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Poisson random fields for dynamic feature models
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Perrone, Valerio, Jenkins, Paul, Spanò, Dario and Teh, Yee Whye (2018) Poisson random fields for dynamic feature models. Journal of Machine Learning Research, 18 (1). 4626-4670 .
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Official URL: https://dl.acm.org/citation.cfm?id=3208008
Abstract
We present the Wright-Fisher Indian buffet process (WF-IBP), a probabilistic model for time-dependent data assumed to have been generated by an unknown number of latent features. This model is suitable as a prior in Bayesian nonparametric feature allocation models in which the features underlying the observed data exhibit a dependency structure over time. More specifically, we establish a new framework for generating dependent Indian buffet processes, where the Poisson random field model from population genetics is used as a way of constructing dependent beta processes. Inference in the model is complex, and we describe a sophisticated Markov Chain Monte Carlo algorithm for exact posterior simulation. We apply our construction to develop a nonparametric focused topic model for collections of time-stamped text documents and test it on the full corpus of NIPS papers published from 1987 to 2015.
| Item Type: | Journal Article | |||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||||||||
| Divisions: | Faculty of Science > Computer Science Faculty of Science > Statistics |
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| Library of Congress Subject Headings (LCSH): | Bayesian statistical decision theory, Markov processes, Monte Carlo method | |||||||||||||||||||||
| Journal or Publication Title: | Journal of Machine Learning Research | |||||||||||||||||||||
| Publisher: | Journal of Machine Learning Research | |||||||||||||||||||||
| ISSN: | 1532-4435 | |||||||||||||||||||||
| Official Date: | 31 January 2018 | |||||||||||||||||||||
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| Date of first compliant deposit: | 3 January 2018 | |||||||||||||||||||||
| Volume: | 18 | |||||||||||||||||||||
| Number: | 1 | |||||||||||||||||||||
| Page Range: | 4626-4670 | |||||||||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||||||||
| Publication Status: | Published | |||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||
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