Characterization of fast sparse synchronization in the presence of interpopulation (both I to E and E to I) STDPs. Plots of a1 the average occupation degree (open circles), a2 the average pacing degree (open circles), and a3 the statistical-mechanical spiking measure (open circles) versus D in the E-population. Histograms for distribution of statistical-mechanical spiking measures in the E-population in the b1 absence and the b2 presence of interpopulation (both I to E and E to I) STDPs. Plots of c1 the average occupation degree (open circles), c2 the average pacing degree (open circles), and c3 the statistical-mechanical spiking measure (open circles) versus D in the I-population. For comparison, , , and ( or I) in the absence of STDP are also denoted by solid circles. Histograms for distribution of statistical-mechanical spiking measures in the I-population in the d1 absence and the d2 presence of interpopulation (both I to E and E to I) STDPs