LGJun 18, 2025

Semi-supervised Graph Anomaly Detection via Robust Homophily Learning

arXiv:2506.15448v11 citationsh-index: 5Has Code
Originality Incremental advance
AI Analysis

This work addresses graph anomaly detection for applications like fraud detection or network security, but it is incremental as it builds on existing semi-supervised methods by refining homophily assumptions.

The paper tackles the problem of semi-supervised graph anomaly detection by addressing the assumption that normal nodes have uniform homophily, proposing RHO to adaptively learn diverse homophily patterns, resulting in substantial outperformance over state-of-the-art methods on eight real-world datasets.

Semi-supervised graph anomaly detection (GAD) utilizes a small set of labeled normal nodes to identify abnormal nodes from a large set of unlabeled nodes in a graph. Current methods in this line posit that 1) normal nodes share a similar level of homophily and 2) the labeled normal nodes can well represent the homophily patterns in the normal class. However, this assumption often does not hold well since normal nodes in a graph can exhibit diverse homophily in real-world GAD datasets. In this paper, we propose RHO, namely Robust Homophily Learning, to adaptively learn such homophily patterns. RHO consists of two novel modules, adaptive frequency response filters (AdaFreq) and graph normality alignment (GNA). AdaFreq learns a set of adaptive spectral filters that capture different frequency components of the labeled normal nodes with varying homophily in the channel-wise and cross-channel views of node attributes. GNA is introduced to enforce consistency between the channel-wise and cross-channel homophily representations to robustify the normality learned by the filters in the two views. Experiments on eight real-world GAD datasets show that RHO can effectively learn varying, often under-represented, homophily in the small normal node set and substantially outperforms state-of-the-art competing methods. Code is available at https://github.com/mala-lab/RHO.

Code Implementations1 repo
Foundations

The foundational work for this paper's niche, ranked by how specifically the neighbourhood builds on it — not by global fame.

Your Notes