A tutorial on Bayesian nonparametric models

SJ Gershman, DM Blei - Journal of Mathematical Psychology, 2012 - Elsevier
A key problem in statistical modeling is model selection, that is, how to choose a model at an
appropriate level of complexity. This problem appears in many settings, most prominently in …

Hierarchical Bayesian nonparametric models with applications

YW Teh, MI Jordan - Bayesian nonparametrics, 2010 - books.google.com
Hierarchical modeling is a fundamental concept in Bayesian statistics. The basic idea is that
parameters are endowed with distributions which may themselves introduce new …

[图书][B] Bayesian disease mapping: hierarchical modeling in spatial epidemiology

AB Lawson - 2018 - taylorfrancis.com
Since the publication of the second edition, many new Bayesian tools and methods have
been developed for space-time data analysis, the predictive modeling of health outcomes …

The dependent Dirichlet process and related models

FA Quintana, P Müller, A Jara… - Statistical Science, 2022 - projecteuclid.org
Standard regression approaches assume that some finite number of the response
distribution characteristics, such as location and scale, change as a (parametric or …

The nested chinese restaurant process and bayesian nonparametric inference of topic hierarchies

DM Blei, TL Griffiths, MI Jordan - Journal of the ACM (JACM), 2010 - dl.acm.org
We present the nested Chinese restaurant process (nCRP), a stochastic process that
assigns probability distributions to ensembles of infinitely deep, infinitely branching trees …

Bayesian cluster analysis: Point estimation and credible balls (with discussion)

S Wade, Z Ghahramani - 2018 - projecteuclid.org
Bayesian Cluster Analysis: Point Estimation and Credible Balls (with Discussion) Page 1
Bayesian Analysis (2018) 13, Number 2, pp. 559–626 Bayesian Cluster Analysis: Point …

[PDF][PDF] Distance dependent Chinese restaurant processes.

DM Blei, PI Frazier - Journal of Machine Learning Research, 2011 - jmlr.org
We develop the distance dependent Chinese restaurant process, a flexible class of
distributions over partitions that allows for dependencies between the elements. This class …

The nested Dirichlet process

A Rodriguez, DB Dunson… - Journal of the American …, 2008 - Taylor & Francis
In multicenter studies, subjects in different centers may have different outcome distributions.
This article is motivated by the problem of nonparametric modeling of these distributions …

Kernel stick-breaking processes

DB Dunson, JH Park - Biometrika, 2008 - academic.oup.com
We propose a class of kernel stick-breaking processes for uncountable collections of
dependent random probability measures. The process is constructed by first introducing an …

[HTML][HTML] DPpackage: Bayesian semi-and nonparametric modeling in R

A Jara, TE Hanson, FA Quintana, P Müller… - Journal of statistical …, 2011 - ncbi.nlm.nih.gov
Data analysis sometimes requires the relaxation of parametric assumptions in order to gain
modeling flexibility and robustness against mis-specification of the probability model. In the …