Training was conducted using Materials Project MP-20 dataset , which consists of 45,229 stable inorganic structures with diverse compositional and structural variations, featuring up to 20 atoms per unit cell. Consistent with previous studies , the same data splits were utilized, with the training data used for model fine-tuning and the test data for performance evaluation, conditioned on composition and space group. To generate stable structures conditioned on energy above the hull, the model was fine-tuned on the entire MP-20 dataset, incorporating all merged training, validation, and test sets.