Classification in a Normalized Feature Space using Support Vector Machines

Graf, ABA; Smola, AJ; Borer, S

doi:10.1109/TNN.2003.811708

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Classification in a Normalized Feature Space using Support Vector Machines

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Graf, ABA
Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society;
Department Human Perception, Cognition and Action, Max Planck Institute for Biological Cybernetics, Max Planck Society;
Max Planck Institute for Biological Cybernetics, Max Planck Society;

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https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1199655
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Zitation

Graf, A., Smola, A., & Borer, S. (2003). Classification in a Normalized Feature Space using Support Vector Machines. IEEE Transactions on Neural Networks, 14(3), 597-605. doi:10.1109/TNN.2003.811708.

Zitierlink: https://hdl.handle.net/11858/00-001M-0000-0013-DC7D-C

Zusammenfassung

This paper discusses classification using support vector machines in a normalized feature space. We consider both normalization in input space and in feature space. Exploiting the fact that in this setting all points lie on the surface of a unit hypersphere we replace the optimal separating hyperplane by one that is symmetric in its angles, leading to an improved estimator. Evaluation of these considerations is done in numerical experiments on two real-world datasets. The stability to noise of this offset correction is subsequently investigated as well as its optimality.