Results of error improvement from the 900 optimized mark functions shown in Fig. 3. We display the error ratio, |$r = \epsilon ^\Delta _{i}/{\epsilon _{i}}$| of the mean curves displayed in Fig. 3, with the various covariance approximations described in Section 2.3.3. The last two rows show the results obtained with the W16 parameterizations for parameters |$p=1$|, |$\delta _s=0.5$| (Massara et al. 2024).
| Mark type . | |$R\, [h^{-1}\, {\rm Mpc}]$| . | |${r}(\sigma _8)$| . | |${r}(\Omega _\mathrm{m})$| . |
|---|---|---|---|
| 5 | 1.3 | 2.7 | |
| Optimized, Gaussian Cov. | 10 | 1.4 | 4.1 |
| 30 | 1.4 | 4.5 | |
| 5 | 2.0 | 4.5 | |
| Optimized, Combined Cov. | 10 | 2.1 | 4.6 |
| 30 | 2.0 | 3.5 | |
| W16, Gaussian Cov. | 30 | 1.4 | 4.5 |
| W16, Combined Cov. | 30 | 1.7 | 2.8 |
| Mark type . | |$R\, [h^{-1}\, {\rm Mpc}]$| . | |${r}(\sigma _8)$| . | |${r}(\Omega _\mathrm{m})$| . |
|---|---|---|---|
| 5 | 1.3 | 2.7 | |
| Optimized, Gaussian Cov. | 10 | 1.4 | 4.1 |
| 30 | 1.4 | 4.5 | |
| 5 | 2.0 | 4.5 | |
| Optimized, Combined Cov. | 10 | 2.1 | 4.6 |
| 30 | 2.0 | 3.5 | |
| W16, Gaussian Cov. | 30 | 1.4 | 4.5 |
| W16, Combined Cov. | 30 | 1.7 | 2.8 |
Results of error improvement from the 900 optimized mark functions shown in Fig. 3. We display the error ratio, |$r = \epsilon ^\Delta _{i}/{\epsilon _{i}}$| of the mean curves displayed in Fig. 3, with the various covariance approximations described in Section 2.3.3. The last two rows show the results obtained with the W16 parameterizations for parameters |$p=1$|, |$\delta _s=0.5$| (Massara et al. 2024).
| Mark type . | |$R\, [h^{-1}\, {\rm Mpc}]$| . | |${r}(\sigma _8)$| . | |${r}(\Omega _\mathrm{m})$| . |
|---|---|---|---|
| 5 | 1.3 | 2.7 | |
| Optimized, Gaussian Cov. | 10 | 1.4 | 4.1 |
| 30 | 1.4 | 4.5 | |
| 5 | 2.0 | 4.5 | |
| Optimized, Combined Cov. | 10 | 2.1 | 4.6 |
| 30 | 2.0 | 3.5 | |
| W16, Gaussian Cov. | 30 | 1.4 | 4.5 |
| W16, Combined Cov. | 30 | 1.7 | 2.8 |
| Mark type . | |$R\, [h^{-1}\, {\rm Mpc}]$| . | |${r}(\sigma _8)$| . | |${r}(\Omega _\mathrm{m})$| . |
|---|---|---|---|
| 5 | 1.3 | 2.7 | |
| Optimized, Gaussian Cov. | 10 | 1.4 | 4.1 |
| 30 | 1.4 | 4.5 | |
| 5 | 2.0 | 4.5 | |
| Optimized, Combined Cov. | 10 | 2.1 | 4.6 |
| 30 | 2.0 | 3.5 | |
| W16, Gaussian Cov. | 30 | 1.4 | 4.5 |
| W16, Combined Cov. | 30 | 1.7 | 2.8 |
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