Gauge Flow Models

Fuente: arXiv
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Autori principali: Strunk, Alexander, Assam, Roland
Natura: Preprint
Pubblicazione: 2025
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author Strunk, Alexander
Assam, Roland
author_facet Strunk, Alexander
Assam, Roland
contents This paper introduces Gauge Flow Models, a novel class of Generative Flow Models. These models incorporate a learnable Gauge Field within the Flow Ordinary Differential Equation (ODE). A comprehensive mathematical framework for these models, detailing their construction and properties, is provided. Experiments using Flow Matching on Gaussian Mixture Models demonstrate that Gauge Flow Models yields significantly better performance than traditional Flow Models of comparable or even larger size. Additionally, unpublished research indicates a potential for enhanced performance across a broader range of generative tasks.
format Preprint
id arxiv_https___arxiv_org_abs_2507_13414
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Gauge Flow Models
Strunk, Alexander
Assam, Roland
Machine Learning
Artificial Intelligence
Differential Geometry
This paper introduces Gauge Flow Models, a novel class of Generative Flow Models. These models incorporate a learnable Gauge Field within the Flow Ordinary Differential Equation (ODE). A comprehensive mathematical framework for these models, detailing their construction and properties, is provided. Experiments using Flow Matching on Gaussian Mixture Models demonstrate that Gauge Flow Models yields significantly better performance than traditional Flow Models of comparable or even larger size. Additionally, unpublished research indicates a potential for enhanced performance across a broader range of generative tasks.
title Gauge Flow Models
topic Machine Learning
Artificial Intelligence
Differential Geometry
url https://arxiv.org/abs/2507.13414