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Adaptive RBF-KAN improves efficiency with new kernels and data-driven shape parameters

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.

RANK_REASON The cluster contains an arXiv preprint detailing a new method for improving a type of neural network.

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

COVERAGE [2]

  1. arXiv stat.ML TIER_1 English(EN) · Roberto Cavoretto, Alessandra De Rossi, Adeeba Haider, Amir Noorizadegan ·

    Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks

    arXiv:2605.21534v1 Announce Type: new Abstract: Kolmogorov-Arnold Networks (KANs) approximate multivariate functions using learnable univariate edge functions, typically parameterized by B-spline bases. Although effective, spline-based implementations can be computationally expen…

  2. arXiv stat.ML TIER_1 English(EN) · Amir Noorizadegan ·

    Adaptive RBF-KAN: A Comparative Evaluation of Dynamic Shape Parameters in Kolmogorov-Arnold Networks

    Kolmogorov-Arnold Networks (KANs) approximate multivariate functions using learnable univariate edge functions, typically parameterized by B-spline bases. Although effective, spline-based implementations can be computationally expensive. A modified version of KANs, called FastKAN…