Deep ReLU networks and high-order finite element methods JAA Opschoor, PC Petersen, C Schwab
Analysis and Applications 18 (05), 715-770, 2020
137 2020 Exponential ReLU DNN expression of holomorphic maps in high dimension JAA Opschoor, C Schwab, J Zech
Constructive Approximation 55 (1), 537-582, 2022
106 2022 Exponential ReLU neural network approximation rates for point and edge singularities C Marcati, JAA Opschoor, PC Petersen, C Schwab
Foundations of Computational Mathematics 23 (3), 1043-1127, 2023
26 2023 Constructive deep ReLU neural network approximation L Herrmann, JAA Opschoor, C Schwab
Journal of Scientific Computing 90 (2), 75, 2022
26 2022 Deep learning in high dimension: ReLU network expression rates for bayesian PDE inversion JAA Opschoor, C Schwab, J Zech
SAM Research Report 2020, 2020
11 2020 De Rham compatible Deep Neural Network FEM M Longo, JAA Opschoor, N Disch, C Schwab, J Zech
arXiv preprint arXiv:2201.05395, 2022
9 2022 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion JAA Opschoor, C Schwab, J Zech
Optimization and Control for Partial Differential Equations: Uncertainty …, 2022
6 2022 De Rham compatible deep neural network FEM M Longo, JAA Opschoor, N Disch, C Schwab, J Zech
Neural Networks 165, 721-739, 2023
5 2023 Deep ReLU networks and high-order finite element methods II: Chebyshev emulation JAA Opschoor, C Schwab
arXiv preprint arXiv:2310.07261, 2023
3 2023 Constructive deep neural network approximations of weighted analytic solutions to partial differential equations in polygons JAA Opschoor
ETH Zurich, 2023
3 2023 Neural Networks for Singular Perturbations JAA Opschoor, C Schwab, C Xenophontos
arXiv preprint arXiv:2401.06656, 2024
1 2024 Exponential Expressivity of ReLU JAA Opschoor, C Schwab
arXiv preprint arXiv:2403.02035, 2024
2024 Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion (extended version) JAA Opschoor, C Schwab, J Zech
2020 ReLU DNN expression of sparse gpc expansion in uncertainty quantification JAA Opschoor, C Schwab
Exponential Deep Neural Network Expression for Solution Sets of PDEs Christoph Schwab Seminar for Applied Mathematics ETH Zürich, Switzerland J Opschoor, CM ETH, L Gonon, L Herrmann, P Petersen, J Zech
