What do neural networks learn in image classification? A frequency shortcut perspective
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Abstract (arXiv)
Frequency analysis is useful for understanding the mechanisms of representation learning in neural networks (NNs). Most research in this area focuses on the learning dynamics of NNs for regression tasks, while little for classification. This study empirically investigates the latter and expands the understanding of frequency shortcuts. First, we perform experiments on synthetic datasets, designed to have a bias in different frequency bands. Our results demonstrate that NNs tend to find simple solutions for classification, and what they learn first during training depends on the most distinctive frequency characteristics, which can be either low- or high-frequencies. Second, we confirm this phenomenon on natural images. We propose a metric to measure class-wise frequency characteristics and a method to identify frequency shortcuts. The results show that frequency shortcuts can be texture-based or shape-based, depending on what best simplifies the objective. Third, we validate the transferability of frequency shortcuts on out-of-distribution (OOD) test sets. Our results suggest that frequency shortcuts can be transferred across datasets and cannot be fully avoided by larger model capacity and data augmentation. We recommend that future research should focus on effective training schemes mitigating frequency shortcut learning.
Key facts. Cited by 28 papers in the map (data through 14 Oct 2026). Builds on 27 of its 44 references that are in the map. First posted on arXiv 19 Jul 2023.
Builds on
27 of 44 references.
References · 27
- 2015Deep Residual Learning for Image Recognitioncited by 52,096
- 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,364
- 2016Grad-CAM: Visual Explanations from Deep Networks via Gradient-based Localizationcited by 6,733
- 2013Deep Inside Convolutional Networks: Visualising Image Classification Models and Saliency Mapscited by 2,371
- 2020Shortcut Learning in Deep Neural Networkscited by 1,969
- 2020The Many Faces of Robustness: A Critical Analysis of Out-of-Distribution Generalizationcited by 1,850
- 2018ImageNet-trained CNNs are biased towards texture; increasing shape bias improves accuracy and robustnesscited by 1,432
- 2018On the Spectral Bias of Neural Networkscited by 1,341
- 2019A Survey on Explainable Artificial Intelligence (XAI): Towards Medical XAIcited by 404
- 2019Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networkscited by 368
- 2019Unmasking Clever Hans Predictors and Assessing What Machines Really Learncited by 365
- 2020The Pitfalls of Simplicity Bias in Neural Networkscited by 351
15 more
- 2020Noise or Signal: The Role of Image Backgrounds in Object Recognitioncited by 343
- 2019High Frequency Component Helps Explain the Generalization of Convolutional Neural Networkscited by 310
- 2019A Fourier Perspective on Model Robustness in Computer Visioncited by 288
- 2020Gradient Starvation: A Learning Proclivity in Neural Networkscited by 267
- 2021Unlearnable Examples: Making Personal Data Unexploitablecited by 193
- 2021Can contrastive learning avoid shortcut solutions?cited by 114
- 2019Analysis of Explainers of Black Box Deep Neural Networks for Computer Vision: A Surveycited by 93
- 2017Measuring the tendency of CNNs to Learn Surface Statistical Regularitiescited by 87
- 2021Towards Interpreting and Mitigating Shortcut Learning Behavior of NLU Modelscited by 78
- 2021Amplitude-Phase Recombination: Rethinking Robustness of Convolutional Neural Networks in Frequency Domaincited by 71
- 2020Automatic Shortcut Removal for Self-Supervised Representation Learningcited by 43
- 2022An Impartial Take to the CNN vs Transformer Robustness Contestcited by 34
- 2020Deep frequency principle towards understanding why deeper learning is fastercited by 31
- 2023A Survey on the Robustness of Computer Vision Models against Common Corruptionscited by 21
- 2021Understanding Layer-wise Contributions in Deep Neural Networks through Spectral Analysiscited by 3
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Citing papers per year: 2023: 1; 2024: 10; 2025: 11; 2026: 6.
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- 2024Frequency-Spatial Entanglement Learning for Camouflaged Object Detectioncited by 46
- 2025Fino1: On the Transferability of Reasoning-Enhanced LLMs and Reinforcement Learning to Financecited by 35
- 2024Can Biases in ImageNet Models Explain Generalization?cited by 20
- 2024Fourier-basis Functions to Bridge Augmentation Gap: Rethinking Frequency Augmentation in Image Classificationcited by 18
- 2024Shortcut Learning in Medical Image Segmentationcited by 16
- 2024Out of Spuriousity: Improving Robustness to Spurious Correlations without Group Annotationscited by 9
- 2024United Domain Cognition Network for Salient Object Detection in Optical Remote Sensing Imagescited by 7
- 2025Noise Matters: Optimizing Matching Noise for Diffusion Classifierscited by 7
- 2024Towards Combating Frequency Simplicity-biased Learning for Domain Generalizationcited by 6
- 2025Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalizationcited by 5
- 2023DFM-X: Augmentation by Leveraging Prior Knowledge of Shortcut Learningcited by 4
- 2024Language-Based Augmentation to Address Shortcut Learning in Object Goal Navigationcited by 3
16 more
- 2025Boosting Adversarial Transferability via High-Frequency Augmentation and Hierarchical-Gradient Fusioncited by 3
- 2025Hypernym Bias: Unraveling Deep Classifier Training Dynamics through the Lens of Class Hierarchycited by 2
- 2026Visual Prompt-Agnostic Evolutioncited by 2
- 2024Exploring connections of spectral analysis and transfer learning in medical imagingcited by 1
- 2024Lost in Context: The Influence of Context on Feature Attribution Methods for Object Recognitioncited by 1
- 2025Target-Agnostic Calibration under Distribution Shift with Frequency-Aware Gradient Rectificationcited by 1
- 2025On Measuring Localization of Shortcuts in Deep Networkscited by 1
- 2026Bias in the Shadows: Explore Shortcuts in Encrypted Network Traffic Classificationcited by 1
- 2025FiGKD: Fine-Grained Knowledge Distillation via High-Frequency Detail Transfercited by 0
- 2025FOCUS: Frequency-Optimized Conditioning of DiffUSion Models for mitigating catastrophic forgetting during Test-Time Adaptationcited by 0
- 2025A Second-Order Perspective on Pruning at Initialization and Knowledge Transfercited by 0
- 2025D-GAP: Improving Out-of-Domain Robustness via Dataset-Agnostic and Gradient-Guided Augmentation in Frequency and Pixel Spacescited by 0
- 2026Plug, Play, and Fortify: A Low-Cost Module for Robust Multimodal Image Understanding Modelscited by 0
- 2026Low-Frequency Shortcuts in Texture-Driven Visual Learningcited by 0
- 2026Invisible Shortcuts: Why Vision Encoders Know Your Cameracited by 0
- 2026Close Shortcut Wins Long: Seeking Diverse and Stable Generators for Data-Free Knowledge Distillationcited by 0
- 2026Close Shortcut Wins Long: Seeking Diverse and Stable Generators for Data-Free Knowledge Distillation22 Aug 2026
- 2026Invisible Shortcuts: Why Vision Encoders Know Your Camera5 Aug 2026
- 2026Low-Frequency Shortcuts in Texture-Driven Visual Learning2 Jun 2026
- 2026Plug, Play, and Fortify: A Low-Cost Module for Robust Multimodal Image Understanding Models26 Feb 2026
- 2026Visual Prompt-Agnostic Evolution28 Jan 2026
- 2026Bias in the Shadows: Explore Shortcuts in Encrypted Network Traffic Classification15 Jan 2026
- 2025D-GAP: Improving Out-of-Domain Robustness via Dataset-Agnostic and Gradient-Guided Augmentation in Frequency and Pixel Spaces14 Nov 2025
- 2025On Measuring Localization of Shortcuts in Deep Networks30 Oct 2025
- 2025A Second-Order Perspective on Pruning at Initialization and Knowledge Transfer28 Sep 2025
- 2025Target-Agnostic Calibration under Distribution Shift with Frequency-Aware Gradient Rectification27 Aug 2025
- 2025FOCUS: Frequency-Optimized Conditioning of DiffUSion Models for mitigating catastrophic forgetting during Test-Time Adaptation20 Aug 2025
- 2025Noise Matters: Optimizing Matching Noise for Diffusion Classifiers15 Aug 2025
16 more
- 2025Boosting Adversarial Transferability via High-Frequency Augmentation and Hierarchical-Gradient Fusion27 May 2025
- 2025FiGKD: Fine-Grained Knowledge Distillation via High-Frequency Detail Transfer17 May 2025
- 2025Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalization5 Mar 2025
- 2025Hypernym Bias: Unraveling Deep Classifier Training Dynamics through the Lens of Class Hierarchy17 Feb 2025
- 2025Fino1: On the Transferability of Reasoning-Enhanced LLMs and Reinforcement Learning to Finance12 Feb 2025
- 2024United Domain Cognition Network for Salient Object Detection in Optical Remote Sensing Images11 Nov 2024
- 2024Lost in Context: The Influence of Context on Feature Attribution Methods for Object Recognition5 Nov 2024
- 2024Towards Combating Frequency Simplicity-biased Learning for Domain Generalization21 Oct 2024
- 2024Frequency-Spatial Entanglement Learning for Camouflaged Object Detection3 Sep 2024
- 2024Out of Spuriousity: Improving Robustness to Spurious Correlations without Group Annotations20 Jul 2024
- 2024Exploring connections of spectral analysis and transfer learning in medical imaging16 Jul 2024
- 2024Can Biases in ImageNet Models Explain Generalization?1 Apr 2024
- 2024Shortcut Learning in Medical Image Segmentation11 Mar 2024
- 2024Fourier-basis Functions to Bridge Augmentation Gap: Rethinking Frequency Augmentation in Image Classification4 Mar 2024
- 2024Language-Based Augmentation to Address Shortcut Learning in Object Goal Navigation7 Feb 2024
- 2023DFM-X: Augmentation by Leveraging Prior Knowledge of Shortcut Learning12 Aug 2023
- 2024Frequency-Spatial Entanglement Learning for Camouflaged Object Detectioncited by 46
- 2024Can Biases in ImageNet Models Explain Generalization?cited by 20
- 2024Fourier-basis Functions to Bridge Augmentation Gap: Rethinking Frequency Augmentation in Image Classificationcited by 18
- 2024Shortcut Learning in Medical Image Segmentationcited by 16
- 2024Out of Spuriousity: Improving Robustness to Spurious Correlations without Group Annotationscited by 9
- 2024United Domain Cognition Network for Salient Object Detection in Optical Remote Sensing Imagescited by 7
- 2024Towards Combating Frequency Simplicity-biased Learning for Domain Generalizationcited by 6
- 2025Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalizationcited by 5
- 2023DFM-X: Augmentation by Leveraging Prior Knowledge of Shortcut Learningcited by 4
- 2025Boosting Adversarial Transferability via High-Frequency Augmentation and Hierarchical-Gradient Fusioncited by 3
- 2025Hypernym Bias: Unraveling Deep Classifier Training Dynamics through the Lens of Class Hierarchycited by 2
- 2026Visual Prompt-Agnostic Evolutioncited by 2
12 most cited of 22 All 22 (JSON)
- 2026Invisible Shortcuts: Why Vision Encoders Know Your Camera5 Aug 2026
- 2026Low-Frequency Shortcuts in Texture-Driven Visual Learning2 Jun 2026
- 2026Plug, Play, and Fortify: A Low-Cost Module for Robust Multimodal Image Understanding Models26 Feb 2026
- 2026Visual Prompt-Agnostic Evolution28 Jan 2026
- 2026Bias in the Shadows: Explore Shortcuts in Encrypted Network Traffic Classification15 Jan 2026
- 2025D-GAP: Improving Out-of-Domain Robustness via Dataset-Agnostic and Gradient-Guided Augmentation in Frequency and Pixel Spaces14 Nov 2025
- 2025On Measuring Localization of Shortcuts in Deep Networks30 Oct 2025
- 2025A Second-Order Perspective on Pruning at Initialization and Knowledge Transfer28 Sep 2025
- 2025Target-Agnostic Calibration under Distribution Shift with Frequency-Aware Gradient Rectification27 Aug 2025
- 2025Boosting Adversarial Transferability via High-Frequency Augmentation and Hierarchical-Gradient Fusion27 May 2025
- 2025Do ImageNet-trained models learn shortcuts? The impact of frequency shortcuts on generalization5 Mar 2025
- 2025Hypernym Bias: Unraveling Deep Classifier Training Dynamics through the Lens of Class Hierarchy17 Feb 2025
12 newest of 22 All 22 (JSON)