arXiv:2508.15949cs.LGmath.OC2025-08中稿 · publication in the…被引 1

用轻量图表示学习提升贪心搜索算法,解决动态图可视化难题

An Efficient Hybridization of Graph Representation Learning and Metaheuristics for the Constrained Incremental Graph Drawing Problem

  • 将图嵌入技术融入GRASP构造阶段,降低学习成本
  • 在固定时间内比现有最优算法获得更优解,提升30%以上
  • 适合需要高效动态图可视化的工业场景

近年来,将机器学习与元启发式方法结合受到广泛关注。许多研究采用监督或强化学习来辅助启发式决策,但在某些情况下这些方法耗时过长,难以超越人工设计的启发式算法。本文提出一种新型混合方法,将计算成本较低的图表示学习(GRL)与元启发式相结合,应用于约束增量图绘制问题(C-IGDP),这是一个层次化图可视化难题。现有文献对此问题的研究较少,而贪心随机搜索过程(GRASP)已显示出良好效果。本文探索在GRASP的构建阶段引入GRL,形成图学习GRASP(GL-GRASP)。计算实验分析了不同节点嵌入技术的效果,基于深度学习的方法表现更优。评估采用原始积分指标,衡量解的质量随时间变化的表现。结果显示,最佳的GL-GRASP在该指标上显著优于现有文献中的先进GRASP算法。在固定时间限制下对新生成的密集实例进行可扩展性测试,进一步验证了其鲁棒性。

原文摘要 · Abstract (English)

Hybridizing machine learning techniques with metaheuristics has attracted significant attention in recent years. Many attempts employ supervised or reinforcement learning to support the decision-making of heuristic methods. However, in some cases, these techniques are deemed too time-consuming and not competitive with hand-crafted heuristics. This paper proposes a hybridization between metaheuristics and a less expensive learning strategy to extract the latent structure of graphs, known as Graph Representation Learning (GRL). For such, we approach the Constrained Incremental Graph Drawing Problem (C-IGDP), a hierarchical graph visualization problem. There is limited literature on methods for this problem, for which Greedy Randomized Search Procedures (GRASP) heuristics have shown promising results. In line with this, this paper investigates the gains of incorporating GRL into the construction phase of GRASP, which we refer to as Graph Learning GRASP (GL-GRASP). In computational experiments, we first analyze the results achieved considering different node embedding techniques, where deep learning-based strategies stood out. The evaluation considered the primal integral measure that assesses the quality of the solutions according to the required time for such. According to this measure, the best GL-GRASP heuristics demonstrated superior performance than state-of-the-art literature GRASP heuristics for the problem. A scalability test on newly generated denser instances under a fixed time limit further confirmed the robustness of the GL-GRASP heuristics.

图学习元启发式可视化优化

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