- Knowledge-guided feedback yields more stable candidates. The fraction of stable or metastable DPs rises from about 43% (Case 1) to 48% (Case 2) and 54% (Case 3), compared with about 27% reported for an earlier GAN-based approach. Case 3 reaches an average energy above hull of about 0.09 eV/atom, roughly 30% lower than Cases 1 and 2.
- All generated compositions have negative formation energy, and iterative feedback lowers it further; e.g. in Case 2 (query 1) from −0.77 eV/atom for the initial Rb2CuInI6 to −2.55 eV/atom for the final Rb2AgSbF6.
- Strict constraints have a cost. Case 3 averages about 6.1 rejections per accepted DP versus 0.6 in Case 2 (27.7 for chalcogenides), and about 98.5% of its outputs meet the element and perovskite-type conditions versus 100% in Cases 1–2. It also explores wider chemistry (Na, K, Li at the A-site; Tl, Cd, Pb, Ba, Sr at B/B′).
- ML gradients help only in-distribution. The surrogate reaches weighted F1 of about 0.85–0.88 on in-distribution queries but about 0.4–0.5 out of distribution (Top-10 ElMD about 1.6); for the OOD chalcogenide query, Case 2 + ML averages 0.38 eV/atom energy above hull, nearly twice Case 3 without ML (0.19 eV/atom).