Detailed Derivations of Small-Variance Asymptotics for some Hierarchical Bayesian Nonparametric Models (1501.00052v1)

Published 31 Dec 2014 in stat.ML and cs.LG

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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