The objective of this SEE Conference hosted by MINES ParisTech is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.

 It emphasises an active participation of young researchers for deliberating 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 the industry.

The Conference will be therefore being held in areas of priority/focused themes and topics of mutual interest with a mandate to:

  • Provide an overview on the most recent state-of-the-art
  • Exchange of mathematical information/knowledge/expertise in the area
  • Identification of research areas/applications for future collaboration
  • Identification of academic & industry labs expertise for further collaboration

This conference will be an interdisciplinary event and will federate skills from Geometry, Probability and Information Theory to address the following topics among others. The conference proceedings, are published in Springer's Lecture Notes in Computer Science (LNCS) series.

- Computational Information Geometry
- Hessian/Symplectic Information Geometry
- Optimization on Matrix Manifolds
- Probability on Manifolds
- Optimal Transport Geometry
- Divergence Geometry & Ancillarity
- Machine/Manifold/Topology Learning
- Tensor-Valued Mathematical Morphology
- Differential Geometry in Signal Processing
- Geometry of Audio Processing
- Geometry for Inverse Problems
- Shape Spaces: Geometry and Statistic
- Geometry of Shape Variability
- Relational Metric
- Discrete Metric Spaces

A propos

The objective of this SEE Conference hosted by MINES ParisTech is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis.

 It emphasises an active participation of young researchers for deliberating 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 the industry.

The Conference will be therefore being held in areas of priority/focused themes and topics of mutual interest with a mandate to:

  • Provide an overview on the most recent state-of-the-art
  • Exchange of mathematical information/knowledge/expertise in the area
  • Identification of research areas/applications for future collaboration
  • Identification of academic & industry labs expertise for further collaboration

This conference will be an interdisciplinary event and will federate skills from Geometry, Probability and Information Theory to address the following topics among others. The conference proceedings, are published in Springer's Lecture Notes in Computer Science (LNCS) series.

- Computational Information Geometry
- Hessian/Symplectic Information Geometry
- Optimization on Matrix Manifolds
- Probability on Manifolds
- Optimal Transport Geometry
- Divergence Geometry & Ancillarity
- Machine/Manifold/Topology Learning
- Tensor-Valued Mathematical Morphology
- Differential Geometry in Signal Processing
- Geometry of Audio Processing
- Geometry for Inverse Problems
- Shape Spaces: Geometry and Statistic
- Geometry of Shape Variability
- Relational Metric
- Discrete Metric Spaces

Comités

Comité d'organisation

Program chairs

Scientific committee

Sponsors et organisateurs

Documents

XLS

Synthèse (Frédéric Barbaresco)

Détails de l'article SEE/SMF GSI’13 : 1 ère conférence internationale sur les Sciences  Géométriques de l’Information à l’Ecole des Mines de Paris Frédéric Barbaresco

POSTER SESSION (Frédéric Barbaresco)

Détails de l'article Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru
Détails de l'article High-Dimensional Range profile geometrical visualization and performance estimation of classification of radar targets via a Gaussian mixture model Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte
Détails de l'article Target detection in non-stationary clutter background and Riemannian geometry Haiyan Fan
Détails de l'article Visual Point Set Processing with Lattice Structures: Application to parsimonious representations of digital histopathology images Nicolas Loménie

Guest speech (Shun-Ichi Amari)

Détails de l'article Information Geometry and Its Applications: Survey Shun-Ichi Amari

OPENING SESSION ()

Détails de l'article Opening session

ORAL SESSION 1 Geometric Statistics on manifolds and Lie groups (Xavier Pennec)

Détails de l'article A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling Approach Sheng YI
Détails de l'article Bi-invariant means on Lie groups with Cartan-Schouten connections Xavier Pennec
Détails de l'article Horizontal Dimensionality Reduction and Iterated Frame Bundle Development Stefan Sommer
Détails de l'article Parallel Transport with Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec
Détails de l'article Parallel Transport with the Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec

Keynote speech 1 (Yann Ollivier)

Détails de l'article Objective Improvement in Information-Geometric Optimization Yann Ollivier

ORAL SESSION 2 Deformations in Shape Spaces (Alain Trouvé)

Détails de l'article Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman
Détails de l'article On geometry and deformation of shapes represented by piecewise continuous Bézier curves with application to shape optimization Olivier Ruatta
Détails de l'article Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics Christof Seiler, Xavier Pennec, Susan Holmes
Détails de l'article Template Estimation for Large Database : a DiffeomorphicIterative Centroid Method Using Currents Claire Cury

Keynote speech 2 (Hirohiko Shima)

Détails de l'article Geometry of Hessian Structures Hirohiko Shima

ORAL SESSION 3 Differential Geometry in Signal Processing (Michel Berthier)

Détails de l'article A Riemannian Fourier Transform via Spin Representations Michel Berthier
Détails de l'article K-Centroids-Based Supervised Classification of Texture Images using the SIRV modeling Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu

Keynote speech 3 (Giovanni Pistone)

Détails de l'article Dimensionality reduction for classification of stochastic fibre radiographs Christopher TJ Dodson, William W. Sampson
Détails de l'article Nonparametric Information Geometry Giovanni Pistone

ORAL SESSION 4 Relational Metric (Jean-François Marcotorchino)

Détails de l'article A general framework for comparing heterogeneous binary relations Julien Ah-Pine
Détails de l'article Comparison of linear modularization criteria of networks using relational metric Patricia Conde Céspedes
Détails de l'article On Prime-valent Symmetric Bicirculants and Cayley Snarks Klavdija Kutnar
Détails de l'article Optimal Transport and Minimal Trade Problem, Impacts on Relational Metrics and Applications to Large Graphs and Networks Modular Jean-François Marcotorchino

ORAL SESSION 5 Discrete Metric Spaces (Michel Deza)

Détails de l'article Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud
Détails de l'article Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino
Détails de l'article Studying new classes of graph metrics Pavel Chebotarev
Détails de l'article Tessellabilities, Reversibilities, and Decomposabilities of Polytopes Jin Akiyama

ORAL SESSION 6 Computational Information Geometry (Frank Nielsen)

Détails de l'article A new implementation of k-MLE for mixture modelling of Wishart distributions Christophe Saint-Jean, Frank Nielsen
Détails de l'article Hypothesis testing, information divergence and computational geometry Frank Nielsen
Détails de l'article The exponential family in abstract information theory Jan Naudts, Ben Anthonis
Détails de l'article Variational Problem in Euclidean Space With Density Lakehal Belarbi, Mohamed Belkhelfa

ORAL SESSION Hessian Information Geometry I (chaired by Michel Nguiffo Boyom)

Détails de l'article Complexification of Information Geometry in view of quantum estimation theory Hiroshi Nagaoka
Détails de l'article Fisher Information Geometry of the Barycenter of Probability Measures Mitsuhiro Itoh, Hiroyasu Satoh
Détails de l'article Foliations on Affinely Flat Manifolds Information Geometry Robert Wolak, Michel Nguiffo Boyom
Détails de l'article Hessian structures on deformed exponential families Hiroshi Matsuzoe, Masayuki Henmi
Détails de l'article Isometric Reeb Flow and Related Results on Hermitian Symmetric Spaces of Rank 2 Young Jin Suh

ORAL SESSION 8 Computational Aspects of Information Geometry in Statistics (chaired by Frank Critchley)

Détails de l'article A General Metric for Riemannian Hamiltonian Monte Carlo Michael Betancourt
Détails de l'article Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos
Détails de l'article Computational information geometry in statistics: mixture modelling Paul Marriott
Détails de l'article Visualizing projective shape space John Kent

ORAL SESSION 9 Optimization on Matrix Manifolds (Silvere Bonnabel)

Détails de l'article A Geometric Framework for Non-unitary Joint Diagonalization of Complex Symmetric Matrices Martin Kleinsteuber
Détails de l'article An extrinsic look at the Riemannian Hessian Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf
Détails de l'article Discrete curve fitting on manifolds Nicolas Boumal, Pierre-Antoine Absil
Détails de l'article Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information Roman V. Belavkin
Détails de l'article Some remarks on the intrinsic Cramer-Rao bound Axel Barrau, Silvère Bonnabel

ORAL SESSION 10 Optimal Transport Theory (Gabriel Peyré)

Détails de l'article A primal-dual approach for a total variation Wasserstein flow Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb
Détails de l'article Dual Methods for Optimal Transport Quentin Mérigot
Détails de l'article The Tangent Earth Mover's Distance Ofir Pele, Ben Taskar

ORAL SESSION 11 Probability on Manifolds (Marc Arnaudon)

Détails de l'article Extrinsic vs Intrinsic Means on the Circle Thomas Hotz
Détails de l'article Group Action Induced Distances On Spaces of Linear Stochastic Processes Bijan Afsari, René Vidal
Détails de l'article Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli
Détails de l'article Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging Ronen Talmon  , Yoel Shkolnisky, Ronald Coifman

ORAL SESSION 12 Divergence Geometry & Ancillarity (Michel Broniatowski)

Détails de l'article Estimation under L-moment condition models Michel Broniatowski, Alexis Decurninge
Détails de l'article Generalized minimizers of convex integral functionals and Pythagorean identities Imre Csiszár, František Matúš
Détails de l'article Some results on a χ-divergence, an extended Fisher information and generalized Cramér-Rao inequalities Jean-François Bercher

ORAL SESSION 13 Entropic Geometry (Roger Balian)

Détails de l'article A metric for quantum states issued from von Neumann's entropy (transparents) Roger Balian
Détails de l'article A metric for quantum states issued from von Neumann’s entropy (paper) Roger Balian
Détails de l'article Continuity of f-projections on discrete spaces Christoph Gietl, Fabian Reffel
Détails de l'article Geometry and Shannon Capacity Philippe Jacquet
Détails de l'article The Stochastic Flow Theorem for an Operator of Order Four Rémi Léandre

ORAL SESSION 14 Tensor-Valued Mathematical Morphology (Jesús Angulo)

Détails de l'article Complete lattice structure of Poincaré upper-half plane and mathematical morphology for hyperbolic-valued images Jesús Angulo, Santiago Velasco-Forero
Détails de l'article Frames for Tensor Field Morphology Jasper van de Gronde
Détails de l'article Supervised morphology for structure tensor-valued images based on symmetric divergence kernels Santiago Velasco-Forero, Jesús Angulo
Détails de l'article Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

ORAL SESSION 15 Machine/Manifold/Topology Learning (Frédéric Chazal)

Détails de l'article Adaptation of multiscale function extension to inexact matching. Application to the mapping of individuals to a learnt manifold Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles
Détails de l'article Deconvolution for the Wasserstein metric and topological inference Bertrand Michel
Détails de l'article Interleaved Filtrations: Theory and Applications in Point cloud Data Analysis Frédéric Chazal, Steve Oudot

ORAL SESSION 16 Hessian Information Geometry II (Frédéric Barbaresco)

Détails de l'article Geometric Quantization of complex Monge-Ampère operator for certain diffusion flows Julien Keller
Détails de l'article Geometry on Positive Definite Matrices Induced from V-potential functions Atsumi Ohara, Shinto Eguchi
Détails de l'article Information/Contact Geometries and Koszul Entropy Frédéric Barbaresco
Détails de l'article Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions Jun Zhang

ORAL SESSION 17 Geometry of Audio Processing (Arshia Cont)

Détails de l'article Online Change Detection in Exponential Families with Unknown Parameters Arnaud Dessein, Arshia Cont
Détails de l'article Predictive Information in Gaussian Processes with Application to Music Analysis Samer Abdallah, Mark Plumbley

ORAL SESSION 18 Geometry of Inverse Problems (Ali Mohammad-Djafari)

Détails de l'article A Probabilistic Solution to the AX=XB Problem: Sensor Calibration Without Correspondence Kendal Ackerman, Gregory Chirikjian
Détails de l'article Random ‘Clouds’ on Matrix Lie Groups Simone Fiori
Détails de l'article Stochastic Filtering by Projection - The Example of the Quadratic Sensor John Armstrong, Damiano Brigo
Détails de l'article Variational Bayesian Approximation for Linear Inverse Problems with a hierarchical prior models Ali Mohammad-Djafari

ORAL SESSION 19 Algebraic/Infinite dimensionnal/Banach Information Manifolds (Giovanni Pistone)

Détails de l'article A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences Gabriel Ignacio Loaiza Ossa, Hector R. Quiceno
Détails de l'article Algebraic/Infinite dimensional/Banach Information Manifolds Giovanni Pistone
Détails de l'article Asymptotically Efficient Estimators for Algebraic Statistical Manifolds Kei Kobayashi, Henry Wynn
Détails de l'article Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures Nigel Newton
Détails de l'article The Δ2-condition and ϕ-families of probability distributions Rui F. Vigelis, Charles Casimiro Cavalcante

ORAL SESSION 20 Information Geometry Manifolds (Hichem Snoussi)

Détails de l'article A kernel view on manifold sub-sampling based on Karcher variance optimization Nicolas Courty, Thomas Burger
Détails de l'article Harmonic maps relative to α-connections on Hessian domains Keiko Uohashi
Détails de l'article Maximal Information Divergence from Statistical Models defined by Neural Networks Guido Montùfar, Johannes Rauh, Nihat Ay
Détails de l'article Neighborhood Random Classification Diala Ezzeddine

ORAL SESSION 21 Algorithms on Manifolds (Olivier Swander)

Détails de l'article Deterministic walks and quasi-subgradient methods for the Karcher mean on NPC spaces Miklós Pálfia
Détails de l'article Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations Ben Jeuris
Détails de l'article Multiscale Covariance Fields, Local Scales, and Shape Transforms Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

CLOSING SESSION ()

Détails de l'article SEE GSI'13 Closing session

Détails de l'article lncs_8085_cover.pdf
Détails de l'article The Tangent Earth Mover’s Distance Ofir Pele, Ben Taskar
Détails de l'article Weighted sampling, Maximum likelihood and minimum divergence estimators Michel Broniatowski

Auteurs

Alexis Decurninge

Détails de l'article Estimation under L-moment condition models Michel Broniatowski, Alexis Decurninge

Ali Mohammad-Djafari

Détails de l'article High-Dimensional Range profile geometrical visualization and performance estimation of classification of radar targets via a Gaussian mixture model Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte
Détails de l'article Variational Bayesian Approximation for Linear Inverse Problems with a hierarchical prior models Ali Mohammad-Djafari

Antonio Mucherino

Détails de l'article Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Arnaud Dessein

Détails de l'article Online Change Detection in Exponential Families with Unknown Parameters Arnaud Dessein, Arshia Cont

Arshia Cont

Détails de l'article Online Change Detection in Exponential Families with Unknown Parameters Arnaud Dessein, Arshia Cont

Atsumi Ohara

Détails de l'article Geometry on Positive Definite Matrices Induced from V-potential functions Atsumi Ohara, Shinto Eguchi

Aurélien Schutz

Détails de l'article K-Centroids-Based Supervised Classification of Texture Images using the SIRV modeling Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu

Axel Barrau

Détails de l'article Some remarks on the intrinsic Cramer-Rao bound Axel Barrau, Silvère Bonnabel

Baba Vemuri

Détails de l'article Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

Ben Anthonis

Détails de l'article The exponential family in abstract information theory Jan Naudts, Ben Anthonis

Ben Jeuris

Détails de l'article Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations Ben Jeuris

Ben Taskar

Détails de l'article The Tangent Earth Mover's Distance Ofir Pele, Ben Taskar
Détails de l'article The Tangent Earth Mover’s Distance Ofir Pele, Ben Taskar

Bertram Düring

Détails de l'article A primal-dual approach for a total variation Wasserstein flow Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

Bertrand Michel

Détails de l'article Deconvolution for the Wasserstein metric and topological inference Bertrand Michel

Bijan Afsari

Détails de l'article Group Action Induced Distances On Spaces of Linear Stochastic Processes Bijan Afsari, René Vidal

Carlile Lavor

Détails de l'article Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud
Détails de l'article Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Carola-Bibiane Schönlieb

Détails de l'article A primal-dual approach for a total variation Wasserstein flow Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

Charles Casimiro Cavalcante

Détails de l'article The Δ2-condition and ϕ-families of probability distributions Rui F. Vigelis, Charles Casimiro Cavalcante

Christof Seiler

Détails de l'article Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics Christof Seiler, Xavier Pennec, Susan Holmes

Christoph Gietl

Détails de l'article Continuity of f-projections on discrete spaces Christoph Gietl, Fabian Reffel

Christophe Saint-Jean

Détails de l'article A new implementation of k-MLE for mixture modelling of Wishart distributions Christophe Saint-Jean, Frank Nielsen

Christopher TJ Dodson

Détails de l'article Dimensionality reduction for classification of stochastic fibre radiographs Christopher TJ Dodson, William W. Sampson

Claire Cury

Détails de l'article Template Estimation for Large Database : a DiffeomorphicIterative Centroid Method Using Currents Claire Cury

Damiano Brigo

Détails de l'article Stochastic Filtering by Projection - The Example of the Quadratic Sensor John Armstrong, Damiano Brigo

Diala Ezzeddine

Détails de l'article Neighborhood Random Classification Diala Ezzeddine

Diego Hernan Diaz Martinez

Détails de l'article Multiscale Covariance Fields, Local Scales, and Shape Transforms Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

Éric Nyiri

Détails de l'article Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru

Fabian Reffel

Détails de l'article Continuity of f-projections on discrete spaces Christoph Gietl, Fabian Reffel

Facundo Memoli

Détails de l'article Multiscale Covariance Fields, Local Scales, and Shape Transforms Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

Frank Critchley

Détails de l'article Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos

Frank Nielsen

Détails de l'article A new implementation of k-MLE for mixture modelling of Wishart distributions Christophe Saint-Jean, Frank Nielsen
Détails de l'article Hypothesis testing, information divergence and computational geometry Frank Nielsen
Détails de l'article lncs_8085_cover.pdf

František Matúš

Détails de l'article Generalized minimizers of convex integral functionals and Pythagorean identities Imre Csiszár, František Matúš

Frédéric Barbaresco

Détails de l'article Information/Contact Geometries and Koszul Entropy Frédéric Barbaresco
Détails de l'article lncs_8085_cover.pdf
Détails de l'article SEE/SMF GSI’13 : 1 ère conférence internationale sur les Sciences  Géométriques de l’Information à l’Ecole des Mines de Paris Frédéric Barbaresco

Frédéric Chazal

Détails de l'article Interleaved Filtrations: Theory and Applications in Point cloud Data Analysis Frédéric Chazal, Steve Oudot

Gabriel Ignacio Loaiza Ossa

Détails de l'article A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences Gabriel Ignacio Loaiza Ossa, Hector R. Quiceno

Germano Abud

Détails de l'article Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud

Giovanni Pistone

Détails de l'article Algebraic/Infinite dimensional/Banach Information Manifolds Giovanni Pistone
Détails de l'article Nonparametric Information Geometry Giovanni Pistone

Gregory Chirikjian

Détails de l'article A Probabilistic Solution to the AX=XB Problem: Sensor Calibration Without Correspondence Kendal Ackerman, Gregory Chirikjian

Guido Gerig

Détails de l'article Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Guido Montùfar

Détails de l'article Maximal Information Divergence from Statistical Models defined by Neural Networks Guido Montùfar, Johannes Rauh, Nihat Ay

Haiyan Fan

Détails de l'article Target detection in non-stationary clutter background and Riemannian geometry Haiyan Fan

Hector R. Quiceno

Détails de l'article A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences Gabriel Ignacio Loaiza Ossa, Hector R. Quiceno

Henry Wynn

Détails de l'article Asymptotically Efficient Estimators for Algebraic Statistical Manifolds Kei Kobayashi, Henry Wynn

Hirohiko Shima

Détails de l'article Geometry of Hessian Structures Hirohiko Shima

Hiroshi Matsuzoe

Détails de l'article Hessian structures on deformed exponential families Hiroshi Matsuzoe, Masayuki Henmi

Hiroshi Nagaoka

Détails de l'article Complexification of Information Geometry in view of quantum estimation theory Hiroshi Nagaoka

Hiroyasu Satoh

Détails de l'article Fisher Information Geometry of the Barycenter of Probability Measures Mitsuhiro Itoh, Hiroyasu Satoh

Imre Csiszár

Détails de l'article Generalized minimizers of convex integral functionals and Pythagorean identities Imre Csiszár, František Matúš

James Fishbaugh

Détails de l'article Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Jan Naudts

Détails de l'article The exponential family in abstract information theory Jan Naudts, Ben Anthonis

Jasper van de Gronde

Détails de l'article Frames for Tensor Field Morphology Jasper van de Gronde

Jean-Charles Pinoli

Détails de l'article Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli

Jean-François Bercher

Détails de l'article Some results on a χ-divergence, an extended Fisher information and generalized Cramér-Rao inequalities Jean-François Bercher

Jean-François Marcotorchino

Détails de l'article Optimal Transport and Minimal Trade Problem, Impacts on Relational Metrics and Applications to Large Graphs and Networks Modular Jean-François Marcotorchino

Jesús Angulo

Détails de l'article Complete lattice structure of Poincaré upper-half plane and mathematical morphology for hyperbolic-valued images Jesús Angulo, Santiago Velasco-Forero
Détails de l'article Supervised morphology for structure tensor-valued images based on symmetric divergence kernels Santiago Velasco-Forero, Jesús Angulo

Jin Akiyama

Détails de l'article Tessellabilities, Reversibilities, and Decomposabilities of Polytopes Jin Akiyama

Jochen Trumpf

Détails de l'article An extrinsic look at the Riemannian Hessian Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf

Johannes Rauh

Détails de l'article Maximal Information Divergence from Statistical Models defined by Neural Networks Guido Montùfar, Johannes Rauh, Nihat Ay

John Armstrong

Détails de l'article Stochastic Filtering by Projection - The Example of the Quadratic Sensor John Armstrong, Damiano Brigo

John Kent

Détails de l'article Visualizing projective shape space John Kent

Jorge Alencar

Détails de l'article Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud

Julien Ah-Pine

Détails de l'article A general framework for comparing heterogeneous binary relations Julien Ah-Pine

Julien Keller

Détails de l'article Geometric Quantization of complex Monge-Ampère operator for certain diffusion flows Julien Keller

Julien Lagoutte

Détails de l'article High-Dimensional Range profile geometrical visualization and performance estimation of classification of radar targets via a Gaussian mixture model Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte

Jun Zhang

Détails de l'article Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions Jun Zhang

Karim Anaya-Izquierdo

Détails de l'article Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos

Kei Kobayashi

Détails de l'article Asymptotically Efficient Estimators for Algebraic Statistical Manifolds Kei Kobayashi, Henry Wynn

Keiko Uohashi

Détails de l'article Harmonic maps relative to α-connections on Hessian domains Keiko Uohashi

Kendal Ackerman

Détails de l'article A Probabilistic Solution to the AX=XB Problem: Sensor Calibration Without Correspondence Kendal Ackerman, Gregory Chirikjian

Klavdija Kutnar

Détails de l'article On Prime-valent Symmetric Bicirculants and Cayley Snarks Klavdija Kutnar

Lakehal Belarbi

Détails de l'article Variational Problem in Euclidean Space With Density Lakehal Belarbi, Mohamed Belkhelfa

Laurent Gajny

Détails de l'article Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru

Leo Liberti

Détails de l'article Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud
Détails de l'article Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Lionel Bombrun

Détails de l'article K-Centroids-Based Supervised Classification of Texture Images using the SIRV modeling Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu

Luca Calatroni

Détails de l'article A primal-dual approach for a total variation Wasserstein flow Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

Maher Moakher

Détails de l'article Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

Malek Chari

Détails de l'article Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

Marcel Prastawa

Détails de l'article Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Marco Lorenzi

Détails de l'article Parallel Transport with Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec
Détails de l'article Parallel Transport with the Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec

Mark Plumbley

Détails de l'article Predictive Information in Gaussian Processes with Application to Music Analysis Samer Abdallah, Mark Plumbley

Marta Sitges

Détails de l'article Adaptation of multiscale function extension to inexact matching. Application to the mapping of individuals to a learnt manifold Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles

Martin Benning

Détails de l'article A primal-dual approach for a total variation Wasserstein flow Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

Martin Kleinsteuber

Détails de l'article A Geometric Framework for Non-unitary Joint Diagonalization of Complex Symmetric Matrices Martin Kleinsteuber

Masayuki Henmi

Détails de l'article Hessian structures on deformed exponential families Hiroshi Matsuzoe, Masayuki Henmi

Mathieu De Craene

Détails de l'article Adaptation of multiscale function extension to inexact matching. Application to the mapping of individuals to a learnt manifold Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles

Michael Betancourt

Détails de l'article A General Metric for Riemannian Hamiltonian Monte Carlo Michael Betancourt

Michel Berthier

Détails de l'article A Riemannian Fourier Transform via Spin Representations Michel Berthier

Michel Broniatowski

Détails de l'article Estimation under L-moment condition models Michel Broniatowski, Alexis Decurninge
Détails de l'article Weighted sampling, Maximum likelihood and minimum divergence estimators Michel Broniatowski

Michel Nguiffo Boyom

Détails de l'article Foliations on Affinely Flat Manifolds Information Geometry Robert Wolak, Michel Nguiffo Boyom

Miklós Pálfia

Détails de l'article Deterministic walks and quasi-subgradient methods for the Karcher mean on NPC spaces Miklós Pálfia

Mitsuhiro Itoh

Détails de l'article Fisher Information Geometry of the Barycenter of Probability Measures Mitsuhiro Itoh, Hiroyasu Satoh

Mohamed Belkhelfa

Détails de l'article Variational Problem in Euclidean Space With Density Lakehal Belarbi, Mohamed Belkhelfa

Nelson Maculan

Détails de l'article Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Nicolas Boumal

Détails de l'article Discrete curve fitting on manifolds Nicolas Boumal, Pierre-Antoine Absil

Nicolas Courty

Détails de l'article A kernel view on manifold sub-sampling based on Karcher variance optimization Nicolas Courty, Thomas Burger

Nicolas Duchateau

Détails de l'article Adaptation of multiscale function extension to inexact matching. Application to the mapping of individuals to a learnt manifold Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles

Nicolas Gac

Détails de l'article High-Dimensional Range profile geometrical visualization and performance estimation of classification of radar targets via a Gaussian mixture model Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte

Nicolas Loménie

Détails de l'article Visual Point Set Processing with Lattice Structures: Application to parsimonious representations of digital histopathology images Nicolas Loménie

Nigel Newton

Détails de l'article Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures Nigel Newton

Nihat Ay

Détails de l'article Maximal Information Divergence from Statistical Models defined by Neural Networks Guido Montùfar, Johannes Rauh, Nihat Ay

Ofir Pele

Détails de l'article The Tangent Earth Mover's Distance Ofir Pele, Ben Taskar
Détails de l'article The Tangent Earth Mover’s Distance Ofir Pele, Ben Taskar

Ola Ahmad

Détails de l'article Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli

Olivier Gibaru

Détails de l'article Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru

Olivier Ruatta

Détails de l'article On geometry and deformation of shapes represented by piecewise continuous Bézier curves with application to shape optimization Olivier Ruatta

Patricia Conde Céspedes

Détails de l'article Comparison of linear modularization criteria of networks using relational metric Patricia Conde Céspedes

Paul Marriott

Détails de l'article Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos
Détails de l'article Computational information geometry in statistics: mixture modelling Paul Marriott

Paul Vos

Détails de l'article Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos

Pavel Chebotarev

Détails de l'article Studying new classes of graph metrics Pavel Chebotarev

Philippe Jacquet

Détails de l'article Geometry and Shannon Capacity Philippe Jacquet

Pierre-Antoine Absil

Détails de l'article An extrinsic look at the Riemannian Hessian Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf
Détails de l'article Discrete curve fitting on manifolds Nicolas Boumal, Pierre-Antoine Absil

Quentin Mérigot

Détails de l'article Dual Methods for Optimal Transport Quentin Mérigot

Rémi Léandre

Détails de l'article The Stochastic Flow Theorem for an Operator of Order Four Rémi Léandre

René Vidal

Détails de l'article Group Action Induced Distances On Spaces of Linear Stochastic Processes Bijan Afsari, René Vidal

Robert Mahony

Détails de l'article An extrinsic look at the Riemannian Hessian Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf

Robert Wolak

Détails de l'article Foliations on Affinely Flat Manifolds Information Geometry Robert Wolak, Michel Nguiffo Boyom

Roger Balian

Détails de l'article A metric for quantum states issued from von Neumann's entropy (transparents) Roger Balian
Détails de l'article A metric for quantum states issued from von Neumann’s entropy (paper) Roger Balian

Roman V. Belavkin

Détails de l'article Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information Roman V. Belavkin

Ronald Coifman

Détails de l'article Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging Ronen Talmon  , Yoel Shkolnisky, Ronald Coifman

Ronen Talmon  

Détails de l'article Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging Ronen Talmon  , Yoel Shkolnisky, Ronald Coifman

Rui F. Vigelis

Détails de l'article The Δ2-condition and ϕ-families of probability distributions Rui F. Vigelis, Charles Casimiro Cavalcante

Samer Abdallah

Détails de l'article Predictive Information in Gaussian Processes with Application to Music Analysis Samer Abdallah, Mark Plumbley

Santiago Velasco-Forero

Détails de l'article Complete lattice structure of Poincaré upper-half plane and mathematical morphology for hyperbolic-valued images Jesús Angulo, Santiago Velasco-Forero
Détails de l'article Supervised morphology for structure tensor-valued images based on symmetric divergence kernels Santiago Velasco-Forero, Jesús Angulo

Sheng YI

Détails de l'article A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling Approach Sheng YI

Shinto Eguchi

Détails de l'article Geometry on Positive Definite Matrices Induced from V-potential functions Atsumi Ohara, Shinto Eguchi

Shun-Ichi Amari

Détails de l'article Information Geometry and Its Applications: Survey Shun-Ichi Amari

Silvère Bonnabel

Détails de l'article Some remarks on the intrinsic Cramer-Rao bound Axel Barrau, Silvère Bonnabel

Simone Fiori

Détails de l'article Random ‘Clouds’ on Matrix Lie Groups Simone Fiori

Stanley Durrleman

Détails de l'article Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Stefan Sommer

Détails de l'article Horizontal Dimensionality Reduction and Iterated Frame Bundle Development Stefan Sommer

Steve Oudot

Détails de l'article Interleaved Filtrations: Theory and Applications in Point cloud Data Analysis Frédéric Chazal, Steve Oudot

Susan Holmes

Détails de l'article Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics Christof Seiler, Xavier Pennec, Susan Holmes

Thomas Boulay

Détails de l'article High-Dimensional Range profile geometrical visualization and performance estimation of classification of radar targets via a Gaussian mixture model Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte

Thomas Burger

Détails de l'article A kernel view on manifold sub-sampling based on Karcher variance optimization Nicolas Courty, Thomas Burger

Thomas Hotz

Détails de l'article Extrinsic vs Intrinsic Means on the Circle Thomas Hotz

Vicent Caselles

Détails de l'article Adaptation of multiscale function extension to inexact matching. Application to the mapping of individuals to a learnt manifold Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles

Washington Mio

Détails de l'article Multiscale Covariance Fields, Local Scales, and Shape Transforms Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

William W. Sampson

Détails de l'article Dimensionality reduction for classification of stochastic fibre radiographs Christopher TJ Dodson, William W. Sampson

Xavier Pennec

Détails de l'article Bi-invariant means on Lie groups with Cartan-Schouten connections Xavier Pennec
Détails de l'article Parallel Transport with Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec
Détails de l'article Parallel Transport with the Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec
Détails de l'article Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics Christof Seiler, Xavier Pennec, Susan Holmes

Yann Gavet

Détails de l'article Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli

Yann Ollivier

Détails de l'article Objective Improvement in Information-Geometric Optimization Yann Ollivier

Yannick Berthoumieu

Détails de l'article K-Centroids-Based Supervised Classification of Texture Images using the SIRV modeling Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu

Yoel Shkolnisky

Détails de l'article Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging Ronen Talmon  , Yoel Shkolnisky, Ronald Coifman

Young Jin Suh

Détails de l'article Isometric Reeb Flow and Related Results on Hermitian Symmetric Spaces of Rank 2 Young Jin Suh

Zaineb Chebbi

Détails de l'article Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

Bibliographie

Image de Geometric Science of Information: First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings
Auteur:
Éditeur: Springer-Verlag Berlin and Heidelberg GmbH & Co. K (2013)
Reliure: Broché, 879 pages
lncs_8085_cover.pdf

First International Conference, GSI 2013, Paris, France, August 28-30, 2013, Proceedings
Series: Lecture Notes in Computer Science, Vol. 8085
Subseries: Image Processing, Computer Vision, Pattern Recognition, and Graphics

Nouvelles

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 deadline for submitting papers for the GSI 2013 conference has been extended to the

3rd of March 2013

 Call for Paper - Author instructions - Proceed with your submission

 

GSI’13 - GEOMETRIC SCIENCE OF INFORMATION

Ecole des Mines, Paris

28th – 30th August 2013

 

   With support of SMF (Société Mathématique de France), the objective of SEE Conference GSI’13 “GEOMETRIC SCIENCE OF INFORMATION” (www.gsi2013.org) hosted by MINES ParisTech, is to bring together pure/applied mathematicians and engineers, with common interest for Geometric tools and their applications for Information analysis, with active participation of young researchers for deliberating 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 the industry.

The Workshop will be therefore being held in areas of priority/focused themes and topics of mutual interest with a mandate for:

  • Provide an overview on the most recent state-of-the-art
  • Exchange of mathematical information/knowledge/expertise in the area
  • Identification of research areas/applications for future collaboration
  • Identification of academic & industry labs expertise for further collaboration

This conference will be an interdisciplinary event and will federate skills from Geometry, Probability and Information Theory to address the following topics among others:

  • Computational Information Geometry
  • Hessian/Symplectic Information Geometry
  • Optimization on Matrix Manifolds
  • Probability on Manifolds
  • Optimal Transport Geometry
  • Divergence Geometry & Ancillarity
  • Machine/Manifold/Topology Learning
  • Tensor-Valued Mathematical Morphology
  • Differential Geometry in Signal Processing
  • Geometry of Audio Processing
  • Geometric Inverse Problems
  • Shape Spaces: Geometry and Statistic
  • Geometry of Shape Variability
  • Relational Metric
  • Discrete Metric Spaces

Other sessions, including Poster sessions will be organized after selection of all submitted papers.                                             

Invited talks will be scheduled with 3 Keynote speakers that will be invited for plenary sessions:

·         Yann OLLIVIER (Paris-Sud Univ.): “Information-geometric optimization: The interest of information theory for discrete and continuous optimization”

·         Hirohiko SHIMA (Yamaguchi Univ.): “Geometry of Hessian Structures” dedicated to Prof. J.L. KOSZUL

·         Giovanni PISTONE (Collegio Carlo Alberto): “Nonparametric Information Geometry”

This workshop will produce two main scientific outcomes:

  • Proceedings published in Lecture Notes by Springer for the conference
  • Special Issue with accepted long papers published by Springer after the international conference.

Important Dates:

  • Deadline for 8 pages / 1 column submission:                                               18th of February 2013
  • Notification of acceptance:                                                                          15th of April 2013
  • Final paper submission:                                                                                30th of May 2013

Best regards

 

On behalf of the PC of GSI'13

http://www.gsi2013.org/

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