Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis
File(s)
Published version
Author(s)
Scagliarini, Tomas
Marinazzo, Daniele
Guo, Yike
Stramaglia, Sebastiano
Rosas, Fernando E
Type
Journal Article
Abstract
High-order, beyond-pairwise interdependencies are at the core of biological, economic, and social complex systems, and their adequate analysis is paramount to understand, engineer, and control such systems. This paper presents a framework to measure high-order interdependence that disentangles their effect on each individual pattern exhibited by a multivariate system. The approach is centered on the local O-information, a new measure that assesses the balance between synergistic and redundant interdependencies at each pattern. To illustrate the potential of this framework, we present a detailed analysis of music scores from J. S. Bach, which reveals how high-order interdependence is deeply connected with highly nontrivial aspects of the musical discourse. Our results place the local O-information as a promising tool of wide applicability, which opens other perspectives for analyzing high-order relationships in the patterns exhibited by complex systems.
Date Issued
2022-03-04
Date Acceptance
2022-02-10
Citation
Physical Review Research, 2022, 4 (1)
ISSN
2643-1564
Publisher
American Physical Society
Journal / Book Title
Physical Review Research
Volume
4
Issue
1
Copyright Statement
© 2022 The Author(s). Published by the American Physical Society under the terms of the
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
Creative Commons Attribution 4.0 International license. Further
distribution of this work must maintain attribution to the author(s)
and the published article’s title, journal citation, and DOI.
License URL
Identifier
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000768378400002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
Subjects
Science & Technology
Physical Sciences
Physics, Multidisciplinary
Physics
REDUNDANCY
SYNERGY
DECOMPOSITION
INDEPENDENCE
COMPLEXITY
Publication Status
Published
Article Number
ARTN 013184