Variance-Reduced Diffusion Sampling via Target Score Identity
arXiv:2601.01594v2 Announce Type: replace Abstract: We study variance reduction for score estimation and diffusion-based sampling in settings where the clean (target) score is available or can be approximated. Starting from the Target Score Identity (TSI), which expresses the noisy marginal score as a conditional expectation of the target score under the forward diffusion, we develop: (i) a plug-and-play nonparametric self-normalized importance sampling estimator compatible with standard reverse-time solvers, (ii) a variance-minimizing emph{state- and time-dependent} blending rule between Tweedie-type […]