1 code implementation • 12 Dec 2022 • Daniel Frank, Decky Aspandi Latif, Michael Muehlebach, Benjamin Unger, Steffen Staab
In this work, we represent a recurrent neural network as a linear time-invariant system with nonlinear disturbances.
no code implementations • 7 Oct 2022 • Birgit Hillebrecht, Benjamin Unger
Prediction error quantification in machine learning has been left out of most methodological investigations of neural networks, for both purely data-driven and physics-informed approaches.
no code implementations • 31 Mar 2022 • Birgit Hillebrecht, Benjamin Unger
Physics-informed neural networks (PINNs) are one popular approach to incorporate a priori knowledge about physical systems into the learning framework.
1 code implementation • 22 Sep 2021 • Jonas Nicodemus, Jonas Kneifl, Jörg Fehr, Benjamin Unger
We thus present the idea of enhancing PINNs by adding control actions and initial conditions as additional network inputs.
no code implementations • 3 Dec 2020 • Robert Altmann, Volker Mehrmann, Benjamin Unger
We investigate an energy-based formulation of the two-field poroelasticity model and the related multiple-network model as they appear in geosciences or medical applications.
Dynamical Systems Optimization and Control 93A30, 65L80, 76S05, 93B52