Research map / Learning theory and algorithms / Matrix and tensor methods
Learning Sparse and Low-Rank Priors for Image Recovery via Iterative Reweighted Least Squares Minimization
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use learned weights with the convex ℓ1 sparse prior instead of the unweighted ℓ1 prior (ablation) | LIRLS grayscale image recovery · Grayscale deblurring benchmarks | PSNR: 31.98 -> 32.70; 35.19 -> 35.75 | Helped |
| Use learned weights with the ℓ1 sparse prior instead of the unweighted ℓ1 prior (ablation) | LIRLS grayscale image recovery · MRI reconstruction | PSNR: 28.53 -> 30.11; 25.86 -> 28.02 | Helped |
| Use a learned nonconvex norm order p<1 rather than the nuclear norm (ablation) | LIRLS color image recovery · Color deblurring | PSNR: 33.09 -> 34.17 | Helped |
| Use learned weights with the S_p^p low-rank prior (ablation) | LIRLS color image recovery · Color deblurring | PSNR: 34.17 -> 34.24 | No clear effect |
| Use learned weights with the S_p^p low-rank prior (ablation) | LIRLS color image recovery · McMaster demosaicking, 3% noise | PSNR: 32.44 -> 33.34 | Helped |
| Use learned weights with the S_p^p low-rank prior (ablation) | LIRLS color image recovery · McMaster demosaicking, 0% noise | PSNR: 37.66 -> 37.62 | No clear effect |
| Use learned weights with the ℓp^p sparse prior (ablation) | LIRLS grayscale image recovery · MRI reconstruction | PSNR: 28.99 -> 29.75; 26.19 -> 27.30 | Hurt |
| Use the convex ℓ1 weighted prior instead of the nonconvex ℓp^p weighted prior (ablation) | LIRLS grayscale image recovery · MRI reconstruction | PSNR: 29.75 -> 30.11; 27.30 -> 28.02 | Helped |
| Use learned weights with the ℓ1 sparse prior (ablation) | LIRLS grayscale image recovery · Grayscale super-resolution x2, 0% noise | PSNR: 28.20 -> 28.76 | Helped |
Closest papers by meaning
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- Iteratively Reweighted Least Squares for Basis Pursuit with Global Linear Convergence Rate (NeurIPS 2021 · similarity 0.89)
- Iterative Regularization with k-support Norm: An Important Complement to Sparse Recovery (AAAI 2024 · similarity 0.87)
- A Restoration Network as an Implicit Prior (ICLR 2024 · similarity 0.87)
- NPN: Non-Linear Projections of the Null-Space for Imaging Inverse Problems (NeurIPS 2025 · similarity 0.87)
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