{"id":561483,"date":"2019-01-16T10:07:23","date_gmt":"2019-01-16T18:07:23","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&p=561483"},"modified":"2019-01-16T10:07:23","modified_gmt":"2019-01-16T18:07:23","slug":"poisson-gamma-dynamical-systems","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/poisson-gamma-dynamical-systems\/","title":{"rendered":"Poisson\u2013Gamma Dynamical Systems"},"content":{"rendered":"

This paper presents a dynamical system based on the Poisson-Gamma construction for sequentially observed multivariate count data. Inherent to the model is a novel Bayesian nonparametric prior that ties and shrinks parameters in a powerful way. We develop theory about the model’s infinite limit and its steady-state. The model’s inductive bias is demonstrated on a variety of real-world datasets where it is shown to learn interpretable structure and have superior predictive performance.<\/p>\n","protected":false},"excerpt":{"rendered":"

This paper presents a dynamical system based on the Poisson-Gamma construction for sequentially observed multivariate count data. Inherent to the model is a novel Bayesian nonparametric prior that ties and shrinks parameters in a powerful way. We develop theory about the model’s infinite limit and its steady-state. The model’s inductive bias is demonstrated on a 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