6 papers
Novel insights into Pareto fronts in multiobjective topology optimization and a comparative study of scalarization strategies
Tom De Weer, Ole Sigmund, Gabriele Eichfelder
Topology optimization seeks structures that minimize an objective function subject to constraints. While extensive research has focused on single-objective formulations, design is…
Objective-Function Free Multi-Objective Optimization: Rate of Convergence and Performance of an Adagrad-like algorithm
Marianna De Santis, Gabriele Eichfelder, Margherita Porcelli
We propose an Adagrad-like algorithm for multi-objective unconstrained optimization that relies on the computation of a common descent direction only. Unlike classical local algori…
Set-based Robust Optimization of Uncertain Multiobjective Problems via Epigraphical Reformulations
Gabriele Eichfelder, Ernest Quintana
In this paper, we study a method for finding robust solutions to multiobjective optimization problems under uncertainty. We follow the set-based minmax approach for handling the un…
Relaxed dissipativity assumptions and a simplified algorithm for multiobjective MPC
Gabriele Eichfelder, Lars Grüne, Lisa Krügel +1
We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear s…
A Vectorization Scheme for Nonconvex Set Optimization Problems
Gabriele Eichfelder, Ernest Quintana, Stefan Rocktäschel
In this paper, we study a solution approach for set optimization problems with respect to the lower set less relation. This approach can serve as a base for numerically solving set…
An algorithm for computing Fréchet means on the sphere
Gabriele Eichfelder, Thomas Hotz, Johannes Wieditz
For most optimisation methods an essential assumption is the vector space structure of the feasible set. This condition is not fulfilled if we consider optimisation problems over t…