Redundant variables and Granger causality

被引：35

作者：

Angelini, L. ^{[1
,2
]}

de Tommaso, M. ^{[3
]}

Marinazzo, D. ^{[4
]}

Nitti, L. ^{[1
,5
]}

Pellicoro, M. ^{[1
,2
]}

Stramaglia, S. ^{[1
,2
]}

机构：

[1] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy

[2] Univ Bari, Dipartimento Fis, Bari, Italy

[3] Univ Bari, Dipartimento Sci Neurol & Psichiatr, Bari, Italy

[4] Univ Paris 05, CNRS, UMR 8119, Lab Neurophys & Physiol, Paris, France

[5] Univ Bari, Dipartimento Biochim Med Biol Med & Fis Med, Bari, Italy

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 03期

关键词：

TIME-SERIES;

D O I：

10.1103/PhysRevE.81.037201

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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

引用

页数：4

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