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Activity Number: 607
Type: Contributed
Date/Time: Thursday, August 6, 2009 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract - #305188
Title: Optimal Nearest Shrunken Centroids Method for High-Dimensional Classification
Author(s): Tiejun Tong*+ and Herbert Pang
Companies: University of Colorado and Duke University
Address: , Boulder, CO, 80309,
Keywords: classification ; high-dimensional data ; nearest shrunken centroids ; cross-validation ; risk function
Abstract:

Class prediction with the nearest shrunken centroids (NSC) method has been shown to be very successful in many high-dimensional classification problems. Nevertheless, it has two major limitations: 1) the performance of the NSC method is not satisfactory when the sample size is relatively small owing to the large variation in feature selection; 2) the NSC method is ad hoc as the tuning parameter is chosen by cross-validation. In this article, we propose a new algorithm that chooses the tuning parameter by minimizing some certain risk function. Simulation studies indicate that the proposed algorithm performs remarkably well compared to the originally NSC method by cross-validation when the sample size is small. Theoretical aspects of the tuning parameter estimation are also investigated. Finally, we conduct a real data study to evaluate the proposed findings.


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