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NOVEL ENSEMBLE TECHNIQUES FOR REGRESSION WITH MISSING DATA

Mostafa M. Hassan (), Amir F. Atiya (), Neamat El Gayar () and Raafat El-Fouly ()
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Mostafa M. Hassan: Computer Engineering, Cairo University, Giza, Egypt
Amir F. Atiya: Computer Engineering, Cairo University, Giza, Egypt
Neamat El Gayar: Faculty of Computer and Information Technology, Cairo University, Giza, Egypt
Raafat El-Fouly: Computer Engineering, Cairo University, Giza, Egypt

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 03, 635-652

Abstract: In this paper, we consider the problem of missing data, and develop an ensemble-network model for handling the missing data. The proposed method is based on utilizing the inherent uncertainty of the missing records in generating diverse training sets for the ensemble's networks. Specifically we generate the missing values using their probability distribution function. We repeat this procedure many times thereby creating a number of complete data sets. A network is trained for each of these data sets, thereby obtaining an ensemble of networks. Several variants are proposed, and we show analytically that one of these variants is superior to the conventional mean-substitution approach for the limit of large training set. Simulation results confirm the general superiority of the proposed methods compared to the conventional approaches.

Keywords: Missing values; missing value imputation; ensemble networks; regression (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1142/S1793005709001477

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