Presentation 2009-12-18
Estimation problem in Kernel regression analysis
Hideyuki IMAI, Akira TANAKA, Sei-ichi IKEDA,
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Abstract(in English) A lot of approaches have been proposed for analyzing data with complex structure. Kernel regression analysis is one of them. We formulate kernel regression analysis as a function estimation problem, and sampling process as a linear operator defined on a Hilbert space. We show a condition that unknown function is represented by some basis functions and coefficients obtaind by sampling points. Moreover, when additive noise occurs in the sampling process, estimation does not always works well even if the condition is satisfied. We proposed a method based on information criterion to select some suitable data points to improve estimation and prediction.
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Keyword(in English) pU^AT_FX2_ε class file / typesetting
Paper # PRMU2009-149
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Conference Information
Committee PRMU
Conference Date 2009/12/10(1days)
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Registration To Pattern Recognition and Media Understanding (PRMU)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Estimation problem in Kernel regression analysis
Sub Title (in English)
Keyword(1) pU^AT_FX2_ε class file
Keyword(2) typesetting
1st Author's Name Hideyuki IMAI
1st Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University()
2nd Author's Name Akira TANAKA
2nd Author's Affiliation Graduate School of Information Science and Technology, Hokkaido University
3rd Author's Name Sei-ichi IKEDA
3rd Author's Affiliation R&D Kushiro National College of Technology
Date 2009-12-18
Paper # PRMU2009-149
Volume (vol) vol.109
Number (no) 344
Page pp.pp.-
#Pages 4
Date of Issue