On the Collapse Errors Induced by the Deterministic Sampler for Diffusion Models

Fuente: arXiv
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Autori principali: Zhang, Yi, Liao, Zhenyu, Wu, Jingfeng, Zou, Difan
Natura: Preprint
Pubblicazione: 2025
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author Zhang, Yi
Liao, Zhenyu
Wu, Jingfeng
Zou, Difan
author_facet Zhang, Yi
Liao, Zhenyu
Wu, Jingfeng
Zou, Difan
contents Despite the widespread adoption of deterministic samplers in diffusion models (DMs), their potential limitations remain largely unexplored. In this paper, we identify collapse errors, a previously unrecognized phenomenon in ODE-based diffusion sampling, where the sampled data is overly concentrated in local data space. To quantify this effect, we introduce a novel metric and demonstrate that collapse errors occur across a variety of settings. When investigating its underlying causes, we observe a see-saw effect, where score learning in low noise regimes adversely impacts the one in high noise regimes. This misfitting in high noise regimes, coupled with the dynamics of deterministic samplers, ultimately causes collapse errors. Guided by these insights, we apply existing techniques from sampling, training, and architecture to empirically support our explanation of collapse errors. This work provides intensive empirical evidence of collapse errors in ODE-based diffusion sampling, emphasizing the need for further research into the interplay between score learning and deterministic sampling, an overlooked yet fundamental aspect of diffusion models.
format Preprint
id arxiv_https___arxiv_org_abs_2508_16154
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Collapse Errors Induced by the Deterministic Sampler for Diffusion Models
Zhang, Yi
Liao, Zhenyu
Wu, Jingfeng
Zou, Difan
Machine Learning
Artificial Intelligence
Despite the widespread adoption of deterministic samplers in diffusion models (DMs), their potential limitations remain largely unexplored. In this paper, we identify collapse errors, a previously unrecognized phenomenon in ODE-based diffusion sampling, where the sampled data is overly concentrated in local data space. To quantify this effect, we introduce a novel metric and demonstrate that collapse errors occur across a variety of settings. When investigating its underlying causes, we observe a see-saw effect, where score learning in low noise regimes adversely impacts the one in high noise regimes. This misfitting in high noise regimes, coupled with the dynamics of deterministic samplers, ultimately causes collapse errors. Guided by these insights, we apply existing techniques from sampling, training, and architecture to empirically support our explanation of collapse errors. This work provides intensive empirical evidence of collapse errors in ODE-based diffusion sampling, emphasizing the need for further research into the interplay between score learning and deterministic sampling, an overlooked yet fundamental aspect of diffusion models.
title On the Collapse Errors Induced by the Deterministic Sampler for Diffusion Models
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2508.16154