Presentation 2010-01-18
On Generalization Error of Self-organizing Map
Fumiaki SAITOH, Sumio WATANABE,
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Abstract(in English) Self-organizing map is usually used for estimation of a low dimensional manifold in a high dimensional space. The main purpose of applying it is to extract the hidden structure from samples, hence it has not been clarified how accurate the estimation of the low dimensional manifold is. In this paper, in order to study the accuracy of the statistial estimation using the self-organizing map, we define the generalization error, and show its behavior experimentally. Based on experiments, it is shown that the learning curve of the self-organizing map is determined by the order of the dimension of the parameter.
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Keyword(in English) Self-organizing Map / Generalization Error / information extraction / Statistical Learning
Paper # NC2009-78
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Committee NC
Conference Date 2010/1/11(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) On Generalization Error of Self-organizing Map
Sub Title (in English)
Keyword(1) Self-organizing Map
Keyword(2) Generalization Error
Keyword(3) information extraction
Keyword(4) Statistical Learning
1st Author's Name Fumiaki SAITOH
1st Author's Affiliation Tokyo Institute of Technology Precision and Intellignce Laboratory()
2nd Author's Name Sumio WATANABE
2nd Author's Affiliation Tokyo Institute of Technology Precision and Intellignce Laboratory
Date 2010-01-18
Paper # NC2009-78
Volume (vol) vol.109
Number (no) 363
Page pp.pp.-
#Pages 6
Date of Issue