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Fast Computation of Wasserstein Barycenters
v1v2v3 (latest)

Fast Computation of Wasserstein Barycenters

16 October 2013
Marco Cuturi
Arnaud Doucet
    OT
ArXiv (abs)PDFHTML

Papers citing "Fast Computation of Wasserstein Barycenters"

50 / 358 papers shown
Title
Estimating Barycenters of Measures in High Dimensions
Estimating Barycenters of Measures in High Dimensions
Samuel N. Cohen
Michael Arbel
M. Deisenroth
238
25
0
14 Jul 2020
Scalable Computations of Wasserstein Barycenter via Input Convex Neural
  Networks
Scalable Computations of Wasserstein Barycenter via Input Convex Neural Networks
JiaoJiao Fan
Amirhossein Taghvaei
Yongxin Chen
189
60
0
08 Jul 2020
ASGN: An Active Semi-supervised Graph Neural Network for Molecular
  Property Prediction
ASGN: An Active Semi-supervised Graph Neural Network for Molecular Property Prediction
Zhong Hao
Chengqiang Lu
Zheyuan Hu
Hongya Wang
Zhenya Huang
Qi Liu
Enhong Chen
Cheekong Lee
158
149
0
07 Jul 2020
Multimarginal Wasserstein Barycenter for Stain Normalization and
  Augmentation
Multimarginal Wasserstein Barycenter for Stain Normalization and AugmentationInternational Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI), 2025
Saad Nadeem
T. Hollmann
Allen Tannenbaum
70
23
0
25 Jun 2020
On Projection Robust Optimal Transport: Sample Complexity and Model
  Misspecification
On Projection Robust Optimal Transport: Sample Complexity and Model MisspecificationInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2025
Tianyi Lin
Zeyu Zheng
Elynn Y. Chen
Marco Cuturi
Michael I. Jordan
OT
134
60
0
22 Jun 2020
A Trainable Optimal Transport Embedding for Feature Aggregation and its
  Relationship to Attention
A Trainable Optimal Transport Embedding for Feature Aggregation and its Relationship to Attention
Grégoire Mialon
Dexiong Chen
Alexandre d’Aspremont
Julien Mairal
OT
119
0
0
22 Jun 2020
Robust Unsupervised Learning of Temporal Dynamic Interactions
Robust Unsupervised Learning of Temporal Dynamic Interactions
Aritra Guha
Rayleigh Lei
Jiacheng Zhu
X. Nguyen
Ding Zhao
52
0
0
18 Jun 2020
Wasserstein Embedding for Graph Learning
Wasserstein Embedding for Graph LearningInternational Conference on Learning Representations (ICLR), 2025
Soheil Kolouri
Navid Naderializadeh
Gustavo K. Rohde
Heiko Hoffmann
GNN
150
92
0
16 Jun 2020
Augmented Sliced Wasserstein Distances
Augmented Sliced Wasserstein DistancesInternational Conference on Learning Representations (ICLR), 2025
Xiongjie Chen
Yongxin Yang
Yunpeng Li
127
20
0
15 Jun 2020
$γ$-ABC: Outlier-Robust Approximate Bayesian Computation Based on a
  Robust Divergence Estimator
γγγ-ABC: Outlier-Robust Approximate Bayesian Computation Based on a Robust Divergence Estimator
Masahiro Fujisawa
Takeshi Teshima
Issei Sato
Masashi Sugiyama
190
0
0
13 Jun 2020
Projection Robust Wasserstein Distance and Riemannian Optimization
Projection Robust Wasserstein Distance and Riemannian OptimizationNeural Information Processing Systems (NeurIPS), 2025
Tianyi Lin
Chenyou Fan
Nhat Ho
Marco Cuturi
Michael I. Jordan
262
72
0
12 Jun 2020
Equitable and Optimal Transport with Multiple Agents
Equitable and Optimal Transport with Multiple Agents
M. Scetbon
Laurent Meunier
Jamal Atif
Marco Cuturi
OT
65
2
0
12 Jun 2020
Linear Time Sinkhorn Divergences using Positive Features
Linear Time Sinkhorn Divergences using Positive FeaturesNeural Information Processing Systems (NeurIPS), 2025
M. Scetbon
Marco Cuturi
161
27
0
12 Jun 2020
Stochastic Saddle-Point Optimization for Wasserstein Barycenters
Stochastic Saddle-Point Optimization for Wasserstein Barycenters
D. Tiapkin
Alexander Gasnikov
Pavel Dvurechensky
99
7
0
11 Jun 2020
The statistical effect of entropic regularization in optimal
  transportation
The statistical effect of entropic regularization in optimal transportation
E. del Barrio
Jean-Michel Loubes
OT
117
24
0
09 Jun 2020
Entropy-Regularized $2$-Wasserstein Distance between Gaussian Measures
Entropy-Regularized 222-Wasserstein Distance between Gaussian Measures
Anton Mallasto
Augusto Gerolin
H. Q. Minh
120
60
0
05 Jun 2020
Fuzzy c-Means Clustering for Persistence Diagrams
Fuzzy c-Means Clustering for Persistence Diagrams
Thomas Davies
Jack Aspinall
Bryan Wilder
Long Tran-Thanh
266
4
0
04 Jun 2020
Debiased Sinkhorn barycenters
Debiased Sinkhorn barycenters
H. Janati
Marco Cuturi
Alexandre Gramfort
OT
97
59
0
03 Jun 2020
Feature Robust Optimal Transport for High-dimensional Data
Feature Robust Optimal Transport for High-dimensional Data
Mathis Petrovich
Chao Liang
Ryoma Sato
Yanbin Liu
Yifan Hao
Linchao Zhu
Yi Yang
Ruslan Salakhutdinov
M. Yamada
OTOOD
129
7
0
25 May 2020
Projection to Fairness in Statistical Learning
Projection to Fairness in Statistical Learning
Thibaut Le Gouic
Jean-Michel Loubes
Philippe Rigollet
126
3
0
24 May 2020
CPOT: Channel Pruning via Optimal Transport
CPOT: Channel Pruning via Optimal Transport
Yucong Shen
Li Shen
Haozhi Huang
Xuan Wang
Wei Liu
OT
91
6
0
21 May 2020
The optimal transport paradigm enables data compression in data-driven
  robust control
The optimal transport paradigm enables data compression in data-driven robust control
F. Fabiani
Paul Goulart
60
0
0
19 May 2020
The Equivalence of Fourier-based and Wasserstein Metrics on Imaging
  Problems
The Equivalence of Fourier-based and Wasserstein Metrics on Imaging Problems
Gennaro Auricchio
Andrea Codegoni
Stefano Gualandi
Giuseppe Toscani
Marco Veneroni
38
15
0
13 May 2020
New Metrics Between Rational Spectra and their Connection to Optimal
  Transport
New Metrics Between Rational Spectra and their Connection to Optimal Transport
Fredrik Bagge Carlson
M. Chitre
53
2
0
20 Apr 2020
More efficient approximation of smoothing splines via space-filling
  basis selection
More efficient approximation of smoothing splines via space-filling basis selection
Cheng Meng
Xinlian Zhang
Jingyi Zhang
Wenxuan Zhong
Ping Ma
87
35
0
24 Mar 2020
A Balancing Weight Framework for Estimating the Causal Effect of General
  Treatments
A Balancing Weight Framework for Estimating the Causal Effect of General Treatments
Guillaume Martinet
CML
51
3
0
26 Feb 2020
Variational Wasserstein Barycenters for Geometric Clustering
Variational Wasserstein Barycenters for Geometric Clustering
Liang Mi
109
3
0
24 Feb 2020
Stochastic Optimization for Regularized Wasserstein Estimators
Stochastic Optimization for Regularized Wasserstein Estimators
Marin Ballu
Quentin Berthet
Francis R. Bach
93
17
0
20 Feb 2020
Gaussian Mixture Reduction with Composite Transportation Divergence
Gaussian Mixture Reduction with Composite Transportation Divergence
Qiong Zhang
Archer Gong Zhang
Jiahua Chen
117
5
0
19 Feb 2020
Schoenberg-Rao distances: Entropy-based and geometry-aware statistical Hilbert distances
Gaëtan Hadjeres
Frank Nielsen
38
0
0
19 Feb 2020
A General Framework for Consistent Structured Prediction with Implicit
  Loss Embeddings
A General Framework for Consistent Structured Prediction with Implicit Loss Embeddings
C. Ciliberto
Lorenzo Rosasco
Alessandro Rudi
202
54
0
13 Feb 2020
Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast
  Algorithm
Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm
Tianyi Lin
Nhat Ho
Xi Chen
Marco Cuturi
Michael I. Jordan
372
53
0
12 Feb 2020
Missing Data Imputation using Optimal Transport
Missing Data Imputation using Optimal TransportInternational Conference on Machine Learning (ICML), 2024
Boris Muzellec
Julie Josse
Claire Boyer
Marco Cuturi
OT
103
136
0
10 Feb 2020
Super-efficiency of automatic differentiation for functions defined as a
  minimum
Super-efficiency of automatic differentiation for functions defined as a minimumInternational Conference on Machine Learning (ICML), 2024
Pierre Ablin
Gabriel Peyré
Thomas Moreau
138
42
0
10 Feb 2020
Robust $k$-means Clustering for Distributions with Two Moments
Robust kkk-means Clustering for Distributions with Two Moments
Yegor Klochkov
Alexey Kroshnin
Nikita Zhivotovskiy
112
23
0
06 Feb 2020
Optimal quantization of the mean measure and applications to statistical
  learning
Optimal quantization of the mean measure and applications to statistical learning
Frédéric Chazal
Clément Levrard
Martin Royer
208
5
0
04 Feb 2020
Unsupervised Multilingual Alignment using Wasserstein Barycenter
Unsupervised Multilingual Alignment using Wasserstein Barycenter
Jiale Han
Kshitij Jain
B. Cheng
Pascal Poupart
Xu Wang
90
27
0
28 Jan 2020
Generalization Bounds and Representation Learning for Estimation of
  Potential Outcomes and Causal Effects
Generalization Bounds and Representation Learning for Estimation of Potential Outcomes and Causal Effects
Fredrik D. Johansson
Uri Shalit
Nathan Kallus
David Sontag
CMLOOD
232
109
0
21 Jan 2020
Gradient descent algorithms for Bures-Wasserstein barycenters
Gradient descent algorithms for Bures-Wasserstein barycenters
Sinho Chewi
Tyler Maunu
Philippe Rigollet
Austin J. Stromme
156
91
0
06 Jan 2020
Deep Learning for Learning Graph Representations
Deep Learning for Learning Graph Representations
Wenwu Zhu
Xin Eric Wang
Peng Cui
GNNAI4CE
65
23
0
02 Jan 2020
On clustering uncertain and structured data with Wasserstein barycenters
  and a geodesic criterion for the number of clusters
On clustering uncertain and structured data with Wasserstein barycenters and a geodesic criterion for the number of clusters
G. Papayiannis
G. Domazakis
D. Drivaliaris
S. Koukoulas
A. Tsekrekos
A. Yannacopoulos
87
5
0
26 Dec 2019
Barycenters of Natural Images -- Constrained Wasserstein Barycenters for
  Image Morphing
Barycenters of Natural Images -- Constrained Wasserstein Barycenters for Image Morphing
Dror Simon
Aviad Aberdam
99
22
0
24 Dec 2019
Finding and Removing Clever Hans: Using Explanation Methods to Debug and
  Improve Deep Models
Finding and Removing Clever Hans: Using Explanation Methods to Debug and Improve Deep Models
Christopher J. Anders
Talmaj Marinc
David Neumann
Wojciech Samek
K. Müller
Sebastian Lapuschkin
AAML
116
20
0
22 Dec 2019
Temporal Wasserstein non-negative matrix factorization for non-rigid
  motion segmentation and spatiotemporal deconvolution
Temporal Wasserstein non-negative matrix factorization for non-rigid motion segmentation and spatiotemporal deconvolution
E. Varol
Amin Nejatbakhsh
C. McGrory
51
1
0
07 Dec 2019
Coupling Matrix Manifolds and Their Applications in Optimal Transport
Coupling Matrix Manifolds and Their Applications in Optimal Transport
Dai Shi
Junbin Gao
X. Hong
S. Choy
Zhiyong Wang
OT
77
0
0
15 Nov 2019
Discovering Invariances in Healthcare Neural Networks
Discovering Invariances in Healthcare Neural Networks
M. T. Bahadori
Layne Price
OOD
108
0
0
08 Nov 2019
Ground Metric Learning on Graphs
Ground Metric Learning on Graphs
Matthieu Heitz
Nicolas Bonneel
D. Coeurjolly
Marco Cuturi
Gabriel Peyré
OT
161
22
0
08 Nov 2019
Alleviating Label Switching with Optimal Transport
Alleviating Label Switching with Optimal Transport
Pierre Monteiller
Sebastian Claici
Edward Chien
F. Mirzazadeh
Justin Solomon
Mikhail Yurochkin
69
6
0
05 Nov 2019
Wasserstein total variation filtering
Wasserstein total variation filtering
E. Varol
Amin Nejatbakhsh
22
0
0
23 Oct 2019
Zero-Shot Recognition via Optimal Transport
Zero-Shot Recognition via Optimal Transport
Wenlin Wang
Hongteng Xu
Guoyin Wang
Wenqi Wang
Lawrence Carin
OT
89
2
0
20 Oct 2019
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