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ORCID3rd GSI 2017: Paris, France
- Frank Nielsen, Frédéric Barbaresco:
Geometric Science of Information - Third International Conference, GSI 2017, Paris, France, November 7-9, 2017, Proceedings. Lecture Notes in Computer Science 10589, Springer 2017, ISBN 978-3-319-68444-4
Statistics on Non-linear Data
- Line Kühnel, Stefan Sommer
:
Stochastic Development Regression Using Method of Moments. 3-11 - Benjamin Eltzner, Stephan Huckemann:
Bootstrapping Descriptors for Non-Euclidean Data. 12-19 - Xavier Pennec:
Sample-Limited L_p Barycentric Subspace Analysis on Constant Curvature Spaces. 20-28 - Maxime Louis, Alexandre Bône, Benjamin Charlier, Stanley Durrleman:
Parallel Transport in Shape Analysis: A Scalable Numerical Scheme. 29-37 - Georgios Arvanitidis, Lars Kai Hansen, Søren Hauberg:
Maximum Likelihood Estimation of Riemannian Metrics from Euclidean Data. 38-46
Shape Space
- Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding:
Shape Analysis on Lie Groups and Homogeneous Spaces. 49-56 - Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco:
Optimal Matching Between Curves in a Manifold. 57-64 - Kathrin Welker:
Optimization in the Space of Smooth Shapes. 65-72 - Pierre Roussillon, Joan Alexis Glaunès:
Surface Matching Using Normal Cycles. 73-80
Optimal Transport and Applications: Image Processing
- Elsa Cazelles, Jérémie Bigot, Nicolas Papadakis:
Regularized Barycenters in the Wasserstein Space. 83-90 - Giovanni Conforti, Michele Pavon:
Extremal Curves in Wasserstein Space. 91-99 - Bruno Galerne, Arthur Leclaire, Julien Rabin:
Semi-discrete Optimal Transport in Patch Space for Enriching Gaussian Textures. 100-108 - Yunan Yang, Björn Engquist:
Analysis of Optimal Transport Related Misfit Functions in Seismic Imaging. 109-116
Optimal Transport and Applications: Signal Processing
- Ryo Karakida, Shun-ichi Amari:
Information Geometry of Wasserstein Divergence. 119-126 - Damien Nogues:
Anomaly Detection in Network Traffic with a Relationnal Clustering Criterion. 127-134 - Martin Bauer, Sarang C. Joshi, Klas Modin:
Diffeomorphic Random Sampling Using Optimal Information Transport. 135-142 - Olivier Rioul:
Optimal Transport to Rényi Entropies. 143-150
Statistical Manifold and Hessian Information Geometry
- Masayuki Henmi:
Statistical Manifolds Admitting Torsion, Pre-contrast Functions and Estimating Functions. 153-161 - Michel Nguiffo Boyom, Mohd. Aquib, Mohammad Hasan Shahid, Mohammed Jamali:
Generalized Wintegen Type Inequality for Lagrangian Submanifolds in Holomorphic Statistical Space Forms. 162-169 - Michel Nguiffo Boyom, Ahmed Zeglaoui:
Amari Functors and Dynamics in Gauge Structures. 170-178 - Hitoshi Furuhata:
Sasakian Statistical Manifolds II. 179-185 - Sergey Grigorian, Jun Zhang:
(Para-)Holomorphic Connections for Information Geometry. 186-194 - Hideyuki Ishi:
Matrix Realization of a Homogeneous Hessian Domain. 195-202
Monotone Embedding in Information Geometry
- Jun Zhang, Jan Naudts:
Information Geometry Under Monotone Embedding. Part I: Divergence Functions. 205-214 - Jan Naudts, Jun Zhang:
Information Geometry Under Monotone Embedding. Part II: Geometry. 215-222 - Hiroshi Matsuzoe, Antonio Maria Scarfone, Tatsuaki Wada:
A Sequential Structure of Statistical Manifolds on Deformed Exponential Family. 223-230 - Luiza Helena Félix de Andrade, Rui Facundo Vigelis, Francisca Leidmar Josué Vieira, Charles Casimiro Cavalcante:
Normalization and φ-function: Definition and Consequences. 231-238 - Luigi Montrucchio, Giovanni Pistone:
Deformed Exponential Bundle: The Linear Growth Case. 239-246 - Atsumi Ohara:
On Affine Immersions of the Probability Simplex and Their Conformal Flattening. 247-254
Information Structure in Neuroscience
- Trang-Anh E. Nghiem, Olivier Marre, Alain Destexhe, Ulisse Ferrari:
Pairwise Ising Model Analysis of Human Cortical Neuron Recordings. 257-264 - Jeong-Joon Park, Ronnel Boettcher, Andrew Zhao, Alex Mun, Kevin Yuh, Vibhor Kumar, Matilde Marcolli:
Prevalence and Recoverability of Syntactic Parameters in Sparse Distributed Memories. 265-272 - Majd Hawasly, Florian T. Pokorny, Subramanian Ramamoorthy:
Multi-scale Activity Estimation with Spatial Abstractions. 273-281 - Guido Montúfar, Johannes Rauh:
Geometry of Policy Improvement. 282-290 - Chenxi Li, Zelin Shi, Yunpeng Liu, Tianci Liu:
Joint Geometric and Photometric Visual Tracking Based on Lie Group. 291-298
Geometric Robotics and Tracking
- Marion Pilté, Silvère Bonnabel, Frédéric Barbaresco:
Drone Tracking Using an Innovative UKF. 301-309 - Silvère Bonnabel, Jean-Jacques E. Slotine:
Particle Observers for Contracting Dynamical Systems. 310-317 - James Richard Forbes, David Evan Zlotnik:
Sigma Point Kalman Filtering on Matrix Lie Groups Applied to the SLAM Problem. 318-328 - Ivan Polekhin:
A Topological View on Forced Oscillations and Control of an Inverted Pendulum. 329-335 - Pascal Morin, Alexandre Eudes, Glauco Garcia Scandaroli:
Uniform Observability of Linear Time-Varying Systems and Application to Robotics Problems. 336-344 - Philippe Martin, Ioannis Sarras:
Global Exponential Attitude and Gyro Bias Estimation from Vector Measurements. 345-351
Geometric Mechanics and Robotics
- Jean Lerbet, Noël Challamel, François Nicot, Félix Darve:
Geometric Degree of Non Conservativeness. 355-358 - Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé:
A Symplectic Minimum Variational Principle for Dissipative Dynamical Systems. 359-366 - Eric Bergshoeff, Athanasios Chatzistavrakidis, Luca Romano, Jan Rosseel:
Torsional Newton-Cartan Geometry. 367-374 - Thomas Hélie, Fabrice Silva:
Self-oscillations of a Vocal Apparatus: A Port-Hamiltonian Formulation. 375-383 - Frédéric Hélein, Joël Bensoam, Pierre Carré:
Non Linear Propagation in Reissner Beams: An Integrable System? 384-392 - Elena Nicola, Maurice A. de Gosson, Fabio Nicola:
Quantum Harmonic Analysis and the Positivity of Trace Class Operators; Applications to Quantum Mechanics. 393-398
Stochastic Geometric Mechanics and Lie Group Thermodynamics
- François Gay-Balmaz, Hiroaki Yoshimura:
A Variational Formulation for Fluid Dynamics with Irreversible Processes. 401-409 - Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures in Nonequilbrium Thermodynamics. 410-417 - Bernhard Maschke, Arjan van der Schaft:
About the Definition of Port Variables for Contact Hamiltonian Systems. 418-424 - Vitaly Mikheev:
Method of Orbits of Co-Associated Representation in Thermodynamics of the Lie Non-compact Groups. 425-431 - Frédéric Barbaresco:
Poly-symplectic Model of Higher Order Souriau Lie Groups Thermodynamics for Small Data Analytics. 432-441 - Federico Becattini:
Thermodynamic Equilibrium and Relativity: Killing Vectors and Lie Derivatives. 442-447
Probability on Riemannian Manifolds
- Gaétan Marceau-Caron, Yann Ollivier:
Natural Langevin Dynamics for Neural Networks. 451-459 - Birgit Roensch, Wolfgang Stummer:
3D Insights to Some Divergences for Robust Statistics and Machine Learning. 460-469 - Marc Arnaudon, Jean-Claude Zambrini:
A Stochastic Look at Geodesics on the Sphere. 470-476 - Matthias Glock, Thomas Hotz:
Constructing Universal, Non-asymptotic Confidence Sets for Intrinsic Means on the Circle. 477-485 - Marco Frasca:
Noncommutative Geometry and Stochastic Processes. 486-494 - Florio M. Ciaglia, Fabio Di Cosmo, Giuseppe Marmo:
Hamilton-Jacobi Theory and Information Geometry. 495-502
Divergence Geometry
- Ha Quang Minh:
Log-Determinant Divergences Between Positive Definite Hilbert-Schmidt Operators. 505-513 - Wolfgang Stummer, Anna-Lena Kißlinger:
Some New Flexibilizations of Bregman Divergences and Their Asymptotics. 514-522 - Z. Krajcovicová, P. P. Pérez-Velasco, Carlos Vázquez:
Quantification of Model Risk: Data Uncertainty. 523-531 - Éric Grivel, Leo Legrand:
Process Comparison Combining Signal Power Ratio and Jeffrey's Divergence Between Unit-Power Signals. 532-540
Non-parametric Information Geometry
- John Armstrong, Damiano Brigo:
Itô Stochastic Differential Equations as 2-Jets. 543-551 - Hông Vân Lê, Jürgen Jost, Lorenz Schwachhöfer:
The Cramér-Rao Inequality on Singular Statistical Models. 552-560 - Shinto Eguchi, Katsuhiro Omae:
Information Geometry of Predictor Functions in a Regression Model. 561-568 - Giovanni Pistone:
Translations in the Exponential Orlicz Space with Gaussian Weight. 569-576 - Marina Santacroce, Paola Siri, Barbara Trivellato:
On Mixture and Exponential Connection by Open Arcs. 577-584
Optimization on Manifold
- Benjamin Eltzner, Stephan Huckemann:
Applying Backward Nested Subspace Inference to Tori and Polyspheres. 587-594 - Pierre-Yves Gousenbourger, Laurent Jacques, Pierre-Antoine Absil:
Fast Method to Fit a C1 Piecewise-Bézier Function to Manifold-Valued Data Points: How Suboptimal is the Curve Obtained on the Sphere S2 ? 595-603 - Ronny Bergmann, Daniel Tenbrinck:
Nonlocal Inpainting of Manifold-Valued Data on Finite Weighted Graphs. 604-612 - Cyrus Mostajeran, Rodolphe Sepulchre:
Affine-Invariant Orders on the Set of Positive-Definite Matrices. 613-620 - Geert Verdoolaege:
Geodesic Least Squares Regression on the Gaussian Manifold with an Application in Astrophysics. 621-628
Computational Information Geometry
- Salem Said, Yannick Berthoumieu:
Warped Metrics for Location-Scale Models. 631-638 - Frank Nielsen, Richard Nock:
Bregman Divergences from Comparative Convexity. 639-647 - Philippe Regnault, Valérie Girardin, Loïck Lhote:
Weighted Closed Form Expressions Based on Escort Distributions for Rényi Entropy Rates of Markov Chains. 648-656 - Rémy Boyer, Frank Nielsen:
On the Error Exponent of a Random Tensor with Orthonormal Factor Matrices. 657-664 - Tomonari Sei:
Coordinate-Wise Transformation and Stein-Type Densities. 665-672
Probability Density Estimation
- Paolo Zanini, Salem Said, Yannick Berthoumieu, Marco Congedo, Christian Jutten:
Riemannian Online Algorithms for Estimating Mixture Model Parameters. 675-683 - Florent Chatelain, Nicolas Le Bihan, Jonathan H. Manton:
Density Estimation for Compound Cox Processes on Hyperspheres. 684-691 - Hatem Hajri, Salem Said, Yannick Berthoumieu:
Maximum Likelihood Estimators on Manifolds. 692-700 - Florence Nicol, Stéphane Puechmorel:
Von Mises-Like Probability Density Functions on Surfaces. 701-708 - Salem Said, Nicolas Le Bihan, Jonathan H. Manton:
Riemannian Gaussian Distributions on the Space of Positive-Definite Quaternion Matrices. 709-716 - Emmanuel Chevallier:
A Family of Anisotropic Distributions on the Hyperbolic Plane. 717-724
Session Geometry of Tensor-Valued Data
- Aleksei Shestov, Mikhail Kumskov:
A Riemanian Approach to Blob Detection in Manifold-Valued Images. 727-735 - Ioana Ilea, Lionel Bombrun, Salem Said, Yannick Berthoumieu:
Co-occurrence Matrix of Covariance Matrices: A Novel Coding Model for the Classification of Texture Images. 736-744 - Reiner Lenz:
Positive Signal Spaces and the Mehler-Fock Transform. 745-753 - Simon Apers, Alain Sarlette, Francesco Ticozzi:
Bounding the Convergence Time of Local Probabilistic Evolution. 754-762 - Estelle M. Massart, Sylvain Chevallier:
Inductive Means and Sequences Applied to Online Classification of EEG. 763-770
Geodesic Methods with Constraints
- Erik J. Bekkers, Remco Duits, Alexey Mashtakov, Yuri Sachkov:
Vessel Tracking via Sub-Riemannian Geodesics on the Projective Line Bundle. 773-781 - Da Chen, Laurent D. Cohen:
Anisotropic Edge-Based Balloon Eikonal Active Contours. 782-790 - Jean-Marie Mirebeau, Johann Dréo:
Automatic Differentiation of Non-holonomic Fast Marching for Computing Most Threatening Trajectories Under Sensors Surveillance. 791-800 - Rui Facundo Vigelis, Luiza Helena Félix de Andrade, Charles Casimiro Cavalcante:
On the Existence of Paths Connecting Probability Distributions. 801-808 - Michel Nguiffo Boyom, Aliya Naaz Siddiqui, Wan Ainun Mior Othman, Mohammad Hasan Shahid:
Classification of Totally Umbilical CR-Statistical Submanifolds in Holomorphic Statistical Manifolds with Constant Holomorphic Curvature. 809-817
Applications of Distance Geometry
- Antonio Mucherino, Douglas Soares Gonçalves:
An Approach to Dynamical Distance Geometry. 821-829 - Claudia D'Ambrosio, Leo Liberti:
Distance Geometry in Linearizable Norms. 830-837 - Philippe Jacquet, Dalia Georgiana Popescu:
Self-similar Geometry for Ad-Hoc Wireless Networks: Hyperfractals. 838-846 - Radmila Pribic:
Information Distances in Stochastic Resolution Analysis. 847-855 - Frank Nielsen, Ke Sun, Stéphane Marchand-Maillet:
k-Means Clustering with Hölder Divergences. 856-863 - Imsoon Jeong, Gyu Jong Kim, Young Jin Suh:
Real Hypersurfaces in the Complex Quadric with Certain Condition of Normal Jacobi Operator. 864-871
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