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.