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arXiv 2310.08031cs.LGcs.SIstat.ML

带噪声标签的局部图聚类

Local Graph Clustering with Noisy Labels

University of Waterloo(滑铁卢大学)

Artur Back de Luca, Kimon Fountoulakis, Shenghao Yang

AI总结:

本文研究如何利用含噪节点标签进行局部图聚类,提出基于标签构建加权图并执行图扩散的方法,从理论上证明其恢复优势,并在多个真实数据集上将F1最高提升13%。

摘要:

人们对在具有文本、图像或标签等额外节点信息的图上开展机器学习问题的兴趣日益增长,这使得需要处理整个图这一代价高昂操作的方法得到普及。然而,在开发快速局部方法(即不访问整个图)以从此类数据中提取有用信息方面,所做的努力很少。为此,我们提出一项使用噪声节点标签作为额外节点信息代理的局部图聚类研究。在此设置中,节点根据集群从属关系接收初始二元标签:若属于目标集群则为1,否则为0。随后,这些标签中的一部分会被翻转。我们研究了为局部图聚类纳入噪声标签的益处。通过利用此类标签构建加权图,我们研究了基于图扩散的局部聚类方法在原始图和加权图上的性能。从理论角度,我们考虑在具有独立噪声节点标签的随机图中,利用单个种子节点恢复未知目标集群。我们给出了关于标签噪声的充分条件,在这些条件下,高概率地,在加权图中使用扩散可更准确地恢复目标集群。该方法被证明比仅使用给定标签或在无标签原始图中使用扩散更有效。在实证方面,我们表明仅需来自属性图的少量样本即可获得可靠的节点标签。此外,通过在加权图中进行扩散来利用这些标签,可在多个真实世界数据集上带来显著更优的局部聚类性能,将F1分数最高提升13%。

英文摘要:

The growing interest in machine learning problems over graphs with additional node information such as texts, images, or labels has popularized methods that require the costly operation of processing the entire graph. Yet, little effort has been made to the development of fast local methods (i.e. without accessing the entire graph) that extract useful information from such data. To that end, we propose a study of local graph clustering using noisy node labels as a proxy for additional node information. In this setting, nodes receive initial binary labels based on cluster affiliation: 1 if they belong to the target cluster and 0 otherwise. Subsequently, a fraction of these labels is flipped. We investigate the benefits of incorporating noisy labels for local graph clustering. By constructing a weighted graph with such labels, we study the performance of graph diffusion-based local clustering method on both the original and the weighted graphs. From a theoretical perspective, we consider recovering an unknown target cluster with a single seed node in a random graph with independent noisy node labels. We provide sufficient conditions on the label noise under which, with high probability, using diffusion in the weighted graph yields a more accurate recovery of the target cluster. This approach proves more effective than using the given labels alone or using diffusion in the label-free original graph. Empirically, we show that reliable node labels can be obtained with just a few samples from an attributed graph. Moreover, utilizing these labels via diffusion in the weighted graph leads to significantly better local clustering performance across several real-world datasets, improving F1 scores by up to 13%.

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