Deep ReLU neural network approximation in Bochner spaces and applications to parametric PDEs

DOI10.1016/j.jco.2023.101779arXiv2111.05854OpenAlexW4380758223MaRDI QIDQ6062166

Van Kien Nguyen, Duong Thanh Pham, Dinh Dung

Publication date: 30 November 2023

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.05854

zbMATH Keywords

deep ReLU neural networkshigh-dimensional approximation in Bochner spacesparametric elliptic PDEs with random inputs

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Probabilistic models, generic numerical methods in probability and statistics (65C20) Multidimensional problems (41A63) Numerical solutions to stochastic differential and integral equations (65C30) Rate of convergence, degree of approximation (41A25)

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