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Activity Number: 366
Type: Topic Contributed
Date/Time: Wednesday, August 9, 2006 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #305660
Title: Sparse Principal Component Analysis
Author(s): Hui Zou*+
Companies: University of Minnesota
Address: 313 Ford Hall, Minneapolis, MN, 55455,
Keywords: PCA ; SPCA ; regularization ; L_1 penalty ; Procrustes rotation ; LARS
Abstract:

Principal component analysis is used widely in data processing and dimensionality reduction. However, PCA suffers from each principal component being a linear combination of the original variables. Thus, it is often difficult to interpret the results. We introduce the SPCA criterion, which results in a principled method---called SPCA---for producing modified principal components with sparse loadings. We also propose an efficient algorithm based on reduced-rank Procrustes rotation and the LARS for computing the SPCA. The proposed methodology is applied to real and simulated data with encouraging results.


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