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On the training of radial basis function classifiers

โœ Scribed by M.T. Musavi; W. Ahmed; K.H. Chan; K.B. Faris; D.M. Hummels


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
671 KB
Volume
5
Category
Article
ISSN
0893-6080

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โœฆ Synopsis


An approach./or the implenwntation ql'the Radial Basis Function (RBF) technique is presented and applied to a network qlthe appropriate architecture. TIw paper evplores a melhodohlgy /br selecting kernel fimction parameters and tlw t:~tent to which the mtmber ~?/ RBF mules can be reduced without significantly q/feeling the overall training error These objectit'es are a~z'omplished through algorithms that shall be described ill detail. Emphasis is also placed on the problems faced h.l' a technique that has been proved stq~erior to the more traditional training algorithms, part iczthlr/)' ill terms o[processing.vJeed and soh,ahility q/'nonlinear patterns. Solutions are consequentl.l' proposed ill view o/making RBF a mrnv e[licient melhod./br interpolation and class(/icalion purposes.


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On the Semi-norm of Radial Basis Functio
โœ Hans-Martin Gutmann ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 134 KB

Radial basis function interpolation has attracted a lot of interest in recent years. For popular choices, for example thin plate splines, this problem has a variational formulation, i.e. the interpolant minimizes a semi-norm on a certain space of radial functions. This gives rise to a function space