A proximal bundle method for constrained nonsmooth nonconvex optimization with inexact information
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Publication:1704913
DOI10.1007/s10898-017-0565-2zbMath1390.90448OpenAlexW2754366921MaRDI QIDQ1704913
Jian Lv, Li-Ping Pang, Fan-Yun Meng
Publication date: 13 March 2018
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-017-0565-2
nonsmooth optimizationconstrained optimizationnonconvex optimizationproximal bundle methodinexact oracle
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Cites Work
- Constrained incremental bundle method with partial inexact oracle for nonsmooth convex semi-infinite programming problems
- A feasible SQP-GS algorithm for nonconvex, nonsmooth constrained optimization
- Constrained nonconvex nonsmooth optimization via proximal bundle method
- Convex proximal bundle methods in depth: a unified analysis for inexact oracles
- On approximations with finite precision in bundle methods for nonsmooth optimization
- On constraint qualifications in nonsmooth optimization.
- Convex analysis and nonlinear optimization. Theory and examples.
- Computing proximal points of nonconvex functions
- A bundle-filter method for nonsmooth convex constrained optimization
- Incremental-like bundle methods with application to energy planning
- An inexact bundle variant suited to column generation
- Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization
- Error stability properties of generalized gradient-type algorithms
- Generalized semi-infinite optimization: A first order optimality condition and examples
- A bundle-Newton method for nonsmooth unconstrained minimization
- Bi-level strategies in semi-infinite programming.
- Approximate convexity and submonotonicity.
- Special backtracking proximal bundle method for nonconvex maximum eigenvalue optimization
- A quasi-second-order proximal bundle algorithm
- New variants of bundle methods
- The effect of deterministic noise in subgradient methods
- Methods of descent for nondifferentiable optimization
- Solving two-stage stochastic programming problems with level decomposition
- A Sequential Quadratic Programming Algorithm for Nonconvex, Nonsmooth Constrained Optimization
- A Redistributed Proximal Bundle Method for Nonconvex Optimization
- A New Exchange Method for Convex Semi-Infinite Programming
- Inexact Bundle Methods for Two-Stage Stochastic Programming
- Constrained Bundle Methods for Upper Inexact Oracles with Application to Joint Chance Constrained Energy Problems
- The Adaptive Convexification Algorithm: A Feasible Point Method for Semi-Infinite Programming
- A Method of Centers with Approximate Subgradient Linearizations for Nonsmooth Convex Optimization
- A Linearization Algorithm for Nonsmooth Minimization
- An Algorithm for Nonsmooth Convex Minimization With Errors
- A cutting-plane method for quadratic semi infinite programming problems
- Submonotone Subdifferentials of Lipschitz Functions
- A modification and an extension of Lemarechal’s algorithm for nonsmooth minimization
- An Algorithm for Constrained Optimization with Semismooth Functions
- A Central Cutting Plane Algorithm for Convex Semi-Infinite Programming Problems
- Variational Analysis
- An Algorithm for the Inequality-Constrained Discrete Min--Max Problem
- Minimizing Nonconvex Nonsmooth Functions via Cutting Planes and Proximity Control
- Convergence of Approximate and Incremental Subgradient Methods for Convex Optimization
- A DC piecewise affine model and a bundling technique in nonconvex nonsmooth minimization
- Restricted Step and Levenberg–Marquardt Techniques in Proximal Bundle Methods for Nonconvex Nondifferentiable Optimization
- Computation of the distance to semi-algebraic sets
- An Exact Penalty Function Algorithm for Non-smooth Convex Constrained Minimization Problems
- Convergence Analysis of Deflected Conditional Approximate Subgradient Methods
- An Infeasible Bundle Method for Nonsmooth Convex Constrained Optimization without a Penalty Function or a Filter
- A Proximal Bundle Method with Approximate Subgradient Linearizations
- Bundle Method for Non-Convex Minimization with Inexact Subgradients and Function Values
- A proximal bundle method based on approximate subgradients
- A proximal bundle method for nonsmooth nonconvex functions with inexact information
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