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Figure 2
An example of an iteration of a Bayesian optimization algorithm trying to maximize the negated Himmelblau function f(x1, x2) = [-(x_{1}^{2} + x_{2} - 11)^{2} - (x_{1} + x_{2}^{2} -7)^{2}], whose true global optima are marked as white circles. Using existing data points (far left) and the assumption that the function is distributed as a GP, we can use Bayesian inference to compute a posterior consisting of a mean (center left) and error (center right), upon which we can compute an acquisition function (far right) which informs us of the best points to sample. The black-edged diamonds superimposed on the acquisition function show the best eight points to sample, optimized in parallel and with the optimal routing represented by the red line.

Journal logoJOURNAL OF
SYNCHROTRON
RADIATION
ISSN: 1600-5775
Volume 31| Part 6| November 2024| Pages 1446-1456
https://doi.org/10.1107/S1600577524008993
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