id: 01093170 dt: j an: 01093170 au: Gallagher, Richard J.; Lee, Eva K.; Patterson, David A. ti: Constrained discriminant analysis via $0/1$ mixed integer programming. so: Ann. Oper. Res. 74, 65-88 (1997). py: 1997 pu: Springer, Dordrecht la: EN cc: ut: nonlinear 0/1 mixed integer programming; constrained discriminant analysis ci: li: doi:10.1023/A:1018943025993 ab: Summary: A nonlinear 0/1 mixed integer programming model is presented for a constrained discriminant analysis problem. The model places restrictions on the numbers of misclassifications allowed among the training entities, and incorporates a “reserved judgment” region to which entities whose classifications are difficult to determine may be allocated. Two linearizations of the model are given ‒ one heuristic and one exact. Numerical results from real-world machine-learning datasets are presented. rv: