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Linear Classifier and Projection Onto a Polytope*

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Abstract

An algorithm for constructing binary linear classifiers is considered. Objects of recognition are presented by points of an 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.

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Correspondence to N. G. Zhurbenko.

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Translated from Kibernetika i Sistemnyi Analiz, No. 3, May–June, 2020, pp. 163–170.

*The study was financed by the Volkswagen Foundation (Grant No. 90 306).

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Zhurbenko, N.G. Linear Classifier and Projection Onto a Polytope*. Cybern Syst Anal 56, 485–491 (2020). https://doi.org/10.1007/s10559-020-00264-3

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  • DOI: https://doi.org/10.1007/s10559-020-00264-3

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