An algorithm for designing Chebyshev neural network

In this paper, a Chebyshev neural network is constructed, of which the hidden neurons are activated with Chebyshev orthogonal polynomials. Based on the special structure, the weight-direct-determination method for the constructed neural network is introduced, which could obtain the optimal weights of such a neural network directly. Furthermore, a novel algorithm based on exponential-growth and binary-pruning search strategy is proposed to determine the optimal number of hidden neurons. Theoretical analysis and simulation results substantiate that our algorithm can adaptively, quickly and efficiently determine the number of hidden neurons in Chebyshev neural network for a given task.