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pro vyhledávání: '"Liao, Yangfei"'
In this paper, based on the combination of tensor neural network and a posteriori error estimator, a novel type of machine learning method is proposed to solve high-dimensional boundary value problems with homogeneous and non-homogeneous Dirichlet or
Externí odkaz:
http://arxiv.org/abs/2311.02732
In this paper, we propose a tensor type of discretization and optimization process for solving high dimensional partial differential equations. First, we design the tensor type of trial function for the high dimensional partial differential equations
Externí odkaz:
http://arxiv.org/abs/2211.16548
Autor:
Liao, Yangfei, Lin, Zhongshuo, Liu, Jianghao, Sun, Qingyuan, Wang, Yifan, Wu, Teng, Xie, Hehu
In this paper, we introduce a novel approach to solve the many-body Schrodinger equation by the tensor neural network. Based on the tensor product structure, we can do the direct numerical integration by using fixed quadrature points for the function
Externí odkaz:
http://arxiv.org/abs/2209.12572
Akademický článek
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In this paper, we introduce a prototype of machine learning method to solve the many-body Schr\"{o}dinger equation by the tensor neural network. Based on the tensor product structure, we can do the direct numerical integration by using fixed quadratu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=arXiv_______::30cd7694577dca400bd171b3b70567fb
http://arxiv.org/abs/2209.12572
http://arxiv.org/abs/2209.12572