title: An optimization model for constrained discriminant analysis and numerical experiments with iris, thyroid, and heart disease datasets.
abstract: A nonlinear 0/1 mixed integer programming model is presented for a constrained discriminant analysis problem. The model enables controlling misclassification probabilities by placing restrictions on the numbers of misclassifications allowed among the training entities and incorporating a "reserved-judgment" region to which entities whose classifications are difficult to determine may be allocated. A linearization of the model is given, and preliminary numerical results for two medical and one non medical domain are presented.
authors.affiliation: Department of Medical Informatics, Columbia University, New York, New York, USA.
authors.forename: R J
authors.initials: RJ
authors.lastname: Gallagher
authors.forename: E K
authors.initials: EK
authors.lastname: Lee
authors.forename: D A
authors.initials: DA
authors.lastname: Patterson
mesh_terms: D016208:Databases, Factual; D016002:Discriminant Analysis; D006331:Heart Diseases; D016014:Linear Models; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D010944:Plants; D013961:Thyroid Gland