15 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion

DOI10.1515/9783110695984-015zbMath1487.68200OpenAlexW4220896972MaRDI QIDQ5073484

Joost A. A. Opschoor, J. Zech, Christoph Schwab

Publication date: 29 April 2022

Published in: Optimization and Control for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110695984-015

zbMATH Keywords

uncertainty quantificationBayesian inverse problemsgeneralized polynomial chaosdeep networks

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Bayesian inference (62F15) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Neural nets and related approaches to inference from stochastic processes (62M45)

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