A signal-to-noise ratio and Bethe Hessian for non-uniform hypergraphs under the HSBM characterize higher-order detectability trade-offs, with spectral thresholds diverging from belief propagation in non-uniform cases.
Spectral detection on sparse hypergraphs
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Higher order trade-offs in hypergraph community detection
A signal-to-noise ratio and Bethe Hessian for non-uniform hypergraphs under the HSBM characterize higher-order detectability trade-offs, with spectral thresholds diverging from belief propagation in non-uniform cases.