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 …

Conic programming reformulations of two-stage distributionally robust linear programs over Wasserstein balls

GA Hanasusanto, D Kuhn - Operations Research, 2018 - pubsonline.informs.org
Adaptive robust optimization problems are usually solved approximately by restricting the
adaptive decisions to simple parametric decision rules. However, the corresponding …

Optimal robust policy for feature-based newsvendor

L Zhang, J Yang, R Gao - Management Science, 2024 - pubsonline.informs.org
We study policy optimization for the feature-based newsvendor, which seeks an end-to-end
policy that renders an explicit mapping from features to ordering decisions. Most existing …

Two-stage sample robust optimization

D Bertsimas, S Shtern, B Sturt - Operations Research, 2022 - pubsonline.informs.org
We investigate a simple approximation scheme, based on overlapping linear decision rules,
for solving data-driven two-stage distributionally robust optimization problems with the type …

Dynamic optimization with side information

D Bertsimas, C McCord, B Sturt - European Journal of Operational …, 2023 - Elsevier
We develop a tractable and flexible data-driven approach for incorporating side information
into multi-stage stochastic programming. The proposed framework uses predictive machine …

Distributionally robust optimization with infinitely constrained ambiguity sets

Z Chen, M Sim, H Xu - Operations Research, 2019 - pubsonline.informs.org
We consider a distributionally robust optimization problem where the ambiguity set of
probability distributions is characterized by a tractable conic representable support set and …

Quantitative stability analysis for minimax distributionally robust risk optimization

A Pichler, H Xu - Mathematical Programming, 2022 - Springer
This paper considers distributionally robust formulations of a two stage stochastic
programming problem with the objective of minimizing a distortion risk of the minimal cost …

[PDF][PDF] Decision-making with side information: A causal transport robust approach

J Yang, L Zhang, N Chen, R Gao… - Optimization Online, 2022 - optimization-online.org
We consider stochastic optimization with side information where, prior to decision-making,
covariate data are available to inform better decisions. To hedge against data uncertainty …

Distributionally robust equilibrium for continuous games: Nash and Stackelberg models

Y Liu, H Xu, SJS Yang, J Zhang - European Journal of Operational …, 2018 - Elsevier
We develop several distributionally robust equilibrium models, following the recent research
surge of robust game theory, in which some or all of the players in the games lack of …