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ORCID2nd GSI 2015: Palaiseau, France
- Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - Second International Conference, GSI 2015, Palaiseau, France, October 28-30, 2015, Proceedings. Lecture Notes in Computer Science 9389, Springer 2015, ISBN 978-3-319-25039-7
Dimension Reduction on Riemannian Manifolds
- Stefan Sommer
:
Evolution Equations with Anisotropic Distributions and Diffusion PCA. 3-11 - Xavier Pennec:
Barycentric Subspaces and Affine Spans in Manifolds. 12-21 - Benjamin Eltzner, Sungkyu Jung, Stephan Huckemann:
Dimension Reduction on Polyspheres with Application to Skeletal Representations. 22-29 - Ha Quang Minh:
Affine-Invariant Riemannian Distance Between Infinite-Dimensional Covariance Operators. 30-38 - Barbara Gris, Stanley Durrleman, Alain Trouvé:
A Sub-Riemannian Modular Approach for Diffeomorphic Deformations. 39-47
Optimal Transport
- Alfred Galichon, Scott Duke Kominers, Simon Weber:
The Nonlinear Bernstein-Schrödinger Equation in Economics. 51-59 - Christian Léonard:
Some Geometric Consequences of the Schrödinger Problem. 60-68 - Benoit Huyot, Yves Mabiala, Jean-François Marcotorchino:
Optimal Transport, Independance Versus Indetermination Duality, Impact on a New Copula Design. 69-76 - Yongxin Chen, Tryphon T. Georgiou, Michele Pavon:
Optimal Mass Transport over Bridges. 77-84
Optimal Transport and Applications in Imagery/Statistics
- Julien Rabin, Nicolas Papadakis:
Non-convex Relaxation of Optimal Transport for Color Transfer Between Images. 87-95 - Reiner Lenz:
Generalized Pareto Distributions, Image Statistics and Autofocusing in Automated Microscopy. 96-103 - Thibaut Le Gouic, Jean-Michel Loubes:
Barycenter in Wasserstein Spaces: Existence and Consistency. 104-108 - Alexis Decurninge:
Multivariate L-Moments Based on Transports. 109-117
Shape Space and Diffeomorphic Mappings
- Julien Lefèvre, Guillaume Auzias:
Spherical Parameterization for Genus Zero Surfaces Using Laplace-Beltrami Eigenfunctions. 121-129 - Nina Miolane, Xavier Pennec:
Biased Estimators on Quotient Spaces. 130-139 - Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco:
Reparameterization Invariant Metric on the Space of Curves. 140-149 - Lorenz Schwachhöfer, Nihat Ay, Jürgen Jost, Hông Vân Lê:
Invariant Geometric Structures on Statistical Models. 150-158 - Sylvain Arguillère:
The Abstract Setting for Shape Deformation Analysis and LDDMM Methods. 159-167
Random Geometry/Homology
- Nicolas Chenavier:
The Extremal Index for a Random Tessellation. 171-178 - F. Lavancier, Charles Kervrann:
A Two-Color Interacting Random Balls Model for Co-localization Analysis of Proteins. 179-186 - Laurent Decreusefond, Aurélien Vasseur:
Asymptotics of Superposition of Point Processes. 187-194 - Pierre Calka:
Asymptotic Properties of Random Polytopes. 195-202 - Roman V. Belavkin:
Asymmetric Topologies on Statistical Manifolds. 203-210
Hessian Information Geometry
- Harsha K. V., Subrahamanian Moosath K. S.:
Hessian Structures and Non-invariant (F, G)-Geometry on a Deformed Exponential Family. 213-221 - Rui Facundo Vigelis, David C. de Souza, Charles Casimiro Cavalcante:
New Metric and Connections in Statistical Manifolds. 222-229 - Barbara Opozda:
Curvatures of Statistical Structures. 230-239 - John Armstrong, Shun-ichi Amari:
The Pontryagin Forms of Hessian Manifolds. 240-247 - Hideyuki Ishi:
Matrix Realization of a Homogeneous Cone. 248-256 - Michel Nguiffo Boyom, Mohammed Jamali, Mohammad Hasan Shahid:
Multiply CR-Warped Product Statistical Submanifolds of a Holomorphic Statistical Space Form. 257-268
Topological Forms and Information
- Matilde Marcolli:
Information Algebras and Their Applications. 271-276 - Philippe Elbaz-Vincent, Herbert Gangl:
Finite Polylogarithms, Their Multiple Analogues and the Shannon Entropy. 277-285 - José Ignacio Burgos Gil, Patrice Philippon, Martín Sombra:
Heights of Toric Varieties, Entropy and Integration over Polytopes. 286-295 - Saïd Rahmani, Jean-Charles Pinoli, Johan Debayle:
Characterization and Estimation of the Variations of a Random Convex Set by Its Mean n-Variogram: Application to the Boolean Model. 296-308
Information Geometry Optimization
- Yann Ollivier:
Laplace's Rule of Succession in Information Geometry. 311-319 - Shun-ichi Amari, Nihat Ay:
Standard Divergence in Manifold of Dual Affine Connections. 320-325 - James Tao, Jun Zhang:
Transformations and Coupling Relations for Affine Connections. 326-339 - Christophe Saint-Jean, Frank Nielsen:
Online k-MLE for Mixture Modeling with Exponential Families. 340-348 - Luigi Malagò, Giovanni Pistone:
Second-Order Optimization over the Multivariate Gaussian Distribution. 349-358 - Garvesh Raskutti, Sayan Mukherjee:
The Information Geometry of Mirror Descent. 359-368
Information Geometry in Image Analysis
- Salem Said, Lionel Bombrun, Yannick Berthoumieu:
Texture Classification Using Rao's Distance on the Space of Covariance Matrices. 371-378 - Geert Verdoolaege, Aqsa Shabbir:
Color Texture Discrimination Using the Principal Geodesic Distance on a Multivariate Generalized Gaussian Manifold. 379-386 - Olivier Schwander, Frank Nielsen:
Bag-of-Components: An Online Algorithm for Batch Learning of Mixture Models. 387-395 - Jesús Angulo:
Statistical Gaussian Model of Image Regions in Stochastic Watershed Segmentation. 396-405 - Gianni Franchi, Jesús Angulo:
Quantization of Hyperspectral Image Manifold Using Probabilistic Distances. 406-414
Divergence Geometry
- Diaa Al Mohamad, Michel Broniatowski:
Generalized EM Algorithms for Minimum Divergence Estimation. 417-426 - Jan Naudts, Ben Anthonis:
Extension of Information Geometry to Non-statistical Systems: Some Examples. 427-434 - Imre Csiszár, Thomas Breuer:
An Information Geometry Problem in Mathematical Finance. 435-443 - Amor Keziou:
Multivariate Divergences with Application in Multisample Density Ratio Models. 444-453 - Amor Keziou, Philippe Regnault:
Generalized Mutual-Information Based Independence Tests. 454-463
Optimization on Manifold
- Nicolas Boumal:
Riemannian Trust Regions with Finite-Difference Hessian Approximations are Globally Convergent. 467-475 - Martin Kleinsteuber, Hao Shen:
Block-Jacobi Methods with Newton-Steps and Non-unitary Joint Matrix Diagonalization. 476-483 - Matthieu Genicot, Wen Huang, Nickolay T. Trendafilov:
Weakly Correlated Sparse Components with Nearly Orthonormal Loadings. 484-490 - Antoine Arnould, Pierre-Yves Gousenbourger, Chafik Samir, Pierre-Antoine Absil, Michel Canis:
Fitting Smooth Paths on Riemannian Manifolds: Endometrial Surface Reconstruction and Preoperative MRI-Based Navigation. 491-498 - Volker H. Schulz, Martin Siebenborn, Kathrin Welker:
PDE Constrained Shape Optimization as Optimization on Shape Manifolds. 499-508
Lie Groups and Geometric Mechanics/Thermodynamics
- Frédéric Boyer, Federico Renda:
Poincaré Equations for Cosserat Shells: Application to Cephalopod Locomotion. 511-518 - Géry de Saxcé:
Entropy and Structure of the Thermodynamical Systems. 519-528 - Frédéric Barbaresco:
Symplectic Structure of Information Geometry: Fisher Metric and Euler-Poincaré Equation of Souriau Lie Group Thermodynamics. 529-540 - François Dubois, Danielle Fortuné, Juan Antonio Rojas Quintero, Claude Vallée:
Pontryagin Calculus in Riemannian Geometry. 541-549 - Krzysztof A. Krakowski, Luís Machado, Fátima Silva Leite:
Rolling Symmetric Spaces. 550-557 - Eric W. Justh, P. S. Krishnaprasad:
Enlargement, Geodesics, and Collectives. 558-565
Computational Information Geometry
- Paul Marriott, Radka Sabolova, Germain Van Bever, Frank Critchley:
Geometry of Goodness-of-Fit Testing in High Dimensional Low Sample Size Modelling. 569-576 - Vahed Maroufy, Paul Marriott:
Computing Boundaries in Local Mixture Models. 577-585 - Frank Nielsen, Gaëtan Hadjeres:
Approximating Covering and Minimum Enclosing Balls in Hyperbolic Geometry. 586-594 - Emmanuel K. Kalunga, Sylvain Chevallier, Quentin Barthélemy, Karim Djouani, Yskandar Hamam, Éric Monacelli:
From Euclidean to Riemannian Means: Information Geometry for SSVEP Classification. 595-604 - Hiroto Inoue:
Group Theoretical Study on Geodesics for the Elliptical Models. 605-614 - Shinto Eguchi, Osamu Komori:
Path Connectedness on a Space of Probability Density Functions. 615-624
Lie Groups: Novel Statistical and Computational Frontiers
- Dario Prandi, Ugo V. Boscain, Jean-Paul Gauthier:
Image Processing in the Semidiscrete Group of Rototranslations. 627-634 - Thomas Hotz, Florian Kelma, Johannes Wieditz:
Universal, Non-asymptotic Confidence Sets for Circular Means. 635-642 - Bijan Afsari, Gregory S. Chirikjian:
A Methodology for Deblurring and Recovering Conformational States of Biomolecular Complexes from Single Particle Electron Microscopy. 643-653 - Santiago Velasco-Forero, Jesús Angulo:
Nonlinear Operators on Graphs via Stacks. 654-663 - Silvère Bonnabel, Axel Barrau:
An Intrinsic Cramér-Rao Bound on Lie Groups. 664-672
Geometry of Time Series and Linear Dynamical Systems
- Gautier Marti, Frank Nielsen, Philippe Very, Philippe Donnat:
Clustering Random Walk Time Series. 675-684 - Alain Sarlette:
A Common Symmetrization Framework for Iterative (Linear) Maps. 685-692 - Anna-Lena Kißlinger, Wolfgang Stummer:
New Model Search for Nonlinear Recursive Models, Regressions and Autoregressions. 693-701 - Anass Bellachehab, Jérémie Jakubowicz:
Random Pairwise Gossip on CAT(k) Metric Spaces. 702-709
Bayesian and Information Geometry for Inverse Problems
- John Armstrong, Damiano Brigo:
Stochastic PDE Projection on Manifolds: Assumed-Density and Galerkin Filters. 713-722 - Ali Mohammad-Djafari:
Variational Bayesian Approximation Method for Classification and Clustering with a Mixture of Student-t Model. 723-731 - Tomonari Sei, Ushio Tanaka:
Geometric Properties of Textile Plot. 732-739 - Monta Sakamoto, Hiroshi Matsuzoe:
A Generalization of Independence and Multivariate Student's t-distributions. 740-749
Probability Density Estimation
- Emmanuel Chevallier, Frédéric Barbaresco, Jesús Angulo:
Probability Density Estimation on the Hyperbolic Space Applied to Radar Processing. 753-761 - Emmanuel Chevallier, Ivar Farup, Jesús Angulo:
Histograms of Images Valued in the Manifold of Colours Endowed with Perceptual Metrics. 762-769 - Stéphane Puechmorel, Florence Nicol:
Entropy Minimizing Curves with Application to Automated Flight Path Design. 770-778 - Dena Marie Asta:
Kernel Density Estimation on Symmetric Spaces. 779-787
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