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Time series anomalies can offer information relevant to critical situations facing various fields, from finance and aerospace to the IT, security, and medical domains. However, detecting anomalies in time series data is particularly…

Machine Learning · Computer Science 2020-11-17 Alexander Geiger , Dongyu Liu , Sarah Alnegheimish , Alfredo Cuesta-Infante , Kalyan Veeramachaneni

Large companies need to monitor various metrics (for example, Page Views and Revenue) of their applications and services in real time. At Microsoft, we develop a time-series anomaly detection service which helps customers to monitor the…

Machine Learning · Computer Science 2019-06-11 Hansheng Ren , Bixiong Xu , Yujing Wang , Chao Yi , Congrui Huang , Xiaoyu Kou , Tony Xing , Mao Yang , Jie Tong , Qi Zhang

Anomaly detection in time series has been widely researched and has important practical applications. In recent years, anomaly detection algorithms are mostly based on deep-learning generative models and use the reconstruction error to…

Machine Learning · Computer Science 2020-10-15 Chunkai Zhang , Wei Zuo , Xuan Wang

Anomalies (unusual patterns) in time-series data give essential, and often actionable information in critical situations. Examples can be found in such fields as healthcare, intrusion detection, finance, security and flight safety. In this…

Applications · Statistics 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev

An increasing body of research focuses on using neural networks to model time series. A common assumption in training neural networks via maximum likelihood estimation on time series is that the errors across time steps are uncorrelated.…

Machine Learning · Computer Science 2021-10-12 Fan-Keng Sun , Christopher I. Lang , Duane S. Boning

Data repairing is a key problem in data cleaning which aims to uncover and rectify data errors. Traditional methods depend on data dependencies to check the existence of errors in data, but they fail to rectify the errors. To overcome this…

Databases · Computer Science 2019-09-24 Hiba Abu Ahmad , Hongzhi Wang

Undetected anomalies in time series can trigger catastrophic failures in safety-critical systems, such as chemical plant explosions or power grid outages. Although many detection methods have been proposed, their performance remains unclear…

The research in anomaly detection lacks a unified definition of what represents an anomalous instance. Discrepancies in the nature itself of an anomaly lead to multiple paradigms of algorithms design and experimentation. Predictive…

Missing data can significantly hamper standard time series analysis, yet they occur frequently in applications. In this paper, we introduce temporal Wasserstein imputation, a novel method for imputing missing data in time series. Unlike…

Methodology · Statistics 2025-08-15 Shuo-Chieh Huang , Tengyuan Liang , Ruey S. Tsay

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

Time series anomaly detection plays a critical role in automated monitoring systems. Most previous deep learning efforts related to time series anomaly detection were based on recurrent neural networks (RNN). In this paper, we propose a…

Machine Learning · Computer Science 2019-06-03 Tailai Wen , Roy Keyes

Network data has emerged as an active research area in statistics. Much of the focus of ongoing research has been on static networks that represent a single snapshot or aggregated historical data unchanging over time. However, most networks…

Applications · Statistics 2021-02-23 Lata Kodali , Srijan Sengupta , Leanna House , William H. Woodall

Analysis of water and environmental data is an important aspect of many intelligent water and environmental system applications where inference from such analysis plays a significant role in decision making. Quite often these data that are…

Machine Learning · Computer Science 2020-12-16 Tochukwu John Anih , Chika Amadi Bede , Chima Festus Umeokpala

Data-driven methods that detect anomalies in times series data are ubiquitous in practice, but they are in general unable to provide helpful explanations for the predictions they make. In this work we propose a model-agnostic algorithm that…

Time series anomaly detection is important in modern large-scale systems and is applied in a variety of domains to analyze and monitor the operation of diverse systems. Unsupervised approaches have received widespread interest, as they do…

Machine Learning · Computer Science 2025-10-23 Buang Zhang , Tung Kieu , Xiangfei Qiu , Chenjuan Guo , Jilin Hu , Aoying Zhou , Christian S. Jensen , Bin Yang

Using a time series model to mimic an observed time series has a long history. However, with regard to this objective, conventional estimation methods for discrete-time dynamical models are frequently found to be wanting. In fact, they are…

Statistics Theory · Mathematics 2015-03-19 Yingcun Xia , Howell Tong

Detecting anomalies in temporal data has gained significant attention across various real-world applications, aiming to identify unusual events and mitigate potential hazards. In practice, situations often involve a mix of segment-level…

Machine Learning · Computer Science 2025-01-22 Yaxuan Wang , Hao Cheng , Jing Xiong , Qingsong Wen , Han Jia , Ruixuan Song , Liyuan Zhang , Zhaowei Zhu , Yang Liu

Irregular temporal data, characterized by varying recording frequencies, differing observation durations, and missing values, presents significant challenges across fields like mobility, healthcare, and environmental science. Existing…

Machine Learning · Computer Science 2026-01-28 Francesco Spinnato , Cristiano Landi

Time series anomaly detection is challenging due to the complexity and variety of patterns that can occur. One major difficulty arises from modeling time-dependent relationships to find contextual anomalies while maintaining detection…

Machine Learning · Computer Science 2023-10-25 Chih-Yu Lai , Fan-Keng Sun , Zhengqi Gao , Jeffrey H. Lang , Duane S. Boning

Low-count time series describe sparse or intermittent events, which are prevalent in large-scale online platforms that capture and monitor diverse data types. Several distinct challenges surface when modelling low-count time series,…

Machine Learning · Computer Science 2023-11-21 Philipp Renz , Kurt Cutajar , Niall Twomey , Gavin K. C. Cheung , Hanting Xie