Efficient Certified Defenses Against Patch Attacks on Image Classifiers
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Abstract (arXiv)
Adversarial patches pose a realistic threat model for physical world attacks on autonomous systems via their perception component. Autonomous systems in safety-critical domains such as automated driving should thus contain a fail-safe fallback component that combines certifiable robustness against patches with efficient inference while maintaining high performance on clean inputs. We propose BagCert, a novel combination of model architecture and certification procedure that allows efficient certification. We derive a loss that enables end-to-end optimization of certified robustness against patches of different sizes and locations. On CIFAR10, BagCert certifies 10.000 examples in 43 seconds on a single GPU and obtains 86% clean and 60% certified accuracy against 5x5 patches.
Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). Builds on 31 of its 42 references that are in the map. First posted on arXiv 8 Feb 2021.
Builds on
31 of 42 references.
References · 31
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014ImageNet Large Scale Visual Recognition Challengecited by 8,441
- 2015Batch Normalization: Accelerating Deep Network Training by Reducing Internal Covariate Shiftcited by 6,979
- 2016Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localizationcited by 6,690
- 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,326
- 2016SGDR: Stochastic Gradient Descent with Warm Restartscited by 4,993
- 2019CutMix: Regularization Strategy to Train Strong Classifiers with Localizable Featurescited by 2,875
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
- 2019Certified Adversarial Robustness via Randomized Smoothingcited by 1,324
- 2018Obfuscated Gradients Give a False Sense of Security: Circumventing Defenses to Adversarial Examplescited by 1,259
- 2017Provable defenses against adversarial examples via the convex outer adversarial polytopecited by 564
- 2017Adversarial Patchcited by 514
19 more
- 2018Certified Robustness to Adversarial Examples with Differential Privacycited by 462
- 2019Fooling automated surveillance cameras: adversarial patches to attack person detectioncited by 268
- 2016Safety Verification of Deep Neural Networkscited by 262
- 2019Approximating CNNs with Bag-of-local-Features models works surprisingly well on ImageNetcited by 260
- 2018Adversarial Risk and the Dangers of Evaluating Against Weak Attackscited by 221
- 2018Certified Adversarial Robustness with Additive Noisecited by 178
- 2018DPatch: An Adversarial Patch Attack on Object Detectorscited by 146
- 2018Scaling provable adversarial defensescited by 141
- 2019Improving Robustness Without Sacrificing Accuracy with Patch Gaussian Augmentationcited by 105
- 2020Certified Defenses for Adversarial Patchescited by 100
- 2020(De)Randomized Smoothing for Certifiable Defense against Patch Attackscited by 97
- 2019On Physical Adversarial Patches for Object Detectioncited by 93
- 2017Shake-Shake regularizationcited by 87
- 2018Local Gradients Smoothing: Defense against localized adversarial attackscited by 85
- 2019Defending Against Physically Realizable Attacks on Image Classificationcited by 66
- 2020Sparse-RS: a versatile framework for query-efficient sparse black-box adversarial attackscited by 65
- 2019Attacking Optical Flowcited by 41
- 2017Evaluating Robustness of Neural Networks with Mixed Integer Programmingcited by 14
- 2020PatchGuard: A Provably Robust Defense against Adversarial Patches via Small Receptive Fields and Maskingcited by 13
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Citing papers per year: 2021: 5; 2022: 6; 2023: 6; 2024: 3; 2025: 3.
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- 2021BadEncoder: Backdoor Attacks to Pre-trained Encoders in Self-Supervised Learningcited by 120
- 2021PatchCleanser: Certifiably Robust Defense against Adversarial Patches for Any Image Classifiercited by 63
- 2021Certified Patch Robustness via Smoothed Vision Transformerscited by 44
- 2022Towards Practical Certifiable Patch Defense with Vision Transformercited by 44
- 2021PatchGuard++: Efficient Provable Attack Detection against Adversarial Patchescited by 29
- 2022ObjectSeeker: Certifiably Robust Object Detection against Patch Hiding Attacks via Patch-agnostic Maskingcited by 22
- 2022Adversarial Patch Attacks and Defences in Vision-Based Tasks: A Surveycited by 17
- 2022Certified Defences Against Adversarial Patch Attacks on Semantic Segmentationcited by 15
- 2021PatchCensor: Patch Robustness Certification for Transformers via Exhaustive Testingcited by 11
- 2022Visual Adversarial Attacks and Defenses in the Physical World: A Surveycited by 11
- 2023PatchCURE: Improving Certifiable Robustness, Model Utility, and Computation Efficiency of Adversarial Patch Defensescited by 10
- 2023Adversarial Examples in the Physical World: A Surveycited by 10
11 more
- 2022Defending Person Detection Against Adversarial Patch Attack by using Universal Defensive Framecited by 9
- 2023Revisiting Image Classifier Training for Improved Certified Robust Defense against Adversarial Patchescited by 5
- 2024Backdoor Attack on Unpaired Medical Image-Text Foundation Models: A Pilot Study on MedCLIPcited by 5
- 2023Agnostic Multi-Robust Learning Using ERMcited by 2
- 2025CertMask: Certifiable Defense Against Adversarial Patches via Theoretically Optimal Mask Coveragecited by 2
- 2023Architecture-agnostic Iterative Black-box Certified Defense against Adversarial Patchescited by 1
- 2023A Majority Invariant Approach to Patch Robustness Certification for Deep Learning Modelscited by 1
- 2024CrossCert: A Cross-Checking Detection Approach to Patch Robustness Certification for Deep Learning Modelscited by 1
- 2025PatchDEMUX: A Certifiably Robust Framework for Multi-label Classifiers Against Adversarial Patchescited by 1
- 2024Redesigning Traffic Signs to Mitigate Machine-Learning Patch Attackscited by 0
- 2025Scalable and Precise Patch Robustness Certification for Deep Learning Models with Top-k Predictionscited by 0
- 2025CertMask: Certifiable Defense Against Adversarial Patches via Theoretically Optimal Mask Coverage13 Nov 2025
- 2025Scalable and Precise Patch Robustness Certification for Deep Learning Models with Top-k Predictions31 Jul 2025
- 2025PatchDEMUX: A Certifiably Robust Framework for Multi-label Classifiers Against Adversarial Patches30 May 2025
- 2024CrossCert: A Cross-Checking Detection Approach to Patch Robustness Certification for Deep Learning Models13 May 2024
- 2024Redesigning Traffic Signs to Mitigate Machine-Learning Patch Attacks7 Feb 2024
- 2024Backdoor Attack on Unpaired Medical Image-Text Foundation Models: A Pilot Study on MedCLIP1 Jan 2024
- 2023Adversarial Examples in the Physical World: A Survey1 Nov 2023
- 2023PatchCURE: Improving Certifiable Robustness, Model Utility, and Computation Efficiency of Adversarial Patch Defenses19 Oct 2023
- 2023A Majority Invariant Approach to Patch Robustness Certification for Deep Learning Models1 Aug 2023
- 2023Revisiting Image Classifier Training for Improved Certified Robust Defense against Adversarial Patches22 Jun 2023
- 2023Architecture-agnostic Iterative Black-box Certified Defense against Adversarial Patches18 May 2023
- 2023Agnostic Multi-Robust Learning Using ERM15 Mar 2023
11 more
- 2022Visual Adversarial Attacks and Defenses in the Physical World: A Survey3 Nov 2022
- 2022Certified Defences Against Adversarial Patch Attacks on Semantic Segmentation13 Sep 2022
- 2022Adversarial Patch Attacks and Defences in Vision-Based Tasks: A Survey16 Jun 2022
- 2022Defending Person Detection Against Adversarial Patch Attack by using Universal Defensive Frame27 Apr 2022
- 2022Towards Practical Certifiable Patch Defense with Vision Transformer16 Mar 2022
- 2022ObjectSeeker: Certifiably Robust Object Detection against Patch Hiding Attacks via Patch-agnostic Masking3 Feb 2022
- 2021PatchCensor: Patch Robustness Certification for Transformers via Exhaustive Testing19 Nov 2021
- 2021Certified Patch Robustness via Smoothed Vision Transformers11 Oct 2021
- 2021PatchCleanser: Certifiably Robust Defense against Adversarial Patches for Any Image Classifier20 Aug 2021
- 2021BadEncoder: Backdoor Attacks to Pre-trained Encoders in Self-Supervised Learning1 Aug 2021
- 2021PatchGuard++: Efficient Provable Attack Detection against Adversarial Patches26 Apr 2021
- 2021PatchCleanser: Certifiably Robust Defense against Adversarial Patches for Any Image Classifiercited by 63
- 2021Certified Patch Robustness via Smoothed Vision Transformerscited by 44
- 2022Towards Practical Certifiable Patch Defense with Vision Transformercited by 44
- 2021PatchGuard++: Efficient Provable Attack Detection against Adversarial Patchescited by 29
- 2022ObjectSeeker: Certifiably Robust Object Detection against Patch Hiding Attacks via Patch-agnostic Maskingcited by 22
- 2022Adversarial Patch Attacks and Defences in Vision-Based Tasks: A Surveycited by 17
- 2022Certified Defences Against Adversarial Patch Attacks on Semantic Segmentationcited by 15
- 2021PatchCensor: Patch Robustness Certification for Transformers via Exhaustive Testingcited by 11
- 2022Visual Adversarial Attacks and Defenses in the Physical World: A Surveycited by 11
- 2023PatchCURE: Improving Certifiable Robustness, Model Utility, and Computation Efficiency of Adversarial Patch Defensescited by 10
- 2023Adversarial Examples in the Physical World: A Surveycited by 10
- 2022Defending Person Detection Against Adversarial Patch Attack by using Universal Defensive Framecited by 9
12 most cited of 21 All 21 (JSON)
- 2025CertMask: Certifiable Defense Against Adversarial Patches via Theoretically Optimal Mask Coverage13 Nov 2025
- 2025Scalable and Precise Patch Robustness Certification for Deep Learning Models with Top-k Predictions31 Jul 2025
- 2025PatchDEMUX: A Certifiably Robust Framework for Multi-label Classifiers Against Adversarial Patches30 May 2025
- 2024CrossCert: A Cross-Checking Detection Approach to Patch Robustness Certification for Deep Learning Models13 May 2024
- 2024Redesigning Traffic Signs to Mitigate Machine-Learning Patch Attacks7 Feb 2024
- 2023Adversarial Examples in the Physical World: A Survey1 Nov 2023
- 2023PatchCURE: Improving Certifiable Robustness, Model Utility, and Computation Efficiency of Adversarial Patch Defenses19 Oct 2023
- 2023A Majority Invariant Approach to Patch Robustness Certification for Deep Learning Models1 Aug 2023
- 2023Revisiting Image Classifier Training for Improved Certified Robust Defense against Adversarial Patches22 Jun 2023
- 2023Architecture-agnostic Iterative Black-box Certified Defense against Adversarial Patches18 May 2023
- 2023Agnostic Multi-Robust Learning Using ERM15 Mar 2023
- 2022Visual Adversarial Attacks and Defenses in the Physical World: A Survey3 Nov 2022
12 newest of 21 All 21 (JSON)