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ORCID6th GSI 2021: Paris, France - Part II
- Frank Nielsen
, Frédéric Barbaresco:
Geometric Science of Information - 6th International Conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, Proceedings, Part II. Lecture Notes in Computer Science 14072, Springer 2023, ISBN 978-3-031-38298-7
Geometric Mechanics
- Zdravko Terze, Dario Zlatar, Marko Kasalo, Marijan Andric:
Lie Group Quaternion Attitude-Reconstruction of Quadrotor UAV. 3-11 - Géry de Saxcé:
A Variational Principle of Minimum for Navier-Stokes Equation Based on the Symplectic Formalism. 12-21 - François Dubois, Juan Antonio Rojas Quintero:
A Variational Symplectic Scheme Based on Simpson's Quadrature. 22-31 - Eric Bergshoeff:
Generalized Galilean Geometries. 32-40 - Mewen Crespo, Guy Casale, Loïc Le Marrec:
Continuum Mechanics of Defective Media: An Approach Using Fiber Bundles. 41-49 - Baptiste Coquinot, Pau Mir, Eva Miranda:
Singular Cotangent Models in Fluids with Dissipation. 50-59 - Tianzhi Li, Jinzhi Wang:
Multisymplectic Unscented Kalman Filter for Geometrically Exact Beams. 60-68 - Christian Y. Cardall:
Towards Full 'Galilei General Relativity': Bargmann-Minkowski and Bargmann-Galilei Spacetimes. 69-78
New trends in Nonholonomic Systems
- Leonardo Colombo, Jacob R. Goodman:
Existence of Global Minimizer for Elastic Variational Obstacle Avoidance Problems on Riemannian Manifolds. 81-88 - Efstratios Stratoglou, Alexandre Anahory Simoes, Anthony M. Bloch, Leonardo Colombo:
Virtual Affine Nonholonomic Constraints. 89-96 - Alexandre Anahory Simoes, Leonardo Colombo:
Nonholonomic Systems with Inequality Constraints. 97-104 - Manuel de León, Manuel Lainz, Asier López-Gordón, Juan Carlos Marrero:
Nonholonomic Brackets: Eden Revisited. 105-112
Symplectic Structures of Heat and Information Geometry
- Richard Cushman:
The Momentum Mapping of the Affine Real Symplectic Group. 115-123 - Mohamed El Morsalani:
Polysymplectic Souriau Lie Group Thermodynamics and the Geometric Structure of Its Coadjoint Orbits. 124-133 - Mohamed El Morsalani:
Polysymplectic Souriau Lie Group Thermodynamics and Entropy Geometric Structure as Casimir Invariant Function. 134-143 - Pierre Bieliavsky, Valentin Dendoncker, Guillaume Neuttiens, Jérémie Pierard de Maujouy:
Riemannian Geometry of Gibbs Cones Associated to Nilpotent Orbits of Simple Lie Groups. 144-151 - Frédéric Barbaresco:
Symplectic Foliation Transverse Structure and Libermann Foliation of Heat Theory and Information Geometry. 152-164 - Noemie Combe, Philippe Combe, Hanna Nencka:
Poisson Geometry of the Statistical Frobenius Manifold. 165-172 - Michel Nguiffo Boyom:
Canonical Hamiltonian Systems in Symplectic Statistical Manifolds. 173-180
Geometric Methods in Mechanics and Thermodynamics
- Jan Naudts:
A Dually Flat Geometry for Spacetime in 5d. 183-191 - Antoine Bendimerad-Hohl, Ghislain Haine, Denis Matignon:
Structure-preserving Discretization of the Cahn-Hilliard Equations Recast as a Port-Hamiltonian System. 192-201 - Álvaro Rodríguez Abella, François Gay-Balmaz, Hiroaki Yoshimura:
Infinite Dimensional Lagrange-Dirac Mechanics with Boundary Conditions. 202-211 - Meng Wu, François Gay-Balmaz:
Variational Integrators for Stochastic Hamiltonian Systems on Lie Groups. 212-220 - Hiroaki Yoshimura, François Gay-Balmaz:
Hamiltonian Variational Formulation for Non-simple Thermodynamic Systems. 221-230 - Paul Bergold, Cesare Tronci:
Madelung Transform and Variational Asymptotics in Born-Oppenheimer Molecular Dynamics. 231-241 - Marco Castrillón López:
Conservation Laws as Part of Lagrangian Reduction. Application to Image Evolution. 242-250
Fluid Mechanics and Symmetry
- Werner Bauer, Rüdiger Brecht:
Casimir-Dissipation Stabilized Stochastic Rotating Shallow Water Equations on the Sphere. 253-262 - Stefan Possanner, Florian Holderied, Yingzhe Li, Byung Kyu Na, Dominik Bell, Said Hadjout, Yaman Güçlü:
High-Order Structure-Preserving Algorithms for Plasma Hybrid Models. 263-271 - Mauro Spera:
Hydrodynamics of the Probability Current in Schrödinger Theory. 272-281 - François Gay-Balmaz, Meng Wu, Chris Eldred:
Variational Geometric Description for Fluids with Permeable Boundaries. 282-289 - Cesare Tronci, François Gay-Balmaz:
Lagrangian Trajectories and Closure Models in Mixed Quantum-Classical Dynamics. 290-300 - Cornelia Vizman:
A Discrete Version for Vortex Loops in 2D Fluids. 301-309
Learning of Dynamic Processes
- Juan-Pablo Ortega, Daiying Yin:
Expressiveness and Structure Preservation in Learning Port-Hamiltonian Systems. 313-322 - Stéphane Chrétien, Rémi Vaucher:
Signature Estimation and Signal Recovery Using Median of Means. 323-331 - Artur P. Toshev, Gianluca Galletti, Johannes Brandstetter, Stefan Adami, Nikolaus A. Adams:
Learning Lagrangian Fluid Mechanics with E(3)-Equivariant Graph Neural Networks. 332-341 - Haotian Jiang, Qianxiao Li:
Forward and Inverse Approximation Theory for Linear Temporal Convolutional Networks. 342-350
The Geometry of Quantum States
- Takemi Nakamura:
Monotonicity of the Scalar Curvature of the Quantum Exponential Family for Transverse-Field Ising Chains. 353-362 - Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo:
Can Čencov Meet Petz. 363-371 - Frédéric Barbaresco:
Souriau's Geometric Principles for Quantum Mechanics. 372-381 - Philippe Jacquet, Véronique Joly:
Unitarity Excess in Schwartzschild Metric. 382-391 - Gabriel Verrier, Ghislain Haine, Denis Matignon:
Modelling and Structure-Preserving Discretization of the Schrödinger as a Port-Hamiltonian System, and Simulation of a Controlled Quantum Box. 392-401 - Florio M. Ciaglia, Fabio Di Cosmo:
Some Remarks on the Notion of Transition. 402-411 - Maurice A. de Gosson:
Geometric Quantum States and Lagrangian Polar Duality: Quantum Mechanics Without Wavefunctions. 412-419
Integrable Systems and Information Geometry (From Classical to Quantum)
- Prosper Rosaire Mama Assandje, Joseph Dongho, Thomas Bouétou Bouétou:
Complete Integrability of Gradient Systems on a Manifold Admitting a Potential in Odd Dimension. 423-432 - Lucas Drumetz, Alexandre Reiffers-Masson, Naoufal El Bekri, Franck Vermet:
Geometry-Preserving Lie Group Integrators for Differential Equations on the Manifold of Symmetric Positive Definite Matrices. 433-443 - Yoshio Uwano:
The Phase Space Description of the Geodesics on the Statistical Model on a Finite Set - - Trajectory-Confinement and Integrability -. 444-453 - Daisuke Tarama, Jean-Pierre Françoise:
Geodesic Flows of α-connections for Statistical Transformation Models on a Compact Lie Group. 454-462
Neurogeometry
- Mattia Galeotti, Giovanna Citti, Alessandro Sarti:
Differential Operators Heterogenous in Orientation and Scale in the V1 Cortex. 465-473 - Vasiliki Liontou:
Gabor Frames and Contact Structures: Signal Encoding and Decoding in the Primary Visual Cortex. 474-482 - Caterina Mazzetti, Alessandro Sarti, Giovanna Citti:
A Sub-Riemannian Model of the Functional Architecture of M1 for Arm Movement Direction. 483-492 - Dmitri Alekseevsky, I. M. Shirokov:
Geometry of Saccades and Saccadic Cycles. 493-500 - Cyprien Tamekue, Dario Prandi, Yacine Chitour:
MacKay-Type Visual Illusions via Neural Fields. 501-508
Bio-Molecular Structure Determination by Geometric Approaches
- Wagner Rocha, Carlile Lavor, Leo Liberti, Thérèse E. Malliavin:
Pseudo-dihedral Angles in Proteins Providing a New Description of the Ramachandran Map. 511-519 - Simon B. Hengeveld, Mathieu Merabti, Fabien Pascale, Thérèse E. Malliavin:
A Study on the Covalent Geometry of Proteins and Its Impact on Distance Geometry. 520-530 - Shu-Yu Huang, Chi-Fon Chang, Jung-Hsin Lin, Thérèse E. Malliavin:
Exploration of Conformations for an Intrinsically Disordered Protein. 531-540 - Alice Barbara Tumpach, Peter Kán:
Temporal Alignment of Human Motion Data: A Geometric Point of View. 541-550 - Simon B. Hengeveld, F. Plastria, Antonio Mucherino, David A. Pelta:
A Linear Program for Points of Interest Relocation in Adaptive Maps. 551-559
Geometric Features Extraction in Medical Imaging
- Adrien Wohrer:
Diffeomorphic ICP Registration for Single and Multiple Point Sets. 563-573 - Nicolas Makaroff, Laurent D. Cohen:
Chan-Vese Attention U-Net: An Attention Mechanism for Robust Segmentation. 574-582 - Wanxin Li, Ashok Prasad, Nina Miolane, Khanh Dao Duc:
Using a Riemannian Elastic Metric for Statistical Analysis of Tumor Cell Shape Heterogeneity. 583-592 - Julien Lefèvre, Justine Fraize, David Germanaud:
Perturbation of Fiedler Vector: Interest for Graph Measures and Shape Analysis. 593-601
Applied Geometric Learning
- Anastasis Kratsios, Cody B. Hyndman:
Generative OrnsteinUhlenbeck Markets via Geometric Deep Learning. 605-614 - Pierre-Yves Lagrave:
${{\,\textrm{SL}\,}}(2,\mathbb {Z})$-Equivariant Machine Learning with Modular Forms Theory and Applications. 615-623 - Margarida Camarinha, Luís Machado, Fátima Silva Leite:
K-Splines on SPD Manifolds. 624-633 - Michela Lapenna, Francesco Faglioni, Ferdinando Zanchetta, Rita Fioresi:
Geometric Deep Learning: A Temperature Based Analysis of Graph Neural Networks. 634-643
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