January 2021
Intermediate to advanced
200 pages
6h 22m
English
So-called feedforward neural networks and neural networks with Radial Basis Functions (RBF) are two widely used parametric model classes in identification and function approximation of nonlinear systems. Indeed, these networks with a single hidden layer can approximate any continuous function having a finite number or discontinuities (Cybenko theorem [1], see Section 3.5). A clear revival of interest for RBFs was noted during the years 1990 to 2005 in various fields of application, such as signal processing, checking and diagnosing errors, approximation of time series, etc. For a given problem, the use of an RBF generally leads to a structure less complex (number of units in the hidden layer). Moreover, ...
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