The 'structural' category (Fig. )), being the second most significant category, has a more influence on the prediction of bulk modulus compared to shear modulus. The structural features such as Laue symmetric point groups, space groups, crystal systems, etc., contribute to the prediction of bulk modulus, along with SOAP features, while only the SOAP feature vector influences shear modulus. This is because the bulk modulus primarily depends on the compressibility of the lattice, which can be highly dependent on the symmetry of the crystal structure. In contrast, in materials with layered or anisotropic crystal structures, the shear modulus can be highly dependent on the orientation and arrangement of atomic layers, while the bulk modulus may be less sensitive to these factors. Supplementary information Fig. 1(b) shows that almost 50% of the crystals in the dataset belong to the cubic and hexagonal categories, which explains the additional dependence of bulk modulus on the structural properties.