Fig. 3: Descriptor generation and performance.

a Pareto front of MAE vs. complexity of 8640 mathematical formulas shown via density plot. b VRHE vs. μ/t (black diamonds: conventional perovskites; red dots: new perovskites). The current densities are normalised by BET surface areas (Supplementary Table 2) and loading amount. c Figure 2 from the study of Suntiviich et al.9 reproduced with permission from the American Association for the Advancement of Science. d Reformatted plot according to descriptor μ/t of c. The MAE (Pearson correlation coefficient) for c, d were 20.6 meV (0.923) and 21.0 meV (0.928), respectively.(The error bar in b is produced by the maximum and minimum values in experiments data).