HiGeN: Hierarchical Multi-Resolution Graph Generative Networks

In real world domains, most graphs naturally exhibit a hierarchical structure. However, data-driven graph generation is yet to effectively capture such structures. To address this, we propose a novel approach that recursively generates community structures at multiple resolutions, with the generated structures conforming to training data distribution at each level of the hierarchy. The graphs generation is designed as a sequence of coarse-to-fine generative models allowing for parallel generation of all sub-structures, resulting in a high degree of scalability. Furthermore, we model the output distribution of edges with a more expressive multinomial distribution and derive a recursive factorization for this distribution, making it a suitable choice for graph generative models. This allows for the generation of graphs with integer-valued edge weights. Our method achieves state-of-the-art performance in both accuracy and efficiency on multiple datasets.