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Solving Inverse Problems via Diffusion-Based Priors: An Approximation-Free Ensemble Sampling Approach

  • Diffusion models (DMs) are widely used for representing complex priors in Bayesian inverse problems (BIPs).
  • A new ensemble-based algorithm has been proposed to perform posterior sampling for BIPs without using heuristic approximations.
  • The algorithm combines DM-based methods with the sequential Monte Carlo (SMC) method.
  • Theoretical analysis shows that the proposed algorithm provides more accurate reconstructions in inverse problems in imaging compared to existing DM-based methods.

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