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Efficient Emulation of Computer Models Utilising Multiple Known Boundaries of Differing Dimension

Jackson, Samuel E.; Vernon, Ian

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Sam Jackson samuel.e.jackson@durham.ac.uk
Assistant Professor



Abstract

Emulation has been successfully applied across a wide variety of scientific disciplines for efficiently analysing computationally intensive models. We develop known boundary emulation strategies which utilise the fact that, for many computer models, there exist hyperplanes in the input parameter space for which the model output can be evaluated far more efficiently, whether this be analytically or just significantly faster using a more efficient and simpler numerical solver. The information contained on these known hyperplanes, or boundaries, can be incorporated into the emulation process via analytical update, thus involving no additional computational cost. In this article, we show that such analytical updates are available for multiple boundaries of various dimensions. We subsequently demonstrate which configurations of boundaries such analytical updates are available for, in particular by presenting a set of conditions that such a set of boundaries must satisfy. We demonstrate the powerful computational advantages of the known boundary emulation techniques developed on both an illustrative low-dimensional simulated example and a scientifically relevant and high-dimensional systems biology model of hormonal crosstalk in the roots of an Arabidopsis plant.

Citation

Jackson, S. E., & Vernon, I. (2023). Efficient Emulation of Computer Models Utilising Multiple Known Boundaries of Differing Dimension. Bayesian Analysis, 18(1), 165-191. https://doi.org/10.1214/22-ba1304

Journal Article Type Article
Acceptance Date Jan 6, 2022
Online Publication Date Mar 17, 2022
Publication Date 2023-03
Deposit Date Jan 28, 2022
Publicly Available Date Apr 3, 2023
Journal Bayesian Analysis
Print ISSN 1936-0975
Electronic ISSN 1931-6690
Publisher International Society for Bayesian Analysis (ISBA)
Peer Reviewed Peer Reviewed
Volume 18
Issue 1
Pages 165-191
DOI https://doi.org/10.1214/22-ba1304

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