From Density to Void: Why Brain Networks Fail to Reveal Complex Higher-Order Structures
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908274475925504 |
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| author | Chung, Moo K. El-Yaagoubi, Anass B. Qiu, Anqi Ombao, Hernando |
| author_facet | Chung, Moo K. El-Yaagoubi, Anass B. Qiu, Anqi Ombao, Hernando |
| contents | In brain network analysis using resting-state fMRI, there is growing interest in modeling higher-order interactions beyond simple pairwise connectivity via persistent homology. Despite the promise of these advanced topological tools, robust and consistently observed higher-order interactions over time remain elusive. In this study, we investigate why conventional analyses often fail to reveal complex higher-order structures - such as interactions involving four or more nodes - and explore whether such interactions truly exist in functional brain networks. We utilize a simplicial complex framework often used in persistent homology to address this question. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_14700 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Density to Void: Why Brain Networks Fail to Reveal Complex Higher-Order Structures Chung, Moo K. El-Yaagoubi, Anass B. Qiu, Anqi Ombao, Hernando Neurons and Cognition In brain network analysis using resting-state fMRI, there is growing interest in modeling higher-order interactions beyond simple pairwise connectivity via persistent homology. Despite the promise of these advanced topological tools, robust and consistently observed higher-order interactions over time remain elusive. In this study, we investigate why conventional analyses often fail to reveal complex higher-order structures - such as interactions involving four or more nodes - and explore whether such interactions truly exist in functional brain networks. We utilize a simplicial complex framework often used in persistent homology to address this question. |
| title | From Density to Void: Why Brain Networks Fail to Reveal Complex Higher-Order Structures |
| topic | Neurons and Cognition |
| url | https://arxiv.org/abs/2503.14700 |