17 citations · 36 across the 3 of their papers we have counts for
3 papers
q-bio.NC2003★ 7 cited
Random Walks for Spike-Timing Dependent Plasticity
Alan Williams, Todd K. Leen, Patrick D. Roberts
Random walk methods are used to calculate the moments of negative image equilibrium distributions in synaptic weight dynamics governed by spike-timing dependent plasticity (STDP).…
cond-mat.dis-nn2003★ 12 cited
Recurrent biological neural networks: The weak and noisy limit
Patrick D. Roberts
A perturbative method is developed for calculating the effects of recurrent synaptic interactions between neurons embedded in a network. A series expansion is constructed that conv…
physics.bio-ph2003★ 17 cited
Stability of Negative Image Equilibria in Spike-Timing Dependent Plasticity
Alan Williams, Patrick D. Roberts, Todd K. Leen
We investigate the stability of negative image equilibria in mean synaptic weight dynamics governed by spike-timing dependent plasticity (STDP). The neural architecture of the mode…