On distributionally robust chance constrained programs with Wasserstein distance
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Publication:2227531
DOI10.1007/s10107-019-01445-5zbMath1459.90141arXiv1806.07418OpenAlexW2987963462WikidataQ126800979 ScholiaQ126800979MaRDI QIDQ2227531
Publication date: 15 February 2021
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1806.07418
Mixed integer programming (90C11) Minimax problems in mathematical programming (90C47) Robustness in mathematical programming (90C17)
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Cites Work
- Unnamed Item
- Unnamed Item
- Data-driven chance constrained stochastic program
- On the rate of convergence in Wasserstein distance of the empirical measure
- Nonanticipative duality, relaxations, and formulations for chance-constrained stochastic programs
- Polymatroids and mean-risk minimization in discrete optimization
- Ambiguous risk constraints with moment and unimodality information
- Polyhedral results for a class of cardinality constrained submodular minimization problems
- Data-driven distributionally robust optimization using the Wasserstein metric: performance guarantees and tractable reformulations
- Distributionally robust joint chance constraints with second-order moment information
- Optimized Bonferroni approximations of distributionally robust joint chance constraints
- A distributionally robust perspective on uncertainty quantification and chance constrained programming
- On distributionally robust chance-constrained linear programs
- Stochastic dual dynamic integer programming
- Decomposition algorithm for distributionally robust optimization using Wasserstein metric with an application to a class of regression models
- Distributionally Robust Stochastic Knapsack Problem
- Chance-Constrained Binary Packing Problems
- Covering Linear Programming with Violations
- From CVaR to Uncertainty Set: Implications in Joint Chance-Constrained Optimization
- A Sample Approximation Approach for Optimization with Probabilistic Constraints
- Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach
- Minimizing a Submodular Function on a Lattice
- Ambiguous Joint Chance Constraints Under Mean and Dispersion Information
- On Deterministic Reformulations of Distributionally Robust Joint Chance Constrained Optimization Problems
- Ambiguous Chance-Constrained Binary Programs under Mean-Covariance Information
- Conic Programming Reformulations of Two-Stage Distributionally Robust Linear Programs over Wasserstein Balls
- Bicriteria Approximation of Chance-Constrained Covering Problems
- Quantifying Distributional Model Risk via Optimal Transport
- Robust Wasserstein profile inference and applications to machine learning
- The Scenario Approach to Robust Control Design
- Convex Approximations of Chance Constrained Programs
- Distributionally robust chance constraints for non-linear uncertainties
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