Penalized principal logistic regression for sparse sufficient dimension reduction

Seung Jun Shin, Andreas Artemiou

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

Sufficient dimension reduction (SDR) is a successive tool for reducing the dimensionality of predictors by finding the central subspace, a minimal subspace of predictors that preserves all the regression information. When predictor dimension is large, it is often assumed that only a small number of predictors is informative. In this regard, sparse SDR is desired to achieve variable selection and dimension reduction simultaneously. We propose a principal logistic regression (PLR) as a new SDR tool and further develop its penalized version for sparse SDR. Asymptotic analysis shows that the penalized PLR enjoys the oracle property. Numerical investigation supports the advantageous performance of the proposed methods.

Original languageEnglish
Pages (from-to)48-58
Number of pages11
JournalComputational Statistics and Data Analysis
Volume111
DOIs
Publication statusPublished - 2017 Jul 1

Keywords

  • Max-SCAD penalty
  • Principal logistic regression
  • Sparse sufficient dimension reduction
  • Sufficient dimension reduction

ASJC Scopus subject areas

  • Statistics and Probability
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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