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Locally linear approximation for Kernel methods : the Railway Kernel

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  • Javier Gonzalez

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  • Alberto Munoz

    ()

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    Abstract

    In this paper we present a new kernel, the Railway Kernel, that works properly for general (nonlinear) classification problems, with the interesting property that acts locally as a linear kernel. In this way, we avoid potential problems due to the use of a general purpose kernel, like the RBF kernel, as the high dimension of the induced feature space. As a consequence, following our methodology the number of support vectors is much lower and, therefore, the generalization capability of the proposed kernel is higher than the obtained using RBF kernels. Experimental work is shown to support the theoretical issues.

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    File URL: http://e-archivo.uc3m.es/bitstream/10016/3380/1/ws087024.pdf
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    Bibliographic Info

    Paper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws087024.

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    Date of creation: Dec 2008
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    Handle: RePEc:cte:wsrepe:ws087024

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    Related research

    Keywords: Support vector machines; Kernel Methods; Classification problems;

    This paper has been announced in the following NEP Reports:

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