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In this paper there is proposed a generalized version of the SVM for binaryclassification problems in the case of using an arbitrary transformation x ->y. An approach similar to the classic SVM method is used. The problem is widelyexplained. Various formulations of primal and dual problems are proposed. Forone of the most important cases the formulae are derived in detail. A simplecomputational example is demonstrated. The algorithm and its implementation ispresented in Octave language.

Generalized version of the support vector machine for binary classification problems: supporting hyperplane machine