GSI'23 Programm

GEOMETRY & MACHINE LEARNING

Geometric Green Learning - Alice Barbara TUMPACH, Diarra FALL & Guillaume CHARPIAT

    157         Stratified Riemannian geometry for frugal learning with brain signals – Sylvain Chevallier (Université Paris Saclay)*; Yann Thanwerdas (CentraleSupelec)

    42           Spotting Expressivity Bottlenecks and Fixing Them Optimally – Manon V Verbockhaven (INRIA)*; Guillaume Charpiat (INRIA)

    99           On canonical parameterizations of 2D-shapes – Alice Barbara Tumpach (Universite Lille)*

    104         Shape spaces of nonlinear flags – Ioana Ciuclea (West University of Timisoara)*; Alice Barbara Tumpach (Universite Lille); Cornelia Vizman (West University of Timisoara

   114         3 methods to put a Riemannian metric on Shape space – Alice Barbara Tumpach (Universite Lille)*; Stephen C. Preston (Brooklyn College)

   120         Riemannian Locally Linear Embedding with Application to Kendall Shape Spaces – Elodie Maignant (Inria Côte d’Azur)*

    58           A product shape manifold approach for optimizing piecewise-smooth shapes – Lidiya Pryymak (TU Bergakademie Freiberg)*; Tim Suchan (Helmut Schmidt University); Kathrin Welker (TU Bergakademie Freiberg)

Neurogeometry Meets Geometric Deep Learning - Remco DUITS & Erik BEKKERS, Alessandro SARTI 

    12           Functional Properties of PDE based Group Equivariant Convolutional Neural Networks – Gautam Pai (TU – Eindhoven)*; Gijs Bellaard (Eindhoven University of Technology); Bart  Smets (Eindhoven University of Technology); Remco Duits (Eindhoven University of Technology)

   103         Continuous Kendall Shape Variational Autoencoders – Sharvaree Vadgama (University of Amsterdam)*; Jakub M Tomczak (Eindhoven University of Technology); Erik J Bekkers (University of Amsterdam)

   121         A neurogeometric stereo model for individuation of 3D perceptual unit – Maria Virginia Bolelli (Universita di Bologna)*; Giovanna Citti (University of Bologna); Alessandro Sarti (CNRS); Steven Zucker (Yale University)

   168         Can generalised divergences help for invariant neural networks? – Santiago Velasco-Forero (MINES ParisTech)*

   145         Equivariant Sparse Coding – Christian A Shewmake (UC Berkeley)*; Nina Miolane (UCSB); Bruno A Olshausen (UC Berkeley)

Divergences in Statistics & Machine Learning - Michel BRONIATOWSKI &   Wolfgang STUMMER 

    34           On a Cornerstone of Bare-Simulation Distance Optimization – Michel Broniatowski (LPSM Sorbonne); Wolfgang Stummer (University of Erlangen-Nürnberg)*

   143         Aggregated Tests Based on Supremal Divergence (or Dual φ-Divergence) Estimators for non-Regular Statistical Models – Jean-Patrick Baudry (Sorbonne Université)*; Michel Broniatowski (LPSM Sorbonne); Cyril THOMMERET (LPSM)

    53           Extensive Entropy Functionals and Non-Ergodic Random Walks – Philippe Regnault (Université de Reims Champagne-Ardenne)*; Valérie Girardin (Université de Caen Normandie)

   112         Empirical Likelihood with Censored Data – Mohamed Boukeloua  (Ecole Nationale Polytechnique de Constantine, Laboratoire LAMASD, Université Les Frères Mentouri); Amor KEZIOU (Laboratoire de Mathématiques de Reims, UMR 9008, Université de Reims Champagne-Ardenne)*

Divergences and computational information geometry

Computational Information Geometry and Divergences - Frank NIELSEN  

    1             Quasi-arithmetic mixtures and the Jensen-Shannon $\nabla$-divergences – Frank Nielsen (Sony CS Labs, Inc)*

   29           A numerical approximation method for the Fisher-Rao distance between multivariate normal distributions – Frank Nielsen (Sony CS Labs, Inc)*

   36           On the $f$-divergences between hyperboloid and Poincar\’e distributions – Frank Nielsen (Sony CS Labs, Inc)*; Kazuki Okamura (Shizuoka University)

   28           Geometry of Parametric Binary Choice Models – Hisatoshi Tanaka (Waseda University)*

   94           A q-analogue of the family of Poincaré distributions on the upper half plane – Koichi Tojo (RIKEN AIP)*; Taro Yoshino (Graduate School of Mathematical Sciences, The University of Tokyo)

  156         λ-Deformed Evidence Lower Bound (λ-ELBO) using R ́enyi and Tsallis Divergence – Kaiming Cheng (University of Michigan)*; Jun Zhang 

Statistical Manifolds and Hessian information geometry - Michel NGUIFFO BOYOM 

    21           On the tangent bundles of statistical manifolds – Barbara Opozda (Jagiellonian University)*

    95           Conformal Submersion with horizontal distribution and geodesic – Mahesh  T V (Mahatma Gandhi College, Thiruvananthapuram )*; K S Subrahamanian Moosath (Indian Institute of Space Science and Technology)

   132         Geometric properties of beta distribution – Joseph Dongho (University of Maroua)*; Prosper Rosaire MAMA ASSANDJE (University of Maroua)

   166         KV COHOMOLOGY GROUP OF SOME D KV STRUCTURES ON R^2 – Mopeng Herguey (University of Pala)*; Joseph Dongho (University of Maroua)

    90           Alpha-parallel priors on one-sided truncated exponential family – Masaki Yoshioka (Osaka University)*; Fuyuhiko Tanaka (Osaka University)

STATISTICS, TOPOLOGY & SHAPES PACES

Statistics, Information and Topology - Pierre BAUDOT & Grégoire SEARGEANT-PERTHUIS    

   10           Categorical Information Geometry – Paolo Perrone (University of Oxford)*

   87           Higher Information from Families of Measures – Tom Mainiero (St. Joseph’s University, NY)*

   88           Categorical magnitude and entropy – Juan Pablo Vigneaux (Caltech)*; Stephanie Chen (Caltech)

  155         A categorical approach to Statistical Mechanics – Grégoire Sergeant (Inria Paris)*

Information Theory and Statistics - Olivier RIOUL   

  93           A Historical Perspective on Schützenberger-Pinsker Inequalities – Olivier Rioul (Télécom Paris)*

 127         Revisiting lattice tiling decomposition and dithered quantisation – Fábio C. C. Meneghetti (University of Campinas)*; Henrique Miyamoto (Université Paris-Saclay); Sueli Costa (University of Campinas); Max Costa (University of Campinas)

  23           Geometric Reduction for Identity Testing of Reversible Markov Chains – Geoffrey Wolfer (RIKEN)*; Shun Watanabe (Tokyo University of Agriculture and Technology)

  27           On Fisher information matrix, array manifold geometry and time delay estimation – Franck L FLORIN (Thales)*

  110         On the entropy of rectifiable and stratified measures – Juan Pablo Vigneaux (Caltech)*

Statistical Shape Analysis and more Non-Euclidean Statistics - Stephan HUCKEMANN & Xavier PENNEC

    74           Exploring Uniform Finite Sample Stickiness – Susanne Ulmer (Georg-August-Universität Göttingen); Do Tran Van (Georg-August-Universität Göttingen); Stephan F Huckemann (Georg-August-Universität Göttingen)*

   105         Invariant inner products I: characterization – Yann Thanwerdas (Inria)*; Xavier Pennec (INRIA)

   117         Types of Stickiness in BHV Phylogenetic Tree Spaces and Their Degree – Lars Lammers (Georg-August-Universität Göttingen)*; Do Tran Van (Georg-August-Universität Göttingen); Stephan F. Huckemann (Georg-August-Universität Göttingen); Tom M. W. Nye (Newcastly University)

   126         Towards Quotient Barycentric Subspaces – Anna Calissano (INRIA)*; Elodie Maignant (Inria Côte d’Azur); Xavier Pennec (INRIA)

   119         Rethinking the Riemannian logarithm on flag manifolds as an orthogonal alignment problem – Tom Szwagier  (Inria)*; Xavier Pennec (INRIA)

Probability and Statistics on manifolds - Cyrus MOSTAJERAN

   49           Variational Gaussian approximation of the Kushner optimal filter – Marc Lambert (INRIA)*; Silvère Bonnabel (Mines Paris Tech); Francis Bach (INRIA – Ecole Normale Supérieure)

   68           Learning with symmetric positve definite matrices via generalized Bures-Wasserstein geometry – Andi Han (University of Sydney); Bamdev Mishra (Microsoft)*; Pratik Jawanpuria (Microsoft); Junbin Gao (University of Sydney, Australia)

   92           Fisher-Rao Riemannian geometry of equivalent Gaussian measures on Hilbert space – Minh Ha Quang ()*

   96           The Gaussian kernel on the circle and spaces that admit isometric embeddings of the circle – Cyrus Mostajeran (NTU)*; Nathaël Da Costa (NTU); Juan-Pablo Ortega (Nanyang Technological University)

  118         Determinantal expressions of certain integrals on symmetric spaces – Salem SAID (CNRS); Cyrus Mostajeran (NTU)*

  144         Projective Wishart distributions – Emmanuel Chevallier (AMU)*

Computing Geometry & Algebraic Statistics - Eliana DUARTE & Elias TSIGARIDAS 

    6             Convex Hulls of Curves: Volumes and Signatures – Carlos Améndola (Technical University Berlin)*; Darrick Lee (University of Oxford); Chiara Meroni (MPI-MiS Leipzig)

   59           Avoiding the general position condition when computing the topology of a real algebraic plane curve defined implicitly – Jorge Caravantes (Universidad de Alcalá); Gema M. Diaz-Toca (Universidad de Murcia)*; Laureano Gonzalez-Vega (CUNEF Universidad, Madrid)

  128         Dynamical geometry and a persistence K-theory in noisy point clouds – Sitanshu Gakkhar (California Institute of Technology)*; Matilde Marcolli (California Institute of Technology)

  142         An Approximate Projection onto the Tangent Cone to the Variety of Third-Order Tensors of Bounded Tensor-Train Rank – Charlotte Vermeylen (KULeuven)*; Guillaume Olikier (UCLouvain); Marc Van Barel (KU Leuven)

    84           Toric Fiber Products in Geometric Modeling – Maximilian Wiesmann (Max-Planck-Institute for Mathematics in the Sciences)*; Eliana  M Duarte Gelvez (CMUP); Benjamin Hollering (Max-Planck-Institute for Mathematics in the Sciences)

GEOMETRY & MECHANICS

Geometric and Analytical Aspects of Quantization and Non-Commutative Harmonic Analysis on Lie Groups - Pierre BIELIAVSKY & Jean-Pierre GAZEAU  

   7             Twirled Products and Group-Covariant Symbols – Paolo Aniello (Università di Napoli « Federico II »)*

  63           Coherent states and entropy – Tatyana Barron (University of Western Ontario)*; Alexander Kazachek (University of Western Ontario)

  75           A non-formal formula for the Rankin-Cohen deformation quantization – Valentin Dendoncker (ICHEC)*; Pierre Bieliavsky (UCLouvain)

  55           Equivalence of invariant star-products : the « retract » method – Valentin Dendoncker (ICHEC); Pierre Bieliavsky (UCLouvain)*; Stéphane Korvers (Gevers Patents)

Deep learning: Methods, Analysis and Applications to Mechanical Systems - Elena CELLEDONI, James JACKAMAN, Davide MURARI and Brynjulf OWREN 

  83           DL4TO: A Deep Learning Library for Sample-Efficient Topology Optimization – David Erzmann (University of Bremen)*

 111         Learning Hamiltonian Systems with Mono-Implicit Runge–Kutta Methods – Håkon Noren (NTNU)*

 124         Optimisation via conformal Hamiltonian systems on manifolds with application to deep learning – Caterina Mazzetti (University of Bologna)*; Alessandro Sarti (CNRS); Giovanna Citti (University of Bologna)

 140         SE(3)-equivariant hemodynamic field estimation in 3D artery models via graph neural networks – Julian Suk (University of Twente)*

 159         A geometric view on the role of nonlinear feature maps in few-shot learning – Oliver Sutton (King’s College London)*; Alexander Gorban (University of Leicester); Ivan Tyukin (King’s College London)

  32           Learning discrete Lagrangians for variational PDEs from data and detection of travelling waves – Christian Offen (Paderborn University)*; Sina Ober-Blöbaum (University of Oxford)

Stochastic Geometric Mechanics - Ana Bela CRUZEIRO & Jean-Claude ZAMBRINI 

 

  97           Gauge Transformations in Stochastic Geometric Mechanics – Qiao Huang (Nanyang Technological University)*; Jean-Claude Zambrini (GFM and Dep. Mathematics Faculty of Sciences Univ. Lisbon)

  67           Couplings of Brownian motions on $SU(2,\mathbb©$ – Magalie Bénéfice (Université de Bordeaux)*; Marc Arnaudon (Bordeaux University); Michel Bonnefont (Université de Bordeaux)

  73           A finite volume scheme for fractional conservation laws driven by Lévy noise – Neeraj Singh Bhauryal (GFM, University of Lisbon)*

 133         The Total Variation-Wasserstein problem: a new derivation of the Euler-Lagrange equations – Joao Miguel JM Machado (Université Paris-Dauphine)*; Antonin Chambolle (CEREMADE, CNRS, Université Paris-Dauphine / PSL); Vincent Duval ()

Geometric Mechanics - Gery DE SAXCE & Zdravko TERZE 

  44           Lie group Quaternion Attitude-Reconstruction of Quadrotor UAV – Zdravko Terze (Department of Aeronautical Engineering, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb)*; Dario Zlatar (Department of Aeronautical Engineering, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb); Marko Kasalo (Department of Aeronautical Engineering, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb); Marijan Andrić (Department of Aeronautical Engineering, Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb)

   8             A variational principle of minimum for Navier-Stokes equation based on the symplectic formalism – Géry de Saxcé (University of Lille)*

  31           A variational  symplectic scheme based on Simpson’s quadrature – François Dubois (CNAM and LMO Orsay )*

  43           Generalized Galilean Geometries – Eric Bergshoeff (University of Groningen)*

  81           Continuum mechanics of defective media: an approach using fiber bundles – Mewen Crespo (Univ Rennes)*; Guy Casale (Univ Rennes); Loïc Le Marrec (Univ Rennes)

 147         Singular cotangent models in fluids with dissipation – Baptiste Coquinot (ENS)*; Pau Mir Garcia (Universitat Politècnica de Catalunya); Eva Miranda (Universitat Politècnica de Catalunya)

  22           Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams – Tianzhi Li (Peking University); Jinzhi Wang (Peking University)*

 169         Bargmann-Minkowski and Bargmann-Galilei spacetimes – Christian Y. Cardall (Physics Division, Oak Ridge National Laboratory)*

New trends in Nonholonomic Systems - Manuel de León & Leonardo Colombo

 2             Existence of global minimizer for elastic variational obstacle avoidance problems on Riemannian manifolds – Leonardo J Colombo (Consejo Superior de Investigaciones Cientificas (CSIC))*

 4             Virtual Affine Nonholonomic Constraints – Efstratios Stratoglou (Universidad Politecnica de Madrid); Alexandre Anahory Simoes (IE University)*; Anthony Bloch (University of Michigan); Leonardo Colombo (Centre for Automation and Robotics (CSIC-UPM))

11           Nonholonomic systems with inequality constraints – Alexandre Anahory Simoes (IE University)*; Leonardo Colombo (CAR (UPM-CSIC))

82           Nonholonomic brackets: Revisiting Eden – Manuel de Leon (CSIC)*

GEOMETRY & THERMODYNAMICS

Symplectic Structures of Heat & Information Geometry - Frédéric BARBARESCO & Pierre BIELIAVSKY 

   13           The momentum mapping of the affine real symplectic group – Richard H Cushman (University of Calgary)*

   19           Polysymplectic Souriau Lie Group Thermodynamics – Mohamed El Morsalani (landesbank Baden-Wuerttemberg)*

   20           Polysymplectic Souriau Lie Group Thermodynamics and Entropy Geometric Structure as Casimir Invariant Function – Mohamed El Morsalani (landesbank Baden-Wuerttemberg)

   25           Twistor bundles of foliated Riemannian manifolds – Robert wolak (Uniwersytet Jagiellonski)*; Rouzbeh Mohseni (Uniwersytet Jagiellonski)

   33           Poisson geometry of the statistical Frobenius manifold. – Noemie Combe (Max Planck Institute for Maths)*

   52           Canonical Hamiltonian systems in symplectic statistical manifolds. – Michel Nguiffo Boyom (IMAG,CNRS Univ Montpellier)*

   80           Riemannian geometry of Gibbs cones associated to nilpotent orbits of simple Lie groups – Valentin Dendoncker (ICHEC); Pierre Bieliavsky (UCLouvain)*; Jérémie Pierard de Maujouy (UCLouvain); Guillaume Neuttiens (FSU Jena)

  122       Symplectic Foliation Transverse Structure & Libermann Foliation of Heat Theory and Information Geometry – Frederic Barbaresco (THALES LAND & AIR SYSTEMS)*

Geometric Methods in Mechanics and Thermodynamics - François GAY-BALMAZ et Hiroaki YOSHIMURA

   3             « A dually flat geometry for spacetime in 5d » – Jan Naudts (Universiteit Antwerpen)*

  37           Structure-preserving discretization of the Cahn-Hilliard equations recast as a port-Hamiltonian system – Antoine Bendimerad-Hohl (ISAE-SUPAERO); Ghislain Haine (ISAE-SUPAERO)*; Denis Matignon (ISAE-SUPAERO)

  71           Infinite Dimensional Lagrange–Dirac Mechanics with Boundary Conditions – Álvaro Rodríguez Abella (Instituto de Ciencias Matemáticas)*; François J. M. Gay-Balmaz (CNRS / ENS); Hiroaki Yoshimura (Waseda University)

  76           Variational integrators for stochastic Hamiltonian systems on Lie groups – François J. M. Gay-Balmaz (CNRS / ENS)*; Meng Wu (ENS)

  79           Hamiltonian variational formulation for non-simple thermodynamic systems – Hiroaki Yoshimura (Waseda University)*; François J. M. Gay-Balmaz (CNRS / ENS)

 164         Conservation laws as part of Lagrangian reduction. Application to image evolution – Marco Castrillon Lopez (Universidad Complutense de Madrid)*

 162         Madelung transform and variational approaches to molecular dynamics – Paul Bergold (University of Surrey)*; Cesare Tronci (University of Surrey)

Fluid Mechanics and Symmetry - François GAY-BALMAZ et Cesare TRONCI    

   45           Casimir-dissipation stabilized stochastic rotating shallow-water equations on the sphere – Werner Bauer (University of Surrey)*; Rüdiger Brecht (Universität Hamburg)

   56           High-order structure-preserving algorithms for plasma hybrid models – Stefan Possanner (IPP Garching)*

   64           Hydrodynamics of the probability current in Schrödinger theory – Mauro Spera (Dipartimento di Matematica e Fisica « Niccolò Tartaglia »-Università Cattolica del Sacro Cuore)*

   77           Variational geometric description for fluids with permeable boundaries – François J. M. Gay-Balmaz (CNRS / ENS)*; Meng Wu (ENS); Chris Eldred (Sandia)

  137         Lagrangian trajectories and closure models in quantum-classical dynamics – Cesare Tronci (University of Surrey)*; François J. M. Gay-Balmaz (CNRS / ENS)

  139         A discrete version of the coadjoint orbit of vortex loops – Cornelia Vizman (West University of Timisoara)*

Learning of Dynamic Processes - Lyudmila GRIGORYEVA 

 153         Expressiveness and Structure Preservation in Learning Port-Hamiltonian Systems – DAIYING YIN (Nanyang Technological University)*; Juan-Pablo Ortega (Nanyang Technological University)

 152         Signature estimation and signal recovery using Median of Means – Stephane Chretien (Universite Lyon 2)*; Remi Vaucher (Université Lyon 2)

  54           Learning Lagrangian Fluid Mechanics with E(3)-Equivariant Graph Neural Networks – Artur Petrov Toshev (Technical University of Munich)*; Gianluca Galletti (TUM); Johannes Brandstetter (Microsoft Research AI4Science); Stafan Adami (Technical University of Munich); Nikolaus Adams (Technical University of Munich)

 151         Forward and Inverse Approximation Theory for Linear Temporal Convolutional Networks – Haotian Jiang (National University of Singapore)*; Qianxiao Li (National University of Singapore)

 160         Cold-starting of reservoir systems in the forecasting of dynamical systems – Lyudmila Grigoryeva (University of St. Gallen)*; Boumediene Hamzi (Caltech); Felix P. Keneth (Johns Hopkins University); Yannis Kevrikidis (Johns Hopkins University); G Manjunath (University of Pretoria); Juan-Pablo Ortega (Nanyang Technological University); Matthys Jacobus Steynberg (University of Pretoria)

QUANTUM INFORMATION GEOMETRY

The Geometry of Quantum States - Florio M. CIAGLIA & FABIO DI COSMO

  65           Monotonicity of the Scalar Curvature of the Quantum Exponential Family for Transverse-Field Ising chains – Takemi Nakamura (Nagoya University)*

  98           Can Cencov meet Petz? – Florio M. Ciaglia (Universidad Carlos III de Madrid)*; Fabio Di Cosmo (Universidad Carlos III de Madrid); Laura González-Bravo (Universidad Carlos III de Madrid)

 149         Geometric Quantum States and Lagrangian Polar Duality: Quantum Mechanics without Wavefunctions – Maurice A de Gosson (Universität Wien)*

 150         Souriau’s Geometric Principles for Quantum Mechanics – Frederic Barbaresco (THALES LAND & AIR SYSTEMS)*

 167         New approach to quantum and nonassociative Brègman relative entropies – Ryszard P Kostecki (International Center for Theory of Quantum Technologies, University of Gdańsk)*

  14           Unitarity excess in Schwartzschild metric – Philippe Jacquet (INRIA)*; Veronique Joly (Onera Alumni)

  15           Modelling and structure-preserving discretization of the Schrödinger equation as a port-Hamiltonian system, and simulation of a controlled quantum box – Gabriel Verrier (ISAE-SUPAERO); Ghislain Haine (ISAE-SUPAERO)*; Denis Matignon (ISAE-SUPAERO)

  136         Some remarks on the notion of transition – Florio M. Ciaglia (Universidad Carlos III de Madrid); Fabio Di Cosmo (Universidad Carlos III de Madrid)*

Integrable Systems and Information Geometry (From Classical to Quantum) - Jean-Pierre FRANCOISE, Daisuke TARAMA

  24           Complete integrability of gradient systems on a manifold admitting a potential in odd dimension – Prosper Rosaire MAMA ASSANDJE (University of Maroua)*; Joseph Dongho (University of Maroua); Thomas Bouetou Bouetou (Higher national school of Polytechnic Yaounde I)

  69           Geometry-preserving Lie group integrator for differential equations on the manifold of symmetric positive definite matrices – Lucas Drumetz (IMT Atlantique)*; Alexandre Reiffers-Masson (IMT Atlantique); Naoufal El Bekri (Université de Bretagne Occidentale); Franck Vermet (Université de Bretagne Occidentale)

  70           The Hamiltonian Form of the Geodesics on the statistical model on a finite set and its integrability – Yoshio Uwano (Kyoto Pharmaceutical University)*

  109         $\alpha$-geodesic flows for statistical transformation models on compactsemi-simple Lie Groups – Daisuke Tarama (Ritsumeikan University)*; Jean-Pierre Françoise (Laboratoire Jacques-Louis Lions, Sorbonne Université)

GEOMETRY & BIOLOGICAL STRUCTURES

Neurogeometry - Alessandro Sarti & Giovanna Citti, Giovanni Petri

   57           Differential operators heterogenous in orientation and scale in the cortical $V_1$ cortex – Mattia Galeotti (Università di Bologna)*

   66           Gabor Frames and Contact structures: Signal encoding and decoding in the primary visual cortex – Vasiliki  Liontou (University of Toronto)*

  123         A sub-Riemannian model of the functional architecture of M1 for arm movement direction – Caterina Mazzetti (University of Bologna)*; Alessandro Sarti (CNRS); Giovanna Citti (University of Bologna)

  125        « Geometry of saccades and saccadic cycles » – Ilya Shirokov (PDMI RAS)*; Dmitry Alekseevsky (IITP RAS)

   135        « MacKay-type visual illusions via neural fields » – Dario Prandi (CNRS)*; Cyprien Tamekue (Université Paris-Saclay); Yacine Chitour (Université Paris-Saclay)

Bio-Molecular Structure Determination by Geometric Approaches - Antonio MUCHERINO  

  26           Pseudo-dihedral angles in proteins providing a new description of the Ramachandran map – Wagner A. A Da Rocha (Laboratoire d’Informatique de l’Ecole Polytechnique)*; Carlile Lavor (UNICAMP); Leo Liberti (CNRS/Ecole Polytechnique); Therese E Malliavin (CNRS/Universite de Lorraine)

 101         Variations of covalent geometry in proteins impacts the efficiency of distance geometry – Simon B Hengeveld (IRISA)*; Mathieu Merabti (CNRS/Universite de Lorraine ); Fabien Pascale (CNRS/Universite de Lorraine); Therese E Malliavin (CNRS/Universite de Lorraine)

 116         Exploration of conformations for an intrinsically disordered protein – Therese E Malliavin (CNRS/Universite de Lorraine)*; Shu-Yu Huang (Academia Sinica); Jung-Hsin Lin (Academia Sinica); Chi-Fon Chang (Academia Sinica)

  40           Temporal Alignment of Human Motion Data: A Geometric Point of View – Alice Barbara Tumpach (Universite Lille)*; Peter  Kán (Institut of Visual Computing and Human-centered Technology)

   5             A Linear Program for Points of Interest Relocation in Adaptive Maps – Simon B Hengeveld (IRISA); Frank Plastria (Vrije Universiteit Brussel); Antonio Mucherino (IRISA, University of Rennes)*; David A Pelta (Universidad de Granada)

Geometric Features Extraction in Medical Imaging - Stéphanie JEHAN-BESSON & Patrick Clarysse

   9             Diffeomorphic ICP registration for single and multiple point sets – Adrien Wohrer (Université Clermont Auvergne)*

  51           Chan-Vese Attention U-Net: An attention mechanism for robust segmentation.- Nicolas Makaroff (Université Paris-Dauphine PSL)*; Laurent D.  Cohen (University Paris Dauphine)

 146         Using a Riemannian elastic metric for statistical analysis of tumor cell shape heterogeneity – Wanxin Li (University of British Columbia); Ashok Prasad (Colorado State University); Nina Miolane (UCSB); Khanh Dao Duc (University of British Columbia)*

  38           Perturbation of Fiedler vector: interest for graph measures and shape analysis – Julien Lefevre (Université Aix-Marseille)*; Justine Fraize (Inserm); David Germanaud (NeuroSpin CEA Paris Saclay)

GEOMETRY & APPLICATIONS

Applied Geometric Learning - Pierre-Yves LAGRAVE, Santiago VALASCO-FORERO & Teodora PETRISOR  

   46           Generative Ornstein–Uhlenbeck Markets via Geometric Deep Learning – Anastasis Kratsios (McMaster University)*; Cody Hyndman (Concordia University)

  138         SL(2,Z)-Equivariant Machine Learning with Modular Forms Theory and Applications – Pierre-Yves  Lagrave (Undisclosed)*

  113         k-Splines on SPD manifolds – Margarida Camarinha (University of Coimbra)*; Luís Machado (University of Trás-os-Montes e Alto Douro); Fátima Silva Leite (University of Coimbra)

  35           Geometric Deep Learning: a temperature based analysis of graph neural networks – Rita Fioresi (University of Bologna)*; Francesco Faglioni (University of Modena); Michela Lapenna (University of Bologna); Ferdinando Zanchetta (University of Bologna)

Poster

41           Capra-Conjugacies Reveal Convexity in Sparsity – Jean-Philippe CHANCELIER (Ecole des Ponts ParisTech); Michel DE LARA (Ecole des Ponts ParisTech)*

115         Sampling (combinatorially interesting) polytopes – Zafeirakis Zafeirakopoulos (University of Geneva)*

17           Learning vector bundles for model order reduction in image-based digital twining – David Ryckelynck (MINES Paris PSL)*

154         Unsupervised geometric explorations of Autism fMRI brain connectomes – Adriana Haydeé Contreras Peruyero (Centro de Ciencias Matemáticas UNAM)*; Sebastian Pujalte Ojeda (Instituto de Fisiologia, UNAM); Sophie Achard (CNRS); pablo suarez-serrato (UNAM)

47           Hard Lefschetz Property in symplectic geometry – Robert wolak (Uniwersytet Jagiellonski)*; Jose Ignacio Royo Prieto ( University of the Basque Country UPV/EHU); Martintxo Saralegi-Aranguren ( Universit\’e d’Artois)

61           Entropy dissipation via Information Gamma calculus: non-reversible SDEs – Qi Feng (University of Michigan, Ann Arbor); Wuchen Li ()*

62           SymFlux: a CNN+LSTM approach for symbolic regression of Hamiltonian vector fields – Miguel Evangelista-Alvarado (National Autonomous University of Mexico (UNAM))*; pablo suarez-serrato (UNAM)

129         Linking geometry of the deep brain and clinical outcomes of DBS in Parkinson’s disease – Maha BEN SALAH (INSTITUT PASCAL)*

60           Wasserstein Barycenter-Based Model Fusion and Linear Mode Connectivity of Neural Networks – Lyudmila Grigoryeva (University of St. Gallen)*; Boumediene Hamzi (Caltech); Felix P. Keneth (Johns Hopkins University); Yannis Kevrikidis (Johns Hopkins University); G Manjunath (University of Pretoria); Juan-Pablo Ortega (Nanyang Technological University); Matthys Jacobus Steynberg (University of Pretoria)

106         Convergence of the vertical gradient flow for the Gaussian Monge problem – Erik Jansson (Chalmers University of Technology)*; Klas Modin (Chalmers University of Technology)

131         Regression on Lie Groups: application to estimation of positions of a drone –  Johan Aubray (Enac)*; Florence Nicol (ENAC); stephane puechmorel (ENAC)

48           The Riemannian Langevin equation and conic programs – Govind Menon (Brown university); Tianmin Yu (Brown university)*

85           Lipschitz constants between Riemannian metrics on the Stiefel manifold – Simon Mataigne (UCLouvain)*; P.-A. Absil (UCLouvain); Nina Miolane (UCSB)