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1st GSI 2013: Paris, France
- Frank Nielsen
, Frédéric Barbaresco:
Geometric Science of Information - First International Conference, GSI 2013, Paris, France, August 28-30, 2013. Proceedings. Lecture Notes in Computer Science 8085, Springer 2013, ISBN 978-3-642-40019-3
Invited Keynote papers
- Shun-ichi Amari:
Information Geometry and Its Applications: Survey. 3 - Yann Ollivier:
Information-Geometric Optimization: The Interest of Information Theory for Discrete and Continuous Optimization. 4 - Giovanni Pistone:
Nonparametric Information Geometry. 5-36 - Hirohiko Shima:
Geometry of Hessian Structures. 37-55
Geometric Statistics on Manifolds and Lie Groups
- Xavier Pennec
Bi-invariant Means on Lie Groups with Cartan-Schouten Connections. 59-67 - Marco Lorenzi, Xavier Pennec
Parallel Transport with Pole Ladder: Application to Deformations of Time Series of Images. 68-75 - Stefan Sommer
Horizontal Dimensionality Reduction and Iterated Frame Bundle Development. 76-83 - Sheng Yi, Hamid Krim:
A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling Approach. 84-91
Deformations in Shape Spaces
- James Fishbaugh, Marcel Prastawa
Geodesic Image Regression with a Sparse Parameterization of Diffeomorphisms. 95-102 - Claire Cury
Template Estimation for Large Database: A Diffeomorphic Iterative Centroid Method Using Currents. 103-111 - Olivier Ruatta:
On the Geometry and the Deformation of Shapes Represented by Piecewise Continuous Bézier Curves with Application to Shape Optimization. 112-119 - Christof Seiler
Random Spatial Structure of Geometric Deformations and Bayesian Nonparametrics. 120-127
Differential Geometry in Signal Processing
- Thomas Batard
A Riemannian Fourier Transform via Spin Representations. 131-139 - Aurelien J. Schutz, Lionel Bombrun
K-Centroids-Based Supervised Classification of Texture Images Using the SIRV Modeling. 140-148 - Jia Du, Alvina Goh, Anqi Qiu
Bayesian Atlas Estimation from High Angular Resolution Diffusion Imaging (HARDI). 149-157 - C. T. J. Dodson, W. W. Sampson:
Dimensionality Reduction for Classification of Stochastic Fibre Radiographs. 158-165
Relational Metric
- François Marcotorchino, Patricia Conde Céspedes:
Optimal Transport and Minimal Trade Problem, Impacts on Relational Metrics and Applications to Large Graphs and Networks Modularity. 169-179 - Patricia Conde Céspedes, Jean-François Marcotorchino:
Comparing Different Modularization Criteria Using Relational Metric. 180-187 - Julien Ah-Pine
A General Framework for Comparing Heterogeneous Binary Relations. 188-195 - Ademir Hujdurovic
On Prime-Valent Symmetric Bicirculants and Cayley Snarks. 196-203
Discrete Metric Spaces
- Pavel Chebotarev
Studying New Classes of Graph Metrics. 207-214 - Jin Akiyama, Ikuro Sato, Hyunwoo Seong:
Tessellabilities, Reversibilities, and Decomposabilities of Polytopes - (A Survey). 215-223 - Leo Liberti, Carlile Lavor
Counting the Number of Solutions of KDMDGP Instances. 224-230 - Antonio Mucherino
On the Identification of Discretization Orders for Distance Geometry with Intervals. 231-238
Computational Information Geometry
- Frank Nielsen
Hypothesis Testing, Information Divergence and Computational Geometry. 241-248 - Christophe Saint-Jean
A New Implementation of k-MLE for Mixture Modeling of Wishart Distributions. 249-256 - Lakehal Belarbi
Variational Problem in Euclidean Space with Density. 257-264 - Jan Naudts
The Exponential Family in Abstract Information Theory. 265-272
Hessian Information Geometry I
- Hiroshi Matsuzoe, Masayuki Henmi:
Hessian Structures on Deformed Exponential Families. 275-282 - Michel Nguiffo Boyom, Robert Wolak:
Foliations on Affinely Flat Manifolds: Information Geometry. 283-292 - Young Jin Suh:
Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2. 293-301 - Imre Csiszár, Frantisek Matús:
Generalized Minimizers of Convex Integral Functionals and Pythagorean Identities. 302-307
Computational Aspects of Information Geometry in Statistics
- Karim Anaya-Izquierdo
Computational Information Geometry in Statistics: Foundations. 311-318 - Karim Anaya-Izquierdo
Computational Information Geometry in Statistics: Mixture Modelling. 319-326 - Michael Betancourt:
A General Metric for Riemannian Manifold Hamiltonian Monte Carlo. 327-334 - John T. Kent:
Visualizing Projective Shape Space. 335-342
Optimization on Matrix Manifolds
- Nicolas Boumal:
Interpolation and Regression of Rotation Matrices. 345-352 - Martin Kleinsteuber, Hao Shen:
A Geometric Framework for Non-Unitary Joint Diagonalization of Complex Symmetric Matrices. 353-360 - Pierre-Antoine Absil, Robert E. Mahony
An Extrinsic Look at the Riemannian Hessian. 361-368 - Roman V. Belavkin
Law of Cosines and Shannon-Pythagorean Theorem for Quantum Information. 369-376 - Axel Barrau, Silvère Bonnabel:
A Note on the Intrinsic Cramer-Rao Bound. 377-386
Optimal Transport Theory
- Quentin Mérigot:
A Comparison of Two Dual Methods for Discrete Optimal Transport. 389-396 - Ofir Pele, Ben Taskar:
The Tangent Earth Mover's Distance. 397-404 - Jérôme Bertrand, Benoît R. Kloeckner
A Geometric Study of Wasserstein Spaces: An Addendum on the Boundary. 405-412 - Martin Benning
A Primal-Dual Approach for a Total Variation Wasserstein Flow. 413-421
Probability on Manifolds
- Bijan Afsari, René Vidal:
Group Action Induced Distances on Spaces of High-Dimensional Linear Stochastic Processes. 425-432 - Thomas Hotz:
Extrinsic vs Intrinsic Means on the Circle. 433-440 - Ronen Talmon, Yoel Shkolnisky, Ronald R. Coifman:
Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical Imaging. 441-448 - Yann Gavet
Integral Geometry of Linearly Combined Gaussian and Student-t, and Skew Student's t Random Fields. 449-456
Divergence Geometry and Ancillarity
- Alexis Decurninge:
Estimation and Tests Under L-Moment Condition Models. 459-466 - Michel Broniatowski:
Weighted Sampling, Maximum Likelihood and Minimum Divergence Estimators. 467-478 - Anna-Lena Kißlinger, Wolfgang Stummer:
Some Decision Procedures Based on Scaled Bregman Distance Surfaces. 479-486 - Jean-François Bercher
Some Results on a χ-divergence, an Extended Fisher Information and Generalized Cramér-Rao Inequalities. 487-494
Entropic Geometry
- Rémi Léandre:
The Stochastic Flow Theorem for an Operator of Order Four. 497-501 - Philippe Jacquet:
Geometry and Shannon Capacity. 502-512 - Roger Balian:
A Metric for Quantum States Issued from von Neumann's Entropy. 513-518 - Christoph Gietl, Fabian P. Reffel:
Continuity of f-projections on Discrete Spaces. 519-524
Tensor-Valued Mathematical Morphology
- Jasper J. van de Gronde, Jos B. T. M. Roerdink:
Frames for Tensor Field Morphology. 527-534 - Jesús Angulo, Santiago Velasco-Forero:
Complete Lattice Structure of Poincaré Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued Images. 535-542 - Santiago Velasco-Forero, Jesús Angulo:
Supervised Morphology for Structure Tensor-Valued Images Based on Symmetric Divergence Kernels. 543-550 - Malek Charfi, Zeineb Chebbi, Maher Moakher
Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite Matrices. 551-558
Machine/Manifold/Topology Learning
- Claire Caillerie, Frédéric Chazal, Jérôme Dedecker, Bertrand Michel
Deconvolution for the Wasserstein Metric and Geometric Inference. 561-568 - Fabian Lim:
On Directional-Search Procedures for Orbifolds: Connections with the Manifold Framework. 569-577 - 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. 578-586 - Frédéric Chazal, Steve Y. Oudot
Interleaved Filtrations: Theory and Applications in Point Cloud Data Analysis. 587-592
Hessian Information Geometry II
- Jun Zhang, Fubo Li:
Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence Functions. 595-603 - Frédéric Barbaresco:
Information/Contact Geometries and Koszul Entropy. 604-611 - Julien Keller:
Geometric Quantization of Complex Monge-Ampère Operator for Certain Diffusion Flows. 612-620 - Atsumi Ohara, Shinto Eguchi
Geometry on Positive Definite Matrices Induced from V-Potential Function. 621-629
Geometry of Audio Processing
- Arnaud Dessein, Arshia Cont:
Online Change Detection in Exponential Families with Unknown Parameters. 633-640 - Joël Bensoam
Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner Beams. 641-649 - Samer A. Abdallah, Mark D. Plumbley
Predictive Information in Gaussian Processes with Application to Music Analysis. 650-657 - Shlomo Dubnov
Characterizing Time Series Variability and Predictability from Information Geometry Dynamics. 658-665
Geometry of Inverse Problems
- Ali Mohammad-Djafari
Variational Bayesian Approximation for Linear Inverse Problems with a Hierarchical Prior Models. 669-676 - Fahed Abdallah, Hichem Snoussi, Hicham Laanaya, Régis Lengellé:
Learning General Gaussian Kernel Hyperparameters for SVR. 677-684 - John Armstrong
Stochastic Filtering by Projection: The Example of the Quadratic Sensor. 685-692 - Martin Kendal Ackerman, Gregory S. Chirikjian:
A Probabilistic Solution to the AX=XB Problem: Sensor Calibration without Correspondence. 693-701 - Simone G. O. Fiori
Random Clouds on Matrix Lie Groups. 702-709
Algebraic/Infinite Dimensionnal/Banach Information Manifolds
- Nigel J. Newton
Infinite-Dimensional Manifolds of Finite-Entropy Probability Measures. 713-720 - Kei Kobayashi, Henry P. Wynn
Asymptotically Efficient Estimators for Algebraic Statistical Manifolds. 721-728 - Rui Facundo Vigelis, Charles Casimiro Cavalcante
The Δ2-Condition and ϕ-Families of Probability Distributions. 729-736 - G. Loaiza, H. R. Quiceno:
A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-Divergences. 737-742
Information Geometry Manifolds
- Keiko Uohashi:
Harmonic Maps Relative to α-Connections on Hessian Domains. 745-750 - Nicolas Courty, Thomas Burger
A Kernel View on Manifold Sub-sampling Based on Karcher Variance Optimization. 751-758 - Guido Montúfar
Maximal Information Divergence from Statistical Models Defined by Neural Networks. 759-766 - Djamel A. Zighed, Diala Ezzeddine, Fabien Rico:
Neighborhood Random Classification. 767-774
Algorithms on Manifolds
- Satoshi Kakihara, Atsumi Ohara, Takashi Tsuchiya:
Information Geometry and Interior-Point Algorithms. 777-784 - Ben Jeuris, Raf Vandebril
Geometric Mean Algorithms Based on Harmonic and Arithmetic Iterations. 785-793 - Diego H. Diaz Martinez, Facundo Mémoli, Washington Mio:
Multiscale Covariance Fields, Local Scales, and Shape Transforms. 794-801 - Miklós Pálfia
Deterministic Walks and Quasi-Subgradient Methods for the Karcher Mean on NPC Spaces. 802-809
Papers Presented at the Poster Session
- Laurent Gajny
Fast Polynomial Spline Approximation for Large Scattered Data Sets via L 1 Minimization. 813-820 - Haiyan Fan, Yongmei Jiang, Gangyao Kuang:
Target Detection of Non-stationary Radar Signal and Riemannian Geometry. 821-828 - Thomas Boulay, Ali Mohammad-Djafari
High-Dimensional Range Profile Geometrical Visualization and Performance Estimation of Radar Target Classification via a Gaussian Mixture Model. 829-836 - Nicolas Loménie
Visual Point Set Processing with Lattice Structures: Application to Parsimonious Representations of Digital Histopathology Images. 837-844 - Xiao Bian, Hamid Krim:
Activity Video Analysis via Operator-Based Local Embedding. 845-852 - Aqsa Shabbir
Multivariate Texture Discrimination Based on Geodesics to Class Centroids on a Generalized Gaussian Manifold. 853-860 - Luigi Malagò, Matteo Matteucci:
Robust Estimation of Natural Gradient in Optimization by Regularized Linear Regression. 861-867 - F. Mouna, T. B. Bouetou, M. B. Nguiffo:
To the Homogeneous Symplectic Manifold toward the Geometry of information. 868-876
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