Width optimization of the Gaussian kernels in Radial Basis Function Networks

Benoudjit, Nabil;Archambeau, Cédric;Lendasse, Amaury;Lee, John;Verleysen, Michel
(2002) European Symposium on Artificial Neural Networks (ESANN′02) — Location: Bruges (Belgium) (24.April.2002)

Files

67-WidthoptimizationoftheGaussiankernelsinRadialBasisFunctionNetworks.pdf
  • Restricted Access
  • Adobe PDF
  • 2.73 MB

Details

Authors
  • Benoudjit, NabilUCLouvain
    Author
  • Archambeau, CédricUCLouvain
    Author
  • Lendasse, AmauryUCLouvain
    Author
  • Lee, Johnorcid-logoUCLouvain
    Author
  • Author
Abstract
Radial basis function networks are usually trained according to a three-stage procedure. In the literature, many papers are devoted to the estimation of the position of Gaussian kernels, as well as the computation of the weights. Meanwhile, very few focus on the estimation of the kernel widths. In this paper, first, we develop a heuristic to optimize the widths in order to improve the generalization process. Subsequently, we validate our approach on several theoretical and real-life approximation problems.
Affiliations

Citations

Benoudjit, N., Archambeau, C., Lendasse, A., Lee, J., & Verleysen, M. (2002). Width optimization of the Gaussian kernels in Radial Basis Function Networks. In Verleysen, M. (ed.), 10th European Symposium on Artificial Neural Networks. ESANN′2002.Proceedings (p. p. 425-432). D-side publications. https://hdl.handle.net/2078.5/225716