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Table 3.
Statistics on the recovery of dark matter halo distribution with the proposed approaches.
| Method | Bias | RMSE | MAD | |
|---|---|---|---|---|
| α = 0 | 0.0002 | 3.09 | 0.83 | |
| α = 0.1 | 0.0002 | 3.05 | 0.81 | |
| α = 0.2 | 0.0002 | 3.02 | 0.80 | |
| α = 0.3 | 0.0002 | 3.00 | 0.80 | |
| Rotation | α = 0.4 | 0.0002 | 2.97 | 0.79 |
| α = 0.5 | 0.0002 | 2.95 | 0.78 | |
| α = 0.6 | 0.0002 | 2.94 | 0.78 | |
| α = 0.7 | 0.0002 | 2.92 | 0.77 | |
| α = 0.8 | 0.0002 | 2.92 | 0.77 | |
| α = 0.9 | 0.0002 | 2.91 | 0.77 | |
| α = 1 | 0.0002 | 2.90 | 0.77 | |
| α = 0 | 0.0002 | 1.64 | 0.86 | |
| α = 0.1 | 0.0002 | 1.58 | 0.84 | |
| α = 0.2 | 0.0002 | 1.53 | 0.82 | |
| α = 0.3 | 0.0002 | 1.49 | 0.81 | |
| Patchwork | α = 0.4 | 0.0002 | 1.45 | 0.80 |
| α = 0.5 | 0.0002 | 1.43 | 0.79 | |
| α = 0.6 | 0.0002 | 1.39 | 0.78 | |
| α = 0.7 | 0.0002 | 1.37 | 0.78 | |
| α = 0.8 | 0.0002 | 1.35 | 0.77 | |
| α = 0.9 | 0.0002 | 1.34 | 0.77 | |
| α = 1 | 0.0002 | 1.35 | 0.77 | |
| Dict. Learn. | 0.0002 | 1.32 | 0.72 | |
Notes. Bias, root mean square error (RMSE), and mean absolute deviation (MAD) are presented. The best results for RMSE and MAD are in bold, the best results among α-shearlets are underlined.
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