no code implementations • 1 Apr 2023 • Cosmas Heiß, Ingo Gühring, Martin Eigel
We combine concepts from multilevel solvers for partial differential equations (PDEs) with neural network based deep learning and propose a new methodology for the efficient numerical solution of high-dimensional parametric PDEs.
1 code implementation • 14 Jun 2022 • Martin Genzel, Ingo Gühring, Jan Macdonald, Maximilian März
This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy?
no code implementations • NeurIPS Workshop Deep_Invers 2021 • Martin Genzel, Ingo Gühring, Jan Macdonald, Maximilian März
This work presents an empirical study on the design and training of iterative neural networks for image reconstruction from tomographic measurements with unknown geometry.
no code implementations • NeurIPS Workshop DLDE 2021 • Cosmas Heiß, Ingo Gühring, Martin Eigel
In scientific machine learning, neural networks recently have become a popular tool for learning the solutions of differential equations.
Uncertainty Quantification Vocal Bursts Intensity Prediction
no code implementations • 9 Jul 2020 • Ingo Gühring, Mones Raslan, Gitta Kutyniok
In this review paper, we give a comprehensive overview of the large variety of approximation results for neural networks.
no code implementations • 21 Feb 2019 • Ingo Gühring, Gitta Kutyniok, Philipp Petersen
We analyze approximation rates of deep ReLU neural networks for Sobolev-regular functions with respect to weaker Sobolev norms.