Presentation 2012-11-08
Considering the multiplicity in mixture model brings better results
Tetsuo FURUKAWA,
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Abstract(in English) The purpose of this work is to re-examine the probabilistic model of the mixture model, and to derive the algorithm by the variational Bayesian method. In the mixture model with K components, there exist K! equivalent solutions with respect to the permutation of the components. Usually we only need to obtain one of those solutions, and the others can be ignored. However, those equivalent solutions occasionally interfere each other when we apply the variational Bayesian (VB), and it causes the local miminum problem. In this work, we derived the probabilistic model which considers the equivalent solutions. The obtained algorithm is more robust to the local optimum, while the calculation cost is as low as the conventional one.
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Keyword(in English) Mixture Model / EM algorithm / variational Bayesian / local optimum solution / nonidentifiability problem / label identifiability
Paper # IBISML2012-89
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Committee IBISML
Conference Date 2012/10/31(1days)
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Registration To Information-Based Induction Sciences and Machine Learning (IBISML)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Considering the multiplicity in mixture model brings better results
Sub Title (in English)
Keyword(1) Mixture Model
Keyword(2) EM algorithm
Keyword(3) variational Bayesian
Keyword(4) local optimum solution
Keyword(5) nonidentifiability problem
Keyword(6) label identifiability
1st Author's Name Tetsuo FURUKAWA
1st Author's Affiliation Department of Brain Science and Engineering Kyushu Institute of Technology()
Date 2012-11-08
Paper # IBISML2012-89
Volume (vol) vol.112
Number (no) 279
Page pp.pp.-
#Pages 8
Date of Issue