Research map / Adversarial robustness and security / Certified and empirical robustness
Defense Against Adversarial Attacks on No-Reference Image Quality Models with Gradient Norm Regularization
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Proposes norm regularization training (NT) that penalizes a finite-difference approximation of the l1 norm of the input gradient to make no-reference IQA models robust to adversarial score-changing attacks.
Problem
No-reference image quality assessment (NR-IQA) models are vulnerable to imperceptible adversarial perturbations that cause large changes in predicted quality scores, and no defenses specific to NR-IQA existed.
Approach
Theoretically links the maximum score change under l-infinity-bounded attacks to the l1 norm of the input gradient, and approximates that norm via a finite-difference term along the sign of the gradient so it can be added to training loss without double backpropagation.
Key results
- NT reduces score changes under nearly all attack scenarios; e.g., DBCNN RMSE under FGSM drops from 36.758 to 24.711 (MOS vs attacked scores).
- NT causes only a slight drop on clean images (e.g., HyperIQA SROCC 0.899 to 0.859).
- Gradient l1 norm distributions shift left for all NT-trained baselines, and smaller gradient norms correlate with better robustness.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add norm regularization training | HyperIQA · LIVEC test, FGSM | RMSE between scores before and after attack: 19.174 -> 7.885 | Helped |
| Add norm regularization training | DBCNN · LIVEC test, Perceptual Attack | RMSE between scores before and after attack: 63.991 -> 14.524 | Helped |
| Add norm regularization training | MANIQA · LIVEC test, Perceptual Attack | RMSE between scores before and after attack: 0.079 -> 0.189 | Hurt |
| Add norm regularization training | HyperIQA · LIVEC test, unattacked | SROCC: 0.899 -> 0.859 | Hurt |
| Add norm regularization training | MANIQA · LIVEC test, unattacked | RMSE: 26.082 -> 23.830 | Helped |
| Set finite-difference step size h to 0.001 (ablation) | DBCNN+NT · LIVEC test, FGSM | RMSE between scores before and after attack: 19.065 -> 7.356 | Helped |
| Set finite-difference step size h to 0.001 (ablation) | DBCNN+NT · LIVEC test, unattacked | SROCC: 0.856 -> 0.788 | Hurt |
| Set finite-difference step size h to 0.1 (ablation) | DBCNN+NT · LIVEC test, FGSM | RMSE between scores before and after attack: 19.065 -> 28.785 | Hurt |
| Set finite-difference step size h to 1 (ablation) | DBCNN+NT · LIVEC test, FGSM | SROCC between scores before and after attack: 0.200 -> -0.4406 | Hurt |
| Increase gradient-norm weight λ (ablation) | NR-IQA models trained with NT · LIVEC test, unattacked | SROCC | Hurt |
| Increase gradient-norm weight λ (ablation) | NR-IQA models trained with NT · LIVEC test, FGSM | RMSE between scores before and after attack | Helped |
Surprising findings
- Models trained with NT show better SROCC robustness, though the authors note no theoretical connection between NT and SROCC.
- A very small finite-difference step size (h=0.001) gives strong defense but significantly hurts clean performance, while large h (0.1, 1) weakens robustness.
Limitations
- Theory covers score changes (RMSE-type) only, not prediction monotonicity such as SROCC.
- Robustness gains are smaller against black-box attacks and some baseline cases are exceptions (e.g., MANIQA under Perceptual Attack).
- Clean-image performance decreases slightly with NT, and larger lambda trades off more accuracy for robustness.
Experimental setup
Datasets: LIVEC
Benchmarks: LIVEC
Metrics: RMSE PLCC SROCC KROCC R robustness
Baselines: HyperIQA DBCNN LinearityIQA MANIQA adversarial training
Builds on: Perceptual Attack adversarial training finite differences
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