Title :
Canonical piecewise-linear approximations
Author :
Lin, Ji-Nan ; Unbehauen, Rolf
Author_Institution :
Lehrstuhl fur Allgemeine und Theor. Elektrotech., Erlangen-Nurnberg Univ., Germany
fDate :
8/1/1992 12:00:00 AM
Abstract :
The canonical representation of piecewise-linear functions is considered as a universal approximation scheme of multivariate functions. Meanwhile, two universal approximation schemes in terms of combinations of univariate canonical piecewise-linear functions are proposed. The discussion supports the application of these schemes in mapping networks, e.g. neural networks or adaptive nonlinear filters
Keywords :
adaptive filters; neural nets; nonlinear network analysis; piecewise-linear techniques; adaptive nonlinear filters; canonical representation; mapping networks; multivariate functions; neural networks; piecewise-linear functions; universal approximation scheme; Adaptive filters; Adaptive systems; Circuit analysis; Ear; Intelligent networks; Lattices; Neural networks; Nonlinear circuits; Piecewise linear techniques; Spline;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
