Negative binomial process count and mixture modeling

M Zhou, L Carin - IEEE Transactions on Pattern Analysis and …, 2013 - ieeexplore.ieee.org
The seemingly disjoint problems of count and mixture modeling are united under the
negative binomial (NB) process. A gamma process is employed to model the rate measure …

MCMC for normalized random measure mixture models

S Favaro, YW Teh - 2013 - projecteuclid.org
This paper concerns the use of Markov chain Monte Carlo methods for posterior sampling in
Bayesian nonparametric mixture models with normalized random measure priors. Making …

A semiparametric negative binomial generalized linear model for modeling over-dispersed count data with a heavy tail: Characteristics and applications to crash data

M Shirazi, D Lord, SS Dhavala… - Accident Analysis & …, 2016 - Elsevier
Crash data can often be characterized by over-dispersion, heavy (long) tail and many
observations with the value zero. Over the last few years, a small number of researchers …

The discrete infinite logistic normal distribution for mixed-membership modeling

J Paisley, C Wang, D Blei - Proceedings of the Fourteenth …, 2011 - proceedings.mlr.press
We present the discrete infinite logistic normal distribution (DILN,“Dylan”), a Bayesian
nonparametric prior for mixed membership models. DILN is a generalization of the …

Compound random measures and their use in Bayesian non-parametrics

JE Griffin, F Leisen - Journal of the Royal Statistical Society …, 2017 - academic.oup.com
A new class of dependent random measures which we call compound random measures is
proposed and the use of normalized versions of these random measures as priors in …

Bayesian nonparametric Plackett–Luce models for the analysis of preferences for college degree programmes

F Caron, YW Teh, TB Murphy - 2014 - projecteuclid.org
In this paper we propose a Bayesian nonparametric model for clustering partial ranking
data. We start by developing a Bayesian nonparametric extension of the popular Plackett …

Nonparametric Bayesian negative binomial factor analysis

M Zhou - 2018 - projecteuclid.org
Nonparametric Bayesian Negative Binomial Factor Analysis Page 1 Bayesian Analysis (2018)
13, Number 4, pp. 1065–1093 Nonparametric Bayesian Negative Binomial Factor Analysis …

Comparing distributions by using dependent normalized random-measure mixtures

JE Griffin, M Kolossiatis, MFJ Steel - Journal of the Royal …, 2013 - academic.oup.com
A methodology for the simultaneous Bayesian non-parametric modelling of several
distributions is developed. Our approach uses normalized random measures with …

Streaming variational inference for Bayesian nonparametric mixture models

A Tank, N Foti, E Fox - Artificial Intelligence and Statistics, 2015 - proceedings.mlr.press
In theory, Bayesian nonparametric (BNP) models are well suited to streaming data scenarios
due to their ability to adapt model complexity based on the amount of data observed …

On a rapid simulation of the Dirichlet process

M Zarepour, L Al Labadi - Statistics & Probability Letters, 2012 - Elsevier
We describe a simple, yet efficient, procedure for approximating the Lévy measure of a
Gamma (α, 1) random variable. We use this approximation to derive a finite sum …