Geodesic
Functional and Logical Modeling of the $\Sigma\Pi$-Neuron
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 49-53.

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In this paper, we propose a circuit method for implementing a logical $\Sigma\Pi$-neuron. Digital and hybrid schemes of the logical $\Sigma\Pi$-neuron are presented. Each scheme is divided into two layers implementing the multiplicative and additive operations, respectively. Schemes consist of digital and analog elements. The layer that performs the multiplicative function is identical in both schemes; the additive layer in the digital scheme is implemented by a digital adder. In the hybrid scheme, it is implemented by digital-analog converters and an analog voltage adder. For implementing the threshold function in hybrid and digital schemes, a comparator and a digital comparator are used, respectively. The results obtained can be used for constructing $\Sigma\Pi$-neuron networks.
Keywords: artificial neuron, logical sigma-pi neuron, neural network, sigma-pi neural network. 
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     author = {M. A. Kazakov},
     title = {Functional and {Logical} {Modeling} of the $\Sigma\Pi${-Neuron}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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M. A. Kazakov. Functional and Logical Modeling of the $\Sigma\Pi$-Neuron. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference “Actual Problems of Applied Mathematics and Physics,” Kabardino-Balkaria, Nalchik, May 17–21, 2017, Tome 154 (2018), pp. 49-53. http://geodesic.mathdoc.fr/item/INTO_2018_154_a5/

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