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Wasserstein barycenters are NP-hard to compute

Wasserstein barycenters are NP-hard to compute

4 January 2021
Jason M. Altschuler
Enric Boix-Adserà
    OT
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Papers citing "Wasserstein barycenters are NP-hard to compute"

24 / 24 papers shown
Title
Multi-Output Distributional Fairness via Post-Processing
Multi-Output Distributional Fairness via Post-Processing
Gang Li
Qihang Lin
Ayush Ghosh
Tianbao Yang
122
0
0
31 Aug 2024
Kullback-Leibler Barycentre of Stochastic Processes
Kullback-Leibler Barycentre of Stochastic Processes
S. Jaimungal
Silvana M. Pesenti
56
1
0
05 Jul 2024
Energy-Guided Continuous Entropic Barycenter Estimation for General Costs
Energy-Guided Continuous Entropic Barycenter Estimation for General Costs
Alexander Kolesov
Petr Mokrov
Igor Udovichenko
Milena Gazdieva
G. Pammer
Anastasis Kratsios
Evgeny Burnaev
Alexander Korotin
OT
82
2
0
02 Oct 2023
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
70
36
0
16 Jun 2021
Hardness results for Multimarginal Optimal Transport problems
Hardness results for Multimarginal Optimal Transport problems
Jason M. Altschuler
Enric Boix-Adserà
OT
41
32
0
10 Dec 2020
Polynomial-time algorithms for Multimarginal Optimal Transport problems
  with structure
Polynomial-time algorithms for Multimarginal Optimal Transport problems with structure
Jason M. Altschuler
Enric Boix-Adserà
31
32
0
07 Aug 2020
Sinkhorn Barycenter via Functional Gradient Descent
Sinkhorn Barycenter via Functional Gradient Descent
Zebang Shen
Zhenfu Wang
Alejandro Ribeiro
Hamed Hassani
42
10
0
20 Jul 2020
Estimating Barycenters of Measures in High Dimensions
Estimating Barycenters of Measures in High Dimensions
Samuel N. Cohen
Michael Arbel
M. Deisenroth
128
24
0
14 Jul 2020
Multi-marginal optimal transport and probabilistic graphical models
Multi-marginal optimal transport and probabilistic graphical models
Isabel Haasler
Rahul Singh
Qinsheng Zhang
Johan Karlsson
Yongxin Chen
OT
50
42
0
25 Jun 2020
Debiased Sinkhorn barycenters
Debiased Sinkhorn barycenters
H. Janati
Marco Cuturi
Alexandre Gramfort
OT
50
57
0
03 Jun 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
99
53
0
12 Feb 2020
Gradient descent algorithms for Bures-Wasserstein barycenters
Gradient descent algorithms for Bures-Wasserstein barycenters
Sinho Chewi
Tyler Maunu
Philippe Rigollet
Austin J. Stromme
39
87
0
06 Jan 2020
Sinkhorn Barycenters with Free Support via Frank-Wolfe Algorithm
Sinkhorn Barycenters with Free Support via Frank-Wolfe Algorithm
Giulia Luise
Saverio Salzo
Massimiliano Pontil
C. Ciliberto
28
68
0
30 May 2019
Probabilistic Multilevel Clustering via Composite Transportation
  Distance
Probabilistic Multilevel Clustering via Composite Transportation Distance
Nhat Ho
Viet Huynh
Dinh Q. Phung
Michael I. Jordan
31
21
0
29 Oct 2018
Distilled Wasserstein Learning for Word Embedding and Topic Modeling
Distilled Wasserstein Learning for Word Embedding and Topic Modeling
Hongteng Xu
Wenlin Wang
Wen Liu
Lawrence Carin
MedIm
FedML
61
85
0
12 Sep 2018
Context Mover's Distance & Barycenters: Optimal Transport of Contexts
  for Building Representations
Context Mover's Distance & Barycenters: Optimal Transport of Contexts for Building Representations
Sidak Pal Singh
Andreas Hug
Aymeric Dieuleveut
Martin Jaggi
OT
55
26
0
29 Aug 2018
Computational Optimal Transport
Computational Optimal Transport
Gabriel Peyré
Marco Cuturi
OT
197
2,143
0
01 Mar 2018
Multilevel Clustering via Wasserstein Means
Multilevel Clustering via Wasserstein Means
Nhat Ho
X. Nguyen
Mikhail Yurochkin
Hung Bui
Viet Huynh
Dinh Q. Phung
44
148
0
13 Jun 2017
Parallel Streaming Wasserstein Barycenters
Parallel Streaming Wasserstein Barycenters
Matthew Staib
Sebastian Claici
Justin Solomon
Stefanie Jegelka
67
89
0
21 May 2017
A fixed-point approach to barycenters in Wasserstein space
A fixed-point approach to barycenters in Wasserstein space
P. C. Álvarez-Esteban
E. del Barrio
J. A. Cuesta-Albertos
Carlos Matrán
38
191
0
17 Nov 2015
Fast Discrete Distribution Clustering Using Wasserstein Barycenter with
  Sparse Support
Fast Discrete Distribution Clustering Using Wasserstein Barycenter with Sparse Support
Jianbo Ye
Panruo Wu
Jianmin Wang
Jia Li
40
132
0
30 Sep 2015
Fast Optimal Transport Averaging of Neuroimaging Data
Fast Optimal Transport Averaging of Neuroimaging Data
Alexandre Gramfort
Gabriel Peyré
Marco Cuturi
OT
54
115
0
30 Mar 2015
Fast Computation of Wasserstein Barycenters
Fast Computation of Wasserstein Barycenters
Marco Cuturi
Arnaud Doucet
OT
86
740
0
16 Oct 2013
Sinkhorn Distances: Lightspeed Computation of Optimal Transportation
  Distances
Sinkhorn Distances: Lightspeed Computation of Optimal Transportation Distances
Marco Cuturi
OT
192
4,251
0
04 Jun 2013
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