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Diffusion Models as Dataset Distillation Priors

Duo Su, Huyu Wu, Huanran Chen, Yiming Shi, Yuzhu Wang, Xi Ye, Jun Zhu

TL;DR

This work identifies representativeness as a missing piece in diffusion-model-based dataset distillation and answers how to leverage diffusion priors more effectively. It introduces Diffusion As Priors (DAP), a training-free framework that injects a kernel-based representativeness prior into the diffusion sampling process while preserving the intrinsic diversity and generalization priors of diffusion models. By defining a kernel-induced distance in feature space and guiding sampling with an energy-based representativeness term, DAP achieves state-of-the-art performance on ImageNet-1K and its subsets across DiT and Stable Diffusion backbones, with strong cross-architecture transfer and robustness to domain shifts. The approach offers a practical, modular, training-free pathway to higher-fidelity distilled datasets and builds a theoretical bridge between diffusion priors and dataset distillation objectives, with guidance for kernel choices and feature-layer selection.

Abstract

Dataset distillation aims to synthesize compact yet informative datasets from large ones. A significant challenge in this field is achieving a trifecta of diversity, generalization, and representativeness in a single distilled dataset. Although recent generative dataset distillation methods adopt powerful diffusion models as their foundation models, the inherent representativeness prior in diffusion models is overlooked. Consequently, these approaches often necessitate the integration of external constraints to enhance data quality. To address this, we propose Diffusion As Priors (DAP), which formalizes representativeness by quantifying the similarity between synthetic and real data in feature space using a Mercer kernel. We then introduce this prior as guidance to steer the reverse diffusion process, enhancing the representativeness of distilled samples without any retraining. Extensive experiments on large-scale datasets, such as ImageNet-1K and its subsets, demonstrate that DAP outperforms state-of-the-art methods in generating high-fidelity datasets while achieving superior cross-architecture generalization. Our work not only establishes a theoretical connection between diffusion priors and the objectives of dataset distillation but also provides a practical, training-free framework for improving the quality of the distilled dataset.

Diffusion Models as Dataset Distillation Priors

TL;DR

This work identifies representativeness as a missing piece in diffusion-model-based dataset distillation and answers how to leverage diffusion priors more effectively. It introduces Diffusion As Priors (DAP), a training-free framework that injects a kernel-based representativeness prior into the diffusion sampling process while preserving the intrinsic diversity and generalization priors of diffusion models. By defining a kernel-induced distance in feature space and guiding sampling with an energy-based representativeness term, DAP achieves state-of-the-art performance on ImageNet-1K and its subsets across DiT and Stable Diffusion backbones, with strong cross-architecture transfer and robustness to domain shifts. The approach offers a practical, modular, training-free pathway to higher-fidelity distilled datasets and builds a theoretical bridge between diffusion priors and dataset distillation objectives, with guidance for kernel choices and feature-layer selection.

Abstract

Dataset distillation aims to synthesize compact yet informative datasets from large ones. A significant challenge in this field is achieving a trifecta of diversity, generalization, and representativeness in a single distilled dataset. Although recent generative dataset distillation methods adopt powerful diffusion models as their foundation models, the inherent representativeness prior in diffusion models is overlooked. Consequently, these approaches often necessitate the integration of external constraints to enhance data quality. To address this, we propose Diffusion As Priors (DAP), which formalizes representativeness by quantifying the similarity between synthetic and real data in feature space using a Mercer kernel. We then introduce this prior as guidance to steer the reverse diffusion process, enhancing the representativeness of distilled samples without any retraining. Extensive experiments on large-scale datasets, such as ImageNet-1K and its subsets, demonstrate that DAP outperforms state-of-the-art methods in generating high-fidelity datasets while achieving superior cross-architecture generalization. Our work not only establishes a theoretical connection between diffusion priors and the objectives of dataset distillation but also provides a practical, training-free framework for improving the quality of the distilled dataset.
Paper Structure (46 sections, 4 theorems, 19 equations, 10 figures, 10 tables, 2 algorithms)

This paper contains 46 sections, 4 theorems, 19 equations, 10 figures, 10 tables, 2 algorithms.

Key Result

Theorem 3.1

Let $\mathcal{K}: \mathcal{X} \times \mathcal{X} \to \mathbb{R}$ be a PSD kernel. Then the $\mathcal{K}$-induced distance measure satisfies:

Figures (10)

  • Figure 1: Our diffusion as priors (DAP) method is beneficial for the DD task. Diversity: $1+\text{FID}_{max}-\text{FID}$. Representativeness: $\frac{1}{d(\phi(x),\phi(y))}$. Performance: classification results on ImageNet-1K.
  • Figure 2: Visualization of average representativeness ($\propto\frac{1}{d(\textcolor{colorC}{\phi}(x),\textcolor{colorC}{\phi}(y))}$) of distilled samples (IPC10). As $\gamma$ increases, the representativeness (sector area) gets larger, yielding better DD performance.
  • Figure 3: The comparison results on Stable Diffusion. The results are evaluated with both hard-label (HL) and soft-label (SL) protocols based on ResNet-18. The results of SL protocol are marked with a light blue background, while those without background color are from HL protocol.
  • Figure 4: Visualization results of t-SNE. We compare the feature distribution of real (training and test set) versus synthetic data under IPC50. Dark/Light points: Synthetic/Real samples.
  • Figure 5: Ablation studies under ResNet-18. (a-b) Top-1 Accuracy under different backbone layer selection. (c-d) Top-1 Accuracy under varied guidance scale $\gamma$.
  • ...and 5 more figures

Theorems & Definitions (8)

  • Theorem 3.1
  • proof
  • Theorem 3.2
  • proof
  • Theorem A.1
  • proof
  • Theorem A.2
  • proof