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From pairwise to higher-order brain community detection: A hypergraph signal processing approach on brain functional
Breno C Bispo1, José R de Oliveira Neto1, Juliano B Lima1
1Department of Electronics and Systems, Federal University of Pernambuco, Recife, Brazil.
Computers in Biology and Medicine
|December 26, 2025
Summary
This study introduces a new hypergraph framework to reveal complex brain connectivity patterns missed by traditional methods. It uncovers higher-order brain structures and cross-network interactions, offering insights into brain organization.
Area of Science:
- Neuroscience
- Network Science
- Computational Biology
Background:
- Traditional network theory struggles to capture complex, non-pairwise brain interactions.
- Existing hypergraph methods often rely on approximations, limiting their ability to represent true higher-order relationships.
- Understanding higher-order brain functional connectivity is crucial for neuroscience.
Purpose of the Study:
- To develop a novel community detection framework for analyzing higher-order functional connectivity in the brain.
- To identify neurobiologically interpretable brain structures using advanced mathematical tools.
- To overcome limitations of traditional graph-based approaches in capturing complex brain interactions.
Main Methods:
- Integration of multivariate information-theoretic measures with hypergraph signal processing.
- Application to real-world resting-state fMRI data.
- Comparative analysis of hypergraph and graph clustering models.
Main Results:
- Identification of brain communities previously elusive to conventional graph-based methods.
- Discovery of cross-network integrative patterns across distinct functional subsystems.
- Demonstration of hypergraph modes revealing complex, higher-order brain organization.
Conclusions:
- The novel hypergraph framework effectively analyzes higher-order functional connectivity.
- Findings provide new insights into the brain's large-scale organization, including the redundancy-synergy balance.
- The approach holds promise for clinical applications in studying brain disorders with disrupted connectivity.
