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Entropy 2018, 20(4), 307; https://doi.org/10.3390/e20040307

Information Decomposition of Target Effects from Multi-Source Interactions: Perspectives on Previous, Current and Future Work

1
Complex Systems Research Group and Centre for Complex Systems, Faculty of Engineering & IT, The University of Sydney, NSW 2006, Australia
2
Frankfurt Institute of Advanced Studies (FIAS) and Goethe University, 60438 Frankfurt am Main, Germany
3
Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, Germany
4
Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA
5
MEG Unit, Brain Imaging Center, Goethe University, 60528 Frankfurt, Germany
6
Max Planck Institute for Dynamics and Self-Organization, 37077 Göttingen, Germany
*
Author to whom correspondence should be addressed.
Received: 19 April 2018 / Revised: 19 April 2018 / Accepted: 19 April 2018 / Published: 23 April 2018
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Abstract

The formulation of the Partial Information Decomposition (PID) framework by Williams and Beer in 2010 attracted a significant amount of attention to the problem of defining redundant (or shared), unique and synergistic (or complementary) components of mutual information that a set of source variables provides about a target. This attention resulted in a number of measures proposed to capture these concepts, theoretical investigations into such measures, and applications to empirical data (in particular to datasets from neuroscience). In this Special Issue on “Information Decomposition of Target Effects from Multi-Source Interactions” at Entropy, we have gathered current work on such information decomposition approaches from many of the leading research groups in the field. We begin our editorial by providing the reader with a review of previous information decomposition research, including an overview of the variety of measures proposed, how they have been interpreted and applied to empirical investigations. We then introduce the articles included in the special issue one by one, providing a similar categorisation of these articles into: i. proposals of new measures; ii. theoretical investigations into properties and interpretations of such approaches, and iii. applications of these measures in empirical studies. We finish by providing an outlook on the future of the field. View Full-Text
Keywords: mutual information; information decomposition; unique information; redundant information; complementary information; redundancy; synergy mutual information; information decomposition; unique information; redundant information; complementary information; redundancy; synergy
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Lizier, J.T.; Bertschinger, N.; Jost, J.; Wibral, M. Information Decomposition of Target Effects from Multi-Source Interactions: Perspectives on Previous, Current and Future Work. Entropy 2018, 20, 307.

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