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Activity Number: 318
Type: Contributed
Date/Time: Tuesday, August 4, 2009 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #304752
Title: An Iterative Thresholding Approach for Sparse PCA
Author(s): Zongming Ma*+
Companies: Stanford University
Address: Department of Statistics, 390 Serra Mall , Stanford, CA, 94305,
Keywords: Principal component analysis ; sparsity ; iterative algorithm ; thresholding
Abstract:

Principal component analysis is a widely used statistical method. For reasons including interpretability and statistical properties, sparsity in the estimated principal components is desired in a number of situations. In this talk, we present an iterative thresholding approach for sparse PCA, which has a close connection to a Lasso-type formulation of this problem. In particular, we investigate various statistical properties of the proposed method in a high dimensional setting under some assumptions.


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