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 …

Optimization under uncertainty in the era of big data and deep learning: When machine learning meets mathematical programming

C Ning, F You - Computers & Chemical Engineering, 2019 - Elsevier
This paper reviews recent advances in the field of optimization under uncertainty via a
modern data lens, highlights key research challenges and promise of data-driven …

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 …

Integrated supplier selection, scheduling, and routing problem for perishable product supply chain: A distributionally robust approach

O Hashemi-Amiri, F Ghorbani, R Ji - Computers & Industrial Engineering, 2023 - Elsevier
Due to the global outbreak of COVID-19, the perishable product supply chains have been
impacted in different ways, and consequently, the risks of food insecurity have been …

Distributionally robust stochastic optimization with Wasserstein distance

R Gao, A Kleywegt - Mathematics of Operations Research, 2023 - pubsonline.informs.org
Distributionally robust stochastic optimization (DRSO) is an approach to optimization under
uncertainty in which, instead of assuming that there is a known true underlying probability …

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 …

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 …

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 …

[HTML][HTML] Distributionally robust optimization: A review on theory and applications

F Lin, X Fang, Z Gao - Numerical Algebra, Control and Optimization, 2022 - aimsciences.org
In this paper, we survey the primary research on the theory and applications of
distributionally robust optimization (DRO). We start with reviewing the modeling power and …