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Paper Abstract and Keywords
Presentation 2011-03-29 10:10
Tensor factorization using auxiliary information
Atsuhiro Narita (Univ. Tokyo), Kohei Hayashi (NAIST), Ryota Tomioka (Univ. Tokyo), Hisashi Kashima (Univ. of Tokyo/JST) IBISML2010-124
Abstract (in Japanese) (See Japanese page) 
(in English) Most of the existing completion methods of tensors (i.e. multi-way
arrays) only assume that tensors to be completed are low rank.
However, it is known that accuracy of completion tends to be worse when only limited entries are observed.
In this paper, we propose to use relationships among data as auxiliary
information in addition to the low-rank assumption to improve accuracy.
We introduce two regularization approaches using graph Laplacians
induced from the relationships, and design approximation algorithms for the optimization problems.
Numerical experiments using synthetic and real datasets show that use of
auxiliary information improves completion accuracy over the existing
methods based only on the low-rank assumption, especially when
observations are sparse.
Keyword (in Japanese) (See Japanese page) 
(in English) Multi-way arrays / Tensor decomposition / Tensor completion / Auxiliary information / Graph Laplacian / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 476, IBISML2010-124, pp. 139-146, March 2011.
Paper # IBISML2010-124 
Date of Issue 2011-03-21 (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 IBISML2010-124

Conference Information
Committee IBISML  
Conference Date 2011-03-28 - 2011-03-29 
Place (in Japanese) (See Japanese page) 
Place (in English) Nakanoshima Center, Osaka Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Text and Web mining, etc. 
Paper Information
Registration To IBISML 
Conference Code 2011-03-IBISML 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Tensor factorization using auxiliary information 
Sub Title (in English)  
Keyword(1) Multi-way arrays  
Keyword(2) Tensor decomposition  
Keyword(3) Tensor completion  
Keyword(4) Auxiliary information  
Keyword(5) Graph Laplacian  
Keyword(6)  
Keyword(7)  
Keyword(8)  
1st Author's Name Atsuhiro Narita  
1st Author's Affiliation The University of Tokyo (Univ. Tokyo)
2nd Author's Name Kohei Hayashi  
2nd Author's Affiliation Nara Institute of Science and Technology (NAIST)
3rd Author's Name Ryota Tomioka  
3rd Author's Affiliation The University of Tokyo (Univ. Tokyo)
4th Author's Name Hisashi Kashima  
4th Author's Affiliation The University of Tokyo/JST (Univ. of Tokyo/JST)
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Speaker Author-1 
Date Time 2011-03-29 10:10:00 
Presentation Time 20 minutes 
Registration for IBISML 
Paper # IBISML2010-124 
Volume (vol) vol.110 
Number (no) no.476 
Page pp.139-146 
#Pages
Date of Issue 2011-03-21 (IBISML) 


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