Title :
Nonlinear approximations using elliptic basis function networks
Author :
Park, Jooyoung ; Sandberg, Irwin W.
Author_Institution :
Dept. of Control & Instrum. Eng., Korea Univ., Chungnam, South Korea
Abstract :
Sharp conditions are given under which real-valued functions of several real variables can be approximated arbitrarily well by finite linear combinations of elliptic basis functions. Also given is a related result concerning the representation of functions as a limit in the mean of integrals involving elliptic basis functions
Keywords :
feedforward neural nets; function approximation; integral equations; wavelet transforms; continuous wavelet transform; elliptic basis function networks; function approximation; integrals; nonlinear approximations; radial basis function networks; sharp conditions; wavelet networks; Control system synthesis; Ear; Electric variables control; Hilbert space; Instruments; Radial basis function networks; Smoothing methods; USA Councils; Vectors; Wavelet transforms;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325907
