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Nowadays, graph-structured data are increasingly used to model complex systems. Meanwhile, detecting anomalies from graph has become a vital research problem of pressing societal concerns. Anomaly detection is an unsupervised learning task…

Machine Learning · Computer Science 2021-03-29 Xuhong Wang , Baihong Jin , Ying Du , Ping Cui , Yupu Yang

Anomaly detection aims to detect data that do not conform to regular patterns, and such data is also called outliers. The anomalies to be detected are often tiny in proportion, containing crucial information, and are suitable for…

Machine Learning · Computer Science 2023-06-06 Fan Xu , Nan Wang , Xibin Zhao

Graph anomaly detection aims to identify irregular patterns in graph-structured data. Most unsupervised GNN-based methods rely on the homophily assumption that connected nodes share similar attributes. However, real-world graphs often…

Machine Learning · Computer Science 2026-04-20 Zehao Wang , Lanjun Wang

Graph classification aims to categorise graphs based on their structure and node attributes. In this work, we propose to tackle this task using tools from graph signal processing by deriving spectral features, which we then use to design…

Machine Learning · Computer Science 2023-06-07 Felix L. Opolka , Yin-Cong Zhi , Pietro Liò , Xiaowen Dong

Anomaly detection on dynamic graphs refers to detecting entities whose behaviors obviously deviate from the norms observed within graphs and their temporal information. This field has drawn increasing attention due to its application in…

Machine Learning · Computer Science 2023-10-26 Shiqi Lou , Qingyue Zhang , Shujie Yang , Yuyang Tian , Zhaoxuan Tan , Minnan Luo

Graph-Level Anomaly Detection (GLAD) aims to distinguish anomalous graphs within a graph dataset. However, current methods are constrained by their receptive fields, struggling to learn global features within the graphs. Moreover, most…

Machine Learning · Computer Science 2024-07-04 Fan Xu , Nan Wang , Hao Wu , Xuezhi Wen , Dalin Zhang , Siyang Lu , Binyong Li , Wei Gong , Hai Wan , Xibin Zhao

Let $F$ be a probability distribution with support on the non-negative integers. Four methods for generating a simple undirected graph with (approximate) degree distribution $F$ are described and compared. Two methods are based on the so…

Probability · Mathematics 2015-09-30 Tom Britton , Maria Deijfen , Anders Martin-Löf

Given a stream of graph edges from a dynamic graph, how can we assign anomaly scores to edges and subgraphs in an online manner, for the purpose of detecting unusual behavior, using constant time and memory? For example, in intrusion…

Data Structures and Algorithms · Computer Science 2023-07-18 Siddharth Bhatia , Mohit Wadhwa , Kenji Kawaguchi , Neil Shah , Philip S. Yu , Bryan Hooi

Graph anomaly detection faces significant challenges due to the scarcity of reliable anomaly-labeled datasets, driving the development of unsupervised methods. Graph autoencoders (GAEs) have emerged as a dominant approach by reconstructing…

Machine Learning · Computer Science 2025-06-03 Chunyu Wei , Wenji Hu , Xingjia Hao , Yunhai Wang , Yueguo Chen , Bing Bai , Fei Wang

Bidirected graphs are a common generalisation of directed graphs where arcs can also be incoming to both their incident nodes, or outgoing from both their incident nodes. Such arcs allow a walk to change direction. Some algorithms can…

Data Structures and Algorithms · Computer Science 2026-05-14 Sebastian Schmidt , Juha Harviainen , Corentin Moumard , Aleksandr Politov , Francisco Sena , Alexandru I. Tomescu

Drawings of non-planar graphs always result in edge crossings. When there are many edges crossing at small angles, it is often difficult to follow these edges, because of the multiple visual paths resulted from the crossings that slow down…

Discrete Mathematics · Computer Science 2014-09-02 Yifan Hu , Lei Shi

To detect anomalies in real-world graphs, such as social, email, and financial networks, various approaches have been developed. While they typically assume static input graphs, most real-world graphs grow over time, naturally represented…

Machine Learning · Computer Science 2024-07-26 Jongha Lee , Sunwoo Kim , Kijung Shin

Graph Anomaly Detection (GAD) aims to identify uncommon, deviated, or suspicious objects within graph-structured data. Existing methods generally focus on a single graph object type (node, edge, graph, etc.) and often overlook the inherent…

Machine Learning · Computer Science 2024-11-12 Yiqing Lin , Jianheng Tang , Chenyi Zi , H. Vicky Zhao , Yuan Yao , Jia Li

Unsupervised graph-level anomaly detection (UGAD) has attracted increasing interest due to its widespread application. In recent studies, knowledge distillation-based methods have been widely used in unsupervised anomaly detection to…

Machine Learning · Computer Science 2024-07-02 Rui Cao , Shijie Xue , Jindong Li , Qi Wang , Yi Chang

Graph-level anomaly detection (GLAD) aims to identify graphs that exhibit notable dissimilarity compared to the majority in a collection. However, current works primarily focus on evaluating graph-level abnormality while failing to provide…

Machine Learning · Computer Science 2023-10-26 Yixin Liu , Kaize Ding , Qinghua Lu , Fuyi Li , Leo Yu Zhang , Shirui Pan

With the growing complexity of cyberattacks targeting critical infrastructures such as water treatment networks, there is a pressing need for robust anomaly detection strategies that account for both system vulnerabilities and evolving…

Machine Learning · Computer Science 2025-08-14 Arun Vignesh Malarkkan , Haoyue Bai , Dongjie Wang , Yanjie Fu

An identifying code of a graph is a dominating set which uniquely determines all the vertices by their neighborhood within the code. Whereas graphs with large minimum degree have small domination number, this is not the case for the…

Combinatorics · Mathematics 2017-01-02 Florent Foucaud , Guillem Perarnau , Oriol Serra

In this paper, we explore different approaches to anomaly detection on dynamic knowledge graphs, specifically in a Micro-services environment for Kubernetes applications. Our approach explores three dynamic knowledge graph representations:…

Machine Learning · Computer Science 2024-11-12 Xiaohua Lu , Leshanshui Yang

Detecting anomalies in a temporal sequence of graphs can be applied is areas such as the detection of accidents in transport networks and cyber attacks in computer networks. Existing methods for detecting abnormal graphs can suffer from…

Machine Learning · Computer Science 2025-02-03 Sevvandi Kandanaarachchi , Conrad Sanderson , Rob J. Hyndman

We characterize the graphs with loops whose degree sequences have no repeated values and find their adjacency spectrum. In the case of simple graphs, such graphs are called anti-regular graphs and are examples of threshold graphs. The…

Combinatorics · Mathematics 2019-12-16 Cesar O. Aguilar