论文标题
有效地估算与配对固定场
Efficiently estimating mean, uncertainty and unconstrained large scale fraction of local Universe simulations with paired fixed fields
论文作者
论文摘要
提供了宇宙学模型的随机实现,对我们的宇宙社区的观察现在使我们能够构建后者的模拟,以便至非线性阈值。因此,所得的本地宇宙模型准确地直至给定的残差宇宙方差。即某些区域和量表显然不受数据的约束,并且似乎是纯粹随机的。得出结论及其不确定性涉及到统计数据,暗示着大量的计算时间。通过将约束算法应用于配对的固定字段,本文将原始技术从其首次使用的原始技术转移到在随机字段获得的本地宇宙模拟上有效地分解并估计不确定性的不确定性。配对的固定字段与随机实现不同,因为它们的傅立叶模式幅度是固定的,并且它们完全不相同。受约束的配对固定场表明,在大尺度(>>数十兆帕)上只有20%的功率谱是纯粹的随机。即80%的部分受到大规模 /小规模数据相关性的约束。此外,我们对同一对配对的固定场获得的两种实现构成了后者的出色非偏差平均或准线性实现,即相当于数百个约束模拟。这两个实现之间的差异使可实现的本地宇宙模拟的不确定性。这两个模拟将允许大幅度减少所需的计算时间来欣赏其建模限制和不确定性,使我们的本地宇宙网络理解更快地增强。
Provided a random realization of the cosmological model, observations of our cosmic neighborhood now allow us to build simulations of the latter down to the non-linear threshold. The resulting local Universe models are thus accurate up to a given residual cosmic variance. Namely some regions and scales are apparently not constrained by the data and seem purely random. Drawing conclusions together with their uncertainties involves then statistics implying a considerable amount of computing time. By applying the constraining algorithm to paired fixed fields, this paper diverts the original techniques from their first use to efficiently disentangle and estimate uncertainties on local Universe simulations obtained with random fields. Paired fixed fields differ from random realizations in the sense that their Fourier mode amplitudes are fixed and they are exactly out of phase. Constrained paired fixed fields show that only 20% of the power spectrum on large scales (> tens of megaparsecs) is purely random. Namely 80% of it is partly constrained by the large scale / small scale data correlations. Additionally, two realizations of our local environment obtained with paired fixed fields of the same pair constitute an excellent non-biased average or quasi-linear realization of the latter, namely the equivalent of hundreds of constrained simulations. The variance between these two realizations gives the uncertainty on the achievable local Universe simulations. These two simulations will permit enhancing faster our local cosmic web understanding thanks to a drastically reduced required computational time to appreciate its modeling limits and uncertainties.