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A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION

Year 2003, Volume: 16 Issue: 1, 37 - 45, 09.08.2010

Abstract

When a data set including many explanatory variables and a response variable is given, the choice of best model which predicts the response variable is known as "variable selection" or "the selection of the best subset model". Many methods for variable selection have been suggested. Unfortunately, when the correlation between explanatory variables is high, currently used methods are mostly unsuccesful. Also, as the number of possible subsets grows exponentially when the number of explanatory variables increase, all possible subset methods have difficulty handling large dimensional data sets. In this study, a new stochastic optimization method based on Genetic Algorithm (GA) is proposed for variable selection in linear regression. The performance of the method proposed and that of classical variable selection methods are compared by using data sets commonly given in literature.

 Key Words: Linear regression, variable selection, stochastic optimization, genetic algorithm.

 

Year 2003, Volume: 16 Issue: 1, 37 - 45, 09.08.2010

Abstract

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Details

Primary Language English
Journal Section Statistics
Authors

Özgür Yeniay This is me

Atilla Göktaş This is me

Publication Date August 9, 2010
Published in Issue Year 2003 Volume: 16 Issue: 1

Cite

APA Yeniay, Ö., & Göktaş, A. (2010). A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION. Gazi University Journal of Science, 16(1), 37-45.
AMA Yeniay Ö, Göktaş A. A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION. Gazi University Journal of Science. August 2010;16(1):37-45.
Chicago Yeniay, Özgür, and Atilla Göktaş. “A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION”. Gazi University Journal of Science 16, no. 1 (August 2010): 37-45.
EndNote Yeniay Ö, Göktaş A (August 1, 2010) A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION. Gazi University Journal of Science 16 1 37–45.
IEEE Ö. Yeniay and A. Göktaş, “A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION”, Gazi University Journal of Science, vol. 16, no. 1, pp. 37–45, 2010.
ISNAD Yeniay, Özgür - Göktaş, Atilla. “A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION”. Gazi University Journal of Science 16/1 (August 2010), 37-45.
JAMA Yeniay Ö, Göktaş A. A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION. Gazi University Journal of Science. 2010;16:37–45.
MLA Yeniay, Özgür and Atilla Göktaş. “A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION”. Gazi University Journal of Science, vol. 16, no. 1, 2010, pp. 37-45.
Vancouver Yeniay Ö, Göktaş A. A GENETIC ALGORITHM APPROACH FOR THE BEST SUBSET SELECTION IN LINEAR REGRESSION. Gazi University Journal of Science. 2010;16(1):37-45.