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Paper Abstract and Keywords
Presentation 2021-06-04 11:45
Frequency-domain Robust Principal Component Analysis
Manabu Sueyasu, Seisuke Kyochi (The Univ. of Kitakyushu), Shunsuke Ono (Tokyo Tech) SIP2021-10 BioX2021-10 IE2021-10
Abstract (in Japanese) (See Japanese page) 
(in English) Low-rank modeling is one of the most effective approaches that can analyze and extract isomorphic components from an observation matrix. Robust PCA (RPCA) can extract isomorphic components lying a low-dimensional subspace from an observed matrix in the presence of outliers by using regularization functions of nuclear/l1 norms. One of the drawback of RPCA is the sensitivity against the shift or the misalignment of target components. When target components are not aligned exactly due the shift, they are not lying low-dimensional subspace any more. Consequently, RPCA cannot extract the isomorphic components precisely. To resolve this drawback, we propose a novel regularizer called “amplitude spectrum nuclear norm” (ASNN). Thanks to the fundamental signal processing theory, the amplitude spectra of an original and its (circularly) shifted signals are the same. Thus, we can extract misaligned isomorphic components by minimizing nuclear norm of the amplitude spectra.
Keyword (in Japanese) (See Japanese page) 
(in English) amplitude spectrogram / epigraph constraint / low rank / nuclear norm / / / /  
Reference Info. IEICE Tech. Rep., vol. 121, no. 54, SIP2021-10, pp. 46-50, June 2021.
Paper # SIP2021-10 
Date of Issue 2021-05-27 (SIP, BioX, IE) 
ISSN 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)
Download PDF SIP2021-10 BioX2021-10 IE2021-10

Conference Information
Committee IE SIP BioX ITE-IST ITE-ME  
Conference Date 2021-06-03 - 2021-06-04 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To SIP 
Conference Code 2021-06-IE-SIP-BioX-IST-ME 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Frequency-domain Robust Principal Component Analysis 
Sub Title (in English)  
Keyword(1) amplitude spectrogram  
Keyword(2) epigraph constraint  
Keyword(3) low rank  
Keyword(4) nuclear norm  
1st Author's Name Manabu Sueyasu  
1st Author's Affiliation The University of Kitakyushu (The Univ. of Kitakyushu)
2nd Author's Name Seisuke Kyochi  
2nd Author's Affiliation The University of Kitakyushu (The Univ. of Kitakyushu)
3rd Author's Name Shunsuke Ono  
3rd Author's Affiliation Tokyo Institute of Technology (Tokyo Tech)
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Speaker Author-1 
Date Time 2021-06-04 11:45:00 
Presentation Time 30 minutes 
Registration for SIP 
Paper # SIP2021-10, BioX2021-10, IE2021-10 
Volume (vol) vol.121 
Number (no) no.54(SIP), no.55(BioX), no.56(IE) 
Page pp.46-50 
Date of Issue 2021-05-27 (SIP, BioX, IE) 

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