On choosing “optimal” shape parameters for RBF approximation

Abstract

Many radial basis function (RBF) methods contain a free shape parameter that plays an important role for the accuracy of the method. In most papers the authors end up choosing this shape parameter by trial and error or some other ad hoc means. The method of cross validation has long been used in the statistics literature, and the special case of leave-one… (More)
DOI: 10.1007/s11075-007-9072-8

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@article{Fasshauer2007OnC, title={On choosing “optimal” shape parameters for RBF approximation}, author={Gregory E. Fasshauer and Jack G. Zhang}, journal={Numerical Algorithms}, year={2007}, volume={45}, pages={345-368} }