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

@incollection{Opschoor2022Bayesian,
    AUTHOR = {Opschoor, Joost A. A. and Schwab, Christoph and Zech, Jakob},
    TITLE = {Deep learning in high dimension: {R}e{LU} neural network expression for {B}ayesian {PDE} inversion},
    BOOKTITLE = {Optimization and control for partial differential equations---uncertainty quantification, open and closed-loop control, and shape optimization},
    SERIES = {Radon Ser. Comput. Appl. Math.},
    VOLUME = {29},
    PAGES = {419--462},
    PUBLISHER = {De Gruyter, Berlin},
    YEAR = {2022},
    ISBN = {978-3-11-069596-0; 978-3-11-069598-4; 978-3-11-069600-4},
    MRCLASS = {68T07 (35R30 62F15 62M45 65N21)},
    MRNUMBER = {4409717},
    DOI = {10.1515/9783110695984-015},
    URL = {https://doi.org/10.1515/9783110695984-015}
}