One of the main problems of traditional deep neural networks is the possibility of unforeseen, random errors. Our mathematical apparatus allows us to solve this problem by creating figurative-logical neural networks that model the imaginative representation and thinking of a person. This device is based on logical information processing and is encoded by Boolean functions. Such software will perform only logical operations without complex numerical calculations performed during the learning process. The advantage of figurative-logical neural networks is an increase in reliability in operation and the elimination of accidental errors and artifacts.
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