The only difference is the possibility of a negative offset to the linear relationship. As this change can in principle lead to negative uncertainties, which is clearly unphysical, we set V (d) = 0.0001 if V (d) < 0. The error-based calibration plot for the LS-GCN 150k uncertainties fitted with Eqn. 7 is shown in Figure . The local calibration is clearly much better (a similar re-calibration could have been performed for the RF uncertainties) and the NLL is lowered to -0.48 (NLL sim = -0.46 ± 0.01). While the ρ rank does not change when doing a linear re-calibration, the simulated one is now in agreement with the observed (ρ rank = 0.23 vs. ρ sim rank = 0.24 ± 0.01) due to the more accurate uncertainty distribution. The average calibration metrics are practically unchanged (both A mis and the Z-metrics).