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Entropic Gromov-Wasserstein between Gaussian Distributions


Aug 24, 2021
Khang Le, Dung Le, Huy Nguyen, Dat Do, Tung Pham, Nhat Ho

* 25 pages. Khang Le, Dung Le, and Huy Nguyen contributed equally to this work 

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An Efficient Mini-batch Method via Partial Transportation


Aug 22, 2021
Khai Nguyen, Dang Nguyen, Tung Pham, Nhat Ho

* 25 pages, 10 figures 

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On Multimarginal Partial Optimal Transport: Equivalent Forms and Computational Complexity


Aug 18, 2021
Khang Le, Huy Nguyen, Tung Pham, Nhat Ho

* 20 pages, 3 figures. Khang Le and Huy Nguyen contributed equally to this work 

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On Integral Theorems: Monte Carlo Estimators and Optimal Functions


Jul 22, 2021
Nhat Ho, Stephen G. Walker

* 18 pages, 2 figures. arXiv admin note: text overlap with arXiv:2106.06608 

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Statistical Analysis from the Fourier Integral Theorem


Jun 11, 2021
Nhat Ho, Stephen G. Walker

* 20 pages, 10 figures 

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Improving Bayesian Inference in Deep Neural Networks with Variational Structured Dropout


Feb 16, 2021
Son Nguyen, Duong Nguyen, Khai Nguyen, Nhat Ho, Khoat Than, Hung Bui

* 30 pages, 5 figures 

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On Robust Optimal Transport: Computational Complexity, Low-rank Approximation, and Barycenter Computation


Feb 13, 2021
Khang Le, Huy Nguyen, Quang Nguyen, Nhat Ho, Tung Pham, Hung Bui


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BoMb-OT: On Batch of Mini-batches Optimal Transport


Feb 11, 2021
Khai Nguyen, Quoc Nguyen, Nhat Ho, Tung Pham, Hung Bui, Dinh Phung, Trung Le

* 36 pages, 18 figures 

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Point-set Distances for Learning Representations of 3D Point Clouds


Feb 08, 2021
Trung Nguyen, Quang-Hieu Pham, Tam Le, Tung Pham, Nhat Ho, Binh-Son Hua


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On the computational and statistical complexity of over-parameterized matrix sensing


Jan 27, 2021
Jiacheng Zhuo, Jeongyeol Kwon, Nhat Ho, Constantine Caramanis


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Multivariate Smoothing via the Fourier Integral Theorem and Fourier Kernel


Dec 28, 2020
Nhat Ho, Stephen G. Walker

* 58 pages, 6 figures 

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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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