无需中心节点数据,也能完成聚类,适合处理长尾分布金融数据。
Clustering of Incomplete Data via a Bipartite Graph Structure
- 基于双分图结构,从不完整数据中推断聚类。
- 在真实金融数据上验证,对长尾分布数据效果显著。
- 适用于缺少中心节点信息的复杂场景,如金融风控。
现有图学习聚类方法多依赖双分图模型,需中心节点数据,但实际中常不可得。同时,主流高斯模型难以处理金融等领域常见的重尾分布数据。本文提出一种新聚类方法:可在无中心节点信息情况下,通过双分图结构实现聚类;并针对重尾分布设计优化机制。基于真实金融数据的数值实验表明,该方法在不完整数据条件下仍具高效性与鲁棒性。
原文摘要 · Abstract (English)
There are various approaches to graph learning for data clustering, incorporating different spectral and structural constraints through diverse graph structures. Some methods rely on bipartite graph models, where nodes are divided into two classes: centers and members. These models typically require access to data for the center nodes in addition to observations from the member nodes. However, such additional data may not always be available in many practical scenarios. Moreover, popular Gaussian models for graph learning have demonstrated limited effectiveness in modeling data with heavy-tailed distributions, which are common in financial markets. In this paper, we propose a clustering method based on a bipartite graph model that addresses these challenges. First, it can infer clusters from incomplete data without requiring information about the center nodes. Second, it is designed to effectively handle heavy-tailed data. Numerical experiments using real financial data validate the efficiency of the proposed method for data clustering.
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