274 citations · 1k across the 43 of their papers we have counts for
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Learning Bilinear Models of Actuated Koopman Generators from Partially-Observed Trajectories
Samuel E. Otto, Sebastian Peitz, Clarence W. Rowley
Data-driven models for nonlinear dynamical systems based on approximating the underlying Koopman operator or generator have proven to be successful tools for forecasting, feature l…
Multi-Objective Trust-Region Filter Method for Nonlinear Constraints using Inexact Gradients
Manuel Berkemeier, Sebastian Peitz
In this article, we build on previous work to present an optimization algorithm for nonlinearly constrained multi-objective optimization problems. The algorithm combines a surrogat…
Fast Multiobjective Gradient Methods with Nesterov Acceleration via Inertial Gradient-like Systems
Konstantin Sonntag, Sebastian Peitz
We derive efficient algorithms to compute weakly Pareto optimal solutions for smooth, convex and unconstrained multiobjective optimization problems in general Hilbert spaces. To th…
Towards reliable data-based optimal and predictive control using extended DMD
Manuel Schaller, Karl Worthmann, Friedrich Philipp +2
While Koopman-based techniques like extended Dynamic Mode Decomposition are nowadays ubiquitous in the data-driven approximation of dynamical systems, quantitative error estimates…
Koopman analysis of quantum systems
Stefan Klus, Feliks Nüske, Sebastian Peitz
Koopman operator theory has been successfully applied to problems from various research areas such as fluid dynamics, molecular dynamics, climate science, engineering, and biology.…