On the Effectiveness of Small Input Noise for Defending Against Query-based Black-Box Attacks
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Abstract (arXiv)
While deep neural networks show unprecedented performance in various tasks, the vulnerability to adversarial examples hinders their deployment in safety-critical systems. Many studies have shown that attacks are also possible even in a black-box setting where an adversary cannot access the target model's internal information. Most black-box attacks are based on queries, each of which obtains the target model's output for an input, and many recent studies focus on reducing the number of required queries. In this paper, we pay attention to an implicit assumption of query-based black-box adversarial attacks that the target model's output exactly corresponds to the query input. If some randomness is introduced into the model, it can break the assumption, and thus, query-based attacks may have tremendous difficulty in both gradient estimation and local search, which are the core of their attack process. From this motivation, we observe even a small additive input noise can neutralize most query-based attacks and name this simple yet effective approach Small Noise Defense (SND). We analyze how SND can defend against query-based black-box attacks and demonstrate its effectiveness against eight state-of-the-art attacks with CIFAR-10 and ImageNet datasets. Even with strong defense ability, SND almost maintains the original classification accuracy and computational speed. SND is readily applicable to pre-trained models by adding only one line of code at the inference.
Key facts. Cited by 17 papers in the map (data through 14 Oct 2026). Builds on 32 of its 43 references that are in the map. First posted on arXiv 13 Jan 2021.
Builds on
32 of 43 references.
References · 32
- 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
- 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,415
- 2013Intriguing properties of neural networkscited by 5,155
- 2016Identity Mappings in Deep Residual Networkscited by 1,965
- 2019Certified Adversarial Robustness via Randomized Smoothingcited by 1,340
- 2018Obfuscated Gradients Give a False Sense of Security: Circumventing Defenses to Adversarial Examplescited by 1,268
- 2016Practical Black-Box Attacks against Machine Learningcited by 903
- 2018Robustness May Be at Odds with Accuracycited by 880
- 2017Ensemble Adversarial Training: Attacks and Defensescited by 840
- 2017Evasion Attacks against Machine Learning at Test Timecited by 689
- 2017ZOO: Zeroth Order Optimization based Black-box Attacks to Deep Neural Networks without Training Substitute Modelscited by 666
- 2017Decision-Based Adversarial Attacks: Reliable Attacks Against Black-Box Machine Learning Modelscited by 462
20 more
- 2019On Evaluating Adversarial Robustnesscited by 447
- 2017Mitigating Adversarial Effects Through Randomizationcited by 383
- 2019HopSkipJumpAttack: A Query-Efficient Decision-Based Attackcited by 333
- 2019Simple Black-box Adversarial Attackscited by 251
- 2018Adversarial Robustness Toolbox v1.0.0cited by 215
- 2018Certified Adversarial Robustness with Additive Noisecited by 180
- 2017Towards Robust Neural Networks via Random Self-ensemblecited by 159
- 2014Towards Deep Neural Network Architectures Robust to Adversarial Examplescited by 146
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- 2018Query-Efficient Hard-label Black-box Attack:An Optimization-based Approachcited by 130
- 2018Parametric Noise Injection: Trainable Randomness to Improve Deep Neural Network Robustness against Adversarial Attackcited by 125
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- 2018Low Frequency Adversarial Perturbationcited by 80
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- 2019Stateful Detection of Black-Box Adversarial Attackscited by 56
- 2019A Survey of Black-Box Adversarial Attacks on Computer Vision Modelscited by 37
- 2019Subspace Attack: Exploiting Promising Subspaces for Query-Efficient Black-box Attackscited by 35
- 2019Theoretical evidence for adversarial robustness through randomizationcited by 33
- 2020Orthogonal Deep Models As Defense Against Black-Box Attackscited by 7
- 2019Smoothed Inference for Adversarially-Trained Modelscited by 1
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Citing papers per year: 2022: 4; 2023: 6; 2024: 3; 2025: 3; 2026: 1.
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- 2023Defenses in Adversarial Machine Learning: A Surveycited by 14
- 2023Improving the Robustness of Transformer-based Large Language Models with Dynamic Attentioncited by 10
- 2025Improving LLM Unlearning Robustness via Random Perturbationscited by 9
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- 2023The Adaptive Arms Race: Redefining Robustness in AI Securitycited by 5
- 2023Understanding the Robustness of Randomized Feature Defense Against Query-Based Adversarial Attackscited by 4
- 2025Merge Now, Regret Later: The Hidden Cost of Model Merging Is Adversarial Transferabilitycited by 2
- 2022Unifying Gradients to Improve Real-world Robustness for Deep Networkscited by 1
- 2022Guidance Through Surrogate: Towards a Generic Diagnostic Attackcited by 1
- 2023Exploring Non-additive Randomness on ViT against Query-Based Black-Box Attackscited by 1
- 2024A Training Rate and Survival Heuristic for Inference and Robustness Evaluation (TRASHFIRE)cited by 1
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- 2025How stealthy is stealthy? Studying the Efficacy of Black-Box Adversarial Attacks in the Real Worldcited by 1
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- 2024Addressing Key Challenges of Adversarial Attacks and Defenses in the Tabular Domain: A Methodological Framework for Coherence and Consistencycited by 0
- 2026Dashed Line Defense: Plug-And-Play Defense Against Adaptive Score-Based Query Attackscited by 0
- 2026Dashed Line Defense: Plug-And-Play Defense Against Adaptive Score-Based Query Attacks9 Feb 2026
- 2025Merge Now, Regret Later: The Hidden Cost of Model Merging Is Adversarial Transferability28 Sep 2025
- 2025How stealthy is stealthy? Studying the Efficacy of Black-Box Adversarial Attacks in the Real World3 Jun 2025
- 2025Improving LLM Unlearning Robustness via Random Perturbations31 Jan 2025
- 2024Addressing Key Challenges of Adversarial Attacks and Defenses in the Tabular Domain: A Methodological Framework for Coherence and Consistency10 Dec 2024
- 2024Counter-Samples: A Stateless Strategy to Neutralize Black Box Adversarial Attacks14 Mar 2024
- 2024A Training Rate and Survival Heuristic for Inference and Robustness Evaluation (TRASHFIRE)24 Jan 2024
- 2023The Adaptive Arms Race: Redefining Robustness in AI Security20 Dec 2023
- 2023Defenses in Adversarial Machine Learning: A Survey13 Dec 2023
- 2023Improving the Robustness of Transformer-based Large Language Models with Dynamic Attention29 Nov 2023
- 2023Understanding the Robustness of Randomized Feature Defense Against Query-Based Adversarial Attacks1 Oct 2023
- 2023Exploring Non-additive Randomness on ViT against Query-Based Black-Box Attacks12 Sep 2023
5 more
- 2023SEA: Shareable and Explainable Attribution for Query-based Black-box Attacks23 Aug 2023
- 2022Guidance Through Surrogate: Towards a Generic Diagnostic Attack30 Dec 2022
- 2022Deepfake Text Detection: Limitations and Opportunities17 Oct 2022
- 2022Robust Prototypical Few-Shot Organ Segmentation with Regularized Neural-ODEs26 Aug 2022
- 2022Unifying Gradients to Improve Real-world Robustness for Deep Networks12 Aug 2022
- 2025Improving LLM Unlearning Robustness via Random Perturbations31 Jan 2025
- 2022Deepfake Text Detection: Limitations and Opportunitiescited by 37
- 2023Defenses in Adversarial Machine Learning: A Surveycited by 14
- 2023Improving the Robustness of Transformer-based Large Language Models with Dynamic Attentioncited by 10
- 2022Robust Prototypical Few-Shot Organ Segmentation with Regularized Neural-ODEscited by 5
- 2023The Adaptive Arms Race: Redefining Robustness in AI Securitycited by 5
- 2023Understanding the Robustness of Randomized Feature Defense Against Query-Based Adversarial Attackscited by 4
- 2025Merge Now, Regret Later: The Hidden Cost of Model Merging Is Adversarial Transferabilitycited by 2
- 2022Unifying Gradients to Improve Real-world Robustness for Deep Networkscited by 1
- 2022Guidance Through Surrogate: Towards a Generic Diagnostic Attackcited by 1
- 2023Exploring Non-additive Randomness on ViT against Query-Based Black-Box Attackscited by 1
- 2024A Training Rate and Survival Heuristic for Inference and Robustness Evaluation (TRASHFIRE)cited by 1
- 2025How stealthy is stealthy? Studying the Efficacy of Black-Box Adversarial Attacks in the Real Worldcited by 1
12 most cited of 16 All 16 (JSON)
- 2026Dashed Line Defense: Plug-And-Play Defense Against Adaptive Score-Based Query Attacks9 Feb 2026
- 2025Merge Now, Regret Later: The Hidden Cost of Model Merging Is Adversarial Transferability28 Sep 2025
- 2025How stealthy is stealthy? Studying the Efficacy of Black-Box Adversarial Attacks in the Real World3 Jun 2025
- 2024Addressing Key Challenges of Adversarial Attacks and Defenses in the Tabular Domain: A Methodological Framework for Coherence and Consistency10 Dec 2024
- 2024Counter-Samples: A Stateless Strategy to Neutralize Black Box Adversarial Attacks14 Mar 2024
- 2024A Training Rate and Survival Heuristic for Inference and Robustness Evaluation (TRASHFIRE)24 Jan 2024
- 2023The Adaptive Arms Race: Redefining Robustness in AI Security20 Dec 2023
- 2023Defenses in Adversarial Machine Learning: A Survey13 Dec 2023
- 2023Improving the Robustness of Transformer-based Large Language Models with Dynamic Attention29 Nov 2023
- 2023Understanding the Robustness of Randomized Feature Defense Against Query-Based Adversarial Attacks1 Oct 2023
- 2023Exploring Non-additive Randomness on ViT against Query-Based Black-Box Attacks12 Sep 2023
- 2023SEA: Shareable and Explainable Attribution for Query-based Black-box Attacks23 Aug 2023
12 newest of 16 All 16 (JSON)