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Parameter tuning and model selection in optimal transport with semi-dual Brenier formulation

 Adrien Vacher , François-Xavier Vialard
NeurIPS, 2022, New Orleans, France
Communication dans un congrès hal-03475455v2
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Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric

 François-Xavier Vialard
Mathematics of Shapes and Applications, p. 1 - 14, 2019, ⟨10.1142/9789811200137_0001⟩
Chapitre d'ouvrage hal-01682108v1
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Near-optimal estimation of smooth transport maps with kernel sums-of-squares

 Boris Muzellec , Adrien Vacher , Francis Bach , François-Xavier Vialard , Alessandro Rudi
SIAM Journal on Mathematics of Data Science, In press
Article dans une revue hal-03466696v1
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Semi-Dual Unbalanced Quadratic Optimal Transport: Fast Statistical Rates and Convergent Algorithm

 Adrien Vacher , François-Xavier Vialard
ICML, Mar 2023, Hawaii, USA, United States
Communication dans un congrès hal-03609629v2

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces

 Virginie Ehrlacher , Damiano Lombardi , Olga Mula , François-Xavier Vialard
ESAIM: Mathematical Modelling and Numerical Analysis, 2020, 54 (6), pp.2159-2197. ⟨10.1051/m2an/2020013⟩
Article dans une revue hal-02290431v1
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A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation

 Adrien Vacher , Boris Muzellec , Alessandro Rudi , Francis Bach , François-Xavier Vialard
COLT 2021 - 34th Annual Conference on Learning Theory, Aug 2021, Boulder, United States
Communication dans un congrès hal-03454237v1
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On the global convergence of Wasserstein gradient flow of the Coulomb discrepancy

 Siwan Boufadène , François-Xavier Vialard
2024
Pré-publication, Document de travail hal-04282762v2

A geometric Laplace method

 Flavien Léger , François-Xavier Vialard
Pure and Applied Analysis, 2023, 5 (4), pp.1041-1080. ⟨10.2140/paa.2023.5.1041⟩
Article dans une revue hal-03911149v1
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Metric completion of $Diff([0,1])$ with the $H1$ right-invariant metric

 Simone Di Marino , Andrea Natale , Rabah Tahraoui , François-Xavier Vialard
2019
Pré-publication, Document de travail hal-02161686v1
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Second order models for optimal transport and cubic splines on the Wasserstein space

 Jean-David Benamou , Thomas Gallouët , François-Xavier Vialard
Foundations of Computational Mathematics, 2019, ⟨10.1007/s10208-019-09425-z⟩
Article dans une revue hal-01682107v2
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Generalized compressible flows and solutions of the H(div) geodesic problem

 Thomas Gallouët , Andrea Natale , François-Xavier Vialard
Archive for Rational Mechanics and Analysis, 2020, 235, pp.1707-1762. ⟨10.1007/s00205-019-01453-x⟩
Article dans une revue hal-01815531v3
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