mlsanityData to 7 Oct 2026

Kolmogorov-Arnold Networks are Radial Basis Function Networks

arXiv 2405.06721 ↗First posted 10 May 2024cs.LG cs.AIcited by 125

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Abstract (arXiv)

This short paper is a fast proof-of-concept that the 3-order B-splines used in Kolmogorov-Arnold Networks (KANs) can be well approximated by Gaussian radial basis functions. Doing so leads to FastKAN, a much faster implementation of KAN which is also a radial basis function (RBF) network.

Key facts. Cited by 125 papers in the map (data through 7 Oct 2026). Builds on 2 of its 5 references that are in the map. First posted on arXiv 10 May 2024.

Builds on

2 of 5 references.

References · 2

  1. 2016Layer Normalizationcited by 5,579
  2. 2024KAN: Kolmogorov-Arnold Networkscited by 634

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Cited by year (2026 to 7 Oct)

Citing papers per year: 2024: 36; 2025: 59; 2026: 30.

125 papers.

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  1. 2024KAN 2.0: Kolmogorov-Arnold Networks Meet Sciencecited by 116
  2. 2024A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networkscited by 103
  3. 2024Convolutional Kolmogorov-Arnold Networkscited by 76
  4. 2024A Survey on Kolmogorov-Arnold Networkcited by 67
  5. 2024Kolmogorov Arnold Informed neural network: A physics-informed deep learning framework for solving forward and inverse problems based on Kolmogorov Arnold Networkscited by 64
  6. 2024fKAN: Fractional Kolmogorov-Arnold Networks with trainable Jacobi basis functionscited by 60
  7. 2024KAN-ODEs: Kolmogorov-Arnold Network Ordinary Differential Equations for Learning Dynamical Systems and Hidden Physicscited by 58
  8. 2024Kolmogorov-Arnold Transformercited by 56
  9. 2024KAGNNs: Kolmogorov-Arnold Networks meet Graph Learningcited by 48
  10. 2024BSRBF-KAN: A combination of B-splines and Radial Basis Functions in Kolmogorov-Arnold Networkscited by 43
  11. 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 37
  12. 2024On the expressiveness and spectral bias of KANscited by 36
38 more
  1. 2024rKAN: Rational Kolmogorov-Arnold Networkscited by 31
  2. 2024Kolmogorov-Arnold Graph Neural Networkscited by 31
  3. 2025TimeKAN: KAN-based Frequency Decomposition Learning Architecture for Long-term Time Series Forecastingcited by 27
  4. 2024FC-KAN: Function Combinations in Kolmogorov-Arnold Networkscited by 18
  5. 2024DropKAN: Regularizing KANs by masking post-activationscited by 14
  6. 2024Higher-order-ReLU-KANs (HRKANs) for solving physics-informed neural networks (PINNs) more accurately, robustly and fastercited by 13
  7. 2024Endowing Interpretability for Neural Cognitive Diagnosis by Efficient Kolmogorov-Arnold Networkscited by 12
  8. 2024SPIKANs: Separable Physics-Informed Kolmogorov-Arnold Networkscited by 12
  9. 2025LeanKAN: A Parameter-Lean Kolmogorov-Arnold Network Layer with Improved Memory Efficiency and Convergence Behaviorcited by 12
  10. 2024Generalization Bounds and Model Complexity for Kolmogorov-Arnold Networkscited by 11
  11. 2025Quantum Variational Activation Functions Empower Kolmogorov-Arnold Networkscited by 10
  12. 2024Data-driven model discovery with Kolmogorov-Arnold networkscited by 9
  13. 2025Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNscited by 9
  14. 2024Kolmogorov-Arnold Network Autoencoderscited by 8
  15. 2025MedKAN: An Advanced Kolmogorov-Arnold Network for Medical Image Classificationcited by 8
  16. 2024DKL-KAN: Scalable Deep Kernel Learning using Kolmogorov-Arnold Networkscited by 7
  17. 2024Learnable Activation Functions in Physics-Informed Neural Networks for Solving Partial Differential Equationscited by 7
  18. 2024Gaussian Process Kolmogorov-Arnold Networkscited by 6
  19. 2024Architectural Scaling Surpass Basis Complexity? Efficient KANs with Single-Parameter Designcited by 6
  20. 2025Free-Knots Kolmogorov-Arnold Network: On the Analysis of Spline Knots and Advancing Stabilitycited by 6
  21. 2024HyperKAN: Kolmogorov-Arnold Networks make Hyperspectral Image Classificators Smartercited by 5
  22. 2024Rethinking the Function of Neurons in KANscited by 5
  23. 2024FourierKAN outperforms MLP on Text Classification Head Fine-tuningcited by 5
  24. 2024Residual Kolmogorov-Arnold Network for Enhanced Deep Learningcited by 5
  25. 2025CVKAN: Complex-Valued Kolmogorov-Arnold Networkscited by 5
  26. 2025Medical Image Classification with KAN-Integrated Transformers and Dilated Neighborhood Attentioncited by 5
  27. 2026FEKAN: Feature-Enriched Kolmogorov-Arnold Networkscited by 5
  28. 2024KAN we improve on HEP classification tasks? Kolmogorov-Arnold Networks applied to an LHC physics examplecited by 4
  29. 2025Exploring Adversarial Transferability between Kolmogorov-arnold Networkscited by 4
  30. 2025KAC: Kolmogorov-Arnold Classifier for Continual Learningcited by 4
  31. 2025Introducing the Short-Time Fourier Kolmogorov Arnold Network: A Dynamic Graph CNN Approach for Tree Species Classification in 3D Point Cloudscited by 4
  32. 2025ChemKANs for Combustion Chemistry Modeling and Accelerationcited by 4
  33. 2025Input Convex Kolmogorov Arnold Networkscited by 4
  34. 2025Multi-Exit Kolmogorov-Arnold Networks: enhancing accuracy and parsimonycited by 4
  35. 2024Evaluating Federated Kolmogorov-Arnold Networks on Non-IID Datacited by 3
  36. 2024LArctan-SKAN: Simple and Efficient Single-Parameterized Kolmogorov-Arnold Networks using Learnable Trigonometric Functioncited by 3
  37. 2025AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learningcited by 3
  38. 2025Physics-informed KAN PointNet: Deep learning for simultaneous solutions to inverse problems in incompressible flow on numerous irregular geometriescited by 3

50 most cited of 125 All 125 (JSON)