Memorized Variational Continual Learning for Dirichlet Process Mixtures

Bayesian nonparametric models are theoretically suitable for streaming data due to their ability to adapt model complexity with the observed data. However, very limited work has addressed posterior inference in a streaming fashion, and most of the existing variational inference algorithms require tr...

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Main Authors: Yang Yang, Bo Chen, Hongwei Liu
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8871157/
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author Yang Yang
Bo Chen
Hongwei Liu
author_facet Yang Yang
Bo Chen
Hongwei Liu
author_sort Yang Yang
collection DOAJ
description Bayesian nonparametric models are theoretically suitable for streaming data due to their ability to adapt model complexity with the observed data. However, very limited work has addressed posterior inference in a streaming fashion, and most of the existing variational inference algorithms require truncation on variational distributions which cannot vary with the data. In this paper, we focus Dirichlet process mixture models and develop the corresponding variational continual learning approach by maintaining memorized sufficient statistics for previous tasks, called memorized variational continual learning (MVCL), which is able to handle both the posterior update and data in a continual learning setting. Furthermore, we extend MVCL for two cases of mixture models which can handle different data types. The experiments demonstrate the comparable inference capability of our MVCL for both discrete and real-valued datasets with automatically inferring the number of mixture components.
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spelling doaj.art-2044faff9baf4dc4a306559189d139c42022-12-21T18:13:18ZengIEEEIEEE Access2169-35362019-01-01715085115086210.1109/ACCESS.2019.29477228871157Memorized Variational Continual Learning for Dirichlet Process MixturesYang Yang0https://orcid.org/0000-0002-8851-1790Bo Chen1Hongwei Liu2National Laboratory of Radar Signal Processing, Xidian University, Xi’an, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an, ChinaNational Laboratory of Radar Signal Processing, Xidian University, Xi’an, ChinaBayesian nonparametric models are theoretically suitable for streaming data due to their ability to adapt model complexity with the observed data. However, very limited work has addressed posterior inference in a streaming fashion, and most of the existing variational inference algorithms require truncation on variational distributions which cannot vary with the data. In this paper, we focus Dirichlet process mixture models and develop the corresponding variational continual learning approach by maintaining memorized sufficient statistics for previous tasks, called memorized variational continual learning (MVCL), which is able to handle both the posterior update and data in a continual learning setting. Furthermore, we extend MVCL for two cases of mixture models which can handle different data types. The experiments demonstrate the comparable inference capability of our MVCL for both discrete and real-valued datasets with automatically inferring the number of mixture components.https://ieeexplore.ieee.org/document/8871157/Bayesian nonparametricstreaming datavariational continual learningDirichlet process mixturememorized sufficient statisticsdiscrete and real-valued datasets
spellingShingle Yang Yang
Bo Chen
Hongwei Liu
Memorized Variational Continual Learning for Dirichlet Process Mixtures
IEEE Access
Bayesian nonparametric
streaming data
variational continual learning
Dirichlet process mixture
memorized sufficient statistics
discrete and real-valued datasets
title Memorized Variational Continual Learning for Dirichlet Process Mixtures
title_full Memorized Variational Continual Learning for Dirichlet Process Mixtures
title_fullStr Memorized Variational Continual Learning for Dirichlet Process Mixtures
title_full_unstemmed Memorized Variational Continual Learning for Dirichlet Process Mixtures
title_short Memorized Variational Continual Learning for Dirichlet Process Mixtures
title_sort memorized variational continual learning for dirichlet process mixtures
topic Bayesian nonparametric
streaming data
variational continual learning
Dirichlet process mixture
memorized sufficient statistics
discrete and real-valued datasets
url https://ieeexplore.ieee.org/document/8871157/
work_keys_str_mv AT yangyang memorizedvariationalcontinuallearningfordirichletprocessmixtures
AT bochen memorizedvariationalcontinuallearningfordirichletprocessmixtures
AT hongweiliu memorizedvariationalcontinuallearningfordirichletprocessmixtures