Presentation 2008-03-12
Experimental Analysis for Equations of States in Singular Statistical Estimation
Sumio WATANABE, Kenji NAGATA,
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Abstract(in English) In the previous paper, we proved the equations of states in singular statistial estimation, by which we can predict the Bayes and Gibbs generalization errors from Bayes and Gibbs training errors without any knowledge of the true distribution. In this paper, we experimentally show the effectiveness of the formula in a reduced rank regression and a normal mixture.
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Keyword(in English) Singular learning machines / Bayes generalization error / Bayes training error / Gibbs generalization error / Gibbs training error
Paper # NC2007-129
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Committee NC
Conference Date 2008/3/5(1days)
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Registration To Neurocomputing (NC)
Language ENG
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Experimental Analysis for Equations of States in Singular Statistical Estimation
Sub Title (in English)
Keyword(1) Singular learning machines
Keyword(2) Bayes generalization error
Keyword(3) Bayes training error
Keyword(4) Gibbs generalization error
Keyword(5) Gibbs training error
1st Author's Name Sumio WATANABE
1st Author's Affiliation Tokyo Institute of Technology()
2nd Author's Name Kenji NAGATA
2nd Author's Affiliation Tokyo Institute of Technology
Date 2008-03-12
Paper # NC2007-129
Volume (vol) vol.107
Number (no) 542
Page pp.pp.-
#Pages 6
Date of Issue