论文标题
使用基于得分的生成模型建模SO(3)歧管上的Halo和中央星系取向
Modeling halo and central galaxy orientations on the SO(3) manifold with score-based generative models
论文作者
论文摘要
即将进行的宇宙学弱透镜调查有望以前所未有的精度来限制宇宙学参数。为了准备这些调查,需要大型模拟具有逼真的星系群来测试和验证分析管道。但是,这些模拟在计算上非常昂贵 - 并且在即将进行的宇宙学调查所需的卷和决议下,它们在计算上是不可行的。在这里,我们提出了一种深层生成建模方法,以解决合成目录中模拟现实的3D星系方向的特定问题。为此,我们为SO(3)歧管开发了一种基于分数的新型扩散模型。该模型准确地学习和再现了星系和暗物质光环的相关方向,这些方向在统计学上与参考高分辨率的流体动力学模拟相一致。
Upcoming cosmological weak lensing surveys are expected to constrain cosmological parameters with unprecedented precision. In preparation for these surveys, large simulations with realistic galaxy populations are required to test and validate analysis pipelines. However, these simulations are computationally very costly -- and at the volumes and resolutions demanded by upcoming cosmological surveys, they are computationally infeasible. Here, we propose a Deep Generative Modeling approach to address the specific problem of emulating realistic 3D galaxy orientations in synthetic catalogs. For this purpose, we develop a novel Score-Based Diffusion Model specifically for the SO(3) manifold. The model accurately learns and reproduces correlated orientations of galaxies and dark matter halos that are statistically consistent with those of a reference high-resolution hydrodynamical simulation.