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ReGuidance: A Simple Diffusion Wrapper for Boosting Sample Quality on Hard Inverse Problems

  • A new method called ReGuidance has been introduced to improve sample quality and rewards in solving hard inverse problems with low signal-to-noise ratios.
  • Diffusion models are being utilized as data priors in solving inverse problems with pretrained models.
  • Training-free methods like diffusion posterior sampling (DPS) offer flexible algorithms but struggle on hard inverse problems.
  • ReGuidance involves inverting a candidate solution using probability flow ODE and initializing DPS with the resulting latent.
  • The ReGuidance wrapper has been tested on tasks like large box in-painting and super-resolution with positive results.
  • State-of-the-art baseline methods fail on these tasks while ReGuidance significantly improves sample quality and measurement consistency.
  • Theory suggests ReGuidance can enhance rewards and bring solutions closer to the data manifold, especially on multimodal data distributions.
  • ReGuidance is the first method to offer a rigorous algorithmic guarantee for diffusion posterior sampling (DPS).

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