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Rates of convergence for Markov chains associated with Dirichlet processes.

Gareth O. Roberts,Sonia Petrone,Jeffrey S. Rosenthal-2000-12-01-Lancaster EPrints (Lancaster University)
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TL;DRAbstract

We argue that Monte Carlo algorithms are ideally suited to parallel computing, and that “parallel Monte Carlo” should be more widely used. We consider a number of issues that arise, including dealing with slow or unreliable computers. We also discuss the possibilities of parallel Markov chain Monte Carlo. We illustrate our results with actual computer experiments.

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We argue that Monte Carlo algorithms are ideally suited to parallel computing, and that “parallel Monte Carlo” should be more widely used. We consider a number of issues that arise, including dealing with slow or unreliable computers. We also discuss the possibilities of parallel Markov chain Monte Carlo. We illustrate our results with actual computer experiments.

Keywords

Markov chain Monte CarloComputer scienceMonte Carlo methodParallel temperingMarkov chainHybrid Monte CarloConvergence (economics)Statistical physics

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