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6th GSI 2023: St. Malo, France - Part I
- Frank Nielsen
, Frédéric Barbaresco
Geometric Science of Information - 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part I. Lecture Notes in Computer Science 14071, Springer 2023, ISBN 978-3-031-38270-3
Geometric Green Learning
- Alice Barbara Tumpach, Stephen C. Preston:
Three Methods to Put a Riemannian Metric on Shape Space. 3-11 - Elodie Maignant
Riemannian Locally Linear Embedding with Application to Kendall Shape Spaces. 12-20 - Lidiya Pryymak, Tim Suchan, Kathrin Welker:
A Product Shape Manifold Approach for Optimizing Piecewise-Smooth Shapes. 21-30 - Alice Barbara Tumpach
On Canonical Parameterizations of 2D-Shapes. 31-40 - Ioana Ciuclea
Shape Spaces of Nonlinear Flags. 41-50
Neurogeometry Meets Geometric Deep Learning
- Maria Virginia Bolelli, Giovanna Citti, Alessandro Sarti, Steven W. Zucker:
A Neurogeometric Stereo Model for Individuation of 3D Perceptual Units. 53-62 - Gautam Pai, Gijs Bellaard, Bart M. N. Smets, Remco Duits:
Functional Properties of PDE-Based Group Equivariant Convolutional Neural Networks. 63-72 - Sharvaree P. Vadgama, Jakub M. Tomczak, Erik J. Bekkers:
Continuous Kendall Shape Variational Autoencoders. 73-81 - Santiago Velasco-Forero:
Can Generalised Divergences Help for Invariant Neural Networks? 82-90 - Christian Shewmake, Nina Miolane, Bruno A. Olshausen:
Group Equivariant Sparse Coding. 91-101
Divergences in Statistics and Machine Learning
- Michel Broniatowski
On a Cornerstone of Bare-Simulation Distance/Divergence Optimization. 105-116 - Valérie Girardin
Extensive Entropy Functionals and Non-ergodic Random Walks. 117-124 - Mohamed Boukeloua, Amor Keziou:
Empirical Likelihood with Censored Data. 125-135 - Jean-Patrick Baudry, Michel Broniatowski, Cyril Thommeret:
Aggregated Tests Based on Supremal Divergence Estimators for Non-regular Statistical Models. 136-144
Computational Information Geometry and Divergences
- Frank Nielsen
Quasi-arithmetic Centers, Quasi-arithmetic Mixtures, and the Jensen-Shannon $\nabla $-Divergences. 147-156 - Hisatoshi Tanaka:
Geometry of Parametric Binary Choice Models. 157-166 - Koichi Tojo
A q-Analogue of the Family of Poincaré Distributions on the Upper Half Plane. 167-175 - Frank Nielsen
On the f-Divergences Between Hyperboloid and Poincaré Distributions. 176-185 - Kaiming Cheng, Jun Zhang:
λ-Deformed Evidence Lower Bound (λ-ELBO) Using Rényi and Tsallis Divergence. 186-196
Statistical Manifolds and Hessian Information Geometry
- Barbara Opozda:
On the Tangent Bundles of Statistical Manifolds. 199-206 - Prosper Rosaire Mama Assandje
Geometric Properties of Beta Distributions. 207-216 - Mopeng Herguey
KV Cohomology Group of Some KV Structures on $\mathbb {R}^2$. 217-225 - Masaki Yoshioka
Alpha-parallel Priors on a One-Sided Truncated Exponential Family. 226-235 - Subrahamanian Moosath K. S., T. V. Mahesh:
Conformal Submersion with Horizontal Distribution and Geodesics. 236-243
Statistics, Information and Topology
- Tom Mainiero
Higher Information from Families of Measures. 247-257 - Grégoire Sergeant-Perthuis:
A Categorical Approach to Statistical Mechanics. 258-267 - Paolo Perrone
Categorical Information Geometry. 268-277 - Stephanie Chen
Categorical Magnitude and Entropy. 278-287
Information Theory and Statistics
- Olivier Rioul
A Historical Perspective on Schützenberger-Pinsker Inequalities. 291-306 - Franck Florin
On Fisher Information Matrix, Array Manifold Geometry and Time Delay Estimation. 307-317 - Fábio C. C. Meneghetti
Revisiting Lattice Tiling Decomposition and Dithered Quantisation. 318-327 - Geoffrey Wolfer
Geometric Reduction for Identity Testing of Reversible Markov Chains. 328-337 - Juan Pablo Vigneaux:
On the Entropy of Rectifiable and Stratified Measures. 338-346
Statistical Shape Analysis and more Non-Euclidean Statistics
- Susanne Ulmer, Do Tran Van, Stephan F. Huckemann:
Exploring Uniform Finite Sample Stickiness. 349-356 - Lars Lammers, Do Tran Van, Tom M. W. Nye, Stephan F. Huckemann:
Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree. 357-365 - Anna Calissano
Towards Quotient Barycentric Subspaces. 366-374 - Tom Szwagier
Rethinking the Riemannian Logarithm on Flag Manifolds as an Orthogonal Alignment Problem. 375-383 - Yann Thanwerdas
Characterization of Invariant Inner Products. 384-391
Probability and Statistics on Manifolds
- Marc Lambert, Silvère Bonnabel, Francis R. Bach:
Variational Gaussian Approximation of the Kushner Optimal Filter. 395-404 - Andi Han, Bamdev Mishra, Pratik Jawanpuria, Junbin Gao:
Learning with Symmetric Positive Definite Matrices via Generalized Bures-Wasserstein Geometry. 405-415 - Hà Quang Minh
Fisher-Rao Riemannian Geometry of Equivalent Gaussian Measures on Hilbert Space. 416-425 - Nathaël Da Costa, Cyrus Mostajeran, Juan-Pablo Ortega
The Gaussian Kernel on the Circle and Spaces that Admit Isometric Embeddings of the Circle. 426-435 - Salem Said, Cyrus Mostajeran:
Determinantal Expressions of Certain Integrals on Symmetric Spaces. 436-443 - Emmanuel Chevallier:
Projective Wishart Distributions. 444-451
Computing Geometry and Algebraic Statistics
- Carlos Améndola
Convex Hulls of Curves: Volumes and Signatures. 455-464 - Jorge Caravantes
Avoiding the General Position Condition When Computing the Topology of a Real Algebraic Plane Curve Defined Implicitly. 465-473 - Sitanshu Gakkhar, Matilde Marcolli:
Dynamical Geometry and a Persistence K-Theory in Noisy Point Clouds. 474-483 - Charlotte Vermeylen
An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank. 484-493 - Eliana Duarte
Toric Fiber Products in Geometric Modeling. 494-503
Geometric and Analytical Aspects of Quantization and Non-Commutative Harmonic Analysis on Lie Groups
- Paolo Aniello
Twirled Products and Group-Covariant Symbols. 507-515 - Tatyana Barron, Alexander Kazachek:
Coherent States and Entropy. 516-523 - Pierre Bieliavsky, Valentin Dendoncker:
A Non-formal Formula for the Rankin-Cohen Deformation Quantization. 524-532 - Pierre Bieliavsky, Valentin Dendoncker, Stéphane Korvers:
Equivalence of Invariant Star-Products: The "Retract" Method. 533-539
Deep Learning: Methods, Analysis and Applications to Mechanical Systems
- David Erzmann, Sören Dittmer, Henrik Harms, Peter Maaß:
DL4TO : A Deep Learning Library for Sample-Efficient Topology Optimization. 543-551 - Håkon Noren
Learning Hamiltonian Systems with Mono-Implicit Runge-Kutta Methods. 552-559 - Oliver J. Sutton, Alexander N. Gorban, Ivan Yu. Tyukin:
A Geometric View on the Role of Nonlinear Feature Maps in Few-Shot Learning. 560-568 - Christian Offen
Learning Discrete Lagrangians for Variational PDEs from Data and Detection of Travelling Waves. 569-579
Stochastic Geometric Mechanics
- Qiao Huang
Gauge Transformations in Stochastic Geometric Mechanics. 583-591 - Magalie Bénéfice, Marc Arnaudon, Michel Bonnefont:
Couplings of Brownian Motions on $SU(2,\mathbb {C})$. 592-600 - Neeraj Bhauryal
A Finite Volume Scheme for Fractional Conservation Laws Driven by Lévy Noise. 601-609 - Antonin Chambolle, Vincent Duval, João Miguel Machado:
The Total Variation-Wasserstein Problem: A New Derivation of the Euler-Lagrange Equations. 610-619
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