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One of the contemporary challenges in anomaly detection is the ability to detect, and differentiate between, both point and collective anomalies within a data sequence or time series. The anomaly package has been developed to provide users…

Applications · Statistics 2024-01-30 Alex Fisch , Daniel Grose , Idris A. Eckley , Paul Fearnhead , Lawrence Bardwell

Time-series anomaly detection, which detects errors and failures in a workflow, is one of the most important topics in real-world applications. The purpose of time-series anomaly detection is to reduce potential damages or losses. However,…

Machine Learning · Computer Science 2025-04-17 Jinsung Jeon , Jaehyeon Park , Sewon Park , Jeongwhan Choi , Minjung Kim , Noseong Park

Time series anomaly detection is an important process for system monitoring and model switching, among other applications in cyber-physical systems. In this document, we present a fast subspace method for time series anomaly detection, with…

Systems and Control · Electrical Eng. & Systems 2022-05-23 Fredy Vides , Esteban Segura , Carlos Vargas-Agüero

For large-scale simulation codes with huge and complex code bases, where bit-for-bit comparisons are too restrictive, finding the source of statistically significant discrepancies (e.g., from a previous version, alternative hardware or…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-12 Daniel J. Milroy , Allison H. Baker , Dorit M. Hammerling , Youngsung Kim , Elizabeth R. Jessup , Thomas Hauser

This paper addresses the problem of detecting time series outliers, focusing on systems with repetitive behavior, such as industrial robots operating on production lines.Notable challenges arise from the fact that a task performed multiple…

Artificial Intelligence · Computer Science 2026-02-13 Charlotte Lacoquelle , Xavier Pucel , Louise Travé-Massuyès , Axel Reymonet , Benoît Enaux

Identifying anomalies in large multi-dimensional time series is a crucial and difficult task across multiple domains. Few methods exist in the literature that address this task when some of the variables are categorical in nature. We…

Machine Learning · Computer Science 2022-04-25 Matthew Horak , Sowmya Chandrasekaran , Giovanni Tobar

Finding the root causes of anomalies in cloud computing systems quickly is crucial to ensure availability and efficiency since accurate root causes can guide engineers to take appropriate actions to address the anomalies and maintain…

Human-Computer Interaction · Computer Science 2025-12-11 Shuhan Liu , Yunfan Zhou , Lu Ying , Yuan Tian , Jue Zhang , Shandan Zhou , Weiwei Cui , Qingwei Lin , Thomas Moscibroda , Haidong Zhang , Di Weng , Yingcai Wu

Multivariate time series data come as a collection of time series describing different aspects of a certain temporal phenomenon. Anomaly detection in this type of data constitutes a challenging problem yet with numerous applications in…

Artificial Intelligence · Computer Science 2025-11-12 Jinbo Li , Hesam Izakian , Witold Pedrycz , Iqbal Jamal

This paper proposes a new method for anomaly detection in time-series data by incorporating the concept of difference subspace into the singular spectrum analysis (SSA). The key idea is to monitor slight temporal variations of the…

Machine Learning · Computer Science 2023-04-06 Takumi Kanai , Naoya Sogi , Atsuto Maki , Kazuhiro Fukui

Root-cause analysis in controlled time dependent systems poses a major challenge in applications. Especially energy systems are difficult to handle as they exhibit instantaneous as well as delayed effects and if equipped with storage, do…

Machine Learning · Statistics 2026-02-05 Philipp Alexander Schwarz , Johannes Oberpriller , Sven Klaassen

Automation and computer intelligence to support complex human decisions becomes essential to manage large and distributed systems in the Cloud and IoT era. Understanding the root cause of an observed symptom in a complex system has been a…

Artificial Intelligence · Computer Science 2017-07-04 Marc Solé , Victor Muntés-Mulero , Annie Ibrahim Rana , Giovani Estrada

The continued digitization of societal processes translates into a proliferation of time series data that cover applications such as fraud detection, intrusion detection, and energy management, where anomaly detection is often essential to…

Dynamical systems, prevalent in various scientific and engineering domains, are susceptible to anomalies that can significantly impact their performance and reliability. This paper addresses the critical challenges of anomaly detection,…

Machine Learning · Computer Science 2025-07-18 Yue Sun , Rick S. Blum , Parv Venkitasubramaniam

Identifying root causes of anomalies in causal processes is vital across disciplines. Once identified, one can isolate the root causes and implement necessary measures to restore the normal operation. Causal processes are often modelled as…

Artificial Intelligence · Computer Science 2023-12-20 Phuoc Nguyen , Truyen Tran , Sunil Gupta , Thin Nguyen , Svetha Venkatesh

Time series anomaly detection has been recognized as of critical importance for the reliable and efficient operation of real-world systems. Many anomaly detection methods have been developed based on various assumptions on anomaly…

Machine Learning · Computer Science 2022-07-28 Jiuqi Elise Zhang , Di Wu , Benoit Boulet

The online monitoring data in distribution networks contain rich information on the running states of the networks. By leveraging the data, this paper proposes a spatio-temporal correlation analysis approach for anomaly detection and…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Xin Shi , Robert Qiu , Zenan Ling , Fan Yang , Haosen Yang , Xing He

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

When analysing time series an important issue is to decide whether the time series is stationary or a random walk. Relaxing these notions, we consider the problem to decide in favor of the I(0)- or I(1)-property. Fixed-sample statistical…

Statistics Theory · Mathematics 2018-05-01 Ansgar Steland

We address the problem of sequentially selecting and observing processes from a given set to find the anomalies among them. The decision-maker observes one process at a time and obtains a noisy binary indicator of whether or not the…

Machine Learning · Computer Science 2021-05-14 Geethu Joseph , M. Cenk Gursoy , Pramod K. Varshney

Anomaly and failure detection methods are crucial in identifying deviations from normal system operational conditions, which allows for actions to be taken in advance, usually preventing more serious damages. Long-lasting deviations…

Machine Learning · Computer Science 2026-03-20 Natalia Wojak-Strzelecka , Szymon Bobek , Grzegorz J. Nalepa , Jerzy Stefanowski