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Multilevel Clustering via Wasserstein Means

Multilevel Clustering via Wasserstein Means

13 June 2017
Nhat Ho
X. Nguyen
Mikhail Yurochkin
Hung Bui
Viet Huynh
Dinh Q. Phung
ArXiv (abs)PDFHTML

Papers citing "Multilevel Clustering via Wasserstein Means"

50 / 82 papers shown
Title
Federated Calculation of the Free-Support Transportation Barycenter by Single-Loop Dual Decomposition
Federated Calculation of the Free-Support Transportation Barycenter by Single-Loop Dual Decomposition
Zhengqi Lin
Andrzej Ruszczynski
52
1
0
25 Jul 2025
On the Relation between Rectified Flows and Optimal Transport
On the Relation between Rectified Flows and Optimal Transport
Johannes Hertrich
Antonin Chambolle
Julie Delon
OT
107
3
0
26 May 2025
Partial Distribution Alignment via Adaptive Optimal Transport
Pei Yang
Qi Tan
Guihua Wen
195
0
0
07 Mar 2025
Prototypical Partial Optimal Transport for Universal Domain Adaptation
Prototypical Partial Optimal Transport for Universal Domain Adaptation
Yucheng Yang
Xiang Gu
Jian Sun
OT
195
17
0
02 Aug 2024
Interaction-Force Transport Gradient Flows
Interaction-Force Transport Gradient Flows
E. Gladin
Pavel Dvurechensky
Alexander Mielke
Jia Jie Zhu
OT
149
6
0
27 May 2024
Approximate Algorithms For $k$-Sparse Wasserstein Barycenter With
  Outliers
Approximate Algorithms For kkk-Sparse Wasserstein Barycenter With Outliers
Qingyuan Yang
Hu Ding
127
3
0
20 Apr 2024
Hierarchical Integral Probability Metrics: A distance on random
  probability measures with low sample complexity
Hierarchical Integral Probability Metrics: A distance on random probability measures with low sample complexity
Marta Catalano
Hugo Lavenant
136
3
0
01 Feb 2024
Fast Dual Subgradient Optimization of the Integrated Transportation
  Distance Between Stochastic Kernels
Fast Dual Subgradient Optimization of the Integrated Transportation Distance Between Stochastic Kernels
Zhengqi Lin
Andrzej Ruszczynski
63
4
0
03 Dec 2023
A Specialized Semismooth Newton Method for Kernel-Based Optimal
  Transport
A Specialized Semismooth Newton Method for Kernel-Based Optimal Transport
Tianyi Lin
Marco Cuturi
Michael I. Jordan
OT
125
0
0
21 Oct 2023
LCOT: Linear circular optimal transport
LCOT: Linear circular optimal transport
Rocio Diaz Martin
Ivan Medri
Yikun Bai
Hengrong Du
Kangbai Yan
Gustavo K. Rohde
Soheil Kolouri
88
1
0
09 Oct 2023
Quasi-Monte Carlo for 3D Sliced Wasserstein
Quasi-Monte Carlo for 3D Sliced Wasserstein
Khai Nguyen
Nicola Bariletto
Nhat Ho
OT3DPC
163
23
0
21 Sep 2023
Lower Complexity Adaptation for Empirical Entropic Optimal Transport
Lower Complexity Adaptation for Empirical Entropic Optimal Transport
Michel Groppe
Shayan Hundrieser
OT
99
14
0
23 Jun 2023
Learning to Quantize Vulnerability Patterns and Match to Locate
  Statement-Level Vulnerabilities
Learning to Quantize Vulnerability Patterns and Match to Locate Statement-Level Vulnerabilities
Michael Fu
Trung Le
Van Nguyen
Chakkrit Tantithamthavorn
Dinh Q. Phung
92
3
0
26 May 2023
Parameter Estimation in DAGs from Incomplete Data via Optimal Transport
Parameter Estimation in DAGs from Incomplete Data via Optimal Transport
Vy Vo
Trung Le
L. Vuong
He Zhao
Edwin V. Bonilla
Dinh Q. Phung
OT
162
4
0
25 May 2023
Merging Rate of Opinions via Optimal Transport on Random Measures
Merging Rate of Opinions via Optimal Transport on Random Measures
Marta Catalano
Hugo Lavenant
FedML
37
0
0
10 May 2023
The geometry of financial institutions -- Wasserstein clustering of financial data
The geometry of financial institutions -- Wasserstein clustering of financial data
Lorenz Riess
Mathias Beiglbock
J. Temme
Andreas Wolf
Julio Backhoff
111
2
0
05 May 2023
Sliced Wasserstein Estimation with Control Variates
Sliced Wasserstein Estimation with Control Variates
Khai Nguyen
Nhat Ho
OT3DPC
163
15
0
30 Apr 2023
Keypoint-Guided Optimal Transport
Keypoint-Guided Optimal Transport
Xiang Gu
Yucheng Yang
Weizhen Zeng
Jian Sun
Zongben Xu
127
1
0
23 Mar 2023
Self-Attention Amortized Distributional Projection Optimization for
  Sliced Wasserstein Point-Cloud Reconstruction
Self-Attention Amortized Distributional Projection Optimization for Sliced Wasserstein Point-Cloud Reconstruction
Khai Nguyen
Dang Nguyen
N. Ho
110
9
0
12 Jan 2023
Stability of Entropic Wasserstein Barycenters and application to random
  geometric graphs
Stability of Entropic Wasserstein Barycenters and application to random geometric graphs
Marc Theveneau
Nicolas Keriven
114
4
0
19 Oct 2022
Wasserstein Barycenter-based Model Fusion and Linear Mode Connectivity
  of Neural Networks
Wasserstein Barycenter-based Model Fusion and Linear Mode Connectivity of Neural Networks
A. K. Akash
Sixu Li
Nicolas García Trillos
122
14
0
13 Oct 2022
Improving Generative Flow Networks with Path Regularization
Improving Generative Flow Networks with Path Regularization
A. Do
Duy-Tung Dinh
T. Nguyen
Khuong N. Nguyen
Stanley Osher
Nhat Ho
AI4CE
82
4
0
29 Sep 2022
Hierarchical Sliced Wasserstein Distance
Hierarchical Sliced Wasserstein Distance
Khai Nguyen
Zhaolin Ren
Huy Nguyen
Litu Rout
T. Nguyen
Nhat Ho
173
25
0
27 Sep 2022
Quantitative Stability of Barycenters in the Wasserstein Space
Quantitative Stability of Barycenters in the Wasserstein Space
G. Carlier
Alex Delalande
Q. Mérigot
122
15
0
21 Sep 2022
Small Transformers Compute Universal Metric Embeddings
Small Transformers Compute Universal Metric Embeddings
Anastasis Kratsios
Valentin Debarnot
Ivan Dokmanić
205
13
0
14 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
92
0
0
27 May 2022
Revisiting Sliced Wasserstein on Images: From Vectorization to
  Convolution
Revisiting Sliced Wasserstein on Images: From Vectorization to Convolution
Khai Nguyen
Nhat Ho
OTGAN
121
27
0
04 Apr 2022
An Accelerated Stochastic Algorithm for Solving the Optimal Transport
  Problem
An Accelerated Stochastic Algorithm for Solving the Optimal Transport Problem
Yiling Xie
Yiling Luo
X. Huo
173
11
0
02 Mar 2022
On Unbalanced Optimal Transport: Gradient Methods, Sparsity and
  Approximation Error
On Unbalanced Optimal Transport: Gradient Methods, Sparsity and Approximation Error
Quang Minh Nguyen
Hoang H. Nguyen
Yi Zhou
Lam M. Nguyen
OT
119
13
0
08 Feb 2022
Hierarchical Optimal Transport for Unsupervised Domain Adaptation
Hierarchical Optimal Transport for Unsupervised Domain Adaptation
Mourad El Hamri
Younès Bennani
Issam Falih
Hamid Ahaggach
OT
111
21
0
03 Dec 2021
Dimensionality Reduction for Wasserstein Barycenter
Dimensionality Reduction for Wasserstein Barycenter
Zachary Izzo
Sandeep Silwal
Samson Zhou
156
19
0
18 Oct 2021
Automatic Text Evaluation through the Lens of Wasserstein Barycenters
Automatic Text Evaluation through the Lens of Wasserstein Barycenters
Pierre Colombo
Guillaume Staerman
Chloé Clavel
Pablo Piantanida
268
42
0
27 Aug 2021
Entropic Gromov-Wasserstein between Gaussian Distributions
Entropic Gromov-Wasserstein between Gaussian Distributions
Khang Le
Dung D. Le
Huy Nguyen
Dat Do
Tung Pham
Nhat Ho
OT
102
18
0
24 Aug 2021
On Multimarginal Partial Optimal Transport: Equivalent Forms and
  Computational Complexity
On Multimarginal Partial Optimal Transport: Equivalent Forms and Computational Complexity
Khang Le
Huy Nguyen
Tung Pham
Nhat Ho
OT
107
9
0
18 Aug 2021
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with
  Applications
Limit Distribution Theory for the Smooth 1-Wasserstein Distance with Applications
Ritwik Sadhu
Ziv Goldfeld
Kengo Kato
118
9
0
28 Jul 2021
Estimation of Stationary Optimal Transport Plans
Estimation of Stationary Optimal Transport Plans
Kevin O'Connor
K. Mcgoff
A. Nobel
OT
128
3
0
25 Jul 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
160
41
0
16 Jun 2021
Unbalanced Optimal Transport through Non-negative Penalized Linear
  Regression
Unbalanced Optimal Transport through Non-negative Penalized Linear Regression
Laetitia Chapel
Rémi Flamary
Haoran Wu
Cédric Févotte
Gilles Gasso
OT
86
50
0
08 Jun 2021
Selective information exchange in collaborative clustering using
  regularized Optimal Transport
Selective information exchange in collaborative clustering using regularized Optimal Transport
Fatima Ezzahraa Ben Bouazza
Younès Bennani
43
0
0
22 Mar 2021
Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical
  Solution
Semi-Discrete Optimal Transport: Hardness, Regularization and Numerical Solution
Bahar Taşkesen
Soroosh Shafieezadeh-Abadeh
Daniel Kuhn
OT
110
31
0
10 Mar 2021
On Robust Optimal Transport: Computational Complexity and Barycenter
  Computation
On Robust Optimal Transport: Computational Complexity and Barycenter Computation
Khang Le
Huy Le Nguyen
Quang H. Nguyen
Tung Pham
Hung Bui
Nhat Ho
OT
97
40
0
13 Feb 2021
On Transportation of Mini-batches: A Hierarchical Approach
On Transportation of Mini-batches: A Hierarchical ApproachInternational Conference on Machine Learning (ICML), 2024
Khai Nguyen
Dang Nguyen
Quoc Nguyen
Tung Pham
Hung Bui
Dinh Q. Phung
Trung Le
Nhat Ho
OT
142
19
0
11 Feb 2021
Point-set Distances for Learning Representations of 3D Point Clouds
Point-set Distances for Learning Representations of 3D Point Clouds
Trung Nguyen
Quang Pham
Tam Le
Tung Pham
Nhat Ho
Binh-Son Hua
3DPC
117
79
0
08 Feb 2021
Functional optimal transport: map estimation and domain adaptation for
  functional data
Functional optimal transport: map estimation and domain adaptation for functional data
Jiacheng Zhu
Aritra Guha
Dat Do
Mengdi Xu
X. Nguyen
Ding Zhao
OT
163
8
0
07 Feb 2021
Projection Robust Wasserstein Barycenters
Projection Robust Wasserstein Barycenters
Minhui Huang
Shiqian Ma
Lifeng Lai
155
13
0
05 Feb 2021
A Dimension-free Computational Upper-bound for Smooth Optimal Transport
  Estimation
A Dimension-free Computational Upper-bound for Smooth Optimal Transport Estimation
A. Vacher
Boris Muzellec
Alessandro Rudi
Francis R. Bach
François-Xavier Vialard
OT
125
29
0
13 Jan 2021
Wasserstein barycenters are NP-hard to compute
Wasserstein barycenters are NP-hard to compute
Jason M. Altschuler
Enric Boix-Adserà
OT
376
49
0
04 Jan 2021
Making transport more robust and interpretable by moving data through a
  small number of anchor points
Making transport more robust and interpretable by moving data through a small number of anchor pointsInternational Conference on Machine Learning (ICML), 2024
Chi-Heng Lin
Mehdi Azabou
Eva L. Dyer
OTOOD
199
24
0
21 Dec 2020
A Statistical Test for Probabilistic Fairness
A Statistical Test for Probabilistic Fairness
Bahar Taşkesen
Jose H. Blanchet
Daniel Kuhn
Viet Anh Nguyen
FaML
142
46
0
09 Dec 2020
Matching Distributions via Optimal Transport for Semi-Supervised
  Learning
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
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