Wenrui Hao

2 accepted papers

2025

Learn Singularly Perturbed Solutions via Homotopy Dynamics

Chuqi CHEN, Yahong Yang, Yang Xiang, Wenrui Hao

ICML 2025poster

Solving partial differential equations (PDEs) using neural networks has become a central focus in scientific machine learning. Training neural networks for singularly perturbed problems is particularly challenging due to certain parameters in the PDEs that introduce near-singularities in the loss fu…

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2024

Newton Informed Neural Operator for Solving Nonlinear Partial Differential Equations

Wenrui Hao, Xinliang Liu, Yahong Yang

NeurIPS 2024poster

Solving nonlinear partial differential equations (PDEs) with multiple solutions is essential in various fields, including physics, biology, and engineering. However, traditional numerical methods, such as finite element and finite difference methods, often face challenges when dealing with nonlinear…

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