Multivariate Autoregressive Modeling and Granger Causality Analysis of Multiple Spike Trains

Figure 5

Nonlinearity mismatch has a minor effect on the estimation of the MVAR model. MVAR-N model was estimated from spike trains generated using different nonlinearities (absolute value (dotted line), square (dashed line), or exponential (solid line)). Estimation was done using the exponential nonlinearity in all the cases. The impulse response of the linear MVAR model was affected only slightly by such nonlinearity mismatch. Kernel in row #m and in column #n represents the response of channel #m on impulse input to channel #n.