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Asymptotic convergence properties of entropy regularized likelihood learning on finite mixtures with automatic model selection
Lu, Zhiwu ; Lu, Xiaoqing ; Ye, Zhiyuan
2007
英文摘要In finite mixture modelling, it is crucial to select the number of components for a data set. We have proposed an entropy regularized likelihood (ERL) learning principle for the finite mixtures to solve this model selection problem under regularization theory. In this paper, we further give an asymptotic analysis of the ERL learning, and find that the global minimization of the ERL function in a simulated annealing way (i.e., the regularization factor is gradually reduced to zero) leads to automatic model selection on the finite mixtures with a good parameter estimation. As compared with the EM algorithm, the ERL learning can go across the local minima of the negative likelihood and keep robust with respect to initialization. The simulation experiments then prove our theoretic analysis. ? Springer-Verlag Berlin Heidelberg 2007.; EI; PART 1; 986-993; 4491 LNCS
语种英语
出处4th International Symposium on Neural Networks, ISNN 2007
内容类型其他
源URL[http://ir.pku.edu.cn/handle/20.500.11897/461632]  
专题计算机科学技术研究所
推荐引用方式
GB/T 7714
Lu, Zhiwu,Lu, Xiaoqing,Ye, Zhiyuan. Asymptotic convergence properties of entropy regularized likelihood learning on finite mixtures with automatic model selection. 2007-01-01.
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