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Variational Bayesian and Generalized Approximate Message Passing-Based Sparse Bayesian Learning Model for Image Reconstruction

delete2022-01-01
delete5
PRE
AI
J
Jingyi Dong
W
Wentao Lyu *
D
Di Zhou
W
Weiqiang Xu
DOI:10.1109/LSP.2022.3221344delete
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Abstract

Abstract

En 中文
In this paper, we present a novel sparse Bayesian learning (SBL) framework for large-scale image recovery. We formulate variational Bayesian (VB) and generalized approximate message passing (GAMP) into the SBL model (called VGAMP-SBL) to speed up image reconstruction. GAMP can be argued a scalar estimation function described by a set of simple state evolution (SE) equations. From the SE equations, one can accurately predict the values of SBL Params, while it can obtain better reconstruction results without matrix inversion. Moreover, the interaction between data fluctuations and parameter fluctuations is negligible in VB structure, so the maximum marginal likelihood function can be easily obtained, This improves the computation efficiency of our algorithm greatly. Experimental results corroborate these claims.
Keywords:
Signal processing algorithms
Image reconstruction
Approximation algorithms
Sparse Bayesian learning
variational Bayesian
generalized approximate message passing
image reconstruction

Journal

IEEE Signal Processing Magazine cover
IEEE Signal Processing Magazine
IF:
9.6
Papers:
1.1W
Citations:
1.7W

Organization

Z
Zhejiang Sci-Tech University
Scholars:
1.7W
Papers: 1.0W
Citations: 1.3W