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Graph anomaly detection (GAD) aims to identify anomalous graphs that significantly deviate from other ones, which has raised growing attention due to the broad existence and complexity of graph-structured data in many real-world scenarios.…

Machine Learning · Computer Science 2024-02-21 Jinyu Cai , Yunhe Zhang , Zhoumin Lu , Wenzhong Guo , See-kiong Ng

Anomaly detection on attributed networks attracts considerable research interests due to wide applications of attributed networks in modeling a wide range of complex systems. Recently, the deep learning-based anomaly detection methods have…

Machine Learning · Computer Science 2021-05-07 Yixin Liu , Zhao Li , Shirui Pan , Chen Gong , Chuan Zhou , George Karypis

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

Homophily is a graph property describing the tendency of edges to connect similar nodes; the opposite is called heterophily. It is often believed that heterophilous graphs are challenging for standard message-passing graph neural networks…

Social and Information Networks · Computer Science 2024-04-17 Oleg Platonov , Denis Kuznedelev , Artem Babenko , Liudmila Prokhorenkova

Graph Neural Networks (GNNs) have proven to be powerful in many graph-based applications. However, they fail to generalize well under heterophilic setups, where neighbor nodes have different labels. To address this challenge, we employ a…

Machine Learning · Computer Science 2023-04-13 Yoonhyuk Choi , Jiho Choi , Taewook Ko , Chong-Kwon Kim

Graph neural networks (GNNs) work remarkably well in semi-supervised node regression, yet a rigorous theory explaining when and why they succeed remains lacking. To address this gap, we study an aggregate-and-readout model that encompasses…

Machine Learning · Statistics 2026-02-20 Juntong Chen , Claire Donnat , Olga Klopp , Johannes Schmidt-Hieber

Spectral Graph Neural Networks (GNNs) are gaining attention for their ability to surpass the limitations of message-passing GNNs. They rely on supervision from downstream tasks to learn spectral filters that capture the graph signal's…

Machine Learning · Computer Science 2024-05-24 Junjie Xu , Enyan Dai , Dongsheng Luo , Xiang Zhang , Suhang Wang

We investigate the representation power of graph neural networks in the semi-supervised node classification task under heterophily or low homophily, i.e., in networks where connected nodes may have different class labels and dissimilar…

Machine Learning · Computer Science 2020-10-26 Jiong Zhu , Yujun Yan , Lingxiao Zhao , Mark Heimann , Leman Akoglu , Danai Koutra

Graph anomaly detection aims to identify abnormal patterns in networks, but faces significant challenges from label scarcity and extreme class imbalance. While graph contrastive learning offers a promising unsupervised solution, existing…

Machine Learning · Computer Science 2026-01-30 Kamal Berahmand , Saman Forouzandeh , Mehrnoush Mohammadi , Parham Moradi , Mahdi Jalili

Detecting out-of-distribution (OOD) nodes in the graph-based machine-learning field is challenging, particularly when in-distribution (ID) node multi-category labels are unavailable. Thus, we focus on feature space rather than label space…

Machine Learning · Computer Science 2025-10-24 Shenzhi Yang , Junbo Zhao , Sharon Li , Shouqing Yang , Dingyu Yang , Xiaofang Zhang , Haobo Wang

A graph-based sampling and consensus (GraphSAC) approach is introduced to effectively detect anomalous nodes in large-scale graphs. Existing approaches rely on connectivity and attributes of all nodes to assign an anomaly score per node.…

Machine Learning · Computer Science 2019-10-23 Vassilis N. Ioannidis , Dimitris Berberidis , Georgios B. Giannakis

Graph neural networks (GNNs) have been widely used in many graph-based tasks such as node classification, link prediction, and node clustering. However, GNNs gain their performance benefits mainly from performing the feature propagation and…

Machine Learning · Computer Science 2021-07-28 Wentao Zhang , Yuezihan Jiang , Yang Li , Zeang Sheng , Yu Shen , Xupeng Miao , Liang Wang , Zhi Yang , Bin Cui

Self-supervised graph representation learning (SSGRL) is a representation learning paradigm used to reduce or avoid manual labeling. An essential part of SSGRL is graph data augmentation. Existing methods usually rely on heuristics commonly…

Machine Learning · Computer Science 2024-12-25 Ahmed E. Samy , Zekarias T. Kefatoa , Sarunas Girdzijauskasa

The task of graph-level anomaly detection (GLAD) is to identify anomalous graphs that deviate significantly from the majority of graphs in a dataset. While deep GLAD methods have shown promising performance, their black-box nature limits…

Machine Learning · Computer Science 2026-02-12 Qiuran Zhao , Kai Ming Ting , Xinpeng Li

Despite the success of Graph Neural Networks (GNNs) on various applications, GNNs encounter significant performance degradation when the amount of supervision signals, i.e., number of labeled nodes, is limited, which is expected as GNNs are…

Machine Learning · Computer Science 2022-04-29 Junseok Lee , Yunhak Oh , Yeonjun In , Namkyeong Lee , Dongmin Hyun , Chanyoung Park

Existing multiplex graph models often assume homophily, where connected nodes tend to belong to the same class or share similar attributes. Consequently, these models may struggle with graphs exhibiting heterophily, where connected nodes…

Machine Learning · Computer Science 2026-05-14 Kamel Abdous , Nairouz Mrabah , Mohamed Bouguessa

Recently, graph anomaly detection on attributed networks has attracted growing attention in data mining and machine learning communities. Apart from attribute anomalies, graph anomaly detection also aims at suspicious topological-abnormal…

Machine Learning · Computer Science 2023-10-03 Jingcan Duan , Bin Xiao , Siwei Wang , Haifang Zhou , Xinwang Liu

In this paper, we study semi-supervised graph classification, which aims at accurately predicting the categories of graphs in scenarios with limited labeled graphs and abundant unlabeled graphs. Despite the promising capability of graph…

Machine Learning · Computer Science 2024-05-29 Wei Ju , Zhengyang Mao , Siyu Yi , Yifang Qin , Yiyang Gu , Zhiping Xiao , Yifan Wang , Xiao Luo , Ming Zhang

Since heterogeneity presents a fundamental challenge in graph federated learning, many existing methods are proposed to deal with node feature heterogeneity and structure heterogeneity. However, they overlook the critical homophily…

Machine Learning · Computer Science 2025-02-20 Wentao Yu

Graph neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

Social and Information Networks · Computer Science 2023-05-09 Erlin Pan , Zhao Kang