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Paper Abstract and Keywords
Presentation 2021-01-21 14:40
[Invited Talk] Message passing algorithms for nonconvex penalties
Ayaka Sakata (ISM) IT2020-79 SIP2020-57 RCS2020-170
Abstract (in Japanese) (See Japanese page) 
(in English) We consider compressed sensing formulated as a minimization problem of nonconvex sparse penalties, Smoothly Clipped Absolute Deviation (SCAD) and Minimax Concave Penalty (MCP). The forms of these penalties are controlled by nonconvexity parameters, and $¥ell_1$ penalty is contained as a limit with respect to these parameters. The analytically derived reconstruction limit overcomes that of $¥ell_1$ and the algorithmic limit in the Bayes-optimal setting, when the nonconvexity parameters have suitable values.
For the practical usage, we apply the approximate message passing (AMP) to these nonconvex penalties.
We show that the performance of AMP is considerably improved by controlling nonconvexity parameters.
Keyword (in Japanese) (See Japanese page) 
(in English) Approximate message passing / non convex penalty / compressed sensing / / / / /  
Reference Info. IEICE Tech. Rep., vol. 120, no. 320, IT2020-79, pp. 93-98, Jan. 2021.
Paper # IT2020-79 
Date of Issue 2021-01-14 (IT, SIP, RCS) 
ISSN Online edition: ISSN 2432-6380
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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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Conference Information
Committee SIP IT RCS  
Conference Date 2021-01-21 - 2021-01-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2021-01-SIP-IT-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Message passing algorithms for nonconvex penalties 
Sub Title (in English)  
Keyword(1) Approximate message passing  
Keyword(2) non convex penalty  
Keyword(3) compressed sensing  
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1st Author's Name Ayaka Sakata  
1st Author's Affiliation Institute of Statistical Mathematics (ISM)
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Speaker Author-1 
Date Time 2021-01-21 14:40:00 
Presentation Time 50 minutes 
Registration for IT 
Paper # IT2020-79, SIP2020-57, RCS2020-170 
Volume (vol) vol.120 
Number (no) no.320(IT), no.321(SIP), no.322(RCS) 
Page pp.93-98 
#Pages
Date of Issue 2021-01-14 (IT, SIP, RCS) 


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