Learning High-Order Relationships of Brain Regions
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Abstract (arXiv)
Discovering reliable and informative relationships among brain regions from functional magnetic resonance imaging (fMRI) signals is essential in phenotypic predictions. Most of the current methods fail to accurately characterize those interactions because they only focus on pairwise connections and overlook the high-order relationships of brain regions. We propose that these high-order relationships should be maximally informative and minimally redundant (MIMR). However, identifying such high-order relationships is challenging and under-explored due to the exponential search space and the absence of a tractable objective. In response to this gap, we propose a novel method named HYBRID which aims to extract MIMR high-order relationships from fMRI data. HYBRID employs a CONSTRUCTOR to identify hyperedge structures, and a WEIGHTER to compute a weight for each hyperedge, which avoids searching in exponential space. HYBRID achieves the MIMR objective through an innovative information bottleneck framework named multi-head drop-bottleneck with theoretical guarantees. Our comprehensive experiments demonstrate the effectiveness of our model. Our model outperforms the state-of-the-art predictive model by an average of 11.2%, regarding the quality of hyperedges measured by CPM, a standard protocol for studying brain connections.
Key facts. Cited by 10 papers in the map (data through 7 Oct 2026). Builds on 39 of its 90 references that are in the map. First posted on arXiv 2 Dec 2023.
Builds on
39 of 90 references.
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Citing papers per year: 2025: 8; 2026: 2.
10 papers.
- 2025MindLLM: A Subject-Agnostic and Versatile Model for fMRI-to-Text Decodingcited by 14
- 2025Rethinking Functional Brain Connectome Analysis: Do Graph Deep Learning Models Helpcited by 8
- 2025MvHo-IB: Multi-View Higher-Order Information Bottleneck for Brain Disorder Diagnosiscited by 8
- 2026Modeling Higher-Order Brain Interactions via a Multi-View Information Bottleneck Framework for fMRI-based Psychiatric Diagnosiscited by 3
- 2025NeuroTree: Hierarchical Functional Brain Pathway Decoding for Mental Health Disorderscited by 1
- 2025Beyond Pairwise Connections: Extracting High-Order Functional Brain Network Structures under Global Constraintscited by 1
- 2025On the Limits of Applying Graph Transformers for Brain Connectome Classificationcited by 0
- 2025Brain PathoGraph Learningcited by 0
- 2025Fundamental Limits of Crystalline Equivariant Graph Neural Networks: A Circuit Complexity Perspectivecited by 0
- 2026Learning Multi-Scale Hypergraph for High-Order Brain Connectivity Analysiscited by 0
- 2026Learning Multi-Scale Hypergraph for High-Order Brain Connectivity Analysis2 Jun 2026
- 2026Modeling Higher-Order Brain Interactions via a Multi-View Information Bottleneck Framework for fMRI-based Psychiatric Diagnosis20 Apr 2026
- 2025Beyond Pairwise Connections: Extracting High-Order Functional Brain Network Structures under Global Constraints10 Oct 2025
- 2025Fundamental Limits of Crystalline Equivariant Graph Neural Networks: A Circuit Complexity Perspective7 Oct 2025
- 2025Brain PathoGraph Learning26 Sep 2025
- 2025MvHo-IB: Multi-View Higher-Order Information Bottleneck for Brain Disorder Diagnosis3 Jul 2025
- 2025On the Limits of Applying Graph Transformers for Brain Connectome Classification20 Mar 2025
- 2025NeuroTree: Hierarchical Functional Brain Pathway Decoding for Mental Health Disorders26 Feb 2025
- 2025MindLLM: A Subject-Agnostic and Versatile Model for fMRI-to-Text Decoding18 Feb 2025
- 2025Rethinking Functional Brain Connectome Analysis: Do Graph Deep Learning Models Help28 Jan 2025