A consistent algorithm to solve Lasso, elastic-net and Tikhonov regularization

被引:6
作者
De Vito, Ernesto [1 ]
Umanita, Veronica [1 ]
Villa, Silvia [1 ]
机构
[1] Univ Genoa, Dipartimento Matemat, I-16146 Genoa, Italy
关键词
Learning theory; Regularization; Sparsity; Consistent estimator; SELECTION; MODELS;
D O I
10.1016/j.jco.2011.01.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In the framework of supervised learning, we prove that the iterative algorithm introduced in Umanita and Villa (2010)[22] allows us to estimate in a consistent way the relevant features of the regression function under the a priori assumption that it admits a sparse representation on a fixed dictionary. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码:188 / 200
页数:13
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