This repository implements Radial Basis Function (RBF)-based Kolmogorov-Arnold Networks (KAN), a neural network architecture based on the Kolmogorov-Arnold representation theorem. The design (called ...

Abstract: Radial basis function neural networks (RBFNN) which are best suited for nonlinear function approximation, have been successfully applied to a wide range of areas including system modeling.

Abstract: This paper proposes a novel neural network architecture RBF-KAN, integrating the theoretical robustness of Kolmogorov-Arnold Networks (KANs) with the localized features of Radial Basis ...

This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...

We model the supply and demand curves of electricity day-ahead auctions in a parsimonious way by building an appropriate algorithm to present the information about electricity prices and demand with ...