PTL-Diffusion replaces the standard single Gaussian terminal law in diffusion models with a periodically forced Ornstein-Uhlenbeck forward process that yields an explicit periodic family of Gaussian terminal distributions, and reports improved manifold matching on torus, cylinder, and face datasets
Random periodic solutions for stochas- tic differential equations with non-uniform dissipativity.arXiv preprint arXiv:2202.09771, 2022
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PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws
PTL-Diffusion replaces the standard single Gaussian terminal law in diffusion models with a periodically forced Ornstein-Uhlenbeck forward process that yields an explicit periodic family of Gaussian terminal distributions, and reports improved manifold matching on torus, cylinder, and face datasets