JSM 2011 Online Program

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Abstract Details

Activity Number: 451
Type: Topic Contributed
Date/Time: Wednesday, August 3, 2011 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Learning and Data Mining
Abstract - #300641
Title: Principal Subspace Estimation in Spiked Covariance Models
Author(s): Zongming Ma*+
Companies: University of Pennsylvania
Address: Department of Statistics, Philadelphia, PA, 19104,
Keywords: high dimension ; principal component analysis ; sparsity ; spiked covariance model ; subspace
Abstract:

For high-dimensional data, it is often desirable to reduce the dimensionality by projection onto a low dimensional principal subspace. However, classical PCA usually cannot find the subspace consistently in high dimensions. In this talk, we present a new principal subspace estimation method. For a class of spiked covariance models with sparsity constraints, it consistently, and even optimally, estimates the subspace.


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