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1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans

Abstract : We present a regularization method to approach a solution of the pessimistic formulation of ill -posed bilevel problems . This allows to overcome the difficulty arising from the non uniqueness of the lower level problems solutions and responses. We prove existence of approximated solutions, give convergence result using Hoffman-like assumptions. We end with objective value error estimates.

keyword : bi-level optimization





Author: Maïtine Bergounioux - Mounir Haddou -

Source: https://hal.archives-ouvertes.fr/



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