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) |
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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) |
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Keyword(1) |
Multi-way arrays |
Keyword(2) |
Tensor decomposition |
Keyword(3) |
Tensor completion |
Keyword(4) |
Auxiliary information |
Keyword(5) |
Graph Laplacian |
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Keyword(7) |
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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 |
8 |
Date of Issue |
2011-03-21 (IBISML) |
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