arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0906.0995astro-ph.COastro-ph.IM
收藏

基于光谱连通性分析的测光红移估计

Photometric Redshift Estimation Using Spectral Connectivity Analysis

P. E. Freeman, J. A. Newman, A. B. Lee, J. W. Richards, C. M. Schafer

摘要:

快速和准确的光度红移估算方法的发展是朝着能够在精确宇宙学中充分利用下一代巡天数据迈出的重要一步。在本文中,我们应用了一种特殊的方法来进行光谱连接分析(SCA; Lee & Wasserman 2009),称为扩散图。SCA是一类用于转换观测数据的非线性技术(例如,每个星系的光度颜色,其中数据位于p维空间的复杂子集上)到一个更简单、更自然的坐标系,其中我们应用回归来进行红移预测。由于SCA依赖于本征分解,我们的训练集大小被限制在~ 10,000个星系;我们使用Nystrom扩展来快速估计不在训练集中的对象的扩散坐标。我们将我们的方法应用于350,738个SDSS主要样本星系,29,816个SDSS发光红星系和5,223个来自DEEP 2的CFHTLS ugriz光度学星系。对于所有三个数据集,我们实现了与以前的分析相当的预测精度,并发现使用Nystrom扩展导致预测精度相对于训练集的损失可以忽略不计。正如以前的一些分析(例如,Collister & Lahav 2004,Ball et al. 2008),我们观察到我们的预测在低(高)红移区域通常太高(低)。我们证明这是衰减偏差的表现,其中测量误差(即,由于测量的通量/量值的不确定性而导致的扩散坐标的不确定性)减小了最佳拟合回归线的斜率。如果我们要在精确宇宙学中使用计算效率高的经验方法来估计光度红移,那么就必须减轻这种偏差。

英文摘要:

The development of fast and accurate methods of photometric redshift estimation is a vital step towards being able to fully utilize the data of next-generation surveys within precision cosmology. In this paper we apply a specific approach to spectral connectivity analysis (SCA; Lee & Wasserman 2009) called diffusion map. SCA is a class of non-linear techniques for transforming observed data (e.g., photometric colours for each galaxy, where the data lie on a complex subset of p-dimensional space) to a simpler, more natural coordinate system wherein we apply regression to make redshift predictions. As SCA relies upon eigen-decomposition, our training set size is limited to ~ 10,000 galaxies; we use the Nystrom extension to quickly estimate diffusion coordinates for objects not in the training set. We apply our method to 350,738 SDSS main sample galaxies, 29,816 SDSS luminous red galaxies, and 5,223 galaxies from DEEP2 with CFHTLS ugriz photometry. For all three datasets, we achieve prediction accuracies on par with previous analyses, and find that use of the Nystrom extension leads to a negligible loss of prediction accuracy relative to that achieved with the training sets. As in some previous analyses (e.g., Collister & Lahav 2004, Ball et al. 2008), we observe that our predictions are generally too high (low) in the low (high) redshift regimes. We demonstrate that this is a manifestation of attenuation bias, wherein measurement error (i.e., uncertainty in diffusion coordinates due to uncertainty in the measured fluxes/magnitudes) reduces the slope of the best-fit regression line. Mitigation of this bias is necessary if we are to use photometric redshift estimates produced by computationally efficient empirical methods in precision cosmology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑