Stabilizing Diffusion Posterior Sampling by Noise--Frequency Continuation

Fuente: arXiv
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Autori principali: Tian, Feng, Li, Yixuan, Zeng, Weili, Zhang, Weitian, Yan, Yichao, Yang, Xiaokang
Natura: Preprint
Pubblicazione: 2026
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author Tian, Feng
Li, Yixuan
Zeng, Weili
Zhang, Weitian
Yan, Yichao
Yang, Xiaokang
author_facet Tian, Feng
Li, Yixuan
Zeng, Weili
Zhang, Weitian
Yan, Yichao
Yang, Xiaokang
contents Diffusion posterior sampling solves inverse problems by combining a pretrained diffusion prior with measurement-consistency guidance, but it often fails to recover fine details because measurement terms are applied in a manner that is weakly coupled to the diffusion noise level. At high noise, data-consistency gradients computed from inaccurate estimates can be geometrically incongruent with the posterior geometry, inducing early-step drift, spurious high-frequency artifacts, plus sensitivity to schedules and ill-conditioned operators. To address these concerns, we propose a noise--frequency Continuation framework that constructs a continuous family of intermediate posteriors whose likelihood enforces measurement consistency only within a noise-dependent frequency band. This principle is instantiated with a stabilized posterior sampler that combines a diffusion predictor, band-limited likelihood guidance, and a multi-resolution consistency strategy that aggressively commits reliable coarse corrections while conservatively adopting high-frequency details only when they become identifiable. Across super-resolution, inpainting, and deblurring, our method achieves state-of-the-art performance and improves motion deblurring PSNR by up to 5 dB over strong baselines.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00176
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Stabilizing Diffusion Posterior Sampling by Noise--Frequency Continuation
Tian, Feng
Li, Yixuan
Zeng, Weili
Zhang, Weitian
Yan, Yichao
Yang, Xiaokang
Computer Vision and Pattern Recognition
Artificial Intelligence
Diffusion posterior sampling solves inverse problems by combining a pretrained diffusion prior with measurement-consistency guidance, but it often fails to recover fine details because measurement terms are applied in a manner that is weakly coupled to the diffusion noise level. At high noise, data-consistency gradients computed from inaccurate estimates can be geometrically incongruent with the posterior geometry, inducing early-step drift, spurious high-frequency artifacts, plus sensitivity to schedules and ill-conditioned operators. To address these concerns, we propose a noise--frequency Continuation framework that constructs a continuous family of intermediate posteriors whose likelihood enforces measurement consistency only within a noise-dependent frequency band. This principle is instantiated with a stabilized posterior sampler that combines a diffusion predictor, band-limited likelihood guidance, and a multi-resolution consistency strategy that aggressively commits reliable coarse corrections while conservatively adopting high-frequency details only when they become identifiable. Across super-resolution, inpainting, and deblurring, our method achieves state-of-the-art performance and improves motion deblurring PSNR by up to 5 dB over strong baselines.
title Stabilizing Diffusion Posterior Sampling by Noise--Frequency Continuation
topic Computer Vision and Pattern Recognition
Artificial Intelligence
url https://arxiv.org/abs/2602.00176