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ORCID7th GSI 2025: Saint-Malo, France - Part III
- Frank Nielsen
, Frédéric Barbaresco:
Geometric Science of Information - 7th International Conference, GSI 2025, Saint-Malo, France, October 29-31, 2025, Proceedings, Part III. Lecture Notes in Computer Science 16035, Springer 2026, ISBN 978-3-032-03923-1
New trends in Nonholonomic Systems
- Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony M. Bloch, Leonardo Colombo:
Virtual Nonlinear Nonholonomic Constraints from a Symplectic Point of View. 3-10 - Alexandre Anahory Simoes, Anthony M. Bloch, Leonardo Colombo, Efstratios Stratoglou:
Geometric Stabilization of Virtual Nonlinear Nonholonomic Constraints. 11-19 - Nicola Sansonetto, Marta Zoppello:
Trajectory Generation for Nonholonomic Control Systems Using Reconstruction Techniques on SE(2). 20-29 - Leonardo Colombo, Manuel de León, Maria Emma Eyrea Irazú, Asier López-Gordón:
Homogeneous Bi-Hamiltonian Structures and Integrable Contact Systems. 30-39 - Kenshin Okuwaki, Hiroaki Yoshimura:
Deep Dirac Neural Networks for Holonomic Mechanical Systems. 40-50
Learning of Dynamic Processes
- Giovanni Ballarin, Lyudmila Grigoryeva, Juan-Pablo Ortega:
Memory Capacity of Nonlinear Recurrent Networks: Is It Informative? 53-64 - Rémi Vaucher:
Lie-Adaptive Inversion of Signature via Pfeffer-Seigal-Sturmfels Algorithm. 65-72 - Rémi Vaucher, Paul Minchella:
Hypergraphs on High Dimensional Time Series Sets Using Signature Transform. 73-82 - Stéphane Chrétien, Ben Gao, Jordan Patracone, Olivier Alata:
Using Signatures and Koopman Operator to Learn Non-linear Dynamics. 83-92 - Domenico Campolo, Jianyu Hu, Juan-Pablo Ortega, Daiying Yin:
A Kernel-Based Global Method for the Learning of Elastic Potentials on Lie Groups. 93-102
Optimization and Learning on Manifolds
- René Zander, Raphael Seidel, Li Xiaoyue, Marek Gluza:
Role of Riemannian Geometry in Double-Bracket Quantum Imaginary-Time Evolution. 105-114 - Estefanía Loayza-Romero, Kathrin Welker:
Numerical Techniques for Geodesic Approximation in Riemannian Shape Optimization. 115-124 - Nathaël Da Costa, Bálint Mucsányi, Philipp Hennig:
Geometric Gaussian Approximations of Probability Distributions. 125-132 - Florentin Goyens, P.-A. Absil, Florian Feppon:
Geometric Design of the Tangent Term in Landing Algorithms for Orthogonality Constraints. 133-141 - Thibault de Surrel, Florian Yger, Fabien Lotte, Sylvain Chevallier:
A Probabilistic View on Riemannian Machine Learning Models for SPD Matrices. 142-151 - Hisatoshi Tanaka:
Efficiency of the Generalized Method of Moments from the Viewpoint of Differential Geometry. 152-161 - Jo Andersson Stokke, Ronny Bergmann, Martin Hanik, Christoph von Tycowicz:
p-Laplacians for Manifold-Valued Hypergraphs. 162-171 - Franziskus Steinert, Salem Said, Cyrus Mostajeran:
Universal Kernels via Harmonic Analysis on Riemannian Symmetric Spaces. 172-180
Neurogeometry
- Emre Baspinar:
Geometric Neural Fields for Cortical Activity. 183-193 - Olivier Bisson, Yanis Aeschlimann, Samuel Deslauriers-Gauthier, Xavier Pennec:
Log-Euclidean Frameworks for Smooth Brain Connectivity Trajectories. 194-204 - Mattia Galeotti, Giovanna Citti, Alessandro Sarti:
A Heterogeneous Model of Boundary and Figure Completion in V1. 205-214 - Vasiliki Liontou:
Geometry of Cells Sensible to Curvature and Their Receptive Profiles. 215-223 - Finn M. Sherry, Chase van de Geijn, Erik J. Bekkers, Remco Duits:
Orientation Scores Should Be a Piece of Cake. 224-233
Lie Group in Learning Distributions and in Filters
- Hiroto Inoue:
F-t Joint Distribution on a Real Siegel Domain and Simultaneous Hypothesis Test. 237-245 - Koichi Tojo, Taro Yoshino:
Note on Harmonic Exponential Families on Homogeneous Spaces. 246-253 - Koichi Tojo, Taro Yoshino:
The Fisher Metric and the Amari-Chentsov Tensor of the Family of Poincaré Distributions. 254-262 - Gabriel Trindade, Emmanuel Chevallier, André Nicolet, Frank Nielsen:
Fast Equivariant K-Means on SPD Matrices Using Log-Extrinsic Means. 263-270 - Serigne Daouda Pene, Samy Labsir, Julien Lesouple, Jean-Yves Tourneret:
A New Geometric Regression with Inputs-Outputs on Matrix Lie Groups. 271-279 - Alexandre Cellier-Devaux, Louis Grimaud Salmon:
Equivariant Filter: Navigation on the Rotating Round-Earth Model Using a Left-Error State. 280-289 - Enzo Lopez, Karim Dahia, Nicolas Merlinge, Bénédicte Winter-Bonnet, Alain Maschiella, Christian Musso:
Sequential Parallel Metropolis-Adjusted Langevin Algorithm on Matrix Lie Groups. 290-299
A Geometric Approach to Differential Equations
- Leonardo Colombo, Maria Emma Eyrea Irazú, María Eugenia García, Asier López-Gordón, Marcela Zuccalli:
Reduction of Hybrid Hamiltonian Systems with Non-equivariant Momentum Maps. 303-310 - Oscar Carballal:
New Lie Systems from Goursat Distributions: Reductions and Reconstructions. 311-319 - Verónica Errasti Díez, Jordi Gaset Rifá, Manuel Lainz Valcázar:
Symplectic Approach to Global Stability. 320-327 - J. Lange, Bartosz M. Zawora:
Reduction of Exact Symplectic Manifolds and Energy Hypersurfaces. 328-336 - Tomasz Sobczak, Tymon Frelik:
Novel Pathways in k-Contact Geometry. 337-345 - Silvia Vilariño:
A Relation Between K-Symplectic and K-Contact Hamiltonian System. 346-353 - Javier de Lucas, Marcin Zajac:
Applications of Standard and Hamiltonian Stochastic Lie Systems. 354-363
Information Geometry, Delzant Toric Manifold and Integrable System
- Frédéric Barbaresco:
Adler-Kostant-Symes Theorem and Algebraic Complete Integrability of Information Geometry and Souriau Lie Groups Thermodynamics $\left\langle {Q,\left[ {\beta ,Z} \right]} \right\rangle + \tilde{\Theta }\left( {\beta ,Z} \right) = 0$. 367-378 - Daisuke Tarama:
Statistical Transformation Models of Multivariate Normal Distributions and Their α-Geodesic Flows. 379-388 - Jérémie Pierard de Maujouy, Daisuke Tarama:
Statistical Transformation Models Associated to Souriau's Thermodynamics. 389-399 - Mathieu Molitor:
Moment Polytopes of Toric Exponential Families. 400-407 - Hajime Fujita, Kentaro Yamaguchi:
A Compactification of the Orthogonal Foliation via Toric Geometry. 408-416 - Nihat Ay, Lorenz Schwachhöfer:
Torsion of α-Connections on the Density Manifold. 417-427
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