Guided Path Sampling: Steering Diffusion Models Back on Track with Principled Path Guidance

Fuente: arXiv
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Autores principales: Li, Haosen, Chen, Wenshuo, Liang, Shaofeng, Wang, Lei, Jia, Haozhe, Yue, Yutao
Formato: Preprint
Publicado: 2025
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author Li, Haosen
Chen, Wenshuo
Liang, Shaofeng
Wang, Lei
Jia, Haozhe
Yue, Yutao
author_facet Li, Haosen
Chen, Wenshuo
Liang, Shaofeng
Wang, Lei
Jia, Haozhe
Yue, Yutao
contents Iterative refinement methods based on a denoising-inversion cycle are powerful tools for enhancing the quality and control of diffusion models. However, their effectiveness is critically limited when combined with standard Classifier-Free Guidance (CFG). We identify a fundamental limitation: CFG's extrapolative nature systematically pushes the sampling path off the data manifold, causing the approximation error to diverge and undermining the refinement process. To address this, we propose Guided Path Sampling (GPS), a new paradigm for iterative refinement. GPS replaces unstable extrapolation with a principled, manifold-constrained interpolation, ensuring the sampling path remains on the data manifold. We theoretically prove that this correction transforms the error series from unbounded amplification to strictly bounded, guaranteeing stability. Furthermore, we devise an optimal scheduling strategy that dynamically adjusts guidance strength, aligning semantic injection with the model's natural coarse-to-fine generation process. Extensive experiments on modern backbones like SDXL and Hunyuan-DiT show that GPS outperforms existing methods in both perceptual quality and complex prompt adherence. For instance, GPS achieves a superior ImageReward of 0.79 and HPS v2 of 0.2995 on SDXL, while improving overall semantic alignment accuracy on GenEval to 57.45%. Our work establishes that path stability is a prerequisite for effective iterative refinement, and GPS provides a robust framework to achieve it.
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id arxiv_https___arxiv_org_abs_2512_22881
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Guided Path Sampling: Steering Diffusion Models Back on Track with Principled Path Guidance
Li, Haosen
Chen, Wenshuo
Liang, Shaofeng
Wang, Lei
Jia, Haozhe
Yue, Yutao
Computer Vision and Pattern Recognition
Iterative refinement methods based on a denoising-inversion cycle are powerful tools for enhancing the quality and control of diffusion models. However, their effectiveness is critically limited when combined with standard Classifier-Free Guidance (CFG). We identify a fundamental limitation: CFG's extrapolative nature systematically pushes the sampling path off the data manifold, causing the approximation error to diverge and undermining the refinement process. To address this, we propose Guided Path Sampling (GPS), a new paradigm for iterative refinement. GPS replaces unstable extrapolation with a principled, manifold-constrained interpolation, ensuring the sampling path remains on the data manifold. We theoretically prove that this correction transforms the error series from unbounded amplification to strictly bounded, guaranteeing stability. Furthermore, we devise an optimal scheduling strategy that dynamically adjusts guidance strength, aligning semantic injection with the model's natural coarse-to-fine generation process. Extensive experiments on modern backbones like SDXL and Hunyuan-DiT show that GPS outperforms existing methods in both perceptual quality and complex prompt adherence. For instance, GPS achieves a superior ImageReward of 0.79 and HPS v2 of 0.2995 on SDXL, while improving overall semantic alignment accuracy on GenEval to 57.45%. Our work establishes that path stability is a prerequisite for effective iterative refinement, and GPS provides a robust framework to achieve it.
title Guided Path Sampling: Steering Diffusion Models Back on Track with Principled Path Guidance
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2512.22881