1. Augmenting a Simulation Campaign for Hybrid Computer Model and Field Data Experiments.
- Author
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Koermer, Scott, Loda, Justin, Noble, Aaron, and Gramacy, Robert B.
- Subjects
RARE earth metals ,HYBRID computer simulation ,GAUSSIAN processes ,BENCHMARK problems (Computer science) ,FIELD research - Abstract
The Kennedy and O'Hagan (KOH) calibration framework uses coupled Gaussian processes (GPs) to meta-model an expensive simulator (first GP), tune its "knobs" (calibration inputs) to best match observations from a real physical/field experiment and correct for any modeling bias (second GP) when predicting under new field conditions (design inputs). There are well-established methods for placement of design inputs for data-efficient planning of a simulation campaign in isolation, that is, without field data: space-filling, or via criterion like minimum integrated mean-squared prediction error (IMSPE). Analogues within the coupled GP KOH framework are mostly absent from the literature. Here we derive a closed form IMSPE criterion for sequentially acquiring new simulator data for KOH. We illustrate how acquisitions space-fill in design space, but concentrate in calibration space. Closed form IMSPE precipitates a closed-form gradient for efficient numerical optimization. We demonstrate that our KOH-IMSPE strategy leads to a more efficient simulation campaign on benchmark problems, and conclude with a showcase on an application to equilibrium concentrations of rare earth elements for a liquid–liquid extraction reaction. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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