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Efficient Sparse Bayesian Learning Model for Image Reconstruction Based on Laplacian Hierarchical Priors and GAMP
1. Introduction The Sparse Bayesian learning (SBL) model has been successfully applied to sparse signal recovery (SSR) or image recovery in various fields [1,2,3]. The essence of SSR is to restore the sparse signal x ∈ R N × 1 from the M < N noisy measurement vector y ∈ R M × 1 . In theory, the model is expressed as follows: y = D x + e , (1) where D ∈ R M × N is the known dictionary matrix and e ∈ R M × 1 is the observation noise.
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