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At the crossway of machine learning and data analysis, anomaly detection aims at identifying observations that exhibit abnormal behaviour. Be it measurement errors, disease development, severe weather, production quality default(s) (items)…

Methodology · Statistics 2025-06-06 Romain Valla , Pavlo Mozharovskyi , Florence d'Alché-Buc

Anomaly detection is a fundamental task in machine learning and data mining, with significant applications in cybersecurity, industrial fault diagnosis, and clinical disease monitoring. Traditional methods, such as statistical modeling and…

Machine Learning · Computer Science 2025-05-09 Yi Chen

Anomaly localization in images -- identifying regions that deviate from normal patterns -- is vital in applications such as medical diagnosis and industrial inspection. A recent trend is the use of image generation models in anomaly…

Machine Learning · Statistics 2026-04-28 Teruyuki Katsuoka , Tomohiro Shiraishi , Daiki Miwa , Vo Nguyen Le Duy , Ichiro Takeuchi

The challenge of efficiently identifying anomalies in data sequences is an important statistical problem that now arises in many applications. Whilst there has been substantial work aimed at making statistical analyses robust to outliers,…

Machine Learning · Statistics 2019-04-12 Alexander T. M. Fisch , Idris A. Eckley , Paul Fearnhead

Anomalies represent deviations from the intended system operation and can lead to decreased efficiency as well as partial or complete system failure. As the causes of anomalies are often unknown due to complex system dynamics, efficient…

Machine Learning · Computer Science 2021-08-31 Benjamin Lindemann , Benjamin Maschler , Nada Sahlab , Michael Weyrich

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

Anomaly detection is a crucial task in complex distributed systems. A thorough understanding of the requirements and challenges of anomaly detection is pivotal to the security of such systems, especially for real-world deployment. While…

In many scenarios, it is necessary to monitor a complex system via a time-series of observations and determine when anomalous exogenous events have occurred so that relevant actions can be taken. Determining whether current observations are…

Machine Learning · Computer Science 2022-09-20 Alex Mallen , Christoph A. Keller , J. Nathan Kutz

The quantitative analysis of financial time series often reveals two distinct features that standard Gaussian frameworks fail to capture: heavy-tailed marginal distributions and the phenomenon of extreme co-movements.While extreme value…

Statistics Theory · Mathematics 2026-05-14 Debanjana Datta , Diganta Mukherjee

Anomaly detection is the process of identifying atypical data samples that significantly deviate from the majority of the dataset. In the realm of clinical screening and diagnosis, detecting abnormalities in medical images holds great…

Computer Vision and Pattern Recognition · Computer Science 2023-10-11 Xianyao Hu , Congming Jin

This study outlines a comprehensive methodology utilizing copulas to discern inconsistencies in the behavior exhibited by pairs of financial assets. It introduces a robust approach to establishing the interrelationship between the returns…

Computational Finance · Quantitative Finance 2023-12-05 Alexander Shulzhenko

This paper introduces new methodology based on the field of Topological Data Analysis for detecting anomalies in multivariate time series, that aims to detect global changes in the dependency structure between channels. The proposed…

Statistics Theory · Mathematics 2024-06-11 Frédéric Chazal , Martin Royer , Clément Levrard

We propose a new method to define anomaly scores and apply this to particle physics collider events. Anomalies can be either rare, meaning that these events are a minority in the normal dataset, or different, meaning they have values that…

High Energy Physics - Phenomenology · Physics 2022-03-09 Sascha Caron , Luc Hendriks , Rob Verheyen

Anomaly detection is fundamental yet, challenging problem with practical applications in industry. The current approaches neglect the higher-order dependencies within the networks of interconnected sensors in the high-dimensional time…

Machine Learning · Computer Science 2024-08-22 Sakhinana Sagar Srinivas , Rajat Kumar Sarkar , Venkataramana Runkana

The aim of atypicality is to extract small, rare, unusual and interesting pieces out of big data. This complements statistics about typical data to give insight into data. In order to find such "interesting" parts of data, universal…

Signal Processing · Electrical Eng. & Systems 2017-09-18 Elyas Sabeti , Anders Høst-Madsen

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

Machine Learning · Computer Science 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

Anomaly detection is crucial for understanding unusual behaviors in data, as anomalies offer valuable insights. This paper introduces Dependency-based Anomaly Detection (DepAD), a general framework that utilizes variable dependencies to…

Machine Learning · Computer Science 2024-04-18 Sha Lu , Lin Liu , Kui Yu , Thuc Duy Le , Jixue Liu , Jiuyong Li

In actuarial research, a task of particular interest and importance is to predict the loss cost for individual risks so that informative decisions are made in various insurance operations such as underwriting, ratemaking, and capital…

Applications · Statistics 2019-10-15 Peng Shi , Zifeng Zhao

This paper considers the real-time detection of anomalies in high-dimensional systems. The goal is to detect anomalies quickly and accurately so that the appropriate countermeasures could be taken in time, before the system possibly gets…

Machine Learning · Computer Science 2020-07-16 Mahsa Mozaffari , Yasin Yilmaz

Anomaly detection methods are part of the systems where rare events may endanger an operation's profitability, safety, and environmental aspects. Although many state-of-the-art anomaly detection methods were developed to date, their…

Machine Learning · Computer Science 2023-02-01 Marek Wadinger , Michal Kvasnica