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Sparse PCA by iterative elimination algorithm.

Authors :
Wang, Yang
Wu, Qiang
Source :
Advances in Computational Mathematics. Jan2012, Vol. 36 Issue 1, p137-151. 15p.
Publication Year :
2012

Abstract

In this paper we proposed an iterative elimination algorithm for sparse principal component analysis. It recursively eliminates variables according to certain criterion that aims to minimize the loss of explained variance, and reconsiders the sparse principal component analysis problem until the desired sparsity is achieved. Two criteria, the approximated minimal variance loss (AMVL) criterion and the minimal absolute value criterion, are proposed to select the variables eliminated in each iteration. Deflation techniques are discussed for multiple principal components computation. The effectiveness is illustrated by both simulations on synthetic data and applications on real data. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10197168
Volume :
36
Issue :
1
Database :
Academic Search Index
Journal :
Advances in Computational Mathematics
Publication Type :
Academic Journal
Accession number :
69888020
Full Text :
https://doi.org/10.1007/s10444-011-9186-3