| Method | Implementation | Measurements matrix | Robustness | Sparse solution |
| L0L1PR [23] | ADMM | Fourier related | Noise | ✓ |
| LAD-ADMM [24] | ADMM | Gaussian | Gaussian mixture noises |
|
| Median-RWF [1] | Gradient descent | Gaussian | Noise outliers |
|
| Median-MRWF [25] | Gradient descent | Gaussian | Noise outliers |
|
| L1/2LAD PR [18] | ADMM | Gaussian | Noise outliers | ✓ |
| L1/2QR PR | ADMM | Gaussian | Noise outliers | ✓ |