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The problem of counting occurrences of query graphs in a large data graph, known as subgraph counting, is fundamental to several domains such as genomics and social network analysis. Many important special cases (e.g. triangle counting)…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-04-05 Venkatesan T. Chakaravarthy , Michael Kapralov , Prakash Murali , Fabrizio Petrini , Xinyu Que , Yogish Sabharwal , Baruch Schieber

Graph-level anomaly detection aims to identify abnormal graphs that exhibit deviant structures and node attributes compared to the majority in a graph set. One primary challenge is to learn normal patterns manifested in both fine-grained…

Machine Learning · Computer Science 2023-07-04 Chaoxi Niu , Guansong Pang , Ling Chen

Graph representations offer powerful and intuitive ways to describe data in a multitude of application domains. Here, we consider stochastic processes generating graphs and propose a methodology for detecting changes in stationarity of such…

Machine Learning · Computer Science 2021-02-11 Daniele Zambon , Cesare Alippi , Lorenzo Livi

This paper considers the graph signal processing problem of anomaly detection in time series of graphs. We examine two related, complementary inference tasks: the detection of anomalous graphs within a time series, and the detection of…

The early research report explores the possibility of using Graph Neural Networks (GNNs) for anomaly detection in internet traffic data enriched with information. While recent studies have made significant progress in using GNNs for anomaly…

Social and Information Networks · Computer Science 2024-05-24 Anasuya Chattopadhyay , Daniel Reti , Hans D. Schotten

Given high-dimensional time series data (e.g., sensor data), how can we detect anomalous events, such as system faults and attacks? More challengingly, how can we do this in a way that captures complex inter-sensor relationships, and…

Machine Learning · Computer Science 2021-06-15 Ailin Deng , Bryan Hooi

Graph machine learning has witnessed rapid growth, driving advancements across diverse domains. However, the in-distribution assumption, where training and testing data share the same distribution, often breaks in real-world scenarios,…

Machine Learning · Computer Science 2025-02-13 Tingyi Cai , Yunliang Jiang , Yixin Liu , Ming Li , Changqin Huang , Shirui Pan

Anomaly detection aims to identify deviations from normal patterns within data. This task is particularly crucial in dynamic graphs, which are common in applications like social networks and cybersecurity, due to their evolving structures…

Machine Learning · Computer Science 2024-12-24 Xiao Yang , Xuejiao Zhao , Zhiqi Shen

Graph anomaly detection aims to identify anomaly nodes in attributed graphs and plays an important role in real-world applications. However, existing graph anomaly detection methods still face two key challenges: 1) fixed pipelines, which…

Machine Learning · Computer Science 2026-05-28 Tairan Huang , Qiang Chen , Yili Wang , Yueyue Ma , Changlong He , Xiu Su , Yi Chen

We introduce a technique called graph fission which takes in a graph which potentially contains only one observation per node (whose distribution lies in a known class) and produces two (or more) independent graphs with the same node/edge…

Methodology · Statistics 2024-01-30 James Leiner , Aaditya Ramdas

In data systems, activities or events are continuously collected in the field to trace their proper executions. Logging, which means recording sequences of events, can be used for analyzing system failures and malfunctions, and identifying…

Machine Learning · Computer Science 2021-06-29 Tomer Meirman , Roni Stern , Gilad Katz

To build safe and reliable graph machine learning systems, unsupervised graph-level anomaly detection (GLAD) and unsupervised graph-level out-of-distribution (OOD) detection (GLOD) have received significant attention in recent years. Though…

Machine Learning · Computer Science 2025-04-07 Yili Wang , Yixin Liu , Xu Shen , Chenyu Li , Kaize Ding , Rui Miao , Ying Wang , Shirui Pan , Xin Wang

Unsupervised graph anomaly detection aims at identifying rare patterns that deviate from the majority in a graph without the aid of labels, which is important for a variety of real-world applications. Recent advances have utilized Graph…

Machine Learning · Computer Science 2025-05-27 Yuanchen Bei , Sheng Zhou , Jinke Shi , Yao Ma , Haishuai Wang , Jiajun Bu

This manuscript introduces Diophantine labeling, a new way of labeling of the vertices for finite simple undirected graphs with some divisibility condition on the edges. Maximal graphs admitting Diophantine labeling are investigated and…

Combinatorics · Mathematics 2026-01-01 A. Nasr , A. Elsonbaty , M. A. Seoud , M. Anwar

Exploring small connected and induced subgraph patterns (CIS patterns, or graphlets) has recently attracted considerable attention. Despite recent efforts on computing the number of instances a specific graphlet appears in a large graph…

Social and Information Networks · Computer Science 2016-05-02 Pinghui Wang , Xiangliang Zhang , Zhenguo Li , Jiefeng Cheng , John C. S. Lui , Don Towsley , Junzhou Zhao , Jing Tao , Xiaohong Guan

Two-sample tests utilizing a similarity graph on observations are useful for high-dimensional and non-Euclidean data due to their flexibility and good performance under a wide range of alternatives. Existing works mainly focused on sparse…

Statistics Theory · Mathematics 2023-11-14 Yejiong Zhu , Hao Chen

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

Oversight in medical images is a crucial problem, and timely reporting of medical images is desired. Therefore, an all-purpose anomaly detection method that can detect virtually all types of lesions/diseases in a given image is strongly…

Image and Video Processing · Electrical Eng. & Systems 2020-10-21 H. Shibata , S. Hanaoka , Y. Nomura , T. Nakao , I. Sato , D. Sato , N. Hayashi , O. Abe

Graph anomaly detection aims to identify unusual patterns in graph-based data, with wide applications in fields such as web security and financial fraud detection. Existing methods typically rely on contrastive learning, assuming that a…

Machine Learning · Computer Science 2025-05-26 Di Jin , Jingyi Cao , Xiaobao Wang , Bingdao Feng , Dongxiao He , Longbiao Wang , Jianwu Dang

Mapping complex input data into suitable lower dimensional manifolds is a common procedure in machine learning. This step is beneficial mainly for two reasons: (1) it reduces the data dimensionality and (2) it provides a new data…

Machine Learning · Computer Science 2018-11-28 Daniele Zambon , Lorenzo Livi , Cesare Alippi
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