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Graph-level anomaly detection (GLAD) has already gained significant importance and has become a popular field of study, attracting considerable attention across numerous downstream works. The core focus of this domain is to capture and…

Machine Learning · Computer Science 2024-07-17 Zitong Wang , Xuexiong Luo , Enfeng Song , Qiuqing Bai , Fu Lin

For a graph representation of a dataset, a straightforward normality measure for a sample can be its graph degree. Considering a weighted graph, degree of a sample is the sum of the corresponding row's values in a similarity matrix. The…

Machine Learning · Computer Science 2018-02-06 Caglar Aytekin , Francesco Cricri , Lixin Fan , Emre Aksu

The problem of network-constrained averaging is to compute the average of a set of values distributed throughout a graph G using an algorithm that can pass messages only along graph edges. We study this problem in the noisy setting, in…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-15 Nima Noorshams , Martin Wainwright

We study sample complexity of optimizing "hill-climbing friendly" functions defined on a graph under noisy observations. We define a notion of convexity, and we show that a variant of best-arm identification can find a near-optimal solution…

Machine Learning · Computer Science 2020-06-05 Tan Nguyen , Ali Shameli , Yasin Abbasi-Yadkori , Anup Rao , Branislav Kveton

We study vulnerability of a uniformly distributed random graph to an attack by an adversary who aims for a global change of the distribution while being able to make only a local change in the graph. We call a graph property $A$…

Discrete Mathematics · Computer Science 2023-04-11 Sergei Kiselev , Andrey Kupavskii , Oleg Verbitsky , Maksim Zhukovskii

The present paper considers testing an Erdos--Renyi random graph model against a stochastic block model in the asymptotic regime where the average degree of the graph grows with the graph size n. Our primary interest lies in those cases in…

Statistics Theory · Mathematics 2017-08-14 Debapratim Banerjee , Zongming Ma

Many social and economic systems can be represented as attributed networks encoding the relations between entities who are themselves described by different node attributes. Finding anomalies in these systems is crucial for detecting abuses…

Social and Information Networks · Computer Science 2020-10-27 Leonardo Gutiérrez-Gómez , Alexandre Bovet , Jean-Charles Delvenne

As the default protocol for exchanging routing reachability information on the Internet, the abnormal behavior in traffic of Border Gateway Protocols (BGP) is closely related to Internet anomaly events. The BGP anomalous detection model…

Machine Learning · Computer Science 2021-12-28 Songtao Peng , Jiaqi Nie , Xincheng Shu , Zhongyuan Ruan , Lei Wang , Yunxuan Sheng , Qi Xuan

Water distribution systems (WDSs) face increasing cyber-physical risks, which make reliable anomaly detection essential. Many data-driven models ignore network topology and are hard to interpret, while model-based ones depend strongly on…

Machine Learning · Computer Science 2026-01-21 Mohammadhossein Homaei , Iman Khazrak , Ruben Molano , Andres Caro , Mar Avila

Inspired by recent advances in coverage-guided analysis of neural networks, we propose a novel anomaly detection method. We show that the hidden activation values contain information useful to distinguish between normal and anomalous…

Cryptography and Security · Computer Science 2021-02-25 Philip Sperl , Jan-Philipp Schulze , Konstantin Böttinger

Large graphs are sometimes studied through their degree sequences (power law or regular graphs). We study graphs that are uniformly chosen with a given degree sequence. Under mild conditions, it is shown that sequences of such graphs have…

Probability · Mathematics 2011-08-31 Sourav Chatterjee , Persi Diaconis , Allan Sly

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

Anomaly detection aims to detect abnormal events by a model of normality. It plays an important role in many domains such as network intrusion detection, criminal activity identity and so on. With the rapidly growing size of accessible…

Machine Learning · Computer Science 2018-08-02 Chu Wang , Yan-Ming Zhang , Cheng-Lin Liu

Many well-established anomaly detection methods use the distance of a sample to those in its local neighbourhood: so-called `local outlier methods', such as LOF and DBSCAN. They are popular for their simple principles and strong performance…

Machine Learning · Computer Science 2021-12-13 Adam Goodge , Bryan Hooi , See Kiong Ng , Wee Siong Ng

We propose a modified density estimation problem that is highly effective for detecting anomalies in tabular data. Our approach assumes that the density function is relatively stable (with lower variance) around normal samples. We have…

Machine Learning · Computer Science 2024-05-09 Amit Rozner , Barak Battash , Henry Li , Lior Wolf , Ofir Lindenbaum

Anomaly detection is a widely studied task for a broad variety of data types; among them, multiple time series appear frequently in applications, including for example, power grids and traffic networks. Detecting anomalies for multiple time…

Machine Learning · Computer Science 2022-05-10 Enyan Dai , Jie Chen

Graph anomaly detection is crucial for identifying nodes that deviate from regular behavior within graphs, benefiting various domains such as fraud detection and social network. Although existing reconstruction-based methods have achieved…

Machine Learning · Computer Science 2023-12-25 Junwei He , Qianqian Xu , Yangbangyan Jiang , Zitai Wang , Qingming Huang

Network complexity has been studied for over half a century and has found a wide range of applications. Many methods have been developed to characterize and estimate the complexity of networks. However, there has been little research with…

Machine Learning · Statistics 2021-01-13 Yann Issartel

The detection and the quantification of anomalies in image data are critical tasks in industrial scenes such as detecting micro scratches on product. In recent years, due to the difficulty of defining anomalies and the limit of correcting…

Computer Vision and Pattern Recognition · Computer Science 2018-11-08 Masanari Kimura , Takashi Yanagihara

Graph Anomaly Detection (GAD) aims to identify nodes that deviate from the majority within a graph, playing a crucial role in applications such as social networks and e-commerce. Despite the current advancements in deep learning-based GAD,…

Machine Learning · Computer Science 2025-08-20 Yunfeng Zhao , Yixin Liu , Shiyuan Li , Qingfeng Chen , Yu Zheng , Shirui Pan