Input correlations impede suppression of chaos and learning in balanced firing-rate networks
Fig 8
Activity, population firing rate and autocorrelations of balanced networks with common input.
A) Firing rates ϕi(t) = ϕ(hi(t)) of three example units. B) Mean population firing rate ν(t). C) Time-averaged two-time autocorrelation function (Eq 5) as a function of time difference with no external input (I1 = 0). D-F) Same as A-C but for input amplitude ; activity remains chaotic. G-I Same as A-C but for stronger input (
); activity is entrained by the external input and is no longer chaotic. Dashed lines (middle and right columns) are results of non-stationary DMFT, full lines are median across 10 network realizations. Model parameters: N = 5000, g = 2, f = 0.05/τ, I0 = J0 = 1.