most citedBreaking the Curse of Dimensionality: Diffusion Models Efficiently Learn Low-Dimensional Distributions

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5 papers

cs.LG20261 cited

Breaking the Curse of Dimensionality: Diffusion Models Efficiently Learn Low-Dimensional Distributions

Peng Wang, Huijie Zhang, Zekai Zhang +3

Despite their empirical success across a wide range of generative tasks, the fundamental principles underlying the ability of diffusion models to learn data distributions are poorl…

cs.LG2026

Generalization of Diffusion Models Arises with a Balanced Representation Space

Zekai Zhang, Xiao Li, Xiang Li +4

Diffusion models excel at generating high-quality, diverse samples, yet they risk memorizing training data when overfit to the training objective. We analyze the distinctions betwe…

cs.LG2026

Understanding Generalization in Diffusion Distillation via Probability Flow Distance

Huijie Zhang, Zijian Huang, Siyi Chen +4

Diffusion distillation provides an effective approach for learning lightweight and few-steps diffusion models with efficient generation. However, evaluating their generalization re…

cs.LG2026

Understanding Representation Dynamics of Diffusion Models via Low-Dimensional Modeling

Xiao Li, Zekai Zhang, Xiang Li +4

Diffusion models, though originally designed for generative tasks, have demonstrated impressive self-supervised representation learning capabilities. A particularly intriguing phen…

cs.LG2025

A Closer Look at Model Collapse: From a Generalization-to-Memorization Perspective

Lianghe Shi, Meng Wu, Huijie Zhang +3

The widespread use of diffusion models has led to an abundance of AI-generated data, raising concerns about model collapse -- a phenomenon in which recursive iterations of training…