3 papers
cs.LG2026
KernelOnet: An Interpretable Neural Operator Based on Kernel Functions
Yuan Guo, Hanshu Chen, Qiang Xi +2
This paper proposes an interpretable neural operator framework, the Kernel Operator Network (KernelOnet), which incorporates kernel functions explicitly into the neural operator ar…
cs.CE2026
An improved PINN framework integrating localized collocation scheme and PIKF
Qiang Xi, Wenzhi Xu, Mario Cvetkovic +3
We propose a localized physics-informed kernel function neural network (LPIKFNN), which is an improved physics-informed neural network (PINN) based on physics-informed kernel funct…
cs.SD2026
Virtual boundary integral neural network for three-dimensional exterior acoustic problems
Jiahao Li, Qiang Xi, Ilia Marchevskiy +1
This paper presents a virtual boundary integral neural network (VBINN) for exterior acoustic problems in three dimensions. The method introduces a virtual boundary inside the scatt…