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ORCID5th GSI 2021: Paris, France
- Frank Nielsen
, Frédéric Barbaresco:
Geometric Science of Information - 5th International Conference, GSI 2021, Paris, France, July 21-23, 2021, Proceedings. Lecture Notes in Computer Science 12829, Springer 2021, ISBN 978-3-030-80208-0
Probability and Statistics on Riemannian Manifolds
- Salem Said, Nicolas Le Bihan, Jonathan H. Manton:
From Bayesian Inference to MCMC and Convex Optimisation in Hadamard Manifolds. 3-11 - Benjamin Eltzner, Shayan Hundrieser, Stephan Huckemann:
Finite Sample Smeariness on Spheres. 12-19 - Simon Heuveline, Salem Said, Cyrus Mostajeran:
Gaussian Distributions on Riemannian Symmetric Spaces in the Large N Limit. 20-28 - Do Tran, Benjamin Eltzner, Stephan Huckemann:
Smeariness Begets Finite Sample Smeariness. 29-36 - Quinten Tupker, Salem Said, Cyrus Mostajeran:
Online Learning of Riemannian Hidden Markov Models in Homogeneous Hadamard Spaces. 37-44
Sub-Riemannian Geometry and Neuromathematics
- Giovanna Citti, Gianmarco Giovannardi, Manuel Ritoré, Alessandro Sarti:
Submanifolds of Fixed Degree in Graded Manifolds for Perceptual Completion. 47-55 - Rand Asswad, Ugo V. Boscain, Giuseppina Turco, Dario Prandi, Ludovic Sacchelli:
An Auditory Cortex Model for Sound Processing. 56-64 - Dmitri Alekseevsky:
Conformal Model of Hypercolumns in V1 Cortex and the Möbius Group. Application to the Visual Stability Problem. 65-72 - Alexey Mashtakov:
Extremal Controls for the Duits Car. 73-81 - Rosa Kowalewski, Barbara Gris:
Multi-shape Registration with Constrained Deformations. 82-90
Shapes Spaces
- Yann Thanwerdas, Xavier Pennec:
Geodesics and Curvature of the Quotient-Affine Metrics on Full-Rank Correlation Matrices. 93-102 - Nicolas Guigui, Elodie Maignant, Alain Trouvé, Xavier Pennec:
Parallel Transport on Kendall Shape Spaces. 103-110 - Pernille E. H. Hansen, Benjamin Eltzner, Stefan Sommer:
Diffusion Means and Heat Kernel on Manifolds. 111-118 - Nicolas Guigui, Xavier Pennec:
A Reduced Parallel Transport Equation on Lie Groups with a Left-Invariant Metric. 119-126 - Pernille E. H. Hansen, Rasmus Waagepetersen, Anne Marie Svane, Jon Sporring, Hans J. T. Stephensen, Stine Hasselholt, Stefan Sommer:
Currents and K-functions for Fiber Point Processes. 127-134
Geometry of Quantum States
- Christophe Corbier:
Q-Information Geometry of Systems. 137-144 - Florio Maria Ciaglia, Fabio Di Nocera:
Group Actions and Monotone Metric Tensors: The Qubit Case. 145-153 - Hà Quang Minh:
Quantum Jensen-Shannon Divergences Between Infinite-Dimensional Positive Definite Operators. 154-162 - Davide Rattacaso, Patrizia Vitale, Alioscia Hamma:
Towards a Geometrization of Quantum Complexity and Chaos. 163-171 - Michel Berthier, Edoardo Provenzi:
Hunt's Colorimetric Effect from a Quantum Measurement Viewpoint. 172-180
Geometric and Structure Preserving Discretizations
- Manuel de León, Manuel Lainz, Miguel C. Muñoz-Lecanda:
The Herglotz Principle and Vakonomic Dynamics. 183-190 - Ghislain Haine, Denis Matignon:
Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems. 191-199 - Miguel Evangelista-Alvarado, José Crispín Ruíz-Pantaleón, Pablo Suárez-Serrato:
Examples of Symbolic and Numerical Computation in Poisson Geometry. 200-208 - Alessandro Bravetti, Marcello Seri, Federico Zadra:
New Directions for Contact Integrators. 209-216
Information Geometry in Physics
- Emmanuelle Rouhaud, Richard Kerner, Israa Choucair, Roula El Nahas, Alexandre Charles, Benoit Panicaud:
Space-Time Thermo-Mechanics for a Material Continuum. 219-226 - Pedro Pessoa:
Entropic Dynamics Yields Reciprocal Relations. 227-234
Lie Group Machine Learning
- Charles-Michel Marle:
Gibbs States on Symplectic Manifolds with Symmetries. 237-244 - Frédéric Barbaresco:
Gaussian Distributions on the Space of Symmetric Positive Definite Matrices from Souriau's Gibbs State for Siegel Domains by Coadjoint Orbit and Moment Map. 245-255 - Hideyuki Ishi:
On Gaussian Group Convex Models. 256-264 - Emmanuel Chevallier:
Exponential-Wrapped Distributions on $\text {SL}(2, \mathbb {C})$ and the Möbius Group. 265-272 - Daisuke Tarama, Jean-Pierre Françoise:
Information Geometry and Hamiltonian Systems on Lie Groups. 273-280
Geometric and Symplectic Methods for Hydrodynamical Models
- François Demoures, François Gay-Balmaz:
Multisymplectic Variational Integrators for Fluid Models with Constraints. 283-291 - Michael Kraus:
Metriplectic Integrators for Dissipative Fluids. 292-301 - François Gay-Balmaz, Cesare Tronci:
From Quantum Hydrodynamics to Koopman Wavefunctions I. 302-310 - Cesare Tronci, François Gay-Balmaz:
From Quantum Hydrodynamics to Koopman Wavefunctions II. 311-319
Harmonic Analysis on Lie Groups
- Gérard Letac:
The Fisher Information of Curved Exponential Families and the Elegant Kagan Inequality. 323-330 - Hideyuki Ishi, Kazuhide Oshiro:
Continuous Wavelet Transforms for Vector-Valued Functions. 331-339 - Juan Pablo Vigneaux:
Entropy Under Disintegrations. 340-349 - Frédéric Barbaresco:
Koszul Information Geometry, Liouville-Mineur Integrable Systems and Moser Isospectral Deformation Method for Hermitian Positive-Definite Matrices. 350-359 - Zdravko Terze, Viktor Pandza, Marijan Andric, Dario Zlatar:
Flapping Wing Coupled Dynamics in Lie Group Setting. 360-367
Statistical Manifold and Hessian Information Geometry
- Michel Boyom, Emmanuel Gnandi, Stéphane Puechmorel:
Canonical Foliations of Statistical Manifolds with Hyperbolic Compact Leaves. 371-379 - Michel Boyom:
Open Problems in Global Analysis. Structured Foliations and the Information Geometry. 380-388 - Barbara Opozda:
Curvature Inequalities and Simons' Type Formulas in Statistical Geometry. 389-396 - T. V. Mahesh, Subrahamanian Moosath K. S.:
Harmonicity of Conformally-Projectively Equivalent Statistical Manifolds and Conformal Statistical Submersions. 397-404 - Dario A. Bini, Bruno Iannazzo, Jie Meng:
Algorithms for Approximating Means of Semi-infinite Quasi-Toeplitz Matrices. 405-414
Geometric Mechanics
- Frédéric Barbaresco:
Archetypal Model of Entropy by Poisson Cohomology as Invariant Casimir Function in Coadjoint Representation and Geometric Fourier Heat Equation. 417-429 - Mathias Højgaard Jensen, Sarang C. Joshi, Stefan Sommer:
Bridge Simulation and Metric Estimation on Lie Groups. 430-438 - Nima Shirafkan, Pierre Gosselet, Franz Bamer, Abdelbacet Oueslati, Bernd Markert, Géry de Saxcé:
Constructing the Hamiltonian from the Behaviour of a Dynamical System by Proper Symplectic Decomposition. 439-447 - Eric Bergshoeff, Johannes Lahnsteiner, Luca Romano, Jan Rosseel, Ceyda Simsek:
Non-relativistic Limits of General Relativity. 448-455
Deformed Entropy, Cross-Entropy, and Relative Entropy
- Olivier Rioul:
A Primer on Alpha-Information Theory with Application to Leakage in Secrecy Systems. 459-467 - Léonard Monsaingeon, Dmitry Vorotnikov:
Schrödinger Encounters Fisher and Rao: A Survey. 468-476 - Zhixu Tao, Ting-Kam Leonard Wong:
Projections with Logarithmic Divergences. 477-486 - Éric Grivel:
Chernoff, Bhattacharyya, Rényi and Sharma-Mittal Divergence Analysis for Gaussian Stationary ARMA Processes. 487-495
Transport Information Geometry
- Shun-ichi Amari, Takeru Matsuda:
Wasserstein Statistics in One-Dimensional Location-Scale Models. 499-506 - Nicolás García Trillos, Félix Morales, Javier Morales:
Traditional and Accelerated Gradient Descent for Neural Architecture Search. 507-514 - Gabriel Khan, Jun Zhang:
Recent Developments on the MTW Tensor. 515-523 - Alex Tong Lin, Wuchen Li, Stanley J. Osher, Guido Montúfar:
Wasserstein Proximal of GANs. 524-533
Statistics, Information and Topology
- Juan Pablo Vigneaux:
Information Cohomology of Classical Vector-Valued Observables. 537-546 - Olivier Peltre:
Belief Propagation as Diffusion. 547-556 - Arthur J. Parzygnat:
Towards a Functorial Description of Quantum Relative Entropy. 557-564 - Noemie Combe, Philippe Combe, Hanna Nencka:
Frobenius Statistical Manifolds and Geometric Invariants. 565-573
Geometric Deep Learning
- Pierre-Yves Lagrave, Yann Cabanes, Frédéric Barbaresco:
${{\, \mathrm{SU}\, }}(1, 1)$ Equivariant Neural Networks and Application to Robust Toeplitz Hermitian Positive Definite Matrix Classification. 577-584 - Fabian B. Fuchs, Edward Wagstaff, Justas Dauparas, Ingmar Posner:
Iterative SE(3)-Transformers. 585-595 - Leonardo Gigli, Beatriz Marcotegui, Santiago Velasco-Forero:
End-to-End Similarity Learning and Hierarchical Clustering for Unfixed Size Datasets. 596-604 - Govind Menon:
Information Theory and the Embedding Problem for Riemannian Manifolds. 605-612 - Gautier Marti, Victor Goubet, Frank Nielsen:
cCorrGAN: Conditional Correlation GAN for Learning Empirical Conditional Distributions in the Elliptope. 613-620
Topological and Geometrical Structures in Neurosciences
- Matilde Marcolli:
Topological Model of Neural Information Networks. 623-633 - Pierre Baudot:
On Information Links. 634-644 - Carina Curto, Joshua Paik, Igor Rivin:
Betti Curves of Rank One Symmetric Matrices. 645-655 - Nicolas Berkouk:
Algebraic Homotopy Interleaving Distance. 656-664 - Eduarda Gervini Zampieri Centeno, Giulia Moreni, Chris Vriend, Linda Douw, Fernando Antônio Nóbrega Santos:
A Python Hands-on Tutorial on Network and Topological Neuroscience. 665-673
Computational Information Geometry
- Frank Nielsen, Richard Nock:
Computing Statistical Divergences with Sigma Points. 677-684 - Tomasz Skalski:
Remarks on Laplacian of Graphical Models in Various Graphs. 685-692 - Yann Cabanes, Frank Nielsen:
Classification in the Siegel Space for Vectorial Autoregressive Data. 693-700 - Maryam K. Garba, Tom M. W. Nye, Jonas Lueg, Stephan F. Huckemann:
Information Metrics for Phylogenetic Trees via Distributions of Discrete and Continuous Characters. 701-709 - Jonas Lueg, Maryam K. Garba, Tom M. W. Nye, Stephan F. Huckemann:
Wald Space for Phylogenetic Trees. 710-717 - Hisatoshi Tanaka:
A Necessary Condition for Semiparametric Efficiency of Experimental Designs. 718-725 - Jesse van Oostrum, Nihat Ay:
Parametrisation Independence of the Natural Gradient in Overparametrised Systems. 726-735 - Atsumi Ohara, Xiaoyan Zhang:
Properties of Nonlinear Diffusion Equations on Networks and Their Geometric Aspects. 736-743 - Goffredo Chirco:
Rényi Relative Entropy from Homogeneous Kullback-Leibler Divergence Lagrangian. 744-751 - Giovanni Pistone:
Statistical Bundle of the Transport Model. 752-759
Manifolds and Optimization
- Thomas Bendokat, Ralf Zimmermann:
Efficient Quasi-Geodesics on the Stiefel Manifold. 763-771 - Stéphanie Jehan-Besson, Régis Clouard, Nathalie Boddaert, Jacques Grill, Frédérique Frouin:
Optimization of a Shape Metric Based on Information Theory Applied to Segmentation Fusion and Evaluation in Multimodal MRI for DIPG Tumor Analysis. 772-780 - François Anton, Pietro Gori, Joan Glaunès:
Metamorphic Image Registration Using a Semi-lagrangian Scheme. 781-788 - Bin Gao, Nguyen Thanh Son, Pierre-Antoine Absil, Tatjana Stykel:
Geometry of the Symplectic Stiefel Manifold Endowed with the Euclidean Metric. 789-796
Divergence Statistics
- Frank Nielsen, Kazuki Okamura:
On f-divergences Between Cauchy Distributions. 799-807 - Wuchen Li:
Transport Information Hessian Distances. 808-817 - Pierre Bertrand, Michel Broniatowski, Jean-François Marcotorchino:
Minimization with Respect to Divergences and Applications. 818-828 - Wolfgang Stummer:
Optimal Transport with Some Directed Distances. 829-840 - Amor Keziou, Aida Toma:
Robust Empirical Likelihood. 841-848
Optimal Transport and Learning
- Yaël Frégier, Jean-Baptiste Gouray:
Mind2Mind: Transfer Learning for GANs. 851-859 - Yongxin Chen, Tryphon T. Georgiou, Michele Pavon:
Fast and Asymptotic Steering to a Steady State for Networks Flows. 860-868 - Philippe Jacquet, Liubov Tupikina:
Geometry of Outdoor Virus Avoidance in Cities. 869-877 - Shu Liu, Haodong Sun, Hongyuan Zha:
A Particle-Evolving Method for Approximating the Optimal Transport Plan. 878-887
Geometric Structures in Thermodynamics and Statistical Physics
- Alberto Chiarini, Giovanni Conforti, Luca Tamanini:
Schrödinger Problem for Lattice Gases: A Heuristic Point of View. 891-899 - François Gay-Balmaz, Hiroaki Yoshimura:
A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems. 900-908 - Rita Fioresi, Francesco Faglioni, Francesco Morri, Lorenzo Squadrani:
On the Thermodynamic Interpretation of Deep Learning Systems. 909-917 - Hiroaki Yoshimura, François Gay-Balmaz:
Dirac Structures in Thermodynamics of Non-simple Systems. 918-925
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