For the LSR model, the posteriors were all very similar to the uncorrelated case, with MAP values all falling within ±0.1 eV for each model parameter. The DFT model showed more significant deviations when correlated priors were used. Detailed contour plots for all of the DFT and LSR models are in the supplementary data. The di↵erences between the prior and posterior were quantified using the Kullback-Leibler (KL) divergence test. Comparing the relative KL divergences gives a quantitative measure of the information gained from the experimental data.