论文标题

图形神经网络上的星系和光环:深层生成建模标量和内在比对的矢量数量

Galaxies and Halos on Graph Neural Networks: Deep Generative Modeling Scalar and Vector Quantities for Intrinsic Alignment

论文作者

Jagvaral, Yesukhei, Lanusse, François, Singh, Sukhdeep, Mandelbaum, Rachel, Ravanbakhsh, Siamak, Campbell, Duncan

论文摘要

为了准备即将进行的宽阔宇宙学调查,需要对具有逼真的星系群体的宇宙进行大型模拟。特别是,星系自然朝着过度保持一致的趋势,一种称为固有比对(IA)的效果可以是弱透镜分析中系统学的主要来源。由于无法在此类卷中模拟与IA相关的星系形成和与IA相关的进化的细节,因此我们建议作为一种深层生成模型的替代方法。该模型在Illustristng-100模拟上进行了训练,并能够对星系群的方向进行取样,从而恢复正确的排列。在我们的方法中,我们将宇宙网络建模为一组图形,在其中为每个光环构造图形,而星系方向作为这些图表上的信号。生成模型是在生成对抗网络体系结构上实现的,并使用针对顶点的相对3D位置敏感的专门设计的图形横向倾斜网络。给定(子)光环质量和潮汐场,该模型能够学习和预测标量特征,例如星系和暗物质subhalo形状。更重要的是,矢量特征,例如椭圆形的主要轴的3D方向和复杂的2D椭圆率。对于3D方向的相关性,模型与模拟的测量值有很好的定量一致,除了在非常小且过渡尺度下。对于2D椭圆率的相关性,该模型与所有尺度上的模拟中的测量值都具有良好的定量一致性。此外,该模型能够捕获IA对质量,形态类型和中央/卫星类型的依赖性。

In order to prepare for the upcoming wide-field cosmological surveys, large simulations of the Universe with realistic galaxy populations are required. In particular, the tendency of galaxies to naturally align towards overdensities, an effect called intrinsic alignments (IA), can be a major source of systematics in the weak lensing analysis. As the details of galaxy formation and evolution relevant to IA cannot be simulated in practice on such volumes, we propose as an alternative a Deep Generative Model. This model is trained on the IllustrisTNG-100 simulation and is capable of sampling the orientations of a population of galaxies so as to recover the correct alignments. In our approach, we model the cosmic web as a set of graphs, where the graphs are constructed for each halo, and galaxy orientations as a signal on those graphs. The generative model is implemented on a Generative Adversarial Network architecture and uses specifically designed Graph-Convolutional Networks sensitive to the relative 3D positions of the vertices. Given (sub)halo masses and tidal fields, the model is able to learn and predict scalar features such as galaxy and dark matter subhalo shapes; and more importantly, vector features such as the 3D orientation of the major axis of the ellipsoid and the complex 2D ellipticities. For correlations of 3D orientations the model is in good quantitative agreement with the measured values from the simulation, except for at very small and transition scales. For correlations of 2D ellipticities, the model is in good quantitative agreement with the measured values from the simulation on all scales. Additionally, the model is able to capture the dependence of IA on mass, morphological type and central/satellite type.

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