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1506.07944
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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
OT
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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
40
0
0
04 Jun 2025
Manifold learning in metric spaces
Applied 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 Representations
SIAM 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
K
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 Model
Bernoulli (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
428
0
23 Aug 2019
Statistical data analysis in the Wasserstein space
ESAIM 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 Spaces
International 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 measures
Annals 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 applications
Electronic Journal of Statistics (EJS), 2024
Jérémie Bigot
Elsa Cazelles
Nicolas Papadakis
OT
147
42
0
24 Nov 2017
Large-Scale Optimal Transport and Mapping Estimation
International 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 Embeddings
International 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 learning
SIAM 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 Distance
Journal 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 Learning
Journal 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 Analysis
Machine-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 Minimization
International Conference on Machine Learning (ICML), 2025
Jianbo Ye
James Z. Wang
Jia Li
103
5
0
12 Aug 2016
Sliced Wasserstein Kernels for Probability Distributions
Computer Vision and Pattern Recognition (CVPR), 2023
Soheil Kolouri
Yang Zou
Gustavo K. Rohde
118
166
0
10 Nov 2015
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