Article,

Estimation for high-dimensional linear mixed-effects models using ℓ1-penalization

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Scandinavian Journal of Statistics, 38 (2): 197--214 (2011)
DOI: 10.1111/j.1467-9469.2011.00740.x

Abstract

Abstract. We propose an ℓ1-penalized estimation procedure for high-dimensional linear mixed-effects models. The models are useful whenever there is a grouping structure among high-dimensional observations, that is, for clustered data. We prove a consistency and an oracle optimality result and we develop an algorithm with provable numerical convergence. Furthermore, we demonstrate the performance of the method on simulated and a real high-dimensional data set.

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