ME-Net: Towards Effective Adversarial Robustness with Matrix Estimation
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Abstract (arXiv)
Deep neural networks are vulnerable to adversarial attacks. The literature is rich with algorithms that can easily craft successful adversarial examples. In contrast, the performance of defense techniques still lags behind. This paper proposes ME-Net, a defense method that leverages matrix estimation (ME). In ME-Net, images are preprocessed using two steps: first pixels are randomly dropped from the image; then, the image is reconstructed using ME. We show that this process destroys the adversarial structure of the noise, while re-enforcing the global structure in the original image. Since humans typically rely on such global structures in classifying images, the process makes the network mode compatible with human perception. We conduct comprehensive experiments on prevailing benchmarks such as MNIST, CIFAR-10, SVHN, and Tiny-ImageNet. Comparing ME-Net with state-of-the-art defense mechanisms shows that ME-Net consistently outperforms prior techniques, improving robustness against both black-box and white-box attacks.
Key facts. Cited by 65 papers in the map (data through 7 Oct 2026). First posted on arXiv 28 May 2019.
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Citing papers per year: 2021: 21; 2022: 15; 2023: 12; 2024: 10; 2025: 6; 2026: 1.
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- 2022Diffusion Models for Adversarial Purificationcited by 469
- 2021Improving Robustness using Generated Datacited by 233
- 2021Adversarial purification with Score-based generative modelscited by 132
- 2021Targeted Supervised Contrastive Learning for Long-Tailed Recognitioncited by 132
- 2021Advances in adversarial attacks and defenses in computer vision: A surveycited by 127
- 2022Guided Diffusion Model for Adversarial Purificationcited by 90
- 2021Towards Robustness Against Natural Language Word Substitutionscited by 68
- 2023Robust Evaluation of Diffusion-Based Adversarial Purificationcited by 65
- 2022Evaluating the Adversarial Robustness of Adaptive Test-time Defensescited by 64
- 2022AdvDO: Realistic Adversarial Attacks for Trajectory Predictioncited by 48
- 2022A Survey of Robust Adversarial Training in Pattern Recognition: Fundamental, Theory, and Methodologiescited by 44
- 2021CausalAdv: Adversarial Robustness through the Lens of Causalitycited by 37
38 more
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- 2023Subclass-balancing Contrastive Learning for Long-tailed Recognitioncited by 26
- 2022Threat Model-Agnostic Adversarial Defense using Diffusion Modelscited by 24
- 2022On the Limitations of Stochastic Pre-processing Defensescited by 21
- 2023Enhancing Adversarial Robustness via Score-Based Optimizationcited by 19
- 2023MimicDiffusion: Purifying Adversarial Perturbation via Mimicking Clean Diffusion Modelcited by 18
- 2021MagDR: Mask-guided Detection and Reconstruction for Defending Deepfakescited by 17
- 2023Convolutional Visual Prompt for Robust Visual Perceptioncited by 17
- 2022Robust Trajectory Prediction against Adversarial Attackscited by 16
- 2022PointDP: Diffusion-driven Purification against Adversarial Attacks on 3D Point Cloud Recognitioncited by 16
- 2024Adversarial Training on Purification (AToP): Advancing Both Robustness and Generalizationcited by 15
- 2023Purify++: Improving Diffusion-Purification with Advanced Diffusion Models and Control of Randomnesscited by 13
- 2022CausalSim: A Causal Framework for Unbiased Trace-Driven Simulationcited by 10
- 2024Adversarial Guided Diffusion Models for Adversarial Purificationcited by 8
- 2025Diffusion-based Adversarial Purification from the Perspective of the Frequency Domaincited by 7
- 2021The art of defense: letting networks fool the attackercited by 6
- 2024Robust Overfitting Does Matter: Test-Time Adversarial Purification With FGSMcited by 6
- 2024DiffBreak: Is Diffusion-Based Purification Robust?cited by 6
- 2022Adversarial Vulnerability of Randomized Ensemblescited by 5
- 2024Classifier Guidance Enhances Diffusion-based Adversarial Purification by Preserving Predictive Informationcited by 5
- 2021Explaining Adversarial Vulnerability with a Data Sparsity Hypothesiscited by 4
- 2021Regional Adversarial Training for Better Robust Generalizationcited by 4
- 2022Exploring Adversarial Attacks and Defenses in Vision Transformers trained with DINOcited by 4
- 2023Combining Explicit and Implicit Regularization for Efficient Learning in Deep Networkscited by 4
- 2021The Effect of Prior Lipschitz Continuity on the Adversarial Robustness of Bayesian Neural Networkscited by 3
- 2021Detect and Defense Against Adversarial Examples in Deep Learning using Natural Scene Statistics and Adaptive Denoisingcited by 3
- 2021SEC4SR: A Security Analysis Platform for Speaker Recognitioncited by 3
- 2022Hindering Adversarial Attacks with Implicit Neural Representationscited by 3
- 2023On the Robustness of Randomized Ensembles to Adversarial Perturbationscited by 3
- 2025One Stone, Two Birds: Enhancing Adversarial Defense Through the Lens of Distributional Discrepancycited by 3
- 2021Adversarial Machine Learning in Text Analysis and Generationcited by 2
- 2024Learning from Reduced Labels for Long-Tailed Datacited by 2
- 2024Cutting through buggy adversarial example defenses: fixing 1 line of code breaks Sabrecited by 2
- 2021Defensive Tensorizationcited by 1
- 2021Denoised Internal Models: a Brain-Inspired Autoencoder against Adversarial Attackscited by 1
- 2023Matrix Estimation for Individual Fairnesscited by 1
- 2023Language Guided Adversarial Purificationcited by 1
- 2024Tropical Decision Boundaries for Neural Networks Are Robust Against Adversarial Attackscited by 1
50 most cited of 65 All 65 (JSON)
- 2026NADD: Amplifying Noise for Effective Diffusion-based Adversarial Purification3 Jan 2026
- 2025SMiLE: Provably Enforcing Global Relational Properties in Neural Networks10 Nov 2025
- 2025Quantum-Informed Contrastive Learning with Dynamic Mixup Augmentation for Class-Imbalanced Expert Systems16 Jun 2025
- 2025Diffusion-based Adversarial Purification from the Perspective of the Frequency Domain2 May 2025
- 2025Adversarial Examples in Environment Perception for Automated Driving (Review)11 Apr 2025
- 2025One Stone, Two Birds: Enhancing Adversarial Defense Through the Lens of Distributional Discrepancy4 Mar 2025
- 2025Model-Free Adversarial Purification via Coarse-To-Fine Tensor Network Representation25 Feb 2025
- 2024DiffBreak: Is Diffusion-Based Purification Robust?25 Nov 2024
- 2024SMLE: Safe Machine Learning via Embedded Overapproximation30 Sep 2024
- 2024Classifier Guidance Enhances Diffusion-based Adversarial Purification by Preserving Predictive Information12 Aug 2024
- 2024How to beat a Bayesian adversary11 Jul 2024
- 2024Cutting through buggy adversarial example defenses: fixing 1 line of code breaks Sabre6 May 2024
38 more
- 2024Learning from Reduced Labels for Long-Tailed Data25 Mar 2024
- 2024Adversarial Guided Diffusion Models for Adversarial Purification24 Mar 2024
- 2024Robust Overfitting Does Matter: Test-Time Adversarial Purification With FGSM18 Mar 2024
- 2024Tropical Decision Boundaries for Neural Networks Are Robust Against Adversarial Attacks1 Feb 2024
- 2024Adversarial Training on Purification (AToP): Advancing Both Robustness and Generalization29 Jan 2024
- 2023MimicDiffusion: Purifying Adversarial Perturbation via Mimicking Clean Diffusion Model8 Dec 2023
- 2023Purify++: Improving Diffusion-Purification with Advanced Diffusion Models and Control of Randomness28 Oct 2023
- 2023Long-Tailed Classification Based on Coarse-Grained Leading Forest and Multi-Center Loss12 Oct 2023
- 2023Language Guided Adversarial Purification19 Sep 2023
- 2023Enhancing Adversarial Robustness via Score-Based Optimization10 Jul 2023
- 2023Subclass-balancing Contrastive Learning for Long-tailed Recognition28 Jun 2023
- 2023Revisiting and Advancing Adversarial Training Through A Simple Baseline13 Jun 2023
- 2023Combining Explicit and Implicit Regularization for Efficient Learning in Deep Networks1 Jun 2023
- 2023Robust Evaluation of Diffusion-Based Adversarial Purification16 Mar 2023
- 2023Convolutional Visual Prompt for Robust Visual Perception1 Mar 2023
- 2023Matrix Estimation for Individual Fairness4 Feb 2023
- 2023On the Robustness of Randomized Ensembles to Adversarial Perturbations2 Feb 2023
- 2022Hindering Adversarial Attacks with Implicit Neural Representations22 Oct 2022
- 2022AdvDO: Realistic Adversarial Attacks for Trajectory Prediction19 Sep 2022
- 2022PointDP: Diffusion-driven Purification against Adversarial Attacks on 3D Point Cloud Recognition21 Aug 2022
- 2022Robust Trajectory Prediction against Adversarial Attacks29 Jul 2022
- 2022Threat Model-Agnostic Adversarial Defense using Diffusion Models17 Jul 2022
- 2022On the Limitations of Stochastic Pre-processing Defenses19 Jun 2022
- 2022Exploring Adversarial Attacks and Defenses in Vision Transformers trained with DINO14 Jun 2022
- 2022Adversarial Vulnerability of Randomized Ensembles14 Jun 2022
- 2022Guided Diffusion Model for Adversarial Purification30 May 2022
- 2022EBM Life Cycle: MCMC Strategies for Synthesis, Defense, and Density Modeling24 May 2022
- 2022Diffusion Models for Adversarial Purification16 May 2022
- 2022A Survey of Robust Adversarial Training in Pattern Recognition: Fundamental, Theory, and Methodologies26 Mar 2022
- 2022Evaluating the Adversarial Robustness of Adaptive Test-time Defenses28 Feb 2022
- 2022Indiscriminate Poisoning Attacks on Unsupervised Contrastive Learning22 Feb 2022
- 2022CausalSim: A Causal Framework for Unbiased Trace-Driven Simulation5 Jan 2022
- 2021Targeted Supervised Contrastive Learning for Long-Tailed Recognition27 Nov 2021
- 2021Denoised Internal Models: a Brain-Inspired Autoencoder against Adversarial Attacks21 Nov 2021
- 2021Defensive Tensorization26 Oct 2021
- 2021Improving Robustness using Generated Data18 Oct 2021
- 2021SEC4SR: A Security Analysis Platform for Speaker Recognition4 Sep 2021
- 2021Regional Adversarial Training for Better Robust Generalization2 Sep 2021
50 newest of 65 All 65 (JSON)
- 2022Diffusion Models for Adversarial Purificationcited by 469
- 2021Adversarial purification with Score-based generative modelscited by 132
- 2022Guided Diffusion Model for Adversarial Purificationcited by 90
- 2022Threat Model-Agnostic Adversarial Defense using Diffusion Modelscited by 24
- 2023Enhancing Adversarial Robustness via Score-Based Optimizationcited by 19
- 2023MimicDiffusion: Purifying Adversarial Perturbation via Mimicking Clean Diffusion Modelcited by 18
- 2023Purify++: Improving Diffusion-Purification with Advanced Diffusion Models and Control of Randomnesscited by 13
- 2024Adversarial Guided Diffusion Models for Adversarial Purificationcited by 8
- 2024DiffBreak: Is Diffusion-Based Purification Robust?cited by 6
- 2024Classifier Guidance Enhances Diffusion-based Adversarial Purification by Preserving Predictive Informationcited by 5
- 2026NADD: Amplifying Noise for Effective Diffusion-based Adversarial Purificationcited by 0
- 2026NADD: Amplifying Noise for Effective Diffusion-based Adversarial Purification3 Jan 2026
- 2024DiffBreak: Is Diffusion-Based Purification Robust?25 Nov 2024
- 2024Classifier Guidance Enhances Diffusion-based Adversarial Purification by Preserving Predictive Information12 Aug 2024
- 2024Adversarial Guided Diffusion Models for Adversarial Purification24 Mar 2024
- 2023MimicDiffusion: Purifying Adversarial Perturbation via Mimicking Clean Diffusion Model8 Dec 2023
- 2023Purify++: Improving Diffusion-Purification with Advanced Diffusion Models and Control of Randomness28 Oct 2023
- 2023Enhancing Adversarial Robustness via Score-Based Optimization10 Jul 2023
- 2022Threat Model-Agnostic Adversarial Defense using Diffusion Models17 Jul 2022
- 2022Guided Diffusion Model for Adversarial Purification30 May 2022
- 2022Diffusion Models for Adversarial Purification16 May 2022
- 2021Adversarial purification with Score-based generative models11 Jun 2021
- 2021Improving Robustness using Generated Datacited by 233
- 2021Targeted Supervised Contrastive Learning for Long-Tailed Recognitioncited by 132
- 2021Advances in adversarial attacks and defenses in computer vision: A surveycited by 127
- 2021Towards Robustness Against Natural Language Word Substitutionscited by 68
- 2023Robust Evaluation of Diffusion-Based Adversarial Purificationcited by 65
- 2022Evaluating the Adversarial Robustness of Adaptive Test-time Defensescited by 64
- 2022AdvDO: Realistic Adversarial Attacks for Trajectory Predictioncited by 48
- 2022A Survey of Robust Adversarial Training in Pattern Recognition: Fundamental, Theory, and Methodologiescited by 44
- 2021CausalAdv: Adversarial Robustness through the Lens of Causalitycited by 37
- 2023Subclass-balancing Contrastive Learning for Long-tailed Recognitioncited by 26
- 2022On the Limitations of Stochastic Pre-processing Defensescited by 21
- 2021MagDR: Mask-guided Detection and Reconstruction for Defending Deepfakescited by 17
12 most cited of 53 All 53 (JSON)
- 2025SMiLE: Provably Enforcing Global Relational Properties in Neural Networks10 Nov 2025
- 2025Quantum-Informed Contrastive Learning with Dynamic Mixup Augmentation for Class-Imbalanced Expert Systems16 Jun 2025
- 2025Diffusion-based Adversarial Purification from the Perspective of the Frequency Domain2 May 2025
- 2025Adversarial Examples in Environment Perception for Automated Driving (Review)11 Apr 2025
- 2025One Stone, Two Birds: Enhancing Adversarial Defense Through the Lens of Distributional Discrepancy4 Mar 2025
- 2025Model-Free Adversarial Purification via Coarse-To-Fine Tensor Network Representation25 Feb 2025
- 2024SMLE: Safe Machine Learning via Embedded Overapproximation30 Sep 2024
- 2024How to beat a Bayesian adversary11 Jul 2024
- 2024Cutting through buggy adversarial example defenses: fixing 1 line of code breaks Sabre6 May 2024
- 2024Learning from Reduced Labels for Long-Tailed Data25 Mar 2024
- 2024Robust Overfitting Does Matter: Test-Time Adversarial Purification With FGSM18 Mar 2024
- 2024Tropical Decision Boundaries for Neural Networks Are Robust Against Adversarial Attacks1 Feb 2024
12 newest of 53 All 53 (JSON)