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Noise scheduling and linear dynamics in diffusion models on Lie groups

2026-05-17 · Javad Komijani arxiv

We investigate the role of the noise schedule in diffusion processes on Lie groups, with particular emphasis on applications to lattice gauge theory. We show that a specific noise schedule leads to a linear decay of the expectation value of the Wilson action as a function of diffusion time. We compare this with Euclidean diffusion models, where such behavior requires an explicitly designed drift term, while in the Lie-group setting it arises naturally.

📄 PDF Abstract BibTeX arXiv:2605.17326

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