5 citations · 5 across the 3 of their papers we have counts for
3 papers
math.FA2024
ReLU neural network approximation to piecewise constant functions
Zhiqiang Cai, Junpyo Choi, Min Liu
This paper studies the approximation property of ReLU neural networks (NNs) to piecewise constant functions with unknown interfaces in bounded regions in . Under the…
math.NA2023
Least-Squares Neural Network (LSNN) Method For Linear Advection-Reaction Equation: Non-constant Jumps
Zhiqiang Cai, Junpyo Choi, Min Liu
The least-squares ReLU neural network (LSNN) method was introduced and studied for solving linear advection-reaction equation with discontinuous solution in \cite{Cai2021linear,cai…
math.NA2023★ 5 cited
Least-Squares Neural Network (LSNN) Method For Linear Advection-Reaction Equation: Discontinuity Interface
Zhiqiang Cai, Junpyo Choi, Min Liu
We studied the least-squares ReLU neural network (LSNN) method for solving linear advection-reaction equation with discontinuous solution in [Cai, Zhiqiang, Jingshuang Chen, and Mi…