Search Results for author: Christian Offen

Found 5 papers, 5 papers with code

Hamiltonian Neural Networks with Automatic Symmetry Detection

1 code implementation19 Jan 2023 Eva Dierkes, Christian Offen, Sina Ober-Blöbaum, Kathrin Flaßkamp

Recently, Hamiltonian neural networks (HNN) have been introduced to incorporate prior physical knowledge when learning the dynamical equations of Hamiltonian systems.

Symmetry Detection Total Energy

Discrete Lagrangian Neural Networks with Automatic Symmetry Discovery

1 code implementation20 Nov 2022 Yana Lishkova, Paul Scherer, Steffen Ridderbusch, Mateja Jamnik, Pietro Liò, Sina Ober-Blöbaum, Christian Offen

By one of the most fundamental principles in physics, a dynamical system will exhibit those motions which extremise an action functional.

Efficient time stepping for numerical integration using reinforcement learning

1 code implementation8 Apr 2021 Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, Karlson Pfannschmidt

While the classical schemes apply very generally and are highly efficient on regular systems, they can behave sub-optimal when an inefficient step rejection mechanism is triggered by structurally complex systems such as chaotic systems.

Meta-Learning Numerical Integration +2

Learning ODE Models with Qualitative Structure Using Gaussian Processes

1 code implementation10 Nov 2020 Steffen Ridderbusch, Christian Offen, Sina Ober-Blöbaum, Paul Goulart

Recent advances in learning techniques have enabled the modelling of dynamical systems for scientific and engineering applications directly from data.

Gaussian Processes

Backward error analysis for variational discretisations of partial differential equations

1 code implementation25 Jun 2020 Robert I McLachlan, Christian Offen

Therefore, we study symmetric solutions of discretized partial differential equations that arise from a discrete variational principle.

Numerical Analysis Numerical Analysis 65D30, 70H25, 70H50, 35A15, 35B06, 35C07, 37K58

Cannot find the paper you are looking for? You can Submit a new open access paper.