<ul><li>Introduction of hypergraph lower Ricci curvature (HLRC) to address challenges in geometric characterization of networks with higher-order interactions.</li><li>HLRC achieves a balance between interpretability and efficiency by offering a novel curvature metric for hypergraphs.</li><li>Evaluated on synthetic and real-world hypergraph datasets, HLRC consistently reveals meaningful higher-order organization and supports tasks like node classification and anomaly detection.</li><li>HLRC unifies geometric sensitivity with algorithmic simplicity, providing a versatile foundation for hypergraph analytics with implications for complex systems.</li></ul>

Lower Ricci Curvature for Hypergraphs

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