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Paper Abstract and Keywords
Presentation 2010-06-14 16:00
Orthogonalization and thresholding method for a nonparametric regression problem
Katsuyuki Hagiwara (Mie Univ.) IBISML2010-8
Abstract (in Japanese) (See Japanese page) 
(in English) For a nonparametric regression problem, we proposed a training scheme based on orthogonalization and
thresholding, in which a machine is assumed to be a weighted sum of many fixed basis functions. In the basis of
the scheme, vectors of basis function outputs are orthogonalized and coefficients of the orthogonalized vectors are estimated instead of weights. The coefficients are set to zero if those are less than predetermined threshold levels which are assigned componentwisely to each coefficient. We then obtain a resulting weight vector by transforming the thresholded coefficients. In this article, we presented theoretically reasonable threshold levels under an assumption
of Gaussian additive noise. For a simple situation, we also gave an upper bound of a generalization error of the training scheme. Further, we gave implementations of the training scheme and showed that performances of the proposed training methods on some datasets are comparable to those of alternative methods.
Keyword (in Japanese) (See Japanese page) 
(in English) orthogonalization / thresholding / nonparametric regression / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 76, IBISML2010-8, pp. 41-48, June 2010.
Paper # IBISML2010-8 
Date of Issue 2010-06-07 (IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IBISML2010-8

Conference Information
Committee IBISML  
Conference Date 2010-06-14 - 2010-06-15 
Place (in Japanese) (See Japanese page) 
Place (in English) Takeda Hall, Univ. Tokyo 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Machine learning, etc. 
Paper Information
Registration To IBISML 
Conference Code 2010-06-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Orthogonalization and thresholding method for a nonparametric regression problem 
Sub Title (in English)  
Keyword(1) orthogonalization  
Keyword(2) thresholding  
Keyword(3) nonparametric regression  
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1st Author's Name Katsuyuki Hagiwara  
1st Author's Affiliation Mie University (Mie Univ.)
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Speaker Author-1 
Date Time 2010-06-14 16:00:00 
Presentation Time 15 minutes 
Registration for IBISML 
Paper # IBISML2010-8 
Volume (vol) vol.110 
Number (no) no.76 
Page pp.41-48 
#Pages 8 
Date of Issue 2010-06-07 (IBISML) 

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