Table 1.
How to set the input parameters: an example.
Table 2.
Example of the parameters required to define the methods for an experiment on 5 variables.
Figure 1.
Interactions between the variables of the simulated system.
Figure 2.
TE matrix representation for the BIN UE estimator applied to the system 12.
The color indicates the magnitude of the TE averaged over 100 realizations of the simulation; a shading, inversely proportional to the significance, is superposed to the matrix.
Figure 3.
TE matrix representation for all the methods with linear time series of 512 points.
The color indicates the magnitude of the TE averaged over 100 realizations of the simulation; a shading, inversely proportional to the significance, is superposed to the matrix.
Figure 4.
TE matrix representation for all the methods with non-linear time series of 512 points.
The color indicates the magnitude of the TE averaged over 100 realizations of the simulation; a shading, inversely proportional to the significance, is superposed to the matrix.
Figure 5.
TE values versus the number of significant realizations, linear system.
For time series of 512 points simulated according to 13, the links retrieved by the different methods are reported. The five simulated links are red; those who are not present in the model are blue.
Figure 6.
TE values versus the number of significant realizations, non-linear system.
For time series of 512 points simulated according to 13, the links retrieved by the different methods are reported. The five simulated links are red; those who are not present in the model are blue.
Figure 7.
ROC curves for all methods for the linear system.
The curves are obtained reporting the results obtained gradually increasing the time series length simulated according to 13 from 128 to 1024 points.
Figure 8.
ROC curves for all methods for the non-linear system.
The curves are obtained reporting the results obtained gradually increasing the time series length simulated according to 14 from 128 to 1024 points.
Figure 9.
TE matrices for human EEG recordings.
Matrices of Transfer Entropy among the 76 intracranial contacts implanted in an epileptic subject. Contacts 1 to 64 belong to a cortical grid, contacts 65 to 76 to two strips implanted in deeper structures. Transfer Entropy values are obtained with three approaches to non-uniform embedding considering ten seconds of brain activity in the pre-ictal phase (top panels) and ictal phase (bottom panels). The color scale reflects Transfer Entropy values, the shading is inversely proportional to the significance: brighter colors correspond to more significant values.
Figure 10.
Transfer entropy for the links of interests in the cardiovascular example.
In red the TE for the subjects in supine position, in blue the TE for the subjects in upright position. The error bars represent the standard error.