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arXiv · 2408.04461

Random Walk Diffusion for Efficient Large-Scale Graph Generation

Tobias Bernecker·Ghalia Rehawi·Francesco Paolo Casale·Janine Knauer-Arloth·Annalisa Marsico
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Abstract

Graph generation addresses the problem of generating new graphs that have a data distribution similar to real-world graphs. While previous diffusion-based graph generation methods have shown promising results, they often struggle to scale to large graphs. In this work, we propose ARROW-Diff (AutoRegressive RandOm Walk Diffusion), a novel random walk-based diffusion approach for efficient large-scale graph generation. Our method encompasses two components in an iterative process of random walk sampling and graph pruning. We demonstrate that ARROW-Diff can scale to large graphs efficiently, surpassing other baseline methods in terms of both generation time and multiple graph statistics, reflecting the high quality of the generated graphs.

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Tobias Bernecker, Ghalia Rehawi, Francesco Paolo Casale, Janine Knauer-Arloth, Annalisa Marsico. 2024-08-08. Random Walk Diffusion for Efficient Large-Scale Graph Generation. https://arxiv.org/abs/2408.04461

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