The Modeling Ability and Its Effectivity for Multi-layer ADALINE NN

Aimed at the phenomenon that there is few theories and applications about multi-layer ADALINE neural network (NN), in this paper, mathematic expressions of the multi-input/ single-output (MISO) and multi-input/ multi-output (MIMO) ADALINE NN with multi-layer had been deduced according to the theory of linear neuron transfer function. At result, expressions are also linear functions respect with input variables with more complex weights and thresholds. In order to verify the equivalence of multi-layer ADALINE NNand single-layer ADALINE NN, two examples had been simulated with MATLAB software for function approximation, respectively. The simulation results showed that the multi-layer ADALINE NN can approximate linear functions but not as well as the single-layer ADALINE NN does. In conclusion, the existence of multi-layer adaline NN is not necessary, and its function can be simply realized with the single-layer ADALINE NN completely.