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On the Feature Learning in Diffusion Models

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arxiv 2412.01021 v2 pith:VXNMXVBP submitted 2024-12-02 stat.ML cs.LG

classification stat.MLcs.LG
keywords modelsdiffusionlearningclassificationfeaturetheoreticaldatadynamics
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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 diffusion models compared to classification.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Physics-Informed Distillation of Diffusion Models for PDE-Constrained Generation

    cs.LG 2025-05 conditional novelty 6.0 of 10

    Post-hoc distillation with a PDE-residual loss on final samples avoids the Jensen gap and yields one-step physics-constrained generation.

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