Prediction results of the DynPop_nETGs sample with three features: M_⋆, r_1/2, and σ, as indicated in Figs. 9 and 10. Left panel: prediction made by correcting the r_1/2 of the Dynpop_nETGs by increasing 0.10 dex with MELA_ALL, as discussed in Sect. 5.2.1. This correction is applied due to a potential offset between observation and simulation, as shown in Fig. 16 top row. Right panel: prediction made by correcting both r_1/2 and M_⋆ of the nETGs (i.e., the training sample of MELA_NETG). Specifically, the r_1/2 is decreased by 0.14 dex, and the M_⋆ is decreased by 0.30 dex. The adjusted mass-size relation is shown in Fig. 16. This correction is applied because of the anticipated offset arising from different cosmology settings between simulation and observation, as discussed in Sect. 5.2.3. In comparison to Figs. 9 and 10, the prediction is observed to improve after these adjustments.