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 …

Wasserstein distributionally robust optimization: Theory and applications in machine learning

D Kuhn, PM Esfahani, VA Nguyen… - … science in the age …, 2019 - pubsonline.informs.org
Many decision problems in science, engineering, and economics are affected by uncertain
parameters whose distribution is only indirectly observable through samples. The goal of …

Smart “predict, then optimize”

AN Elmachtoub, P Grigas - Management Science, 2022 - pubsonline.informs.org
Many real-world analytics problems involve two significant challenges: prediction and
optimization. Because of the typically complex nature of each challenge, the standard …

A survey of network interdiction models and algorithms

JC Smith, Y Song - European Journal of Operational Research, 2020 - Elsevier
This paper discusses the development of interdiction optimization models and algorithms,
with an emphasis on mathematical programming techniques and future research challenges …

Inverse optimization: Theory and applications

TCY Chan, R Mahmood, IY Zhu - Operations Research, 2023 - pubsonline.informs.org
Inverse optimization describes a process that is the “reverse” of traditional mathematical
optimization. Unlike traditional optimization, which seeks to compute optimal decisions given …

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) …

Distributionally favorable optimization: A framework for data-driven decision-making with endogenous outliers

N Jiang, W Xie - SIAM Journal on Optimization, 2024 - SIAM
A typical data-driven stochastic program seeks the best decision that minimizes the sum of a
deterministic cost function and an expected recourse function under a given distribution …

Statistical analysis of Wasserstein distributionally robust estimators

J Blanchet, K Murthy… - Tutorials in Operations …, 2021 - pubsonline.informs.org
We consider statistical methods that invoke a min-max distributionally robust formulation to
extract good out-of-sample performance in data-driven optimization and learning problems …

Data-informed inverse design by product usage information: a review, framework and outlook

L Hou, RJ Jiao - Journal of Intelligent Manufacturing, 2020 - Springer
A significant body of knowledge exists on inverse problems and extensive research has
been conducted on data-driven design in the past decade. This paper provides a …