Search Results for author: Benjamin Unger

Found 5 papers, 2 papers with code

Certified machine learning: Rigorous a posteriori error bounds for PDE defined PINNs

no code implementations7 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.

Certified machine learning: A posteriori error estimation for physics-informed neural networks

no code implementations31 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.

BIG-bench Machine Learning Model Predictive Control

Port-Hamiltonian formulations of poroelastic network models

no code implementations3 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

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