mlsanityData to 7 Oct 2026

Vision KAN: Towards an Attention-Free Backbone for Vision with Kolmogorov-Arnold Networks

arXiv 2601.21541 ↗First posted 29 Jan 2026cs.CVcited by 2

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Abstract (arXiv)

Attention mechanisms have become a key module in modern vision backbones due to their ability to model long-range dependencies. However, their quadratic complexity in sequence length and the difficulty of interpreting attention weights limit both scalability and clarity. Recent attention-free architectures demonstrate that strong performance can be achieved without pairwise attention, motivating the search for alternatives. In this work, we introduce Vision KAN (ViK), an attention-free backbone inspired by the Kolmogorov-Arnold Networks. At its core lies MultiPatch-RBFKAN, a unified token mixer that combines (a) patch-wise nonlinear transform with Radial Basis Function-based KANs, (b) axis-wise separable mixing for efficient local propagation, and (c) low-rank global mapping for long-range interaction. Employing as a drop-in replacement for attention modules, this formulation tackles the prohibitive cost of full KANs on high-resolution features by adopting a patch-wise grouping strategy with lightweight operators to restore cross-patch dependencies. Experiments on ImageNet-1K show that ViK achieves competitive accuracy with linear complexity, demonstrating the potential of KAN-based token mixing as an efficient and theoretically grounded alternative to attention.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 15 of its 18 references that are in the map. First posted on arXiv 29 Jan 2026.

Builds on

15 of 18 references.

References · 15

  1. 2015Deep Residual Learning for Image Recognitioncited by 51,809
  2. 2020An Image is Worth 16x16 Words: Transformers for Image Recognition at Scalecited by 29,915
  3. 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
  4. 2020Training data-efficient image transformers & distillation through attentioncited by 4,560
  5. 2021Pyramid Vision Transformer: A Versatile Backbone for Dense Prediction without Convolutionscited by 1,960
  6. 2021MLP-Mixer: An all-MLP Architecture for Visioncited by 1,441
  7. 2024KAN: Kolmogorov-Arnold Networkscited by 634
  8. 2021MetaFormer Is Actually What You Need for Visioncited by 523
  9. 2021ResMLP: Feedforward networks for image classification with data-efficient trainingcited by 338
  10. 2024Kolmogorov-Arnold Networks are Radial Basis Function Networkscited by 125
  11. 2020The elephant in the interpretability room: Why use attention as explanation when we have saliency methods?cited by 122
  12. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
3 more
  1. 2024Activation Space Selectable Kolmogorov-Arnold Networkscited by 9
  2. 2025MedKAN: An Advanced Kolmogorov-Arnold Network for Medical Image Classificationcited by 8
  3. 2024Exploring Kolmogorov-Arnold networks for realistic image sharpness assessmentcited by 5

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Citing papers per year: 2026: 2.

2 papers.