Functionally Logical Modeling of the Σπ-Neuron


In this paper, we suggest a circuitry method of the realization of a logical ΣΠ-neuron. We present digital and hybrid schemes of the logical ΣΠ-neuron. Each scheme is divided into two layers, which realize the multiplicative and additive operations, respectively. The schemes are constructed on the basis of digital and analogue elements. The layer performing the multiplicative function is identical in both schemes. The additive layer in the digital scheme is realized by the digital summator. In the hybrid scheme, it is realized by digital-to-analogue converters and the analogue summator of voltages. To realize the threshold function, the hybrid scheme uses a comparator and the digital one uses a digital comparator. The results obtained can be used for the construction of ΣΠ-neural networks.

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Correspondence to M. A. Kazakov.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 154, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, 2018.

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Kazakov, M.A. Functionally Logical Modeling of the Σπ-Neuron. J Math Sci 253, 506–510 (2021).

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Keywords and phrases

  • artificial neuron
  • logical sigma-pi-neuron
  • neural networks
  • sigma-pi neural networks

AMS Subject Classification

  • 68T05