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Improving Relational Regularized Autoencoders with Spherical Sliced Fused Gromov Wasserstein

Oct 05, 2020
Khai Nguyen, Son Nguyen, Nhat Ho, Tung Pham, Hung Bui

* 39 pages, 19 figures 

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Projection Robust Wasserstein Distance and Riemannian Optimization

Jun 28, 2020
Tianyi Lin, Chenyou Fan, Nhat Ho, Marco Cuturi, Michael I. Jordan

* The first two authors contributed equally 

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On the Minimax Optimality of the EM Algorithm for Learning Two-Component Mixed Linear Regression

Jun 04, 2020
Jeongyeol Kwon, Nhat Ho, Constantine Caramanis

* 36 pages, 1 figure 

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Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models

Jun 01, 2020
Tudor Manole, Nhat Ho

* Both authors contributed equally to this work 

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Instability, Computational Efficiency and Statistical Accuracy

May 22, 2020
Nhat Ho, Koulik Khamaru, Raaz Dwivedi, Martin J. Wainwright, Michael I. Jordan, Bin Yu

* First three authors contributed equally (listed in random order). 57 pages, 4 Figures 

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Revisiting Fixed Support Wasserstein Barycenter: Computational Hardness and Efficient Algorithms

Mar 18, 2020
Tianyi Lin, Nhat Ho, Xi Chen, Marco Cuturi, Michael I. Jordan

* Correct some typos 

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Distributional Sliced-Wasserstein and Applications to Generative Modeling

Feb 18, 2020
Khai Nguyen, Nhat Ho, Tung Pham, Hung Bui


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On Unbalanced Optimal Transport: An Analysis of Sinkhorn Algorithm

Feb 09, 2020
Khiem Pham, Khang Le, Nhat Ho, Tung Pham, Hung Bui

* The first two authors contributed equally to this work 

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Sampling for Bayesian Mixture Models: MCMC with Polynomial-Time Mixing

Dec 11, 2019
Wenlong Mou, Nhat Ho, Martin J. Wainwright, Peter L. Bartlett, Michael I. Jordan


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On Scalable Variant of Wasserstein Barycenter

Oct 10, 2019
Tam Le, Viet Huynh, Nhat Ho, Dinh Phung, Makoto Yamada

* Tam Le, Viet Huynh, and Nhat Ho contributed equally to this work 

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Computationally Efficient Tree Variants of Gromov-Wasserstein

Oct 10, 2019
Tam Le, Nhat Ho, Makoto Yamada

* Tam Le and Nhat Ho contributed equally to this work 

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On the Complexity of Approximating Multimarginal Optimal Transport

Sep 30, 2019
Tianyi Lin, Nhat Ho, Marco Cuturi, Michael I. Jordan

* 30 pages. The first two authors contributed equally to this work 

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On Efficient Multilevel Clustering via Wasserstein Distances

Sep 19, 2019
Viet Huynh, Nhat Ho, Nhan Dam, XuanLong Nguyen, Mikhail Yurochkin, Hung Bui, and Dinh Phung

* 42 pages, 8 figures, JMLR submission. arXiv admin note: substantial text overlap with arXiv:1706.03883 

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Convergence Rates for Gaussian Mixtures of Experts

Jul 09, 2019
Nhat Ho, Chiao-Yu Yang, Michael I. Jordan

* 55 pages 

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On the Acceleration of the Sinkhorn and Greenkhorn Algorithms for Optimal Transport

Jun 09, 2019
Tianyi Lin, Nhat Ho, Michael I. Jordan

* 31 pages, 36 figures. arXiv admin note: text overlap with arXiv:1901.06482 

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Posterior Distribution for the Number of Clusters in Dirichlet Process Mixture Models

May 23, 2019
Chiao-Yu Yang, Nhat Ho, Michael I. Jordan


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Accelerated Primal-Dual Coordinate Descent for Computational Optimal Transport

May 23, 2019
Wenshuo Guo, Nhat Ho, Michael I. Jordan

* 20 pages, 37 figures 

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Global Error Bounds and Linear Convergence for Gradient-Based Algorithms for Trend Filtering and $\ell_{1}$-Convex Clustering

Apr 16, 2019
Nhat Ho, Tianyi Lin, Michael I. Jordan

* The first two authors contributed equally to this work 

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Challenges with EM in application to weakly identifiable mixture models

Feb 01, 2019
Raaz Dwivedi, Nhat Ho, Koulik Khamaru, Martin J. Wainwright, Michael I. Jordan, Bin Yu

* 41 pages, 7 figures. The first three authors contributed equally to this work 

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Probabilistic Multilevel Clustering via Composite Transportation Distance

Oct 29, 2018
Nhat Ho, Viet Huynh, Dinh Phung, Michael I. Jordan

* 25 pages, 3 figures 

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Singularity, Misspecification, and the Convergence Rate of EM

Oct 01, 2018
Raaz Dwivedi, Nhat Ho, Koulik Khamaru, Michael I. Jordan, Martin J. Wainwright, Bin Yu

* 41 pages. The first three authors contributed equally to this work 

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Singularity structures and impacts on parameter estimation in finite mixtures of distributions

Sep 01, 2018
Nhat Ho, XuanLong Nguyen

* 86 pages. This version includes new notions of singularities in finite mixtures based on several new types of optimal transportation distances 

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Multilevel Clustering via Wasserstein Means

Jun 13, 2017
Nhat Ho, XuanLong Nguyen, Mikhail Yurochkin, Hung Hai Bui, Viet Huynh, Dinh Phung

* Proceedings of the ICML, 2017 

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Identifiability and optimal rates of convergence for parameters of multiple types in finite mixtures

Jan 11, 2015
Nhat Ho, XuanLong Nguyen

* 95 pages, 17 figures, Technical report 536, Department of Statistics, University of Michigan, Ann Arbor 

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