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Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.85
N.G. Zhurbenko1


1 V.M. Glushkov Institute of Cybernetics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

zhurbnick@gmail.com

LINEAR CLASSIFIER AND PROJECTION ONTO A POLYTOPE

Abstract. An algorithm for constructing linear binary classifiers is proposed. Recognition objects are represented by points of n-dimensional Euclidean space. The algorithm is based on solving the problem of projecting zero onto the convex hull of a finite number of points of Euclidean space.

Keywords: linear classifier, convex hull, projection on polytope, penalty functions.



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