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What the training of a neuronal network optimizes

Zbisław Tabor*

  • Institute of Applied Computer Science, Cracow University of Technology, Al. Jana Pawła II 37, 31-864 Cracow, Poland

  • *ztabor@pk.edu.pl

Phys. Rev. E 76, 031905 – Published 11 September, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.031905

Abstract

In the study a model of training of neuronal networks built of integrate-and-fire neurons is investigated. Neurons are assembled into complex networks of Watts-Strogatz type. Every neuronal network contains a single receptor neuron. The receptor neuron, stimulated by an external signal, evokes spikes in equal time intervals. The spikes generated by the receptor neuron induce subsequent activity of a whole network. The depolarization signals, traveling the network, modify synaptic couplings according to a kick-and-delay rule, whose process is termed “training.” It is shown that the training decreases the mean length of paths along which a depolarization signal is transmitted from the receptor neuron. Consequently, the training also decreases the reaction time and the energy expense necessary for the network to react to the external stimulus. It is shown that the initial distribution of synaptic couplings crucially determines the performance of trained networks.

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