Simultaneously determining regional heterogeneity and connection directionality from neural activity and symmetric connection
Fig 5
Reconstruction performance with respect to the sampling interval of observations.
(A and B) Reconstruction and prediction of exponential scaling strongly match across sampling steps. (A) Element-wise comparison between estimated Exponential Jacobian from sampled neural activity and analytical Jacobian JT across different sampling resolution from 0.01s (unsampled, red) to 1s (100 steps, blue). Dash line represents y = x. (B) Correlation of
and JT (blue),
and
(red) across different sampling step n. (C) The relative errors between ground truth and estimation of asymmetric SC (blue) and effective heterogeneity hi (red) estimated from
as functions of sampling steps. The colored lines show the mean relative errors across 10 simulations, with shaded areas indicating one standard deviation from the mean. Simulation length 50,000s.