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Figure 5
Strongly recurrent networks have broad correlation distributions.
A: Low connectivity, 
, B: high connectivity, 
. Other parameters as in Figure 2. The discrete distribution of direct interactions (blue) is washed out by second order terms (green) to a bimodal distribution for low and a unimodal distribution for high connectivity. higher-order terms (red) contribute significantly only for high connectivity. C: Correlation distributions change from a bimodal to a unimodal distribution for increasing connectivity (grey-scale indicates probability density). Average correlation (blue) increases smoothly and faster than the average interaction (black), which is the sum of excitatory (green) and inhibitory (yellow) interaction, but slower than the average common input (cyan) due to higher-order terms. The analytical prediction from Equation (22) for the average correlation (dashed red) fits the numerical calculation, especially for low connectivities. Vertical dotted lines indicate positions of the distributions in A and B.
doi: https://doi.org/10.1371/journal.pcbi.1002059.g005