PAC-KENReg: An interpretable hypergraph framework capturing nonlinear and dynamic functional connectivity for
Haotao Yan1, Peizhou Wang2, Xiuwei Lin1
1Guangdong Provincial Key Laboratory of Industrial Intelligent Inspection Technology, Foshan University, Foshan 528000, China.
Computer Methods and Programs in Biomedicine
|April 9, 2026
Summary
This study introduces a new hypergraph framework, PAC-KENReg, for analyzing brain connectivity in psychiatric disorders. It improves diagnostic accuracy for Major Depressive Disorder and Attention Deficit Hyperactivity Disorder by capturing nonlinear interactions and neurophysiological data.
Area of Science:
- Neuroscience
- Computational Psychiatry
- Network Science
Background:
- Hypergraph analysis is key for modeling brain connectivity in psychiatric disorders.
- Existing methods struggle with nonlinear interactions and lack neurophysiological meaning in hyperedge weights.
Purpose of the Study:
- To develop an enhanced hypergraph framework integrating nonlinear modeling and neurophysiological information.
- To analyze both static and dynamic functional brain networks for psychiatric disorder research.
Main Methods:
- Introduced "Phase-Amplitude Coupling-weighted Kernelized Elastic Net Regularization" (PAC-KENReg).
- Utilized kernelized Elastic Net for high-order nonlinear interactions and hypergraph topology.
- Weighted hyperedges with phase-amplitude coupling (PAC) strength for neurophysiological insight.
- Extended to dynamic analysis using temporal stability matrices.
Main Results:
- Achieved 78.39% classification accuracy for Major Depressive Disorder (MDD) on EEG data.
- Demonstrated superior discriminative power for Attention Deficit Hyperactivity Disorder (ADHD).
- Identified key pathology-associated brain regions and abnormal dynamic connectivity profiles.
Conclusions:
- PAC-KENReg offers a robust and interpretable tool for brain connectivity analysis.
- Provides an effective computational approach for objective diagnosis and mechanistic investigation of psychiatric disorders.


