arXiv:2607.10969cs.DScs.AI2026-07

提出可配置图摘要框架,支持用户自定义损失容忍度。

CGS: Configurable Graph Summarization with Bounded Neighborhood Loss and Query Support

论文配图:CGS: Configurable Graph Summarization with Bounded Neighborhood Loss and Query Support
图 1 · 摘自论文原文
  • 基于共同邻域聚合构建三种摘要变体,支持无损与有损摘要。
  • 引入邻域损失阈值,确保重构与查询结果在可控范围内误差。
  • 适用于需要高效查询和压缩的大规模图数据场景。

面对日益增长的图数据规模,如何生成一个紧凑且可由用户配置的摘要图,以支持多种图查询并保持高精度?现有方法难以同时实现高压缩率、多查询支持及用户可配置性。为此,本文提出新型图摘要框架CGS(Configurable Graph Summarizer),基于节点共同邻域聚合思想,设计三种变体:CGS-E(无损)、CGS-I(无假阳性边)和CGS-U(无假阴性边)。通过引入用户指定的邻域损失容忍阈值,限制每个节点邻域的最大允许损失,从而保障图重构与查询结果在无损失或有界损失下进行。在多个合成与真实世界图上的实验表明,CGS在压缩效率与查询准确性方面均优于当前最优方法。

原文摘要 · Abstract (English)

Given a large graph, how to generate a compact summary graph that is configurable by the user and supports multiple graph queries with either no loss or with high accuracy? The ever growing size of graph datasets makes the above question on graph summarization very pertinent. Although, there are several approaches, there does not exist a configurable graph summarization method that offers high compression along with support for multiple graph queries on the summary graph with high accuracy, and allows the user to configure the summarization based on: (1) lossless or lossy summarization, (2) amount of tolerable neighborhood loss, (3) the type of loss it can tolerate, in terms of false positive edges (i.e., extra edges), false negative edges (i.e., missing edges), or neither, in both the (a) reconstructed graph and the (b) query answers. To overcome these limitations, we propose a novel graph summarization framework CGS (Configurable Graph Summarizer) that builds upon the idea of aggregating nodes with common neighborhoods. The CGS framework consists of three summarization variants, CGS-E, CGS-I and CGS-U. While CGS-E is a lossless scheme, CGS-I and CGS-U are lossy schemes that allow reconstruction of the input graph with no false positive edges and no false negative edges, respectively. To bound the graph reconstruction loss, we introduce a user-specified parameter neighborhood loss tolerance threshold, that limits the maximum loss allowed in the neighborhood of each node. This allows graph reconstruction and neighborhood query evaluation with either no loss or with bounded loss guarantees. Empirical evaluation on several synthetic and real-world graphs shows that CGS offers superior summarization than the state-of-the-art methods, and can answer graph queries with fairly high accuracy and efficiency.

图摘要可配置邻域损失图查询

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