Defending against Whitebox Adversarial Attacks via Randomized Discretization
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Abstract (arXiv)
Adversarial perturbations dramatically decrease the accuracy of state-of-the-art image classifiers. In this paper, we propose and analyze a simple and computationally efficient defense strategy: inject random Gaussian noise, discretize each pixel, and then feed the result into any pre-trained classifier. Theoretically, we show that our randomized discretization strategy reduces the KL divergence between original and adversarial inputs, leading to a lower bound on the classification accuracy of any classifier against any (potentially whitebox) ℓ_∞-bounded adversarial attack. Empirically, we evaluate our defense on adversarial examples generated by a strong iterative PGD attack. On ImageNet, our defense is more robust than adversarially-trained networks and the winning defenses of the NIPS 2017 Adversarial Attacks & Defenses competition.
Key facts. Cited by 29 papers in the map (data through 7 Oct 2026). First posted on arXiv 25 Mar 2019.
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Citing papers per year: 2021: 8; 2022: 5; 2023: 9; 2024: 5; 2025: 1; 2026: 1.
29 papers.
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- 2024Exploring the Adversarial Vulnerabilities of Vision-Language-Action Models in Roboticscited by 68
- 2022Physical Attack on Monocular Depth Estimation with Optimal Adversarial Patchescited by 57
- 2023TPatch: A Triggered Physical Adversarial Patchcited by 22
- 2021Universal Spectral Adversarial Attacks for Deformable Shapescited by 14
- 2022Demystifying the Adversarial Robustness of Random Transformation Defensescited by 14
- 2021Learning Diverse-Structured Networks for Adversarial Robustnesscited by 12
- 2023AdvART: Adversarial Art for Camouflaged Object Detection Attackscited by 12
- 2023SAAM: Stealthy Adversarial Attack on Monocular Depth Estimationcited by 12
- 2023APARATE: Adaptive Adversarial Patch for CNN-based Monocular Depth Estimation for Autonomous Navigationcited by 10
- 2023Outlier Robust Adversarial Trainingcited by 10
- 2023Reliable learning in challenging environmentscited by 9
- 2021The art of defense: letting networks fool the attackercited by 6
17 more
- 2021Selection of Source Images Heavily Influences the Effectiveness of Adversarial Attackscited by 6
- 2021Improving the Robustness of Adversarial Attacks Using an Affine-Invariant Gradient Estimatorcited by 6
- 2022Rethinking Textual Adversarial Defense for Pre-trained Language Modelscited by 5
- 2024ControlLoc: Physical-World Hijacking Attack on Visual Perception in Autonomous Drivingcited by 5
- 2023Improving Adversarial Transferability with Scheduled Step Size and Dual Examplecited by 3
- 2024SlowPerception: Physical-World Latency Attack against Visual Perception in Autonomous Drivingcited by 3
- 2023Runtime Stealthy Perception Attacks against DNN-based Adaptive Cruise Control Systemscited by 1
- 2024A Novel Perturb-ability Score to Mitigate Evasion Adversarial Attacks on Flow-Based ML-NIDScited by 1
- 2021Constant Random Perturbations Provide Adversarial Robustness with Minimal Effect on Accuracycited by 0
- 2021MixDefense: A Defense-in-Depth Framework for Adversarial Example Detection Based on Statistical and Semantic Analysiscited by 0
- 2021On Procedural Adversarial Noise Attack And Defensecited by 0
- 2022Pixel to Binary Embedding Towards Robustness for CNNscited by 0
- 2022Scoring Black-Box Models for Adversarial Robustnesscited by 0
- 2023Adversarial Defenses via Vector Quantizationcited by 0
- 2024Physical Adversarial Attack on Monocular Depth Estimation via Shape-Varying Patchescited by 0
- 2025T2I-Based Physical-World Appearance Attack against Traffic Sign Recognition Systems in Autonomous Drivingcited by 0
- 2026A Classifier-Agnostic Zero-Shot Adversarial Attack Detection via CLIPcited by 0
- 2026A Classifier-Agnostic Zero-Shot Adversarial Attack Detection via CLIP29 Jun 2026
- 2025T2I-Based Physical-World Appearance Attack against Traffic Sign Recognition Systems in Autonomous Driving17 Nov 2025
- 2024Exploring the Adversarial Vulnerabilities of Vision-Language-Action Models in Robotics18 Nov 2024
- 2024A Novel Perturb-ability Score to Mitigate Evasion Adversarial Attacks on Flow-Based ML-NIDS11 Sep 2024
- 2024Physical Adversarial Attack on Monocular Depth Estimation via Shape-Varying Patches24 Jul 2024
- 2024ControlLoc: Physical-World Hijacking Attack on Visual Perception in Autonomous Driving9 Jun 2024
- 2024SlowPerception: Physical-World Latency Attack against Visual Perception in Autonomous Driving9 Jun 2024
- 2023TPatch: A Triggered Physical Adversarial Patch30 Dec 2023
- 2023Outlier Robust Adversarial Training10 Sep 2023
- 2023SAAM: Stealthy Adversarial Attack on Monocular Depth Estimation6 Aug 2023
- 2023Runtime Stealthy Perception Attacks against DNN-based Adaptive Cruise Control Systems18 Jul 2023
- 2023Adversarial Defenses via Vector Quantization23 May 2023
17 more
- 2023Reliable learning in challenging environments6 Apr 2023
- 2023AdvART: Adversarial Art for Camouflaged Object Detection Attacks3 Mar 2023
- 2023APARATE: Adaptive Adversarial Patch for CNN-based Monocular Depth Estimation for Autonomous Navigation2 Mar 2023
- 2023Improving Adversarial Transferability with Scheduled Step Size and Dual Example30 Jan 2023
- 2022Scoring Black-Box Models for Adversarial Robustness31 Oct 2022
- 2022Rethinking Textual Adversarial Defense for Pre-trained Language Models21 Jul 2022
- 2022Physical Attack on Monocular Depth Estimation with Optimal Adversarial Patches11 Jul 2022
- 2022Demystifying the Adversarial Robustness of Random Transformation Defenses18 Jun 2022
- 2022Pixel to Binary Embedding Towards Robustness for CNNs13 Jun 2022
- 2021Improving the Robustness of Adversarial Attacks Using an Affine-Invariant Gradient Estimator13 Sep 2021
- 2021On Procedural Adversarial Noise Attack And Defense10 Aug 2021
- 2021Selection of Source Images Heavily Influences the Effectiveness of Adversarial Attacks14 Jun 2021
- 2021MixDefense: A Defense-in-Depth Framework for Adversarial Example Detection Based on Statistical and Semantic Analysis20 Apr 2021
- 2021Universal Spectral Adversarial Attacks for Deformable Shapes7 Apr 2021
- 2021The art of defense: letting networks fool the attacker7 Apr 2021
- 2021Constant Random Perturbations Provide Adversarial Robustness with Minimal Effect on Accuracy15 Mar 2021
- 2021Learning Diverse-Structured Networks for Adversarial Robustness3 Feb 2021
- 2022Physical Attack on Monocular Depth Estimation with Optimal Adversarial Patchescited by 57
- 2023TPatch: A Triggered Physical Adversarial Patchcited by 22
- 2021Universal Spectral Adversarial Attacks for Deformable Shapescited by 14
- 2022Demystifying the Adversarial Robustness of Random Transformation Defensescited by 14
- 2021Learning Diverse-Structured Networks for Adversarial Robustnesscited by 12
- 2023AdvART: Adversarial Art for Camouflaged Object Detection Attackscited by 12
- 2023SAAM: Stealthy Adversarial Attack on Monocular Depth Estimationcited by 12
- 2023APARATE: Adaptive Adversarial Patch for CNN-based Monocular Depth Estimation for Autonomous Navigationcited by 10
- 2023Outlier Robust Adversarial Trainingcited by 10
- 2023Reliable learning in challenging environmentscited by 9
- 2021The art of defense: letting networks fool the attackercited by 6
- 2021Selection of Source Images Heavily Influences the Effectiveness of Adversarial Attackscited by 6
12 most cited of 28 All 28 (JSON)
- 2026A Classifier-Agnostic Zero-Shot Adversarial Attack Detection via CLIP29 Jun 2026
- 2025T2I-Based Physical-World Appearance Attack against Traffic Sign Recognition Systems in Autonomous Driving17 Nov 2025
- 2024A Novel Perturb-ability Score to Mitigate Evasion Adversarial Attacks on Flow-Based ML-NIDS11 Sep 2024
- 2024Physical Adversarial Attack on Monocular Depth Estimation via Shape-Varying Patches24 Jul 2024
- 2024ControlLoc: Physical-World Hijacking Attack on Visual Perception in Autonomous Driving9 Jun 2024
- 2024SlowPerception: Physical-World Latency Attack against Visual Perception in Autonomous Driving9 Jun 2024
- 2023TPatch: A Triggered Physical Adversarial Patch30 Dec 2023
- 2023Outlier Robust Adversarial Training10 Sep 2023
- 2023SAAM: Stealthy Adversarial Attack on Monocular Depth Estimation6 Aug 2023
- 2023Runtime Stealthy Perception Attacks against DNN-based Adaptive Cruise Control Systems18 Jul 2023
- 2023Adversarial Defenses via Vector Quantization23 May 2023
- 2023Reliable learning in challenging environments6 Apr 2023
12 newest of 28 All 28 (JSON)