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Curvature-Guided Sheaf Diffusion for Unsupervised Community Detection on Heterophilic Graphs

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Detecting communities in heterophilic graphs -- where connected nodes often belong to different classes -- is hard for unsupervised methods: classical modularity and spectral methods are feature agnostic, while deep graph-clustering methods rely on contrastive or generative machinery that is opaque. We propose Curvature-Guided Sheaf Diffusion (CGSD), a fully unsupervised community-detection algorithm that uses the discrete Forman--Ricci curvature of each edge as its single topological signal, propagated through every stage of an end-to-end pipeline.

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Curvature-Guided Sheaf Diffusion for Unsupervised Community Detection on Heterophilic Graphs

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