no code implementations • 22 Mar 2024 • Lea Kunkel, Mathias Trabs
The assumptions of this oracle inequality are designed to be satisfied by network architectures commonly used in practice, such as feedforward ReLU networks.
no code implementations • 21 Dec 2023 • Sebastian Bieringer, Gregor Kasieczka, Maximilian F. Steffen, Mathias Trabs
Uncertainty estimation is a key issue when considering the application of deep neural network methods in science and engineering.
1 code implementation • 13 Oct 2023 • Sebastian Bieringer, Gregor Kasieczka, Maximilian F. Steffen, Mathias Trabs
A Metropolis-Hastings step is widely used for gradient-based Markov chain Monte Carlo methods in uncertainty quantification.
no code implementations • 26 Apr 2022 • Maximilian F. Steffen, Mathias Trabs
We study the Gibbs posterior distribution for sparse deep neural nets in a nonparametric regression setting.
no code implementations • 17 Mar 2022 • Stephan Eckstein, Armin Iske, Mathias Trabs
We apply the general stability result to principal component analysis (PCA).
2 code implementations • 10 Oct 2017 • Markus Bibinger, Mathias Trabs
We study the parameter estimation for parabolic, linear, second-order, stochastic partial differential equations (SPDEs) observing a mild solution on a discrete grid in time and space.
Statistics Theory Probability Methodology Statistics Theory 62M10 (Primary), 60H15 (Secondary)