@article{UBHD-68679892, author={Herrmann, Lukas and Schwab, Christoph and Zech, Jakob}, title={Deep neural network expression of posterior expectations in Bayesian PDE inversion}, year={2020}, pages={? S.}, language={eng}, issn={1361-6420}, volume={36(2020}, note={Gesehen am 14.01.2021}, journal={Inverse problems}, doi={10.1088/1361-6420/abaf64}, } @article{UBHD-69289726, author={Herrmann, Lukas and Schwab, Christoph and Zech, Jakob}, title={Neural and spectral operator surrogates}, subtitle={unified construction and expression rate bounds}, year={2024}, pages={1-43}, language={eng}, issn={1572-9044}, volume={50}, note={Gesehen am 13.01.2025}, journal={Advances in computational mathematics}, doi={10.1007/s10444-024-10171-2}, } @article{UBHD-69116065, author={Longo, Marcello and Opschoor, Joost A. A. and Disch, Nico and Schwab, Christoph and Zech, Jakob}, title={De Rham compatible Deep Neural Network FEM}, year={2023}, pages={721-739}, language={eng}, issn={1879-2782}, volume={165(2023) vom: Aug.}, note={Online verf{\"u}gbar: 9. Juni 2023, Artikelversion: 28. Juni 2023 ; Gesehen am 25.08.2023}, journal={Neural networks}, doi={10.1016/j.neunet.2023.06.008}, } @article{UBHD-69091269, author={Schwab, Christoph and Zech, Jakob}, title={Deep learning in high dimension}, subtitle={neural network expression rates for analytic functions in L2(Rd,γd)}, year={2023}, pages={199-234}, language={eng}, issn={2166-2525}, volume={11}, number={1 vom: M{\"a}rz}, note={Gesehen am 29.06.2023 ; Im Titel sind die Zahl 2 und der Buchstabe d im Ausdruck "Rd" hochgestellt}, journal={SIAM ASA journal on uncertainty quantification}, doi={10.1137/21M1462738}, }