Algorithm of the multilayer artificial feed-forward neural network learning

Abstract

The algorithm of the multilayer feed-forward neural network learning is developed. The algorithm is realized the error back-propagation idea. The particularity of the algorithm is its multidimensional-matrix form, which provides its theoretical and algorithmic generality. The program realization of the algorithm is performed as the function of the Matlab programming language. In spite of the multidimensional-matrix form of the algorithm, this function is defined fully by the usual matrices. The validity of the algorithm is confirmed by the computer simulation on the instances of the different approximation problems including the problem of the pattern recognition.