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Abstract: We discuss the use of multivariate Granger causality in presence of redundantvariables: the application of the standard analysis, in this case, leads tounder-estimation of causalities. Using the un-normalized version of thecausality index, we quantitatively develop the notions of redundancy andsynergy in the frame of causality and propose two approaches to group redundantvariables: i for a given target, the remaining variables are grouped so as tomaximize the total causality and ii the whole set of variables is partitionedto maximize the sum of the causalities between subsets. We show the applicationto a real neurological experiment, aiming to a deeper understanding of thephysiological basis of abnormal neuronal oscillations in the migraine brain.The outcome by our approach reveals the change in the informational pattern dueto repetitive transcranial magnetic stimulations.



Author: L. Angelini, M. de Tommaso, D. Marinazzo, L. Nitti, M. Pellicoro, S. Stramaglia

Source: https://arxiv.org/



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