For generative flows on multiscale scientific fields, the noise spectrum should be at least as rough as the data's, and a scale-adaptive schedule can tame the terminal-time stiffness of rougher noise.
Condi- tional score-based diffusion models for bayesian inference in infinite dimensions.Advances in Neural Information Processing Systems, 36, 2024
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Scale-Adaptive Generative Flows for Multiscale Scientific Data
For generative flows on multiscale scientific fields, the noise spectrum should be at least as rough as the data's, and a scale-adaptive schedule can tame the terminal-time stiffness of rougher noise.