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Main Authors: Zhan, Ling, Huang, Junjie, Yu, Xiaoyao, Chen, Wenyu, Jia, Tao
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.09175
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author Zhan, Ling
Huang, Junjie
Yu, Xiaoyao
Chen, Wenyu
Jia, Tao
author_facet Zhan, Ling
Huang, Junjie
Yu, Xiaoyao
Chen, Wenyu
Jia, Tao
contents Functional brain network (FBN) modeling often relies on local pairwise interactions, whose limitation in capturing high-order dependencies is theoretically analyzed in this paper. Meanwhile, the computational burden and heuristic nature of current hypergraph modeling approaches hinder end-to-end learning of FBN structures directly from data distributions. To address this, we propose to extract high-order FBN structures under global constraints, and implement this as a Global Constraints oriented Multi-resolution (GCM) FBN structure learning framework. It incorporates 4 types of global constraint (signal synchronization, subject identity, expected edge numbers, and data labels) to enable learning FBN structures for 4 distinct levels (sample/subject/group/project) of modeling resolution. Experimental results demonstrate that GCM achieves up to a 30.6% improvement in relative accuracy and a 96.3% reduction in computational time across 5 datasets and 2 task settings, compared to 9 baselines and 10 state-of-the-art methods. Extensive experiments validate the contributions of individual components and highlight the interpretability of GCM. This work offers a novel perspective on FBN structure learning and provides a foundation for interdisciplinary applications in cognitive neuroscience. Code is publicly available on https://github.com/lzhan94swu/GCM.
format Preprint
id arxiv_https___arxiv_org_abs_2510_09175
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Beyond Pairwise Connections: Extracting High-Order Functional Brain Network Structures under Global Constraints
Zhan, Ling
Huang, Junjie
Yu, Xiaoyao
Chen, Wenyu
Jia, Tao
Machine Learning
Functional brain network (FBN) modeling often relies on local pairwise interactions, whose limitation in capturing high-order dependencies is theoretically analyzed in this paper. Meanwhile, the computational burden and heuristic nature of current hypergraph modeling approaches hinder end-to-end learning of FBN structures directly from data distributions. To address this, we propose to extract high-order FBN structures under global constraints, and implement this as a Global Constraints oriented Multi-resolution (GCM) FBN structure learning framework. It incorporates 4 types of global constraint (signal synchronization, subject identity, expected edge numbers, and data labels) to enable learning FBN structures for 4 distinct levels (sample/subject/group/project) of modeling resolution. Experimental results demonstrate that GCM achieves up to a 30.6% improvement in relative accuracy and a 96.3% reduction in computational time across 5 datasets and 2 task settings, compared to 9 baselines and 10 state-of-the-art methods. Extensive experiments validate the contributions of individual components and highlight the interpretability of GCM. This work offers a novel perspective on FBN structure learning and provides a foundation for interdisciplinary applications in cognitive neuroscience. Code is publicly available on https://github.com/lzhan94swu/GCM.
title Beyond Pairwise Connections: Extracting High-Order Functional Brain Network Structures under Global Constraints
topic Machine Learning
url https://arxiv.org/abs/2510.09175