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SW-KAN: 基于Stieltjes-Wigert q-正交多项式的Kolmogorov-Arnold网络

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2026-10-02，arXiv·Machine Learning Theory 发表 SW-KAN，采用 Stieltjes-Wigert q-正交多项式定义在 (0, ∞) 上，通过 smooth exponential-of-tanh 映射桥接无界输入与有界多项式基之间的域不匹配，并利用三项递推在 O(N) 操作内稳定求值。

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LatestOct 2
2026-10-02 arXiv 发表 SW-KAN，采用 Stieltjes-Wigert q-正交多项式与 smooth exponential-of-tanh 映射，并通过三项递推实现 O(N) 稳定求值。

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Oct 2, 2026
  1. arXiv · Machine Learning Theory
    SW-KAN：基于 Stieltjes-Wigert q-正交多项式的 Kolmogorov-Arnold 网络

    SW-KAN 采用 Stieltjes-Wigert q-正交多项式定义在半无限域 (0, ∞) 上，通过 smooth exponential-of-tanh 映射桥接无界输入与有界多项式基之间的域不匹配，并利用三项递推在 O(N) 操作内稳定求值。

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