Presentation 2012-11-17
Composite likelihood estimation for bipartite Boltzmann machines
Takashi ASARI, Muneki YASUDA, Yuji WAIZUMI, Kazuyuki TANAKA,
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Abstract(in English) The recent development of information technology has enabled us to obtain and to storage huge information data. Because of this, effective usages of the information data have been one of the central points of information sciences. A Boltzmann machine is a model of the machine learning theory and can be a powerful tool for the aim. In this paper, we focus on a bipartite Boltzmann machine (BBM) consisted of two different layers: one layer is the input layer and the other is the output layer. In this model, once the input layer is clamped by given data, inference of the output layer is quite easy because of the property of conditional independence. Therefore, this model is expected to be applied to expert systems such as medical test system. However, the learning of BBM using the maximum likelihood estimation is still intractable, Because the computational complexity of learning exponentially grows with the increase in the size of system, In this paper, we propose a new learning algorithm for BBM by using the composite likelihood estimation (CLE) which is a statistical mathematical technique to approximate the MLE.
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Keyword(in English) probabilistic information processing / statistical machine learning theory / Boltzmann machine / maximum likelihood estimation / composite likelihood estimation
Paper # NC2012-68
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Committee NC
Conference Date 2012/11/9(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Composite likelihood estimation for bipartite Boltzmann machines
Sub Title (in English)
Keyword(1) probabilistic information processing
Keyword(2) statistical machine learning theory
Keyword(3) Boltzmann machine
Keyword(4) maximum likelihood estimation
Keyword(5) composite likelihood estimation
1st Author's Name Takashi ASARI
1st Author's Affiliation Graduate School of Information Sciences, Tohoku University()
2nd Author's Name Muneki YASUDA
2nd Author's Affiliation Graduate School of Information Sciences, Tohoku University
3rd Author's Name Yuji WAIZUMI
3rd Author's Affiliation Graduate School of Information Sciences, Tohoku University
4th Author's Name Kazuyuki TANAKA
4th Author's Affiliation Graduate School of Information Sciences, Tohoku University
Date 2012-11-17
Paper # NC2012-68
Volume (vol) vol.112
Number (no) 298
Page pp.pp.-
#Pages 6
Date of Issue