Emergence of network structure due to spike-timing-dependent plasticity in recurrent neuronal networks III: Partially connected neurons driven by spontaneous activity

Biological cybernetics
Matthieu GilsonJ Leo van Hemmen

Abstract

In contrast to a feed-forward architecture, the weight dynamics induced by spike-timing-dependent plasticity (STDP) in a recurrent neuronal network is not yet well understood. In this article, we extend a previous study of the impact of additive STDP in a recurrent network that is driven by spontaneous activity (no external stimulating inputs) from a fully connected network to one that is only partially connected. The asymptotic state of the network is analyzed, and it is found that the equilibrium and stability conditions for the firing rates are similar for both full and partial connectivity: STDP causes the firing rates to converge toward the same value and remain quasi-homogeneous. However, when STDP induces strong weight competition, the connectivity affects the weight dynamics in that the distribution of the weights disperses more quickly for lower density than for higher density. The asymptotic weight distribution strongly depends upon that at the beginning of the learning epoch; consequently, homogeneous connectivity alone is not sufficient to obtain homogeneous neuronal activity. In the absence of external inputs, STDP can nevertheless generate structure in the network through autocorrelation effects, for example, by i...Continue Reading

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Citations

Sep 22, 2010·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Feb 1, 2012·PLoS Computational Biology·Yotam Luz, Maoz Shamir
Feb 26, 2013·PLoS Computational Biology·Baktash Babadi, L F Abbott
Apr 29, 2014·Bio Systems·Joseph Chrol-Cannon, Yaochu Jin
Jun 7, 2014·Frontiers in Computational Neuroscience·Cristina Savin, Jochen Triesch
Jun 21, 2014·Neural Networks : the Official Journal of the International Neural Network Society·Takaaki Aoki
Aug 21, 2015·PLoS Computational Biology·Gabriel Koch OckerBrent Doiron
Apr 16, 2016·PLoS Computational Biology·Yotam Luz, Maoz Shamir
Feb 8, 2018·Frontiers in Computational Neuroscience·Bin MinDavid Cai
May 10, 2020·PLoS Computational Biology·Lisandro MontangieJulijana Gjorgjieva
Aug 31, 2018·Scientific Reports·Sarit Soloduchin, Maoz Shamir
Jul 1, 2020·PLoS Computational Biology·Nimrod Sherf, Maoz Shamir
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M Bayati, A Valizadeh
Feb 7, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Takaaki Aoki, Toshio Aoyagi
Aug 14, 2019·Current Opinion in Neurobiology·Maoz Shamir
May 13, 2021·PLoS Computational Biology·Alan Eric AkilKrešimir Josić

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