Robust approximation of chance constrained optimization with polynomial perturbation
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Publication:6642796
DOI10.1007/s10589-024-00602-7MaRDI QIDQ6642796
Guangming Zhou, Liu Yang, Suhan Zhong, Bo Rao
Publication date: 25 November 2024
Published in: Computational Optimization and Applications (Search for Journal in Brave)
Semidefinite programming (90C22) Stochastic programming (90C15) Approximation methods and heuristics in mathematical programming (90C59) Mathematical programming (90Cxx) Robustness in mathematical programming (90C17)
Cites Work
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- Optimality conditions and finite convergence of Lasserre's hierarchy
- A smoothing function approach to joint chance-constrained programs
- The \(\mathcal A\)-truncated \(K\)-moment problem
- Robust optimization approximation for joint chance constrained optimization problem
- Linear optimization with cones of moments and nonnegative polynomials
- Semidefinite representation of convex sets
- On the complexity of Putinar's Positivstellensatz
- Sample average approximation method for chance constrained programming: Theory and applications
- Robust solutions of linear programming problems contaminated with uncertain data
- Data-driven robust optimization
- A stochastic approximation method for approximating the efficient frontier of chance-constrained nonlinear programs
- Partial sample average approximation method for chance constrained problems
- Certifying convergence of Lasserre's hierarchy via flat truncation
- Convex relaxations of chance constrained optimization problems
- Global Optimization with Polynomials and the Problem of Moments
- Chance-Constrained Optimal Power Flow: Risk-Aware Network Control under Uncertainty
- Sequential Convex Approximations to Joint Chance Constrained Programs: A Monte Carlo Approach
- GloptiPoly 3: moments, optimization and semidefinite programming
- A Sample Approximation Approach for Optimization with Probabilistic Constraints
- The Price of Robustness
- Convexity in SemiAlgebraic Geometry and Polynomial Optimization
- Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
- Probabilistic Guarantees in Robust Optimization
- Algebraic Degree of Polynomial Optimization
- The Scenario Approach to Robust Control Design
- Probabilistically Constrained Linear Programs and Risk-Adjusted Controller Design
- A Kinship Function Approach to Robust and Probabilistic Optimization Under Polynomial Uncertainty
- Convex Approximations of Chance Constrained Programs
- Semidefinite Programming For Chance Constrained Optimization Over Semialgebraic Sets
- Moment and Polynomial Optimization
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