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Nonlinear Support Vector Machines Through Iterative Majorization and I-Splines

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Abstract

To minimize the primal support vector machine (SVM) problem, we propose to use iterative majorization. To allow for nonlinearity of the predictors, we use (non)monotone spline transformations. An advantage over the usual kernel approach in the dual problem is that the variables can be easily interpreted. We illustrate this with an example from the literature.

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© 2007 Springer-Verlag Berlin Heidelberg

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Groenen, P.J.F., Nalbantov, G., Bioch, J.C. (2007). Nonlinear Support Vector Machines Through Iterative Majorization and I-Splines. In: Decker, R., Lenz, H.J. (eds) Advances in Data Analysis. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70981-7_18

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