Volume-Preserving Geometric Shape Optimization of the Dirichlet Energy Using Variational Neural Networks
Amaury Bélières--Frendo, Emmanuel Franck, Victor Michel-Dansac, Yannick Privat
Journal: Neural Networks
2025Gluing methods for quantitative stability of optimal transport maps
Cyril Letrouit, Quentin Mérigot
2025Accelerating the convergence of Newton's method for nonlinear elliptic PDEs using Fourier neural operators
Joubine Aghili, Romain Hild, Victor Michel-Dansac, Vincent Vigon, Emmanuel Franck
Journal: Communications in Nonlinear Science and Numerical Simulation
2025Computing Barycentres of Measures for Generic Transport Costs
Eloi Tanguy, Julie Delon, Nathaël Gozlan
2024Convergence Analysis of a Proximal Stochastic Denoising Regularization Algorithm
Marien Renaud, Julien Hermant, Nicolas Papadakis
2024Mirror and Preconditioned Gradient Descent in Wasserstein Space
Clément Bonet, Théo Uscidda, Adam David, Pierre-Cyril Aubin-Frankowski, Anna Korba
2024Differentiable Owen Scrambling
Bastien Doignies, David Coeurjolly, Nicolas Bonneel, Julie Digne, Jean-Claude Iehl, Victor Ostromoukhov
Journal: ACM Transactions on Graphics
2024Joint structure-texture low dimensional modeling for image decomposition with a plug and play framework
Antoine Guennec, Jean-François Aujol, Yann Traonmilin
2024Reconstructing discrete measures from projections. Consequences on the empirical Sliced Wasserstein Distance
Eloi Tanguy, Rémi Flamary, Julie Delon
Journal: Comptes Rendus. Mathématique
2024Optimization with First Order Algorithms
Charles Dossal, Samuel Hurault, Nicolas Papadakis
2024Complexity Analysis of Regularization Methods for Implicitly Constrained Least Squares
Akwum Onwunta, Clément Royer
Journal: Journal of Scientific Computing
2024Gradient correlation is needed to accelerate SGD with momentum
Julien Hermant, Marien Renaud, Jean-François Aujol, Charles Dossal, Aude Rondepierre
2024Towards optimal algorithms for the recovery of low-dimensional models with linear rates
Yann Traonmilin, Jean François Aujol, Antoine Guennec
2024Low dimensional representation of multi-patient flow cytometry datasets using optimal transport for minimal residual disease detection in leukemia
Erell Gachon, Jérémie Bigot, Elsa Cazelles, Aguirre Mimoun, Jean-Philippe Vial
2024Constrained Approximate Optimal Transport Maps
Eloi Tanguy, Agnès Desolneux, Julie Delon
2024On the sequential convergence of Lloyd's algorithms
Léo Portales, Elsa Cazelles, Edouard Pauwels
2024Study of the behaviour of Nesterov Accelerated Gradient in a non convex setting: the strongly quasar convex case
Julien Hermant, Jean-François Aujol, Charles Dossal, Aude Rondepierre
2024Plug-and-Play Posterior Sampling under Mismatched Measurement and Prior Models
Marien Renaud, Jiaming Liu, Valentin de Bortoli, Andrés Almansa, Ulugbek Kamilov
2024Discrete-to-continuous crystalline curvature flows
Antonin Chambolle, Daniele de Gennaro, Massimiliano Morini
2024Convergence of SGD for Training Neural Networks with Sliced Wasserstein Losses
Eloi Tanguy
2024Heavy Ball Momentum for Non-Strongly Convex Optimization
Jean-François Aujol, Charles Dossal, Hippolyte Labarrière, Aude Rondepierre
2024Inclusion and estimates for the jumps of minimizers in variational denoising
Antonin Chambolle, Michał Łasica
Journal: SIAM Journal on Imaging Sciences
2023Properties of Discrete Sliced Wasserstein Losses
Eloi Tanguy, Rémi Flamary, Julie Delon
Journal: Mathematics of Computation
2023Robust risk management via multi-marginal optimal transport
Quentin Mérigot, Luca Nenna, Hamza Ennaji, Brendan Pass
2022