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Gregory D. Bellchambers

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#machine learning Preprint Oct 2026

Noise, Denoise, Correct: MCMC Posterior Sampling with Diffusion Priors in Three Steps

Pretrained diffusion models are powerful priors for inverse problems, but posterior sampling under nonlinear, non-differentiable forward models remain hard. We introduce diffusion waltz, an MCMC method using SDEdit-style noising-denoising as a proposal, corrected via Metropolis-Hastings for exact posterior sampling wit...

So Takao, Gregory D. Bellchambers, Lu-Ke Ye et al. · 0 citations
#machine learning Preprint Oct 2026

Direct Intermediate Initialization for Tilted Diffusion Samplers

Some diffusion posterior samplers construct Gaussian-tilted intermediate distributions along the reverse process. We observe that these targets can be pulled back to clean-space posteriors with weaker conditioning, with samples transported analytically to the corresponding noisy-space target through a Gaussian bridge....

Gregory D. Bellchambers · 0 citations

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