cs.AI updates on arXiv.org 10月06日
City-Networks:大规模城市路网图数据集与长距离依赖度量
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本文提出City-Networks,一个基于真实城市路网的大规模图数据集,并设计了一种基于邻居雅可比矩阵的长距离依赖度量方法,为图神经网络中长距离交互的探索提供坚实基础。

arXiv:2503.09008v2 Announce Type: replace-cross Abstract: Long-range dependencies are critical for effective graph representation learning, yet most existing datasets focus on small graphs tailored to inductive tasks, offering limited insight into long-range interactions. Current evaluations primarily compare models employing global attention (e.g., graph transformers) with those using local neighborhood aggregation (e.g., message-passing neural networks) without a direct measurement of long-range dependency. In this work, we introduce City-Networks, a novel large-scale transductive learning dataset derived from real-world city road networks. This dataset features graphs with over 100k nodes and significantly larger diameters than those in existing benchmarks, naturally embodying long-range information. We annotate the graphs based on local node eccentricities, ensuring that the classification task inherently requires information from distant nodes. Furthermore, we propose a model-agnostic measurement based on the Jacobians of neighbors from distant hops, offering a principled quantification of long-range dependencies. Finally, we provide theoretical justifications for both our dataset design and the proposed measurement-particularly by focusing on over-smoothing and influence score dilution-which establishes a robust foundation for further exploration of long-range interactions in graph neural networks.

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City-Networks 图神经网络 长距离依赖 数据集 度量方法
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