274 citations · 1k across the 43 of their papers we have counts for
5 papers · 1 filter
On the structure of regularization paths for piecewise differentiable regularization terms
Bennet Gebken, Katharina Bieker, Sebastian Peitz
Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity.…
Finite-data error bounds for Koopman-based prediction and control
Feliks Nüske, Sebastian Peitz, Friedrich Philipp +2
The Koopman operator has become an essential tool for data-driven approximation of dynamical (control) systems, e.g., via extended dynamic mode decomposition. Despite its popularit…
Efficient time stepping for numerical integration using reinforcement learning
Michael Dellnitz, Eyke Hüllermeier, Marvin Lücke +4
Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamic…
Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models
Manuel Berkemeier, Sebastian Peitz
We present a flexible trust region descend algorithm for unconstrained and convexly constrained multiobjective optimization problems. It is targeted at heterogeneous and expensive…
On the Universal Transformation of Data-Driven Models to Control Systems
Sebastian Peitz, Katharina Bieker
The advances in data science and machine learning have resulted in significant improvements regarding the modeling and simulation of nonlinear dynamical systems. It is nowadays pos…