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Driven by network intrusion detection, we propose a MultiResolution Anomaly Detection (MRAD) method, which effectively utilizes the multiscale properties of Internet features and network anomalies. In this paper, several theoretical…

Statistics Theory · Mathematics 2008-09-09 Lingsong Zhang , Zhengyuan Zhu , J. S. Marron

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

Machine Learning · Computer Science 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

Detecting anomalies in time series data is important in a variety of fields, including system monitoring, healthcare, and cybersecurity. While the abundance of available methods makes it difficult to choose the most appropriate method for a…

Machine Learning · Computer Science 2023-02-03 Ferdinand Rewicki , Joachim Denzler , Julia Niebling

Organizations rely heavily on time series metrics to measure and model key aspects of operational and business performance. The ability to reliably detect issues with these metrics is imperative to identifying early indicators of major…

Machine Learning · Computer Science 2020-11-11 Sayan Chakraborty , Smit Shah , Kiumars Soltani , Anna Swigart , Luyao Yang , Kyle Buckingham

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

In recent years, specific evaluation metrics for time series anomaly detection algorithms have been developed to handle the limitations of the classical precision and recall. However, such metrics are heuristically built as an aggregate of…

Machine Learning · Computer Science 2022-10-13 Alexis Huet , Jose Manuel Navarro , Dario Rossi

Anomaly detection is a common analytical task that aims to identify rare cases that differ from the typical cases that make up the majority of a dataset. When applied to the analysis of event sequence data, the task of anomaly detection can…

Human-Computer Interaction · Computer Science 2020-04-16 Shunan Guo , Zhuochen Jin , Qing Chen , David Gotz , Hongyuan Zha , Nan Cao

Random projection is widely used as a method of dimension reduction. In recent years, its combination with standard techniques of regression and classification has been explored. Here we examine its use with principal component analysis…

Methodology · Statistics 2012-04-13 Qi Ding , Eric D. Kolaczyk

The ability to quickly and accurately detect anomalous structure within data sequences is an inference challenge of growing importance. This work extends recently proposed post-hoc (offline) anomaly detection methodology to the sequential…

Methodology · Statistics 2020-09-16 Alexander T. M. Fisch , Lawrence Bardwell , Idris A. Eckley

Time series with non-uniform intervals occur in many applications, and are difficult to model using standard recurrent neural networks (RNNs). We generalize RNNs to have continuous-time hidden dynamics defined by ordinary differential…

Machine Learning · Computer Science 2019-07-10 Yulia Rubanova , Ricky T. Q. Chen , David Duvenaud

Functional data analysis offers a diverse toolkit of statistical methods tailored for analyzing samples of real-valued random functions. Recently, samples of time-varying random objects, such as time-varying networks, have been increasingly…

Methodology · Statistics 2025-03-10 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Despite the prevalence of reconstruction-based deep learning methods, time series anomaly detection remains a tremendous challenge. Existing approaches often struggle with limited temporal contexts, insufficient representation of normal…

Machine Learning · Computer Science 2025-07-16 Zhijie Zhong , Zhiwen Yu , Xing Xi , Yue Xu , Wenming Cao , Yiyuan Yang , Kaixiang Yang , Jane You

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

Methodology · Statistics 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

In the class of streaming anomaly detection algorithms for univariate time series, the size of the sliding window over which various statistics are calculated is an important parameter. To address the anomalous variation in the scale of the…

Applications · Statistics 2017-06-22 B Ravi Kiran

Anomaly detection is a classical but worthwhile problem, and many deep learning-based anomaly detection algorithms have been proposed, which can usually achieve better detection results than traditional methods. In view of reconstruct…

Machine Learning · Computer Science 2020-04-16 Chunkai Zhang , Shaocong Li , Hongye Zhang , Yingyang Chen

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…

This paper presents a fast and principled approach for solving the visual anomaly detection and segmentation problem. In this setup, we have access to only anomaly-free training data and want to detect and identify anomalies of an arbitrary…

Computer Vision and Pattern Recognition · Computer Science 2022-11-24 Ibrahima Ndiour , Nilesh Ahuja , Utku Genc , Omesh Tickoo

Recent algorithms of time-series anomaly detection have been evaluated by applying a Point Adjustment (PA) protocol. However, the PA protocol has a problem of overestimating the performance of the detection algorithms because it only…

Machine Learning · Computer Science 2023-05-18 Yongwan Gim , Kyushik Min

Today's Cyber-Physical Systems (CPSs) are large, complex, and affixed with networked sensors and actuators that are targets for cyber-attacks. Conventional detection techniques are unable to deal with the increasingly dynamic and complex…

Machine Learning · Computer Science 2019-01-16 Dan Li , Dacheng Chen , Jonathan Goh , See-kiong Ng

Today's cyber-world is vastly multivariate. Metrics collected at extreme varieties demand multivariate algorithms to properly detect anomalies. However, forecast-based algorithms, as widely proven approaches, often perform sub-optimally or…

Machine Learning · Computer Science 2022-01-14 Lan Wang , Yusan Lin , Yuhang Wu , Huiyuan Chen , Fei Wang , Hao Yang