Geometric Science of Information
Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings
Table of contentsEvolution Equations with Anisotropic Distributions and Diffusion PCA Pages 3-11 Sommer, Stefan
Barycentric Subspaces and Affine Spans in Manifolds Pages 12-21 Pennec, Xavier
Dimension Reduction on Polyspheres with Application to Skeletal Representations Pages 22-29 Eltzner, Benjamin (et al.)
Affine-Invariant Riemannian Distance Between Infinite-Dimensional Covariance Operators Pages 30-38 Minh, Hà Quang
A Sub-Riemannian Modular Approach for Diffeomorphic Deformations Pages 39-47 Gris, Barbara (et al.)
The Nonlinear Bernstein-Schrödinger Equation in Economics Pages 51-59 Galichon, Alfred (et al.)
Some Geometric Consequences of the Schrödinger Problem Pages 60-68 Léonard, Christian
Optimal Transport, Independance Versus Indetermination Duality, Impact on a New Copula Design Pages 69-76 Huyot, Benoit (et al.)
Optimal Mass Transport over Bridges Pages 77-84 Chen, Yongxin (et al.)
Non-convex Relaxation of Optimal Transport for Color Transfer Between Images Pages 87-95 Rabin, Julien (et al.)
Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy Pages 96-103 Lenz, Reiner
Barycenter in Wasserstein Spaces: Existence and Consistency Pages 104-108 Le Gouic, Thibaut (et al.)
Multivariate L-Moments Based on Transports Pages 109-117 Decurninge, Alexis
Spherical Parameterization for Genus Zero Surfaces Using Laplace-Beltrami Eigenfunctions Pages 121-129 Lefèvre, Julien (et al.)
Biased Estimators on Quotient Spaces Pages 130-139 Miolane, Nina (et al.)
Reparameterization Invariant Metric on the Space of Curves Pages 140-149 Brigant, Alice (et al.)
Invariant Geometric Structures on Statistical Models Pages 150-158 Schwachhöfer, Lorenz (et al.)
The Abstract Setting for Shape Deformation Analysis and LDDMM Methods Pages 159-167 Arguillère, Sylvain
The Extremal Index for a Random Tessellation Pages 171-178 Chenavier, Nicolas
A Two-Color Interacting Random Balls Model for Co-localization Analysis of Proteins Pages 179-186 Lavancier, F. (et al.)
Asymptotics of Superposition of Point Processes Pages 187-194 Decreusefond, L. (et al.)
Asymptotic Properties of Random Polytopes Pages 195-202 Calka, Pierre
Asymmetric Topologies on Statistical Manifolds Pages 203-210 Belavkin, Roman V.
Hessian Structures and Non-invariant (F, G)-Geometry on a Deformed Exponential Family Pages 213-221 Harsha, K. V. (et al.)
New Metric and Connections in Statistical Manifolds Pages 222-229 Vigelis, Rui F. (et al.)
Curvatures of Statistical Structures Pages 230-239 Opozda, Barbara
The Pontryagin Forms of Hessian Manifolds Pages 240-247 Armstrong, J. (et al.)
Matrix Realization of a Homogeneous Cone Pages 248-256 Ishi, Hideyuki
Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Statistical Space Form Pages 257-268 Boyom, Michel Nguiffo (et al.)
Information Algebras and Their Applications Pages 271-276 Marcolli, Matilde
Finite Polylogarithms, Their Multiple Analogues and the Shannon Entropy Pages 277-285 Elbaz-Vincent, Philippe (et al.)
Heights of Toric Varieties, Entropy and Integration over Polytopes Pages 286-295 Burgos Gil, José Ignacio (et al.)
Characterization and Estimation of the Variations of a Random Convex Set by Its Mean n-Variogram: Application to the Boolean Model Pages 296-308 Rahmani, Saïd (et al.)
Laplace’s Rule of Succession in Information Geometry Pages 311-319 Ollivier, Yann
Standard Divergence in Manifold of Dual Affine Connections Pages 320-325 Amari, Shun-ichi (et al.)
Transformations and Coupling Relations for Affine Connections Pages 326-339 Tao, James (et al.)
Online k-MLE for Mixture Modeling with Exponential Families Pages 340-348 Saint-Jean, Christophe (et al.)
Second-Order Optimization over the Multivariate Gaussian Distribution Pages 349-358 Malagò, Luigi (et al.)
The Information Geometry of Mirror Descent Pages 359-368 Raskutti, Garvesh (et al.)
Texture Classification Using Rao’s Distance on the Space of Covariance Matrices Pages 371-378 Said, Salem (et al.)
Color Texture Discrimination Using the Principal Geodesic Distance on a Multivariate Generalized Gaussian Manifold Pages 379-386 Verdoolaege, Geert (et al.)
Bag-of-Components: An Online Algorithm for Batch Learning of Mixture Models Pages 387-395 Schwander, Olivier (et al.)
Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation Pages 396-405 Angulo, Jesús
Quantization of Hyperspectral Image Manifold Using Probabilistic Distances Pages 406-414 Franchi, Gianni (et al.)
Generalized EM Algorithms for Minimum Divergence Estimation Pages 417-426 Al Mohamad, Diaa (et al.)
Extension of Information Geometry to Non-statistical Systems: Some Examples Pages 427-434 Naudts, Jan (et al.)
An Information Geometry Problem in Mathematical Finance Pages 435-443 Csiszár, Imre (et al.)
Multivariate Divergences with Application in Multisample Density Ratio Models Pages 444-453 Keziou, Amor
Generalized Mutual-Information Based Independence Tests Pages 454-463 Keziou, Amor (et al.)
Riemannian Trust Regions with Finite-Difference Hessian Approximations are Globally Convergent Pages 467-475 Boumal, Nicolas
Block-Jacobi Methods with Newton-Steps and Non-unitary Joint Matrix Diagonalization Pages 476-483 Kleinsteuber, Martin (et al.)
Weakly Correlated Sparse Components with Nearly Orthonormal Loadings Pages 484-490 Genicot, Matthieu (et al.)
Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation Pages 491-498 Arnould, Antoine (et al.)
PDE Constrained Shape Optimization as Optimization on Shape Manifolds Pages 499-508 Schulz, Volker H. (et al.)
Poincaré Equations for Cosserat Shells: Application to Cephalopod Locomotion Pages 511-518 Boyer, Frederic (et al.)
Entropy and Structure of the Thermodynamical Systems Pages 519-528 Saxcé, Géry
Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics Pages 529-540 Barbaresco, Frédéric
Pontryagin Calculus in Riemannian Geometry Pages 541-549 Dubois, François (et al.)
Rolling Symmetric Spaces Pages 550-557 Krakowski, Krzysztof A. (et al.)
Enlargement, Geodesics, and Collectives Pages 558-565 Justh, Eric W. (et al.)
Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling Pages 569-576 Marriott, Paul (et al.)
Computing Boundaries in Local Mixture Models Pages 577-585 Maroufy, Vahed (et al.)
Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry Pages 586-594 Nielsen, Frank (et al.)
From Euclidean to Riemannian Means: Information Geometry for SSVEP Classification Pages 595-604 Kalunga, Emmanuel K. (et al.)
Group Theoretical Study on Geodesics for the Elliptical Models Pages 605-614 Inoue, Hiroto
Path Connectedness on a Space of Probability Density Functions Pages 615-624 Eguchi, Shinto (et al.)
Image Processing in the Semidiscrete Group of Rototranslations Pages 627-634 Prandi, Dario (et al.)
Universal, Non-asymptotic Confidence Sets for Circular Means Pages 635-642 Hotz, Thomas (et al.)
A Methodology for Deblurring and Recovering Conformational States of Biomolecular Complexes from Single Particle Electron Microscopy Pages 643-653 Afsari, Bijan (et al.)
Nonlinear Operators on Graphs via Stacks Pages 654-663 Velasco-Forero, Santiago (et al.)
An Intrinsic Cramér-Rao Bound on Lie Groups Pages 664-672 Bonnabel, Silvère (et al.)
Clustering Random Walk Time Series Pages 675-684 Marti, Gautier (et al.)
A Common Symmetrization Framework for Iterative (Linear) Maps Pages 685-692 Sarlette, Alain
New Model Search for Nonlinear Recursive Models, Regressions and Autoregressions Pages 693-701 Kißlinger, Anna-Lena (et al.)
Random Pairwise Gossip on CAT(?) Metric Spaces Pages 702-709 Bellachehab, Anass (et al.)
Stochastic PDE Projection on Manifolds: Assumed-Density and Galerkin Filters Pages 713-722 Armstrong, John (et al.)
Variational Bayesian Approximation Method for Classification and Clustering with a Mixture of Student-t Model Pages 723-731 Mohammad-Djafari, Ali
Geometric Properties of Textile Plot Pages 732-739 Sei, Tomonari (et al.)
A Generalization of Independence and Multivariate Student’s t-distributions Pages 740-749 Sakamoto, Monta (et al.)
Probability Density Estimation on the Hyperbolic Space Applied to Radar Processing Pages 753-761 Chevallier, Emmanuel (et al.)
Histograms of Images Valued in the Manifold of Colours Endowed with Perceptual Metrics Pages 762-769 Chevallier, Emmanuel (et al.)
Entropy Minimizing Curves with Application to Automated Flight Path Design Pages 770-778 Puechmorel, Stephane (et al.)
Kernel Density Estimation on Symmetric Spaces Pages 779-787 Asta, Dena Marie
Lecture Notes in Computer Science - Volume 9389
Springer. Paperback, english, 790 pages