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)

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)

Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru
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
Target detection in non-stationary clutter background and Riemannian geometry Haiyan Fan
Visual Point Set Processing with Lattice Structures: Application to parsimonious representations of digital histopathology images Nicolas Loménie

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

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

ORAL SESSION 2 Deformations in Shape Spaces (Alain Trouvé)

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

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

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

Keynote speech 3 (Giovanni Pistone)

Dimensionality reduction for classification of stochastic fibre radiographs Christopher TJ Dodson, William W. Sampson

ORAL SESSION 4 Relational Metric (Jean-François Marcotorchino)

A general framework for comparing heterogeneous binary relations Julien Ah-Pine
Comparison of linear modularization criteria of networks using relational metric Patricia Conde Céspedes
On Prime-valent Symmetric Bicirculants and Cayley Snarks Klavdija Kutnar
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)

Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud
Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino
Tessellabilities, Reversibilities, and Decomposabilities of Polytopes Jin Akiyama

ORAL SESSION 6 Computational Information Geometry (Frank Nielsen)

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

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

Complexification of Information Geometry in view of quantum estimation theory Hiroshi Nagaoka
Fisher Information Geometry of the Barycenter of Probability Measures Mitsuhiro Itoh, Hiroyasu Satoh
Foliations on Affinely Flat Manifolds Information Geometry Robert Wolak, Michel Boyom
Hessian structures on deformed exponential families Hiroshi Matsuzoe, Masayuki Henmi
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)

A General Metric for Riemannian Hamiltonian Monte Carlo Michael Betancourt
Computational Information Geometry (CIG) in Statistics: foundations Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos
Computational information geometry in statistics: mixture modelling Paul Marriott

ORAL SESSION 9 Optimization on Matrix Manifolds (Silvere Bonnabel)

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

ORAL SESSION 10 Optimal Transport Theory (Gabriel Peyré)

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

ORAL SESSION 11 Probability on Manifolds (Marc Arnaudon)

Group Action Induced Distances On Spaces of Linear Stochastic Processes Bijan Afsari, René Vidal
Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli
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)

Estimation under L-moment condition models Michel Broniatowski, Alexis Decurninge
Generalized minimizers of convex integral functionals and Pythagorean identities Imre Csiszár, František Matúš
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)

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

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

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

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
Deconvolution for the Wasserstein metric and topological inference Bertrand Michel
Interleaved Filtrations: Theory and Applications in Point cloud Data Analysis Frédéric Chazal, Steve Oudot

ORAL SESSION 16 Hessian Information Geometry II (Frédéric Barbaresco)

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

ORAL SESSION 17 Geometry of Audio Processing (Arshia Cont)

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

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

A Probabilistic Solution to the AX=XB Problem: Sensor Calibration Without Correspondence Kendal Ackerman, Gregory Chirikjian
Stochastic Filtering by Projection - The Example of the Quadratic Sensor John Armstrong, Damiano Brigo
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)

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

ORAL SESSION 20 Information Geometry Manifolds (Hichem Snoussi)

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

ORAL SESSION 21 Algorithms on Manifolds (Olivier Swander)

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

Auteurs

Frédéric Barbaresco

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

Shun-Ichi Amari

Information Geometry and Its Applications: Survey Shun-Ichi Amari

Yann Ollivier

Objective Improvement in Information-Geometric Optimization Yann Ollivier

Christopher TJ Dodson, William W. Sampson

Dimensionality reduction for classification of stochastic fibre radiographs Christopher TJ Dodson, William W. Sampson

Giovanni Pistone

Algebraic/Infinite dimensional/Banach Information Manifolds Giovanni Pistone

Sheng YI

A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling Approach Sheng YI

Xavier Pennec

Bi-invariant means on Lie groups with Cartan-Schouten connections Xavier Pennec

Stefan Sommer

Horizontal Dimensionality Reduction and Iterated Frame Bundle Development Stefan Sommer

Marco Lorenzi, Xavier Pennec

Parallel Transport with Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec
Parallel Transport with the Pole Ladder: Application to Deformations of time Series of Images Marco Lorenzi, Xavier Pennec

James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Geodesic image regression with a sparse parameterization of diffeomorphisms James Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman

Olivier Ruatta

On geometry and deformation of shapes represented by piecewise continuous Bézier curves with application to shape optimization Olivier Ruatta

Christof Seiler, Xavier Pennec, Susan Holmes

Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics Christof Seiler, Xavier Pennec, Susan Holmes

Claire Cury

Template Estimation for Large Database : a DiffeomorphicIterative Centroid Method Using Currents Claire Cury

Michel Berthier

A Riemannian Fourier Transform via Spin Representations Michel Berthier

Aurélien Schutz, Lionel Bombrun, Yannick Berthoumieu

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

Julien Ah-Pine

A general framework for comparing heterogeneous binary relations Julien Ah-Pine

Patricia Conde Céspedes

Comparison of linear modularization criteria of networks using relational metric Patricia Conde Céspedes

Klavdija Kutnar

On Prime-valent Symmetric Bicirculants and Cayley Snarks Klavdija Kutnar

Jean-François Marcotorchino

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

Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud

Counting the number of solutions of K DMDGP instances Leo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud

Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Discretization Orders for Distance Geometry Carlile Lavor, Leo Liberti, Nelson Maculan, Antonio Mucherino

Pavel Chebotarev

Jin Akiyama

Tessellabilities, Reversibilities, and Decomposabilities of Polytopes Jin Akiyama

Christophe Saint-Jean, Frank Nielsen

A new implementation of k-MLE for mixture modelling of Wishart distributions Christophe Saint-Jean, Frank Nielsen

Frank Nielsen

Hypothesis testing, information divergence and computational geometry Frank Nielsen

Jan Naudts, Ben Anthonis

The exponential family in abstract information theory Jan Naudts, Ben Anthonis

Lakehal Belarbi, Mohamed Belkhelfa

Variational Problem in Euclidean Space With Density Lakehal Belarbi, Mohamed Belkhelfa

Hiroshi Nagaoka

Complexification of Information Geometry in view of quantum estimation theory Hiroshi Nagaoka

Mitsuhiro Itoh, Hiroyasu Satoh

Fisher Information Geometry of the Barycenter of Probability Measures Mitsuhiro Itoh, Hiroyasu Satoh

Robert Wolak, Michel Boyom

Foliations on Affinely Flat Manifolds Information Geometry Robert Wolak, Michel Boyom

Hiroshi Matsuzoe, Masayuki Henmi

Hessian structures on deformed exponential families Hiroshi Matsuzoe, Masayuki Henmi

Young Jin Suh

Isometric Reeb Flow and Related Results on Hermitian Symmetric Spaces of Rank 2 Young Jin Suh

Martin Kleinsteuber

A Geometric Framework for Non-unitary Joint Diagonalization of Complex Symmetric Matrices Martin Kleinsteuber

Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf

An extrinsic look at the Riemannian Hessian Pierre-Antoine Absil, Robert Mahony, Jochen Trumpf

Nicolas Boumal, Pierre-Antoine Absil

Discrete curve fitting on manifolds Nicolas Boumal, Pierre-Antoine Absil

Roman V. Belavkin

Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information Roman V. Belavkin

Axel Barrau, Silvère Bonnabel

Some remarks on the intrinsic Cramer-Rao bound Axel Barrau, Silvère Bonnabel

Martin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb

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

Quentin Mérigot

Ofir Pele, Ben Taskar

Thomas Hotz

Bijan Afsari, René Vidal

Group Action Induced Distances On Spaces of Linear Stochastic Processes Bijan Afsari, René Vidal

Yann Gavet, Ola Ahmad, Jean-Charles Pinoli

Integral Geometry of Linearly Combined Gaussian and Student t, and Skew t Random Fields Yann Gavet, Ola Ahmad, Jean-Charles Pinoli

Ronen Talmon  , Yoel Shkolnisky, Ronald Coifman

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

Michel Broniatowski, Alexis Decurninge

Estimation under L-moment condition models Michel Broniatowski, Alexis Decurninge

Imre Csiszár, František Matúš

Generalized minimizers of convex integral functionals and Pythagorean identities Imre Csiszár, František Matúš

Jean-François Bercher

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

Roger Balian

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

Christoph Gietl, Fabian Reffel

Continuity of f-projections on discrete spaces Christoph Gietl, Fabian Reffel

Philippe Jacquet

Rémi Léandre

The Stochastic Flow Theorem for an Operator of Order Four Rémi Léandre

Jesús Angulo, Santiago Velasco-Forero

Complete lattice structure of Poincaré upper-half plane and mathematical morphology for hyperbolic-valued images Jesús Angulo, Santiago Velasco-Forero

Jasper van de Gronde

Santiago Velasco-Forero, Jesús Angulo

Supervised morphology for structure tensor-valued images based on symmetric divergence kernels Santiago Velasco-Forero, Jesús Angulo

Malek Chari, Zaineb Chebbi, Maher Moakher, Baba Vemuri

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

Nicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles

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

Bertrand Michel

Deconvolution for the Wasserstein metric and topological inference Bertrand Michel

Frédéric Chazal, Steve Oudot

Interleaved Filtrations: Theory and Applications in Point cloud Data Analysis Frédéric Chazal, Steve Oudot

Julien Keller

Geometric Quantization of complex Monge-Ampère operator for certain diffusion flows Julien Keller

Atsumi Ohara, Shinto Eguchi

Geometry on Positive Definite Matrices Induced from V-potential functions Atsumi Ohara, Shinto Eguchi

Jun Zhang

Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions Jun Zhang

Arnaud Dessein, Arshia Cont

Online Change Detection in Exponential Families with Unknown Parameters Arnaud Dessein, Arshia Cont

Samer Abdallah, Mark Plumbley

Predictive Information in Gaussian Processes with Application to Music Analysis Samer Abdallah, Mark Plumbley

Kendal Ackerman, Gregory Chirikjian

A Probabilistic Solution to the AX=XB Problem: Sensor Calibration Without Correspondence Kendal Ackerman, Gregory Chirikjian

Simone Fiori

John Armstrong, Damiano Brigo

Stochastic Filtering by Projection - The Example of the Quadratic Sensor John Armstrong, Damiano Brigo

Ali Mohammad-Djafari

Variational Bayesian Approximation for Linear Inverse Problems with a hierarchical prior models Ali Mohammad-Djafari

Gabriel Ignacio Loaiza Ossa, Hector R. Quiceno

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

Kei Kobayashi, Henry Wynn

Asymptotically Efficient Estimators for Algebraic Statistical Manifolds Kei Kobayashi, Henry Wynn

Nigel Newton

Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures Nigel Newton

Rui F. Vigelis, Charles C. Cavalcante

The Δ2-condition and ϕ-families of probability distributions Rui F. Vigelis, Charles C. Cavalcante

Nicolas Courty, Thomas Burger

A kernel view on manifold sub-sampling based on Karcher variance optimization Nicolas Courty, Thomas Burger

Keiko Uohashi

Harmonic maps relative to α-connections on Hessian domains Keiko Uohashi

Guido Montùfar, Johannes Rauh, Nihat Ay

Maximal Information Divergence from Statistical Models defined by Neural Networks Guido Montùfar, Johannes Rauh, Nihat Ay

Diala Ezzeddine

Miklós Pálfia

Deterministic walks and quasi-subgradient methods for the Karcher mean on NPC spaces Miklós Pálfia

Ben Jeuris

Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations Ben Jeuris

Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

Multiscale Covariance Fields, Local Scales, and Shape Transforms Diego Hernan Diaz Martinez, Facundo Memoli, Washington Mio

Michael Betancourt

A General Metric for Riemannian Hamiltonian Monte Carlo Michael Betancourt

Frank Critchley, Karim Anaya-Izquierdo, Paul Marriott, Paul Vos

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

Paul Marriott

Computational information geometry in statistics: mixture modelling Paul Marriott

Laurent Gajny, Éric Nyiri, Olivier Gibaru

Fast polynomial spline approximation for large scattered data sets via L1 minimization Laurent Gajny, Éric Nyiri, Olivier Gibaru

Thomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte

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

Haiyan Fan

Target detection in non-stationary clutter background and Riemannian geometry Haiyan Fan

Nicolas Loménie

Visual Point Set Processing with Lattice Structures: Application to parsimonious representations of digital histopathology images Nicolas Loménie

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.

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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