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An Algorithm to Construct Separable ε-Nets of Two Sets

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Cybernetics and Systems Analysis Aims and scope

Abstract

The authors propose a new method to solve classification problem based on separation of two sets in space R d. The necessary and sufficient conditions of ε-separability are proved. The algorithm of constructing two separable ε-nets of size [2d / ε] is proposed. The paper contains an example of applying this algorithm to two sets generated from normally distributed sets. The classification results for the proposed method and for support vector machines are compared.

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Author information

Authors and Affiliations

  1. Bukovinskii State Medical University, Chernivtsi, Ukraine

    M. A. Ivanchuk

  2. Yu. Fed’kovych National University, Chernivtsi, Ukraine

    I. V. Malyk

Authors
  1. M. A. Ivanchuk
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  2. I. V. Malyk
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Corresponding author

Correspondence to M. A. Ivanchuk.

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 6, November–December, 2016, pp. 127–134.

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Ivanchuk, M.A., Malyk, I.V. An Algorithm to Construct Separable ε-Nets of Two Sets. Cybern Syst Anal 52, 943–949 (2016). https://doi.org/10.1007/s10559-016-9896-0

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  • DOI: https://doi.org/10.1007/s10559-016-9896-0

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