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Principal Geodesic Analysis for Probability Measures under the Optimal Transport Metric

Neural Information Processing Systems (NeurIPS), 2025

26 June 2015

Vivien Seguy

Marco Cuturi

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Papers citing "Principal Geodesic Analysis for Probability Measures under the Optimal Transport Metric"

35 / 35 papers shown

Title
On the Wasserstein Geodesic Principal Component Analysis of probability measures Nina Vesseron Elsa Cazelles Alice Le Brigant Thierry Klein 44 0 0 04 Jun 2025
Manifold learning in metric spacesApplied and Computational Harmonic Analysis (ACHA), 2025 Liane Xu Amit Singer 147 0 0 20 Mar 2025
Non-injectivity of Bures--Wasserstein barycentres in infinite dimensions Y. Zemel 85 1 0 15 Nov 2023
Group-blind optimal transport to group parity and its constrained variants Quan-Gen Zhou Georgios Korpas 121 3 0 17 Oct 2023
RDA-INR: Riemannian Diffeomorphic Autoencoding via Implicit Neural RepresentationsSIAM Journal of Imaging Sciences (SIIMS), 2025 Sven Dummer N. Strisciuglio Christoph Brune MedIm 128 6 0 22 May 2023
Geometric Sparse Coding in Wasserstein Space M. Mueller Shuchin Aeron James M. Murphy Abiy Tasissa 88 4 0 21 Oct 2022
Curriculum Reinforcement Learning using Optimal Transport via Gradual Domain Adaptation Peide Huang Mengdi Xu Jiacheng Zhu Laixi Shi Fei Fang Ding Zhao CLL 156 30 0 18 Oct 2022
Wasserstein $K$ -means for clustering probability distributions Yubo Zhuang Xiaohui Chen Yun Yang 142 28 0 14 Sep 2022
Principal Geodesic Analysis of Merge Trees (and Persistence Diagrams) Mathieu Pont Jules Vidal Julien Tierny 155 10 0 22 Jul 2022
A stochastic Gauss-Newton algorithm for regularized semi-discrete optimal transport Bernard Bercu Jérémie Bigot S. Gadat Emilia Siviero 142 6 0 12 Jul 2021
Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution Bahar Taşkesen Soroosh Shafieezadeh-Abadeh Daniel Kuhn OT 110 31 0 10 Mar 2021
Learning to Generate Wasserstein Barycenters Julien Lacombe Julie Digne Nicolas Courty Nicolas Bonneel 99 12 0 24 Feb 2021
Distributed Wasserstein Barycenters via Displacement Interpolation Pedro Cisneros-Velarde Francesco Bullo 77 4 0 15 Dec 2020
Randomised Wasserstein Barycenter Computation: Resampling with Statistical Guarantees F. Heinemann Axel Munk Y. Zemel 110 18 0 11 Dec 2020
A Statistical Test for Probabilistic Fairness Bahar Taşkesen Jose H. Blanchet Daniel Kuhn Viet Anh Nguyen FaML 142 47 0 09 Dec 2020
LCS Graph Kernel Based on Wasserstein Distance in Longest Common Subsequence Metric Space Jianming Huang Zhongxi Fang Hiroyuki Kasai 158 20 0 07 Dec 2020
Matching Distributions via Optimal Transport for Semi-Supervised Learning Fariborz Taherkhani Hadi Kazemi Ali Dabouei J. Dawson Nasser M. Nasrabadi OT 145 1 0 04 Dec 2020
Wasserstein Embedding for Graph Learning Soheil Kolouri Navid Naderializadeh Gustavo K. Rohde Heiko Hoffmann GNN 162 92 0 16 Jun 2020
Estimation of Wasserstein distances in the Spiked Transport ModelBernoulli (Bernoulli), 2024 Jonathan Niles-Weed Philippe Rigollet 106 107 0 16 Sep 2019
Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning Daniel Kuhn Peyman Mohajerin Esfahani Viet Anh Nguyen Soroosh Shafieezadeh-Abadeh OOD 146 429 0 23 Aug 2019
Statistical data analysis in the Wasserstein spaceESAIM Proceedings and Surveys (ESAIM Proc. Surv.), 2024 Jérémie Bigot 138 35 0 19 Jul 2019
Minimax estimation of smooth optimal transport maps Jan-Christian Hütter Philippe Rigollet OT 159 29 0 14 May 2019
Learning Embeddings into Entropic Wasserstein SpacesInternational Conference on Learning Representations (ICLR), 2025 Charlie Frogner F. Mirzazadeh Justin Solomon 106 33 0 08 May 2019
Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measuresAnnals of Statistics (Ann. Stat.), 2025 Bernard Bercu Jérémie Bigot 131 20 0 21 Dec 2018
Computational Optimal Transport Gabriel Peyré Marco Cuturi OT 575 2,290 0 01 Mar 2018
Central limit theorems for entropy-regularized optimal transport on finite spaces and statistical applicationsElectronic Journal of Statistics (EJS), 2024 Jérémie Bigot Elsa Cazelles Nicolas Papadakis OT 147 42 0 24 Nov 2017
Large-Scale Optimal Transport and Mapping EstimationInternational Conference on Learning Representations (ICLR), 2025 Vivien Seguy B. Damodaran Rémi Flamary Nicolas Courty Antoine Rolet Mathieu Blondel OT 164 259 0 07 Nov 2017
Learning Wasserstein EmbeddingsInternational Conference on Learning Representations (ICLR), 2025 Nicolas Courty Rémi Flamary Mélanie Ducoffe 105 67 0 20 Oct 2017
Wasserstein Dictionary Learning: Optimal Transport-based unsupervised non-linear dictionary learningSIAM Journal of Imaging Sciences (SIIMS), 2025 M. Schmitz Matthieu Heitz Nicolas Bonneel Fred-Maurice Ngole-Mboula D. Coeurjolly Marco Cuturi Gabriel Peyré Jean-Luc Starck OT 196 138 0 07 Aug 2017
Regularized Optimal Transport and the Rot Mover's DistanceJournal of machine learning research (JMLR), 2024 Arnaud Dessein Nicolas Papadakis Jean-Luc Rouas OT 211 90 0 20 Oct 2016
Robust Wasserstein Profile Inference and Applications to Machine LearningJournal of Applied Probability (J. Appl. Probab.), 2024 Jose H. Blanchet Yang Kang Karthyek Murthy OOD 283 347 0 18 Oct 2016
Transport-based analysis, modeling, and learning from signal and data distributions Soheil Kolouri Serim Park Matthew Thorpe D. Slepčev Gustavo K. Rohde DiffM 101 31 0 15 Sep 2016
Wasserstein Discriminant AnalysisMachine-mediated learning (ML), 2025 Rémi Flamary Marco Cuturi Nicolas Courty A. Rakotomamonjy 204 105 0 29 Aug 2016
A Simulated Annealing based Inexact Oracle for Wasserstein Loss MinimizationInternational Conference on Machine Learning (ICML), 2025 Jianbo Ye James Z. Wang Jia Li 103 5 0 12 Aug 2016
Sliced Wasserstein Kernels for Probability DistributionsComputer Vision and Pattern Recognition (CVPR), 2023 Soheil Kolouri Yang Zou Gustavo K. Rohde 118 166 0 10 Nov 2015