Distributionally robust optimization: A review

H Rahimian, S Mehrotra - arXiv preprint arXiv:1908.05659, 2019 - arxiv.org
The concepts of risk-aversion, chance-constrained optimization, and robust optimization
have developed significantly over the last decade. Statistical learning community has also …

Frameworks and results in distributionally robust optimization

H Rahimian, S Mehrotra - Open Journal of Mathematical Optimization, 2022 - numdam.org
The concepts of risk aversion, chance-constrained optimization, and robust optimization
have developed significantly over the last decade. The statistical learning community has …

Wasserstein distributionally robust optimization: Theory and applications in machine learning

D Kuhn, PM Esfahani, VA Nguyen… - … science in the age …, 2019 - pubsonline.informs.org
Many decision problems in science, engineering, and economics are affected by uncertain
parameters whose distribution is only indirectly observable through samples. The goal of …

Learning models with uniform performance via distributionally robust optimization

JC Duchi, H Namkoong - The Annals of Statistics, 2021 - projecteuclid.org
Learning models with uniform performance via distributionally robust optimization Page 1 The
Annals of Statistics 2021, Vol. 49, No. 3, 1378–1406 https://doi.org/10.1214/20-AOS2004 © …

Data-driven distributionally robust optimization using the Wasserstein metric: Performance guarantees and tractable reformulations

P Mohajerin Esfahani, D Kuhn - Mathematical Programming, 2018 - Springer
We consider stochastic programs where the distribution of the uncertain parameters is only
observable through a finite training dataset. Using the Wasserstein metric, we construct a …

Quantifying distributional model risk via optimal transport

J Blanchet, K Murthy - Mathematics of Operations Research, 2019 - pubsonline.informs.org
This paper deals with the problem of quantifying the impact of model misspecification when
computing general expected values of interest. The methodology that we propose is …

Statistics of robust optimization: A generalized empirical likelihood approach

JC Duchi, PW Glynn… - Mathematics of Operations …, 2021 - pubsonline.informs.org
We study statistical inference and distributionally robust solution methods for stochastic
optimization problems, focusing on confidence intervals for optimal values and solutions that …

Data-driven risk-averse stochastic optimization with Wasserstein metric

C Zhao, Y Guan - Operations Research Letters, 2018 - Elsevier
In this paper, we study a data-driven risk-averse stochastic optimization approach with
Wasserstein Metric for the general distribution case. By using the Wasserstein Metric, we …

[图书][B] Multistage stochastic optimization

GC Pflug, A Pichler - 2014 - Springer
The topic of this book is multistage stochastic optimization. Multistage reflects the fact that an
optimal decision is an entire strategy or policy, which is executed during subsequent instants …

Data-driven chance constrained programs over Wasserstein balls

Z Chen, D Kuhn, W Wiesemann - Operations Research, 2024 - pubsonline.informs.org
We provide an exact deterministic reformulation for data-driven, chance-constrained
programs over Wasserstein balls. For individual chance constraints as well as joint chance …