On the Feature Learning in Diffusion Models
Andi Han, Wei Huang, Yuan Cao, Difan Zou

TL;DR
This paper investigates the feature learning processes in diffusion models, revealing they develop more balanced data representations than traditional classifiers, supported by theoretical analysis and empirical validation.
Contribution
It introduces a theoretical framework for understanding feature learning in diffusion models and compares it with classification models, highlighting their distinct learning dynamics.
Findings
Diffusion models learn more balanced and comprehensive data representations.
Classification models tend to focus on easy-to-learn data patterns.
Empirical results validate the theoretical differences in feature learning dynamics.
Abstract
The predominant success of diffusion models in generative modeling has spurred significant interest in understanding their theoretical foundations. In this work, we propose a feature learning framework aimed at analyzing and comparing the training dynamics of diffusion models with those of traditional classification models. Our theoretical analysis demonstrates that diffusion models, due to the denoising objective, are encouraged to learn more balanced and comprehensive representations of the data. In contrast, neural networks with a similar architecture trained for classification tend to prioritize learning specific patterns in the data, often focusing on easy-to-learn components. To support these theoretical insights, we conduct several experiments on both synthetic and real-world datasets, which empirically validate our findings and highlight the distinct feature learning dynamics in…
Peer Reviews
Decision·ICLR 2025 Poster
1. The theoretical findings are solid and innovative. 2. The contribution appears valuable for comprehending the internal mechanisms of diffusion models and neural networks.
1. The presentation requires enhancement. Some notations are introduced without prior definition upon their first occurrence, e.g., what does $m$ refer to in line 188? 2. The classifier considered in this manuscript lacks sufficient generality.
This work addresses a highly interesting problem: elucidating the underlying mechanisms in diffusion models that lead to their performance and transferability. The authors have done a good job in building a framework where the mechanism and learning dynamics can be analyzed both empirically and theoretically. The problem is well-motivated, and the paper is generally pleasant to read.
1) The paper’s objective is to analyze feature learning in diffusion models, which could explain their success. A detailed comparison with supervised classification is provided, however a comparison to other generative approaches such as GANs or VAEs is missing. Therefore, it is unclear if the balanced learning regime is due to DMs' specific denoising based learning, or due to a more abstract or fundamental difference between generative and discriminative approaches. 2) The paper could benefit
- The authors not only provide a theoretical analysis of the feature learning process in diffusion models but also validate their findings through experiments. This strengthens the credibility and practical relevance of the proposed framework. - A key contribution of the work is the comparison between diffusion models and classification models in terms of feature learning dynamics. The results show that diffusion models tend to learn more balanced representations of both signal and noise, which
- While the theoretical insights are valuable, the paper does not sufficiently discuss how these findings might impact practical applications of diffusion models. The focus is more on theoretical analysis, and less on how these insights could be used to improve real-world tasks like image generation, classification, or other downstream applications. - The theoretical results depend on several strict assumptions (e.g., Condition 3.1), particularly regarding the dimensionality and network initiali
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Taxonomy
TopicsNeural Networks and Applications
MethodsDiffusion
