1 code implementation • 11 Oct 2023 • Paul Schwerdtner, Philipp Schulze, Jules Berman, Benjamin Peherstorfer
This work focuses on the conservation of quantities such as Hamiltonians, mass, and momentum when solution fields of partial differential equations are approximated with nonlinear parametrizations such as deep networks.
no code implementations • 15 Sep 2022 • Paul Schwerdtner, Matthias Voigt
In constrast to that, our method computes pH controllers, that are automatically passive and simultaneously aim to minimize the H-infinity norm of the closed-loop transfer function.
no code implementations • 12 Sep 2022 • Paul Schwerdtner, Manuel Schaller
We develop an optimization-based algorithm for parametric model order reduction (PMOR) of linear time-invariant dynamical systems.
no code implementations • 8 Jun 2022 • Tim Moser, Paul Schwerdtner, Volker Mehrmann, Matthias Voigt
Our parameterization ensures that the reduced model is again a pH-DAE system and enables a compact representation of the algebraic part of the large-scale model, which in projection-based methods often requires a more involved treatment.
no code implementations • 21 Jun 2021 • Paul Schwerdtner, Matthias Voigt
We present an adaptive sampling strategy for the optimization-based structure preserving model order reduction (MOR) algorithm developed in [Schwerdtner, P. and Voigt, M. (2020).
no code implementations • 21 Jun 2021 • Paul Schwerdtner
The numerical evaluation demonstrates a substantial increase in accuracy of our method compared to the other pH identification procedure and a slightly improved accuracy compared to vector-fitting.
no code implementations • 15 Nov 2020 • Paul Schwerdtner, Matthias Voigt
The structural constraints can be encoded in the parametrization of the ROM.
no code implementations • 9 Nov 2020 • Paul Schwerdtner, Florens Greßner, Nikhil Kapoor, Felix Assion, René Sass, Wiebke Günther, Fabian Hüger, Peter Schlicht
In this paper we propose a framework for assessing the risk associated with deploying a machine learning model in a specified environment.