Structured confidence perturbation adversarial training based on Fisher geometry
Structured Confidence Perturbation via Fisher Geometry for Adversarial Training
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To address "pseudo-attacks" in adversarial training that push up loss without changing the confidence structure, researchers propose a mixed objective of cross-entropy and KL divergence, and generate perturbations on the confidence manifold that maximize distributional distance. Theoretical analysis shows that the optimal perturbation direction is consistent with the principal eigenvector of the Fisher information matrix. Experiments on multiple datasets and model architectures show that the method's adversarial robustness and robust transferability outperform existing methods, and it is especially good at structured perturbations within high-confidence regions.
- Adversarial training is often plagued by "pseudo-attacks": perturbations raise the loss value without genuinely changing the model's confidence structure, leaving geometric-level fragility.
- Two complementary methods are proposed: SPP jointly maximizes CE and KL divergence during attack generation; SCP models the perturbation as maximizing a distributional distance on the confidence manifold, perturbs along the direction of the principal eigenvector of the Fisher information matrix, and uses a K×K small-matrix decomposition to avoid high-dimensional computation.
- On CIFAR-10/100, the authors report that SCP's robust accuracy and ASR outperform baselines such as PGD and TRADES (e.g., AA 72.50% and ASR 12.90% on CIFAR-10/ResNet-50); on Tiny-ImageNet, SPP is overall better; on ViT-B/16, all methods degrade.
- The authors state that on Tiny-ImageNet, 200 classes increase the variance of FIM estimation and underfitting breaks the manifold assumption, causing SCP to be weaker than SPP; on ViT, large gradient variance makes local geometric estimation unreliable. The experiments cover only 3 image classification datasets and 6 architectures, and do not report the number of repetitions or variance.
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