SURE Guided Posterior Sampling: Trajectory Correction for Diffusion-Based Inverse Problems

Fuente: arXiv
Enregistré dans:
Détails bibliographiques
Auteurs principaux: Kim, Minwoo, Lim, Hongki
Format: Preprint
Publié: 2025
Sujets:
Accès en ligne:
Tags: Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
_version_ 1866908737090879488
author Kim, Minwoo
Lim, Hongki
author_facet Kim, Minwoo
Lim, Hongki
contents Diffusion models have emerged as powerful learned priors for solving inverse problems. However, current iterative solving approaches which alternate between diffusion sampling and data consistency steps typically require hundreds or thousands of steps to achieve high quality reconstruction due to accumulated errors. We address this challenge with SURE Guided Posterior Sampling (SGPS), a method that corrects sampling trajectory deviations using Stein's Unbiased Risk Estimate (SURE) gradient updates and PCA based noise estimation. By mitigating noise induced errors during the critical early and middle sampling stages, SGPS enables more accurate posterior sampling and reduces error accumulation. This allows our method to maintain high reconstruction quality with fewer than 100 Neural Function Evaluations (NFEs). Our extensive evaluation across diverse inverse problems demonstrates that SGPS consistently outperforms existing methods at low NFE counts.
format Preprint
id arxiv_https___arxiv_org_abs_2512_23232
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle SURE Guided Posterior Sampling: Trajectory Correction for Diffusion-Based Inverse Problems
Kim, Minwoo
Lim, Hongki
Computer Vision and Pattern Recognition
Diffusion models have emerged as powerful learned priors for solving inverse problems. However, current iterative solving approaches which alternate between diffusion sampling and data consistency steps typically require hundreds or thousands of steps to achieve high quality reconstruction due to accumulated errors. We address this challenge with SURE Guided Posterior Sampling (SGPS), a method that corrects sampling trajectory deviations using Stein's Unbiased Risk Estimate (SURE) gradient updates and PCA based noise estimation. By mitigating noise induced errors during the critical early and middle sampling stages, SGPS enables more accurate posterior sampling and reduces error accumulation. This allows our method to maintain high reconstruction quality with fewer than 100 Neural Function Evaluations (NFEs). Our extensive evaluation across diverse inverse problems demonstrates that SGPS consistently outperforms existing methods at low NFE counts.
title SURE Guided Posterior Sampling: Trajectory Correction for Diffusion-Based Inverse Problems
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2512.23232