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Paper · arXiv

Equal Path Cost, Unequal Output Effects: Understanding Perturbation Propagation in Diffusion Models

Diffusion models have achieved remarkable success in generative modeling, with their sampling procedures routinely modified to control generation and improve efficiency. These modifications introduce perturbations along the sampling trajectory, raising a central question: how do such perturbations affect generated output? To address this question, we develop a theoretical framework to investigate perturbation propagation, combining dynamical analysis of the sampling process with an information-theoretic characterization of output responses. Within this framework, we quantify perturbation strength using the Kullback--Leibler (KL) divergence between perturbed and reference trajectory distri...

AuthorsWei Guo, Yaowen Zhang, Xingtong Ge et al.
Primary categorycs.AI
Published8 October 2026
Last updated at source8 October 2026
cs.AI
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