Log d observation time is sufficient and necessary to exactly recover the latent network for sparse weak-interaction stationary Hawkes processes.
Nonparametric Bayesian estimation for multivariate Hawkes processes.The Annals of Statistics, 48(5):2698 – 2727
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On Observation Time for Recovering Latent Hawkes Networks
Log d observation time is sufficient and necessary to exactly recover the latent network for sparse weak-interaction stationary Hawkes processes.