# Statistical Convergence Analysis of Gradient EM on General Gaussian Mixture Models

@article{Yan2017StatisticalCA, title={Statistical Convergence Analysis of Gradient EM on General Gaussian Mixture Models}, author={Bowei Yan and Mingzhang Yin and Purnamrita Sarkar}, journal={ArXiv}, year={2017}, volume={abs/1705.08530} }

In this paper, we study convergence properties of the gradient Expectation-Maximization algorithm \cite{lange1995gradient} for Gaussian Mixture Models for general number of clusters and mixing coefficients. We derive the convergence rate depending on the mixing coefficients, minimum and maximum pairwise distances between the true centers and dimensionality and number of components; and obtain a near-optimal local contraction radius. While there have been some recent notable works that derive…

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