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New Gaussian Process model enhances analysis of self-exciting count data

Researchers have developed a new statistical model called the Gaussian Process Discrete Hawkes Process (GP-DHP) designed for analyzing discrete-time count data where past events influence future occurrences. This semiparametric model utilizes Gaussian-process priors for both baseline and excitation components, allowing for the estimation of diverse excitation shapes and evolving baselines. The GP-DHP has demonstrated superior or comparable predictive accuracy across various real-world datasets, including disease surveillance, shooting incidents, and terrorism events. AI

IMPACT This model offers improved analytical capabilities for time-series data with self-exciting properties, potentially benefiting fields like epidemiology and public safety.

RANK_REASON The cluster contains a research paper detailing a new statistical model. [lever_c_demoted from research: ic=1 ai=0.7]

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New Gaussian Process model enhances analysis of self-exciting count data

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Trinnhallen Brisley, Gordon Ross, Daniel Paulin ·

    A Semiparametric Discrete Hawkes Model with a Collapsed Gaussian-Process Prior

    arXiv:2509.21996v3 Announce Type: replace Abstract: Hawkes processes are used in settings where past events increase the likelihood of future events occurring, resulting in a natural clustering structure. Traditional Hawkes process models treat events as occurring in continuous t…