JSM 2011 Online Program

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Abstract Details

Activity Number: 170
Type: Contributed
Date/Time: Monday, August 1, 2011 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #302972
Title: Model Selection and Estimation in Matrix Normal Graphical Model
Author(s): Jianxin Yin*+ and Hongzhe Li
Companies: University of Pennsylvania and University of Pennsylvania
Address: 206 Blockley Hall, Philadelphia, PA, 19104,
Keywords: Guassian graphical model ; l1 penalty function ; matrix normal distribution ; oracle property ; pairwise markov property
Abstract:

Motivated by analysis of gene expression data measured over different tissues, we consider matrix-valued random variable and matrix-normal distribution and present a penalized estimation method for the corresponding concentration matrices. We show that the concentration matrices have a graphical interpretation for genes and tissues. We develop an efficient algorithm based on the graphical lasso to implement the penalized estimation. Asymptotic distribution of the estimates and the oracle properties are developed. Simulations and real examples demonstrate the competitive performance of the new methods.


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