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Deep Network for Parametric Bilinear Generalized Approximate Message Passing and Its Application in Compressive Sensing under Matrix Uncertainty

Jingjing SI
Wenwen SUN
Chuang LI
Yinbo CHENG

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E104-A    No.4    pp.751-756
Publication Date: 2021/04/01
Publicized: 2020/09/29
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2020EAL2050
Type of Manuscript: LETTER
Category: Digital Signal Processing
Keyword: 
deep learning,  compressive sensing,  parametric bilinear generalized approximate message passing,  matrix uncertainty,  

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Summary: 
Deep learning is playing an increasingly important role in signal processing field due to its excellent performance on many inference problems. Parametric bilinear generalized approximate message passing (P-BiG-AMP) is a new approximate message passing based approach to a general class of structure-matrix bilinear estimation problems. In this letter, we propose a novel feed-forward neural network architecture to realize P-BiG-AMP methodology with deep learning for the inference problem of compressive sensing under matrix uncertainty. Linear transforms utilized in the recovery process and parameters involved in the input and output channels of measurement are jointly learned from training data. Simulation results show that the trained P-BiG-AMP network can achieve higher reconstruction performance than the P-BiG-AMP algorithm with parameters tuned via the expectation-maximization method.


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