kan.md

Kolmogorov-Arnold Networks (KAN)

Here're some resources about Kolmogorov-Arnold Networks, based upon "Kolmogorov-Arnold representation theorem"

Method

Kolmogorov-Arnold Transformer

tag: KAT | KAN | NUS

paper link: here

code link: here

citation:

@misc{yang2024kolmogorovarnoldtransformer,
      title={Kolmogorov-Arnold Transformer}, 
      author={Xingyi Yang and Xinchao Wang},
      year={2024},
      eprint={2409.10594},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2409.10594}, 
}

KAN 2.0: Kolmogorov-Arnold Networks Meet Science

tag: KAN 2.0 | MIT

paper link: here

code link: here

citation:

@misc{liu2024kan20kolmogorovarnoldnetworks,
      title={KAN 2.0: Kolmogorov-Arnold Networks Meet Science}, 
      author={Ziming Liu and Pingchuan Ma and Yixuan Wang and Wojciech Matusik and Max Tegmark},
      year={2024},
      eprint={2408.10205},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2408.10205}, 
}

Kolmogorov-Arnold Networks are Radial Basis Function Networks

tag: FastKAN | Peking University

paper link: here

code link: here

citation:

@misc{li2024kolmogorovarnoldnetworksradialbasis,
      title={Kolmogorov-Arnold Networks are Radial Basis Function Networks}, 
      author={Ziyao Li},
      year={2024},
      eprint={2405.06721},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2405.06721}, 
}

KAN: Kolmogorov-Arnold Networks

tag: KAN | MIT

paper link: here

code link: here

follow-up work: here

citation:

@misc{liu2024kankolmogorovarnoldnetworks,
      title={KAN: Kolmogorov-Arnold Networks}, 
      author={Ziming Liu and Yixuan Wang and Sachin Vaidya and Fabian Ruehle and James Halverson and Marin Soljačić and Thomas Y. Hou and Max Tegmark},
      year={2024},
      eprint={2404.19756},
      archivePrefix={arXiv},
      primaryClass={cs.LG},
      url={https://arxiv.org/abs/2404.19756}, 
}

Collection

Awesome KAN (Kolmogorov-Arnold Network)

tag: KAN Collection

code link: here

citation:

@misc{mintisan2024awesomekan,
  author = {Jinhui Lin},
  title  = {Awesome KAN (Kolmogorov-Arnold Network)},
  year   = 2024,
  url    = {https://github.com/mintisan/awesome-kan},
}