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Distributionally robust optimization

open access: yesActa Numerica
Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set, that is, a family of probability distributions consistent with any available structural or statistical ...
Daniel Kuhn 0001   +2 more
openaire   +4 more sources

Robust-to-Dynamics Optimization

open access: yesMathematics of Operations Research
A robust-to-dynamics optimization (RDO) problem is an optimization problem specified by two pieces of input: (i) a mathematical program (an objective function [Formula: see text] and a feasible set [Formula: see text]) and (ii) a dynamical system (a map [Formula: see text]).
Amir Ali Ahmadi, Oktay Günlük
openaire   +3 more sources

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.
Alexander Shapiro 0001   +2 more
openaire   +2 more sources

Twenty years of continuous multiobjective optimization in the twenty-first century

open access: yesEURO Journal on Computational Optimization, 2021
The survey highlights some of the research topics which have attracted attention in the last two decades within the area of mathematical optimization of multiple objective functions.
Gabriele Eichfelder
doaj   +1 more source

Causality and Robust Optimization

open access: yesCoRR, 2020
A decision-maker must consider cofounding bias when attempting to apply machine learning prediction, and, while feature selection is widely recognized as important process in data-analysis, it could cause cofounding bias. A causal Bayesian network is a standard tool for describing causal relationships, and if relationships are known, then adjustment ...
openaire   +2 more sources

Robust optimization ? methodology and applications [PDF]

open access: yesMathematical Programming, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aharon Ben-Tal, Arkadi Nemirovski
openaire   +2 more sources

Reducing Conservatism in Robust Optimization [PDF]

open access: yesINFORMS Journal on Computing, 2020
Summary: Although robust optimization is a powerful technique in dealing with uncertainty in optimization, its solutions can be too conservative. More specifically, it can lead to an objective value much worse than the nominal solution or even to infeasibility of the robust problem.
Ernst Roos, Dick den Hertog
openaire   +3 more sources

Spatiotemporal and quantitative analyses of phosphoinositides – fluorescent probe—and mass spectrometry‐based approaches

open access: yesFEBS Letters, EarlyView.
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho   +3 more
wiley   +1 more source

Robust Covariance Matrix Adaptation Evolution Strategy: Optimal Design of Magnetic Devices Considering Material Variation

open access: yesIEEE Access, 2023
Uncertainties caused by material variation can significantly impair the characteristics of devices. Therefore, it is important to design devices whose performance is not significantly damaged even when material variations occur. Robust optimization seeks
Akito Maruo, Hajime Igarashi
doaj   +1 more source

Mean robust optimization

open access: yesMathematical Programming
Robust optimization is a tractable and expressive technique for decision-making under uncertainty, but it can lead to overly conservative decisions when pessimistic assumptions are made on the uncertain parameters. Wasserstein distributionally robust optimization can reduce conservatism by being data-driven, but it often leads to very large problems ...
I. Wang (Irina)   +3 more
openaire   +4 more sources

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