Finding Optimal Tangent Points for Reducing Distortions of Hard-label Attacks
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Abstract (arXiv)
One major problem in black-box adversarial attacks is the high query complexity in the hard-label attack setting, where only the top-1 predicted label is available. In this paper, we propose a novel geometric-based approach called Tangent Attack (TA), which identifies an optimal tangent point of a virtual hemisphere located on the decision boundary to reduce the distortion of the attack. Assuming the decision boundary is locally flat, we theoretically prove that the minimum ℓ2 distortion can be obtained by reaching the decision boundary along the tangent line passing through such tangent point in each iteration. To improve the robustness of our method, we further propose a generalized method which replaces the hemisphere with a semi-ellipsoid to adapt to curved decision boundaries. Our approach is free of pre-training. Extensive experiments conducted on the ImageNet and CIFAR-10 datasets demonstrate that our approach can consume only a small number of queries to achieve the low-magnitude distortion. The implementation source code is released online at https://github.com/machanic/TangentAttack.
Key facts. Cited by 11 papers in the map (data through 7 Oct 2026). Builds on 37 of its 51 references that are in the map. First posted on arXiv 15 Nov 2021.
Builds on
37 of 51 references.
References · 37
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25 more
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Built on by
Citing papers per year: 2023: 4; 2024: 2; 2025: 4; 2026: 1.
11 papers.
- 2024Fight Back Against Jailbreaking via Prompt Adversarial Tuningcited by 63
- 2023CGBA: Curvature-aware Geometric Black-box Attackcited by 20
- 2023A Survey of Robustness and Safety of 2D and 3D Deep Learning Models Against Adversarial Attackscited by 19
- 2023Survey on Adversarial Attack and Defense for Medical Image Analysis: Methods and Challengescited by 16
- 2024Spectral regularization for adversarially-robust representation learningcited by 2
- 2025GSBAK: top-K Geometric Score-based Black-box Attackcited by 2
- 2025Accelerating Targeted Hard-Label Adversarial Attacks in Low-Query Black-Box Settingscited by 1
- 2025Boosting Ray Search Procedure of Hard-label Attacks with Transfer-based Priorscited by 1
- 2023DTA: Distribution Transform-based Attack for Query-Limited Scenariocited by 0
- 2025Improving the Convergence Rate of Ray Search Optimization for Query-Efficient Hard-Label Attackscited by 0
- 2026Low-Cost Hard-Label Adversarial Attack with Theoretical Foundationscited by 0
- 2026Low-Cost Hard-Label Adversarial Attack with Theoretical Foundations17 Jan 2026
- 2025Improving the Convergence Rate of Ray Search Optimization for Query-Efficient Hard-Label Attacks24 Dec 2025
- 2025Boosting Ray Search Procedure of Hard-label Attacks with Transfer-based Priors23 Jul 2025
- 2025Accelerating Targeted Hard-Label Adversarial Attacks in Low-Query Black-Box Settings22 May 2025
- 2025GSBAK: top-K Geometric Score-based Black-box Attack17 Mar 2025
- 2024Spectral regularization for adversarially-robust representation learning27 May 2024
- 2024Fight Back Against Jailbreaking via Prompt Adversarial Tuning9 Feb 2024
- 2023DTA: Distribution Transform-based Attack for Query-Limited Scenario12 Dec 2023
- 2023A Survey of Robustness and Safety of 2D and 3D Deep Learning Models Against Adversarial Attacks1 Oct 2023
- 2023CGBA: Curvature-aware Geometric Black-box Attack6 Aug 2023
- 2023Survey on Adversarial Attack and Defense for Medical Image Analysis: Methods and Challenges24 Mar 2023