Metropolis-Adjusted Diffusion Models
Sampling from score-based diffusion models incurs bias due to both time discretisation and the approximation of the score function. A common strategy for reducing this bias is to apply corrector steps based on the unadjusted Langevin algorithm (ULA) at each noise level within a predictor-corrector framework. However, ULA is itself a biased sampler, as it discretises a continuous diffusion process. In this work, we consider adjusted Langevin correctors that employ Metropolis--Hastings (MH) or Barker's accept-reject steps to correct for this bias. Since the target density ratio typically required by MH-based algorithms is unavailable, we propose methods that instead utilise the score functi...
| Authors | Kevin H. Lam, Tyler Farghly, Christopher Williams et al. |
|---|---|
| Primary category | stat.ML |
| Published | 10 May 2026 |
| Last updated at source | 10 May 2026 |
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