Exploring the Space of Adversarial Images
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Abstract (arXiv)
Adversarial examples have raised questions regarding the robustness and security of deep neural networks. In this work we formalize the problem of adversarial images given a pretrained classifier, showing that even in the linear case the resulting optimization problem is nonconvex. We generate adversarial images using shallow and deep classifiers on the MNIST and ImageNet datasets. We probe the pixel space of adversarial images using noise of varying intensity and distribution. We bring novel visualizations that showcase the phenomenon and its high variability. We show that adversarial images appear in large regions in the pixel space, but that, for the same task, a shallow classifier seems more robust to adversarial images than a deep convolutional network.
Key facts. Cited by 28 papers in the map (data through 14 Oct 2026). First posted on arXiv 19 Oct 2015.
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Citing papers per year: 2021: 11; 2022: 3; 2023: 7; 2024: 4; 2025: 2; 2026: 1.
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- 2021Advances in adversarial attacks and defenses in computer vision: A surveycited by 127
- 2021NeuronFair: Interpretable White-Box Fairness Testing through Biased Neuron Identificationcited by 42
- 2024Adversarial Attacks of Vision Tasks in the Past 10 Years: A Surveycited by 23
- 2021Universal Adversarial Perturbations Through the Lens of Deep Steganography: Towards A Fourier Perspectivecited by 18
- 2023SoK: Realistic Adversarial Attacks and Defenses for Intelligent Network Intrusion Detectioncited by 10
- 2021Domain Invariant Adversarial Learningcited by 7
- 2023Identifying Adversarially Attackable and Robust Samplescited by 5
- 2023Splitting the Difference on Adversarial Trainingcited by 5
- 2025Atmospheric Predictability Beyond 30 Days with Machine Learningcited by 5
- 2023On the Relationship Between Interpretability and Explainability in Machine Learningcited by 3
- 2024Targeted Deep Learning System Boundary Testingcited by 3
- 2021Utilizing Adversarial Targeted Attacks to Boost Adversarial Robustnesscited by 2
16 more
- 2022Evaluation of Neural Networks Defenses and Attacks using NDCG and Reciprocal Rank Metricscited by 2
- 2024Are Objective Explanatory Evaluation metrics Trustworthy? An Adversarial Analysiscited by 2
- 2021Understanding Robustness in Teacher-Student Setting: A New Perspectivecited by 1
- 2021Towards Explaining Adversarial Examples Phenomenon in Artificial Neural Networkscited by 1
- 2022Guidance Through Surrogate: Towards a Generic Diagnostic Attackcited by 1
- 2023Learning video embedding space with Natural Language Supervisioncited by 1
- 2021Improving Transformation-based Defenses against Adversarial Examples with First-order Perturbationscited by 0
- 2021Visualizing Representations of Adversarially Perturbed Inputscited by 0
- 2021Analyzing Adversarial Robustness of Deep Neural Networks in Pixel Space: a Semantic Perspectivecited by 0
- 2021Multi-concept adversarial attackscited by 0
- 2022Efficiently Finding Adversarial Examples with DNN Preprocessingcited by 0
- 2023On-Manifold Projected Gradient Descentcited by 0
- 2023F2AT: Feature-Focusing Adversarial Training via Disentanglement of Natural and Perturbed Patternscited by 0
- 2024Dynamic Gradient Influencing for Viral Marketing Using Graph Neural Networkscited by 0
- 2025The Built-In Robustness of Decentralized Federated Averaging to Bad Datacited by 0
- 2026Towards Robust Universal Perturbation Attacks: A Float-Coded, Penalty-Driven Evolutionary Approachcited by 0
- 2026Towards Robust Universal Perturbation Attacks: A Float-Coded, Penalty-Driven Evolutionary Approach18 Jan 2026
- 2025Atmospheric Predictability Beyond 30 Days with Machine Learning28 Apr 2025
- 2025The Built-In Robustness of Decentralized Federated Averaging to Bad Data25 Feb 2025
- 2024Adversarial Attacks of Vision Tasks in the Past 10 Years: A Survey31 Oct 2024
- 2024Targeted Deep Learning System Boundary Testing12 Aug 2024
- 2024Are Objective Explanatory Evaluation metrics Trustworthy? An Adversarial Analysis12 Jun 2024
- 2024Dynamic Gradient Influencing for Viral Marketing Using Graph Neural Networks19 Mar 2024
- 2023On the Relationship Between Interpretability and Explainability in Machine Learning20 Nov 2023
- 2023F2AT: Feature-Focusing Adversarial Training via Disentanglement of Natural and Perturbed Patterns23 Oct 2023
- 2023Splitting the Difference on Adversarial Training3 Oct 2023
- 2023On-Manifold Projected Gradient Descent23 Aug 2023
- 2023SoK: Realistic Adversarial Attacks and Defenses for Intelligent Network Intrusion Detection13 Aug 2023
16 more
- 2023Learning video embedding space with Natural Language Supervision25 Mar 2023
- 2023Identifying Adversarially Attackable and Robust Samples30 Jan 2023
- 2022Guidance Through Surrogate: Towards a Generic Diagnostic Attack30 Dec 2022
- 2022Efficiently Finding Adversarial Examples with DNN Preprocessing16 Nov 2022
- 2022Evaluation of Neural Networks Defenses and Attacks using NDCG and Reciprocal Rank Metrics10 Jan 2022
- 2021NeuronFair: Interpretable White-Box Fairness Testing through Biased Neuron Identification25 Dec 2021
- 2021Multi-concept adversarial attacks19 Oct 2021
- 2021Utilizing Adversarial Targeted Attacks to Boost Adversarial Robustness4 Sep 2021
- 2021Advances in adversarial attacks and defenses in computer vision: A survey1 Aug 2021
- 2021Towards Explaining Adversarial Examples Phenomenon in Artificial Neural Networks22 Jul 2021
- 2021Analyzing Adversarial Robustness of Deep Neural Networks in Pixel Space: a Semantic Perspective18 Jun 2021
- 2021Visualizing Representations of Adversarially Perturbed Inputs28 May 2021
- 2021Domain Invariant Adversarial Learning1 Apr 2021
- 2021Improving Transformation-based Defenses against Adversarial Examples with First-order Perturbations8 Mar 2021
- 2021Understanding Robustness in Teacher-Student Setting: A New Perspective25 Feb 2021
- 2021Universal Adversarial Perturbations Through the Lens of Deep Steganography: Towards A Fourier Perspective12 Feb 2021
- 2021Advances in adversarial attacks and defenses in computer vision: A surveycited by 127
- 2021NeuronFair: Interpretable White-Box Fairness Testing through Biased Neuron Identificationcited by 42
- 2021Universal Adversarial Perturbations Through the Lens of Deep Steganography: Towards A Fourier Perspectivecited by 18
- 2023SoK: Realistic Adversarial Attacks and Defenses for Intelligent Network Intrusion Detectioncited by 10
- 2021Domain Invariant Adversarial Learningcited by 7
- 2023Identifying Adversarially Attackable and Robust Samplescited by 5
- 2023Splitting the Difference on Adversarial Trainingcited by 5
- 2025Atmospheric Predictability Beyond 30 Days with Machine Learningcited by 5
- 2023On the Relationship Between Interpretability and Explainability in Machine Learningcited by 3
- 2024Targeted Deep Learning System Boundary Testingcited by 3
- 2021Utilizing Adversarial Targeted Attacks to Boost Adversarial Robustnesscited by 2
- 2022Evaluation of Neural Networks Defenses and Attacks using NDCG and Reciprocal Rank Metricscited by 2
12 most cited of 26 All 26 (JSON)
- 2026Towards Robust Universal Perturbation Attacks: A Float-Coded, Penalty-Driven Evolutionary Approach18 Jan 2026
- 2025Atmospheric Predictability Beyond 30 Days with Machine Learning28 Apr 2025
- 2025The Built-In Robustness of Decentralized Federated Averaging to Bad Data25 Feb 2025
- 2024Targeted Deep Learning System Boundary Testing12 Aug 2024
- 2024Are Objective Explanatory Evaluation metrics Trustworthy? An Adversarial Analysis12 Jun 2024
- 2024Dynamic Gradient Influencing for Viral Marketing Using Graph Neural Networks19 Mar 2024
- 2023On the Relationship Between Interpretability and Explainability in Machine Learning20 Nov 2023
- 2023F2AT: Feature-Focusing Adversarial Training via Disentanglement of Natural and Perturbed Patterns23 Oct 2023
- 2023Splitting the Difference on Adversarial Training3 Oct 2023
- 2023On-Manifold Projected Gradient Descent23 Aug 2023
- 2023SoK: Realistic Adversarial Attacks and Defenses for Intelligent Network Intrusion Detection13 Aug 2023
- 2023Learning video embedding space with Natural Language Supervision25 Mar 2023
12 newest of 26 All 26 (JSON)