Indexed Families of Functionals and Gaussian Radial Basis Functions

Sandberg, Irwin W.

doi:10.1162/089976603762552997

Indexed Families of Functionals and Gaussian Radial Basis Functions

Irwin W. Sandberg

NeCo 2003 pp. 455-468

doi:10.1162/089976603762552997 /neco/2003/sandberg2003neco-indexed/

Abstract

We report on results concerning the capabilities of gaussian radial basis function networks in the setting of inner product spaces that need not be finite dimensional. Specifically, we show that important indexed families of functionals can be uniformly approximated, with the approximation uniform also with respect to the index. Applications are described concerning the classification of signals and the synthesis of reconfigurable classifiers.

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Cite

Text

Sandberg. "Indexed Families of Functionals and Gaussian Radial Basis Functions." Neural Computation, 2003. doi:10.1162/089976603762552997

Markdown

[Sandberg. "Indexed Families of Functionals and Gaussian Radial Basis Functions." Neural Computation, 2003.](https://mlanthology.org/neco/2003/sandberg2003neco-indexed/) doi:10.1162/089976603762552997

BibTeX

@article{sandberg2003neco-indexed,
  title     = {{Indexed Families of Functionals and Gaussian Radial Basis Functions}},
  author    = {Sandberg, Irwin W.},
  journal   = {Neural Computation},
  year      = {2003},
  pages     = {455-468},
  doi       = {10.1162/089976603762552997},
  volume    = {15},
  url       = {https://mlanthology.org/neco/2003/sandberg2003neco-indexed/}
}