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A tumor growth model of Hele-Shaw type as a gradient flow

Lenaic Chizat , Simone Di Marino
ESAIM: Control, Optimisation and Calculus of Variations, 2020
Journal articles hal-02997871v1
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Overrelaxed Sinkhorn-Knopp Algorithm for Regularized Optimal Transport

Alexis Thibault , Lenaic Chizat , Charles H Dossal , Nicolas Papadakis
NIPS Workshop on Optimal Transport & Machine Learning (OTML'17), Dec 2017, Long Beach, United States
Conference papers hal-01629985v1
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Faster Wasserstein Distance Estimation with the Sinkhorn Divergence

Lenaic Chizat , Pierre Roussillon , Flavien Léger , François-Xavier Vialard , Gabriel Peyré
Neural Information Processing Systems, Dec 2020, Vancouver, Canada
Conference papers hal-02867271v2
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On Lazy Training in Differentiable Programming

Lenaic Chizat , Edouard Oyallon , Francis Bach
NeurIPS 2019 - 33rd Conference on Neural Information Processing Systems, Dec 2019, Vancouver, Canada. pp.2937-2947
Conference papers hal-01945578v6
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HexaShrink, an exact scalable framework for hexahedral meshes with attributes and discontinuities: multiresolution rendering and storage of geoscience models

Jean-Luc Peyrot , Laurent Duval , Frédéric Payan , Lauriane Bouard , Lenaic Chizat , et al.
Computational Geosciences, 2019, 23 (4), pp.723-743. ⟨10.1007/s10596-019-9816-2⟩
Journal articles hal-01857997v3
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Implicit Bias of Gradient Descent for Wide Two-layer Neural Networks Trained with the Logistic Loss

Lenaic Chizat , Francis Bach
COLT 2020 - 33rd Annual Conference on Learning Theory, Jul 2020, Graz / Virtual, Austria. pp.1305-1338
Conference papers hal-02473847v4
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Unbalanced Optimal Transport : Models, Numerical Methods, Applications

Lenaic Chizat
Numerical Analysis [math.NA]. Université Paris sciences et lettres, 2017. English. ⟨NNT : 2017PSLED063⟩
Theses tel-01881166v1

An Interpolating Distance between Optimal Transport and Fisher-Rao

Lenaic Chizat , Gabriel Peyré , Bernhard Schmitzer , François-Xavier Vialard
Foundations of Computational Mathematics, 2010
Journal articles hal-01271984v1
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On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport

Lenaic Chizat , Francis Bach
Advances in Neural Information Processing Systems (NIPS), Dec 2018, Montréal, Canada
Conference papers hal-01798792v2

Sample Complexity of Sinkhorn divergences

Aude Genevay , Lenaic Chizat , Francis Bach , Marco Cuturi , Gabriel Peyré
AISTATS'19 - 22nd International Conference on Artificial Intelligence and Statistics, Apr 2019, Okinawa, Japan
Conference papers hal-02411822v1
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Sparse Optimization on Measures with Over-parameterized Gradient Descent

Lenaic Chizat
Preprints, Working Papers, ... hal-02190822v2

Scaling Algorithms for Unbalanced Transport Problems

Lenaic Chizat , Gabriel Peyré , Bernhard Schmitzer , François-Xavier Vialard
Preprints, Working Papers, ... hal-01434914v1

Quantum entropic regularization of matrix-valued optimal transport

Gabriel Peyré , Lenaic Chizat , François-Xavier Vialard , Justin Solomon
European Journal of Applied Mathematics, 2019, 30 (6), pp.1079-1102. ⟨10.1017/S0956792517000274⟩
Journal articles hal-02411783v1

Unbalanced Optimal Transport: Geometry and Kantorovich Formulation

Lenaic Chizat , Gabriel Peyré , Bernhard Schmitzer , François-Xavier Vialard
Preprints, Working Papers, ... hal-01271981v1