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Margin maximization in spherical separation

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  • Annabella Astorino

    ()

  • Antonio Fuduli

    ()

  • Manlio Gaudioso

    ()

Abstract

We face the problem of strictly separating two sets of points by means of a sphere, considering the two cases where the center of the sphere is fixed or free, respectively. In particular, for the former we present a fast and simple solution algorithm, whereas for the latter one we use the DC-Algorithm based on a DC decomposition of the error function. Numerical results for both the cases are presented on several classical binary datasets drawn from the literature. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Annabella Astorino & Antonio Fuduli & Manlio Gaudioso, 2012. "Margin maximization in spherical separation," Computational Optimization and Applications, Springer, vol. 53(2), pages 301-322, October.
  • Handle: RePEc:spr:coopap:v:53:y:2012:i:2:p:301-322
    DOI: 10.1007/s10589-012-9486-7
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    References listed on IDEAS

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    1. A. Astorino & M. Gaudioso, 2009. "A fixed-center spherical separation algorithm with kernel transformations for classification problems," Computational Management Science, Springer, vol. 6(3), pages 357-372, August.
    2. A. Astorino & A. Fuduli & M. Gaudioso, 2010. "DC models for spherical separation," Journal of Global Optimization, Springer, vol. 48(4), pages 657-669, December.
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    Cited by:

    1. repec:spr:jglopt:v:68:y:2017:i:3:d:10.1007_s10898-016-0488-3 is not listed on IDEAS
    2. A. Astorino & M. Gaudioso & W. Khalaf, 2014. "Edge detection by spherical separation," Computational Management Science, Springer, vol. 11(4), pages 517-530, October.
    3. M. Gaudioso & T. V. Gruzdeva & A. S. Strekalovsky, 2016. "On numerical solving the spherical separability problem," Journal of Global Optimization, Springer, vol. 66(1), pages 21-34, September.
    4. Annabella Astorino & Manlio Gaudioso & Alberto Seeger, 2014. "An illumination problem: optimal apex and optimal orientation for a cone of light," Journal of Global Optimization, Springer, vol. 58(4), pages 729-750, April.

    More about this item

    Keywords

    Sperical separation; DC function; DCA;

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