The authors prove that spectral clustering on aggregated event counts consistently recovers communities in a new independent-pair Hawkes block model, and that moment estimators for the Hawkes parameters are consistent.
Modelling sparsity, heterogeneity, reciprocity and community structure in temporal interaction data
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CHIP: A Hawkes Process Model for Continuous-time Networks with Scalable and Consistent Estimation
The authors prove that spectral clustering on aggregated event counts consistently recovers communities in a new independent-pair Hawkes block model, and that moment estimators for the Hawkes parameters are consistent.