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 …

On the need for a language describing distribution shifts: Illustrations on tabular datasets

J Liu, T Wang, P Cui… - Advances in Neural …, 2024 - proceedings.neurips.cc
Different distribution shifts require different algorithmic and operational interventions.
Methodological research must be grounded by the specific shifts they address. Although …

Data-enabled predictive control: In the shallows of the DeePC

J Coulson, J Lygeros, F Dörfler - 2019 18th European Control …, 2019 - ieeexplore.ieee.org
We consider the problem of optimal trajectory tracking for unknown systems. A novel data-
enabled predictive control (DeePC) algorithm is presented that computes optimal and safe …

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 …

Distributionally robust chance constrained data-enabled predictive control

J Coulson, J Lygeros, F Dörfler - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this article we study the problem of finite-time constrained optimal control of unknown
stochastic linear time-invariant (LTI) systems, which is the key ingredient of a predictive …

Robust Wasserstein profile inference and applications to machine learning

J Blanchet, Y Kang, K Murthy - Journal of Applied Probability, 2019 - cambridge.org
We show that several machine learning estimators, including square-root least absolute
shrinkage and selection and regularized logistic regression, can be represented as …

[HTML][HTML] Distributionally robust optimization: A review on theory and applications

F Lin, X Fang, Z Gao - Numerical Algebra, Control and Optimization, 2022 - aimsciences.org
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 …

Robust federated learning: The case of affine distribution shifts

A Reisizadeh, F Farnia, R Pedarsani… - Advances in Neural …, 2020 - proceedings.neurips.cc
Federated learning is a distributed paradigm that aims at training models using samples
distributed across multiple users in a network while keeping the samples on users' devices …

Distributionally Robust -Learning

Z Liu, Q Bai, J Blanchet, P Dong, W Xu… - International …, 2022 - proceedings.mlr.press
Reinforcement learning (RL) has demonstrated remarkable achievements in simulated
environments. However, carrying this success to real environments requires the important …