preference

Riemannian Dueling Optimization

  • Yuxuan Ren
  • Abhishek Roy
  • Shiqian Ma
    • Categories Nonlinear Optimization Tags , , ,

    Dueling optimization considers optimizing an objective with access to only a comparison oracle of the objective function. It finds important applications in emerging fields such as recommendation systems and robotics. Existing works on dueling optimization mainly focused on unconstrained problems in the Euclidean space. In this work, we study dueling optimization over Riemannian manifolds, which … Read more

    Necessary optimality conditions for multiobjective bilevel programs

  • Jane J. Ye
    • Categories Game Theory, Multi-Criteria Optimization, Nonsmooth Optimization Tags , ,

    The multiobjective bilevel program is a sequence of two optimization problems where the upper level problem is multiobjective and the constraint region of the upper level problem is determined implicitly by the solution set to the lower level problem. In the case where the Karush-Kuhn-Tucker (KKT) condition is necessary and sufficient for global optimality of … Read more