz

John Armstrong

Détails de l'article Stochastic PDE projection on manifolds Assumed-Density and Galerkin Filters Damiano Brigo, John Armstrong
Détails de l'article The Pontryagin Forms of Hessian Manifolds John Armstrong, Shun-Ichi Amari

José Ignacio Burgos Gil

Détails de l'article Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra

Juan Antonio Rojas Quintero

Détails de l'article Pontryagin calculus in Riemannian geometry Francois Dubois, Danielle Fortune, Juan Antonio Rojas Quintero

Julien Lefèvre

Détails de l'article Spherical parameterization for genus zero surfaces using Laplace-Beltrami eigenfunctions Julien Lefèvre, Guillaume Auzias

Julien Rabin

Détails de l'article Non-convex relaxation of optimal transport for color transfer between images Julien Rabin, Nicolas Papadakis

Jun Zhang

Détails de l'article Transformations and Coupling Relations for Affine Connections James Tao, Jun Zhang

Jürgen Jost

Détails de l'article Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le

Karim Djouani

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

Kathrin Welker

Détails de l'article PDE Constrained Shape Optimization as Optimization on Shape Manifolds Kathrin Welker, Volker Schulz, Martin Siebenborn

Krzysztof Krakowski

Détails de l'article Rolling Symmetric Spaces Krzysztof Krakowski, Luís Machado, Fátima Leite

Laurent Decreusefond

Détails de l'article Asymptotics of superposition of point processes Laurent Decreusefond, Aurélien Vasseur

Lionel Bombrun

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

Lorenz Schwachhöfer

Détails de l'article Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le

Luigi Malagò

Détails de l'article Second-order Optimization over the Multivariate Gaussian Distribution Luigi Malagò, Giovanni Pistone

Luís Machado

Détails de l'article Rolling Symmetric Spaces Krzysztof Krakowski, Luís Machado, Fátima Leite

Marc Arnaudon

Détails de l'article Reparameterization invariant metric on the space of curves Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
Détails de l'article Stochastic Euler-Poincaré reduction Marc Arnaudon

Martin Bauer

Détails de l'article Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor

Martin Kleinsteuber

Détails de l'article Block-Jacobi methods with Newton-steps and non-unitary joint matrix diagonalization Martin Kleinsteuber, Hao Shen

Martin Siebenborn

Détails de l'article PDE Constrained Shape Optimization as Optimization on Shape Manifolds Kathrin Welker, Volker Schulz, Martin Siebenborn

Martin Sombra

Détails de l'article Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra

Martins Bruveris

Détails de l'article Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor

Matilde Marcolli

Détails de l'article From Geometry and Physics to Computational Linguistics Matilde Marcolli
Détails de l'article Information Algebras and their Applications Matilde Marcolli

Matthieu Genicot

Détails de l'article Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov

Michel Broniatowski

Détails de l'article An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski
Détails de l'article Extension of information geometry to non-statistical systems some examples Jan Naudts, Ben Anthonis, Michel Broniatowski
Détails de l'article Generalized EM algorithms for minimum divergence estimation Michel Broniatowski, Diaa Al Mohamad

Michel Canis

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

Michel Nguiffo Boyom

Détails de l'article Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form Michel Nguiffo Boyom, Jamali Mohammed, Hasan Shahid

Michele Pavon

Détails de l'article Optimal mass transport over bridges Yonxin Chen, Tryphon Georgiou, Michele Pavon

Minh Ha Quang

Détails de l'article Affine-invariant Riemannian Distance Between Infinite-dimensional Covariance Operators Minh Ha Quang

Monta Sakamoto

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

Nickolay Trendafilov

Détails de l'article Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov

Nicolas Boumal

Détails de l'article Riemannian trust regions with finite-difference Hessian approximations are globally convergent Nicolas Boumal

Nicolas Chenavier

Détails de l'article The extremal index for a random tessellation Nicolas Chenavier

Nicolas Papadakis

Détails de l'article Non-convex relaxation of optimal transport for color transfer between images Julien Rabin, Nicolas Papadakis

Nihat Ay

Détails de l'article Invariant geometric structures on statistical models Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hong Van Le
Détails de l'article Standard Divergence in Manifold of Dual Affine Connections Shun-Ichi Amari, Nihat Ay

Nina Miolane

Détails de l'article Biased estimators on quotient spaces Xavier Pennec, Nina Miolane

Olivier Schwander

Détails de l'article Bag-of-components an online algorithm for batch learning of mixture models Olivier Schwander, Frank Nielsen

Osamu Komori

Détails de l'article Path connectedness on a space of probability density functions Shinto Eguchi, Osamu Komori

P. S. Krishnaprasad

Détails de l'article Enlargement, geodesics, and collectives Eric Justh, P. S. Krishnaprasad

Patrice Philippon

Détails de l'article Heights of toric varieties, integration over polytopes and entropy José Ignacio Burgos Gil, Patrice Philippon, Martin Sombra

Paul Marriott

Détails de l'article Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott
Détails de l'article Computing Boundaries in Local Mixture Models Vahed Maroufy, Paul Marriott
Détails de l'article Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Peter Michor

Détails de l'article Uniqueness of the Fisher-Rao Metric on the Space of Smooth Densities Martin Bauer, Martins Bruveris, Peter Michor

Philippe Donnat

Détails de l'article TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

Philippe Elbaz-Vincent

Détails de l'article Finite polylogarithms, their multiple analogues and the Shannon entropy Philippe Elbaz-Vincent, Herbert Gangl

Philippe Regnault

Détails de l'article Generalized Mutual-Information based independence tests Philippe Regnault, Amor Keziou

Philippe Very

Détails de l'article TS-GNPR Clustering Random Walk Time Series Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat

Pierre Calka

Détails de l'article Asymptotic properties of random polytopes Pierre Calka

Pierre-Antoine Absil

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

Pierre-Yves Gousenbourger

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

Quentin Barthélemy

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

Radka Sabolova

Détails de l'article Computational Information Geometry: mixture modelling Germain Van Bever, Radka Sabolova, Frank Critchley, Paul Marriott
Détails de l'article Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley

Reiner Lenz

Détails de l'article Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy Reiner Lenz

Roman Belavkin

Détails de l'article Asymmetric Topologies on Statistical Manifolds Roman Belavkin

Rui F. Vigelis

Détails de l'article New metric and connections in statistical manifolds Rui F. Vigelis, David de Souza, Charles Casimiro Cavalcante

Saïd Rahmani

Détails de l'article 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

Salem Said

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

Santiago Velasco-Forero

Détails de l'article Nonlinear operators on graphs via stacks Santiago Velasco-Forero, Jesús Angulo

Sayan Mukherjee

Détails de l'article The information geometry of mirror descent Garvesh Raskutti, Sayan Mukherjee

Scott Kominers

Détails de l'article The nonlinear Bernstein-Schrodinger equation in Economics Alfred Galichon, Scott Kominers, Simon Weber

Shinto Eguchi

Détails de l'article Path connectedness on a space of probability density functions Shinto Eguchi, Osamu Komori

Shun-Ichi Amari

Détails de l'article Standard Divergence in Manifold of Dual Affine Connections Shun-Ichi Amari, Nihat Ay
Détails de l'article The Pontryagin Forms of Hessian Manifolds John Armstrong, Shun-Ichi Amari

Silvère Bonnabel

Détails de l'article An intrinsic Cramér-Rao bound on Lie groups

Simon Weber

Détails de l'article The nonlinear Bernstein-Schrodinger equation in Economics Alfred Galichon, Scott Kominers, Simon Weber

Stanley Durrleman

Détails de l'article A sub-Riemannian modular approach for diffeomorphic deformations Barbara Gris, Stanley Durrleman, Alain Trouvé

Stefan Sommer

Détails de l'article Evolution Equations with Anisotropic Distributions and Diffusion PCA Stefan Sommer

Stephan Huckemann

Détails de l'article Dimension Reduction on Polyspheres with Application to Skeletal Representations Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann

Stephane Puechmorel

Détails de l'article Entropy minimizing curves with application to automated flight path design Stephane Puechmorel, Florence Nicol

Sungkyu Jung

Détails de l'article Dimension Reduction on Polyspheres with Application to Skeletal Representations Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann

Sylvain Arguillere

Détails de l'article The abstract setting for shape deformation analysis and LDDMM methods Sylvain Arguillere

Sylvain Chevallier

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

Thibaut Le Gouic

Détails de l'article Barycenter in Wasserstein space existence and consistency Thibaut Le Gouic, Jean-Michel Loubes

Thomas Breuer

Détails de l'article An Information Geometry Problem in Mathematical Finance Imre Csiszár, Thomas Breuer, Michel Broniatowski

Thomas Hotz

Détails de l'article Universal, non-asymptotic confidence sets for circular means Thomas Hotz, Florian Kelma, Johannes Wieditz

Tomonari Sei

Détails de l'article Differential geometric properties of textile plot Tomonari Sei, Ushio Tanaka

Tryphon Georgiou

Détails de l'article Optimal mass transport over bridges Yonxin Chen, Tryphon Georgiou, Michele Pavon

Tudor Ratiu

Détails de l'article Symetry methods in geometrics mechanics Tudor Ratiu

Ugo Boscain

Détails de l'article Image processing in the semidiscrete group of rototranslations Dario Prandi, Ugo Boscain, Jean-Paul Gauthier

Ushio Tanaka

Détails de l'article Differential geometric properties of textile plot Tomonari Sei, Ushio Tanaka

Vahed Maroufy

Détails de l'article Computing Boundaries in Local Mixture Models Vahed Maroufy, Paul Marriott

Volker Schulz

Détails de l'article PDE Constrained Shape Optimization as Optimization on Shape Manifolds Kathrin Welker, Volker Schulz, Martin Siebenborn

Wen Huang

Détails de l'article Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Matthieu Genicot, Wen Huang, Nickolay Trendafilov

Wolfgang Stummer

Détails de l'article New model search for nonlinear recursive models, regressions and autoregressions Wolfgang Stummer, Anna-Lena Kißlinger

Xavier Pennec

Détails de l'article Barycentric Subspaces and Affine Spans in Manifolds Xavier Pennec
Détails de l'article Biased estimators on quotient spaces Xavier Pennec, Nina Miolane

Yann Ollivier

Détails de l'article Laplace's rule of succession in information geometry Yann Ollivier

Yannick Berthoumieu

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

Yonxin Chen

Détails de l'article Optimal mass transport over bridges Yonxin Chen, Tryphon Georgiou, Michele Pavon

Yskandar Hamam

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

Yves Mabiala

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

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...
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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
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