21 citations · 69 across the 8 of their papers we have counts for
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math.NA2021★ 4 cited
Nonlinear Reduced DNN Models for State Estimation
Wolfgang Dahmen, Min Wang, Zhu Wang
We propose in this paper a data driven state estimation scheme for generating nonlinear reduced models for parametric families of PDEs, directly providing data-to-state maps, repre…
math.NA2021★ 1 cited
A learning-based projection method for model order reduction of transport problems
Zhichao Peng, Min Wang, Fengyan Li
The Kolmogorov -width of the solution manifolds of transport-dominated problems can decay slowly. As a result, it can be challenging to design efficient and accurate reduced ord…
math.NA2021★ 21 cited
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations
Jianfeng Lu, Yulong Lu, Min Wang
This paper concerns the a priori generalization analysis of the Deep Ritz Method (DRM) [W. E and B. Yu, 2017], a popular neural-network-based method for solving high dimensional pa…