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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 …
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 …
adaptive decisions to simple parametric decision rules. However, the corresponding …
Optimal robust policy for feature-based newsvendor
We study policy optimization for the feature-based newsvendor, which seeks an end-to-end
policy that renders an explicit map** from features to ordering decisions. Most existing …
policy that renders an explicit map** from features to ordering decisions. Most existing …
Two-stage sample robust optimization
We investigate a simple approximation scheme, based on overlap** linear decision rules,
for solving data-driven two-stage distributionally robust optimization problems with the type …
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 …
into multi-stage stochastic programming. The proposed framework uses predictive machine …
Distributionally robust optimization with infinitely constrained ambiguity sets
We consider a distributionally robust optimization problem where the ambiguity set of
probability distributions is characterized by a tractable conic representable support set and …
probability distributions is characterized by a tractable conic representable support set and …
[PDF][PDF] Decision-making with side information: A causal transport robust approach
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 …
covariate data are available to inform better decisions. To hedge against data uncertainty …
Quantitative stability analysis for minimax distributionally robust risk optimization
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 …
programming problem with the objective of minimizing a distortion risk of the minimal cost …
Distributionally robust equilibrium for continuous games: Nash and Stackelberg models
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 …
surge of robust game theory, in which some or all of the players in the games lack of …
Robust optimization with decision-dependent information discovery
Robust optimization is a popular paradigm for modeling and solving two-and multi-stage
decision-making problems affected by uncertainty. In many real-world applications, the time …
decision-making problems affected by uncertainty. In many real-world applications, the time …