My research focus is on sequential design of experiments and modeling. I am currently working on designing a method that will balance searching for features of the response and exploring the entire space. Output from earlier points are used to keep an updated model of the surface which helps guide the search. We incorporate ideas from designs that have desirable properties, minimum energy, and Gaussian process modeling.
An example of what I’m working on can be seen on this Shiny app.
Comparison of Gaussian process modeling software
C. B. Erickson, B. E. Ankenman, S. M. Sanchez, Comparison of Gaussian process modeling software, In European Journal of Operational Research, 2017, ISSN 0377-2217, https://doi.org/10.1016/j.ejor.2017.10.002.