Disentangling Hyperedges through the Lens of Category Theory
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911218411765760 |
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| author | Lee, Yoonho Lee, Junseok Seo, Sangwoo Kim, Sungwon Kim, Yeongmin Park, Chanyoung |
| author_facet | Lee, Yoonho Lee, Junseok Seo, Sangwoo Kim, Sungwon Kim, Yeongmin Park, Chanyoung |
| contents | Despite the promising results of disentangled representation learning in discovering latent patterns in graph-structured data, few studies have explored disentanglement for hypergraph-structured data. Integrating hyperedge disentanglement into hypergraph neural networks enables models to leverage hidden hyperedge semantics, such as unannotated relations between nodes, that are associated with labels. This paper presents an analysis of hyperedge disentanglement from a category-theoretical perspective and proposes a novel criterion for disentanglement derived from the naturality condition. Our proof-of-concept model experimentally showed the potential of the proposed criterion by successfully capturing functional relations of genes (nodes) in genetic pathways (hyperedges). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_16289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Disentangling Hyperedges through the Lens of Category Theory Lee, Yoonho Lee, Junseok Seo, Sangwoo Kim, Sungwon Kim, Yeongmin Park, Chanyoung Machine Learning Artificial Intelligence Despite the promising results of disentangled representation learning in discovering latent patterns in graph-structured data, few studies have explored disentanglement for hypergraph-structured data. Integrating hyperedge disentanglement into hypergraph neural networks enables models to leverage hidden hyperedge semantics, such as unannotated relations between nodes, that are associated with labels. This paper presents an analysis of hyperedge disentanglement from a category-theoretical perspective and proposes a novel criterion for disentanglement derived from the naturality condition. Our proof-of-concept model experimentally showed the potential of the proposed criterion by successfully capturing functional relations of genes (nodes) in genetic pathways (hyperedges). |
| title | Disentangling Hyperedges through the Lens of Category Theory |
| topic | Machine Learning Artificial Intelligence |
| url | https://arxiv.org/abs/2510.16289 |