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cs.LG2024★ 2 cited
RBF-PINN: Non-Fourier Positional Embedding in Physics-Informed Neural Networks
Chengxi Zeng, Tilo Burghardt, Alberto M Gambaruto
While many recent Physics-Informed Neural Networks (PINNs) variants have had considerable success in solving Partial Differential Equations, the empirical benefits of feature mappi…
cs.LG2024★ 1 cited
Feature Mapping in Physics-Informed Neural Networks (PINNs)
Chengxi Zeng, Tilo Burghardt, Alberto M Gambaruto
In this paper, the training dynamics of PINNs with a feature mapping layer via the limiting Conjugate Kernel and Neural Tangent Kernel is investigated, shedding light on the conver…