%A Wei ZHAO, Ye SAN %T RBF neural network based on q-Gaussian function in function approximation %0 Journal Article %D 2011 %J Front. Comput. Sci. %J Frontiers of Computer Science %@ 2095-2228 %R 10.1007/s11704-011-1041-7 %P 381-386 %V 5 %N 4 %U {https://journal.hep.com.cn/fcs/EN/10.1007/s11704-011-1041-7 %8 2011-12-05 %X

To enhance the generalization performance of radial basis function (RBF) neural networks, an RBF neural network based on a q-Gaussian function is proposed. A q-Gaussian function is chosen as the radial basis function of the RBF neural network, and a particle swarm optimization algorithm is employed to select the parameters of the network. The non-extensive entropic index q is encoded in the particle and adjusted adaptively in the evolutionary process of population. Simulation results of the function approximation indicate that an RBF neural network based on q-Gaussian function achieves the best generalization performance.