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Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation

  • Diffusion models have become popular for modeling physical systems governed by partial differential equations (PDEs).
  • Constraints on clean samples are typically applied to the expectation of clean samples, leading to a trade-off in generative modeling accuracy known as Jensen's Gap.
  • A new approach called Physics-Informed Distillation of Diffusion Models (PIDDM) proposes post-hoc distillation to enforce PDE constraints effectively.
  • PIDDM improves PDE satisfaction in generative modeling while supporting forward and inverse problem solving, with less computation overhead compared to other baselines.

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