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Sparse Distance Weighted Discrimination
Journal article   Peer reviewed

Sparse Distance Weighted Discrimination

Boxiang Wang and Hui Zou
Journal of Computational and Graphical Statistics, Vol.25(3), pp.826-838
07/02/2016
DOI: 10.1080/10618600.2015.1049700

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Abstract

Distance weighted discrimination (DWD) was originally proposed to handle the data piling issue in the support vector machine. In this article, we consider the sparse penalized DWD for high-dimensional classification. The state-of-the-art algorithm for solving the standard DWD is based on second-order cone programming, however such an algorithm does not work well for the sparse penalized DWD with high-dimensional data. To overcome the challenging computation difficulty, we develop a very efficient algorithm to compute the solution path of the sparse DWD at a given fine grid of regularization parameters. We implement the algorithm in a publicly available R package sdwd. We conduct extensive numerical experiments to demonstrate the computational efficiency and classification performance of our method.
DWD High-dimensional classification SVM

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