用物理先验增强深度学习,提升量子色动力学逆问题求解效率。
Physics-Driven Learning for Inverse Problems in Quantum Chromodynamics
- 将对称性、连续性等物理规律嵌入深度学习模型
- 在强相互作用体系中实现更高效准确的物理量预测
- 适合从事高能物理与机器学习交叉研究者参考
深度学习与物理驱动设计的融合正在重塑逆问题的解决方式,即从复杂数据中提取精确的物理特性。这在量子色动力学(QCD)领域尤为重要,因其观测数据有限且计算需求极高。本文综述了物理驱动学习方法在预测QCD物理量方面的进展与潜力,强调机器学习与物理知识结合可带来更高效可靠的解决方案。介绍了机器学习核心思想、物理先验嵌入方法,以及生成模型作为物理概率分布反向建模的应用。具体应用涵盖第一性原理格点计算,以及强子、中子星和重离子碰撞中的QCD物理。这些案例展示了将对称性、连续性及物理方程等先验知识融入深度学习设计,如何有效应对不同物理科学中的多样化逆问题。
原文摘要 · Abstract (English)
The integration of deep learning techniques and physics-driven designs is reforming the way we address inverse problems, in which accurate physical properties are extracted from complex data sets. This is particularly relevant for quantum chromodynamics (QCD), the theory of strong interactions, with its inherent limitations in observational data and demanding computational approaches. This perspective highlights advances and potential of physics-driven learning methods, focusing on predictions of physical quantities towards QCD physics, and drawing connections to machine learning(ML). It is shown that the fusion of ML and physics can lead to more efficient and reliable problem-solving strategies. Key ideas of ML, methodology of embedding physics priors, and generative models as inverse modelling of physical probability distributions are introduced. Specific applications cover first-principle lattice calculations, and QCD physics of hadrons, neutron stars, and heavy-ion collisions. These examples provide a structured and concise overview of how incorporating prior knowledge such as symmetry, continuity and equations into deep learning designs can address diverse inverse problems across different physical sciences.
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