3 papers
stat.ML2025
Sequential Bayesian Design for Efficient Surrogate Construction in the Inversion of Darcy Flows
Hongji Wang, Hongqiao Wang, Jinyong Ying +1
Inverse problems governed by partial differential equations (PDEs) play a crucial role in various fields, including computational science, image processing, and engineering. Partic…
math.NA2024
Anderson Accelerated Gauss-Newton-guided deep learning for nonlinear inverse problems with Application to Electrical Impedance Tomography
Qingping Zhou, Guixian Xu, Zhexin Wen +1
Physics-guided deep learning is an important prevalent research topic in scientific machine learning, which has tremendous potential in various complex applications including scien…
math.NA2024
Accurate adaptive deep learning method for solving elliptic problems
Jingyong Ying, Yaqi Xie, Jiao Li +1
Deep learning method is of great importance in solving partial differential equations. In this paper, inspired by the failure-informed idea proposed by Gao et.al. (SIAM Journal on…