Follow
Joost A. A. Opschoor
Joost A. A. Opschoor
ETH Zürich, Seminar for Applied Mathematics
Verified email at sam.math.ethz.ch
Title
Cited by
Cited by
Year
Deep ReLU networks and high-order finite element methods
JAA Opschoor, PC Petersen, C Schwab
Analysis and Applications 18 (05), 715-770, 2020
1552020
Exponential ReLU DNN expression of holomorphic maps in high dimension
JAA Opschoor, C Schwab, J Zech
Constructive Approximation 55 (1), 537-582, 2022
1232022
Constructive deep ReLU neural network approximation
L Herrmann, JAA Opschoor, C Schwab
Journal of Scientific Computing 90 (2), 75, 2022
402022
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
332023
De Rham compatible deep neural network FEM
M Longo, JAA Opschoor, N Disch, C Schwab, J Zech
Neural Networks 165, 721-739, 2023
21*2023
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
142022
Deep learning in high dimension: ReLU network expression rates for bayesian PDE inversion
JAA Opschoor, C Schwab, J Zech
SAM Research Report 2020, 2020
142020
Deep ReLU networks and high-order finite element methods II: Cheby¹ev emulation
JAA Opschoor, C Schwab
Computers & Mathematics with Applications 169, 142-162, 2024
62024
Neural networks for singular perturbations
JAA Opschoor, C Schwab, C Xenophontos
arXiv preprint arXiv:2401.06656, 2024
32024
Constructive deep neural network approximations of weighted analytic solutions to partial differential equations in polygons
JAA Opschoor
ETH Zurich, 2023
32023
Exponential Expressivity of ReLU Neural Networks on Gevrey Classes with Point Singularities
JAA Opschoor, C Schwab
arXiv preprint arXiv:2403.02035, 2024
22024
Deep learning in high dimension: ReLU neural network expression for Bayesian PDE inversion (extended version)
JAA Opschoor, C Schwab, J Zech
12020
First Order System Least Squares Neural Networks
JAA Opschoor, PC Petersen, C Schwab
arXiv preprint arXiv:2409.20264, 2024
2024
Neural Networks for Singularly Perturbed Problems
JAA Opschoor, C Schwab, C Xenophontos
BOOK OF ABSTRACTS, 12, 2024
2024
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
The system can't perform the operation now. Try again later.
Articles 1–16