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Real data often contain anomalous cases, also known as outliers. These may spoil the resulting analysis but they may also contain valuable information. In either case, the ability to detect such anomalies is essential. A useful tool for…

Machine Learning · Statistics 2021-01-13 Peter J. Rousseeuw , Mia Hubert

Symmetry is a key feature observed in nature (from flowers and leaves, to butterflies and birds) and in human-made objects (from paintings and sculptures, to manufactured objects and architectural design). Rotational, translational, and…

Computer Vision and Pattern Recognition · Computer Science 2019-08-28 Felice De Luca , Md Iqbal Hossain , Stephen Kobourov

Recently, it has been proposed that the natural connectivity can be used to efficiently characterise the robustness of complex networks. Natural connectivity quantifies the redundancy of alternative routes in a network by evaluating the…

Statistical Mechanics · Physics 2010-09-20 Jun Wu , Mauricio Barahona , Yuejin Tan , Hongzhong Deng

In recent years, there has been a growing interest in identifying anomalous structure within multivariate data streams. We consider the problem of detecting collective anomalies, corresponding to intervals where one or more of the data…

Methodology · Statistics 2019-09-05 Alexander T M Fisch , Idris A Eckley , Paul Fearnhead

Anomaly Detection is a relevant problem in numerous real-world applications, especially when dealing with images. However, little attention has been paid to the issue of changes over time in the input data distribution, which may cause a…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Nikola Bugarin , Jovana Bugaric , Manuel Barusco , Davide Dalle Pezze , Gian Antonio Susto

This paper aims at precisely detecting and identifying anomalous events in IP traffic. To this end, we adopt the link stream formalism which properly captures temporal and structural features of the data. Within this framework, we focus on…

Social and Information Networks · Computer Science 2019-06-07 Audrey Wilmet , Tiphaine Viard , Matthieu Latapy , Robin Lamarche-Perrin

Interacting systems are ubiquitous in nature and engineering, ranging from particle dynamics in physics to functionally connected brain regions. These interacting systems can be modeled by graphs where edges correspond to the interactions…

Machine Learning · Computer Science 2024-01-25 Zhichao Han , Olga Fink , David S. Kammer

$Anomaly$ $detection$ problems (also called $change$-$point$ $detection$ problems) have been studied in data mining, statistics and computer science over the last several decades in applications such as medical condition monitoring and…

Data Structures and Algorithms · Computer Science 2019-12-23 Bhaskar DasGupta , Mano Vikash Janardhanan , Farzane Yahyanejad

Modern data analysis pipelines are becoming increasingly complex due to the presence of multi-view information sources. While graphs are effective in modeling complex relationships, in many scenarios a single graph is rarely sufficient to…

Machine Learning · Statistics 2019-04-02 Uday Shankar Shanthamallu , Jayaraman J. Thiagarajan , Huan Song , Andreas Spanias

Logs play a crucial role in system monitoring and debugging by recording valuable system information, including events and states. Although various methods have been proposed to detect anomalies in log sequences, they often overlook the…

Machine Learning · Computer Science 2023-09-13 Yufei Li , Yanchi Liu , Haoyu Wang , Zhengzhang Chen , Wei Cheng , Yuncong Chen , Wenchao Yu , Haifeng Chen , Cong Liu

Complex networks in natural, social, and technological systems generically exhibit an abundance of rich information. Extracting meaningful structural features from data is one of the most challenging tasks in network theory. Many methods…

Physics and Society · Physics 2012-06-04 Daniel Grady , Christian Thiemann , Dirk Brockmann

Detection of anomalous situations for complex mission-critical systems hold paramount importance when their service continuity needs to be ensured. A major challenge in detecting anomalies from the operational data arises due to the…

Machine Learning · Computer Science 2025-05-20 Shanay Mehta , Shlok Mehendale , Nicole Fernandes , Jyotirmoy Sarkar , Santonu Sarkar , Snehanshu Saha

Entropic causal inference is a recent framework for learning the causal graph between two variables from observational data by finding the information-theoretically simplest structural explanation of the data, i.e., the model with smallest…

Machine Learning · Computer Science 2025-09-23 Spencer Compton , Kristjan Greenewald , Dmitriy Katz , Murat Kocaoglu

An important task in network analysis is the detection of anomalous events in a network time series. These events could merely be times of interest in the network timeline or they could be examples of malicious activity or network…

Machine Learning · Computer Science 2016-08-03 Timothy La Fond , Jennifer Neville , Brian Gallagher

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

Networks constitute efficient tools for assessing universal features of complex systems. In physical contexts, classical as well as quantum, networks are used to describe a wide range of phenomena, such as phase transitions, intricate…

Quantum Physics · Physics 2016-01-22 Jaroslav Novotný , Gernot Alber , Igor Jex

Anomaly detection in dynamic graphs presents a significant challenge due to the temporal evolution of graph structures and attributes. The conventional approaches that tackle this problem typically employ an unsupervised learning framework,…

Machine Learning · Computer Science 2024-08-16 Jie Liu , Xuequn Shang , Xiaolin Han , Kai Zheng , Hongzhi Yin

In many real-world AD applications including computer security and fraud prevention, the anomaly detector must be configurable by the human analyst to minimize the effort on false positives. One important way to configure the detector is by…

Machine Learning · Computer Science 2024-05-15 Shubhomoy Das , Md Rakibul Islam , Nitthilan Kannappan Jayakodi , Janardhan Rao Doppa

We propose a simple yet effective method for detecting anomalous instances on an attribute graph with label information of a small number of instances. Although with standard anomaly detection methods it is usually assumed that instances…

Machine Learning · Statistics 2020-02-28 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara

Graph anomaly detection (GAD) aims to identify abnormal nodes that differ from the majority of the nodes in a graph, which has been attracting significant attention in recent years. Existing generalist graph models have achieved remarkable…

Machine Learning · Computer Science 2025-06-03 Hezhe Qiao , Chaoxi Niu , Ling Chen , Guansong Pang
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