Towards Building More Robust Models with Frequency Bias
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Abstract (arXiv)
The vulnerability of deep neural networks to adversarial samples has been a major impediment to their broad applications, despite their success in various fields. Recently, some works suggested that adversarially-trained models emphasize the importance of low-frequency information to achieve higher robustness. While several attempts have been made to leverage this frequency characteristic, they have all faced the issue that applying low-pass filters directly to input images leads to irreversible loss of discriminative information and poor generalizability to datasets with distinct frequency features. This paper presents a plug-and-play module called the Frequency Preference Control Module that adaptively reconfigures the low- and high-frequency components of intermediate feature representations, providing better utilization of frequency in robust learning. Empirical studies show that our proposed module can be easily incorporated into any adversarial training framework, further improving model robustness across different architectures and datasets. Additionally, experiments were conducted to examine how the frequency bias of robust models impacts the adversarial training process and its final robustness, revealing interesting insights.
Key facts. Cited by 12 papers in the map (data through 7 Oct 2026). Builds on 38 of its 43 references that are in the map. First posted on arXiv 19 Jul 2023.
Builds on
38 of 43 references.
References · 38
- 2015Deep Residual Learning for Image Recognitioncited by 51,809
- 2014Explaining and Harnessing Adversarial Examplescited by 7,287
- 2017Towards Deep Learning Models Resistant to Adversarial Attackscited by 6,326
- 2013Intriguing properties of neural networkscited by 5,114
- 2016Wide Residual Networkscited by 3,057
- 2016Towards Evaluating the Robustness of Neural Networkscited by 2,976
- 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
- 2018ImageNet-trained CNNs are biased towards texture; increasing shape bias improves accuracy and robustnesscited by 1,430
- 2015DeepFool: a simple and accurate method to fool deep neural networkscited by 1,315
- 2018Averaging Weights Leads to Wider Optima and Better Generalizationcited by 1,194
- 2016Adversarial Machine Learning at Scalecited by 934
26 more
- 2020Fast is better than free: Revisiting adversarial trainingcited by 723
- 2019Square Attack: a query-efficient black-box adversarial attack via random searchcited by 682
- 2019Adversarial Training for Free!cited by 638
- 2018Improving Transferability of Adversarial Examples with Input Diversitycited by 591
- 2018Black-box Adversarial Attacks with Limited Queries and Informationcited by 499
- 2017Decision-Based Adversarial Attacks: Reliable Attacks Against Black-Box Machine Learning Modelscited by 459
- 2019Evading Defenses to Transferable Adversarial Examples by Translation-Invariant Attackscited by 440
- 2019Minimally distorted Adversarial Examples with a Fast Adaptive Boundary Attackcited by 333
- 2022How Do Vision Transformers Work?cited by 305
- 2020Uncovering the Limits of Adversarial Training against Norm-Bounded Adversarial Examplescited by 275
- 2020Attacks Which Do Not Kill Training Make Adversarial Learning Strongercited by 242
- 2020Geometry-aware Instance-reweighted Adversarial Trainingcited by 198
- 2019Adversarial Robustness through Local Linearizationcited by 146
- 2022Anti-Oversmoothing in Deep Vision Transformers via the Fourier Domain Analysis: From Theory to Practicecited by 136
- 2021On the Adversarial Robustness of Vision Transformerscited by 104
- 2022LAS-AT: Adversarial Training with Learnable Attack Strategycited by 94
- 2020Learnable Boundary Guided Adversarial Trainingcited by 93
- 2019Interpreting Adversarially Trained Convolutional Neural Networkscited by 75
- 2022Overview frequency principle/spectral bias in deep learningcited by 68
- 2020An Analysis of Adversarial Attacks and Defenses on Autonomous Driving Modelscited by 67
- 2021A Frequency Perspective of Adversarial Robustnesscited by 28
- 2021Knowledge Enhanced Machine Learning Pipeline against Diverse Adversarial Attackscited by 24
- 2019Adversarial Defense by Suppressing High-frequency Componentscited by 22
- 2022Robust Real-World Image Super-Resolution against Adversarial Attackscited by 11
- 2021Impact of Spatial Frequency Based Constraints on Adversarial Robustnesscited by 8
- 2022Frequency Regularization for Improving Adversarial Robustnesscited by 1
Built on by
Citing papers per year: 2023: 1; 2024: 4; 2025: 4; 2026: 3.
12 papers.
- 2023Defenses in Adversarial Machine Learning: A Surveycited by 14
- 2024HiLo: Detailed and Robust 3D Clothed Human Reconstruction with High-and Low-Frequency Information of Parametric Modelscited by 13
- 2025Rethinking Adversarial Attacks in Reinforcement Learning from Policy Distribution Perspectivecited by 10
- 2025Robust Deep Reinforcement Learning in Robotics via Adaptive Gradient-Masked Adversarial Attackscited by 7
- 2024Mitigating Low-Frequency Bias: Feature Recalibration and Frequency Attention Regularization for Adversarial Robustnesscited by 3
- 2025FastDINOv2: Frequency Based Curriculum Learning Improves Robustness and Training Speedcited by 2
- 2026Contrastive Spectral Rectification: Test-Time Defense towards Zero-shot Adversarial Robustness of CLIPcited by 2
- 2024Label Augmentation for Neural Networks Robustnesscited by 1
- 2024Harmonizing Feature Maps: A Graph Convolutional Approach for Enhancing Adversarial Robustnesscited by 0
- 2025SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoderscited by 0
- 2026WILD-SAM: Phase-Aware Expert Adaptation of SAM for Landslide Detection in Wrapped InSAR Interferogramscited by 0
- 2026Improving Adversarial Robustness via Activation Amplification and Attenuationcited by 0
- 2026Improving Adversarial Robustness via Activation Amplification and Attenuation26 Jun 2026
- 2026WILD-SAM: Phase-Aware Expert Adaptation of SAM for Landslide Detection in Wrapped InSAR Interferograms16 Apr 2026
- 2026Contrastive Spectral Rectification: Test-Time Defense towards Zero-shot Adversarial Robustness of CLIP27 Jan 2026
- 2025SUPER Module for Detail-Sensitive and Cost-Efficient U-Net Variant Decoders14 Nov 2025
- 2025FastDINOv2: Frequency Based Curriculum Learning Improves Robustness and Training Speed4 Jul 2025
- 2025Robust Deep Reinforcement Learning in Robotics via Adaptive Gradient-Masked Adversarial Attacks26 Mar 2025
- 2025Rethinking Adversarial Attacks in Reinforcement Learning from Policy Distribution Perspective7 Jan 2025
- 2024Label Augmentation for Neural Networks Robustness4 Aug 2024
- 2024Mitigating Low-Frequency Bias: Feature Recalibration and Frequency Attention Regularization for Adversarial Robustness4 Jul 2024
- 2024Harmonizing Feature Maps: A Graph Convolutional Approach for Enhancing Adversarial Robustness17 Jun 2024
- 2024HiLo: Detailed and Robust 3D Clothed Human Reconstruction with High-and Low-Frequency Information of Parametric Models7 Apr 2024
- 2023Defenses in Adversarial Machine Learning: A Survey13 Dec 2023