Mlp, Neural Networks, Machine Learning, Artificial Intelligence, Universal Approximation.
exhibit remarkable efficiency. In the context of solving partial differential equations (PDEs), a 2-Layer width-10 KAN achieves 100-fold greater accuracy compared to a 4-Layer width-100 MLP, yielding mean squared errors (MSEs) of 10^-7 and 10^-5, respectively. Remarkably, KANs also demonstrate