R. B. Gramacy and M. Taddy, "Categorical Inputs, Sensitivity Analysis, Optimization and Importance Tempering with tgp Version 2, an R Package for Treed Gaussian Process Models, Journal of Statistical Software, 2010, 33, pp. 1--48,
url = https://www.jstatsoft.org/v33/i06/
But see the vignette at https://cran.r-project.org/web/packages/tgp/index.html for a more up to date description that relates better to the task.
Task: The authors describe a sequential design of experiments strategy based on Treed Gaussian Processes (TGPs). Do not reiterate what they authors have written. Rather, write a report to illustrate and critically assess the authors' strategy by implementing examples; I will suggest one and you can choose another. The sequential method is only outlined, and initially you can iterate manually. Ideally, you will also produce R code that automates the iterative procedure.
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