Math @ Duke

Publications [#323268] of David B. Dunson
search arxiv.org.Papers Published
 Zhou, M; Hannah, L; Dunson, D; Carin, L, BetaNegative Binomial Process and Poisson Factor Analysis, vol. 22
(January, 2012),
pp. 14621471
(last updated on 2018/09/23)
Abstract: 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 Levy 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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