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RECURRENT NEURAL NETWORKS ARE UNIVERSAL APPROXIMATORS

International Journal of Neural SystemsPublished 1 August 2007
Anton Maximilian Schäfer, Hans-Georg Zimmermann
Citations202
SJR quartileQ1
SJR score1.58
SNIP1.67

Abstract

Recurrent Neural Networks (RNN) have been developed for a better understanding and analysis of open dynamical systems. Still the question often arises if RNN are able to map every open dynamical system, which would be desirable for a broad spectrum of applications. In this article we give a proof for the universal approximation ability of RNN in state space model form and even extend it to Error Correction and Normalized Recurrent Neural Networks.

Keywords

Computer SciencePhysics and Astronomy