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 …

[HTML][HTML] 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 …

[HTML][HTML] 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 …

[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 …

From data to decisions: Distributionally robust optimization is optimal

BPG Van Parys, PM Esfahani… - Management Science, 2021 - pubsonline.informs.org
We study stochastic programs where the decision maker cannot observe the distribution of
the exogenous uncertainties but has access to a finite set of independent samples from this …

[HTML][HTML] Data-driven distributionally robust chance-constrained optimization with Wasserstein metric

R Ji, MA Lejeune - Journal of Global Optimization, 2021 - Springer
We study distributionally robust chance-constrained programming (DRCCP) optimization
problems with data-driven Wasserstein ambiguity sets. The proposed algorithmic and …

Portfolio optimization with entropic value-at-risk

A Ahmadi-Javid, M Fallah-Tafti - European Journal of Operational Research, 2019 - Elsevier
The entropic value-at-risk (EVaR) is a new coherent risk measure, which is an upper bound
for both the value-at-risk (VaR) and conditional value-at-risk (CVaR). One of the important …

[图书][B] Modeling and optimization of interdependent energy infrastructures

W Wei, J Wang - 2020 - Springer
The everlasting consumption of fossil fuels with limited reserves amid climate change and
environmental pollution arises public awareness of sustainable development, which calls for …

A survey of nonlinear robust optimization

S Leyffer, M Menickelly, T Munson… - INFOR: Information …, 2020 - Taylor & Francis
Robust optimization (RO) has attracted much attention from the optimization community over
the past decade. RO is dedicated to solving optimization problems subject to uncertainty …

A stochastic subgradient method for distributionally robust non-convex and non-smooth learning

M Gürbüzbalaban, A Ruszczyński, L Zhu - Journal of Optimization Theory …, 2022 - Springer
We consider a distributionally robust formulation of stochastic optimization problems arising
in statistical learning, where robustness is with respect to ambiguity in the underlying data …