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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Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:164:y:2015:i:3:d:10.1007_s10957-013-0458-6
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DOI: 10.1007/s10957-013-0458-6
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