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A natural Bayesian approach for mixture models with an unknown number of components is to take the usual finite mixture model with Dirichlet weights, and put a prior on the number of components---that is, to use a mixture of finite mixtures (MFM).
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A. Nobile · 1994
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J. Pitman · 1996
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Bayesian analysis for a generalised Dirichlet process prior
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Markov chain Monte Carlo in approximate Dirichlet and beta two-parameter process hierarchical models
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Dependent Dirichlet processes
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Inference of population structure using multilocus genotype data
J. K. Pritchard, M. Stephens, and P. Donnelly · 2000
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Speaker verification using adapted Gaussian mixture models
D. A. Reynolds, T. F. Quatieri, and R. B. Dunn · 2000
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Bayesian analysis of mixture models with an unknown number of components—An alternative to reversible jump methods
M. Stephens · 2000
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MLL translocations specify a distinct gene expression profile that distinguishes a unique leukemia
S. A. Armstrong, J. E. Staunton, L. B. Silverman, R. Pieters, M. L. den Boer, M. D. Minden, S. E. Sallan, E. S. Lander, T. R. Golub, and S. J. Korsmeyer · 2001
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S. Jain and R. M. Neal · 2007
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Bayesian nonparametric estimation of the probability of discovering new species
A. Lijoi, R. H. Mena, and I. Prünster · 2007
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Bayesian finite mixtures with an unknown number of components: The allocation sampler
A. Nobile and A. T. Fearnside · 2007
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Stick-breaking construction for the Indian buffet process
Y. W. Teh, D. Görür, and Z. Ghahramani · 2007
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Hierarchical beta processes and the Indian buffet process
R. Thibaux and M. I. Jordan · 2007
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Sampling the Dirichlet mixture model with slices
S. G. Walker · 2007
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Modeling heterogeneity with and without the Dirichlet process
P. J. Green and S. Richardson · 2001
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Gibbs sampling methods for stick-breaking priors
H. Ishwaran and L. F. James · 2001
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Bayesian model selection in finite mixtures by marginal density decompositions
H. Ishwaran, L. F. James, and J. Sun · 2001
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Consistent estimation of mixture complexity
L. F. James, C. E. Priebe, and D. J. Marchette · 2001
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Model-based clustering and data transformations for gene expression data
K. Y. Yeung, C. Fraley, A. Murua, A. E. Raftery, and W. L. Ruzzo · 2001
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A mixture model-based approach to the clustering of microarray expression data
G. J. McLachlan, R. W. Bean, and D. Peel · 2002
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Robust estimation of mixture complexity for count data
M.-J. Woo and T. N. Sriram · 2007
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Generalized Chinese restaurant construction of exchangeable Gibbs partitions and related results
A. Cerquetti · 2008
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Clustering cancer gene expression data: a comparative study
M. C. de Souto, I. G. Costa, D. S. de Araujo, T. B. Ludermir, and A. Schliep · 2008
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Kernel stick-breaking processes
D. B. Dunson and J.-H. Park · 2008
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Bayesian nonparametric estimators derived from conditional Gibbs structures
A. Lijoi, I. Prünster, and S. G. Walker · 2008
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Retrospective Markov chain Monte Carlo methods for Dirichlet process hierarchical models
O. Papaspiliopoulos and G. O. Roberts · 2008
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Nonparametric Bayes conditional distribution modeling with variable selection
Y. Chung and D. B. Dunson · 2009
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Modal clustering in a class of product partition models
D. B. Dahl · 2009
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Modeling and visualizing uncertainty in gene expression clusters using Dirichlet process mixtures
C. E. Rasmussen, B. J. de la Cruz, Z. Ghahramani, and D. L. Wild · 2009
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A species sampling model with finitely many types
A. Gnedin · 2010
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Adaptive Bayesian density estimation with location-scale mixtures
W. Kruijer, J. Rousseau, and A. Van der Vaart · 2010
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Models beyond the Dirichlet process
A. Lijoi and I. Prünster · 2010
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Model-based clustering of microarray expression data via latent Gaussian mixture models
P. D. McNicholas and T. B. Murphy · 2010
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Random partition models with regression on covariates
P. Müller and F. Quintana · 2010
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A stick-breaking construction of the beta process
J. W. Paisley, A. K. Zaas, C. W. Woods, G. S. Ginsburg, and L. Carin · 2010
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Bayesian generalized product partition model
J.-H. Park and D. B. Dunson · 2010
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Conditional α \alpha -diversity for exchangeable Gibbs partitions driven by the stable subordinator
A. Cerquetti · 2011
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Slice sampling mixture models
M. Kalli, J. E. Griffin, and S. G. Walker · 2011
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A product partition model with regression on covariates
P. Müller, F. Quintana, and G. L. Rosner · 2011
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Nonparametric Bayesian models through probit stick-breaking processes
A. Rodriguez and D. B. Dunson · 2011
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Beta processes, stick-breaking and power laws
T. Broderick, M. I. Jordan, and J. Pitman · 2012
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On the stick-breaking representation of normalized inverse Gaussian priors
S. Favaro, A. Lijoi, and I. Pruenster · 2012
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Convergence of latent mixing measures in finite and infinite mixture models
X. L. Nguyen · 2013
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Nonparametric and Variable-Dimension Bayesian Mixture Models: Analysis, Comparison, and New Methods
J. W. Miller · 2014
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Inconsistency of Pitman–Yor process mixtures for the number of components
J. W. Miller and M. T. Harrison · 2014
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Univariate Bayesian nonparametric mixture modeling with unimodal kernels
C. E. Rodríguez and S. G. Walker · 2014
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