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7th GSI 2025: Saint-Malo, France - Part II
- Frank Nielsen

, Frédéric Barbaresco
:
Geometric Science of Information - 7th International Conference, GSI 2025, Saint-Malo, France, October 29-31, 2025, Proceedings, Part II. Lecture Notes in Computer Science 16034, Springer 2026, ISBN 978-3-032-03920-0
Geometric Statistics
- Simon Mataigne, Pierre-Antoine Absil, Nina Miolane:

On the Approximation of the Riemannian Barycenter. 12-21 - Inés García-Redondo, Anthea Monod, Qiquan Wang:

Confidence Bands for Multiparameter Persistence Landscapes. 22-31 - Baalu Belay Ketema, Nicolas Bousquet, Francesco Costantino, Fabrice Gamboa, Bertrand Iooss, Roman Sueur:

Geodesic Non-completeness of the Truncated Normal Family. 32-40 - Jorge Valero, Vicent Gimeno i Garcia, M. Victoria Ibáñez, Amelia Simó:

Intrinsic LDA for 3D Shape Classification via Parallel Transport. 41-49 - Tom Szwagier, Guillaume Olikier, Xavier Pennec:

Eigengap Sparsity for Covariance Parsimony. 50-59 - Stephan F. Huckemann, Benjamin Eltzner, Kanti V. Mardia:

RNA Structure Correction - The Importance of Small Clusters. 60-66
Computational Information Geometry and Divergences
- Hà Quang Minh, Frank Nielsen:

Geometric Jensen-Shannon Divergence Between Gaussian Measures on Hilbert Space. 69-79 - Viktor Stein, Wuchen Li:

Accelerated Stein Variational Gradient Flow. 80-90 - Adwait Datar, Nihat Ay:

Wasserstein KL-Divergence for Gaussian Distributions. 91-101 - Amit Vishwakarma, Subrahamanian Moosath K. S.:

f-Divergence Approximation for Gaussian Mixtures. 102-110 - Rafael P. Eufrazio, Eduardo Fernandes Montesuma, Charles Casimiro Cavalcante:

A Dimensionality Reduction Technique Based on the Gromov-Wasserstein Distance. 111-120 - Eduardo Fernandes Montesuma:

KD2M: A Unifying Framework for Feature Knowledge Distillation. 121-130 - Frank Nielsen:

Curved Representational Bregman Divergences and Their Applications. 131-140 - Zelin Yi, Jun Zhang:

Tangent Groupoid and Information Geometry. 141-150 - Masaki Yoshioka, Fuyuhiko Tanaka:

Two Types of Matching Priors for Non-regular Statistical Models. 151-160 - Jaehyung Choi:

Hyperbolic Decomposition of Dirichlet Distance for ARMA Models. 161-170
Geometric Methods in Thermodynamics
- Lock Yue Chew, Jian Wei Cheong, Andri Pradana:

Thermodynamic Functionality of Non-detailed Balance Finite-Tape Information Ratchet. 173-181 - Cesare Tronci, David Martínez-Crespo, François Gay-Balmaz:

Entropy Functionals and Equilibrium States in Mixed Quantum-Classical Dynamics. 182-192 - Héctor Vaquero del Pino, François Gay-Balmaz, Hiroaki Yoshimura, Lock Yue Chew:

Variational Approach to the Stochastic Thermodynamics of Langevin Systems. 193-203 - Tianzhi Li, François Gay-Balmaz, Donghua Shi, Jinzhi Wang:

Variational Principle for Stochastic Nonholonomic Systems Part I: Continuous-Time Formulation. 204-213 - François Gay-Balmaz, Hiroaki Yoshimura:

Interconnection and Variational Principles for Fluid-Bubble Dynamics. 214-224 - Tianzhi Li, François Gay-Balmaz, Donghua Shi, Jinzhi Wang:

Variational Principle for Stochastic Nonholonomic Systems Part II: Stochastic Nonholonomic Integrator. 225-233 - Hiroaki Yoshimura, François Gay-Balmaz:

Hamilton-Dirac Formulation for Thermodynamic Systems with Reaction and Diffusion. 234-241 - Jonas Kirchhoff, Bernhard Maschke:

On a Generalisation of Metriplectic Systems. 242-250
Classical and Quantum Information, Geometry and Topology
- Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo:

Towards a Category-Theoretic Foundation of Classical and Quantum Information Geometry. 253-261 - Matthew Di Meglio, Chris Heunen, J. S. Lemay, Paolo Perrone, Dario Stein:

Independent States are Orthogonal: A Categorical Framework to Treat Probability Geometrically. 262-269 - Jan Naudts:

Two-Typed Tangent Vectors in Quantum Statistical Mechanics. 270-279 - Olivier Rioul:

A Historical Perspective on the Schützenberger-van Trees Inequality: A Posterior Uncertainty Principle. 280-289 - Elodie Maignant, Tim Conrad, Christoph von Tycowicz:

Tree Inference with Varifold Distances. 290-299
Geometric Mechanics
- Mohamad Harakeh, Michael Ban, Géry de Saxcé:

Symplectic Bipotentials for the Dynamics of Dissipative Systems with Non Associated Constitutive Laws. 303-311 - Frédéric Barbaresco:

Debreu's 3-Webs and Affinely Flat Bi-Lagrangian Manifolds Links with Transverse Symplectic Foliation of Souriau's Dissipative Lie Groups Thermodynamics. 312-322 - Eric Bergshoeff, Patrick Concha, Octavio Fierro, Evelyn Rodríguez, Jan Rosseel:

Applied Conformal Carroll Geometry. 323-331 - François Dubois, Juan Antonio Rojas-Quintero:

A Variational Symplectic Scheme Based on Lobatto's Quadrature. 332-342 - Bertuel Tangue Ndawa:

Lifting of Some Dynamics on the Set of Bilagrangian Structures. 343-346 - Víctor M. Jiménez, Manuel de León:

The Contact Eden Bracket and the Evolution of Observables. 347-356 - Géry de Saxcé:

A New Symmetry Group for Physics to Revisit the Kaluza-Klein Theory. 357-365 - Mewen Crespo, Guy Casale, Loïc Le Marrec, Patrizio Neff:

Defects in Unidimensional Structures. 366-374 - Adam Ouzeri:

A Gradient Structure for Isotropic Non-linear Morphoelastic Bodies. 375-383 - Christian Y. Cardall:

Towards Full 'Galilei General Relativity': Gravitational Kinematics in Bargmann Spacetimes. 384-394
Stochastic Geometric Dynamics
- Ana Bela Cruzeiro, Ali Suri:

Stochastic Perturbation of Geodesics on the Manifold of Riemannian Metrics. 397-405 - Qiao Huang, Jean-Claude Zambrini:

Stochastic Maupertuis's Principles and Jacobi's Integration Theorem. 406-415 - Theo Diamantakis, Ruiao Hu:

Lagrangian Averaging of Singular Stochastic Actions for Fluid Dynamics. 416-430 - Marc Arnaudon, Magalie Bénéfice, Audrey Giremus:

Continuous-Time Filtering in Lie Groups: Estimation via the Fréchet mean of solutions to stochastic differential equations. 431-440

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