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Markov Chain Sampling Methods for Dirichlet Process Mixture Models Export

Journal of Computational and Graphical Statistics, Vol. 9, No. 2. (2000), pp. 249-265.

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dirichlet-process dirichlet-process-mixture mcmc

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This article reviews Markov chain methods for sampling from the posterior distribution of a Dirichlet process mixture model and presents two new classes of methods. One new approach is to make Metropolis-Hastings updates of the indicators specifying which mixture component is associated with each observation, perhaps supplemented with a partial form of Gibbs sampling. The other new approach extends Gibbs sampling for these indicators by using a set of auxiliary parameters. These methods are simple to implement and are more efficient than previous ways of handling general Dirichlet process mixture models with non-conjugate priors.


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