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Consistency Purification: Effective and Efficient Diffusion Purification towards Certified Robustness
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Proposes Consistency Purification, using a distilled consistency model as a one-step diffusion purifier for randomized smoothing, further refined by LPIPS-based Consistency Fine-tuning, achieving higher certified accuracy than one-step DDPM purification on CIFAR-10 and ImageNet-64.
Problem
Diffusion purification for certified robustness via randomized smoothing faces a trade-off: one-step DDPM purification is efficient but yields off-manifold purified images, while multi-step methods (PF-ODE, DensePure, etc.) are costly.
Approach
Use a consistency model distilled from a pretrained EDM/PF-ODE as a one-step purifier that maps noisy inputs to on-manifold clean images, then fine-tune it with an LPIPS loss on noise levels used in randomized smoothing to improve semantic alignment with the original image.
Key results
- On CIFAR-10, Consistency Purification with Consistency Fine-tuning reaches 79.4% certified accuracy at epsilon=0.25 versus 73.6% for onestep-DDPM, with a single network evaluation.
- On ImageNet-64, Consistency Fine-tuning raises certified accuracy at epsilon=0.0 from 53.0% (onestep-DDPM) to 69.0%.
- Consistency Fine-tuning with LPIPS loss outperforms l1 and l2 losses in certified accuracy on CIFAR-10 (79.4 vs 76.4 and 77.0 at epsilon=0.25).
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| replace onestep-DDPM purification with Consistency Purification | ViT-B/16 smoothed classifier · CIFAR-10 | certified accuracy at ε=0.25: 73.6 -> 77.2 | Helped |
| replace onestep-DDPM purification with Consistency Purification | ViT-B/16 smoothed classifier · ImageNet-64 | certified accuracy at ε=0.0: 53.0 -> 61.0 | Helped |
| add Consistency Fine-tuning with LPIPS loss | Consistency Purification with ViT-B/16 · CIFAR-10 | certified accuracy at ε=0.5: 59.8 -> 62.4 | Helped |
| add Consistency Fine-tuning | Consistency Purification with ViT-B/16 · ImageNet-64 | certified accuracy at ε=0.0: 61.0 -> 69.0 | Helped |
| use ℓ1 loss instead of LPIPS for fine-tuning (ablation) | Consistency Purification · CIFAR-10 | certified accuracy at ε=1.0: 35.4 -> 31.4 | Hurt |
| use ℓ2 loss instead of LPIPS for fine-tuning (ablation) | Consistency Purification · CIFAR-10 | certified accuracy at ε=0.25: 79.4 -> 77.0 | Hurt |
| sample fine-tuning noise levels continuously from [0,1] instead of {0.25, 0.5, 1.0} (ablation) | Consistency Purification · CIFAR-10 | certified accuracy at ε=0.25: 79.4 -> 76.2 | Hurt |
| add diffusion-model fine-tuning to classifier fine-tuning (ablation) | Consistency Purification · CIFAR-10 | certified accuracy at ε=0.5: 63.4 -> 64.8 | Helped |
| fine-tune the diffusion model instead of using no fine-tuning (ablation) | Consistency Purification · CIFAR-10 | certified accuracy at ε=0.5: 59.8 -> 62.4 | Helped |
Surprising findings
- Consistency Purification with one step is competitive with multi-step PF-ODE EDM on CIFAR-10 at small radii (90.4 vs 89.6 at epsilon=0.0).
Limitations
- Not evaluated on high-resolution images such as ImageNet 256x256 due to lack of public consistency checkpoints.
- Only 500 CIFAR-10 and 100 ImageNet-64 test images used for evaluation.
- Compute for ImageNet 256 consistency training is beyond available resources.
Experimental setup
Datasets: CIFAR-10 ImageNet-64
Benchmarks: CIFAR-10 ImageNet-64
Metrics: certified accuracy at l2 radius epsilon FID
Baselines: onestep-DDPM onestep-EDM PF-ODE EDM Diffusion Calibration
Builds on: randomized smoothing consistency models DDPM PF-ODE Diffusion Denoised Smoothing
Closest papers by meaning
- Truncated Consistency Models (ICLR 2025 · similarity 0.89)
- SCott: Accelerating Diffusion Models with Stochastic Consistency Distillation (AAAI 2025 · similarity 0.88)
- Consistency Diffusion Bridge Models (NeurIPS 2024 · similarity 0.88)
- High-Fidelity Diffusion-Based Image Editing (AAAI 2024 · similarity 0.88)
- Robust Representation Consistency Model via Contrastive Denoising (ICLR 2025 · similarity 0.88)
- Towards Understanding the Robustness of Diffusion-Based Purification: A Stochastic Perspective (ICLR 2025 · similarity 0.87)
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