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Learning Sparse and Low-Rank Priors for Image Recovery via Iterative Reweighted Least Squares Minimization

ICLR 2023 · Learning theory and algorithms › Matrix and tensor methods · approach: Signal recovery and phase retrieval · 3 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use learned weights with the convex ℓ1 sparse prior instead of the unweighted ℓ1 prior (ablation)LIRLS grayscale image recovery · Grayscale deblurring benchmarksPSNR: 31.98 -> 32.70; 35.19 -> 35.75Helped
Use learned weights with the ℓ1 sparse prior instead of the unweighted ℓ1 prior (ablation)LIRLS grayscale image recovery · MRI reconstructionPSNR: 28.53 -> 30.11; 25.86 -> 28.02Helped
Use a learned nonconvex norm order p<1 rather than the nuclear norm (ablation)LIRLS color image recovery · Color deblurringPSNR: 33.09 -> 34.17Helped
Use learned weights with the S_p^p low-rank prior (ablation)LIRLS color image recovery · Color deblurringPSNR: 34.17 -> 34.24No clear effect
Use learned weights with the S_p^p low-rank prior (ablation)LIRLS color image recovery · McMaster demosaicking, 3% noisePSNR: 32.44 -> 33.34Helped
Use learned weights with the S_p^p low-rank prior (ablation)LIRLS color image recovery · McMaster demosaicking, 0% noisePSNR: 37.66 -> 37.62No clear effect
Use learned weights with the ℓp^p sparse prior (ablation)LIRLS grayscale image recovery · MRI reconstructionPSNR: 28.99 -> 29.75; 26.19 -> 27.30Hurt
Use the convex ℓ1 weighted prior instead of the nonconvex ℓp^p weighted prior (ablation)LIRLS grayscale image recovery · MRI reconstructionPSNR: 29.75 -> 30.11; 27.30 -> 28.02Helped
Use learned weights with the ℓ1 sparse prior (ablation)LIRLS grayscale image recovery · Grayscale super-resolution x2, 0% noisePSNR: 28.20 -> 28.76Helped

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