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- W4320488531 abstract "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 polynomial scale of the dimension. Based on the tensor product structure, we develop an efficient numerical integration method by using fixed quadrature points for the functions of the tensor neural network. The corresponding machine learning method is also introduced for solving high-dimensional problems. Some numerical examples are also provided to validate the theoretical results and the numerical algorithm." @default.
- W4320488531 created "2023-02-14" @default.
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- W4320488531 date "2022-07-06" @default.
- W4320488531 modified "2023-09-29" @default.
- W4320488531 title "Tensor Neural Network and Its Numerical Integration" @default.
- W4320488531 doi "https://doi.org/10.48550/arxiv.2207.02754" @default.
- W4320488531 hasPublicationYear "2022" @default.
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