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Optimal noise level for coding with tightly balanced networks of spiking neurons in the presence of transmission delays
Fig 3
LIF model with zero delay.
(a) Spike raster plots from simulations (N = 32) for three different values of the membrane potential leak λV. Notably, for small λV, we observe long runs in which the same neuron repeatedly spikes. Thus in the small λV limit, the next spike time is well-approximated by considering only the possibility that the same neuron spikes again. (b) Readout 
(blue) and its deviation 
(light blue shaded) from the mean 
for a single interspike interval. The variations in interspike interval durations accumulate to produce a variation in the readout with standard deviation 
, using the approximation from (a). (c) Readout error σreadout as a function of noise σ for different values of λV. Integrating the deviation illustrated in (b) across time yields the readout error in the small λV limit, Eq 19 (black). Simulations (dots on dashed lines, N = 64) with larger λV are upper-bounded by Eq 19.
doi: https://doi.org/10.1371/journal.pcbi.1010593.g003