蔡天文 Tony Cai 2014-10-10 6:13 PM

Direct Estimation of Differential Networks

Abstract

It is often of interest to understand how the structure of a genetic network differs between two conditions. In this paper, each condition-specific network is modeled using the precision matrix of a multivariate normal random vector, and a method is proposed to directly estimate the difference of the precision matrices. In contrast to other approaches, such as separate or joint estimation of the individual matrices, direct estimation does not require those matrices to be sparse, and thus can allow the individual networks to contain hub nodes. Under the assumption that the true differential network is sparse, the direct estimator is shown to be consistent in support recovery and estimation. It is also shown to outperform existing methods in simulations, and its properties are illustrated on gene expression data from late-stage ovarian cancer patients.


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ABOUT THE AUTHOR

蔡天文 Tony Cai

宾夕法尼亚大学沃顿商学院Dorothy Silberberg 统计学讲席教授、应用数学及计算科学教授

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