Scholarlink

<p>Kolmogorov–Arnold Networks (KANs) have recently gained attention for their strong representational capacity. However, their reliance on smooth B-spline activations fundamentally limits their ability to model discontinuous or abrupt signal variations. To overcome this limitation, we propose MexiKAN, a novel KAN variant that integrates the Mexican hat wavelet into the activation design. The hat-shaped profile of the Mexican hat wavelet accurately modeling local discontinuities and impulsive patterns, while its spectral energy concentration in the mid-to-low frequency range effectively suppresses high-frequency noise. This combination yields superior robustness and generalization compared to standard KANs. Extensive experiments across diverse tasks demonstrate that MexiKAN achieves higher accuracy and robustness than state-of-the-art baselines. The project will be released at <a href="https://github.com/baboonaaaa/MexiKAN">https://github.com/baboonaaaa/MexiKAN</a>.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

MexiKAN: Mexican hat wavelet-enhanced kans for fine-grained signal modeling

  • 期刊论文

  • 发表日期：

    2026年7月20日

查看全文
  • Xuefeng Li,
  • Xingfei Li,
  • Yonggong Ren

摘要

Kolmogorov–Arnold Networks (KANs) have recently gained attention for their strong representational capacity. However, their reliance on smooth B-spline activations fundamentally limits their ability to model discontinuous or abrupt signal variations. To overcome this limitation, we propose MexiKAN, a novel KAN variant that integrates the Mexican hat wavelet into the activation design. The hat-shaped profile of the Mexican hat wavelet accurately modeling local discontinuities and impulsive patterns, while its spectral energy concentration in the mid-to-low frequency range effectively suppresses high-frequency noise. This combination yields superior robustness and generalization compared to standard KANs. Extensive experiments across diverse tasks demonstrate that MexiKAN achieves higher accuracy and robustness than state-of-the-art baselines. The project will be released at https://github.com/baboonaaaa/MexiKAN.