0000000000627815

AUTHOR

P. Loridan

showing 3 related works from this author

Least-Norm Regularization For Weak Two-Level Optimization Problems

1992

In this paper, we consider a regularization for weak two-level optimization problems by adaptation of the method presented by Solohovic (1970). Existence and approximation results are given in the case in which the constraints to the lower level problems are described by a multifunction. Convergence results for the least-norm regularization under perturbations are also presented.

Mathematical optimizationOptimization problemNorm (mathematics)Proximal gradient methods for learningRegularization perspectives on support vector machinesBackus–Gilbert methodRegularization (mathematics)Mathematics
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Regularizations for Two-Level Optimization Problems

1992

Let X and Y be two non empty subsets of finite dimensional euclidian spaces U and Y, f1 and f2 two functionals defined on XxY and valued in ℝ U {+ ∞}.

Pure mathematicsOptimization problemMathematics
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Approximate solutions for two-level optimization problems

1988

This paper is devoted to general results for approximating two-level optimization problems in which the set of solutions to the lower level problem is not a singleton.

Set (abstract data type)Mathematical optimizationOptimization problemStackelberg solutionSingletonApproximate solutionMathematics
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