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 …

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 …

From predictive to prescriptive analytics

D Bertsimas, N Kallus - Management Science, 2020 - pubsonline.informs.org
We combine ideas from machine learning (ML) and operations research and management
science (OR/MS) in developing a framework, along with specific methods, for using data to …

Distributionally robust learning

R Chen, IC Paschalidis - Foundations and Trends® in …, 2020 - nowpublishers.com
This monograph develops a comprehensive statistical learning framework that is robust to
(distributional) perturbations in the data using Distributionally Robust Optimization (DRO) …

Data-driven optimization: A reproducing kernel hilbert space approach

D Bertsimas, N Koduri - Operations Research, 2022 - pubsonline.informs.org
We present two methods, based on regression in reproducing kernel Hilbert spaces, for
solving an optimization problem with uncertain parameters for which we have historical data …

Stochastic optimization forests

N Kallus, X Mao - Management Science, 2023 - pubsonline.informs.org
We study contextual stochastic optimization problems, where we leverage rich auxiliary
observations (eg, product characteristics) to improve decision making with uncertain …

Robust MDPs with k-Rectangular Uncertainty

S Mannor, O Mebel, H Xu - Mathematics of Operations …, 2016 - pubsonline.informs.org
Markov decision processes are a common tool for modeling sequential planning problems
under uncertainty. In almost all realistic situations, the system model cannot be perfectly …

Residuals-based distributionally robust optimization with covariate information

R Kannan, G Bayraksan, JR Luedtke - Mathematical Programming, 2024 - Springer
We consider data-driven approaches that integrate a machine learning prediction model
within distributionally robust optimization (DRO) given limited joint observations of uncertain …

Partial policy iteration for l1-robust markov decision processes

CP Ho, M Petrik, W Wiesemann - Journal of Machine Learning Research, 2021 - jmlr.org
Robust Markov decision processes (MDPs) compute reliable solutions for dynamic decision
problems with partially-known transition probabilities. Unfortunately, accounting for …