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Data augmentation methods are commonly integrated into the training of anomaly detection models. Previous approaches have primarily focused on replicating real-world anomalies or enhancing diversity, without considering that the standard of…

Artificial Intelligence · Computer Science 2024-12-30 Jiang Lin , Yaping Yan

Under Markovian assumptions, we leverage a Central Limit Theorem (CLT) for the empirical measure in the test statistic of the composite hypothesis Hoeffding test so as to establish weak convergence results for the test statistic, and,…

Systems and Control · Computer Science 2018-02-14 Jing Zhang , Ioannis Ch. Paschalidis

Anomaly detection is to recognize samples that differ in some respect from the training observations. These samples which do not conform to the distribution of normal data are called outliers or anomalies. In real-world anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Vahid Reza Khazaie , Anthony Wong , Yalda Mohsenzadeh

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

Time series anomaly detection has applications in a wide range of research fields and applications, including manufacturing and healthcare. The presence of anomalies can indicate novel or unexpected events, such as production faults, system…

Machine Learning · Computer Science 2024-09-04 Zahra Zamanzadeh Darban , Geoffrey I. Webb , Shirui Pan , Charu C. Aggarwal , Mahsa Salehi

Anomaly detection aims to identify samples that deviate from the nominal data distribution and is central to many safety-critical applications. However, developing effective anomaly detection methods for categorical, mixed-type, and…

Machine Learning · Computer Science 2026-05-29 Lixing Zhang , Yuchen Liang , Liyan Xie

Timely detection of abrupt anomalies is crucial for real-time monitoring and security of modern systems producing high-dimensional data. With this goal, we propose effective and scalable algorithms. Proposed algorithms are nonparametric as…

Machine Learning · Computer Science 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

Capturing the dependence structure of multivariate extreme events is a major concern in many fields involving the management of risks stemming from multiple sources, e.g. portfolio monitoring, insurance, environmental risk management and…

Machine Learning · Statistics 2016-03-15 Nicolas Goix , Anne Sabourin , Stéphan Clémençon

Two frameworks for multivariate functional depth based on multivariate depths are introduced in this paper. The first framework is multivariate functional integrated depth, and the second framework involves multivariate functional extremal…

Methodology · Statistics 2022-11-29 Zhuo Qu , Wenlin Dai , Marc G. Genton

This paper proposes to use set features for detecting anomalies in samples that consist of unusual combinations of normal elements. Many leading methods discover anomalies by detecting an unusual part of a sample. For example,…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Niv Cohen , Issar Tzachor , Yedid Hoshen

Anomaly detection is being regarded as an unsupervised learning task as anomalies stem from adversarial or unlikely events with unknown distributions. However, the predictive performance of purely unsupervised anomaly detection often fails…

Machine Learning · Computer Science 2014-01-27 Nico Goernitz , Marius Micha Kloft , Konrad Rieck , Ulf Brefeld

Many random processes can be simulated as the output of a deterministic model accepting random inputs. Such a model usually describes a complex mathematical or physical stochastic system and the randomness is introduced in the input…

Machine Learning · Statistics 2012-11-21 A. Gokcen Mahmutoglu , Alper T. Erdogan , Alper Demir

We propose a supervised anomaly detection method based on neural density estimators, where the negative log likelihood is used for the anomaly score. Density estimators have been widely used for unsupervised anomaly detection. By the recent…

Machine Learning · Statistics 2019-04-15 Tomoharu Iwata , Yuki Yamanaka

The focus of this work is on estimation of the in-degree distribution in directed networks from sampling network nodes or edges. A number of sampling schemes are considered, including random sampling with and without replacement, and…

Methodology · Statistics 2018-10-03 Nelson Antunes , Shankar Bhamidi , Tianjian Guo , Vladas Pipiras , Bang Wang

A new method for analyzing the morphological features of point patterns is presented. The method is taken from the study of molecular liquids, where it has been introduced for making a statistical description of anisotropic distributions.…

Astrophysics · Physics 2007-05-23 R. Valdarnini

Unsupervised anomaly detection in time-series has been extensively investigated in the literature. Notwithstanding the relevance of this topic in numerous application fields, a comprehensive and extensive evaluation of recent…

Machine Learning · Computer Science 2024-08-13 Nesryne Mejri , Laura Lopez-Fuentes , Kankana Roy , Pavel Chernakov , Enjie Ghorbel , Djamila Aouada

Despite the continuous proposal of new anomaly detection algorithms and extensive benchmarking efforts, progress seems to stagnate, with only minor performance differences between established baselines and new algorithms. In this position…

Machine Learning · Computer Science 2025-07-22 Philipp Röchner , Simon Klüttermann , Franz Rothlauf , Daniel Schlör

Anomaly detection plays a crucial role in quality control for industrial applications. However, ensuring robustness under unseen domain shifts such as lighting variations or sensor drift remains a significant challenge. Existing methods…

Computer Vision and Pattern Recognition · Computer Science 2025-03-20 Jingyi Liao , Xun Xu , Yongyi Su , Rong-Cheng Tu , Yifan Liu , Dacheng Tao , Xulei Yang

Anomaly detection on multivariate time-series is of great importance in both data mining research and industrial applications. Recent approaches have achieved significant progress in this topic, but there is remaining limitations. One major…

Machine Learning · Computer Science 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Anomaly detection plays a crucial role in various real-world applications, including healthcare and finance systems. Owing to the limited number of anomaly labels in these complex systems, unsupervised anomaly detection methods have…

Machine Learning · Computer Science 2023-10-10 Zongyuan Huang , Baohua Zhang , Guoqiang Hu , Longyuan Li , Yanyan Xu , Yaohui Jin