Radial basis neural network learning based on particle swarm optimization to multistep prediction of chaotic Lorenz´s system

This paper presents a hybrid training approach to radial basis function neural networks (RBF-NN). It uses clustering methods to tune the centers of the Gaussian functions used in the hidden layer of a RBF-NN. It also uses particle swarm optimization for centers and spread tuning and the Penrose-Moore pseudo-inverse to adjust the weight´s output of the network. Simulations involving this RBF-NN design to identify the chaotic Lorenz´ system indicate that the performance of proposed method is better than conventional RBF-NN trained for k-means for multi-step-ahead forecasting.