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Paper Abstract and Keywords
Presentation 2017-06-20 11:40
Matrix Completion Algorithm based on Locally Linear Embedding and its Application to Signal Restoration of Nonlinear Systems
Ryohei Sasaki (TUS), Katsumi Konishi (Kogakuin Univ.), Tomohiro Takahashi, Toshihiro Furukawa (TUS) CAS2017-18 VLD2017-21 SIP2017-42 MSS2017-18
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we deal with matrix completion problem of non-low rank matrix. In the problem of recovering the output signals from linear systems, it is known that the signal can be repaired with high accuracy by minimizing the rank of the Hankel matrix of input and output signals. However, we cannot generally assume that the matrix from nonlinear systems is a low rank matrix. Therefore, we propose a method combining local linear embedding which is a manifold learning method and matrix rank minimization for this problem. Numerical experiments show the effectiveness of the proposed method.
Keyword (in Japanese) (See Japanese page) 
(in English) matrix completion / locally linear embedding / matrix rank minimization / nonlinear systems / / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 98, SIP2017-42, pp. 93-97, June 2017.
Paper # SIP2017-42 
Date of Issue 2017-06-12 (CAS, VLD, SIP, MSS) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
Copyright
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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. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF CAS2017-18 VLD2017-21 SIP2017-42 MSS2017-18

Conference Information
Committee SIP CAS MSS VLD  
Conference Date 2017-06-19 - 2017-06-20 
Place (in Japanese) (See Japanese page) 
Place (in English) Niigata University, Ikarashi Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2017-06-SIP-CAS-MSS-VLD 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Matrix Completion Algorithm based on Locally Linear Embedding and its Application to Signal Restoration of Nonlinear Systems 
Sub Title (in English)  
Keyword(1) matrix completion  
Keyword(2) locally linear embedding  
Keyword(3) matrix rank minimization  
Keyword(4) nonlinear systems  
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1st Author's Name Ryohei Sasaki  
1st Author's Affiliation Tokyo University of Science (TUS)
2nd Author's Name Katsumi Konishi  
2nd Author's Affiliation Kogakuin University (Kogakuin Univ.)
3rd Author's Name Tomohiro Takahashi  
3rd Author's Affiliation Tokyo University of Science (TUS)
4th Author's Name Toshihiro Furukawa  
4th Author's Affiliation Tokyo University of Science (TUS)
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Speaker
Date Time 2017-06-20 11:40:00 
Presentation Time 20 
Registration for SIP 
Paper # IEICE-CAS2017-18,IEICE-VLD2017-21,IEICE-SIP2017-42,IEICE-MSS2017-18 
Volume (vol) IEICE-117 
Number (no) no.96(CAS), no.97(VLD), no.98(SIP), no.99(MSS) 
Page pp.93-97 
#Pages IEICE-5 
Date of Issue IEICE-CAS-2017-06-12,IEICE-VLD-2017-06-12,IEICE-SIP-2017-06-12,IEICE-MSS-2017-06-12 


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