Spike-timing-dependent plasticity for neurons with recurrent connections
AuthorBurkitt, AN; Gilson, M; van Hemmen, JL
Source TitleBiological Cybernetics: communication and control in organisms and automata
AffiliationElectrical and Electronic Engineering
Document TypeJournal Article
CitationsBurkitt, A. N., Gilson, M. & van Hemmen, J. L. (2007). Spike-timing-dependent plasticity for neurons with recurrent connections. BIOLOGICAL CYBERNETICS, 96 (5), pp.533-546. https://doi.org/10.1007/s00422-007-0148-2.
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The dynamics of the learning equation, which describes the evolution of the synaptic weights, is derived in the situation where the network contains recurrent connections. The derivation is carried out for the Poisson neuron model. The spiking-rates of the recurrently connected neurons and their cross-correlations are determined self- consistently as a function of the external synaptic inputs. The solution of the learning equation is illustrated by the analysis of the particular case in which there is no external synaptic input. The general learning equation and the fixed-point structure of its solutions is discussed.
KeywordsArtificial Intelligence and Image Processing
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