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Paper · arXiv

Martingale Posterior Cox Processes

Cox processes provide a principled Bayesian nonparametric framework for modeling event-based data through an underlying intensity function. However, existing inference methods for estimating the intensity typically rely on computationally expensive Markov chain Monte Carlo sampling or approximate inference techniques. In addition, to ensure tractability, these methods often define priors over indirect latent structures, making them challenging to interpret. In this paper, we introduce the Martingale Posterior Cox Process (MPCP), which recasts Bayesian intensity estimation as inference over unobserved events given the observed event history. This perspective avoids the need to define compl...

AuthorsJoshua Rooijakkers, Edwin Fong
Primary categorystat.ML
Published17 October 2026
Last updated at source17 October 2026
stat.MLcs.LGstat.ME
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