Distributionally robust polynomial chance-constraints under mixture ambiguity sets
DOI10.1007/s10107-019-01434-8zbMath1469.41005arXiv1803.11500OpenAlexW2973367427WikidataQ127252618 ScholiaQ127252618MaRDI QIDQ2220666
Tillmann Weisser, Jean-Bernard Lasserre
Publication date: 25 January 2021
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.11500
Semidefinite programming (90C22) Numerical methods involving duality (49M29) Approximation methods and heuristics in mathematical programming (90C59) Reasoning under uncertainty in the context of artificial intelligence (68T37) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Approximation with constraints (41A29)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Data-driven chance constrained stochastic program
- Lebesgue decomposition in action via semidefinite relaxations
- Distributionally robust chance constrained optimization for economic dispatch in renewable energy integrated systems
- SOS approximations of nonnegative polynomials via simple high degree perturbations
- A mixture of mixture models for a classification problem: the unity measure error
- Convexity of chance constraints with independent random variables
- Exact mean integrated squared error
- A probabilistically constrained model predictive controller
- Distributionally robust joint chance constraints with second-order moment information
- Distributionally robust optimization with polynomial densities: theory, models and algorithms
- A distributionally robust perspective on uncertainty quantification and chance constrained programming
- On distributionally robust chance-constrained linear programs
- Computing Gaussian \& exponential measures of semi-algebraic sets
- Eventual convexity of probability constraints with elliptical distributions
- Ambiguous chance constrained problems and robust optimization
- Chance-Constrained Programming
- The $\mathbf {K}$-moment problem for continuous linear functionals
- Convex Computation of the Region of Attraction of Polynomial Control Systems
- A “Joint+Marginal” Approach to Parametric Polynomial Optimization
- Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems
- From CVaR to Uncertainty Set: Implications in Joint Chance-Constrained Optimization
- GloptiPoly 3: moments, optimization and semidefinite programming
- Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach
- Approximate Volume and Integration for Basic Semialgebraic Sets
- Ambiguous Joint Chance Constraints Under Mean and Dispersion Information
- On Deterministic Reformulations of Distributionally Robust Joint Chance Constrained Optimization Problems
- Convex Computation of the Maximum Controlled Invariant Set For Polynomial Control Systems
- Chance Constrained Programming with Joint Constraints
- Structural properties of linear probabilistic constraints
- Convex Approximations of Chance Constrained Programs
- Sums of Squares and Semidefinite Program Relaxations for Polynomial Optimization Problems with Structured Sparsity
- Semidefinite Programming For Chance Constrained Optimization Over Semialgebraic Sets
- Distributionally robust chance constraints for non-linear uncertainties