论文标题
机器学习应用于模拟旋转,分化行星之间的碰撞
Machine learning applied to simulations of collisions between rotating, differentiated planets
论文作者
论文摘要
在陆生星形成的后期,行星大小的物体之间的成对碰撞是行星生长的基本推动剂。这些碰撞会导致所涉及的身体的增长或破坏,并在很大程度上负责塑造行星的最终特征。尽管在行星形成中起着至关重要的作用,但对碰撞的准确处理尚未实现。尽管已经提出了半分析方法,但它们仍然限于一组狭窄的影响后特性,并且仅达到了相对较低的精度。但是,机器学习的兴起并获得了增加的计算能力,已经实现了新颖的数据驱动方法。在这项工作中,我们表明,数据驱动的仿真技术能够以很高的精度预测碰撞的结果,并且可以推广到任何可量化的后影响后数量。特别是,我们专注于来自机器学习(集合方法和神经网络)的四种不同数据驱动技术的数据集要求,训练管道和回归性能,以及不确定性量化(高斯流程和多项式混乱扩展)。我们将这些方法与现有的分析和半分析方法进行比较。此类数据驱动的模拟器准备替换N体模拟中当前使用的方法。这项工作基于在所有可能的相互取向旋转,分化的身体之间的成对碰撞的新型SPH模拟。
In the late stages of terrestrial planet formation, pairwise collisions between planetary-sized bodies act as the fundamental agent of planet growth. These collisions can lead to either growth or disruption of the bodies involved and are largely responsible for shaping the final characteristics of the planets. Despite their critical role in planet formation, an accurate treatment of collisions has yet to be realized. While semi-analytic methods have been proposed, they remain limited to a narrow set of post-impact properties and have only achieved relatively low accuracies. However, the rise of machine learning and access to increased computing power have enabled novel data-driven approaches. In this work, we show that data-driven emulation techniques are capable of predicting the outcome of collisions with high accuracy and are generalizable to any quantifiable post-impact quantity. In particular, we focus on the dataset requirements, training pipeline, and regression performance for four distinct data-driven techniques from machine learning (ensemble methods and neural networks) and uncertainty quantification (Gaussian processes and polynomial chaos expansion). We compare these methods to existing analytic and semi-analytic methods. Such data-driven emulators are poised to replace the methods currently used in N-body simulations. This work is based on a new set of 10,700 SPH simulations of pairwise collisions between rotating, differentiated bodies at all possible mutual orientations.