Generating Large Semi-Synthetic Graphs of Any Size
Graph generation is an important area in network science. Traditional approaches focus on replicating specific properties of real-world graphs, such as small diameters or power-law degree distributions. Recent advancements in deep learning, particularly with Graph Neural Networks, have enabled data-driven methods to learn and generate graphs without relying on predefined structural properties. Despite these advances, current models are limited by their reliance on node IDs, which restricts their ability to generate graphs larger than the input graph and ignores node attributes. To address these challenges, we propose Latent Graph Sampling Generation (LGSG), a novel framework that leverages diffusion models and node embeddings to generate graphs of varying sizes without retraining. The framework eliminates the dependency on node IDs and captures the distribution of node embeddings and subgraph structures, enabling scalable and flexible graph generation. Experimental results show that LGSG performs on par with baseline models for standard metrics while outperforming them in overlooked ones, such as the tendency of nodes to form clusters. Additionally, it maintains consistent structural characteristics across graphs of different sizes, demonstrating robustness and scalability.
Code (0)
등록된 구현이 없습니다.
Tasks
Graph GenerationSimilar Papers 제목 키워드 기반
GraphMaker: Can Diffusion Models Generate Large Attributed Graphs?
Large-scale graphs with node attributes are increasingly common in various real-world applications. Creating synthetic, attribute-rich graphs that mirror real-world examples is crucial, especially for sharing graph data …
AttributeGraph GenerationPhase transitions and optimal algorithms for semi-supervised classifications on graphs: from belief propagation to graph convolution network
We perform theoretical and algorithmic studies for the problem of clustering and semi-supervised classification on graphs with both pairwise relational information and single-point feature information, upon a joint stoch…
Bayesian InferenceClusteringGeneral ClassificationStochastic Block ModelSemi-supervised mp-MRI Data Synthesis with StitchLayer and Auxiliary Distance Maximization
In this paper, we address the problem of synthesizing multi-parameter magnetic resonance imaging (mp-MRI) data, i.e. Apparent Diffusion Coefficients (ADC) and T2-weighted (T2w), containing clinically significant (CS) pro…
Synthesizing Multi-Parameter Magnetic Resonance Imaging (Mp-Mri) DataSeedGNN: Graph Neural Networks for Supervised Seeded Graph Matching
There is a growing interest in designing Graph Neural Networks (GNNs) for seeded graph matching, which aims to match two unlabeled graphs using only topological information and a small set of seed nodes. However, most pr…
Graph MatchingSaGess: Sampling Graph Denoising Diffusion Model for Scalable Graph Generation
Over recent years, denoising diffusion generative models have come to be considered as state-of-the-art methods for synthetic data generation, especially in the case of generating images. These approaches have also prove…
DenoisingGraph GenerationLink PredictionSynthetic Data Generation