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Particle Gibbs for Infinite Hidden Markov Models


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Authors

Tripuranen, Nilesh 
Gu, Shixiang 
Ge, Hong 
Ghahramani, Zoubin 

Abstract

Infinite Hidden Markov Models (iHMM’s) are an attractive, nonparametric generalization of the classical Hidden Markov Model which can automatically infer the number of hidden states in the system. However, due to the infinite-dimensional nature of the transition dynamics, performing inference in the iHMM is difficult. In this paper, we present an infinite-state Particle Gibbs (PG) algorithm to resample state trajectories for the iHMM. The proposed algorithm uses an efficient proposal optimized for iHMMs and leverages ancestor sampling to improve the mixing of the standard PG algorithm. Our algorithm demonstrates significant convergence improvements on synthetic and real world data sets.

Description

This is the final version of the article. It first appeared from Curran Associates via http://papers.nips.cc/paper/5968-particle-gibbs-for-infinite-hidden-markov-models

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Journal Title

Advances in Neural Information Processing Systems 28

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Publisher

Curran Associates

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