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Data-driven distributionally robust optimization using the Wasserstein metric: Performance guarantees and tractable reformulations
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 …
Regularization via mass transportation
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 …
empirical risk, that is, the expectation of some loss function quantifying the prediction error …
[BOK][B] Lectures on stochastic programming: modeling and theory
This is a substantial revision of the previous edition with added new material. The
presentation of Chapter 6 is updated. In particular the Interchangeability Principle for risk …
presentation of Chapter 6 is updated. In particular the Interchangeability Principle for risk …
Tutorial on risk neutral, distributionally robust and risk averse multistage stochastic programming
A Shapiro - European Journal of Operational Research, 2021 - Elsevier
In this tutorial we discuss several aspects of modeling and solving multistage stochastic
programming problems. In particular we discuss distributionally robust and risk averse …
programming problems. In particular we discuss distributionally robust and risk averse …
Conic programming reformulations of two-stage distributionally robust linear programs over Wasserstein balls
Adaptive robust optimization problems are usually solved approximately by restricting the
adaptive decisions to simple parametric decision rules. However, the corresponding …
adaptive decisions to simple parametric decision rules. However, the corresponding …
Optimum post-disruption restoration under uncertainty for enhancing critical infrastructure resilience
The planning of post-disruption restoration in critical infrastructure systems often relies on
deterministic assumptions such as complete information on resources and known duration …
deterministic assumptions such as complete information on resources and known duration …
Regularized and distributionally robust data-enabled predictive control
In this paper, we study a data-enabled predictive control (DeePC) algorithm applied to
unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted …
unknown stochastic linear time-invariant systems. The algorithm uses noise-corrupted …
Robust satisficing
We present a general framework for robust satisficing that favors solutions for which a risk-
aware objective function would best attain an acceptable target even when the actual …
aware objective function would best attain an acceptable target even when the actual …
Building disaster preparedness and response capacity in humanitarian supply chains using the Social Vulnerability Index
We present a novel humanitarian supply chain approach to address disaster preparedness
and build response capacity in humanitarian supply chains when people's vulnerability …
and build response capacity in humanitarian supply chains when people's vulnerability …
Robust vehicle pre‐allocation with uncertain covariates
Motivated by a leading taxi operator in Singapore, we consider the idle vehicle pre‐
allocation problem with uncertain demands and other uncertain covariate information such …
allocation problem with uncertain demands and other uncertain covariate information such …