Are Labels Required for Improving Adversarial Robustness?
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Abstract (arXiv)
Recent work has uncovered the interesting (and somewhat surprising) finding that training models to be invariant to adversarial perturbations requires substantially larger datasets than those required for standard classification. This result is a key hurdle in the deployment of robust machine learning models in many real world applications where labeled data is expensive. Our main insight is that unlabeled data can be a competitive alternative to labeled data for training adversarially robust models. Theoretically, we show that in a simple statistical setting, the sample complexity for learning an adversarially robust model from unlabeled data matches the fully supervised case up to constant factors. On standard datasets like CIFAR-10, a simple Unsupervised Adversarial Training (UAT) approach using unlabeled data improves robust accuracy by 21.7% over using 4K supervised examples alone, and captures over 95% of the improvement from the same number of labeled examples. Finally, we report an improvement of 4% over the previous state-of-the-art on CIFAR-10 against the strongest known attack by using additional unlabeled data from the uncurated 80 Million Tiny Images dataset. This demonstrates that our finding extends as well to the more realistic case where unlabeled data is also uncurated, therefore opening a new avenue for improving adversarial training.
Key facts. Cited by 163 papers in the map (data through 14 Oct 2026). First posted on arXiv 31 May 2019.
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Citing papers per year: 2021: 46; 2022: 45; 2023: 43; 2024: 14; 2025: 11; 2026: 4.
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- 2021Recent Advances in Adversarial Training for Adversarial Robustnesscited by 279
- 2021Improving Robustness using Generated Datacited by 234
- 2023Cross-Entropy Loss Functions: Theoretical Analysis and Applicationscited by 210
- 2023Better Diffusion Models Further Improve Adversarial Trainingcited by 208
- 2021Fixing Data Augmentation to Improve Adversarial Robustnesscited by 204
- 2021Data Augmentation Can Improve Robustnesscited by 194
- 2024Defensive Unlearning with Adversarial Training for Robust Concept Erasure in Diffusion Modelscited by 168
- 2022Backdoor Defense via Decoupling the Training Processcited by 153
- 2022Understanding Zero-Shot Adversarial Robustness for Large-Scale Modelscited by 117
- 2021Robust Learning Meets Generative Models: Can Proxy Distributions Improve Adversarial Robustness?cited by 113
- 2022Robustness and Accuracy Could Be Reconcilable by (Proper) Definitioncited by 111
- 2021Revisiting Adversarial Robustness Distillation: Robust Soft Labels Make Student Bettercited by 79
38 more
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- 2023How Deep Learning Sees the World: A Survey on Adversarial Attacks & Defensescited by 66
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- 2021Relating Adversarially Robust Generalization to Flat Minimacited by 57
- 2021Reliable Adversarial Distillation with Unreliable Teacherscited by 56
- 2021Exploring Memorization in Adversarial Trainingcited by 55
- 2022Understanding Robust Overfitting of Adversarial Training and Beyondcited by 51
- 2021Detecting Adversarial Examples Is (Nearly) As Hard As Classifying Themcited by 48
- 2021Adversarial Attacks are Reversible with Natural Supervisioncited by 47
- 2021Distributionally Robust Learningcited by 44
- 2023Data Augmentation Alone Can Improve Adversarial Trainingcited by 43
- 2023Backdoor Defense via Adaptively Splitting Poisoned Datasetcited by 43
- 2022How to Robustify Black-Box ML Models? A Zeroth-Order Optimization Perspectivecited by 39
- 2021Adversarial Training Helps Transfer Learning via Better Representationscited by 36
- 2022Calibrated ensembles can mitigate accuracy tradeoffs under distribution shiftcited by 34
- 2022DISCO: Adversarial Defense with Local Implicit Functionscited by 34
- 2021On Fast Adversarial Robustness Adaptation in Model-Agnostic Meta-Learningcited by 29
- 2021Provably Efficient Black-Box Action Poisoning Attacks Against Reinforcement Learningcited by 29
- 2022On the Adversarial Robustness of Mixture of Expertscited by 28
- 2023Randomized Adversarial Training via Taylor Expansioncited by 28
- 2022Robust Weight Perturbation for Adversarial Trainingcited by 25
- 2023Toward Understanding Generative Data Augmentationcited by 25
- 2021LAFEAT: Piercing Through Adversarial Defenses with Latent Featurescited by 24
- 2021Removing Undesirable Feature Contributions Using Out-of-Distribution Datacited by 23
- 2022Understanding and Combating Robust Overfitting via Input Loss Landscape Analysis and Regularizationcited by 22
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- 2022Decoupled Adversarial Contrastive Learning for Self-supervised Adversarial Robustnesscited by 20
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- 2021Understanding the Interaction of Adversarial Training with Noisy Labelscited by 19
- 2021Adversarial Robustness via Fisher-Rao Regularizationcited by 19
- 2022Revisiting adapters with adversarial trainingcited by 18
- 2022Reverse Engineering of Imperceptible Adversarial Image Perturbationscited by 17
- 2023Adversarial Training of Self-supervised Monocular Depth Estimation against Physical-World Attackscited by 17
- 2021Adversarial Examples can be Effective Data Augmentation for Unsupervised Machine Learningcited by 16
- 2021Towards Evaluating the Robustness of Deep Diagnostic Models by Adversarial Attackcited by 15
- 2021Deepfake Forensics via An Adversarial Gamecited by 15
- 2023Hyperbolic Contrastive Learningcited by 15
- 2021Two Coupled Rejection Metrics Can Tell Adversarial Examples Apartcited by 14
50 most cited of 163 All 163 (JSON)
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- 2026Robust Alignment: Harmonizing Clean Accuracy and Adversarial Robustness in Adversarial Training29 Apr 2026
- 2026Dummy-Aware Weighted Attack (DAWA): Breaking the Safe Sink in Dummy Class Defenses31 Mar 2026
- 2025When Flatness Does (Not) Guarantee Adversarial Robustness16 Oct 2025
- 2025Generalist++: A Meta-learning Framework for Mitigating Trade-off in Adversarial Training15 Oct 2025
- 2025RCR-AF: Enhancing Model Generalization via Rademacher Complexity Reduction Activation Function30 Jul 2025
- 2025Theoretical Analysis of Relative Errors in Gradient Computations for Adversarial Attacks with CE Loss30 Jul 2025
- 2025Adversarial Defence without Adversarial Defence: Enhancing Language Model Robustness via Instance-level Principal Component Removal29 Jul 2025
- 2025A Flat Minima Perspective on Understanding Augmentations and Model Robustness30 May 2025
- 2025Understanding Adversarial Training with Energy-based Models28 May 2025
- 2025TAROT: Towards Essentially Domain-Invariant Robustness with Theoretical Justification10 May 2025
38 more
- 2025Revisiting the Relationship between Adversarial and Clean Training: Why Clean Training Can Make Adversarial Training Better30 Mar 2025
- 2025Weakly Supervised Contrastive Adversarial Training for Learning Robust Features from Semi-supervised Data14 Mar 2025
- 2025Efficient Semi-Supervised Adversarial Training via Latent Clustering-Based Data Reduction15 Jan 2025
- 2024Adversarial Training in Low-Label Regimes with Margin-Based Interpolation27 Nov 2024
- 2024Improving Domain Generalization in Self-supervised Monocular Depth Estimation via Stabilized Adversarial Training4 Nov 2024
- 2024Gradual Domain Adaptation via Manifold-Constrained Distributionally Robust Optimization17 Oct 2024
- 2024New Paradigm of Adversarial Training: Releasing Accuracy-Robustness Trade-Off via Dummy Class16 Oct 2024
- 2024Generalizing to any diverse distribution: uniformity, gentle finetuning and rebalancing8 Oct 2024
- 2024Revisiting Semi-supervised Adversarial Robustness via Noise-aware Online Robust Distillation19 Sep 2024
- 2024NPAT Null-Space Projected Adversarial Training Towards Zero Deterioration18 Sep 2024
- 2024Exploiting Supervised Poison Vulnerability to Strengthen Self-Supervised Defense13 Sep 2024
- 2024Revisiting Min-Max Optimization Problem in Adversarial Training20 Aug 2024
- 2024Deep Learning with Data Privacy via Residual Perturbation11 Aug 2024
- 2024Self-supervised Adversarial Training of Monocular Depth Estimation against Physical-World Attacks9 Jun 2024
- 2024Defensive Unlearning with Adversarial Training for Robust Concept Erasure in Diffusion Models24 May 2024
- 2024Towards Understanding Dual BN In Hybrid Adversarial Training28 Mar 2024
- 2024Invariance-powered Trustworthy Defense via Remove Then Restore1 Feb 2024
- 2023Defenses in Adversarial Machine Learning: A Survey13 Dec 2023
- 2023IRAD: Implicit Representation-driven Image Resampling against Adversarial Attacks18 Oct 2023
- 2023Generating Less Certain Adversarial Examples Improves Robust Generalization6 Oct 2023
- 2023Something for (almost) nothing: Improving deep ensemble calibration using unlabeled data4 Oct 2023
- 2023Splitting the Difference on Adversarial Training3 Oct 2023
- 2023Understanding Robust Overfitting from the Feature Generalization Perspective1 Oct 2023
- 2023Out-Of-Domain Unlabeled Data Improves Generalization29 Sep 2023
- 2023Extreme Image Transformations Facilitate Robust Latent Object Representations19 Sep 2023
- 2023DAD++: Improved Data-free Test Time Adversarial Defense10 Sep 2023
- 2023Enhancing Adversarial Robustness in Low-Label Regime via Adaptively Weighted Regularization and Knowledge Distillation8 Aug 2023
- 2023FROD: Robust Object Detection for Free3 Aug 2023
- 2023Noisy Self-Training with Data Augmentations for Offensive and Hate Speech Detection Tasks31 Jul 2023
- 2023Vulnerability-Aware Instance Reweighting For Adversarial Training14 Jul 2023
- 2023Mitigating Accuracy-Robustness Trade-off via Balanced Multi-Teacher Adversarial Distillation28 Jun 2023
- 2023Enhancing Adversarial Training via Reweighting Optimization Trajectory25 Jun 2023
- 2023Adversarial Robustness of Prompt-based Few-Shot Learning for Natural Language Understanding19 Jun 2023
- 2023Revisiting and Advancing Adversarial Training Through A Simple Baseline13 Jun 2023
- 2023From Robustness to Explainability and Back Again5 Jun 2023
- 2023Enhance Diffusion to Improve Robust Generalization5 Jun 2023
- 2023Toward Understanding Generative Data Augmentation27 May 2023
- 2023How Deep Learning Sees the World: A Survey on Adversarial Attacks & Defenses18 May 2023
50 newest of 163 All 163 (JSON)
- 2021Revisiting Adversarial Robustness Distillation: Robust Soft Labels Make Student Bettercited by 79
- 2021Reliable Adversarial Distillation with Unreliable Teacherscited by 56
- 2021AGKD-BML: Defense Against Adversarial Attack by Attention Guided Knowledge Distillation and Bi-directional Metric Learningcited by 10
- 2023Enhancing Adversarial Robustness in Low-Label Regime via Adaptively Weighted Regularization and Knowledge Distillationcited by 3
- 2023Enhancing Adversarial Robustness in Low-Label Regime via Adaptively Weighted Regularization and Knowledge Distillation8 Aug 2023
- 2021Revisiting Adversarial Robustness Distillation: Robust Soft Labels Make Student Better18 Aug 2021
- 2021AGKD-BML: Defense Against Adversarial Attack by Attention Guided Knowledge Distillation and Bi-directional Metric Learning13 Aug 2021
- 2021Reliable Adversarial Distillation with Unreliable Teachers9 Jun 2021
- 2022On the Adversarial Robustness of Mixture of Expertscited by 28
- 2022On the Adversarial Robustness of Mixture of Experts19 Oct 2022
- 2021Recent Advances in Adversarial Training for Adversarial Robustnesscited by 279
- 2021Improving Robustness using Generated Datacited by 234
- 2023Cross-Entropy Loss Functions: Theoretical Analysis and Applicationscited by 210
- 2021Fixing Data Augmentation to Improve Adversarial Robustnesscited by 204
- 2021Data Augmentation Can Improve Robustnesscited by 194
- 2022Backdoor Defense via Decoupling the Training Processcited by 153
- 2021Robust Learning Meets Generative Models: Can Proxy Distributions Improve Adversarial Robustness?cited by 113
- 2022Robustness and Accuracy Could Be Reconcilable by (Proper) Definitioncited by 111
- 2021Exploring Architectural Ingredients of Adversarially Robust Deep Neural Networkscited by 74
- 2023How Deep Learning Sees the World: A Survey on Adversarial Attacks & Defensescited by 66
- 2021Open-set Label Noise Can Improve Robustness Against Inherent Label Noisecited by 59
- 2021Relating Adversarially Robust Generalization to Flat Minimacited by 57
12 most cited of 154 All 154 (JSON)
- 2026Bagging Robustly Learns VC Classes with Linear Sample Complexity13 Aug 2026
- 2026Fortifying Time Series: DTW-Certified Robust Anomaly Detection8 May 2026
- 2026Robust Alignment: Harmonizing Clean Accuracy and Adversarial Robustness in Adversarial Training29 Apr 2026
- 2026Dummy-Aware Weighted Attack (DAWA): Breaking the Safe Sink in Dummy Class Defenses31 Mar 2026
- 2025When Flatness Does (Not) Guarantee Adversarial Robustness16 Oct 2025
- 2025Generalist++: A Meta-learning Framework for Mitigating Trade-off in Adversarial Training15 Oct 2025
- 2025RCR-AF: Enhancing Model Generalization via Rademacher Complexity Reduction Activation Function30 Jul 2025
- 2025Theoretical Analysis of Relative Errors in Gradient Computations for Adversarial Attacks with CE Loss30 Jul 2025
- 2025Adversarial Defence without Adversarial Defence: Enhancing Language Model Robustness via Instance-level Principal Component Removal29 Jul 2025
- 2025A Flat Minima Perspective on Understanding Augmentations and Model Robustness30 May 2025
- 2025Understanding Adversarial Training with Energy-based Models28 May 2025
- 2025TAROT: Towards Essentially Domain-Invariant Robustness with Theoretical Justification10 May 2025
12 newest of 154 All 154 (JSON)