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原文传递 Global Convergence of EM Algorithm for Mixtures of Two Component Linear Regression.

题名：	Global Convergence of EM Algorithm for Mixtures of Two Component Linear Regression.
作者：	Kwon, J.; Caramanis, C.
关键词：	Global convergence, Expectation-Maximization algorithm, Gaussian mixture models, Transportation reseaarch, Department of Transportation, Washington, DC. University Transportation Centers Program
摘要：	The Expectation-Maximization algorithm is perhaps the most broadly used algorithm for inference of latent variable problems. A theoretical understanding of its performance, however, largely remains lacking. Recent results established that EM enjoys global convergence for Gaussian Mixture Models. For Mixed Regression, however, only local convergence results have been established, and those only for the high SNR regime. We show here that EM converges for mixed linear regression with two components (it is known not to converge for three or more), and moreover that this convergence holds for random initialization.
报告类型：	科技报告