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Model of a dynamic neuron with state memory

Abstract

Model of a dynamic neuron with state memory

Guzik V.F., Prilip V.A., Chyrnyy S.A., Shestakov A.V.

Incoming article date: 13.12.2018

The problems of synthesis of a model of dynamic neuron with state memory (DNSM) are considered in the paper. The introduction of a special additional parameter into the model of a neuron, defined as a state parameter, is substantiated. It is indicated that the parameter of the state of the neuron has the ability to vary with time depending on the nature of the information processes that occur in neighboring neurons of the network. This parameter in a certain way accumulates information about the history of the behavior of the neuron in accordance with the entered formal descriptions. The concept of a "strained neuron" is introduced, taking into account the above. This concept characterizes the degree of influence of a given neuron on the neurons surrounding it. On the effects of time-varying parameters of the state of neurons, it is proposed to implement the process of self-evolution of the network directly during its operation. A variant of the analysis of the structure of the neural network, created on the basis of the proposed model DNSM. The topological representation of a neural network in the form of a graph model allows formalizing the interaction of neurons in a network with each other, both in time and in space. For this, the concept of k-space is introduced, which determines the degree of proximity of neurons to each other. The degree of proximity of neurons allows one to formalize, in the form of mathematical relationships, the procedure for the exchange of information between neighboring neurons in a network. Mathematical relationships that formalize these processes are given. A variant of the structure of the hardware design of DNSM, focused on implementation using FPGA technology, is proposed.

Keywords: dynamic neuron with state memory, connectionist model, self-evolutionary mechanism