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arXiv · 1501.00052

Detailed Derivations of Small-Variance Asymptotics for some Hierarchical Bayesian Nonparametric Models

Jonathan H. Huggins·Ardavan Saeedi·Matthew J. Johnson
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Abstract

In this note we provide detailed derivations of two versions of small-variance asymptotics for hierarchical Dirichlet process (HDP) mixture models and the HDP hidden Markov model (HDP-HMM, a.k.a. the infinite HMM). We include derivations for the probabilities of certain CRP and CRF partitions, which are of more general interest.

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Jonathan H. Huggins, Ardavan Saeedi, Matthew J. Johnson. 2014-12-31. Detailed Derivations of Small-Variance Asymptotics for some Hierarchical Bayesian Nonparametric Models. https://arxiv.org/abs/1501.00052

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