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math.NA2023★ 1 cited
Computing Multi-Eigenpairs of High-Dimensional Eigenvalue Problems Using Tensor Neural Networks
Yifan Wang, Hehi Xie
In this paper, we propose a type of tensor-neural-network-based machine learning method to compute multi-eigenpairs of high dimensional eigenvalue problems without Monte-Carlo proc…
math.NA2022★ 1 cited
Tensor Neural Network and Its Numerical Integration
Yifan Wang, Pengzhan Jin, Hehu Xie
In this paper, we introduce a type of tensor neural network. For the first time, we propose its numerical integration scheme and prove the computational complexity to be the polyno…