Numerical Optimal tRansport for ImAging

Project Information

NORIA

Grant agreement ID: 724175

DOI 10.3030/724175

Project closed

EC signature date 15 February 2017

Start date 1 October 2017

End date 30 September 2023

Funded under

• EXCELLENT SCIENCE - European Research Council (ERC)

Total cost € 1 996 720,00

EU contribution € 1 996 720,00

Coordinated by

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
France

Publications

Conference proceedings (13)

Entropic Optimal Transport between Unbalanced Gaussian Measures has a Closed Form

Author(s): Hicham Janati, Boris Muzellec, Gabriel Peyré, Marco Cuturi
Published in: Proc. Neurips 2020, 2020
Publisher: Neurips

Wasserstein Control of Mirror Langevin Monte Carlo

Author(s): Kelvin Shuangjian Zhang, Gabriel Peyré, Jalal Fadili, Marcelo Pereyra
Published in: PMLR, Issue 125, 2020, Page(s) 3814-3841
Publisher: PMLR

Unsupervised Ground Metric Learning using Wasserstein Eigenvectors

Author(s): G-J. Huizing, L. Cantini, G. Peyré
Published in: Proc. ICML'22, 2022
Publisher: ICML

Faster Wasserstein Distance Estimation with the Sinkhorn Divergence

Author(s): Lénaïc Chizat, Pierre Roussillon, Flavien Léger, François-Xavier Vialard, Gabriel Peyré
Published in: Proc. Neurips 2020, 2020
Publisher: Neurips

Support localization and the fisher metric for off-the-grid sparse regularization

Author(s): C. Poon, N. Keriven, G. Peyré
Published in: Proc AISTATS 2019, 2019
Publisher: AISTATS

Model Consistency for Learning with Mirror-Stratifiable Regularizers

Author(s): J. Fadili, G. Garrigos, J. Malick, G. Peyré
Published in: Proc AISTATS2019, 2019
Publisher: AISTATS

Sample Complexity of Sinkhorn divergences

Author(s): A. Genevay, L. Chizat, F. Bach, M. Cuturi, G. Peyré
Published in: Proc AISTATS2019, 2019
Publisher: AISTATS

Geometric Losses for Distributional Learning

Author(s): A. Mensch, M. Blondel, G. Peyré
Published in: Proc. ICML'19, 2019
Publisher: ICML

Super-efficiency of automatic differentiation for functions defined as a minimum

Author(s): Pierre Ablin, Gabriel Peyré, Thomas Moreau
Published in: PMLR, Issue 119, 2020, Page(s) 32-41
Publisher: PMLR

Sinkformers: Transformers with Doubly Stochastic Attention

Author(s): M. E. Sander, P. Ablin, M. Blondel, G. Peyré
Published in: Proc. AISTATS 2022, 2022
Publisher: AISTATS

Online Sinkhorn: Optimal Transport distances from sample streams

Author(s): Arthur Mensch, Gabriel Peyré
Published in: Proc. Neurips 2020, 2020
Publisher: Neurips

Momentum Residual Neural Networks

Author(s): M. E. Sander, P. Ablin, M. Blondel, G. Peyré
Published in: Proc. ICML'21, 2021
Publisher: ICML

Enhancing Hypergradients Estimation: A Study of Preconditioning and Reparameterization

Author(s): Z. Ye and G. Peyré and D. Cremers and P. Ablin
Published in: Proc. AISTATS'24, 2024
Publisher: AISTATS

Peer reviewed articles (11)

Ground Metric Learning on Graphs

Author(s): Matthieu Heitz, Nicolas Bonneel, David Coeurjolly, Marco Cuturi, Gabriel Peyré
Published in: J Math Imaging Vis, 2020, ISSN 0924-9907
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10851-020-00996-z

Optimal Transport improves cell-cell similarity inference in single-cell omics data

Author(s): Geert-Jan Huizing, Gabriel Peyré, Laura Cantini
Published in: Bioinformatics, 2022, Page(s) 2169–2177, ISSN 1367-4803
Publisher: Oxford University Press
DOI: 10.1093/bioinformatics/btac084

Sensitivity Analysis for Mirror-Stratifiable Convex Functions

Author(s): Jalal Fadili, Jérôme Malick, Gabriel Peyré
Published in: SIAM Journal on Optimization, Issue 28/4, 2018, Page(s) 2975-3000, ISSN 1052-6234
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m113825x

Semidual Regularized Optimal Transport

Author(s): Marco Cuturi, Gabriel Peyré
Published in: SIAM Review, Issue 60/4, 2018, Page(s) 941-965, ISSN 0036-1445
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1208654

Unbalanced optimal transport: Dynamic and Kantorovich formulations

Author(s): Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard
Published in: Journal of Functional Analysis, Issue 274/11, 2018, Page(s) 3090-3123, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.1016/j.jfa.2018.03.008

Local linear convergence analysis of Primal–Dual splitting methods

Author(s): Jingwei Liang, Jalal Fadili, Gabriel Peyré
Published in: Optimization, Issue 67/6, 2018, Page(s) 821-853, ISSN 0233-1934
Publisher: Taylor & Francis
DOI: 10.1080/02331934.2018.1426584

An Interpolating Distance Between Optimal Transport and Fisher–Rao Metrics

Author(s): Lénaïc Chizat, Gabriel Peyré, Bernhard Schmitzer, François-Xavier Vialard
Published in: Foundations of Computational Mathematics, Issue 18/1, 2018, Page(s) 1-44, ISSN 1615-3375
Publisher: Springer Verlag
DOI: 10.1007/s10208-016-9331-y

Computational Optimal Transport

Author(s): Gabriel Peyré, Marco Cuturi
Published in: Foundations and Trends® in Machine Learning, Issue 11/5-6, 2018, Page(s) 355-206, ISSN 1935-8237
Publisher: Now Publishers Inc.
DOI: 10.1561/2200000073

MultiDimensional Sparse Super-Resolution

Author(s): Clarice Poon, Gabriel Peyré
Published in: SIAM Journal on Mathematical Analysis, Issue 51/1, 2019, Page(s) 1-44, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/17m1147822

A Low-Rank Approach to Off-the-Grid Sparse Superresolution

Author(s): Paul Catala, Vincent Duval, Gabriel Peyré
Published in: SIAM Journal on Imaging Sciences, Issue 12/3, 2019, Page(s) 1464-1500, ISSN 1936-4954
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m124071x

The sliding Frank–Wolfe algorithm and its application to super-resolution microscopy

Author(s): Quentin Denoyelle, Vincent Duval, Gabriel Peyré, Emmanuel Soubies
Published in: Inverse Problems, Issue 36/1, 2020, Page(s) 014001, ISSN 0266-5611
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6420/ab2a29