ELBO can be formulated into maximizing the objective of V AE as in Eq. (4). Based on the condition (i.e.subject to) of the loss function, we enforce z In total 3,780 MOFs were selected for the experiment. QMOF dataset was summarized in Appendix, Table 1. Meshes in MeshSeg dataset can be formed into graphs of triangle grids. The statistics of MeshSeg dataset has been summarized in Appendix, Table 1.

Their generative modeling has great potential in real-world applications such as material design and graphics synthesis. Classical models either rely on domain-specific predefined generation principles (e.g., in crystal net design),