4 results for "Sebastian Peitz"

A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction

Sebastian Peitz; Michael Dellnitz

Mathematical and Computational Applications, Vol. 23 No. 2 · 2018 · English · DOAJ Scopus

Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set of optimal compromises (the Pareto set) between…

Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models

Manuel Berkemeier; Sebastian Peitz

Mathematical and Computational Applications, Vol. 26 No. 2 · 2021 · English · DOAJ Scopus

We present a local trust region descent algorithm for unconstrained and convexly constrained multiobjective optimization problems. It is targeted at heterogeneous and expensive problems, i.e., problems that have at least one objective function that is computationally expensive. Convergence to a…

A multiobjective continuation method to compute the regularization path of deep neural networks

Augustina Chidinma Amakor; Konstantin Sonntag; Sebastian Peitz

Machine Learning with Applications, Vol. 19 · 2025 · English · DOAJ Scopus

Sparsity is a highly desired feature in deep neural networks (DNNs) since it ensures numerical efficiency, improves the interpretability (due to the smaller number of relevant features), and robustness. For linear models, it is well known that there exists a regularization path connecting the…

Data-driven approximation of the Koopman generator: Model reduction, system identification, and control

Stefan Klus; Feliks Nüske; Sebastian Peitz et al.

Physica D Nonlinear Phenomena · 2020 · English · OpenAlex Scopus