Optimization Group

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: 13.05.2022

Weitere Infos über #UniWuppertal: