arXiv:2512.01716stat.MLcs.LG2025-12

发现多个植物-传粉者网络中的共通结构,提升分类与预测能力

Common Structure Discovery in Collections of Bipartite Networks: Application to Pollination Systems

  • 基于共享层级结构的联合建模,捕捉多网络间的共同连接模式
  • 模拟实验显示该方法显著提升聚类准确率和链接预测性能
  • 适合研究生态网络演化、物种角色识别的科研人员使用

双部网络广泛用于描述生态相互作用。比较双部网络的组织结构是理解环境因素如何塑造群落结构与韧性的重要一步。然而,现有双部网络结构检测方法忽略了多网络集合中的共享模式。本文提出 extit{colBiSBM},一种扩展经典潜层块模型(LBM)的概率模型家族,用于多网络集合分析。该框架假设各网络是共享中尺度结构的独立实现,通过公共块间连接参数编码。我们建立了不同变体的可辨识性条件,并开发了变分期望最大化算法进行参数估计,同时改进集成分类似然(ICL)准则用于模型选择。实验表明,该方法可基于拓扑特征对网络进行分类。模拟研究显示 extit{colBiSBM} 能有效恢复共通结构,提升聚类表现并增强链接预测能力。在植物-传粉者网络的应用中,揭示了共享的生态角色,并将网络划分为具有相似连接模式的子集合。结果说明联合建模在双部系统研究中具有方法与实践优势。

原文摘要 · Abstract (English)

Bipartite networks are widely used to encode the ecological interactions. Being able to compare the organization of bipartite networks is a first step toward a better understanding of how environmental factors shape community structure and resilience. Yet current methods for structure detection in bipartite networks overlook shared patterns across collections of networks. We introduce the \emph{colBiSBM}, a family of probabilistic models for collections of bipartite networks that extends the classical Latent Block Model (LBM). The proposed framework assumes that networks are independent realizations of a shared mesoscale structure, encoded through common inter-block connectivity parameters. We establish identifiability conditions for the different variants of \emph{colBiSBM} and develop a variational EM algorithm for parameter estimation, coupled with an adaptation of the Integrated Classification Likelihood (ICL) criterion for model selection. We demonstrate how our approach can be used to classify networks based on their topology or organization. Simulation studies highlight the ability of \emph{colBiSBM} to recover common structures, improve clustering performance, and enhance link prediction by borrowing strength across networks. An application to plant--pollinator networks highlights how the method uncovers shared ecological roles and partitions networks into sub-collections with similar connectivity patterns. These results illustrate the methodological and practical advantages of joint modeling over separate network analyses in the study of bipartite systems.

双部网络生态建模聚类结构发现

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