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Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4224))

Abstract

Statistical learning theory make large margins an important property of linear classifiers and Support Vector Machines were designed with this target in mind. However, it has been shown that large margins can also be obtained when much simpler kernel perceptrons are used together with ad–hoc updating rules, different in principle from Rosenblatt’s rule. In this work we will numerically demonstrate that, rewritten in a convex update setting and using an appropriate updating vector selection procedure, Rosenblatt’s rule does indeed provide maximum margins for kernel perceptrons, although with a convergence slower than that achieved by other more sophisticated methods, such as the Schlesinger–Kozinec (SK) algorithm.

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© 2006 Springer-Verlag Berlin Heidelberg

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García, D., González, A., Dorronsoro, J.R. (2006). Convex Perceptrons. In: Corchado, E., Yin, H., Botti, V., Fyfe, C. (eds) Intelligent Data Engineering and Automated Learning – IDEAL 2006. IDEAL 2006. Lecture Notes in Computer Science, vol 4224. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11875581_70

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  • DOI: https://doi.org/10.1007/11875581_70

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-45485-4

  • Online ISBN: 978-3-540-45487-8

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