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Paper Abstract and Keywords
Presentation 2016-09-06 10:45
A proposal on quick sensitivity analysis of empirical risk minimization problems
Hiroyuki Hanada, Atsushi Shibagaki (NITech), Jun Sakuma (Univ. of Tsukuba), Ichiro Takeuchi (NITech) PRMU2016-80 IBISML2016-35
Abstract (in Japanese) (See Japanese page) 
(in English) For a training data set consisting of $n$ vectors of $d$ dimensions, we consider obtaining a training result from it by a regularized empirical risk minimization. In such a situation, if we need a new training result when a part of the training data, we need $O(nd)$ time in general even if we know the training result before the change of the data. A solution for the problem is the quick sensitivity analysis, which computes the upper and the lower bounds of the training result rather than the exact one with much smaller computational cost.
There has been a quick sensitivity analysis method for instance-wise change, which enables us to compute the upper and the lower bounds of the training result in $O(d|{cal M}_I|)$ time for the number of changed instances $|{cal M}_I|$ ($leq n$). On the other hand, we propose a fast method for more generalized data changes: it enables us to compute the upper and the lower bounds of the training result in $O(d|{cal M}|)$ time for the number of changed values $|{cal M}|$ ($leq nd$).
Keyword (in Japanese) (See Japanese page) 
(in English) Empirical risk minimization / Quick sensitivity analysis / Strong convexity / Duality gap / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 209, IBISML2016-35, pp. 203-210, Sept. 2016.
Paper # IBISML2016-35 
Date of Issue 2016-08-29 (PRMU, IBISML) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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)
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Conference Information
Conference Date 2016-09-05 - 2016-09-06 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To IBISML 
Conference Code 2016-09-PRMU-CVIM-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A proposal on quick sensitivity analysis of empirical risk minimization problems 
Sub Title (in English)  
Keyword(1) Empirical risk minimization  
Keyword(2) Quick sensitivity analysis  
Keyword(3) Strong convexity  
Keyword(4) Duality gap  
1st Author's Name Hiroyuki Hanada  
1st Author's Affiliation Nagoya Institute of Technology (NITech)
2nd Author's Name Atsushi Shibagaki  
2nd Author's Affiliation Nagoya Institute of Technology (NITech)
3rd Author's Name Jun Sakuma  
3rd Author's Affiliation University of Tsukuba (Univ. of Tsukuba)
4th Author's Name Ichiro Takeuchi  
4th Author's Affiliation Nagoya Institute of Technology (NITech)
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Speaker Author-1 
Date Time 2016-09-06 10:45:00 
Presentation Time 30 minutes 
Registration for IBISML 
Paper # PRMU2016-80, IBISML2016-35 
Volume (vol) vol.116 
Number (no) no.208(PRMU), no.209(IBISML) 
Page pp.203-210 
Date of Issue 2016-08-29 (PRMU, IBISML) 

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