Exact 1-Norm Support Vector Machines Via Unconstrained Convex Differentiable Minimization
The Journal of Machine Learning Research
Computational Optimization and Applications
A group of knowledge-incorporated multiple criteria linear programming classifiers
Journal of Computational and Applied Mathematics
Review: Supervised classification and mathematical optimization
Computers and Operations Research
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We introduce a class of linear programs with constraints in the form of implications. Such linear programs arise in support vector machine classification, where in addition to explicit datasets to be classified, prior knowledge such as expert experience in the form of logical implications are imposed on the classifier. The overall problem can be viewed either as a semi-infinite linear program or as a linear program with equilibrium constraints which, in either case, can be solved by an equivalent simple linear program under mild assumptions.