Mathematical programming approaches to classification problems
type: Item
instance of: scholarly article
title: Mathematical programming approaches to classification problems
zbMATH Open document ID: 1198.62066
DOI: 10.1155/2009/252989
author: Soulef Smaoui
author: Habib Chabchoub
author: Belaïd Aouni
published in: Advances in Operations Research
publication date: 2010-11-16T00:00:00Z
full work available at URL: https://eudml.org/doc/227279
review text: Summary: Discriminant Analysis (DA) is widely applied in many fields. Some recent researches raise the fact that standard DA assumptions, such as a normal distribution of data and equality of the variance-covariance matrices, are not always satisfied. A mathematical programming approach (MP) has been frequently used in DA and can be considered a valuable alternative to the classical models of DA. The MP approach provides more flexibility for the process of analysis. The aim of this paper is to address a comparative study in which we analyze the performance of three statistical and some MP methods using linear and nonlinear discriminant functions in two-group classification problems. New classification procedures will be adapted to the context of nonlinear discriminant functions. Different applications are used to compare these methods, including a support vector machines- (SVMs-) based approach. The findings of this study will be useful in assisting decision-makers to choose the most appropriate model for their decision-making situations.
Mathematics Subject Classification ID: 62H30
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 5816384
Wikidata QID: Q58647083
MaRDI profile type: Publication
OpenAlex ID: W2124986648
cites work: An experimental comparison of some recently developed linear programming approaches to the discriminant problem
cites work: Combining discriminant methods in solving classification problems in two-group discriminant analysis
cites work: Integer programming methods for normalisation and variable selection in mathematical programming discriminant analysis models
cites work: Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem
cites work: DEA-discriminant analysis: methodological comparison among eight discriminant analysis approaches
cites work: A comparison of standard and two-stage mathematical programming discriminant analysis methods
cites work: Second order mathematical programming formulations for discriminant analysis
cites work: Dichotomous categorical variable formation in mathematical programming discriminant analysis models
cites work: An iterative mixed integer programming method for classification accuracy maximizing discriminant analysis
cites work: Classification accuracy in discriminant analysis: a mixed integer programming approach
cites work: Mixed integer programming approach of extended DEA--discriminant analysis.
cites work: Q3994345
cites work: Extended DEA-discriminant analysis
DBLP publication ID: journals/advor/SmaouiCA09
description: scientific article; zbMATH DE number 5816384