Table of Contents

• Information Geometry and Its Applications: SurveyShun-ichi Amari. 3 [doi]
• Information-Geometric Optimization: The Interest of Information Theory for Discrete and Continuous OptimizationYann Ollivier. 4 [doi]
• Nonparametric Information GeometryGiovanni Pistone. 5-36 [doi]
• Geometry of Hessian StructuresHirohiko Shima. 37-55 [doi]
• Bi-invariant Means on Lie Groups with Cartan-Schouten ConnectionsXavier Pennec. 59-67 [doi]
• Parallel Transport with Pole Ladder: Application to Deformations of Time Series of ImagesMarco Lorenzi, Xavier Pennec. 68-75 [doi]
• Horizontal Dimensionality Reduction and Iterated Frame Bundle DevelopmentStefan Sommer. 76-83 [doi]
• A Subspace Learning of Dynamics on a Shape Manifold: A Generative Modeling ApproachSheng Yi, Hamid Krim. 84-91 [doi]
• Geodesic Image Regression with a Sparse Parameterization of DiffeomorphismsJames Fishbaugh, Marcel Prastawa, Guido Gerig, Stanley Durrleman. 95-102 [doi]
• Template Estimation for Large Database: A Diffeomorphic Iterative Centroid Method Using CurrentsClaire Cury, Joan Alexis Glaunès, Olivier Colliot. 103-111 [doi]
• On the Geometry and the Deformation of Shapes Represented by Piecewise Continuous Bézier Curves with Application to Shape OptimizationOlivier Ruatta. 112-119 [doi]
• Random Spatial Structure of Geometric Deformations and Bayesian NonparametricsChristof Seiler, Xavier Pennec, Susan Holmes. 120-127 [doi]
• A Riemannian Fourier Transform via Spin RepresentationsThomas Batard, Michel Berthier. 131-139 [doi]
• K-Centroids-Based Supervised Classification of Texture Images Using the SIRV ModelingAurelien J. Schutz, Lionel Bombrun, Yannick Berthoumieu. 140-148 [doi]
• Bayesian Atlas Estimation from High Angular Resolution Diffusion Imaging (HARDI)Jia Du, Alvina Goh, Anqi Qiu. 149-157 [doi]
• Dimensionality Reduction for Classification of Stochastic Fibre RadiographsC. T. J. Dodson, W. W. Sampson. 158-165 [doi]
• Optimal Transport and Minimal Trade Problem, Impacts on Relational Metrics and Applications to Large Graphs and Networks ModularityF. Marcotorchino, P. Conde Céspedes. 169-179 [doi]
• Comparing Different Modularization Criteria Using Relational MetricP. Conde Céspedes, J. F. Marcotorchino. 180-187 [doi]
• A General Framework for Comparing Heterogeneous Binary RelationsJulien Ah-Pine. 188-195 [doi]
• On Prime-Valent Symmetric Bicirculants and Cayley SnarksAdemir Hujdurovic, Klavdija Kutnar, Dragan Marusic. 196-203 [doi]
• Studying New Classes of Graph MetricsPavel Chebotarev. 207-214 [doi]
• Tessellabilities, Reversibilities, and Decomposabilities of Polytopes - (A Survey)Jin Akiyama, Ikuro Sato, Hyunwoo Seong. 215-223 [doi]
• Counting the Number of Solutions of KDMDGP InstancesLeo Liberti, Carlile Lavor, Jorge Alencar, Germano Abud. 224-230 [doi]
• On the Identification of Discretization Orders for Distance Geometry with IntervalsAntonio Mucherino. 231-238 [doi]
• Hypothesis Testing, Information Divergence and Computational GeometryFrank Nielsen. 241-248 [doi]
• A New Implementation of k-MLE for Mixture Modeling of Wishart DistributionsChristophe Saint-Jean, Frank Nielsen. 249-256 [doi]
• Variational Problem in Euclidean Space with DensityLakehal Belarbi, Mohamed Belkhelfa. 257-264 [doi]
• The Exponential Family in Abstract Information TheoryJan Naudts, Ben Anthonis. 265-272 [doi]
• Hessian Structures on Deformed Exponential FamiliesHiroshi Matsuzoe, Masayuki Henmi. 275-282 [doi]
• Foliations on Affinely Flat Manifolds: Information GeometryMichel Nguiffo Boyom, Robert Wolak. 283-292 [doi]
• Hypersurfaces with Isometric Reeb Flow in Hermitian Symmetric Spaces of Rank 2Young Jin Suh. 293-301 [doi]
• Generalized Minimizers of Convex Integral Functionals and Pythagorean IdentitiesImre Csiszár, Frantisek Matús. 302-307 [doi]
• Computational Information Geometry in Statistics: FoundationsKarim Anaya-Izquierdo, Frank Critchley, Paul Marriott, Paul Vos. 311-318 [doi]
• Computational Information Geometry in Statistics: Mixture ModellingKarim Anaya-Izquierdo, Frank Critchley, Paul Marriott, Paul Vos. 319-326 [doi]
• A General Metric for Riemannian Manifold Hamiltonian Monte CarloMichael Betancourt. 327-334 [doi]
• Visualizing Projective Shape SpaceJohn T. Kent. 335-342 [doi]
• Interpolation and Regression of Rotation MatricesNicolas Boumal. 345-352 [doi]
• A Geometric Framework for Non-Unitary Joint Diagonalization of Complex Symmetric MatricesMartin Kleinsteuber, Hao Shen. 353-360 [doi]
• An Extrinsic Look at the Riemannian HessianPierre-Antoine Absil, Robert E. Mahony, Jochen Trumpf. 361-368 [doi]
• Law of Cosines and Shannon-Pythagorean Theorem for Quantum InformationRoman V. Belavkin. 369-376 [doi]
• A Note on the Intrinsic Cramer-Rao BoundAxel Barrau, Silvere Bonnabel. 377-386 [doi]
• A Comparison of Two Dual Methods for Discrete Optimal TransportQuentin Mérigot. 389-396 [doi]
• The Tangent Earth Mover's DistanceOfir Pele, Ben Taskar. 397-404 [doi]
• A Geometric Study of Wasserstein Spaces: An Addendum on the BoundaryJérôme Bertrand, Benoît R. Kloeckner. 405-412 [doi]
• A Primal-Dual Approach for a Total Variation Wasserstein FlowMartin Benning, Luca Calatroni, Bertram Düring, Carola-Bibiane Schönlieb. 413-421 [doi]
• Group Action Induced Distances on Spaces of High-Dimensional Linear Stochastic ProcessesBijan Afsari, René Vidal. 425-432 [doi]
• Extrinsic vs Intrinsic Means on the CircleThomas Hotz. 433-440 [doi]
• Nonlinear Modeling and Processing Using Empirical Intrinsic Geometry with Application to Biomedical ImagingRonen Talmon, Yoel Shkolnisky, Ronald R. Coifman. 441-448 [doi]
• Integral Geometry of Linearly Combined Gaussian and Student-t, and Skew Student's t Random FieldsYann Gavet, Ola Suleiman Ahmad, Jean-Charles Pinoli. 449-456 [doi]
• Estimation and Tests Under L-Moment Condition ModelsAlexis Decurninge. 459-466 [doi]
• Weighted Sampling, Maximum Likelihood and Minimum Divergence EstimatorsMichel Broniatowski. 467-478 [doi]
• Some Decision Procedures Based on Scaled Bregman Distance SurfacesAnna-Lena Kißlinger, Wolfgang Stummer. 479-486 [doi]
• Some Results on a χ-divergence, an Extended Fisher Information and Generalized Cramér-Rao InequalitiesJean-François Bercher. 487-494 [doi]
• The Stochastic Flow Theorem for an Operator of Order FourRémi Léandre. 497-501 [doi]
• Geometry and Shannon CapacityPhilippe Jacquet. 502-512 [doi]
• A Metric for Quantum States Issued from von Neumann's EntropyRoger Balian. 513-518 [doi]
• Continuity of f-projections on Discrete SpacesChristoph Gietl, Fabian P. Reffel. 519-524 [doi]
• Frames for Tensor Field MorphologyJasper J. van de Gronde, Jos B. T. M. Roerdink. 527-534 [doi]
• Complete Lattice Structure of Poincaré Upper-Half Plane and Mathematical Morphology for Hyperbolic-Valued ImagesJesús Angulo, Santiago Velasco-Forero. 535-542 [doi]
• Supervised Morphology for Structure Tensor-Valued Images Based on Symmetric Divergence KernelsSantiago Velasco-Forero, Jesús Angulo. 543-550 [doi]
• Using the Bhattacharyya Mean for the Filtering and Clustering of Positive-Definite MatricesMalek Charfi, Zeineb Chebbi, Maher Moakher, Baba C. Vemuri. 551-558 [doi]
• Deconvolution for the Wasserstein Metric and Geometric InferenceClaire Caillerie, Frédéric Chazal, Jérôme Dedecker, Bertrand Michel. 561-568 [doi]
• On Directional-Search Procedures for Orbifolds: Connections with the Manifold FrameworkFabian Lim. 569-577 [doi]
• Adaptation of Multiscale Function Extension to Inexact Matching: Application to the Mapping of Individuals to a Learnt ManifoldNicolas Duchateau, Mathieu De Craene, Marta Sitges, Vicent Caselles. 578-586 [doi]
• Interleaved Filtrations: Theory and Applications in Point Cloud Data AnalysisFrédéric Chazal, Steve Y. Oudot. 587-592 [doi]
• Symplectic and Kähler Structures on Statistical Manifolds Induced from Divergence FunctionsJun Zhang, Fubo Li. 595-603 [doi]
• Information/Contact Geometries and Koszul EntropyFrédéric Barbaresco. 604-611 [doi]
• Geometric Quantization of Complex Monge-Ampère Operator for Certain Diffusion FlowsJulien Keller. 612-620 [doi]
• Geometry on Positive Definite Matrices Induced from V-Potential FunctionAtsumi Ohara, Shinto Eguchi. 621-629 [doi]
• Online Change Detection in Exponential Families with Unknown ParametersArnaud Dessein, Arshia Cont. 633-640 [doi]
• Differential Geometry Applied to Acoustics: Non Linear Propagation in Reissner BeamsJoel Bensoam. 641-649 [doi]
• Predictive Information in Gaussian Processes with Application to Music AnalysisSamer Abdallah, Mark D. Plumbley. 650-657 [doi]
• Characterizing Time Series Variability and Predictability from Information Geometry DynamicsShlomo Dubnov. 658-665 [doi]
• Variational Bayesian Approximation for Linear Inverse Problems with a Hierarchical Prior ModelsAli Mohammad-Djafari. 669-676 [doi]
• Learning General Gaussian Kernel Hyperparameters for SVRFahed Abdallah, Hichem Snoussi, Hicham Laanaya, Régis Lengellé. 677-684 [doi]
• Stochastic Filtering by Projection: The Example of the Quadratic SensorJohn Armstrong, Damiano Brigo. 685-692 [doi]
• A Probabilistic Solution to the AX=XB Problem: Sensor Calibration without CorrespondenceM. Kendal Ackerman, Gregory S. Chirikjian. 693-701 [doi]
• Random Clouds on Matrix Lie GroupsSimone Fiori. 702-709 [doi]
• Infinite-Dimensional Manifolds of Finite-Entropy Probability MeasuresNigel J. Newton. 713-720 [doi]
• Asymptotically Efficient Estimators for Algebraic Statistical ManifoldsKei Kobayashi, Henry P. Wynn. 721-728 [doi]
• The Δ2-Condition and ϕ-Families of Probability DistributionsRui F. Vigelis, Charles Casimiro Cavalcante. 729-736 [doi]
• A Riemannian Geometry in the q-Exponential Banach Manifold Induced by q-DivergencesG. Loaiza, H. R. Quiceno. 737-742 [doi]
• Harmonic Maps Relative to α-Connections on Hessian DomainsKeiko Uohashi. 745-750 [doi]
• A Kernel View on Manifold Sub-sampling Based on Karcher Variance OptimizationNicolas Courty, Thomas Burger. 751-758 [doi]
• Maximal Information Divergence from Statistical Models Defined by Neural NetworksGuido Montufar, Johannes Rauh, Nihat Ay. 759-766 [doi]
• Neighborhood Random ClassificationDjamel A. Zighed, Diala Ezzeddine, Fabien Rico. 767-774 [doi]
• Information Geometry and Interior-Point AlgorithmsSatoshi Kakihara, Atsumi Ohara, Takashi Tsuchiya. 777-784 [doi]
• Geometric Mean Algorithms Based on Harmonic and Arithmetic IterationsBen Jeuris, Raf Vandebril. 785-793 [doi]
• Multiscale Covariance Fields, Local Scales, and Shape TransformsDiego H. Diaz Martinez, Facundo Mémoli, Washington Mio. 794-801 [doi]
• Deterministic Walks and Quasi-Subgradient Methods for the Karcher Mean on NPC SpacesMiklós Pálfia. 802-809 [doi]
• Fast Polynomial Spline Approximation for Large Scattered Data Sets via L 1 MinimizationLaurent Gajny, Eric Nyiri, Olivier Gibaru. 813-820 [doi]
• Target Detection of Non-stationary Radar Signal and Riemannian GeometryHaiyan Fan, Yongmei Jiang, Gangyao Kuang. 821-828 [doi]
• High-Dimensional Range Profile Geometrical Visualization and Performance Estimation of Radar Target Classification via a Gaussian Mixture ModelThomas Boulay, Ali Mohammad-Djafari, Nicolas Gac, Julien Lagoutte. 829-836 [doi]
• Visual Point Set Processing with Lattice Structures: Application to Parsimonious Representations of Digital Histopathology ImagesNicolas Loménie. 837-844 [doi]
• Activity Video Analysis via Operator-Based Local EmbeddingXiao Bian, Hamid Krim. 845-852 [doi]
• Multivariate Texture Discrimination Based on Geodesics to Class Centroids on a Generalized Gaussian ManifoldA. Shabbir, Geert Verdoolaege, Guido Van Oost. 853-860 [doi]
• Robust Estimation of Natural Gradient in Optimization by Regularized Linear RegressionLuigi Malagò, Matteo Matteucci. 861-867 [doi]
• To the Homogeneous Symplectic Manifold toward the Geometry of informationF. Mouna, T. B. Bouetou, M. B. Nguiffo. 868-876 [doi]