Research Topics and Interests
- Multiobjective combinatorial optimization
- Non-linear multiobjective optimization
- Simulation-based multiobjective optimization
- Efficient methods to compute representations of the set of non-dominated points
- Analysis of the local structure of the non-dominated set
- k-max objective functions
- Concepts of robustness
- Design of efficient neural networks
- Efficient optimization methods in neural network training
- Consensus-based optimization for global optimization problems
- Mean-field approximations of heuristic methods
- Convergence analysis
- First-order conditions in spaces without Hilbert structure
- Optimal control of probability measures (Wasserstein-metric)
- Interchangeability of optimization and mean-field limits
- Optimization for port-Hamiltonian systems
- Combinatorial optimization
- Assignment problems
- Knapsack problems
- Mixed-integer programming
- Network design problems
- Logistic
- Medical image analysis
- Durrmeyer type operators
- Kantorovich modifications
- Linking operators
- Strong converse results
- Voronovskaya type results
- Eigenstructure, spectral properties of positive linear operators
Last modified: 16.10.2024