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math.OC2022
Uniqueness of Low Rank Matrix Completion and Schur Complement
Fei Wang
In this paper we study the low rank matrix completion problem using tools from Schur complement. We give a sufficient and necessary condition such that the completed matrix is glob…
math.NA2022★ 6 cited
Local Randomized Neural Networks with Discontinuous Galerkin Methods for Partial Differential Equations
Jingbo Sun, Suchuan Dong, Fei Wang
Randomized neural networks (RNN) are a variation of neural networks in which the hidden-layer parameters are fixed to randomly assigned values and the output-layer parameters are o…
math.NA2022★ 4 cited
Deep Petrov-Galerkin Method for Solving Partial Differential Equations
Yong Shang, Fei Wang, Jingbo Sun
Deep neural networks are powerful tools for approximating functions, and they are applied to successfully solve various problems in many fields. In this paper, we propose a neural…