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Properties and Iterative Methods for the Lasso and Its Variants 被引量:6
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作者 Hong-Kun XU 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2014年第3期501-518,共18页
The lasso of Tibshirani (1996) is a least-squares problem regularized by the l1 norm. Due to the sparseness promoting property of the l1 norm, the lasso has been received much attention in recent years. In this pape... The lasso of Tibshirani (1996) is a least-squares problem regularized by the l1 norm. Due to the sparseness promoting property of the l1 norm, the lasso has been received much attention in recent years. In this paper some basic properties of the lasso and two variants of it are exploited. Moreover, the proximal method and its variants such as the relaxed proximal algorithm and a dual method for solving the lasso by iterative algorithms are presented. 展开更多
关键词 Lasso Elastic net Smooth-lasso l1 regulaxization SPARSITY Proximalmethod Dual method Projection THRESHOLDING
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