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Presentation 2022-04-22 11:20
A Study on Parametric Bilinear Inference via Gaussian Belief Propagation
Kenta Ito, Takumi Takahashi, Koji Igarashi (Osaka Univ.), Shinsuke Ibi (Doshisha Univ.), Seiichi Sampei (Osaka Univ.) RCS2022-8
Abstract (in Japanese) (See Japanese page) 
(in English) Parametric bilinear inference estimates two unknown varables (i.e., parameters) with a symmetric linear regression structure from a multi-dimensional observation, and is expected to be applied to a wide range of fields of engineering, science, and finance. To solve this inference problem with low computational cost, parametric bilinear generalized approximate message passing (PBiGAMP), which is derived from sum-product algorithm (SPA) using the GAMP framework, has been proposed. However, the derivation relies heavily on the large-system limit assumption and the message update rule that forcibly extend the GAMP approach is not mathematically consistent, making it difficult to estimate with high accuracy even for sufficiently large systems. To circumvent this issue, we propose a novel parametric bilinear inference algorithm via Gaussian belief propagation (GaBP), which can be derived from SPA with fewer approximations while maintaining the consistency of the Bayesian update rule. The efficacy of the proposed method over the PBiGAMP is confirmed via computer simulations in terms of the normalized mean square error (NSE) performance and the symbol error rate (SER) performance.
Keyword (in Japanese) (See Japanese page) 
(in English) Parametric bilinear inference / Gaussian belief propagation / generalized approximate message passing / / / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 6, RCS2022-8, pp. 35-40, April 2022.
Paper # RCS2022-8 
Date of Issue 2022-04-14 (RCS) 
ISSN 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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF RCS2022-8

Conference Information
Committee RCS  
Conference Date 2022-04-21 - 2022-04-22 
Place (in Japanese) (See Japanese page) 
Place (in English) Osaka University, and online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Railroad Communications, Inter-Vehicle Communications, Road to Vehicle Communications, Radio Access Technologies, Wireless Communications, etc. 
Paper Information
Registration To RCS 
Conference Code 2022-04-RCS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Study on Parametric Bilinear Inference via Gaussian Belief Propagation 
Sub Title (in English)  
Keyword(1) Parametric bilinear inference  
Keyword(2) Gaussian belief propagation  
Keyword(3) generalized approximate message passing  
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1st Author's Name Kenta Ito  
1st Author's Affiliation Osaka University (Osaka Univ.)
2nd Author's Name Takumi Takahashi  
2nd Author's Affiliation Osaka University (Osaka Univ.)
3rd Author's Name Koji Igarashi  
3rd Author's Affiliation Osaka University (Osaka Univ.)
4th Author's Name Shinsuke Ibi  
4th Author's Affiliation Doshisha University (Doshisha Univ.)
5th Author's Name Seiichi Sampei  
5th Author's Affiliation Osaka University (Osaka Univ.)
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Speaker Author-1 
Date Time 2022-04-22 11:20:00 
Presentation Time 25 minutes 
Registration for RCS 
Paper # RCS2022-8 
Volume (vol) vol.122 
Number (no) no.6 
Page pp.35-40 
#Pages
Date of Issue 2022-04-14 (RCS) 


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