用对称性约束让深度学习模型更稳定且可解释。
Stable and Interpretable Jet Physics with IRC-Safe Equivariant Feature Extraction
- 设计满足红外-胶子安全的图神经网络,融合物理先验
- 模型在不同训练下更稳定,特征分布更可解释
- 适合需要可信推理的高能物理深度学习研究
深度学习在喷注分类任务中表现卓越,但其内部机制仍不清晰,难以与已知的量子色动力学(QCD)可观测量对应。为提升可解释性,本文系统研究了用于夸克-胶子判别的图神经网络,并引入物理启发的归纳偏置。特别地,设计了满足红外-共线(IRC)安全性以及快速度-方位角平面中E(2)和O(2)等变性的消息传递架构。基于模拟喷注数据集,对比了这些物理感知网络与无约束基线在分类性能、对软发射的鲁棒性及潜在表示结构方面的表现。结果表明,物理引导的网络在不同训练实例间更稳定,其潜在方差分布在多个可解释方向上。通过将能量流多项式回归到主成分上,建立了学习表征与经典IRC安全喷注可观测量之间的直接联系。这证明嵌入对称性与安全性约束不仅能增强鲁棒性,还能使网络表示扎根于已知的QCD结构,为对撞机物理中的可解释深度学习提供原则性方法。
原文摘要 · Abstract (English)
Deep learning has achieved remarkable success in jet classification tasks, yet a key challenge remains: understanding what these models learn and how their features relate to known QCD observables. Improving interpretability is essential for building robust and trustworthy machine learning tools in collider physics. To address this challenge, we investigate graph neural networks for quark-gluon discrimination, systematically incorporating physics-motivated inductive biases. In particular, we design message-passing architectures that enforce infrared and collinear (IRC) safety, as well as E(2) and O(2) equivariance in the rapidity-azimuth plane. Using simulated jet datasets, we compare these networks against unconstrained baselines in terms of classification performance, robustness to soft emissions, and latent representation structures. Our analysis shows that physics-aware networks are more stable across training instances and distribute their latent variance across multiple interpretable directions. By regressing Energy Flow Polynomials onto the leading principal components, we establish a direct correspondence between learned representations and established IRC-safe jet observables. These results demonstrate that embedding symmetry and safety constraints not only improves robustness but also grounds network representations in known QCD structures, providing a principled approach toward interpretable deep learning in collider physics.
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