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math.NA2025
Prescribed-Basis Coefficient-to-Coefficient Neural Operator for Partial Differential Equations
Chuqi Chen, Yang Xiang, Weihong Zhang
Operator learning provides a data-driven approach to approximating solution operators of partial differential equations, but its effectiveness depends strongly on how input and out…
cs.LG2025★ 1 cited
Learn Singularly Perturbed Solutions via Homotopy Dynamics
Chuqi Chen, Yahong Yang, Yang Xiang +1
Solving partial differential equations (PDEs) using neural networks has become a central focus in scientific machine learning. Training neural networks for singularly perturbed pro…