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Divide and Conquer: Heterogeneous Noise Integration for Diffusion-based Adversarial Purification

CVPR 2025 · Adversarial robustness and security › Attacks on text and graphs · approach: Diffusion-based adversarial purification · 5 citations (OpenAlex)

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Proposes a heterogeneous diffusion-based adversarial purification method that adds high-intensity noise to classifier-attended regions and low-intensity noise elsewhere, with a two-stage denoising process and single-step resampling for adaptive attacks.

Problem

Diffusion-based adversarial purification applies uniform noise across all pixels, which either leaves adversarial perturbations intact (low noise) or destroys semantic content (high noise), causing misclassification.

Approach

Build an attention mask from the classifier's per-block activation maps to impose spatially heterogeneous noise levels in the forward process, then denoise with an inpainting-style two-stage sampler; replace multi-step resampling with a single DDIM-based resampling step to make adaptive gradient attacks tractable.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use heterogeneous noise guided by classifier attention instead of uniform noiseOurs · CIFAR-10, WideResNet-28-10, ℓ∞ (ϵ = 8/255), AutoAttackrobust accuracyHelped
use heterogeneous noise guided by classifier attention instead of uniform noiseOurs · CIFAR-10, WideResNet-70-16, ℓ2 (ϵ = 0.5), AutoAttackrobust accuracyHelped
use heterogeneous noise guided by classifier attention instead of uniform noiseOurs · ImageNet, ResNet-50, PGD+EOT ℓ∞ (ϵ = 8/255)robust accuracyHelped
use heterogeneous noise guided by classifier attention instead of uniform noiseOurs · CIFAR-10, WideResNet-28-10, BPDA+EOT ℓ∞ (ϵ = 8/255)robust accuracyHurt
remove encoder block E1 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10standard accuracy: 93.16±0.21 -> 92.77Hurt
remove encoder block E1 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10robust accuracy: 59.38±1.25 -> 58.00Hurt
remove encoder block E2 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10robust accuracy: 59.38±1.25 -> 58.00Hurt
remove encoder block E3 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10standard accuracy: 93.16±0.21 -> 93.35No clear effect
remove encoder block E3 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10robust accuracy: 59.38±1.25 -> 57.61Hurt
remove encoder block E4 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10standard accuracy: 93.16±0.21 -> 91.66Hurt
remove encoder block E4 from attention-mask construction (ablation)Ours · CIFAR-10, WideResNet-28-10robust accuracy: 59.38±1.25 -> 58.85Hurt
increase attention threshold τ, shrinking the attention mask (ablation)Ours · CIFAR-10standard accuracyHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 SVHN ImageNet

Benchmarks: CIFAR-10 SVHN ImageNet RobustBench

Metrics: standard accuracy robust accuracy

Baselines: Nie et al. (DiffPure-style) Bai et al. Lee et al. Lin et al. Geigh et al. Song et al. Yoon et al. Gowal et al. Rebuffi et al.

Builds on: DiffPure Nie et al. diffusion purification (t*) RePaint-style inpainting DDIM BPDA+EOT

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