Abstract
A mathematical model of the problem of calculating the weighting coefficients of a binary neural network is given. It is proved that in the case of step functions of neuron activation, this model is a system of linear inequalities, which is incompatible for most practical problems. A method of analyzing the system of inequalities is proposed, which allows calculating the values of the weighting coefficients and synthesizing the structure of the neural network, which ensures the absolute accuracy of the output signals. The algorithm and an implementation example are given. Keywords: neural network, mathematical model, analysis, synthesis, error.
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