Identification of Informative Subgraphs in Complex Systems

An approach to put in evidence multiplets of variables, providing information for the future state of a subsystem, is proposed. The method employs an exact expansion of the transfer entropy; significant multiplets are associated to informational circuits present in the system, with an informational character (synergetic or redundant) which can be related to the sign of the contribution. We also present preliminary results on an fMRI data set.