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l0-norm based structural sparse least square regression for feature selection

delete2015-12-01
delete25
PRE
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Z
Zhengya Sun *
H
Hongwei Hao
DOI:10.1016/j.patcog.2015.06.003delete
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摘要

摘要

En 中文
This paper presents a novel approach for feature selection with regard to the problem of structural sparse least square regression (SSLSR). Rather than employing the l(1)-norm regularization to control the sparsity, we directly work with sparse solutions via l(o)-norm regularization. In particular, we develop an effective greedy algorithm, where the forward and backward steps are combined adaptively, to resolve the SSLSR problem with the intractable l(r,o)-norm. On the one hand, features with the strongest correlation to classes are selected in the forward steps. On the other hand, redundant features which contribute little to the improvement of the objective function are removed in the backward steps. Furthermore, we provide solid theoretical analysis to prove the effectiveness of the proposed method. Experimental results on synthetic and real world data sets from different domains also demonstrate the superiority of the proposed method over the state-of-the-arts. (C) 2015 Elsevier Ltd. All rights reserved.
Keyword:
Structural sparse learning
l(o)-norm
Least square regression
Feature selection
Adaptive greedy algorithm
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期刊

Pattern Recognition 封面图
Pattern Recognition
IF:
7.6
论文数:
1.3W
被引数:
4.5W

机构

C
chinese academy of sciences
学者数:
56.7W
论文数: 45.0W
被引数: 704
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