Weights and structure determination of 3-input Bernoulli polynomial neural net
Yunong Zhang · Computer Engineering and Science · 2013
Based on the function approximation theory and the Weierstrass approximation theorem , a novel 3-input neural net activated by agroup of products of Bernoulli polynomials ( i.e. , 3-input Bernoulli polynomial neural net , 3IBPNN ) was constructed in this paper.Furthermore , on the basis of the weights-direct-determination ( WDD ) method and the relationship between the number of hidden-layer neurons and the approximation error of the neural net , three different weights-and-structure-determination ( WASD ) algorithms were built up for the constructed 3IBPNN.Numerical experiment results further prove that all of the 3IBPNNs determined respectively by the three proposed algorithms perform excellently in training , testing and prediction.