论文标题
年鉴：弱透镜功率光谱和掩盖球的地图推断
Almanac: Weak Lensing power spectra and map inference on the masked sphere
论文作者
论文摘要
我们提出了弱透镜的基于场基的信号提取，从弯曲和掩盖的天空上的嘈杂观测值中提取。我们使用类似欧几里德的面罩和噪声水平对模拟的欧几里得样调查进行了分析。为了最佳地使用此类银河调查中可用的信息，我们提出了一种贝叶斯方法，用于推断弱透镜场的角功率光谱，以及推断噪声清洁层析成像弱透镜剪切和收敛（投影质量）地图的推断。后者可用于田间级别的推断，目的是提取宇宙参数信息，包括宇宙场的非高斯性。我们从蒙面的天空中共同推断出全天空$ e $ - mmode和$ b $ mmode自动和跨功能光谱，并可能偶尔 - 贵族$ $ - $ - $ -MODE POWER SPECTRA，最大值为$ \ ell _ {\ rm max} = 2048 $。我们使用汉密尔顿蒙特卡洛采样，同时推断功率谱，并以$ \ sim 16.8 $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $的自由参数。主要输出和自然结果是后验样本集，除非降低到点估计，否则该样本不会遭受电力泄漏到$ e $ $ $ $ b $的损失。但是，可以根据需要计算功率谱，平均值和最可能的图及其方差和协方差的估计值。
We present a field-based signal extraction of weak lensing from noisy observations on the curved and masked sky. We test the analysis on a simulated Euclid-like survey, using a Euclid-like mask and noise level. To make optimal use of the information available in such a galaxy survey, we present a Bayesian method for inferring the angular power spectra of the weak lensing fields, together with an inference of the noise-cleaned tomographic weak lensing shear and convergence (projected mass) maps. The latter can be used for field-level inference with the aim of extracting cosmological parameter information including non-gaussianity of cosmic fields. We jointly infer all-sky $E$-mode and $B$-mode tomographic auto- and cross-power spectra from the masked sky, and potentially parity-violating $EB$-mode power spectra, up to a maximum multipole of $\ell_{\rm max}=2048$. We use Hamiltonian Monte Carlo sampling, inferring simultaneously the power spectra and denoised maps with a total of $\sim 16.8$ million free parameters. The main output and natural outcome is the set of samples of the posterior, which does not suffer from leakage of power from $E$ to $B$ unless reduced to point estimates. However, such point estimates of the power spectra, the mean and most likely maps, and their variances and covariances, can be computed if desired.
