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A Theoretical Analysis of Deep Neural Networks and Parametric PDEs - MaRDI portal

A Theoretical Analysis of Deep Neural Networks and Parametric PDEs

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Publication:6316459

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DOI10.1007/S00365-021-09551-4arXiv1904.00377WikidataQ114229767 ScholiaQ114229767MaRDI QIDQ6316459

Philipp Petersen, Reinhold Schneider, Gitta Kutyniok, Mones Raslan

Publication date: 31 March 2019

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Theoretical approximation in context of PDEs (35A35) Rate of convergence, degree of approximation (41A25) Elliptic equations and elliptic systems (35J99) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46) Numerical analysis (65-XX)

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