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Continuous Wasserstein-2 Barycenter Estimation without Minimax
  Optimization

Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization

International Conference on Learning Representations (ICLR), 2021
2 February 2021
Alexander Korotin
Lingxiao Li
Justin Solomon
Evgeny Burnaev
ArXiv (abs)PDFHTML

Papers citing "Continuous Wasserstein-2 Barycenter Estimation without Minimax Optimization"

42 / 42 papers shown
Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation
Wasserstein Gradient Flows for Scalable and Regularized Barycenter Computation
Eduardo Fernandes Montesuma
Yassir Bendou
Mike Gartrell
288
0
0
06 Oct 2025
Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
Neural Hamilton--Jacobi Characteristic Flows for Optimal Transport
Yesom Park
Shu Liu
Mo Zhou
Stanley Osher
OT
267
0
0
30 Sep 2025
Schrödinger Bridge Matching for Tree-Structured Costs and Entropic Wasserstein Barycentres
Schrödinger Bridge Matching for Tree-Structured Costs and Entropic Wasserstein Barycentres
Samuel Howard
Peter Potaptchik
George Deligiannidis
OT
484
2
0
20 Jun 2025
BaryIR: Learning Multi-Source Unified Representation in Continuous Barycenter Space for Generalizable All-in-One Image Restoration
BaryIR: Learning Multi-Source Unified Representation in Continuous Barycenter Space for Generalizable All-in-One Image Restoration
Xiaole Tang
Xiaoyi He
X. Gu
Jian Sun
226
2
0
27 May 2025
RAID: An In-Training Defense against Attribute Inference Attacks in Recommender Systems
RAID: An In-Training Defense against Attribute Inference Attacks in Recommender Systems
Xiaohua Feng
Yuyuan Li
Fengyuan Yu
Ke Xiong
Junjie Fang
Lulu Zhang
Xuhong Zhang
Chaochao Chen
AAML
272
2
0
15 Apr 2025
Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport
Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal TransportInternational Conference on Learning Representations (ICLR), 2024
Milena Gazdieva
Jaemoo Choi
Alexander Kolesov
Jaewoong Choi
Petr Mokrov
Alexander Korotin
OT
570
7
0
04 Oct 2024
Relative-Translation Invariant Wasserstein Distance
Relative-Translation Invariant Wasserstein Distance
Binshuai Wang
Qiwei Di
Ming Yin
Mengdi Wang
Quanquan Gu
Peng Wei
260
1
0
04 Sep 2024
Optimal Flow Matching: Learning Straight Trajectories in Just One Step
Optimal Flow Matching: Learning Straight Trajectories in Just One Step
Nikita Kornilov
Petr Mokrov
Alexander Gasnikov
Alexander Korotin
281
60
0
19 Mar 2024
Analysis of Kernel Mirror Prox for Measure Optimization
Analysis of Kernel Mirror Prox for Measure Optimization
Pavel Dvurechensky
Jia Jie Zhu
495
6
0
29 Feb 2024
Estimating Barycenters of Distributions with Neural Optimal Transport
Estimating Barycenters of Distributions with Neural Optimal TransportInternational Conference on Machine Learning (ICML), 2024
Alexander Kolesov
Petr Mokrov
Igor Udovichenko
Milena Gazdieva
G. Pammer
Evgeny Burnaev
Alexander Korotin
OT
389
12
0
06 Feb 2024
Energy-Guided Continuous Entropic Barycenter Estimation for General Costs
Energy-Guided Continuous Entropic Barycenter Estimation for General CostsNeural Information Processing Systems (NeurIPS), 2023
Alexander Kolesov
Petr Mokrov
Igor Udovichenko
Milena Gazdieva
G. Pammer
Anastasis Kratsios
Evgeny Burnaev
Alexander Korotin
OT
776
10
0
02 Oct 2023
Computational Guarantees for Doubly Entropic Wasserstein Barycenters via
  Damped Sinkhorn Iterations
Computational Guarantees for Doubly Entropic Wasserstein Barycenters via Damped Sinkhorn Iterations
Lénaïc Chizat
Tomas Vaskevicius
189
1
0
25 Jul 2023
Recent Advances in Optimal Transport for Machine Learning
Recent Advances in Optimal Transport for Machine LearningIEEE Transactions on Pattern Analysis and Machine Intelligence (TPAMI), 2023
Eduardo Fernandes Montesuma
Fred-Maurice Ngole-Mboula
Antoine Souloumiac
OODOT
331
84
0
28 Jun 2023
Building the Bridge of Schrödinger: A Continuous Entropic Optimal
  Transport Benchmark
Building the Bridge of Schrödinger: A Continuous Entropic Optimal Transport BenchmarkNeural Information Processing Systems (NeurIPS), 2023
Nikita Gushchin
Alexander Kolesov
Petr Mokrov
Polina Karpikova
A. Spiridonov
Evgeny Burnaev
Alexander Korotin
OTDiffM
482
22
0
16 Jun 2023
Generating Synthetic Datasets by Interpolating along Generalized
  Geodesics
Generating Synthetic Datasets by Interpolating along Generalized GeodesicsConference on Uncertainty in Artificial Intelligence (UAI), 2023
JiaoJiao Fan
David Alvarez-Melis
258
11
0
12 Jun 2023
Tree-Based Diffusion Schrödinger Bridge with Applications to
  Wasserstein Barycenters
Tree-Based Diffusion Schrödinger Bridge with Applications to Wasserstein BarycentersNeural Information Processing Systems (NeurIPS), 2023
Maxence Noble
Valentin De Bortoli
Arnaud Doucet
Alain Durmus
DiffMOT
353
12
0
26 May 2023
Computing high-dimensional optimal transport by flow neural networks
Computing high-dimensional optimal transport by flow neural networksInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Chen Xu
Xiuyuan Cheng
Yao Xie
OT
774
8
0
19 May 2023
Energy-guided Entropic Neural Optimal Transport
Energy-guided Entropic Neural Optimal TransportInternational Conference on Learning Representations (ICLR), 2023
Petr Mokrov
Alexander Korotin
Alexander Kolesov
Nikita Gushchin
Evgeny Burnaev
OT
666
30
0
12 Apr 2023
Doubly Regularized Entropic Wasserstein Barycenters
Doubly Regularized Entropic Wasserstein Barycenters
Lénaïc Chizat
357
16
0
21 Mar 2023
Light Unbalanced Optimal Transport
Light Unbalanced Optimal TransportNeural Information Processing Systems (NeurIPS), 2023
Milena Gazdieva
Arip Asadulaev
Alexander Korotin
Evgeny Burnaev
OT
533
5
0
14 Mar 2023
Uncovering Challenges of Solving the Continuous Gromov-Wasserstein Problem
Uncovering Challenges of Solving the Continuous Gromov-Wasserstein Problem
Xavier Aramayo Carrasco
Maksim Nekrashevich
Petr Mokrov
Evgeny Burnaev
Alexander Korotin
OT
671
7
0
10 Mar 2023
Entropic Neural Optimal Transport via Diffusion Processes
Entropic Neural Optimal Transport via Diffusion ProcessesNeural Information Processing Systems (NeurIPS), 2022
Nikita Gushchin
Alexander Kolesov
Alexander Korotin
Dmitry Vetrov
Evgeny Burnaev
OTDiffM
354
53
0
02 Nov 2022
On amortizing convex conjugates for optimal transport
On amortizing convex conjugates for optimal transportInternational Conference on Learning Representations (ICLR), 2022
Brandon Amos
OT
412
35
0
21 Oct 2022
On the Wasserstein median of probability measures
On the Wasserstein median of probability measuresJournal of Computational And Graphical Statistics (JCGS), 2022
Kisung You
Dennis L. Shung
473
8
0
07 Sep 2022
Learning Optimal Transport Between two Empirical Distributions with
  Normalizing Flows
Learning Optimal Transport Between two Empirical Distributions with Normalizing Flows
Florentin Coeurdoux
N. Dobigeon
P. Chainais
OODOT
258
7
0
04 Jul 2022
Meta Optimal Transport
Meta Optimal TransportInternational Conference on Machine Learning (ICML), 2022
Brandon Amos
Samuel N. Cohen
Giulia Luise
I. Redko
OT
467
31
0
10 Jun 2022
Connecting adversarial attacks and optimal transport for domain
  adaptation
Connecting adversarial attacks and optimal transport for domain adaptation
Arip Asadulaev
V. Shutov
Alexander Korotin
Alexander Panfilov
Andrey Filchenkov
OODOT
242
0
0
30 May 2022
Neural Optimal Transport with General Cost Functionals
Neural Optimal Transport with General Cost FunctionalsInternational Conference on Learning Representations (ICLR), 2022
Arip Asadulaev
Alexander Korotin
Vage Egiazarian
Petr Mokrov
Evgeny Burnaev
OT
442
43
0
30 May 2022
Learning with Stochastic Orders
Learning with Stochastic OrdersInternational Conference on Learning Representations (ICLR), 2022
Carles Domingo-Enrich
Yair Schiff
Youssef Mroueh
214
2
0
27 May 2022
Wasserstein Iterative Networks for Barycenter Estimation
Wasserstein Iterative Networks for Barycenter EstimationNeural Information Processing Systems (NeurIPS), 2022
Alexander Korotin
Vage Egiazarian
Lingxiao Li
Evgeny Burnaev
451
34
0
28 Jan 2022
Neural Optimal Transport
Neural Optimal TransportInternational Conference on Learning Representations (ICLR), 2022
Alexander Korotin
Daniil Selikhanovych
Evgeny Burnaev
OT
676
139
0
28 Jan 2022
Variational Wasserstein gradient flow
Variational Wasserstein gradient flowInternational Conference on Machine Learning (ICML), 2021
JiaoJiao Fan
Qinsheng Zhang
Amirhossein Taghvaei
Yongxin Chen
414
74
0
04 Dec 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
338
7
0
22 Oct 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
433
54
0
16 Jun 2021
Neural Monge Map estimation and its applications
Neural Monge Map estimation and its applications
JiaoJiao Fan
Shu Liu
Shaojun Ma
Haomin Zhou
Yongxin Chen
OT
455
37
0
07 Jun 2021
Do Neural Optimal Transport Solvers Work? A Continuous Wasserstein-2
  Benchmark
Do Neural Optimal Transport Solvers Work? A Continuous Wasserstein-2 BenchmarkNeural Information Processing Systems (NeurIPS), 2021
Alexander Korotin
Lingxiao Li
Aude Genevay
Justin Solomon
Alexander N. Filippov
Evgeny Burnaev
OT
499
110
0
03 Jun 2021
Optimizing Functionals on the Space of Probabilities with Input Convex
  Neural Networks
Optimizing Functionals on the Space of Probabilities with Input Convex Neural Networks
David Alvarez-Melis
Yair Schiff
Youssef Mroueh
348
64
0
01 Jun 2021
Large-Scale Wasserstein Gradient Flows
Large-Scale Wasserstein Gradient FlowsNeural Information Processing Systems (NeurIPS), 2021
Petr Mokrov
Alexander Korotin
Lingxiao Li
Aude Genevay
Justin Solomon
Evgeny Burnaev
374
96
0
01 Jun 2021
Iterative Alignment Flows
Iterative Alignment FlowsInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2021
Zeyu Zhou
Ziyu Gong
Pradeep Ravikumar
David I. Inouye
OTDRL
409
5
0
15 Apr 2021
Low-Rank Sinkhorn Factorization
Low-Rank Sinkhorn FactorizationInternational Conference on Machine Learning (ICML), 2021
M. Scetbon
Marco Cuturi
Gabriel Peyré
239
74
0
08 Mar 2021
Learning to Generate Wasserstein Barycenters
Learning to Generate Wasserstein BarycentersJournal of Mathematical Imaging and Vision (JMIV), 2021
Julien Lacombe
Julie Digne
Nicolas Courty
Nicolas Bonneel
154
12
0
24 Feb 2021
Scalable Computations of Wasserstein Barycenter via Input Convex Neural
  Networks
Scalable Computations of Wasserstein Barycenter via Input Convex Neural NetworksInternational Conference on Machine Learning (ICML), 2020
JiaoJiao Fan
Amirhossein Taghvaei
Yongxin Chen
493
65
0
08 Jul 2020
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