6 citations · 11 across the 6 of their papers we have counts for
6 papers
Randomized Neural Networks with Petrov-Galerkin Methods for Solving Linear Elasticity Problems
Yong Shang, Fei Wang
We develop the Randomized Neural Networks with Petrov-Galerkin Methods (RNN-PG methods) to solve linear elasticity problems. RNN-PG methods use Petrov-Galerkin variational framewor…
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…
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…
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…
On the existence of a short pivoting sequence for a linear program
Anders Forsgren, Fei Wang
Pivoting methods are of vital importance for linear programming, the simplex method being the by far most well-known. In this paper, a primal-dual pair of linear programs in canoni…
Computing the generators of the truncated real radical ideal by moment matrices and SDP facial reduction
Fei Wang, Greg Reid, Henry Wolkowicz
Recent breakthroughs have been made in the use of semidefinite programming and its application to real polynomial solving. For example, the real radical of a zero dimensional ideal…