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Activity Number: 297
Type: Invited
Date/Time: Tuesday, August 4, 2009 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #302894
Title: Composite Likelihood EM Algorithm in High-Dimensional Data Analysis
Author(s): Peter X.K. Song*+
Companies: University of Michigan
Address: Department of Biostatistics, Ann Arbor, ME, 48109-2029,
Keywords: gene network ; hidden Markov model ; latent variable ; missing data ; time-course microarray data
Abstract:

The method of composite likelihood is useful to deal with estimation and inference in parametric models with high-dimensional data, where the full likelihood approach is greatly challenged by intractable computational complexity. We develop an extension of the EM algorithm in the framework of composite likelihood estimation in the presence of missing data or latent variables. We establish three key theoretical properties of the composite likelihood EM (CLEM) algorithm, including the ascent property, the algorithmic convergence and the convergence rate. Two applications of the proposed algorithm are presented for illustration, including high-dimensional copula models with incomplete data and multivariate hidden Markov models with microarray data. Both analytic and empirical performances of the proposed CLEM algorithm are demonstrated simulation studies and real world data examples.


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