更高的测量流量模型
Higher Gauge Flow Models
Alexander Strunk and Roland Assam
arXiv
2025年7月22日
本文介绍了更高测量流模型,生成流模型的一类新颖。 基于普通测量流模型(arXiv:2507.13414),这些更高的测量流模型利用L_∞代数,有效地扩展了谎言代数。 这种扩展允许将较高的几何形状和与较高组相关的较高对称性集成到生成流模型的框架中。 高斯混合模型数据集的实验评估显示,与传统流模型相比,性能显著提高。
This paper introduces Higher Gauge Flow Models, a novel class of Generative Flow Models. Building upon ordinary Gauge Flow Models (arXiv:2507.13414), these Higher Gauge Flow Models leverage an L_∞-algebra, effectively extending the Lie Algebra. This expansion allows for the integration of the higher geometry and higher symmetries associated with higher groups into the framework of Generative Flow Models. Experimental evaluation on a Gaussian Mixture Model dataset revealed substantial performance...