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 …
Many decision problems in science, engineering, and economics are affected by uncertain parameters whose distribution is only indirectly observable through samples. The goal of …
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 …
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 …
We study statistical inference and distributionally robust solution methods for stochastic optimization problems, focusing on confidence intervals for optimal values and solutions that …
C Zhao, Y Guan - Operations Research Letters, 2018 - Elsevier
In this paper, we study a data-driven risk-averse stochastic optimization approach with Wasserstein Metric for the general distribution case. By using the Wasserstein Metric, we …
The topic of this book is multistage stochastic optimization. Multistage reflects the fact that an optimal decision is an entire strategy or policy, which is executed during subsequent instants …
We provide an exact deterministic reformulation for data-driven, chance-constrained programs over Wasserstein balls. For individual chance constraints as well as joint chance …