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Ground Metric Learning on Graphs

Matthieu Heitz , Nicolas Bonneel , David Coeurjolly , Marco Cuturi , Gabriel Peyré
Journal of Mathematical Imaging and Vision, 2021, 63 (1), pp.89-107. ⟨10.1007/s10851-020-00996-z⟩
Journal articles hal-02989081v1
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Stochastic Optimization for Large-scale Optimal Transport

Aude Genevay , Marco Cuturi , Gabriel Peyré , Francis Bach
NIPS 2016 - Thirtieth Annual Conference on Neural Information Processing System, Dec 2016, Barcelona, Spain
Conference papers hal-01321664v2
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Gromov-Wasserstein Averaging of Kernel and Distance Matrices

Gabriel Peyré , Marco Cuturi , Justin Solomon
ICML 2016, Jun 2016, New-York, United States
Conference papers hal-01322992v1
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Convolutional wasserstein distances

Justin Solomon , Fernando de Goes , Gabriel Peyré , Marco Cuturi , Adrian Butscher , et al.
ACM Transactions on Graphics, 2015, 34 (4), pp.66:1-66:11. ⟨10.1145/2766963⟩
Journal articles hal-01188953v1
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Wasserstein Discriminant Analysis

Rémi Flamary , Marco Cuturi , Nicolas Courty , Alain Rakotomamonjy
Machine Learning, 2018, 107 (12), pp.1923-1945. ⟨10.1007/s10994-018-5717-1⟩
Journal articles hal-01377528v1
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Fast Optimal Transport Averaging of Neuroimaging Data

Alexandre Gramfort , Gabriel Peyré , Marco Cuturi
Information Processing in Medical Imaging (IPMI), Jun 2015, Isle of Skye, United Kingdom
Conference papers hal-01135198v1
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Debiased Sinkhorn barycenters

Hicham Janati , Marco Cuturi , Alexandre Gramfort
ICML 2020 - 37th International Conference on Machine Learning, Jul 2020, Vienna / Virtuel, Austria
Conference papers hal-03063875v1
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Multiresolution Kernels

Marco Cuturi , Kenji Fukumizu
Preprints, Working Papers, ... hal-00007489v2

Large Scale computation of Means and Clusters for Persistence Diagrams using Optimal Transport

Théo Lacombe , Marco Cuturi , Steve Oudot
NIPS, 2018, Montreal, Canada
Conference papers hal-01966674v1
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Sliced Wasserstein Kernel for Persistence Diagrams

Mathieu Carriere , Marco Cuturi , Steve Y. Oudot
International Conference on Machine Learning, Aug 2017, Sydney, Australia
Conference papers hal-01633105v1
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Wasserstein Barycentric Coordinates: Histogram Regression Using Optimal Transport

Nicolas Bonneel , Gabriel Peyré , Marco Cuturi
ACM Transactions on Graphics, 2016, 35 (4), pp.71:1--71:10. ⟨10.1145/2897824.2925918⟩
Journal articles hal-01303148v1
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Mean Reversion with a Variance Threshold

Marco Cuturi , Alexandre d'Aspremont
International Conference on Machine Learning, Jun 2013, United States. pp.271-279
Conference papers hal-00939566v1

A Smoothed Dual Approach for Variational Wasserstein Problems

Marco Cuturi , Gabriel Peyré
SIAM Journal on Imaging Sciences, 2015
Journal articles hal-01188954v1
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Spatio-Temporal Alignments: Optimal transport through space and time

Hicham Janati , Marco Cuturi , Alexandre Gramfort
Preprints, Working Papers, ... hal-02309340v2
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Optimal transport-based dictionary learning and its application to Euclid-like Point Spread Function representation

Morgan A Schmitz , Matthieu Heitz , Nicolas Bonneel , Fred Maurice Ngolè Mboula , David Coeurjolly , et al.
Wavelets and Sparsity XVII, Aug 2017, San Diego, United States. pp.103940H, ⟨10.1117/12.2270641⟩
Conference papers hal-01635342v1

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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Log-PCA versus Geodesic PCA of histograms in the Wasserstein space

Elsa Cazelles , Vivien Seguy , Jérémie Bigot , Marco Cuturi , Nicolas Papadakis
SIAM Journal on Scientific Computing, 2018, 40 (2), pp.B429-B456
Journal articles hal-01581699v2

Regularity as Regularization: Smooth and Strongly Convex Brenier Potentials in Optimal Transport

François-Pierre Paty , Alexandre d'Aspremont , Marco Cuturi
AISTATS 2020 - 23rd International Conference on Artificial Intelligence and Statistics, Jun 2020, Palermo / Virtual, Italy
Conference papers hal-02340371v1

The context-tree kernel for strings.

Marco Cuturi , Jean-Philippe Vert
Neural Networks, 2005, 18 (8), pp.1111-23. ⟨10.1016/j.neunet.2005.07.010⟩
Journal articles istex hal-00433583v1
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Iterative Bregman Projections for Regularized Transportation Problems

Jean-David Benamou , Guillaume Carlier , Marco Cuturi , Luca Nenna , Gabriel Peyré
SIAM Journal on Scientific Computing, 2015, 2 (37), pp.A1111-A1138. ⟨10.1137/141000439⟩
Journal articles hal-01096124v1
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Etude de noyaux de semigroupe pour objets structurés dans le cadre de l'apprentissage statistique

Marco Cuturi
Mathematics [math]. École Nationale Supérieure des Mines de Paris, 2005. English. ⟨NNT : ⟩
Theses pastel-00001823v1
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Wasserstein Dictionary Learning: Optimal Transport-based unsupervised non-linear dictionary learning

Morgan A Schmitz , Matthieu Heitz , Nicolas Bonneel , Fred Maurice Ngolè Mboula , David Coeurjolly , et al.
SIAM Journal on Imaging Sciences, 2018, 11 (1), pp.643-678. ⟨10.1137/17M1140431⟩
Journal articles hal-01717943v2

Computational Optimal Transport

Gabriel Peyré , Marco Cuturi
Foundations and Trends in Machine Learning, 2018, 11 (5-6), pp.355-206. ⟨10.1561/2200000073⟩
Journal articles hal-02411770v1