论文标题

使用小波来捕获星系尺度强镜的平滑度的偏差

Using wavelets to capture deviations from smoothness in galaxy-scale strong lenses

论文作者

Galan, Aymeric, Vernardos, Georgios, Peel, Austin, Courbin, Frédéric, Starck, Jean-Luc

论文摘要

建模星系尺度强力透镜的质量分布是增加难度的任务。现在可用的成像数据的高分辨率和深度使简单的分析形式无效地捕获镜头结构,这些镜头结构涵盖了空间尺度,质量尺度和形态的大范围。在这项工作中,我们使用基于小波的新型多尺度方法解决了问题。 We tested our method on simulated Hubble Space Telescope (HST) imaging data of strong lenses containing the following different types of mass substructures making them deviate from smooth models: (1) a localized small dark matter subhalo, (2) a Gaussian random field (GRF) that mimics a nonlocalized population of subhalos along the line of sight, and (3) galaxy-scale multipoles that break elliptical symmetry.我们表明,小波能够准确恢复所有这些结构。通过基于对数千个参数的自动分化,使用梯度信息优化在技术上可以实现,这也使我们能够同时对所有模型参数的后验分布进行采样。通过构造,我们的方法将两个主要建模范式(分析和像素化)与机器学习优化技术合并为单个模块化框架。它也非常适合大型镜头样品的快速建模。此处介绍的所有方法均在我们的新大力神包装中公开使用。

Modeling the mass distribution of galaxy-scale strong gravitational lenses is a task of increasing difficulty. The high-resolution and depth of imaging data now available render simple analytical forms ineffective at capturing lens structures spanning a large range in spatial scale, mass scale, and morphology. In this work, we address the problem with a novel multiscale method based on wavelets. We tested our method on simulated Hubble Space Telescope (HST) imaging data of strong lenses containing the following different types of mass substructures making them deviate from smooth models: (1) a localized small dark matter subhalo, (2) a Gaussian random field (GRF) that mimics a nonlocalized population of subhalos along the line of sight, and (3) galaxy-scale multipoles that break elliptical symmetry. We show that wavelets are able to recover all of these structures accurately. This is made technically possible by using gradient-informed optimization based on automatic differentiation over thousands of parameters, which also allow us to sample the posterior distributions of all model parameters simultaneously. By construction, our method merges the two main modeling paradigms - analytical and pixelated - with machine-learning optimization techniques into a single modular framework. It is also well-suited for the fast modeling of large samples of lenses. All methods presented here are publicly available in our new Herculens package.

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