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We study a class of weakly identifiable location-scale mixture models for which the maximum likelihood estimates based on $n$ i.i.d.
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On EM algorithms and their proximal generalizations
Stéphane Chrétien and Alfred O Hero · 2008
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Optimal transport: Old and New
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Convergence rates of parameter estimation for some weakly identifiable finite mixtures
N. Ho and X. Nguyen · 2016
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Convergence rates of parameter estimation for some weakly identifiable finite mixtures
N. Ho and X. Nguyen · 2016
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Global analysis of expectation maximization for mixtures of two Gaussians
J. Xu, D. Hsu, and A. Maleki · 2016
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Statistical guarantees for the EM algorithm: From population to sample-based analysis
S. Balakrishnan, M. J. Wainwright, and B. Yu · 2017
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Ten steps of EM suffice for mixtures of two Gaussians
C. Daskalakis, C. Tzamos, and M. Zampetakis · 2017
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Convergence of gradient EM on multi-component mixture of Gaussians
B. Yan, M. Yin, and P. Sarkar · 2017
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Convergence of latent mixing measures in finite and infinite mixture models
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Overfitting Bayesian mixture models with an unknown number of components
Z. V. Havre, N. White, J. Rousseau, and K. Mengersen · 2015
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High-dimensional expectation-maximization algorithm: Statistical optimization and asymptotic normality
Z. Wang, Q. Gu, Y. Ning, and H. Liu · 2015
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Regularized EM algorithms: A unified framework and statistical guarantees
X. Yi and C. Caramanis · 2015
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Contributions to the theory of mathematical evolution
K. Pearson
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Simultaneous clustering and estimation of heterogeneous graphical models
B. Hao, W. Sun, Y. Liu, and G. Cheng · 2018
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Strong identifiability and optimal minimax rates for finite mixture estimation
P. Heinrich and J. Kahn · 2018
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CHIME: Clustering of high-dimensional Gaussian mixtures with EM algorithm and its optimality
T. T. Cai, J. Ma, and L. Zhang · 2019
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Singularity, misspecification, and the convergence rate of EM
R. Dwivedi, N. Ho, K. Khamaru, M. J. Wainwright, M. I. Jordan, and B. Yu · 2020
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