mlsanityData to 7 Oct 2026

An Image Patch is a Wave: Phase-Aware Vision MLP

arXiv 2111.12294 ↗First posted 24 Nov 2021cs.CVcited by 61

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Abstract (arXiv)

In the field of computer vision, recent works show that a pure MLP architecture mainly stacked by fully-connected layers can achieve competing performance with CNN and transformer. An input image of vision MLP is usually split into multiple tokens (patches), while the existing MLP models directly aggregate them with fixed weights, neglecting the varying semantic information of tokens from different images. To dynamically aggregate tokens, we propose to represent each token as a wave function with two parts, amplitude and phase. Amplitude is the original feature and the phase term is a complex value changing according to the semantic contents of input images. Introducing the phase term can dynamically modulate the relationship between tokens and fixed weights in MLP. Based on the wave-like token representation, we establish a novel Wave-MLP architecture for vision tasks. Extensive experiments demonstrate that the proposed Wave-MLP is superior to the state-of-the-art MLP architectures on various vision tasks such as image classification, object detection and semantic segmentation. The source code is available at https://github.com/huawei-noah/CV-Backbones/tree/master/wavemlp_pytorch and https://gitee.com/mindspore/models/tree/master/research/cv/wave_mlp.

Key facts. Cited by 61 papers in the map (data through 7 Oct 2026). Builds on 38 of its 53 references that are in the map. First posted on arXiv 24 Nov 2021.

Builds on

38 of 53 references.

References · 38

  1. 2017Attention Is All You Needcited by 59,932
  2. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  3. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
  4. 2014Microsoft COCO: Common Objects in Contextcited by 17,498
  5. 2014Very Deep Convolutional Networks for Large-Scale Image Recognitioncited by 15,267
  6. 2021Swin Transformer: Hierarchical Vision Transformer using Shifted Windowscited by 12,082
  7. 2017Mask R-CNNcited by 7,259
  8. 2016Layer Normalizationcited by 5,579
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  10. 2020Training data-efficient image transformers & distillation through attentioncited by 4,560
  11. 2014Going Deeper with Convolutionscited by 4,231
  12. 2019CutMix: Regularization Strategy to Train Strong Classifiers with Localizable Featurescited by 2,875
26 more
  1. 2019RandAugment: Practical automated data augmentation with a reduced search spacecited by 2,261
  2. 2021Pyramid Vision Transformer: A Versatile Backbone for Dense Prediction without Convolutionscited by 1,960
  3. 2021MLP-Mixer: An all-MLP Architecture for Visioncited by 1,441
  4. 2021Tokens-to-Token ViT: Training Vision Transformers from Scratch on ImageNetcited by 1,096
  5. 2016Semantic Understanding of Scenes through the ADE20K Datasetcited by 1,063
  6. 2020Designing Network Design Spacescited by 954
  7. 2021CrossViT: Cross-Attention Multi-Scale Vision Transformer for Image Classificationcited by 806
  8. 2019Panoptic Feature Pyramid Networkscited by 644
  9. 2021Transformer in Transformercited by 632
  10. 2021Pay Attention to MLPscited by 367
  11. 2021Bottleneck Transformers for Visual Recognitioncited by 364
  12. 2021Rethinking Spatial Dimensions of Vision Transformerscited by 361
  13. 2021ResMLP: Feedforward networks for image classification with data-efficient trainingcited by 338
  14. 2020Visual Transformers: Token-based Image Representation and Processing for Computer Visioncited by 333
  15. 2021CMT: Convolutional Neural Networks Meet Vision Transformerscited by 310
  16. 2021Global Filter Networks for Image Classificationcited by 257
  17. 2021Rethinking and Improving Relative Position Encoding for Vision Transformercited by 206
  18. 2021Patch Slimming for Efficient Vision Transformerscited by 131
  19. 2021CycleMLP: A MLP-like Architecture for Dense Predictioncited by 126
  20. 2021Beyond Self-attention: External Attention using Two Linear Layers for Visual Taskscited by 109
  21. 2021Vision Permutator: A Permutable MLP-Like Architecture for Visual Recognitioncited by 103
  22. 2021AS-MLP: An Axial Shifted MLP Architecture for Visioncited by 101
  23. 2021S2-MLP: Spatial-Shift MLP Architecture for Visioncited by 83
  24. 2021Hire-MLP: Vision MLP via Hierarchical Rearrangementcited by 66
  25. 2021GLiT: Neural Architecture Search for Global and Local Image Transformercited by 53
  26. 2021Augmented Shortcuts for Vision Transformerscited by 19

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2022: 15; 2023: 19; 2024: 14; 2025: 10; 2026: 3.

61 papers.

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  1. 2022Focal Modulation Networkscited by 186
  2. 2022Vision GNN: An Image is Worth Graph of Nodescited by 185
  3. 2023TSMixer: Lightweight MLP-Mixer Model for Multivariate Time Series Forecastingcited by 136
  4. 2023SpectFormer: Frequency and Attention is what you need in a Vision Transformercited by 48
  5. 2022GhostNetV2: Enhance Cheap Operation with Long-Range Attentioncited by 44
  6. 2024A Survey on Transformer Compressioncited by 44
  7. 2022BALF: Simple and Efficient Blur Aware Local Feature Detectorcited by 34
  8. 2023Lightweight Vision Transformer with Bidirectional Interactioncited by 25
  9. 2022PointVector: A Vector Representation In Point Cloud Analysiscited by 21
  10. 2023BinaryViT: Pushing Binary Vision Transformers Towards Convolutional Modelscited by 17
  11. 2023PanGu-π: Enhancing Language Model Architectures via Nonlinearity Compensationcited by 17
  12. 2022Brain-inspired Multilayer Perceptron with Spiking Neuronscited by 16
38 more
  1. 2023Scattering Vision Transformer: Spectral Mixing Matterscited by 16
  2. 2023SPANet: Frequency-balancing Token Mixer using Spectral Pooling Aggregation Modulationcited by 14
  3. 2023Strip-MLP: Efficient Token Interaction for Vision MLPcited by 12
  4. 2024Neural Clustering based Visual Representation Learningcited by 12
  5. 2024Synthetic Thermal and RGB Videos for Automatic Pain Assessment utilizing a Vision-MLP Architecturecited by 12
  6. 2024Diffusion-Inspired Quantum Noise Mitigation in Parameterized Quantum Circuitscited by 10
  7. 2025PainFormer: a Vision Foundation Model for Automatic Pain Assessmentcited by 10
  8. 2023ParaFormer: Parallel Attention Transformer for Efficient Feature Matchingcited by 9
  9. 2024C2F-TP: A Coarse-to-Fine Denoising Framework for Uncertainty-Aware Trajectory Predictioncited by 9
  10. 2024UCIP: A Universal Framework for Compressed Image Super-Resolution using Dynamic Promptcited by 8
  11. 2023ParameterNet: Parameters Are All You Needcited by 7
  12. 2024Quantum-Brain: Quantum-Inspired Neural Network Approach to Vision-Brain Understandingcited by 7
  13. 2022Mixing and Shifting: Exploiting Global and Local Dependencies in Vision MLPscited by 6
  14. 2022Active Token Mixercited by 6
  15. 2023Efficiency 360: Efficient Vision Transformerscited by 6
  16. 2025ClusterViG: Efficient Globally Aware Vision GNNs via Image Partitioningcited by 6
  17. 2024Heracles: A Hybrid SSM-Transformer Model for High-Resolution Image and Time-Series Analysiscited by 5
  18. 2023Caterpillar: A Pure-MLP Architecture with Shifted-Pillars-Concatenationcited by 4
  19. 2022PyramidTNT: Improved Transformer-in-Transformer Baselines with Pyramid Architecturecited by 3
  20. 2022BiMLP: Compact Binary Architectures for Vision Multi-Layer Perceptronscited by 3
  21. 2023Boosting Convolution with Efficient MLP-Permutation for Volumetric Medical Image Segmentationcited by 3
  22. 2024FViT: A Focal Vision Transformer with Gabor Filtercited by 3
  23. 2022MDMLP: Image Classification from Scratch on Small Datasets with MLPcited by 2
  24. 2022ExpNet: A unified network for Expert-Level Classificationcited by 1
  25. 2023Graph-Guided MLP-Mixer for Skeleton-Based Human Motion Predictioncited by 1
  26. 2023TriMLP: Revenge of a MLP-like Architecture in Sequential Recommendationcited by 1
  27. 2024SpiralMLP: A Lightweight Vision MLP Architecturecited by 1
  28. 2025Cross-DINO: Cross the Deep MLP and Transformer for Small Object Detectioncited by 1
  29. 2025FW-GAN: Frequency-Driven Handwriting Synthesis with Wave-Modulated MLP Generatorcited by 1
  30. 2025DFIR-DETR: Frequency-Domain Iterative Refinement and Dynamic Feature Aggregation for Small Object Detectioncited by 1
  31. 2026SceneGlue: Scene-Aware Transformer for Feature Matching without Scene-Level Annotationcited by 1
  32. 2022U(1) Symmetry-breaking Observed in Generic CNN Bottleneck Layerscited by 0
  33. 2022TadML: A fast temporal action detection with Mechanics-MLPcited by 0
  34. 2022Improved Image Classification with Token Fusioncited by 0
  35. 2023MC-MLP:Multiple Coordinate Frames in all-MLP Architecture for Visioncited by 0
  36. 2023Dynamic Spectrum Mixer for Visual Recognitioncited by 0
  37. 2023Coloring Deep CNN Layers with Activation Hue Losscited by 0
  38. 2023Dimension Mixer: Group Mixing of Input Dimensions for Efficient Function Approximationcited by 0

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