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Paper · arXiv

Poisson-Gamma Dynamical Systems with Time-varying Transition Dynamics

Bayesian methodologies for handling count-valued time series have gained prominence due to their ability to infer interpretable latent structures and to estimate uncertainties. Among these Bayesian models, Poisson-Gamma Dynamical Systems (PGDSs) are proven to be effective in capturing the evolving dynamics underlying observed count sequences. However, the state-of-the-art PGDS still falls short in capturing the transition dynamics that are commonly observed in real-world count time series. To mitigate this limitation, a PGDS with time-varying transition kernel (TV-PGDS), is proposed to allow the underlying transition matrices to evolve over time. Three specifically-designed Dirichlet Mark...

AuthorsJiahao Wang, Yijun Wang, Nan Fang et al.
Primary categorycs.LG
Published1 September 2026
Last updated at source1 September 2026
cs.LG
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