Presentation 2013-12-21
Difference of Enough Numbers for General and Regular Asymptotic Theories in Statistical Learning
Sumio WATANABE,
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Abstract(in English) There are two asymptotic theories in statistical learning. One is the regular theory which assumes that the likelihood function can be approximated by a normal distribution, the other is the general theory which does not need such assumption. Prom the mathematical point of view, both theories need the limit condition that the number of traning samples goes to infinity. However, it strongly depends on the situation whether we can apply the theories to a practical problem or not. In this paper, we study the problem of discovery, and experimentally show that the regular theory can not be applied for observation of discovery of structure, whereas the general theory can be applicable.
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Keyword(in English) General asymptotic theory / Regular asymptotic theory / WAIC / Sample Number
Paper # NC2013-61
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Committee NC
Conference Date 2013/12/14(1days)
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Registration To Neurocomputing (NC)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Difference of Enough Numbers for General and Regular Asymptotic Theories in Statistical Learning
Sub Title (in English)
Keyword(1) General asymptotic theory
Keyword(2) Regular asymptotic theory
Keyword(3) WAIC
Keyword(4) Sample Number
1st Author's Name Sumio WATANABE
1st Author's Affiliation Tokyo Institute of Technology()
Date 2013-12-21
Paper # NC2013-61
Volume (vol) vol.113
Number (no) 374
Page pp.pp.-
#Pages 6
Date of Issue