Filtering higher-order datasets

Many complex systems often contain interactions between more than two nodes, known as higher-order interactions , which can change the structure of these systems in significant ways. Researchers often assume that all interactions paint a consistent picture of a higher-order dataset’s structure. In c...

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Bibliographic Details
Published in:Journal of physic, complexity complexity, 2024-03, Vol.5 (1), p.15006
Main Authors: Landry, Nicholas W, Amburg, Ilya, Shi, Mirah, Aksoy, Sinan G
Format: Article
Language:English
Subjects:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
data analysis
filtering
higher-order networks
hypergraphs
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Summary:Many complex systems often contain interactions between more than two nodes, known as higher-order interactions , which can change the structure of these systems in significant ways. Researchers often assume that all interactions paint a consistent picture of a higher-order dataset’s structure. In contrast, the connection patterns of individuals or entities in empirical systems are often stratified by interaction size. Ignoring this fact can aggregate connection patterns that exist only at certain scales of interaction. To isolate these scale-dependent patterns, we present an approach for analyzing higher-order datasets by filtering interactions by their size. We apply this framework to several empirical datasets from three domains to demonstrate that data practitioners can gain valuable information from this approach.
ISSN:2632-072X
2632-072X
DOI:10.1088/2632-072X/ad253a