Lénaïc Chizat
Lénaïc Chizat
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On Lazy Training in Differentiable Programming
L Chizat, E Oyallon, F Bach
Advances in Neural Information Processing Systems, 2937-2947, 2019
On the global convergence of gradient descent for over-parameterized models using optimal transport
L Chizat, F Bach
Advances in Neural Information Processing Systems, 3036-3046, 2018
Scaling algorithms for unbalanced optimal transport problems
L Chizat, G Peyré, B Schmitzer, FX Vialard
Mathematics of Computation 87 (314), 2563–2609, 2018
Implicit bias of gradient descent for wide two-layer neural networks trained with the logistic loss
L Chizat, F Bach
Proceedings of Thirty Third Conference on Learning Theory 125, 1305-1338, 2020
Sample complexity of Sinkhorn divergences
A Genevay, L Chizat, F Bach, M Cuturi, G Peyré
International Conference on Artificial Intelligence and Statistics, 1574-1583, 2019
Unbalanced optimal transport: Dynamic and Kantorovich formulations
L Chizat, G Peyré, B Schmitzer, FX Vialard
Journal of Functional Analysis 274 (11), 3090-3123, 2018
An interpolating distance between optimal transport and Fisher–Rao metrics
L Chizat, G Peyré, B Schmitzer, FX Vialard
Foundations of Computational Mathematics 18, 1-44, 2018
Faster Wasserstein distance estimation with the Sinkhorn divergence
L Chizat, P Roussillon, F Léger, FX Vialard, G Peyré
Advances in Neural Information Processing Systems 33, 2257-2269, 2020
Sparse optimization on measures with over-parameterized gradient descent
L Chizat
Mathematical Programming, 1-46, 2021
Statistical and topological properties of sliced probability divergences
K Nadjahi, A Durmus, L Chizat, S Kolouri, S Shahrampour, U Simsekli
Advances in Neural Information Processing Systems 33, 20802-20812, 2020
Mean-field langevin dynamics: Exponential convergence and annealing
L Chizat
arXiv preprint arXiv:2202.01009, 2022
Quantum entropic regularization of matrix-valued optimal transport
G Peyré, L Chizat, FX Vialard, J Solomon
European Journal of Applied Mathematics 30 (6), 1079-1102, 2019
Overrelaxed Sinkhorn–Knopp algorithm for regularized optimal transport
A Thibault, L Chizat, C Dossal, N Papadakis
Algorithms 14 (5), 143, 2021
Unbalanced Optimal Transport: Models, Numerical Methods, Applications
L Chizat
Université Paris Dauphine - PSL, 2017
A tumor growth model of Hele-Shaw type as a gradient flow
S Di Marino, L Chizat
ESAIM: Control, Optimisation and Calculus of Variations 26, 103, 2020
Gradient descent on infinitely wide neural networks: Global convergence and generalization
F Bach, L Chizat
arXiv preprint arXiv:2110.08084, 2021
Convergence rates of gradient methods for convex optimization in the space of measures
L Chizat
Open Journal of Mathematical Optimization 3, 1-19, 2022
Trajectory Inference via Mean-field Langevin in Path Space
L Chizat, S Zhang, M Heitz, G Schiebinger
arXiv preprint arXiv:2205.07146, 2022
Infinite‐width limit of deep linear neural networks
L Chizat, M Colombo, X Fernández‐Real, A Figalli
Communications on Pure and Applied Mathematics, 2022
Doubly regularized entropic Wasserstein barycenters
L Chizat
arXiv preprint arXiv:2303.11844, 2023
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