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Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning
9 references·13 citing·38 second hop
Wasserstein Distributionally Robust Optimization: Theory and Applications in Machine Learning (2019)Wasserstein Distributionally Robust Optim…Data-Driven Distributionally Robust Optimization Using the Wasserstein Metric: Performance Guarantees and Tractable Reformulations (2015)Data-Driven Distributionally …Distributionally robust multi-item newsvendor problems with multimodal demand distributions (2014)Distributionally robust multi…Distributionally robust joint chance constraints with second-order moment information (2011)Distributionally robust joint…Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems (2010)Distributionally Robust Optim…The Optimizer’s Curse: Skepticism and Postdecision Surprise in Decision Analysis (2006)The Optimizer’s Curse: Skepti…On Distributionally Robust Chance-Constrained Linear Programs (2006)On Distributionally Robust Ch…Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach (2003)Worst-Case Value-At-Risk and …Monte Carlo Sampling Methods (2003)Monte Carlo Sampling MethodsThe Markowitz Optimization Enigma: Is ‘Optimized’ Optimal? (1989)The Markowitz Optimization En…A Robust Optimization Approach to Reliable Statistical Inference with Variables Generated by Machine Learning (2025)A Robust Optimization Approac…Residuals-based distributionally robust optimization with covariate information (2023)Residuals-based distributiona…Optimal Robust Policy for Feature-Based Newsvendor (2023)Optimal Robust Policy for Fea…Wasserstein Distributionally Robust Optimization and Variation Regularization (2022)Wasserstein Distributionally …Robust and Distributionally Robust Optimization Models for Linear Support Vector Machine (2022)Robust and Distributionally R…Finite-Sample Guarantees for Wasserstein Distributionally Robust Optimization: Breaking the Curse of Dimensionality (2022)Finite-Sample Guarantees for …Distributionally Robust Losses for Latent Covariate Mixtures (2022)Distributionally Robust Losse…A robust omnichannel pricing and ordering optimization approach with return policies based on data-driven support vector clustering (2022)A robust omnichannel pricing …Distributionally Robust Optimization: A review on theory and applications (2021)Distributionally Robust Optim…Distributionally Robust Conditional Quantile Prediction with Fixed Design (2021)Distributionally Robust Condi…A Statistical Test for Probabilistic Fairness (2021)A Statistical Test for Probab…Distributionally Robust Learning (2020)Distributionally Robust Learn…A Distributionally Robust Approach to Fair Classification (2020)A Distributionally Robust App…Stochastic Approximation Methods for Constrained and Unconstrained Systems (1978)The Sample Average Approximation Method for Stochastic Discrete Optimization (2002)Bayesian Analysis of DSGE Models (2007)Sample Average Approximation Method for Chance Constrained Programming: Theory and Applications (2009)Frameworks and Results in Distributionally Robust Optimization (2022)Deterministic Equivalents for Optimizing and Satisficing under Chance Constraints (1963)Stochastic Programming (1995)Robust solutions of uncertain linear programs (1999)Data-driven chance constrained stochastic program (2015)Optimization under uncertainty in the era of big data and deep learning: When machine learning meets mathematical programming (2019)Studies in Mathematical Theory of Inventory and Production (1959)Robust Convex Optimization (1998)Optimization of conditional value-at-risk (2000)Recent advances in robust optimization: An overview (2013)Distributionally Robust Convex Optimization (2014)Global Portfolio Optimization (1992)Martingale Methods in Financial Modelling (1997)Robust Portfolio Selection Problems (2003)Distributionally Robust Optimization and Its Tractable Approximations (2010)60 Years of portfolio optimization: Practical challenges and current trends (2013)Distributionally Robust Stochastic Optimization with Wasserstein Distance (2022)Risk, Ambiguity, and the Savage Axioms (1961)Coherent Measures of Risk (1999)Conic Programming Reformulations of Two-Stage Distributionally Robust Linear Programs over Wasserstein Balls (2018)Robust Stochastic Optimization Made Easy with RSOME (2020)Robust Optimization (2009)Disappointment in Decision Making Under Uncertainty (1985)The Winner's Curse: Paradoxes and Anomalies of Economic Life. (1993)The barriers to effective global talent management: The example of corporate élites in MNEs (2009)The Price of Robustness (2004)Data-driven robust optimization (2017)Introduction to Stochastic Programming (2011)Distributional robustness and lateral transshipment for disaster relief logistics planning under demand ambiguity (2022)Higher-order moments in portfolio selection problems: A comprehensive literature review (2023)Two-stage distributionally robust optimization for disaster relief logistics under option contract and demand ambiguity (2023)Improved estimation of the covariance matrix of stock returns with an application to portfolio selection (2003)Risk Reduction in Large Portfolios: Why Imposing the Wrong Constraints Helps (2003)An Engine, Not a Camera (2006)
this work references cited by second hop

References

  • 2010Distributionally Robust Optimization Under Moment Uncertainty with Application to Data-Driven Problems1,910 cited
  • 2015Data-Driven Distributionally Robust Optimization Using the Wasserstein Metric: Performance Guarantees and Tractable Reformulations1,869 cited
  • 1989The Markowitz Optimization Enigma: Is ‘Optimized’ Optimal?1,333 cited
  • 2003Monte Carlo Sampling Methods916 cited
  • 2003Worst-Case Value-At-Risk and Robust Portfolio Optimization: A Conic Programming Approach663 cited
  • 2011Distributionally robust joint chance constraints with second-order moment information629 cited
  • 2006On Distributionally Robust Chance-Constrained Linear Programs509 cited
  • 2006The Optimizer’s Curse: Skepticism and Postdecision Surprise in Decision Analysis314 cited
  • 2014Distributionally robust multi-item newsvendor problems with multimodal demand distributions166 cited

Cited by

  • 2021Distributionally Robust Optimization: A review on theory and applications141 cited
  • 2022Wasserstein Distributionally Robust Optimization and Variation Regularization101 cited
  • 2022Finite-Sample Guarantees for Wasserstein Distributionally Robust Optimization: Breaking the Curse of Dimensionality77 cited
  • 2023Residuals-based distributionally robust optimization with covariate information51 cited
  • 2021

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Distributionally Robust Conditional Quantile Prediction with Fixed Design
45 cited
  • 2022Robust and Distributionally Robust Optimization Models for Linear Support Vector Machine45 cited
  • 2020Distributionally Robust Learning44 cited
  • 2022Distributionally Robust Losses for Latent Covariate Mixtures41 cited
  • 2023Optimal Robust Policy for Feature-Based Newsvendor41 cited
  • 2022A robust omnichannel pricing and ordering optimization approach with return policies based on data-driven support vector clustering38 cited
  • 2021A Statistical Test for Probabilistic Fairness28 cited
  • 2020A Distributionally Robust Approach to Fair Classification18 cited
  • 2025A Robust Optimization Approach to Reliable Statistical Inference with Variables Generated by Machine Learning1 cited