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 …
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 …
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 …
observable through a finite training dataset. Using the Wasserstein metric, we construct a …
[HTML][HTML] Distributionally robust optimization: A review on theory and applications
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 …
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 …
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 …
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 …
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
The everlasting consumption of fossil fuels with limited reserves amid climate change and
environmental pollution arises public awareness of sustainable development, which calls for …
environmental pollution arises public awareness of sustainable development, which calls for …
A survey of nonlinear robust optimization
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 …
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 …
in statistical learning, where robustness is with respect to ambiguity in the underlying data …