HyperMIL: Hypergraph-based channel reasoning for Multiple Instance Learning on Multivariate Time Series

Multivariate time series classification often relies on Multiple Instance Learning (MIL) due to the scarcity of fine-grained labels. However, existing MIL methods typically ignore high-order dependencies between channels, which are critical for capturing coordinated sensor dynamics. We propose HyperMIL, a framework that leverages hypergraph-based reasoning to model these complex interactions. HyperMIL constructs dynamic hypergraphs by mapping multivariate signals to self-learned latent prototypes, allowing the model to group channels into high-order hyperedges without a predefined topology. These enriched representations are then aggregated via a MIL pooling mechanism for bag-level classification. Our experiments demonstrate that HyperMIL achieves state-of-the-art performance across several benchmarks and provides interpretability by identifying key coordinated channel patterns.