A parallel prefix scan on sparse transition matrices computes the exact likelihood for linear exponential Hawkes processes in O(N/P) time.
Statistical Models for Earthquake Occurrences and Residual Analysis for Point Processes.Journal of the American Statistical Association, 83(401):9–27, March 1988
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Massively Parallel Exact Inference for Hawkes Processes
A parallel prefix scan on sparse transition matrices computes the exact likelihood for linear exponential Hawkes processes in O(N/P) time.