HOG-Diff: Higher-Order Guided Diffusion for Graph Generation

• URL: http://arxiv.org/abs/2502.04308v1
• Date: Thu, 06 Feb 2025 18:51:14 GMT
• Title: HOG-Diff: Higher-Order Guided Diffusion for Graph Generation
• Authors: Yiming Huang, Tolga Birdal,
• Abstract summary: Graph generation is a critical yet challenging task as empirical analyses require a deep understanding of complex, non-Euclidean structures. We propose a novel Higher-order Guided Diffusion model that follows a coarse-to-fine generation curriculum and is guided by higher-order information. Our model exhibits a stronger theoretical guarantee than classical diffusion frameworks.
• Score: 16.879154374481235
• License:
• Abstract: Graph generation is a critical yet challenging task as empirical analyses require a deep understanding of complex, non-Euclidean structures. Although diffusion models have recently made significant achievements in graph generation, these models typically adapt from the frameworks designed for image generation, making them ill-suited for capturing the topological properties of graphs. In this work, we propose a novel Higher-order Guided Diffusion (HOG-Diff) model that follows a coarse-to-fine generation curriculum and is guided by higher-order information, enabling the progressive generation of plausible graphs with inherent topological structures. We further prove that our model exhibits a stronger theoretical guarantee than classical diffusion frameworks. Extensive experiments on both molecular and generic graph generation tasks demonstrate that our method consistently outperforms or remains competitive with state-of-the-art baselines. Our code is available at https://github.com/Yiminghh/HOG-Diff.

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