Xavier Goudou

A dynamic gradient approach to Pareto optimization with nonsmooth nonconvex objective functions

  • Hédy Attouch
  • Guillaume Garrigos
  • Xavier Goudou
    • Categories Convex and Nonsmooth Optimization, Multi-Criteria Optimization

    In a general Hilbert framework, we consider continuous gradient-like dynamical systems for constrained multiobjective optimization involving non-smooth convex objective functions. Our approach is in the line of a previous work where was considered the case of convex di erentiable objective functions. Based on the Yosida regularization of the subdi erential operators involved in the system, we obtain … Read more

    A continuous gradient-like dynamical approach to Pareto-optimization in Hilbert spaces

  • Hédy Attouch
  • Xavier Goudou
    • Categories Applications - OR and Management Sciences, Convex and Nonsmooth Optimization, Multi-Criteria Optimization

    In a Hilbert space setting, we consider new continuous gradient-like dynamical systems for constrained multiobjective optimization. This type of dynamics was first investigated by Cl. Henry, and B. Cornet, as a model of allocation of resources in economics. Based on the Yosida regularization of the discontinuous part of the vector field which governs the system, … Read more