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Combined Belief Propagation-Mean Field Message Passing Algorithm for Dirichlet Process Mixtures | IEEE Journals & Magazine | IEEE Xplore

Combined Belief Propagation-Mean Field Message Passing Algorithm for Dirichlet Process Mixtures


Abstract:

This letter deals with variational inference for Dirichlet process mixtures (DPM) models. We propose a combined message-passing algorithm introducing belief propagation (...Show More

Abstract:

This letter deals with variational inference for Dirichlet process mixtures (DPM) models. We propose a combined message-passing algorithm introducing belief propagation (BP) into the original mean field (MF) rules, which leads to a more precise approximate posterior in DPM. To compute the BP message, we change an exponential distribution to a non-exponential utilizing a flexible expression of Dirac delta function. Therefore, BP rules can be used to handle such functions, resulting to a local exact expectation instead of approximate expectation from the original MF method. Simulation results show that the proposed combined BP-MF algorithm results in a significant performance improvement compared to the state-of-the-art inference methods.
Published in: IEEE Signal Processing Letters ( Volume: 26, Issue: 7, July 2019)
Page(s): 1041 - 1045
Date of Publication: 24 May 2019

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