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 …
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 …
have developed significantly over the last decade. The statistical learning community has …
[HTML][HTML] Distributionally robust optimization: A review on theory and applications
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 …
distributionally robust optimization (DRO). We start with reviewing the modeling power and …
Finite-sample guarantees for Wasserstein distributionally robust optimization: Breaking the curse of dimensionality
R Gao - Operations Research, 2023 - pubsonline.informs.org
Wasserstein distributionally robust optimization (DRO) aims to find robust and generalizable
solutions by hedging against data perturbations in Wasserstein distance. Despite its recent …
solutions by hedging against data perturbations in Wasserstein distance. Despite its recent …
Humanitarian transportation network design via two-stage distributionally robust optimization
Natural disasters are highly unpredictable, with varying degrees of magnitude, and thus
require a reliable and robust humanitarian relief network. Faced with the adverse effects of …
require a reliable and robust humanitarian relief network. Faced with the adverse effects of …
Data-driven distributionally robust capacitated facility location problem
We study a distributionally robust version of the classical capacitated facility location
problem with a distributional ambiguity set defined as a Wasserstein ball around an …
problem with a distributional ambiguity set defined as a Wasserstein ball around an …
Sinkhorn distributionally robust optimization
We study distributionally robust optimization (DRO) with Sinkhorn distance--a variant of
Wasserstein distance based on entropic regularization. We derive convex programming …
Wasserstein distance based on entropic regularization. We derive convex programming …
Wasserstein distributionally robust optimization and variation regularization
Wasserstein distributionally robust optimization (DRO) is an approach to optimization under
uncertainty in which the decision maker hedges against a set of probability distributions …
uncertainty in which the decision maker hedges against a set of probability distributions …
Optimal transport-based distributionally robust optimization: Structural properties and iterative schemes
We consider optimal transport-based distributionally robust optimization (DRO) problems
with locally strongly convex transport cost functions and affine decision rules. Under …
with locally strongly convex transport cost functions and affine decision rules. Under …
Distributionally robust two-stage stochastic programming
Distributionally robust optimization is a popular modeling paradigm in which the underlying
distribution of the random parameters in a stochastic optimization model is unknown …
distribution of the random parameters in a stochastic optimization model is unknown …