Lasso penalized model selection criteria for high-dimensional multivariate linear regression analysis

Shota Katayama, Shinpei Imori

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This paper proposes two model selection criteria for identifying relevant predictors in the high-dimensional multivariate linear regression analysis. The proposed criteria are based on a Lasso type penalized likelihood function to allow the high-dimensionality. Under the asymptotic framework that the dimension of multiple responses goes to infinity while the maximum size of candidate models has smaller order of the sample size, it is shown that the proposed criteria have the model selection consistency, that is, they can asymptotically pick out the true model. Simulation studies show that the proposed criteria outperform existing criteria when the dimension of multiple responses is large.

Original languageEnglish
Pages (from-to)138-150
Number of pages13
JournalJournal of Multivariate Analysis
Volume132
DOIs
Publication statusPublished - 2014 Nov 1
Externally publishedYes

Keywords

  • Consistency
  • High-dimensional data
  • Model selection
  • Multivariate linear regression

ASJC Scopus subject areas

  • Statistics and Probability
  • Numerical Analysis
  • Statistics, Probability and Uncertainty

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