Figure 8
A two-panel line chart showing p f and kernel weight factors versus number of added training samples.The image contains two panels labelled a and b. Panel a plots p f on the vertical axis from about 0.06 to 0.085 against the number of added training samples from 1 to 7 on the horizontal axis. A black dashed line labelled M C S result remains near 0.08 across all samples. A red line with open circle markers labelled ensemble model increases from about 0.071 at 1 sample to about 0.08 at 3 samples and then stays close to 0.08 through 7 samples. Panel b plots weight factors on the vertical axis from 0.1 to 0.5 against the number of added training samples from 1 to 7. Three lines are shown: a red solid line labelled squared exponential, a blue dashed line labelled Matern, and a magenta dashed line labelled A R D. The three lines vary across samples, with Matern generally higher after 3 samples, squared exponential fluctuating around mid values, and A R D starting lower, peaking near sample 2, then increasing again toward sample 7.

Iterative calculation results in Example 2

Note(s): (a) Variation in probability of failure, and (b) variation in the weight factors of each component GPR model

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