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[01548] Quadratically Regularized Bilevel Optimal Transport

  • Session Time & Room : 2C (Aug.22, 13:20-15:00) @F411
  • Type : Contributed Talk
  • Abstract : We study the effect of an $L^2$ regularization to an optimal control problem that is constrained by the Kantorovich problem of optimal transport. We present a class of possible applications by means of a toy problem. Using a reverse approximation argument, we discuss the approximability of solutions of the unregularized problem by a sequence of solutions of the regularized problems.
  • Classification : 49Q22, 90C08, 49J45
  • Format : Talk at Waseda University
  • Author(s) :
    • Sebastian Hillbrecht (Technische Universität Dortmund)
    • Christian Meyer (Technische Universität Dortmund)
    • Paul Manns (Technische Universität Dortmund)