引力波的降阶模型和代用模型

IF 26.3 2区 物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS
Manuel Tiglio, Aarón Villanueva
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引用次数: 0

摘要

我们将介绍引力波(GW)科学中减阶和替代建模的一些最新技术。我们介绍的方法包括主成分分析、适当的正交(奇异值)分解、还原基方法、经验插值法、还原阶四元数和压缩似然评估。我们将综述分为三个部分:已知数据的表示/压缩、预测模型和数据分析。目标受众是全球水文科学领域的从业人员,在这一领域中,建立既准确又能快速评估的预测模型和数据分析工具是必要的,尤其是在处理大量数据和密集计算时,但这也是一项挑战。因此,在缺乏严谨性的情况下,人们更倾向于采用实用的介绍,有时甚至是启发式方法。本综述旨在自成体系,在合理的页数限制内,对数学、科学计算及相关学科的知识(本科水平)要求不高。重点是最优性、维度诅咒以及有可能战胜它的方法。我们还回顾了 GW 代理的大部分技术现状。我们还讨论了一些数值算法、调节细节、可扩展性、并行化和其他实际问题。所介绍的方法在很大程度上是非侵入式的(即不调用微分方程)和数据驱动的,因此可适用于其他学科。最后,我们提出了高维度代用的挑战,这些挑战并非地球物理学所独有。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Reduced order and surrogate models for gravitational waves

Reduced order and surrogate models for gravitational waves

We present an introduction to some of the state of the art in reduced order and surrogate modeling in gravitational-wave (GW) science. Approaches that we cover include principal component analysis, proper orthogonal (singular value) decompositions, the reduced basis approach, the empirical interpolation method, reduced order quadratures, and compressed likelihood evaluations. We divide the review into three parts: representation/compression of known data, predictive models, and data analysis. The targeted audience is practitioners in GW science, a field in which building predictive models and data analysis tools that are both accurate and fast to evaluate, especially when dealing with large amounts of data and intensive computations, are necessary yet can be challenging. As such, practical presentations and, sometimes, heuristic approaches are here preferred over rigor when the latter is not available. This review aims to be self-contained, within reasonable page limits, with little previous knowledge (at the undergraduate level) requirements in mathematics, scientific computing, and related disciplines. Emphasis is placed on optimality, as well as the curse of dimensionality and approaches that might have the promise of beating it. We also review most of the state of the art of GW surrogates. Some numerical algorithms, conditioning details, scalability, parallelization and other practical points are discussed. The approaches presented are to a large extent non-intrusive (in the sense that no differential equations are invoked) and data-driven and can therefore be applicable to other disciplines. We close with open challenges in high dimension surrogates, which are not unique to GW science.

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来源期刊
Living Reviews in Relativity
Living Reviews in Relativity 物理-物理:粒子与场物理
CiteScore
69.90
自引率
0.70%
发文量
0
审稿时长
20 weeks
期刊介绍: Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.
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