Indirect Gradient Matching for Adversarial Robust Distillation
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Abstract (arXiv)
Adversarial training significantly improves adversarial robustness, but superior performance is primarily attained with large models. This substantial performance gap for smaller models has spurred active research into adversarial distillation (AD) to mitigate the difference. Existing AD methods leverage the teacher's logits as a guide. In contrast to these approaches, we aim to transfer another piece of knowledge from the teacher, the input gradient. In this paper, we propose a distillation module termed Indirect Gradient Distillation Module (IGDM) that indirectly matches the student's input gradient with that of the teacher. Experimental results show that IGDM seamlessly integrates with existing AD methods, significantly enhancing their performance. Particularly, utilizing IGDM on the CIFAR-100 dataset improves the AutoAttack accuracy from 28.06% to 30.32% with the ResNet-18 architecture and from 26.18% to 29.32% with the MobileNetV2 architecture when integrated into the SOTA method without additional data augmentation.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 51 of its 68 references that are in the map. First posted on arXiv 6 Dec 2023.
Builds on
51 of 68 references.
References · 51
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2015Distilling the Knowledge in a Neural Networkcited by 10,076
- 2014Explaining and Harnessing Adversarial Examplescited by 7,287
- 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,326
- 2018MobileNetV2: Inverted Residuals and Linear Bottleneckscited by 4,773
- 2016Wide Residual Networkscited by 3,057
- 2016Towards Evaluating the Robustness of Neural Networkscited by 2,976
- 2016Identity Mappings in Deep Residual Networkscited by 1,960
- 2019Theoretically Principled Trade-off between Robustness and Accuracycited by 1,510
- 2020Reliable evaluation of adversarial robustness with an ensemble of diverse parameter-free attackscited by 1,442
- 2019Certified Adversarial Robustness via Randomized Smoothingcited by 1,324
- 2018Robustness May Be at Odds with Accuracycited by 873
38 more
- 2019Square Attack: a query-efficient black-box adversarial attack via random searchcited by 682
- 2020RobustBench: a standardized adversarial robustness benchmarkcited by 659
- 2018Improving Transferability of Adversarial Examples with Input Diversitycited by 591
- 2019Unlabeled Data Improves Adversarial Robustnesscited by 415
- 2019A Survey of Deep Learning Techniques for Autonomous Drivingcited by 401
- 2019Minimally distorted Adversarial Examples with a Fast Adaptive Boundary Attackcited by 333
- 2018Feature Denoising for Improving Adversarial Robustnesscited by 312
- 2021Recent Advances in Adversarial Training for Adversarial Robustnesscited by 276
- 2021Enhancing the Transferability of Adversarial Attacks through Variance Tuningcited by 242
- 2023Better Diffusion Models Further Improve Adversarial Trainingcited by 207
- 2021Fixing Data Augmentation to Improve Adversarial Robustnesscited by 201
- 2020Bag of Tricks for Adversarial Trainingcited by 199
- 2019Understanding Adversarial Attacks on Deep Learning Based Medical Image Analysis Systemscited by 151
- 2019Adversarial Robustness through Local Linearizationcited by 146
- 2021Focal and Global Knowledge Distillation for Detectorscited by 138
- 2017Sobolev Training for Neural Networkscited by 136
- 2019Adversarially Robust Distillationcited by 124
- 2022On Adversarial Robustness of Trajectory Prediction for Autonomous Vehiclescited by 89
- 2017Keeping the Bad Guys Out: Protecting and Vaccinating Deep Learning with JPEG Compressioncited by 86
- 2019Functional Adversarial Attackscited by 82
- 2021Revisiting Adversarial Robustness Distillation: Robust Soft Labels Make Student Bettercited by 77
- 2021Show, Attend and Distill:Knowledge Distillation via Attention-based Feature Matchingcited by 76
- 2021Improving Adversarial Robustness via Channel-wise Activation Suppressingcited by 76
- 2023Decoupled Kullback-Leibler Divergence Losscited by 58
- 2021Reliable Adversarial Distillation with Unreliable Teacherscited by 55
- 2023CFA: Class-wise Calibrated Fair Adversarial Trainingcited by 53
- 2023Data Augmentation Alone Can Improve Adversarial Trainingcited by 43
- 2021Consistency Regularization for Adversarial Robustnesscited by 42
- 2022Enhancing Adversarial Training with Second-Order Statistics of Weightscited by 42
- 2019Feature Fusion for Online Mutual Knowledge Distillationcited by 40
- 2023Does Physical Adversarial Example Really Matter to Autonomous Driving? Towards System-Level Effect of Adversarial Object Evasion Attackcited by 37
- 2019What it Thinks is Important is Important: Robustness Transfers through Input Gradientscited by 34
- 2023Randomized Adversarial Training via Taylor Expansioncited by 28
- 2023Improving Generalization of Adversarial Training via Robust Critical Fine-Tuningcited by 23
- 2023Which Models have Perceptually-Aligned Gradients? An Explanation via Off-Manifold Robustnesscited by 20
- 2022On the benefits of knowledge distillation for adversarial robustnesscited by 17
- 2021LTD: Low Temperature Distillation for Gradient Masking-free Adversarial Trainingcited by 13
- 2023Gradient-Guided Knowledge Distillation for Object Detectorscited by 11
50 most cited of 51 All 51 (JSON)
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Citing papers per year: 2024: 1; 2025: 2; 2026: 2.
5 papers.
- 2025Long-tailed Adversarial Training with Self-Distillationcited by 5
- 2024Enhancing Adversarial Robustness via Uncertainty-Aware Distributional Adversarial Trainingcited by 2
- 2026Fitting Is Not Enough: Smoothness in Extremely Quantized LLMscited by 1
- 2025Sample-wise Adaptive Weighting for Transfer Consistency in Adversarial Distillationcited by 0
- 2026Information Theoretic Adversarial Training of Large Language Modelscited by 0
- 2026Fitting Is Not Enough: Smoothness in Extremely Quantized LLMs9 May 2026
- 2026Information Theoretic Adversarial Training of Large Language Models6 May 2026
- 2025Sample-wise Adaptive Weighting for Transfer Consistency in Adversarial Distillation11 Dec 2025
- 2025Long-tailed Adversarial Training with Self-Distillation9 Mar 2025
- 2024Enhancing Adversarial Robustness via Uncertainty-Aware Distributional Adversarial Training5 Nov 2024