Presentation 2022-04-22
A Study on Parametric Bilinear Inference via Gaussian Belief Propagation
Kenta Ito, Takumi Takahashi, Koji Igarashi, Shinsuke Ibi, Seiichi Sampei,
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Abstract(in Japanese) (See Japanese page)
Abstract(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)
Keyword(in English) Parametric bilinear inference / Gaussian belief propagation / generalized approximate message passing
Paper # RCS2022-8
Date of Issue 2022-04-14 (RCS)

Conference Information
Committee RCS
Conference Date 2022/4/21(2days)
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.
Chair Eiji Okamoto(Nagoya Inst. of Tech.)
Vice Chair Toshihiko Nishimura(Hokkaido Univ.) / Tomoya Tandai(Toshiba) / Fumihide Kojima(NICT)
Secretary Toshihiko Nishimura(NEC) / Tomoya Tandai(Panasonic) / Fumihide Kojima
Assistant Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Manabu Sakai(Mitsubishi Electric) / Masashi Iwabuchi(NTT) / Tatsuki Okuyama(NTT DOCOMO)

Paper Information
Registration To Technical Committee on Radio Communication Systems
Language JPN
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
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.)
Date 2022-04-22
Paper # RCS2022-8
Volume (vol) vol.122
Number (no) RCS-6
Page pp.pp.35-40(RCS),
#Pages 6
Date of Issue 2022-04-14 (RCS)