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Unbalanced Optimal Transport, from Theory to Numerics

16 November 2022

Thibault Séjourné

Gabriel Peyré

Franccois-Xavier Vialard

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Papers citing "Unbalanced Optimal Transport, from Theory to Numerics"

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Title
Model alignment using inter-modal bridges Ali Gholamzadeh Noor Sajid 209 0 0 18 May 2025
A primer on optimal transport for causal inference with observational data Florian F Gunsilius OT CML 115 0 0 10 Mar 2025
Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport Milena Gazdieva Jaemoo Choi Alexander Kolesov Jaewoong Choi Petr Mokrov Alexander Korotin OT 139 2 0 04 Oct 2024
Randomized Transport Plans via Hierarchical Fully Probabilistic Design Sarah Boufelja Anthony Quinn Robert Shorten OT 93 0 0 04 Aug 2024
Stability and upper bounds for statistical estimation of unbalanced transport potentials A. Vacher Franccois-Xavier Vialard OT 51 4 0 17 Mar 2022
Generative Adversarial Networks Gilad Cohen Raja Giryes GAN 280 30,103 0 01 Mar 2022
Empirical Optimal Transport between Different Measures Adapts to Lower Complexity Shayan Hundrieser Thomas Staudt Axel Munk OT 61 23 0 21 Feb 2022
Improving Molecular Representation Learning with Metric Learning-enhanced Optimal Transport Fang Wu Nicolas Courty Shuting Jin Stan Z. Li OOD OT 58 8 0 13 Feb 2022
Faster Unbalanced Optimal Transport: Translation invariant Sinkhorn and 1-D Frank-Wolfe Thibault Séjourné Franccois-Xavier Vialard Gabriel Peyré OT 114 19 0 03 Jan 2022
Semi-relaxed Gromov-Wasserstein divergence with applications on graphs Cédric Vincent-Cuaz Rémi Flamary Marco Corneli Titouan Vayer Nicolas Courty OT 74 23 0 06 Oct 2021
Unsupervised Domain Adaptation for LiDAR Panoptic Segmentation Borna Bevsić Nikhil Gosala Daniele Cattaneo Abhinav Valada 62 22 0 30 Sep 2021
Fast and Scalable Optimal Transport for Brain Tractograms Jean Feydy Pierre Roussillon A. Trouvé Pietro Gori OT 58 27 0 05 Jul 2021
Unbalanced Optimal Transport through Non-negative Penalized Linear Regression Laetitia Chapel Rémi Flamary Haoran Wu Cédric Févotte Gilles Gasso OT 26 46 0 08 Jun 2021
Linear-Time Gromov Wasserstein Distances using Low Rank Couplings and Costs M. Scetbon Gabriel Peyré Marco Cuturi OT 65 61 0 02 Jun 2021
LCDNet: Deep Loop Closure Detection and Point Cloud Registration for LiDAR SLAM Daniele Cattaneo Matteo Vaghi Abhinav Valada 3DPC 65 164 0 08 Mar 2021
Unbalanced minibatch Optimal Transport; applications to Domain Adaptation Kilian Fatras Thibault Séjourné Nicolas Courty Rémi Flamary OT 78 151 0 05 Mar 2021
The Unbalanced Gromov Wasserstein Distance: Conic Formulation and Relaxation Thibault Séjourné François-Xavier Vialard Gabriel Peyré OT 72 71 0 09 Sep 2020
Kernel methods through the roof: handling billions of points efficiently Giacomo Meanti Luigi Carratino Lorenzo Rosasco Alessandro Rudi 75 116 0 18 Jun 2020
Entropic Optimal Transport between Unbalanced Gaussian Measures has a Closed Form H. Janati Boris Muzellec Gabriel Peyré Marco Cuturi OT 108 86 0 03 Jun 2020
Open Graph Benchmark: Datasets for Machine Learning on Graphs Weihua Hu Matthias Fey Marinka Zitnik Yuxiao Dong Hongyu Ren Bowen Liu Michele Catasta J. Leskovec 306 2,732 0 02 May 2020
Learning Autoencoders with Relational Regularization Hongteng Xu Dixin Luo Ricardo Henao Svati Shah Lawrence Carin 52 42 0 07 Feb 2020
Sinkhorn Divergences for Unbalanced Optimal Transport Thibault Séjourné Jean Feydy Franccois-Xavier Vialard A. Trouvé Gabriel Peyré OT 78 74 0 28 Oct 2019
Gromov-Wasserstein Averaging in a Riemannian Framework Samir Chowdhury Tom Needham 47 36 0 10 Oct 2019
Sparse Optimization on Measures with Over-parameterized Gradient Descent Lénaïc Chizat 62 93 0 24 Jul 2019
GOT: An Optimal Transport framework for Graph comparison Hermina Petric Maretic Mireille El Gheche Giovanni Chierchia P. Frossard OT 134 119 0 05 Jun 2019
Statistical bounds for entropic optimal transport: sample complexity and the central limit theorem Gonzalo E. Mena Jonathan Niles-Weed OT 52 166 0 28 May 2019
Sliced Gromov-Wasserstein Titouan Vayer Rémi Flamary Romain Tavenard Laetitia Chapel Nicolas Courty OT 52 100 0 24 May 2019
Subspace Detours: Building Transport Plans that are Optimal on Subspace Projections Boris Muzellec Marco Cuturi OT 58 31 0 24 May 2019
Scalable Gromov-Wasserstein Learning for Graph Partitioning and Matching Hongteng Xu Dixin Luo Lawrence Carin 60 197 0 18 May 2019
Learning Generative Models across Incomparable Spaces Charlotte Bunne David Alvarez-Melis Andreas Krause Stefanie Jegelka GAN 55 112 0 14 May 2019
Global convergence of neuron birth-death dynamics Grant M. Rotskoff Samy Jelassi Joan Bruna Eric Vanden-Eijnden 41 46 0 05 Feb 2019
Gromov-Wasserstein Learning for Graph Matching and Node Embedding Hongteng Xu Dixin Luo H. Zha Lawrence Carin 89 259 0 17 Jan 2019
A Comprehensive Survey on Graph Neural Networks Zonghan Wu Shirui Pan Fengwen Chen Guodong Long Chengqi Zhang Philip S. Yu FaML GNN AI4TS AI4CE 778 8,533 0 03 Jan 2019
Fused Gromov-Wasserstein distance for structured objects: theoretical foundations and mathematical properties David Tellez G. Litjens J. A. van der Laak R. Tavenard F. Ciompi OT 80 127 0 07 Nov 2018
Interpolating between Optimal Transport and MMD using Sinkhorn Divergences Jean Feydy Thibault Séjourné François-Xavier Vialard S. Amari A. Trouvé Gabriel Peyré OT 61 528 0 18 Oct 2018
Sample Complexity of Sinkhorn divergences Aude Genevay Lénaïc Chizat Francis R. Bach Marco Cuturi Gabriel Peyré OT 77 288 0 05 Oct 2018
Gromov-Wasserstein Alignment of Word Embedding Spaces David Alvarez-Melis Tommi Jaakkola OT 56 328 0 31 Aug 2018
Towards Optimal Transport with Global Invariances David Alvarez-Melis Stefanie Jegelka Tommi Jaakkola OT 65 71 0 25 Jun 2018
FlowNet3D: Learning Scene Flow in 3D Point Clouds Xingyu Liu C. Qi Leonidas Guibas 3DPC 88 480 0 04 Jun 2018
Unsupervised Alignment of Embeddings with Wasserstein Procrustes Edouard Grave Armand Joulin Quentin Berthet 69 199 0 29 May 2018
On the Global Convergence of Gradient Descent for Over-parameterized Models using Optimal Transport Lénaïc Chizat Francis R. Bach OT 212 735 0 24 May 2018
Improving GANs Using Optimal Transport Tim Salimans Han Zhang Alec Radford Dimitris N. Metaxas OT GAN 67 324 0 15 Mar 2018
Computational Optimal Transport Gabriel Peyré Marco Cuturi OT 222 2,148 0 01 Mar 2018
Smooth and Sparse Optimal Transport Mathieu Blondel Vivien Seguy Antoine Rolet OT 61 175 0 17 Oct 2017
Sharp asymptotic and finite-sample rates of convergence of empirical measures in Wasserstein distance Jonathan Niles-Weed Francis R. Bach 208 421 0 01 Jul 2017
Learning Generative Models with Sinkhorn Divergences Aude Genevay Gabriel Peyré Marco Cuturi OT 176 630 0 01 Jun 2017
FALKON: An Optimal Large Scale Kernel Method Alessandro Rudi Luigi Carratino Lorenzo Rosasco 78 196 0 31 May 2017
The Cramer Distance as a Solution to Biased Wasserstein Gradients Marc G. Bellemare Ivo Danihelka Will Dabney S. Mohamed Balaji Lakshminarayanan Stephan Hoyer Rémi Munos GAN 74 344 0 30 May 2017
Joint Distribution Optimal Transportation for Domain Adaptation Nicolas Courty Rémi Flamary Amaury Habrard A. Rakotomamonjy OT OOD 88 564 0 24 May 2017
MMD GAN: Towards Deeper Understanding of Moment Matching Network Chun-Liang Li Wei-Cheng Chang Yu Cheng Yiming Yang Barnabás Póczós GAN 66 723 0 24 May 2017