Synergistic signatures of group mechanisms in higher-order systems
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909574386155520 |
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| author | Robiglio, Thomas Neri, Matteo Coppes, Davide Agostinelli, Cosimo Battiston, Federico Lucas, Maxime Petri, Giovanni |
| author_facet | Robiglio, Thomas Neri, Matteo Coppes, Davide Agostinelli, Cosimo Battiston, Federico Lucas, Maxime Petri, Giovanni |
| contents | The interplay between causal mechanisms and emerging collective behaviors is a central aspect of understanding, controlling, and predicting complex networked systems. In our work, we investigate the relationship between higher-order mechanisms and higher-order behavioral observables in two representative models with group interactions: a simplicial Ising model and a social contagion model. In both systems, we find that group (higher-order) interactions show emergent synergistic (higher-order) behavior. The emergent synergy appears only at the group level and depends in a complex, non-linear way on the trade-off between the strengths of the low- and higher-order mechanisms and is invisible to low-order behavioral observables. Our work sets the basis for systematically investigating the relation between causal mechanisms and behavioral patterns in complex networked systems with group interactions, offering a robust methodological framework to tackle this challenging task. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_11588 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Synergistic signatures of group mechanisms in higher-order systems Robiglio, Thomas Neri, Matteo Coppes, Davide Agostinelli, Cosimo Battiston, Federico Lucas, Maxime Petri, Giovanni Physics and Society Statistical Mechanics The interplay between causal mechanisms and emerging collective behaviors is a central aspect of understanding, controlling, and predicting complex networked systems. In our work, we investigate the relationship between higher-order mechanisms and higher-order behavioral observables in two representative models with group interactions: a simplicial Ising model and a social contagion model. In both systems, we find that group (higher-order) interactions show emergent synergistic (higher-order) behavior. The emergent synergy appears only at the group level and depends in a complex, non-linear way on the trade-off between the strengths of the low- and higher-order mechanisms and is invisible to low-order behavioral observables. Our work sets the basis for systematically investigating the relation between causal mechanisms and behavioral patterns in complex networked systems with group interactions, offering a robust methodological framework to tackle this challenging task. |
| title | Synergistic signatures of group mechanisms in higher-order systems |
| topic | Physics and Society Statistical Mechanics |
| url | https://arxiv.org/abs/2401.11588 |