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Paper Abstract and Keywords
Presentation 2010-06-14 15:30
A Study on the Exact Nonlinear Regularization Path for L2 Loss Support Vector Machines
Masayuki Karasuyama, Ichiro Takeuchi (Nagoya Inst. of Tech.) IBISML2010-6
Abstract (in Japanese) (See Japanese page) 
(in English) Regularization path algorithm has been proposed for model selection
problem of Support Vector Machine (SVM).
The algorithm explores the entire path of solutions w.r.t. the
regularization parameter by exploiting piecewise linearity of the
solutions.
However, if we use a quadratic loss function in the SVM,
the solutions are no longer piecewise linear w.r.t. the regularization
parameter.
In this paper, we propose nonlinear regularization path for the SVM
with the quadratic loss functions.
We use a rational approximation approach to find an event point
which is the change point of the solution path.
We demonstrate this approach has some advantages in terms of the efficiency and the accuracy of the path following algorithm.
Experimental results show that our algorithm traces the regularization
path faster than the naive grid search approach using
state-of-the-art SVM solver.
Keyword (in Japanese) (See Japanese page) 
(in English) Support Vector Machines / Regularization path / Rational approximation / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 76, IBISML2010-6, pp. 23-31, June 2010.
Paper # IBISML2010-6 
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 IBISML2010-6

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) A Study on the Exact Nonlinear Regularization Path for L2 Loss Support Vector Machines 
Sub Title (in English)  
Keyword(1) Support Vector Machines  
Keyword(2) Regularization path  
Keyword(3) Rational approximation  
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Keyword(5)  
Keyword(6)  
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Keyword(8)  
1st Author's Name Masayuki Karasuyama  
1st Author's Affiliation Nagoya Institute of Technology (Nagoya Inst. of Tech.)
2nd Author's Name Ichiro Takeuchi  
2nd Author's Affiliation Nagoya Institute of Technology (Nagoya Inst. of Tech.)
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Speaker Author-1 
Date Time 2010-06-14 15:30:00 
Presentation Time 15 minutes 
Registration for IBISML 
Paper # IBISML2010-6 
Volume (vol) vol.110 
Number (no) no.76 
Page pp.23-31 
#Pages 9 
Date of Issue 2010-06-07 (IBISML) 

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