Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks
Researchers have developed an enhanced version of Kolmogorov-Arnold Networks (KANs) called adaptive RBF-KAN, which improves computational efficiency and flexibility. This new approach replaces the fixed Gaussian radial basis functions used in FastKAN with a broader family of kernels, including Matérn and Wendland types. The adaptive RBF-KAN utilizes leave-one-out cross-validation for data-driven initialization of kernel shape parameters, which are further refined during network training. Evaluations on benchmark functions demonstrate the effectiveness of adaptive kernel selection and shape parameters for various data patterns. AI
IMPACT Introduces a more efficient and flexible neural network architecture that could improve performance on various benchmark functions.