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A 4–Vector MDM Algorithm for Support Vector Training

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Artificial Neural Networks - ICANN 2008 (ICANN 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5163))

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Abstract

While usually SVM training tries to solve the dual of the standard SVM minimization problem, alternative algorithms that solve the Nearest Point Problem (NPP) for the convex hulls of the positive and negative samples have been shown to also provide effective SVM training. They are variants of the Mitchell–Demyanov–Malozemov (MDM) algorithm and although they perform a two vector weight update, they must compute 4 possible updating vectors before deciding which ones to use. In this work we shall propose a 4–vector version of the MDM algorithm that requires substantially less iterations than the previous 2–vector MDM algorithms and leads to faster training if kernel operations are cached.

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Véra Kůrková Roman Neruda Jan Koutník

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Barbero, Á., López, J., Dorronsoro, J.R. (2008). A 4–Vector MDM Algorithm for Support Vector Training. In: Kůrková, V., Neruda, R., Koutník, J. (eds) Artificial Neural Networks - ICANN 2008. ICANN 2008. Lecture Notes in Computer Science, vol 5163. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87536-9_33

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  • DOI: https://doi.org/10.1007/978-3-540-87536-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87535-2

  • Online ISBN: 978-3-540-87536-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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