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There have been many studies on the simultaneous approximation capability of feed-forward neural networks (FNNs). Most of these, however, are only concerned with the density or feasibility of performing simultaneous approximations. This paper considers the simultaneous approximation of algebraic polynomials, employing Taylor expansion and an algebraic constructive approach, to construct a class of...
Reservoir computing methods have become popular; however, the nature of the dynamical reservoir (DR) is not thoroughly understood yet. We propose complex echo state network (CESN), the construction process of its DR is determined by five growth factors. The relationships between CESN connectivity structure and its performance are investigated when predicting nonlinear time series. We also introduce...
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