Kolmogorov Arnold Network


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Commonly called a KAN. A KAN is a Neural network where you learn the activation functions instead of the weights.

KAN vs MLP

It turns out, that you can write Kolmogorov-Arnold Network as an MLP, with some repeats and shift before ReLU.

  • https://colab.research.google.com/drive/1v3AHz5J3gk-vu4biESubJdOsUheycJNz
    • https://archive.md/Wg8P7
  • https://www.reddit.com/r/MachineLearning/comments/1clcu5i/d_kolmogorovarnold_network_is_just_an_mlp/

Link dump

  • Paper: https://arxiv.org/abs/2404.19756
  • https://cprimozic.net/blog/trying-out-kans/
  • https://github.com/Ameobea/kan/blob/main/tiny_kan.py
  • https://github.com/KindXiaoming/pykan
  • https://github.com/Blealtan/efficient-kan

Citation

If you find this work useful, please cite it as:
@article{yaltirakli,
  title   = "Kolmogorov Arnold Network",
  author  = "Yaltirakli, Gokberk",
  journal = "gkbrk.com",
  year    = "2024",
  url     = "https://www.gkbrk.com/kolmogorov-arnold-network"
}
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IEEE Citation
Gokberk Yaltirakli, "Kolmogorov Arnold Network", October, 2024. [Online]. Available: https://www.gkbrk.com/kolmogorov-arnold-network. [Accessed Oct. 19, 2024].
APA Style
Yaltirakli, G. (2024, October 19). Kolmogorov Arnold Network. https://www.gkbrk.com/kolmogorov-arnold-network
Bluebook Style
Gokberk Yaltirakli, Kolmogorov Arnold Network, GKBRK.COM (Oct. 19, 2024), https://www.gkbrk.com/kolmogorov-arnold-network

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