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Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast
  Algorithm
v1v2v3v4v5v6v7v8v9v10v11 (latest)

Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm

Neural Information Processing Systems (NeurIPS), 2020
12 February 2020
Tianyi Lin
Nhat Ho
Xi Chen
Marco Cuturi
Sai Li
ArXiv (abs)PDFHTML

Papers citing "Fixed-Support Wasserstein Barycenters: Computational Hardness and Fast Algorithm"

29 / 29 papers shown
Liouville PDE-based sliced-Wasserstein flow
Liouville PDE-based sliced-Wasserstein flow
Pilhwa Lee
Jayshawn Cooper
227
0
0
22 May 2025
Relax and Merge: A Simple Yet Effective Framework for Solving Fair
  $k$-Means and $k$-sparse Wasserstein Barycenter Problems
Relax and Merge: A Simple Yet Effective Framework for Solving Fair kkk-Means and kkk-sparse Wasserstein Barycenter Problems
Shihong Song
Guanlin Mo
Qingyuan Yang
Hu Ding
428
0
0
02 Nov 2024
Relative-Translation Invariant Wasserstein Distance
Relative-Translation Invariant Wasserstein Distance
Binshuai Wang
Qiwei Di
Ming Yin
Mengdi Wang
Quanquan Gu
Peng Wei
239
1
0
04 Sep 2024
Integrating Efficient Optimal Transport and Functional Maps For
  Unsupervised Shape Correspondence Learning
Integrating Efficient Optimal Transport and Functional Maps For Unsupervised Shape Correspondence Learning
Tung Le
Khai Nguyen
Shanlin Sun
Nhat Ho
Xiaohui Xie
OT
309
10
0
04 Mar 2024
Structure-Aware E(3)-Invariant Molecular Conformer Aggregation Networks
Structure-Aware E(3)-Invariant Molecular Conformer Aggregation Networks
D. M. Nguyen
Nina Lukashina
Tai Nguyen
An T. Le
TrungTin Nguyen
Nhat Ho
Jan Peters
Daniel Sonntag
Viktor Zaverkin
Mathias Niepert
218
8
0
03 Feb 2024
On Robust Wasserstein Barycenter: The Model and Algorithm
On Robust Wasserstein Barycenter: The Model and Algorithm
Xu Wang
Jiawei Huang
Qing Yang
Jinpeng Zhang
190
1
0
25 Dec 2023
Wasserstein Geodesic Generator for Conditional Distributions
Wasserstein Geodesic Generator for Conditional Distributions
Young-geun Kim
Kyungbok Lee
Youngwon Choi
Joong-Ho Won
M. Paik
423
4
0
20 Aug 2023
Importance Sparsification for Sinkhorn Algorithm
Importance Sparsification for Sinkhorn AlgorithmJournal of machine learning research (JMLR), 2023
Mengyun Li
Jun Yu
Tao Li
Cheng Meng
OT
345
12
0
11 Jun 2023
Markovian Sliced Wasserstein Distances: Beyond Independent Projections
Markovian Sliced Wasserstein Distances: Beyond Independent ProjectionsNeural Information Processing Systems (NeurIPS), 2023
Khai Nguyen
Zhaolin Ren
Nhat Ho
OTGAN
334
10
0
10 Jan 2023
Hierarchical Sliced Wasserstein Distance
Hierarchical Sliced Wasserstein DistanceInternational Conference on Learning Representations (ICLR), 2022
Khai Nguyen
Zhaolin Ren
Huy Nguyen
Litu Rout
T. Nguyen
Nhat Ho
403
27
0
27 Sep 2022
Efficient Forecasting of Large Scale Hierarchical Time Series via
  Multilevel Clustering
Efficient Forecasting of Large Scale Hierarchical Time Series via Multilevel Clustering
Xing Han
Zhaolin Ren
Jing Hu
Joydeep Ghosh
Nhat Ho
AI4TS
171
0
0
27 May 2022
Revisiting Sliced Wasserstein on Images: From Vectorization to
  Convolution
Revisiting Sliced Wasserstein on Images: From Vectorization to ConvolutionNeural Information Processing Systems (NeurIPS), 2022
Khai Nguyen
Nhat Ho
OTGAN
303
28
0
04 Apr 2022
Global-Local Regularization Via Distributional Robustness
Global-Local Regularization Via Distributional RobustnessInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2022
Hoang Phan
Trung Le
Trung-Nghia Phung
Tu Bui
Nhat Ho
Dinh Q. Phung
OOD
261
15
0
01 Mar 2022
Approximative Algorithms for Multi-Marginal Optimal Transport and
  Free-Support Wasserstein Barycenters
Approximative Algorithms for Multi-Marginal Optimal Transport and Free-Support Wasserstein Barycenters
Johannes von Lindheim
OT
189
5
0
02 Feb 2022
On Label Shift in Domain Adaptation via Wasserstein Distance
On Label Shift in Domain Adaptation via Wasserstein Distance
Trung Le
Dat Do
Tuan Nguyen
Huy Nguyen
Hung Bui
Nhat Ho
Dinh Q. Phung
176
4
0
29 Oct 2021
Variational Wasserstein Barycenters with c-Cyclical Monotonicity
Variational Wasserstein Barycenters with c-Cyclical MonotonicityAAAI Conference on Artificial Intelligence (AAAI), 2021
Jinjin Chi
Zhiyao Yang
Jihong Ouyang
Ximing Li
291
6
0
22 Oct 2021
Dimensionality Reduction for Wasserstein Barycenter
Dimensionality Reduction for Wasserstein Barycenter
Zachary Izzo
Sandeep Silwal
Samson Zhou
281
21
0
18 Oct 2021
On the complexity of the optimal transport problem with graph-structured
  cost
On the complexity of the optimal transport problem with graph-structured cost
JiaoJiao Fan
Isabel Haasler
Johan Karlsson
Yongxin Chen
OT
270
23
0
01 Oct 2021
Fixed Support Tree-Sliced Wasserstein Barycenter
Fixed Support Tree-Sliced Wasserstein BarycenterInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Yuki Takezawa
Ryoma Sato
Zornitsa Kozareva
Sujith Ravi
M. Yamada
251
17
0
08 Sep 2021
Automatic Text Evaluation through the Lens of Wasserstein Barycenters
Automatic Text Evaluation through the Lens of Wasserstein BarycentersConference on Empirical Methods in Natural Language Processing (EMNLP), 2021
Pierre Colombo
Guillaume Staerman
Chloé Clavel
Pablo Piantanida
428
43
0
27 Aug 2021
Averaging on the Bures-Wasserstein manifold: dimension-free convergence
  of gradient descent
Averaging on the Bures-Wasserstein manifold: dimension-free convergence of gradient descent
Jason M. Altschuler
Sinho Chewi
P. Gerber
Austin J. Stromme
373
48
0
16 Jun 2021
Decentralized Distributed Optimization for Saddle Point Problems
Decentralized Distributed Optimization for Saddle Point ProblemsOptimization Methods and Software (OMS), 2021
Alexander Rogozin
Alexander Beznosikov
D. Dvinskikh
D. Kovalev
Pavel Dvurechensky
Alexander Gasnikov
465
25
0
15 Feb 2021
On Robust Optimal Transport: Computational Complexity and Barycenter
  Computation
On Robust Optimal Transport: Computational Complexity and Barycenter ComputationNeural Information Processing Systems (NeurIPS), 2021
Khang Le
Huy Le Nguyen
Quang H. Nguyen
Tung Pham
Hung Bui
Nhat Ho
OT
217
42
0
13 Feb 2021
Projection Robust Wasserstein Barycenters
Projection Robust Wasserstein BarycentersInternational Conference on Machine Learning (ICML), 2021
Minhui Huang
Shiqian Ma
Lifeng Lai
222
14
0
05 Feb 2021
Wasserstein barycenters are NP-hard to compute
Wasserstein barycenters are NP-hard to computeSIAM Journal on Mathematics of Data Science (SIMODS), 2021
Jason M. Altschuler
Enric Boix-Adserà
OT
679
54
0
04 Jan 2021
First-Order Methods for Convex Optimization
First-Order Methods for Convex OptimizationEURO Journal on Computational Optimization (EJCO), 2021
Pavel Dvurechensky
Mathias Staudigl
Shimrit Shtern
ODL
312
29
0
04 Jan 2021
Multi-marginal optimal transport and probabilistic graphical models
Multi-marginal optimal transport and probabilistic graphical modelsIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2020
Isabel Haasler
Rahul Singh
Qinsheng Zhang
Johan Karlsson
Yongxin Chen
OT
174
49
0
25 Jun 2020
Gradient descent algorithms for Bures-Wasserstein barycenters
Gradient descent algorithms for Bures-Wasserstein barycentersAnnual Conference Computational Learning Theory (COLT), 2020
Sinho Chewi
Tyler Maunu
Philippe Rigollet
Austin J. Stromme
305
96
0
06 Jan 2020
On Efficient Multilevel Clustering via Wasserstein Distances
On Efficient Multilevel Clustering via Wasserstein DistancesJournal of machine learning research (JMLR), 2019
Viet Huynh
Nhat Ho
Nhan Dam
X. Nguyen
Mikhail Yurochkin
Hung Bui
Dinh Q. Phung
245
7
0
19 Sep 2019
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