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Subset selection by Mallows Cp: A mixed integer programming approach

delete2015-01-01
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R
Ryuhei Miyashiro *
Y
Yuichi Takano
DOI:10.1016/j.eswa.2014.07.056delete
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摘要

摘要

En 中文
This paper concerns a method of selecting the best subset of explanatory variables for a linear regression model. Employing Mallows' C-p, as a goodness-of-fit measure, we formulate the subset selection problem as a mixed integer quadratic programming problem. Computational results demonstrate that our method provides the best subset of variables in a few seconds when the number of candidate explanatory variables is less than 30. Furthermore, when handling datasets consisting of a large number of samples, it finds better-quality solutions faster than stepwise regression methods do. (C) 2014 Elsevier Ltd. All rights reserved.
Keyword:
Subset selection
Mixed integer programming
Mallows' C-p
Linear regression model
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期刊

Expert Systems with Applications 封面图
Expert Systems with Applications
IF:
7.5
论文数:
2.9W
被引数:
10.2W

机构

I
Institute of Science Tokyo
学者数:
3.2W
论文数: 2.7W
被引数: 117
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