Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis
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...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-03-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.013184 |
| _version_ | 1797210763098587136 |
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| author | Tomas Scagliarini Daniele Marinazzo Yike Guo Sebastiano Stramaglia Fernando E. Rosas |
| author_facet | Tomas Scagliarini Daniele Marinazzo Yike Guo Sebastiano Stramaglia Fernando E. Rosas |
| author_sort | Tomas Scagliarini |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-24T10:15:45Z |
| format | Article |
| id | doaj.art-07cb4e5d4e5d4b6a893940d7af34f670 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:45Z |
| publishDate | 2022-03-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-07cb4e5d4e5d4b6a893940d7af34f6702024-04-12T17:18:42ZengAmerican Physical SocietyPhysical Review Research2643-15642022-03-014101318410.1103/PhysRevResearch.4.013184Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysisTomas ScagliariniDaniele MarinazzoYike GuoSebastiano StramagliaFernando E. RosasHigh-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.http://doi.org/10.1103/PhysRevResearch.4.013184 |
| spellingShingle | Tomas Scagliarini Daniele Marinazzo Yike Guo Sebastiano Stramaglia Fernando E. Rosas Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis Physical Review Research |
| title | Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis |
| title_full | Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis |
| title_fullStr | Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis |
| title_full_unstemmed | Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis |
| title_short | Quantifying high-order interdependencies on individual patterns via the local O-information: Theory and applications to music analysis |
| title_sort | quantifying high order interdependencies on individual patterns via the local o information theory and applications to music analysis |
| url | http://doi.org/10.1103/PhysRevResearch.4.013184 |
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