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ORCID7th GSI 2025: Saint-Malo, France - Part I
- Frank Nielsen
, Frédéric Barbaresco:
Geometric Science of Information - 7th International Conference, GSI 2025, Saint-Malo, France, October 29-31, 2025, Proceedings, Part I. Lecture Notes in Computer Science 16033, Springer 2026, ISBN 978-3-032-03917-0
Geometric Learning and Differential Invariants on Homogeneous Spaces
- Mireille Boutin, Rob Eggermont, Gregor Kemper:
Global Positioning on Earth. 3-12 - Remco Duits, Gijs Bellaard, Alice Barbara Tumpach:
Analysis and Computation of Geodesic Distances on Reductive Homogeneous Spaces. 13-23 - Gijs Bellaard, Bart M. N. Smets, Remco Duits:
Universal Collection of Euclidean Invariants Between Pairs of Position-Orientations. 24-33 - Gijs Bellaard, Bart M. N. Smets:
Roto-Translation Invariant Metrics on Position-Orientation Space. 34-42 - Gustavo Jesus Angulo:
Group Morphology Fixed Points on Homogenous Spaces for Deep Learning Equivariant Networks. 43-53 - Finn M. Sherry, Bart M. N. Smets:
Flow Matching on Lie Groups. 54-62
Statistical Manifolds and Hessian Information Geometry
- Hikozo Kobayashi, Takayuki Okuda:
On Invariant Conjugate Symmetric Statistical Structures on the Space of Zero-Mean Multivariate Normal Distributions. 65-72 - Florio M. Ciaglia, Giuseppe Marmo, Marco Pacelli, Luca Schiavone, Alessandro Zampini:
Bi-forms Approach to Potential Functions in Information Geometry. 73-82 - Keiko Uohashi:
A Foliation by Escort Distributions of Exponential Families and Extended Divergence. 83-91 - Guilherme F. Almeida:
Flat F Manifolds on Statistical Manifolds of Hyperboloid Type. 92-101 - Xiwei Tian, Ting-Kam Leonard Wong, Jiaowen Yang, Jun Zhang:
Maximum Likelihood Estimation for the λ-Exponential Family. 102-111 - Christoph Hirche:
Rényi Partial Orders for BISO Channels. 112-120 - Franck Florin:
The Fisher-Rao Distance Between Finite Energy Signals. 121-129 - Paola Siri, Barbara Trivellato:
Statistical Models Built on Sub-exponential Random Variables. 130-138 - Michel Nguiffo Boyom:
Koszul Homological Series and Fedosov Foliations on Statistical Manifolds. 139-145 - Carlos Alberto Alcalde:
Coherent States on the Statistical Manifold. 146-157
Applied Geometry-Informed Machine Learning
- Federico Costanza, Lachlan Simpson:
Riemannian Integrated Gradients: A Geometric View of Explainable AI. 161-169 - Andrea Bucci, Michele Palma:
A Geometric Deep Learning Approach to Forecasting the Time Series of Covariance Matrices. 170-177 - Sarah Kushner, Vismay Modi, Nina Miolane:
Learning Riemannian Metrics for Interpolating Animations. 178-187 - Jingchao Zhou, Gefan Yang, Stefan Sommer:
Conditioning Surface Shape Processes with Neural Operators. 188-197 - Angelica Simonetti, Ferdinando Zanchetta:
GNN-Enhanced TCN Algorithms for ECG Signal Quality Recognition. 198-207 - Wen-Ran Li, Miloud Bessafi, Cédric Damour, Yu Li, Alain Miranville, Rong Yang, Xin-Guang Yang, Frédéric Cadet:
WAN2DNS-PM: Weak Adversarial Networks for Solving 2D Incompressible Navier-Stokes Equations in Porous Media. 208-216 - M. Maurin, M. A. Evangelista-Alvarado, Pablo Suárez-Serrato:
Space Filling Positionality and the Spiroformer. 217-225 - Noemie Combe, Hanna Nencka:
Image Recognition via Vaisman-Neifeld's Geometry. 226-235 - Antonio Mucherino:
The Stick Model for Distance Geometry. 236-244 - Geoffrey Deperle, Philippe Jacquet:
Generating Random Hyperfractal Cities. 245-253 - Noemie Combe, Hanna Nencka:
Shape Theory and TDA via the Atiyah-Molino Reconstruction. 254-263
Geometric Green Learning on Groups and Quotient Spaces
- Catarina P. Coutinho, Aneeqa Merhab, Janko Petkovic, Ferdinando Zanchetta, Rita Fioresi:
Enhancing CNNs Robustness to Occlusions with Bioinspired Filters for Border Completion. 267-275 - Mireille Boutin, Evzenie Coupkova:
A New Model for Natural Groupings in High-Dimensional Data. 276-285 - Levin Maier:
Information Geometry on the ℓ 2-Simplex via the q-Root Transform. 286-296 - Elija Perrier:
K-P Quantum Neural Networks. 297-305 - Alice Barbara Tumpach:
Infinite-Dimensional Siegel Disc as Symplectic and Kähler Quotient. 306-317 - Alice Barbara Tumpach:
Hyperkähler Marriage of the Two Sphere with the Hyperbolic Space. 318-330
Divergences in Statistics and Machine Learning
- Valérie Girardin, Pierre Maréchal:
Minimum of Divergences with Relaxation: a Hilbertian Alternative to Duality Approach. 333-339 - Masahiro Kobayashi:
Relationship Between Hölder Divergence and Functional Density Power Divergence: Intersection and Generalization. 340-350 - Takashi Takenouchi:
Bayesian-Like Estimation with Unnormalized Model. 351-358 - Pierre Bertrand, Wolfgang Stummer:
Some Smooth Divergences for ℓ 1-Approximations. 359-368 - Alexander Soen:
A Connection Between Learning to Reject and Bhattacharyya Divergences. 369-377
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