Program sessions


GSI’15 Program

Invited Speaker (chaired by F. Barbaresco)

  • C.M. Marle (UPMC) - Actions of Lie groups and Lie algebras on symplectic and Poisson manifolds

Keynote Speakers

  • M. Arnaudon (Bordeaux Univ.) - Stocastic Euler-Poincaré reduction (chaired by F. Nielsen)
  • T. Ratiu (EPFL) - FSymetry methods in geometric mechanics (Chaired by X. Pennec)
  • M. Marcolli (Caltech) - From Geometry and Physics to Computational Linguistics (Chaired by D. Bennequin)

Short Course chaired by R. Balian (CEA)

  • D. Spehner (Grenoble Univ.) - Geometry on the set of quantum states and quantum correlations

 

GSI’15 Sessions


o   Session “Dimension reduction on Riemannian manifolds(X. Pennec/A. Trouvé): 63, 58, 35, 64, 82

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

o   Sessions “Optimal Transport”: (J.F. Marcotorchino/A. Galichon) : 3, 36, 25, 38

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

o   Sessions “Optimal Transport and applications in Imagery/Statistics ” (J. Bigot/B. Maury) : 2, 22, 72, 28

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

o   Session Shape Space & Diffeomorphic mappings (S. Durrleman/S. Allasonnière): 74, 84, 65, 68, 20, 83

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

o   Session “Random Geometry/Homology” (L. Decreusefond/F. Chazal): 5, 14, 67,79, 92

  • -        5 Nicolas Chenavier. The extremal index for a random tessellation
  • -        14 Lavancier Frederic and Charles Kervrann. A two-color interacting random balls model for co-localization analysis of proteins.
  • -        67 Laurent Decreusefond and Aurélien Vasseur. Asymptotics of superposition of point processes
  • -        79 Pierre Calka. Asymptotic properties of random polytopes
  • -        92 Roman Belavkin. Asymmetric Topologies on Statistical Manifolds

o   Session “Hessian Information Geometry” (M. Boyom/S. Amari): 8, 32, 10, 26, 62, 59

  • -        8 Harsha K V and Subrahamanian K S Moosath. Hessian Structures and (F, G)-geometry on a Deformed Exponential Family
  • -        32 Rui Vigelis, David de Souza and Charles Cavalcante. New metric and connections in statistical manifolds
  • -        10 Barbara Opozda. Curvatures of Statistical Structures
  • -        26 John Armstrong and Shun-Ichi Amari. The Pontryagin Forms of Hessian Manifolds
  • -        62 Hideyuki Ishi. Matrix realization of a homogeneous cone
  • -        59 Nguiffo Boyom Michel, Jamali Mohammed and Shahid Hasan. Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Stastistical Space Form

o   Session “Topological forms and Information” (D. Bennequin/P. Baudot): 27, 52, 57, 37

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

o   Session “Information Geometry Optimization” (G. Pistone/Y. Ollivier): 71, 6, 43, 51, 56, 81

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

o   Session “Information Geometry in Image Analysis” (G. Verddolaege/Y. Berthoumieu): 13, 50, 55, 76, 17

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

o   Session “Divergence Geometry” (M. Broniatowski/I. Csiszar): 90, 89, 88, 53, 34

  • -        90 Michel Broniatowski and Diaa Al Mohamad. Generalized EM algorithms for minimum divergence estimation
  • -        89 Jan Naudts, Ben Anthonis and Michel Broniatowski. Extension of information geometry to non-statistical systems: some examples
  • -        88 I. Csiszar, T. Breuer and Michel Broniatowski. An Information Geometry Problem in Mathematical Finance
  • -        53 Amor Keziou. Multivariate divergences with application in multisample density ratio models
  • -        34 Philippe Regnault and Amor Keziou. Generalized Mutual-Information based independence tests

o   Session “Optimization on Manifold” (P.A. Absil/R. Sepulchre): 18, 24, 46, 45, 21

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

o   Session “Lie Groups and Geometric Mechanics/Thermodynamics” (F. Barbaresco/G. de Saxcé): 4, 11, 39, 44, 47, 70

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

o   Session “Computational Information Geometry“ (F. Nielsen, P. Marriot): 9, 12, 40, 49, 94, 33

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

o   Session “Lie Groups: Novel Statistical and Computational Frontiers” (J. Jakubowicz/B. Afsari): 66, 75, 85, 77, 69

  • -        66 Dario Prandi, Ugo Boscain and Jean-Paul Gauthier. Image processing in the semidiscrete group of rototranslations
  • -        75 Thomas Hotz, Florian Kelma and Johannes Wieditz. Universal, non-asymptotic confidence sets for circular means
  • -        85 Bijan Afsari and Gregory S. Chirikjian. Deblurring and Recovering Conformational States in 3D Single Particle Electron Microscopy of Large Macromolecules
  • -        77 Santiago Velasco-Forero and Jesus Angulo. Nonlinear operators on graphs via stacks
  • -        69 Axel Barrau and Silvere Bonnabel. An intrinsic Cramér-Rao bound on Lie groups

o   Session “Geometry of Time Series and Linear Dynamical systems” (B. Afsari/A. Cont): 31, 54, 91, 41

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

o   Session “Bayesian and Information Geometry for Inverse Problems” (A. Djafari/O. Schwander): 7, 93, 30, 61

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

o   Session “Probability Density Estimation” (S. Said/J. Angulo): 16, 19, 78, 87

  • -        16 Emmanuel Chevallier, Jesus Angulo and Frédéric Barbaresco. Probability density estimation on the hyperbolic space applied to radar processing
  • -        19 Emmanuel Chevallier, Jesus Angulo and Ivar Farup. Histograms of images valued in the manifold of colours endowed with perceptual metrics
  • -        78 Stephane Puechmorel and Florence Nicol. Entropy minimizing curves with application to automated flight path design
  • -        87 Dena Asta. Kernel Density Estimation on Symmetric Spaces
Groups: