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Higher Gauge Flow Models

Created by
  • Haebom

Author

Alexander Strunk, Roland Assam

Outline

This paper proposes a new type of generative flow model, Higher Gauge Flow Models (HGFM). Building on the existing Gauge Flow Models (arXiv:2507.13414), we extend the Lie Algebra using the L∞-algebra, thereby incorporating higher geometry and symmetry related to higher groups into the generative flow model framework. Experimental results using the Gaussian Mixture Model dataset demonstrate improved performance compared to existing flow models.

Takeaways, Limitations

Takeaways: Higher Gauge Flow Models presents a novel approach to improving the performance of existing generative flow models. By incorporating higher geometry and symmetry into the model, we demonstrate that more complex and diverse data distributions can be effectively learned.
Limitations: Currently, only experimental results on the Gaussian Mixture Model dataset are presented, and generalization performance on other datasets has not yet been verified. The increased model complexity and computational cost due to the use of the L∞-algebra should also be considered. Experiments on more diverse and complex datasets and further theoretical analysis are needed.
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