Convex bilevel optimization problems

  • What is the bilevel optimization?

    Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another.
    The outer optimization task is commonly referred to as the upper-level optimization task, and the inner optimization task is commonly referred to as the lower-level optimization task..

  • Bilevel optimization is a special kind of optimization where one problem is embedded (nested) within another.
    The outer optimization task is commonly referred to as the upper-level optimization task, and the inner optimization task is commonly referred to as the lower-level optimization task.
Sep 24, 2015Abstract. An algorithm is presented for solving bilevel optimization problems with fully convex lower level problems. Convergence to a local 
In this paper we study convex bilevel optimization problems for which the inner level consists of minimization of the sum of smooth and nonsmooth functions. The outer level aims at minimizing a smooth and strongly convex function over the optimal solutions set of the inner problem.

What is simple bilevel optimization?

In this paper, we study a class of bilevel optimization problems, also known as simple bilevel optimization, where we minimize a smooth objective function over the optimal solution set of another convex constrained optimization problem

Several iterative methods have been developed for tackling this class of problems

What is the inner and outer level of convex bi-level optimization?

In this paper we study convex bi-level optimization problems for which the inner level consists of minimization of the sum of smooth and nonsmooth functions

The outer level aims at minimizing a smooth and strongly convex function over the optimal solutions set of the inner problem


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