Journal article

Supervised neural gas with general similarity measure


Authors listHammer, B; Strickert, M; Villmann, T

Publication year2005

Pages21-44

JournalNeural Processing Letters

Volume number21

Issue number1

ISSN1370-4621

eISSN1573-773X

DOI Linkhttps://doi.org/10.1007/s11063-004-3255-2

PublisherSpringer


Abstract
Prototype based classification offers intuitive and sparse models with excellent generalization ability. However, these models usually crucially depend on the underlying Euclidian metric; moreover, online variants likely suffer from the problem of local optima. We here propose a generalization of learning vector quantization with three additional features: (I) it directly integrates neighborhood cooperation, hence is less affected by local optima; (II) the method can be combined with any differentiable similarity measure whereby metric parameters such as relevance factors of the input dimensions can automatically be adapted according to the given data; (III) it obeys a gradient dynamics hence shows very robust behavior, and the chosen objective is related to margin optimization.



Authors/Editors




Citation Styles

Harvard Citation styleHammer, B., Strickert, M. and Villmann, T. (2005) Supervised neural gas with general similarity measure, Neural Processing Letters, 21(1), pp. 21-44. https://doi.org/10.1007/s11063-004-3255-2

APA Citation styleHammer, B., Strickert, M., & Villmann, T. (2005). Supervised neural gas with general similarity measure. Neural Processing Letters. 21(1), 21-44. https://doi.org/10.1007/s11063-004-3255-2


Last updated on 2025-06-06 at 12:28