Logical analysis of multiclass data with relaxed patterns

Travaughn C. Bain (), Juan F. Avila-Herrera (), Ersoy Subasi () and Munevver Mine Subasi ()
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Travaughn C. Bain: Florida Institute of Technology
Juan F. Avila-Herrera: Universidad Nacional Escuela de Matemática
Ersoy Subasi: Florida Institute of Technology
Munevver Mine Subasi: Florida Institute of Technology

Annals of Operations Research, 2020, vol. 287, issue 1, No 2, 35 pages

Abstract: Abstract An efficient and robust algorithm based on mixed integer linear programming is proposed to extend the Logical Analysis of Data (LAD) methodology to solve multiclass classification problems, where One-vs-Rest learning models are constructed to classify observations in predefined classes. The proposed algorithm uses two control parameters, homogeneity and prevalence, for identifying relaxed (fuzzy) patterns in multiclass datasets. The utility of the proposed method is demonstrated through experiments on multiclass benchmark datasets. Numerical experiments show that the efficiency and performance of the proposed multiclass LAD method with relaxed patterns is comparable to, if not better than, those of the previously developed LAD based multiclass classification as well as other well-known supervised learning methods.

Keywords: Supervised learning; Multiclass classification; Logical analysis of data; Mixed integer linear programming (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s10479-019-03389-7

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