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arXiv

MHG-FM jointly generates structural and functional brain connectivity via multimodal hypergraph flow matching, beating several baselines on HCP-YA with about 8x faster sampling

The work proposes a Multimodal Hypergraph Flow Matching (MHG-FM) framework that builds modality-specific hypergraphs, learns higher-order representations with Hypergraph Neural Network (HGNN) encoders, performs bidirectional cross-modal fusion via Dual Cross-Attention (DCA), and maps fused representations into a compact latent space with a variational autoencoder, where conditional flow matching enables joint structural connectivity (SC) and functional connectivity (FC) generation and cross-modal translation; on the Human Connectome Project Young Adult (HCP-YA) dataset it outperforms several state-of-the-art baselines in reconstruction quality, topology preservation, distributional similarity, and SC-FC coupling, while sampling about 8x faster than a matched diffusion backbone.