On convergence and parameter selection of the EM and DA-EM algorithms for Gaussian mixtures
作者：
Highlights：
• We investigate theoretical behaviors of the EM and DA-EM algorithms.
• We propose a theoretical lower bound for initialization of the annealing parameter in the DA-EM algorithm.
• We theoretically prove that, the EM algorithm for Gaussian mixtures actually exhibits the self-annealing behavior.
• Experimental results actually indicate that our theoretical results are applicable in practice.
摘要
•We investigate theoretical behaviors of the EM and DA-EM algorithms.•We propose a theoretical lower bound for initialization of the annealing parameter in the DA-EM algorithm.•We theoretically prove that, the EM algorithm for Gaussian mixtures actually exhibits the self-annealing behavior.•Experimental results actually indicate that our theoretical results are applicable in practice.
论文关键词：Expectation & maximization (EM) algorithm,Deterministic annealing EM (DA-EM),GAUSSIAN mixtures,Self-annealing,Convergence,Parameter selection
论文评审过程：Received 13 November 2016, Revised 6 December 2017, Accepted 17 December 2017, Available online 19 December 2017, Version of Record 4 January 2018.
论文官网地址：https://doi.org/10.1016/j.patcog.2017.12.014
