期刊
COMPUTATIONAL STATISTICS & DATA ANALYSIS
卷 56, 期 12, 页码 4037-4046出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.csda.2012.04.019
关键词
Dantzig selector; Alternating direction method; Nonomonotone line search; Gradient method
资金
- NSERC Discovery Grant
In this paper, we study the alternating direction method for finding the Dantzig selectors, which are first introduced in Candes and Tao (2007a). In particular, at each iteration we apply the nonmonotone gradient method proposed in Lu and Zhang (in press) to approximately solve one subproblem of this method. We compare our approach with a first-order method proposed in Becker et al. (2011). The computational results show that our approach usually outperforms that method in terms of CPU time while producing solutions of comparable quality. (C) 2012 Elsevier B.V. All rights reserved.
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