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Higher-order link prediction via local information.

Bo Liu1,2, Rongmei Yang1, Linyuan Lü1,2,3

  • 1Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610054, People's Republic of China.

Chaos (Woodbury, N.Y.)
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Summary
This summary is machine-generated.

This study introduces two new methods, simplicial decomposition weight and closed ratio weight, for predicting future higher-order interactions in complex networks. These local feature-based approaches outperform existing benchmarks for higher-order link prediction.

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Area of Science:

  • Network Science
  • Complex Systems Analysis
  • Data Mining

Background:

  • Higher-order link prediction is crucial for accurately modeling complex systems.
  • Traditional pairwise networks lack the detail of higher-order networks.
  • Predicting higher-order links is challenging due to network complexity.

Purpose of the Study:

  • To develop efficient and concise higher-order link prediction algorithms using local features.
  • To introduce novel similarity metrics for predicting future higher-order interactions (simplices) in simplicial networks.

Main Methods:

  • Proposed two similarity metrics: simplicial decomposition weight and closed ratio weight.
  • These metrics capture local higher-order information through simplex decomposition and clique states.
  • Evaluated performance on eight empirical simplicial networks.

Main Results:

  • The proposed metrics outperform existing benchmarks in predicting third-order and fourth-order interactions.
  • The algorithms demonstrate robust performance across various training set sizes.
  • Local features prove advantageous for higher-order link prediction.

Conclusions:

  • The novel metrics provide an effective approach for higher-order link prediction.
  • The findings highlight the importance of local features in complex network analysis.
  • The proposed algorithms offer a promising direction for future research in network science.