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Model-Free Reconstruction of Excitatory Neuronal Connectivity from Calcium Imaging Signals

Figure 7

Dependence of reconstruction quality on TE formulations and recording length.

A ROC curves for network reconstructions of non-locally clustered (left panel) and locally-clustered topologies (right), based on three TE formulations: conventional TE (blue), generalized TE with same bin interactions only (red) or also including optimal conditioning (yellow). The vertical lines indicate the performance level at , and provide a visual guide to compare the quality of reconstruction between different formulations. B Decay of the reconstruction quality as measured by for the two topology ensembles and for generalized TE with conditioning, as a function of the data sampling divisor . A full simulated recording of 1 h in duration provides a data set of length , corresponding to a data sampling fraction of . Shorter recording lengths are obtained by shortening the full length time-series to a shorter length given by , with . The insets show the same results but plotted as a function of in semi-logarithmic scale. For both A and B, the panels in the left column correspond to the non-locally clustered ensembles (cfr. Figure 4), while the panels in the right column correspond to the locally-clustered ensemble (cfr. Figure 5). Shaded regions and error bars indicate 95% confidence intervals based on 6 networks.

Figure 7