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Sattari S, Basak US, James RG, Perrin LW, Crutchfield JP, Komatsuzaki T. Modes of information flow in collective cohesion. SCIENCE ADVANCES 2022; 8:eabj1720. [PMID: 35138896 PMCID: PMC8827646 DOI: 10.1126/sciadv.abj1720] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/25/2021] [Accepted: 12/20/2021] [Indexed: 05/23/2023]
Abstract
Pairwise interactions are fundamental drivers of collective behavior-responsible for group cohesion. The abiding question is how each individual influences the collective. However, time-delayed mutual information and transfer entropy, commonly used to quantify mutual influence in aggregated individuals, can result in misleading interpretations. Here, we show that these information measures have substantial pitfalls in measuring information flow between agents from their trajectories. We decompose the information measures into three distinct modes of information flow to expose the role of individual and group memory in collective behavior. It is found that decomposed information modes between a single pair of agents reveal the nature of mutual influence involving many-body nonadditive interactions without conditioning on additional agents. The pairwise decomposed modes of information flow facilitate an improved diagnosis of mutual influence in collectives.
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Affiliation(s)
- Sulimon Sattari
- Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University Kita 20, Nishi 10, Kita-ku, Sapporo, Hokkaido 001-0020, Japan
| | - Udoy S. Basak
- Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University Kita 20, Nishi 10, Kita-ku, Sapporo, Hokkaido 001-0020, Japan
- Pabna University of Science and Technology, Pabna 6600, Bangladesh
| | - Ryan G. James
- Reddit Inc., 420 Taylor Street, San Francisco, CA 94102, USA
- Department of Physics, Complexity Sciences Center, University of California, Davis, Davis, CA 95616, USA
| | - Louis W. Perrin
- Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University Kita 20, Nishi 10, Kita-ku, Sapporo, Hokkaido 001-0020, Japan
- École Normale Supérieure de Rennes, Robert Schumann, Campus de, Av. de Ker Lann, 35170 Bruz, France
| | - James P. Crutchfield
- Department of Physics, Complexity Sciences Center, University of California, Davis, Davis, CA 95616, USA
| | - Tamiki Komatsuzaki
- Research Center of Mathematics for Social Creativity, Research Institute for Electronic Science, Hokkaido University Kita 20, Nishi 10, Kita-ku, Sapporo, Hokkaido 001-0020, Japan
- Institute for Chemical Reaction Design and Discovery (WPI-ICReDD), Hokkaido University Kita 21 Nishi 10, Kita-ku, Sapporo, Hokkaido 001-0021, Japan
- Graduate School of Chemical Sciences and Engineering Materials Chemistry and Energy Course, Hokkaido University Kita 13, Nishi 8, Kita-ku Sapporo, Hokkaido 060-0812, Japan
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