Deep Defense: Training DNNs with Improved Adversarial Robustness
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Abstract (arXiv)
Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating imperceptibly perturbed image inputs (a.k.a., adversarial examples) to fool well-trained DNN classifiers into making arbitrary predictions. To address this problem, we propose a training recipe named "deep defense". Our core idea is to integrate an adversarial perturbation-based regularizer into the classification objective, such that the obtained models learn to resist potential attacks, directly and precisely. The whole optimization problem is solved just like training a recursive network. Experimental results demonstrate that our method outperforms training with adversarial/Parseval regularizations by large margins on various datasets (including MNIST, CIFAR-10 and ImageNet) and different DNN architectures. Code and models for reproducing our results are available at https://github.com/ZiangYan/deepdefense.pytorch
Key facts. Cited by 41 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 Feb 2018.
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Citing papers per year: 2021: 19; 2022: 10; 2023: 3; 2024: 1; 2025: 5; 2026: 3.
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- 2021On the Convergence and Robustness of Adversarial Trainingcited by 127
- 2021A Comprehensive Evaluation Framework for Deep Model Robustnesscited by 41
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 32
- 2021Deep Learning-Based Autonomous Driving Systems: A Survey of Attacks and Defensescited by 29
- 2021Revisiting Hilbert-Schmidt Information Bottleneck for Adversarial Robustnesscited by 20
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularizationcited by 19
- 2022Pruning Adversarially Robust Neural Networks without Adversarial Examplescited by 12
- 2021Resilient Machine Learning for Networked Cyber Physical Systems: A Survey for Machine Learning Security to Securing Machine Learning for CPScited by 10
- 2021AdvFilter: Predictive Perturbation-aware Filtering against Adversarial Attack via Multi-domain Learningcited by 9
- 2021NoiLIn: Improving Adversarial Training and Correcting Stereotype of Noisy Labelscited by 8
- 2022A.I. Robustness: a Human-Centered Perspective on Technological Challenges and Opportunitiescited by 8
- 2021Perceptually Constrained Adversarial Attackscited by 7
29 more
- 2021Recent Advances in Large Margin Learningcited by 7
- 2021Selection of Source Images Heavily Influences the Effectiveness of Adversarial Attackscited by 6
- 2021Explaining Adversarial Vulnerability with a Data Sparsity Hypothesiscited by 4
- 2024SafeLight: Enhancing Security in Optical Convolutional Neural Network Acceleratorscited by 4
- 2021Adversarial Training for Gradient Descent: Analysis Through its Continuous-time Approximationcited by 3
- 2021Adaptive Feature Alignment for Adversarial Trainingcited by 3
- 2021Clustering Effect of (Linearized) Adversarial Robust Modelscited by 3
- 2022An Eye for an Eye: Defending against Gradient-based Attacks with Gradientscited by 2
- 2022Adversarial Attack and Defense for Non-Parametric Two-Sample Testscited by 2
- 2022Deadwooding: Robust Global Pruning for Deep Neural Networkscited by 2
- 2022SkeleVision: Towards Adversarial Resiliency of Person Tracking with Multi-Task Learningcited by 2
- 2023RNAS-CL: Robust Neural Architecture Search by Cross-Layer Knowledge Distillationcited by 2
- 2021Robust Upper Bounds for Adversarial Trainingcited by 1
- 2022Two Heads are Better than One: Robust Learning Meets Multi-branch Modelscited by 1
- 2025Provably Safeguarding a Classifier from OOD and Adversarial Samples: an Extreme Value Theory Approachcited by 1
- 2025A Survey of Adversarial Defenses in Vision-based Systems: Categorization, Methods and Challengescited by 1
- 2025Adversarial Examples in Environment Perception for Automated Driving (Review)cited by 1
- 2021Improving Transformation-based Defenses against Adversarial Examples with First-order Perturbationscited 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
- 2021Holistic Deep Learningcited by 0
- 2022An Effective Fusion Method to Enhance the Robustness of CNNcited by 0
- 2022Stable and Efficient Adversarial Training through Local Linearizationcited by 0
- 2023Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Onescited by 0
- 2025Boosting Illuminant Estimation in Deep Color Constancy through Enhancing Brightness Robustnesscited by 0
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Eracited by 0
- 2026PatchBlock: A Lightweight Defense Against Adversarial Patches for Embedded EdgeAI Devicescited by 0
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbationscited by 0
- 2026Theory of Continual Learning Against Data Poisoning Attackscited by 0
- 2026Theory of Continual Learning Against Data Poisoning Attacks29 Jun 2026
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbations7 Feb 2026
- 2026PatchBlock: A Lightweight Defense Against Adversarial Patches for Embedded EdgeAI Devices1 Jan 2026
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Era4 Nov 2025
- 2025Adversarial Examples in Environment Perception for Automated Driving (Review)11 Apr 2025
- 2025A Survey of Adversarial Defenses in Vision-based Systems: Categorization, Methods and Challenges1 Mar 2025
- 2025Boosting Illuminant Estimation in Deep Color Constancy through Enhancing Brightness Robustness18 Feb 2025
- 2025Provably Safeguarding a Classifier from OOD and Adversarial Samples: an Extreme Value Theory Approach17 Jan 2025
- 2024SafeLight: Enhancing Security in Optical Convolutional Neural Network Accelerators22 Nov 2024
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularization29 Sep 2023
- 2023Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Ones25 May 2023
- 2023RNAS-CL: Robust Neural Architecture Search by Cross-Layer Knowledge Distillation19 Jan 2023
29 more
- 2022A.I. Robustness: a Human-Centered Perspective on Technological Challenges and Opportunities17 Oct 2022
- 2022Stable and Efficient Adversarial Training through Local Linearization11 Oct 2022
- 2022Pruning Adversarially Robust Neural Networks without Adversarial Examples9 Oct 2022
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizability16 Sep 2022
- 2022Two Heads are Better than One: Robust Learning Meets Multi-branch Models17 Aug 2022
- 2022An Effective Fusion Method to Enhance the Robustness of CNN31 May 2022
- 2022SkeleVision: Towards Adversarial Resiliency of Person Tracking with Multi-Task Learning2 Apr 2022
- 2022Deadwooding: Robust Global Pruning for Deep Neural Networks10 Feb 2022
- 2022Adversarial Attack and Defense for Non-Parametric Two-Sample Tests7 Feb 2022
- 2022An Eye for an Eye: Defending against Gradient-based Attacks with Gradients2 Feb 2022
- 2021Robust Upper Bounds for Adversarial Training17 Dec 2021
- 2021On the Convergence and Robustness of Adversarial Training15 Dec 2021
- 2021Clustering Effect of (Linearized) Adversarial Robust Models25 Nov 2021
- 2021Holistic Deep Learning29 Oct 2021
- 2021On Procedural Adversarial Noise Attack And Defense10 Aug 2021
- 2021AdvFilter: Predictive Perturbation-aware Filtering against Adversarial Attack via Multi-domain Learning14 Jul 2021
- 2021Selection of Source Images Heavily Influences the Effectiveness of Adversarial Attacks14 Jun 2021
- 2021Revisiting Hilbert-Schmidt Information Bottleneck for Adversarial Robustness4 Jun 2021
- 2021Adaptive Feature Alignment for Adversarial Training31 May 2021
- 2021NoiLIn: Improving Adversarial Training and Correcting Stereotype of Noisy Labels31 May 2021
- 2021Adversarial Training for Gradient Descent: Analysis Through its Continuous-time Approximation17 May 2021
- 2021MixDefense: A Defense-in-Depth Framework for Adversarial Example Detection Based on Statistical and Semantic Analysis20 Apr 2021
- 2021Deep Learning-Based Autonomous Driving Systems: A Survey of Attacks and Defenses5 Apr 2021
- 2021Recent Advances in Large Margin Learning25 Mar 2021
- 2021Improving Transformation-based Defenses against Adversarial Examples with First-order Perturbations8 Mar 2021
- 2021Explaining Adversarial Vulnerability with a Data Sparsity Hypothesis1 Mar 2021
- 2021Resilient Machine Learning for Networked Cyber Physical Systems: A Survey for Machine Learning Security to Securing Machine Learning for CPS14 Feb 2021
- 2021Perceptually Constrained Adversarial Attacks14 Feb 2021
- 2021A Comprehensive Evaluation Framework for Deep Model Robustness24 Jan 2021
- 2026Theory of Continual Learning Against Data Poisoning Attacks29 Jun 2026
- 2021On the Convergence and Robustness of Adversarial Trainingcited by 127
- 2021A Comprehensive Evaluation Framework for Deep Model Robustnesscited by 41
- 2022Trustworthy Reinforcement Learning Against Intrinsic Vulnerabilities: Robustness, Safety, and Generalizabilitycited by 32
- 2021Deep Learning-Based Autonomous Driving Systems: A Survey of Attacks and Defensescited by 29
- 2021Revisiting Hilbert-Schmidt Information Bottleneck for Adversarial Robustnesscited by 20
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularizationcited by 19
- 2022Pruning Adversarially Robust Neural Networks without Adversarial Examplescited by 12
- 2021Resilient Machine Learning for Networked Cyber Physical Systems: A Survey for Machine Learning Security to Securing Machine Learning for CPScited by 10
- 2021AdvFilter: Predictive Perturbation-aware Filtering against Adversarial Attack via Multi-domain Learningcited by 9
- 2021NoiLIn: Improving Adversarial Training and Correcting Stereotype of Noisy Labelscited by 8
- 2022A.I. Robustness: a Human-Centered Perspective on Technological Challenges and Opportunitiescited by 8
- 2021Perceptually Constrained Adversarial Attackscited by 7
12 most cited of 40 All 40 (JSON)
- 2026Incorruptible Neural Networks: Training Models that can Generalize to Large Internal Perturbations7 Feb 2026
- 2026PatchBlock: A Lightweight Defense Against Adversarial Patches for Embedded EdgeAI Devices1 Jan 2026
- 2025Trustworthy Quantum Machine Learning: A Roadmap for Reliability, Robustness, and Security in the NISQ Era4 Nov 2025
- 2025Adversarial Examples in Environment Perception for Automated Driving (Review)11 Apr 2025
- 2025A Survey of Adversarial Defenses in Vision-based Systems: Categorization, Methods and Challenges1 Mar 2025
- 2025Boosting Illuminant Estimation in Deep Color Constancy through Enhancing Brightness Robustness18 Feb 2025
- 2025Provably Safeguarding a Classifier from OOD and Adversarial Samples: an Extreme Value Theory Approach17 Jan 2025
- 2024SafeLight: Enhancing Security in Optical Convolutional Neural Network Accelerators22 Nov 2024
- 2023Certified Robustness via Dynamic Margin Maximization and Improved Lipschitz Regularization29 Sep 2023
- 2023Dendritic Integration Based Quadratic Neural Networks Outperform Traditional Aritificial Ones25 May 2023
- 2023RNAS-CL: Robust Neural Architecture Search by Cross-Layer Knowledge Distillation19 Jan 2023
- 2022A.I. Robustness: a Human-Centered Perspective on Technological Challenges and Opportunities17 Oct 2022
12 newest of 40 All 40 (JSON)