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Simplicial closure and higher-order link prediction.

Austin R Benson1, Rediet Abebe1, Michael T Schaub2,3

  • 1Department of Computer Science, Cornell University, Ithaca, NY 14853.

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PubMed
Summary
This summary is machine-generated.

This study explores higher-order interactions in complex systems beyond simple pairwise links. We found consistent higher-order structures across system types and identified factors influencing their organization.

Keywords:
algebraic topologyhigher-orderlink predictionnetwork theorysimplicial complex

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Area of Science:

  • Complex Systems Science
  • Network Science
  • Sociology
  • Computational Biology

Background:

  • Traditional network analysis focuses on pairwise interactions, neglecting multi-node relationships.
  • Higher-order interactions, involving groups rather than pairs, are common in social and biological systems.
  • Empirical study and organizational principles of these higher-order structures remain underexplored.

Purpose of the Study:

  • To investigate the temporal evolution and structural patterns of higher-order interactions.
  • To identify factors influencing the organization of higher-order structures.
  • To establish a benchmark for predicting higher-order interactions.

Main Methods:

  • Analysis of 19 diverse datasets with explicit accounting for higher-order interactions.
  • Examination of temporal dynamics and structural properties.
  • Development and application of higher-order link prediction as a benchmark.

Main Results:

  • Observed a rich variety of higher-order structures, with consistent patterns within similar system types.
  • Identified tie strength and edge density as competing positive indicators of higher-order organization.
  • Found that local information is more crucial than long-range information for predicting new higher-order interactions.

Conclusions:

  • Higher-order interactions exhibit consistent organizational principles across different systems.
  • Higher-order link prediction differs fundamentally from pairwise prediction, relying more on local context.
  • The proposed benchmark facilitates the systematic study of theories for higher-order structures.