$Randomly initialized EM algorithm for two-component Gaussian mixture achieves near optimality in $O(\sqrt{n})$ iterations$

Randomly initialized EM algorithm for two-component Gaussian mixture achieves near optimality in $O(\sqrt{n})$ iterations

28 August 2019

Yihong Wu

Harrison H. Zhou

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Papers citing "Randomly initialized EM algorithm for two-component Gaussian mixture achieves near optimality in $O(\sqrt{n})$ iterations"

33 / 33 papers shown

Title
Nonparametric MLE for Gaussian Location Mixtures: Certified Computation and Generic Behavior Yury Polyanskiy Mark Sellke 84 1 0 26 Mar 2025
How much is a noisy image worth? Data Scaling Laws for Ambient Diffusion Giannis Daras Yeshwanth Cherapanamjeri Constantinos Daskalakis DiffM 101 9 0 05 Nov 2024
Semi-Supervised Sparse Gaussian Classification: Provable Benefits of Unlabeled Data Eyar Azar B. Nadler 67 1 0 05 Sep 2024
Factor Adjusted Spectral Clustering for Mixture Models Shange Tang Soham Jana Jianqing Fan 112 1 0 22 Aug 2024
On the Convergence of a Federated Expectation-Maximization Algorithm Zhixu Tao Rajita Chandak Sanjeev R. Kulkarni FedML 93 0 0 11 Aug 2024
Toward Global Convergence of Gradient EM for Over-Parameterized Gaussian Mixture Models Weihang Xu Maryam Fazel S. Du 89 2 0 29 Jun 2024
Adaptive Mean Estimation in the Hidden Markov sub-Gaussian Mixture Model V. Karagulyan M. Ndaoud 77 0 0 18 Jun 2024
Matrix Denoising with Doubly Heteroscedastic Noise: Fundamental Limits and Optimal Spectral Methods Yihan Zhang Marco Mondelli 80 3 0 22 May 2024
Can semi-supervised learning use all the data effectively? A lower bound perspective Alexandru cTifrea Gizem Yüce Amartya Sanyal Fanny Yang 111 3 0 30 Nov 2023
Joint Problems in Learning Multiple Dynamical Systems Mengjia Niu Xiaoyu He Petr Rysavý Quan-Gen Zhou Georgios Korpas 148 3 0 03 Nov 2023
Regularised optimal self-transport is approximate Gaussian mixture maximum likelihood Gilles Mordant OT 84 2 0 23 Oct 2023
How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization Nuoya Xiong Lijun Ding Simon S. Du 104 13 0 03 Oct 2023
EM for Mixture of Linear Regression with Clustered Data Amirhossein Reisizadeh Khashayar Gatmiry Asuman Ozdaglar FedML 45 1 0 22 Aug 2023
Demystifying Softmax Gating Function in Gaussian Mixture of Experts Huy Nguyen TrungTin Nguyen Nhat Ho 95 26 0 05 May 2023
Sharp-SSL: Selective high-dimensional axis-aligned random projections for semi-supervised learning Tengyao Wang Yan Sun M. Gataric R. Samworth 61 1 0 18 Apr 2023
Sharp analysis of EM for learning mixtures of pairwise differences A. Dhawan Cheng Mao A. Pananjady 60 1 0 20 Feb 2023
Over-Parameterization Exponentially Slows Down Gradient Descent for Learning a Single Neuron Weihang Xu S. Du 105 16 0 20 Feb 2023
Likelihood Adjusted Semidefinite Programs for Clustering Heterogeneous Data Yubo Zhuang Xiaohui Chen Yun Yang 54 1 0 29 Sep 2022
Mean Estimation in High-Dimensional Binary Markov Gaussian Mixture Models Yihan Zhang Nir Weinberger 36 0 0 06 Jun 2022
Optimal Estimation and Computational Limit of Low-rank Gaussian Mixtures Zhongyuan Lyu Dong Xia 64 9 0 22 Jan 2022
The EM Algorithm is Adaptively-Optimal for Unbalanced Symmetric Gaussian Mixtures Nir Weinberger Guy Bresler FedML 62 6 0 29 Mar 2021
Exact Clustering in Tensor Block Model: Statistical Optimality and Computational Limit Rungang Han Yuetian Luo Miaoyan Wang Anru R. Zhang 122 39 0 18 Dec 2020
Local Minima Structures in Gaussian Mixture Models Yudong Chen Dogyoon Song Xumei Xi Yuqian Zhang 38 3 0 28 Sep 2020
Likelihood Maximization and Moment Matching in Low SNR Gaussian Mixture Models A. Katsevich Afonso S. Bandeira 53 19 0 26 Jun 2020
On the Minimax Optimality of the EM Algorithm for Learning Two-Component Mixed Linear Regression Jeongyeol Kwon Nhat Ho Constantine Caramanis 54 39 0 04 Jun 2020
Uniform Convergence Rates for Maximum Likelihood Estimation under Two-Component Gaussian Mixture Models Tudor Manole Nhat Ho 25 6 0 01 Jun 2020
Instability, Computational Efficiency and Statistical Accuracy Nhat Ho K. Khamaru Raaz Dwivedi Martin J. Wainwright Michael I. Jordan Bin Yu 70 20 0 22 May 2020
Computationally efficient sparse clustering Matthias Löffler Alexander S. Wein Afonso S. Bandeira 62 15 0 21 May 2020
Optimal estimation of high-dimensional location Gaussian mixtures Natalie Doss Yihong Wu Pengkun Yang Harrison H. Zhou 70 22 0 14 Feb 2020
Cutoff for exact recovery of Gaussian mixture models Xiaohui Chen Yun Yang 45 20 0 05 Jan 2020
Sparse Density Estimation with Measurement Errors Xiaowei Yang Huiming Zhang Haoyu Wei Shouzheng Zhang 72 3 0 14 Nov 2019
Iterative Algorithm for Discrete Structure Recovery Chao Gao A. Zhang 500 31 0 04 Nov 2019
Sharp optimal recovery in the two-component Gaussian Mixture Model M. Ndaoud 310 43 0 19 Dec 2018