用机器学习改进Feynman积分的分部积分化简

IF 5.4 1区 物理与天体物理 Q1 Physics and Astronomy
Matt von Hippel, Matthias Wilhelm
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引用次数: 0

摘要

费曼积分的分部积分化简是理论粒子和引力波物理中最先进的计算中经常遇到的瓶颈,并且依赖于启发式方法来选择分部积分恒恒性,其质量严重影响性能。在本文中,我们研究了使用机器学习技术来找到改进的启发式。我们使用funsearch(一种基于大型语言模型生成代码的遗传编程变体)来探索可能的方法,然后使用强类型遗传编程来寻找有用的解决方案。这两种方法都设法重新发现了最近合并到分部积分求解器中的最先进的启发式方法,并且在一个示例中发现了该技术的一个小进展。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Refining Integration-by-Parts Reduction of Feynman Integrals with Machine Learning

Integration-by-parts reductions of Feynman integrals pose a frequent bottleneck in state-of-the-art calculations in theoretical particle and gravitational-wave physics, and rely on heuristic approaches for selecting integration-by-parts identities, whose quality heavily influences the performance. In this paper, we investigate the use of machine-learning techniques to find improved heuristics. We use funsearch, a genetic programming variant based on code generation by a Large Language Model, in order to explore possible approaches, then use strongly typed genetic programming to zero in on useful solutions. Both approaches manage to re-discover the state-of-the-art heuristics recently incorporated into integration-by-parts solvers, and in one example find a small advance on this state of the art.

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来源期刊
Journal of High Energy Physics
Journal of High Energy Physics 物理-物理:粒子与场物理
CiteScore
10.30
自引率
46.30%
发文量
2107
审稿时长
1.5 months
期刊介绍: The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).
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