arXiv:2409.18859cs.LG2024-09NeurIPS被引 10

提出生成结构多样图的新方法,提升算法测试质量。

Challenges of Generating Structurally Diverse Graphs

  • 设计多样图生成框架,融合随机模型与遗传算法
  • 相比基础生成器,多样性提升显著,可优化不同度量
  • 适合算法验证、图神经网络测试等场景

针对图相关问题中需要结构多样图集的需求,本文填补了该方向的空白。首先讨论图集多样性的定义难题及度量选择策略;随后针对不同度量,比较了基于标准随机图模型、局部图优化、遗传算法和神经生成模型的多种生成方法。实验表明,相较基础随机生成器,所提方法能显著提升多样性。进一步分析显示,采用不同多样性度量会生成具有迥异结构特性的图,从而深化对图距离本质的理解。

原文摘要 · Abstract (English)

For many graph-related problems, it can be essential to have a set of structurally diverse graphs. For instance, such graphs can be used for testing graph algorithms or their neural approximations. However, to the best of our knowledge, the problem of generating structurally diverse graphs has not been explored in the literature. In this paper, we fill this gap. First, we discuss how to define diversity for a set of graphs, why this task is non-trivial, and how one can choose a proper diversity measure. Then, for a given diversity measure, we propose and compare several algorithms optimizing it: we consider approaches based on standard random graph models, local graph optimization, genetic algorithms, and neural generative models. We show that it is possible to significantly improve diversity over basic random graph generators. Additionally, our analysis of generated graphs allows us to better understand the properties of graph distances: depending on which diversity measure is used for optimization, the obtained graphs may possess very different structural properties which gives a better understanding of the graph distance underlying the diversity measure.

图生成多样性算法测试

Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。