Refined generalization analysis of the Deep Ritz Method and Physics-Informed Neural Networks. - Xianliang Xu; Zhongyi Huang (CoRR, 2024)

A Priori Estimation of the Approximation, Optimization and Generalization Error of Random Neural Networks for Solving Partial Differential Equations. - Xianliang Xu; Zhongyi Huang (CoRR, 2024)

Convergence of Implicit Gradient Descent for Training Two-Layer Physics-Informed Neural Networks. - Xianliang Xu; Zhongyi Huang; Ye Li (CoRR, 2024)

Convergence Analysis of Natural Gradient Descent for Over-parameterized Physics-Informed Neural Networks. - Xianliang Xu; Ting Du; Wang Kong; Ye Li; Zhongyi Huang (CoRR, 2024)

Physics-Informed Tailored Finite Point Operator Network for Parametric Interface Problems. - Ting Du; Xianliang Xu; Wang Kong; Ye Li; Zhongyi Huang (CoRR, 2024)

Convergence analysis of wide shallow neural operators within the framework of Neural Tangent Kernel. - Xianliang Xu; Ye Li; Zhongyi Huang (CoRR, 2024)