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A primal nonsmooth reformulation for bilevel optimization problems (Q2693646)

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Language	Label	Description	Also known as
English	A primal nonsmooth reformulation for bilevel optimization problems	scientific article

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scholarly article

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A primal nonsmooth reformulation for bilevel optimization problems (English)

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Sandra Augusta Santos

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Lucas E. A. Simões

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Elias Salomão Helou

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Mathematical Programming. Series A. Series B

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publication date

24 March 2023

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zbMATH Keywords

bilevel optimization

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nonsmooth optimization

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nonlinear optimization

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10107-021-01764-6

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Solving bilevel programs with the KKT-approach

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Practical bilevel optimization. Algorithms and applications

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A bilevel programming approach to determining tax credits for biofuel production

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A Robust Gradient Sampling Algorithm for Nonsmooth, Nonconvex Optimization

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Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization

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An overview of bilevel optimization

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Optimizing Frequencies in a Transit Network: a Nonlinear Bi‐level Programming Approach

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A BFGS-SQP method for nonsmooth, nonconvex, constrained optimization and its evaluation using relative minimization profiles

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Foundations of bilevel programming

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Is bilevel programming a special case of a mathematical program with complementarity constraints?

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On the solution of convex bilevel optimization problems

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The bilevel programming problem: reformulations, constraint qualifications and optimality conditions

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Bilevel programming with convex lower level problems

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Gauss-Newton-type methods for bilevel optimization

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Solving mathematical programs with equilibrium constraints

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Reformulation of the M-Stationarity Conditions as a System of Discontinuous Equations and Its Solution by a Semismooth Newton Method

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On the local convergence analysis of the gradient sampling method for finite max-functions

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A fast gradient and function sampling method for finite-max functions

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A New Sequential Optimality Condition for Constrained Nonsmooth Optimization

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ϵ-subgradient algorithms for bilevel convex optimization

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On perturbed steepest descent methods with inexact line search for bilevel convex optimization

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Double penalty method for bilevel optimization problems

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A Bilevel Optimization Approach for Parameter Learning in Variational Models

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A Bilevel Model of Taxation and Its Application to Optimal Highway Pricing

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A bridge between bilevel programs and Nash games

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Numerically tractable optimistic bilevel problems

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Nonsmooth optimization via quasi-Newton methods

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Bilevel Optimization with Nonsmooth Lower Level Problems

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A First Order Method for Solving Convex Bilevel Optimization Problems

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The steepest descent direction for the nonlinear bilevel programming problem

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An inertial extrapolation method for convex simple bilevel optimization

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A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems

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Descent approaches for quadratic bilevel programming

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An inexact Newton method for stationary points of mathematical programs constrained by parameterized quasi-variational inequalities

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New Necessary Optimality Conditions for Bilevel Programs by Combining the MPEC and Value Function Approaches

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Optimality conditions for bilevel programming problems

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Theoretical and numerical comparison of the Karush-Kuhn-Tucker and value function reformulations in bilevel optimization

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BOLIB: Bilevel Optimization LIBrary of Test Problems

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10107-021-01764-6

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Sitelinks

Mathematics(1 entry)

mardi Publication:2693646

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