Single-Step Prediction of Chaotic Time Series Using Wavelet-Networks

Abstract

This paper presents a wavelet neural-network for chaotic time series prediction. Wavelet-networks are inspired by both the feed-forward neural network and the theory underlying wavelet decompositions. Wavelet-networks are a class of neural network that take advantage of good localization properties of multiresolution analysis and combine them with the approximation abilities of neural networks. This kind of networks uses wavelets as activation functions in the hidden layer and a type of backpropagation algorithm is used for its learning. Comparisons are made between a wavelet-network and the typical feedforward network trained with the back-propagation algorithm. The results reported in this paper show that wavelet-networks have better prediction properties than its similar back-propagation networks