Componentwise Least Squares Support Vector Machines

Details Componentwise Least Squares Support Vector Machines Componentwise Least Squares Support Vector Machines

2005-04-19

arxiv.org/abs/cs/0504086v1

Computer Science

Learning

22 pages. Accepted for publication in Support Vector Machines: Theory and Applications, ed. L. Wang, 2005

Scientific paper

This chapter describes componentwise Least Squares Support Vector Machines (LS-SVMs) for the estimation of additive models consisting of a sum of nonlinear components. The primal-dual derivations characterizing LS-SVMs for the estimation of the additive model result in a single set of linear equations with size growing in the number of data-points. The derivation is elaborated for the classification as well as the regression case. Furthermore, different techniques are proposed to discover structure in the data by looking for sparse components in the model based on dedicated regularization schemes on the one hand and fusion of the componentwise LS-SVMs training with a validation criterion on the other hand. (keywords: LS-SVMs, additive models, regularization, structure detection)

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