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SDE-Driven Spatio-Temporal Hypergraph Neural Networks for...
[Submitted on 20 Mar 2026 (v1), last revised 23 Jun 2026 (this v · 2026-06-25 · via cs.LG updates on arXiv.org

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Abstract:Longitudinal neuroimaging is essential for modeling disease progression in Alzheimer's disease (AD), yet irregular sampling and missing visits pose substantial challenges for learning reliable temporal representations. To address this challenge, we propose SDE-HGNN, a stochastic differential equation (SDE)-driven spatio-temporal hypergraph neural network for irregular longitudinal fMRI connectome modeling. The framework first employs an SDE-based reconstruction module to recover continuous latent trajectories from irregular observations. Based on these reconstructed representations, dynamic hypergraphs are constructed to capture higher-order interactions among brain regions over time. To further model temporal evolution, hypergraph convolution parameters evolve through SDE-controlled recurrent dynamics conditioned on inter-visit intervals, enabling disease-stage-adaptive connectivity modeling. We also incorporate a sparsity-based importance learning mechanism to identify salient brain regions and discriminative connectivity patterns. Extensive experiments on the OASIS-3 and ADNI cohorts demonstrate consistent improvements over state-of-the-art graph and hypergraph baselines in AD progression prediction. The source code is available at this https URL.

Submission history

From: Ruiying Chen [view email]
[v1] Fri, 20 Mar 2026 19:31:05 UTC (2,045 KB)
[v2] Tue, 23 Jun 2026 22:17:31 UTC (2,040 KB)