Skip to main content
Figure 5 | The Journal of Mathematical Neuroscience

Figure 5

From: Efficient calculation of heterogeneous non-equilibrium statistics in coupled firing-rate models

Figure 5

Our method implicitly assumes weak coupling, so as the average magnitude of the coupling strength increases, the performance decreases. We demonstrate this with several instances of coupling matrices and network sizes \(N_{c}=3, 5, 10, 25\), and \(N_{c}=50\) with the four coupling values in Figs. 3 and 4, using the same pulse (A) and sinusoidal (B) inputs. On vertical axis, we plot the average absolute error over all first and second order statistics, including all cells and pairs, while on the horizontal axis, we plot a measure of average magnitude of the coupling values l. Note that, since \(\mathbf{G}_{jk}\sim\mathbb{N}(0,\frac{l ^{2}}{100})\), the average of all \(\vert{\mathbf{G}}_{jk} \vert\) is \(\frac{l}{5\sqrt{2\pi}}\) in the infinite limit \(N_{c}\to\infty\). For reference, some of the points on these curves are from prior figures, denoted in gray text and arrows

Back to article page