Part of the latent space where the ANN projects the long period variables. The grey background shows the same density as in Fig. 13. In colour, we overplotted the sources which were published in the Gaia DR3 Variability catalogue as a candidate O-rich or C-type LPVs. The quantity ⟨Δλ⟩_RP was taken from the same catalogue (column name median_delta_wl_rp) and probes particular molecular bands in the RP spectrum (see text).