Pruning-included weights and structure determination of 2-input neuronet using Chebyshev polynomials of Class 1

A new type of feed-forward 2-input neuronet using Chebyshev polynomials of Class 1 (2INCP1) is constructed and investigated in this paper. In addition, with the weights-direct-determination method exploited to obtain the optimal weights from hidden layer to output layer directly (i.e., just in one step), a new structure-automatic-determination method called weights-and-structure-determination (WASD) algorithm is proposed to determine the optimal number of hidden-layer neurons of the 2INCP1. Such a WASD algorithm includes a procedure of pruning the proposed neuronet (after the net grows up). Numerical results further substantiate the efficacy of the 2INCP1 equipped with the so-called WASD algorithm.