6533b828fe1ef96bd1288200

RESEARCH PRODUCT

Least-Norm Regularization For Weak Two-Level Optimization Problems

P. LoridanJacqueline Morgan

subject

Mathematical optimizationOptimization problemNorm (mathematics)Proximal gradient methods for learningRegularization perspectives on support vector machinesBackus–Gilbert methodRegularization (mathematics)Mathematics

description

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.

yearjournalcountryeditionlanguage
1992-01-01
https://doi.org/10.1007/978-3-0348-8625-3_28