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Indexed Families of Functionals and Gaussian Radial Basis Functions

sandberg{at}ece.utexas.edu, Department of Electrical and Computer Engineering, University of Texas at Austin, Austin, TX 78712, U.S.A.

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.