Research map / Adversarial robustness and security / Black-box and transfer attacks
Anchoring Adversarial Trajectories to Data Manifolds: A Bilevel Transfer Optimization Framework
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Proposes MABT, which anchors adversarial perturbation trajectories to the data manifold via a relaxed manifold-anchoring projector (e.g., resizing) and a Hessian-free distributional bilevel optimization over surrogate variants, improving transfer attack success across CNNs, ensembles, and ViTs.
Problem
Transfer-based adversarial attacks overfit surrogate-specific artifacts because iterative ambient-space gradients drift off the natural-image data manifold, weakening transferability to black-box victims.
Approach
A relaxed manifold-anchoring projector (MAP) is applied before surrogate evaluation to suppress off-manifold components, and the attack initialization is learned by a distributional bilevel optimization minimizing expected transfer risk over Gaussian-perturbed surrogate variants, solved with a Hessian-free gap-function gradient estimator.
Key results
- MABT raises overall average ASR from 22.52% to 39.28% (74.4% relative gain) over baseline attackers on ResNet-50 surrogate.
- With GAA, MABT increases average ASR from 33.26% (BETAK) to 49.33% on the CNN victim suite, a 48.32% relative improvement.
- Resize MAP alone roughly doubles PGD ASR (15.24% to 28.59% average untargeted on ResNet-50) with negligible overhead.
Surprising findings
- A simple resize operation as the manifold-anchoring projector yields most of the gain, with heavier diffusion-based purifiers adding only about 4-5 points at higher latency.
- DnCNN denoising MAP gives a weaker gain (21.28% avg for PGD) than resizing, suggesting learned denoising priors are less effective here.
Limitations
- Evaluation limited to image classification; dense prediction tasks not studied.
- Theoretical convergence result assumes smooth composite setting, while practical MAP instances are non-smooth and use surrogate-gradient approximations.
- Upper-level risk relies on a Gaussian approximation of surrogate uncertainty rather than the true victim distribution.
Experimental setup
Datasets: ImageNet
Benchmarks: ImageNet
Metrics: attack success rate (ASR) feature shift (1-cos)
Baselines: PGD MI VMI GAA SI DI TI GHOST MBA AWT BETAK
Builds on: PGD MI-FGSM BETAK MBA AWT
Closest papers by meaning
- AnchorRep: Defending LLMs Against Cross-Model Adversarial Transfer via Representation Repulsion (NeurIPS 2026 · similarity 0.87)
- Manifold Constraints for Imperceptible Adversarial Attacks on Point Clouds (AAAI 2024 · similarity 0.85)
- Enhancing Adversarial Transferability with Adversarial Weight Tuning (AAAI 2025 · similarity 0.84)
- LRS: Enhancing Adversarial Transferability through Lipschitz Regularized Surrogate (AAAI 2024 · similarity 0.84)
- Transferability Bound Theory: Exploring Relationship between Adversarial Transferability and Flatness (NeurIPS 2024 · similarity 0.84)
- PubDef: Defending Against Transfer Attacks From Public Models (ICLR 2024 · similarity 0.83)
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