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Paper Abstract and Keywords
Presentation 2023-07-12 14:00
Study on the Effectiveness of Matrix Approximation without Rank Constraint
Eriko Segawa, Yusuke Sakumto (Kwansei Gakuin Univ.) CQ2023-10
Abstract (in Japanese) (See Japanese page) 
(in English) The proper selection of graph spectrum is crucial for constructing efficient graph algorithms. We have discussed a matrix approximation that relaxes the rank constraint of the low-rank approximation, and have proposed the method to select graph spectrum based on this matrix approximation. In this paper, we investigate the effectiveness of the matrix approximation with relaxed rank constraint by conducting a numerical example with the anomaly detection method for dynamic networks based on graph spectrum. Through the numerical example, we show that anomalies in temporal networks can be detected with higher accuracy when using the graph spectrum selected by our matrix approximation than when that by the low-rank approximation. Therefore, we confirm the effectiveness of the matrix approximation with relaxed rank constraint.
Keyword (in Japanese) (See Japanese page) 
(in English) Spectral Graph Theory / Low-Rank Approximation / Graph Spectrum / Laplacian Matrix / / / /  
Reference Info. IEICE Tech. Rep., vol. 123, no. 102, CQ2023-10, pp. 12-17, July 2023.
Paper # CQ2023-10 
Date of Issue 2023-07-05 (CQ) 
ISSN 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 CQ2023-10

Conference Information
Committee CQ  
Conference Date 2023-07-12 - 2023-07-13 
Place (in Japanese) (See Japanese page) 
Place (in English)  
Topics (in Japanese) (See Japanese page) 
Topics (in English) QoE and QoS Optimization/Control, Network Optimization/Control, etc. 
Paper Information
Registration To CQ 
Conference Code 2023-07-CQ 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Study on the Effectiveness of Matrix Approximation without Rank Constraint 
Sub Title (in English)  
Keyword(1) Spectral Graph Theory  
Keyword(2) Low-Rank Approximation  
Keyword(3) Graph Spectrum  
Keyword(4) Laplacian Matrix  
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1st Author's Name Eriko Segawa  
1st Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
2nd Author's Name Yusuke Sakumto  
2nd Author's Affiliation Kwansei Gakuin University (Kwansei Gakuin Univ.)
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Speaker Author-1 
Date Time 2023-07-12 14:00:00 
Presentation Time 25 minutes 
Registration for CQ 
Paper # CQ2023-10 
Volume (vol) vol.123 
Number (no) no.102 
Page pp.12-17 
#Pages 6 
Date of Issue 2023-07-05 (CQ) 

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