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 …

Towards out-of-distribution generalization: A survey

J Liu, Z Shen, Y He, X Zhang, R Xu, H Yu… - arXiv preprint arXiv …, 2021 - arxiv.org
Traditional machine learning paradigms are based on the assumption that both training and
test data follow the same statistical pattern, which is mathematically referred to as …

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 …

Certifying some distributional robustness with principled adversarial training

A Sinha, H Namkoong, R Volpi, J Duchi - arXiv preprint arXiv:1710.10571, 2017 - arxiv.org
Neural networks are vulnerable to adversarial examples and researchers have proposed
many heuristic attack and defense mechanisms. We address this problem through the …

Quantifying distributional model risk via optimal transport

J Blanchet, K Murthy - Mathematics of Operations Research, 2019 - pubsonline.informs.org
This paper deals with the problem of quantifying the impact of model misspecification when
computing general expected values of interest. The methodology that we propose is …

Towards a theoretical framework of out-of-distribution generalization

H Ye, C Xie, T Cai, R Li, Z Li… - Advances in Neural …, 2021 - proceedings.neurips.cc
Generalization to out-of-distribution (OOD) data is one of the central problems in modern
machine learning. Recently, there is a surge of attempts to propose algorithms that mainly …

Regularization via mass transportation

S Shafieezadeh-Abadeh, D Kuhn… - Journal of Machine …, 2019 - jmlr.org
The goal of regression and classification methods in supervised learning is to minimize the
empirical risk, that is, the expectation of some loss function quantifying the prediction error …

Distributionally robust optimization and generalization in kernel methods

M Staib, S Jegelka - Advances in Neural Information …, 2019 - proceedings.neurips.cc
Distributionally robust optimization (DRO) has attracted attention in machine learning due to
its connections to regularization, generalization, and robustness. Existing work has …

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) …