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A Dual Stealthy Backdoor: From Both Spatial and Frequency Perspectives

AAAI 2024 · Adversarial robustness and security › Backdoor and poisoning · approach: Trigger-based backdoor attacks

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Proposes DUBA, a dual-domain stealthy backdoor attack that embeds high-frequency trigger content via DWT and then smooths it with FFT amplitude swapping and double DCT fusion, using a weak-train/strong-attack trigger strategy.

Problem

Existing backdoor attacks hide triggers only in the spatial domain, so poisoned images remain detectable by frequency-domain defenses and Fourier-based pipelines.

Approach

Embed high-frequency trigger information via DWT into a clean image, then smooth it in both the frequency domain (swap FFT amplitude spectrum with the clean image, then fuse via two DCTs) so the trigger is invisible in both spatial and frequency domains; train with weak triggers and attack with strong triggers.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DUBA instead of the strongest baselineResNet18 · Cifar10ASR (%): 99.97 -> 99.98Helped
Use DUBA instead of the strongest baselineResNet18 · GtsrbASR (%): 99.62 -> 99.92Helped
Use DUBA instead of the strongest baselineRepVGG · ImageNetASR (%): 99.89 -> 99.02Hurt
Increase the training embedding ratios from 0.2 to 0.4 while attacking at 0.6 (ablation)DUBA · Cifar10ASR (%): 87.92 -> 99.98Helped
Increase attack embedding ratios from 0.6 to 0.8 with training at 0.4 (ablation)DUBA · Cifar10ASR (%): 99.98 -> 99.99Helped
Increase training embedding ratios from 0.4 to 0.6 with attack ratios fixed at 0.6 (ablation)DUBA · Cifar10ASR (%): 99.98 -> 99.22Hurt
Increase DCT smoothing parameter λ (ablation)DUBA · Cifar10ASR (%): 20 -> 52.36 -> 70.11 -> 95.42 -> 99.98 -> 99.98Helped
Replace the dog's-ear initial trigger with another tested image (ablation)DUBA · Cifar10ASR (%): 99.98; 99.23; 99.57; 99.62No clear effect
Remove FFT and DCT smoothing, using DWT only (ablation)DUBA · Cifar10frequency-domain stealthinessHurt
Remove DCT smoothing, using DWT and FFT only (ablation)DUBA · Cifar10spatial-domain stealthinessHurt
Remove DCT smoothing, using DWT and FFT only (ablation)DUBA · Cifar10FTD detection probability: about 65%Hurt
Add DCT smoothing after DWT and FFT smoothing (ablation)DUBA · Cifar10spatial- and frequency-domain stealthinessHelped

Surprising findings

Limitations

Experimental setup

Datasets: CIFAR-10 GTSRB ImageNet FER2013

Benchmarks: CIFAR-10 GTSRB ImageNet subset FER2013

Metrics: attack success rate benign accuracy PSNR SSIM LPIPS anomaly index entropy detection rate

Baselines: BadNets Blend WaNet FIBA

Builds on: BadNets WaNet FIBA FTD

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