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Bayesian Distributionally Robust Optimization

open access: yesSIAM Journal on Optimization, 2023
We introduce a new framework, Bayesian Distributionally Robust Optimization (Bayesian-DRO), for data-driven stochastic optimization where the underlying distribution is unknown. Bayesian-DRO contrasts with most of the existing DRO approaches in the use of Bayesian estimation of the unknown distribution.
Enlu Zhou   +2 more
exaly   +3 more sources

Distributionally Robust Convex Optimization [PDF]

open access: yesOperations Research, 2014
Distributionally robust optimization is a paradigm for decision making under uncertainty where the uncertain problem data are governed by a probability distribution that is itself subject to uncertainty. The distribution is then assumed to belong to an ambiguity set comprising all distributions that are compatible with the decision maker’s prior ...
Melvyn Sim   +2 more
exaly   +2 more sources

From Data to Decisions: Distributionally Robust Optimization Is Optimal [PDF]

open access: yesManagement Science, 2021
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 distribution. In this setting, the goal is to find a procedure that transforms the data to an estimate of the expected cost function under the unknown data-generating ...
Peyman Mohajerin Esfahani   +2 more
exaly   +7 more sources
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Distributionally Robust Optimization in Possibilistic Setting

2021 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2021
In this paper a class of optimization problems with uncertain constraint coefficients is discussed. Namely, for each ill-known coefficient a possibility distribution, being a membership function of a fuzzy interval, is specified. In a possibilistic interpretation, the induced possibility distribution in the set of constraint coefficient realizations ...
Romain Guillaume   +2 more
openaire   +1 more source

Adaptive Distributionally Robust Optimization

Management Science, 2019
We develop a modular and tractable framework for solving an adaptive distributionally robust linear optimization problem, where we minimize the worst-case expected cost over an ambiguity set of probability distributions. The adaptive distributionally robust optimization framework caters for dynamic decision making, where decisions adapt to the ...
Dimitris Bertsimas   +2 more
openaire   +1 more source

Distributionally Robust Optimization

2021
The robust optimization methodology that we have introduced so far is built on a fundamental modeling approach, that is based on set-theoretic, deterministic uncertainty models.
Xu Andy Sun, Antonio J. Conejo
openaire   +1 more source

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