On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation
The EM algorithm is one of the most popular statistical learning algorithms. Unfortunately, it is a batch learning method. For large data sets and real-time systems, we need to develop on-line methods. In this thesis, we present a comprehensive study of on-line EM algorithms. We use Bayesian theory...
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ndltd-LACETR-oai-collectionscanada.gc.ca-BVAU.2429-145692014-03-14T15:47:38Z On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation Bao, Kejie The EM algorithm is one of the most popular statistical learning algorithms. Unfortunately, it is a batch learning method. For large data sets and real-time systems, we need to develop on-line methods. In this thesis, we present a comprehensive study of on-line EM algorithms. We use Bayesian theory to propose a new on-line EM algorithm for multinomial mixtures. Based on this theory, we show that there is a direct connection between the setting of Bayes priors and the so-called learning rates of stochastic approximation algorithms, such as on-line EM and quasi-Bayes . Finally, we present extensive simulations, comparisons and parameter sensitivity studies on both synthetic data and documents with text, images and music. 2009-11-02T20:46:12Z 2009-11-02T20:46:12Z 2003 2009-11-02T20:46:12Z 2003-11 Electronic Thesis or Dissertation http://hdl.handle.net/2429/14569 eng UBC Retrospective Theses Digitization Project [http://www.library.ubc.ca/archives/retro_theses/] |
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English |
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description |
The EM algorithm is one of the most popular statistical learning algorithms. Unfortunately, it is a batch learning method. For large data sets and real-time systems, we need to develop on-line methods. In this thesis, we present a comprehensive study of on-line EM algorithms. We use Bayesian theory to propose a new on-line EM algorithm for multinomial mixtures. Based on this theory, we show that there is a direct connection between the setting of Bayes priors and the so-called learning rates of stochastic approximation algorithms, such as on-line EM and quasi-Bayes . Finally, we present extensive simulations, comparisons and parameter sensitivity studies on both synthetic data and documents with text, images and music. |
author |
Bao, Kejie |
spellingShingle |
Bao, Kejie On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
author_facet |
Bao, Kejie |
author_sort |
Bao, Kejie |
title |
On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
title_short |
On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
title_full |
On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
title_fullStr |
On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
title_full_unstemmed |
On-line EM and quasi-Baye or : how I learned to stop worrying and love stochastic approximation |
title_sort |
on-line em and quasi-baye or : how i learned to stop worrying and love stochastic approximation |
publishDate |
2009 |
url |
http://hdl.handle.net/2429/14569 |
work_keys_str_mv |
AT baokejie onlineemandquasibayeorhowilearnedtostopworryingandlovestochasticapproximation |
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1716653053820534784 |