Minimizing deviations from the group mean: A new linear programming approach for the two-group classification problem

DOI10.1016/0377-2217(95)00183-2zbMath0913.90271OpenAlexW2009060718MaRDI QIDQ1266606

Jane W. Moy, Kim Fung Lam, Eng Ung Choo

Publication date: 7 October 1998

Published in: European Journal of Operational Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-2217(95)00183-2

zbMATH Keywords

discriminant analysismultivariate statisticstwo-group classification

Mathematics Subject Classification ID

Classification and discrimination; cluster analysis (statistical aspects) (62H30) Applications of mathematical programming (90C90)

Related Items (12)

An experimental comparison of some recently developed linear programming approaches to the discriminant problem ⋮ Mathematical programming approaches to classification problems ⋮ Discrete support vector decision trees via tabu search ⋮ Optimization approaches to supervised classification ⋮ A new mathematical programming approach to multi-group classification problems ⋮ A comparative study of the effect of the position of outliers on classical and nontraditional approaches to the two-group classification problem ⋮ A Comparison of Two Group Classification Approaches to Fat-tailed and Skewed Data ⋮ Multicriteria classification and sorting methods: A literature review ⋮ Combining discriminant methods in solving classification problems in two-group discriminant analysis ⋮ A piecewise linear programming approach to the two-group discriminant problem - an adaptation to Fisher's linear discriminant function model ⋮ A mathematical programming approach to clusterwise regression model and its extensions ⋮ A simple weighting scheme for classification in two-group discriminant problems.

Uses Software

• LINDO

Cites Work

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• A comparison of a robust mixed-integer approach to existing methods for establishing classification rules for the discriminant problem
• Simple but powerful goal programming models for discriminant problems
• A linear goal programming model for classification with non-monotone attributes
• Linear goal programming in estimation of classification probability
• Optimal Criterion Weights in Repetitive Multicriteria Decision-Making

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