High Frequency Component Helps Explain the Generalization of Convolutional Neural Networks
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Abstract (arXiv)
We investigate the relationship between the frequency spectrum of image data and the generalization behavior of convolutional neural networks (CNN). We first notice CNN's ability in capturing the high-frequency components of images. These high-frequency components are almost imperceptible to a human. Thus the observation leads to multiple hypotheses that are related to the generalization behaviors of CNN, including a potential explanation for adversarial examples, a discussion of CNN's trade-off between robustness and accuracy, and some evidence in understanding training heuristics.
Key facts. Cited by 310 papers in the map (data through 14 Oct 2026). First posted on arXiv 28 May 2019.
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Citing papers per year: 2021: 50; 2022: 62; 2023: 58; 2024: 55; 2025: 45; 2026: 40.
310 papers.
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- 2021Generalized Out-of-Distribution Detection: A Surveycited by 802
- 2021ILVR: Conditioning Method for Denoising Diffusion Probabilistic Modelscited by 635
- 2021Spatial-Phase Shallow Learning: Rethinking Face Forgery Detection in Frequency Domaincited by 244
- 2023FreeU: Free Lunch in Diffusion U-Netcited by 196
- 2021Unlearnable Examples: Making Personal Data Unexploitablecited by 193
- 2021FSDR: Frequency Space Domain Randomization for Domain Generalizationcited by 164
- 2021Reading Race: AI Recognises Patient's Racial Identity In Medical Imagescited by 156
- 2022Frequency Domain Model Augmentation for Adversarial Attackcited by 130
- 2021Measure and Improve Robustness in NLP Models: A Surveycited by 107
- 2021On the Adversarial Robustness of Vision Transformerscited by 106
- 2022Inception Transformercited by 99
- 2021Towards Interpreting and Mitigating Shortcut Learning Behavior of NLU Modelscited by 78
38 more
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- 2022Frequency-driven Imperceptible Adversarial Attack on Semantic Similaritycited by 77
- 2022Improving Vision Transformers by Revisiting High-frequency Componentscited by 76
- 2023A Pilot Study of Query-Free Adversarial Attack against Stable Diffusioncited by 76
- 2024Wavelet Convolutions for Large Receptive Fieldscited by 74
- 2021Amplitude-Phase Recombination: Rethinking Robustness of Convolutional Neural Networks in Frequency Domaincited by 71
- 2021On the Frequency Bias of Generative Modelscited by 60
- 2025DeCo: Frequency-Decoupled Pixel Diffusion for End-to-End Image Generationcited by 60
- 2025Frequency-Aligned Knowledge Distillation for Lightweight Spatiotemporal Forecastingcited by 55
- 2024Frequency-aware Feature Fusion for Dense Image Predictioncited by 48
- 2023Rethinking Out-of-distribution (OOD) Detection: Masked Image Modeling is All You Needcited by 46
- 2023Adaptive Frequency Filters As Efficient Global Token Mixerscited by 45
- 2021Robust Contrastive Learning Using Negative Samples with Diminished Semanticscited by 43
- 2022Deep Frequency Filtering for Domain Generalizationcited by 43
- 2022EfficientTrain: Exploring Generalized Curriculum Learning for Training Visual Backbonescited by 43
- 2024Efficient Real-world Image Super-Resolution Via Adaptive Directional Gradient Convolutioncited by 37
- 2021A Little Robustness Goes a Long Way: Leveraging Robust Features for Targeted Transfer Attackscited by 34
- 2024Frequency-Adaptive Dilated Convolution for Semantic Segmentationcited by 34
- 2022The Devil is in the Frequency: Geminated Gestalt Autoencoder for Self-Supervised Visual Pre-Trainingcited by 33
- 2023Downstream-agnostic Adversarial Examplescited by 32
- 2021Reliably fast adversarial training via latent adversarial perturbationcited by 29
- 2021WaveCNet: Wavelet Integrated CNNs to Suppress Aliasing Effect for Noise-Robust Image Classificationcited by 29
- 2021A Frequency Perspective of Adversarial Robustnesscited by 28
- 2022Privacy-Preserving Face Recognition with Learnable Privacy Budgets in Frequency Domaincited by 28
- 2023What do neural networks learn in image classification? A frequency shortcut perspectivecited by 28
- 2023Spatial-frequency channels, shape bias, and adversarial robustnesscited by 28
- 2021Enhancing Adversarial Robustness via Test-time Transformation Ensemblingcited by 27
- 2022Gradient Methods Provably Converge to Non-Robust Networkscited by 27
- 2025More Thought, Less Accuracy? On the Dual Nature of Reasoning in Vision-Language Modelscited by 27
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- 2021Towards End-to-End Image Compression and Analysis with Transformerscited by 26
- 2023Decompose, Adjust, Compose: Effective Normalization by Playing with Frequency for Domain Generalizationcited by 26
- 2021Taxonomy of Machine Learning Safety: A Survey and Primercited by 25
- 2024LEAD: Learning Decomposition for Source-free Universal Domain Adaptationcited by 25
- 2021Removing Undesirable Feature Contributions Using Out-of-Distribution Datacited by 23
- 2022Out-of-distribution Detection via Frequency-regularized Generative Modelscited by 23
- 2023The Double-Edged Sword of Implicit Bias: Generalization vs. Robustness in ReLU Networkscited by 23
- 2024Can We Talk Models Into Seeing the World Differently?cited by 23
50 most cited of 310 All 310 (JSON)
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- 2026Frame the adversary: a structure-aware attack methodology25 Sep 2026
- 2026Accelerating Video Diffusion via Training-Free Trajectory Routing24 Sep 2026
- 2026Cross-Modal Attention Acts as a Frequency Filter: Why Verbose Prompts Improve Robustness in Vision-Language Models17 Sep 2026
- 2026Forbid Your Attention: Fooling Multimodal Large Language Models by Selectively Removing Intrinsic Focus in Spectral Domain1 Sep 2026
- 2026SHFormer: Dynamic Spectral Filtering Convolutional Neural Network and High-pass Kernel Generation Transformer for Adaptive MRI Reconstruction22 Jul 2026
- 2026Revisiting Shape and Texture Reliance with Category-Separability-Calibrated Suppression13 Jul 2026
- 2026Geometric Collapse: When Vision Models Fail to Verify Physical Causality8 Jul 2026
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38 more
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- 2026Fourier Features Let Agents Learn High Precision Policies with Imitation Learning10 Jun 2026
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- 2026Low-Frequency Shortcuts in Texture-Driven Visual Learning2 Jun 2026
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- 2026How Do Document Parsers Break? Auditing Structural Vulnerability in Document Intelligence19 May 2026
- 2026VoxShield: Protecting 3D Medical Datasets from Unauthorized Training via Frequency-Aware Inter-Slice Disruption17 May 2026
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- 2026Training-free Spatially Grounded Geometric Shape Encoding (Technical Report)8 Apr 2026
- 2026Rethinking Representations for Cross-Domain Infrared Small Target Detection: A Generalizable Perspective from the Frequency Domain2 Apr 2026
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- 2026Fast Preemptive Robustification: High-Frequency Response Anti-Aligns Shared Vulnerability26 Mar 2026
- 2026Anchor then Polish for Low-light Enhancement16 Mar 2026
- 2026ActiveFreq: Integrating Active Learning and Frequency Domain Analysis for Interactive Segmentation12 Mar 2026
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- 2025PAGen: Phase-guided Amplitude Generation for Domain-adaptive Object Detection27 Nov 2025
- 2025Frequency Bias Matters: Diving into Robust and Generalized Deep Image Forgery Detection25 Nov 2025
- 2025DeCo: Frequency-Decoupled Pixel Diffusion for End-to-End Image Generation24 Nov 2025
- 2025DetailSemNet: Elevating Signature Verification through Detail-Semantic Integration20 Nov 2025
- 2025Rethinking Bias in Generative Data Augmentation for Medical AI: a Frequency Recalibration Method15 Nov 2025
- 2025S2ML: Spatio-Spectral Mutual Learning for Depth Completion8 Nov 2025
- 2025Trans-defense: Transformer-based Denoiser for Adversarial Defense with Spatial-Frequency Domain Representation31 Oct 2025
- 2025FRBNet: Revisiting Low-Light Vision through Frequency-Domain Radial Basis Network27 Oct 2025
50 newest of 310 All 310 (JSON)
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- 2023FreeU: Free Lunch in Diffusion U-Netcited by 196
- 2023A Pilot Study of Query-Free Adversarial Attack against Stable Diffusioncited by 76
- 2025DeCo: Frequency-Decoupled Pixel Diffusion for End-to-End Image Generationcited by 60
- 2023Waving Goodbye to Low-Res: A Diffusion-Wavelet Approach for Image Super-Resolutioncited by 19
- 2023Frequency Compensated Diffusion Model for Real-scene Dehazingcited by 17
- 2024RSHazeDiff: A Unified Fourier-aware Diffusion Model for Remote Sensing Image Dehazingcited by 6
- 2024Are Images Indistinguishable to Humans Also Indistinguishable to Classifiers?cited by 5
- 2024Optimizing Active Perception for Learning Simultaneous Viewpoint Selection and Manipulation with Diffusion Policycited by 3
- 2024Adaptive Semantic-Enhanced Denoising Diffusion Probabilistic Model for Remote Sensing Image Super-Resolutioncited by 2
- 2026Joint Enhancement and Classification using Coupled Diffusion Models of Signals and Logitscited by 0
- 2026Accelerating Video Diffusion via Training-Free Trajectory Routingcited by 0
- 2026Accelerating Video Diffusion via Training-Free Trajectory Routing24 Sep 2026
- 2026Joint Enhancement and Classification using Coupled Diffusion Models of Signals and Logits17 Feb 2026
- 2025DeCo: Frequency-Decoupled Pixel Diffusion for End-to-End Image Generation24 Nov 2025
- 2024Optimizing Active Perception for Learning Simultaneous Viewpoint Selection and Manipulation with Diffusion Policy22 Sep 2024
- 2024Are Images Indistinguishable to Humans Also Indistinguishable to Classifiers?28 May 2024
- 2024RSHazeDiff: A Unified Fourier-aware Diffusion Model for Remote Sensing Image Dehazing15 May 2024
- 2024Adaptive Semantic-Enhanced Denoising Diffusion Probabilistic Model for Remote Sensing Image Super-Resolution17 Mar 2024
- 2023FreeU: Free Lunch in Diffusion U-Net20 Sep 2023
- 2023Frequency Compensated Diffusion Model for Real-scene Dehazing21 Aug 2023
- 2023Waving Goodbye to Low-Res: A Diffusion-Wavelet Approach for Image Super-Resolution4 Apr 2023
- 2023A Pilot Study of Query-Free Adversarial Attack against Stable Diffusion29 Mar 2023
- 2021ILVR: Conditioning Method for Denoising Diffusion Probabilistic Models6 Aug 2021
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- 2026Beyond Compression: Quantifying Spectral Accessibility in Vision Representationscited by 1
- 2025Fourier-Attentive Representation Learning: A Fourier-Guided Framework for Few-Shot Generalization in Vision-Language Modelscited by 0
- 2026PDA: Text-Augmented Defense Framework for Robust Vision-Language Models against Adversarial Image Attackscited by 0
- 2026Forbid Your Attention: Fooling Multimodal Large Language Models by Selectively Removing Intrinsic Focus in Spectral Domaincited by 0
- 2026Cross-Modal Attention Acts as a Frequency Filter: Why Verbose Prompts Improve Robustness in Vision-Language Modelscited by 0
- 2026Beyond Attention Imbalance: Mitigating Hallucinations via Spectral Surgerycited by 0
- 2026Beyond Attention Imbalance: Mitigating Hallucinations via Spectral Surgery29 Sep 2026
- 2026Cross-Modal Attention Acts as a Frequency Filter: Why Verbose Prompts Improve Robustness in Vision-Language Models17 Sep 2026
- 2026Forbid Your Attention: Fooling Multimodal Large Language Models by Selectively Removing Intrinsic Focus in Spectral Domain1 Sep 2026
- 2026Beyond Compression: Quantifying Spectral Accessibility in Vision Representations2 Jun 2026
- 2026PDA: Text-Augmented Defense Framework for Robust Vision-Language Models against Adversarial Image Attacks1 Apr 2026
- 2026Contrastive Spectral Rectification: Test-Time Defense towards Zero-shot Adversarial Robustness of CLIP27 Jan 2026
- 2025Fourier-Attentive Representation Learning: A Fourier-Guided Framework for Few-Shot Generalization in Vision-Language Models4 Dec 2025
- 2025Less Precise Can Be More Reliable: A Systematic Evaluation of Quantization's Impact on VLMs Beyond Accuracy25 Sep 2025
- 2024Adversarial Attacks of Vision Tasks in the Past 10 Years: A Survey31 Oct 2024
- 2024Can We Talk Models Into Seeing the World Differently?14 Mar 2024
- 2023Distilling Out-of-Distribution Robustness from Vision-Language Foundation Models2 Nov 2023
- 2025Frequency-Aligned Knowledge Distillation for Lightweight Spatiotemporal Forecastingcited by 55
- 2022Exploring Inconsistent Knowledge Distillation for Object Detection with Data Augmentationcited by 19
- 2022Aligning Logits Generatively for Principled Black-Box Knowledge Distillationcited by 3
- 2024DFMSD: Dual Feature Masking Stage-wise Knowledge Distillation for Object Detectioncited by 0
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- 2024DFMSD: Dual Feature Masking Stage-wise Knowledge Distillation for Object Detection18 Jul 2024
- 2022Exploring Inconsistent Knowledge Distillation for Object Detection with Data Augmentation20 Sep 2022
- 2022Aligning Logits Generatively for Principled Black-Box Knowledge Distillation21 May 2022
- 2023Improving Adversarial Transferability via Model Alignmentcited by 10
- 2023Improving Adversarial Transferability via Model Alignment30 Nov 2023
- 2021Generalized Out-of-Distribution Detection: A Surveycited by 802
- 2021Spatial-Phase Shallow Learning: Rethinking Face Forgery Detection in Frequency Domaincited by 244
- 2021Unlearnable Examples: Making Personal Data Unexploitablecited by 193
- 2021FSDR: Frequency Space Domain Randomization for Domain Generalizationcited by 164
- 2021Reading Race: AI Recognises Patient's Racial Identity In Medical Imagescited by 156
- 2022Frequency Domain Model Augmentation for Adversarial Attackcited by 130
- 2021Measure and Improve Robustness in NLP Models: A Surveycited by 107
- 2021On the Adversarial Robustness of Vision Transformerscited by 106
- 2022Inception Transformercited by 99
- 2021Towards Interpreting and Mitigating Shortcut Learning Behavior of NLU Modelscited by 78
- 2021When Does Contrastive Learning Preserve Adversarial Robustness from Pretraining to Finetuning?cited by 77
- 2022Frequency-driven Imperceptible Adversarial Attack on Semantic Similaritycited by 77
12 most cited of 277 All 277 (JSON)
- 2026On the Relationship between Model Quantization and Model Inversion Attacks30 Sep 2026
- 2026Forensic Twins: Self-Supervised Residual Learning for AI-Generated Image Forensics25 Sep 2026
- 2026Frame the adversary: a structure-aware attack methodology25 Sep 2026
- 2026SHFormer: Dynamic Spectral Filtering Convolutional Neural Network and High-pass Kernel Generation Transformer for Adaptive MRI Reconstruction22 Jul 2026
- 2026Revisiting Shape and Texture Reliance with Category-Separability-Calibrated Suppression13 Jul 2026
- 2026Geometric Collapse: When Vision Models Fail to Verify Physical Causality8 Jul 2026
- 2026Unlearnable Faces: Privacy Protection Surviving Extraction Pipeline7 Jul 2026
- 2026Rendering-Aware Bayesian 3D Gaussian Splatting with Native Uncertainty and Adaptive Complexity Control6 Jul 2026
- 2026CP-WSP: A Declarative CP-SAT Framework for Configurable Multi-Constraint Workforce Scheduling6 Jul 2026
- 2026FedFFT: Taming Client Drift in Federated SAM via Spectral Perturbation Filtering5 Jul 2026
- 2026The Scissors Effect: When Resize-Based Input Diversity Helps or Hurts Transfer Attacks21 Jun 2026
- 2026FUSE: Frequency-domain Unification and Spectral Energy Alignment for Multi-modal Object Re-Identification18 Jun 2026
12 newest of 277 All 277 (JSON)