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Calibrating Optimization under Uncertainty

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Calibrating Optimization under Uncertainty
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Parameter Calibration for Optimization under Uncertainty
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39
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Optimization formulations to handle decision-making under uncertainty often contain parameters needed to be calibrated from data. Examples include uncertainty set sizes in robust optimization, and Monte Carlo sample sizes in constraint sampling or scenario generation. We investigate strategies to select good parameter values based on data splitting and the validation of their performances in terms of feasibility and optimality. We analyze the effectiveness of these strategies in relation to the complexity of the optimization class and problem dimension.