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Support Vector Machine Polyhedral Separability in Semisupervised Learning

Annabella Astorino () and Antonio Fuduli ()
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Annabella Astorino: Università della Calabria
Antonio Fuduli: Università della Calabria

Journal of Optimization Theory and Applications, 2015, vol. 164, issue 3, No 15, 1039-1050

Abstract: Abstract We introduce separation margin maximization, a characteristic of the Support Vector Machine technique, into the approach to binary classification based on polyhedral separability and we adopt a semisupervised classification framework. In particular, our model aims at separating two finite and disjoint sets of points by means of a polyhedral surface in the semisupervised case, that is, by exploiting information coming from both labeled and unlabeled samples. Our formulation requires the minimization of a nonconvex nondifferentiable error function. Numerical results are presented on several data sets drawn from the literature.

Keywords: SVM; Semisupervised classification; Transductive SVM; Polyhedral separability (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (5)

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DOI: 10.1007/s10957-013-0458-6

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