4 papers
Graphon Hawkes Processes: Sparse Estimation and Network Recovery
Justin R. Baars, Roger J. A. Laeven, Michel R. H. Mandjes
Learning interaction structures from spatiotemporal event data is a key statistical problem in fields such as neuroscience, epidemiology, and seismology. We study this problem for…
Asymptotically distribution-free goodness-of-fit testing for point processes
Justin Baars, Justin R. Baars, Sami Umut Can +1
Consider an observed path from a multivariate temporal point process with law on the time interval . To test the null hypothesis that belongs to…
Spatiotemporal Hawkes processes with a graphon-induced connectivity structure
Justin Baars, Roger J. A. Laeven, Michel Mandjes
We introduce a spatiotemporal self-exciting point process , boundedly finite both over time and space , with excitation structure determined by a…
Delayed Hawkes birth-death processes
Justin Baars, Roger J. A. Laeven, Michel Mandjes
We introduce, and formally establish, a variant of the Hawkes-fed birth-death process -- the delayed Hawkes birth-death process -- in which the conditional intensity does not incre…