Math @ Duke

Publications [#323268] of David B. Dunson
search arxiv.org.Papers Published
 Zhou, M; Hannah, LA; Dunson, DB; Carin, L, Betanegative binomial process and poisson factor analysis,
Journal of Machine Learning Research, vol. 22
(January, 2012),
pp. 14621471
(last updated on 2019/05/23)
Abstract: © Copyright 2012 by the authors. A betanegative binomial (BNB) process is proposed, leading to a betagammaPoisson process, which may be viewed as a "multiscoop" generalization of the betaBernoulli process. The BNB process is augmented into a betagammagammaPoisson hierarchical structure, and applied as a nonparametric Bayesian prior for an infinite Poisson factor analysis model. A finite approximation for the beta process Lévy random measure is constructed for convenient implementation. Efficient MCMC computations are performed with data augmentation and marginalization techniques. Encouraging results are shown on document count matrix factorization.


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