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Recent advances in technology have brought major breakthroughs in data collection, enabling a large amount of data to be gathered over time and thus generating time series. Mining this data has become an important task for researchers and…

Machine Learning · Computer Science 2020-02-12 Ane Blázquez-García , Angel Conde , Usue Mori , Jose A. Lozano

Outlier detection can serve as an extremely important tool for researchers from a wide range of fields. From the sectors of banking and marketing to the social sciences and healthcare sectors, outlier detection techniques are very useful…

Methodology · Statistics 2023-12-12 Efthymios Costa , Ioanna Papatsouma

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

We propose a Kullback-Leibler Divergence (KLD) filter to extract anomalies within data series generated by a broad class of proximity sensors, along with the anomaly locations and their relative sizes. The technique applies to devices…

Signal Processing · Electrical Eng. & Systems 2024-05-07 Ruikun Zhou , Wail Gueaieb , Davide Spinello

Anomaly detection is the process of finding data points that deviate from a baseline. In a real-life setting, anomalies are usually unknown or extremely rare. Moreover, the detection must be accomplished in a timely manner or the risk of…

Machine Learning · Computer Science 2019-04-26 Mariem Ben Fadhel , Kofi Nyarko

In recent years, some researchers have applied diffusion models to multivariate time series anomaly detection. The partial diffusion strategy, which depends on the diffusion steps, is commonly used for anomaly detection in these models.…

Machine Learning · Computer Science 2025-01-06 Guangqiang Wu , Fu Zhang

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…

Anomaly detection is a longstanding and active research area that has many applications in domains such as finance, security, and manufacturing. However, the efficiency and performance of anomaly detection algorithms are challenged by the…

Machine Learning · Computer Science 2025-04-16 Yang Cao , Haolong Xiang , Hang Zhang , Ye Zhu , Kai Ming Ting

Detecting anomalies in multivariate time-series data is essential in many real-world applications. Recently, various deep learning-based approaches have shown considerable improvements in time-series anomaly detection. However, existing…

Machine Learning · Computer Science 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

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

This paper addresses the problem of distributed detection in fixed and switching networks. A network of agents observe partially informative signals about the unknown state of the world. Hence, they collaborate with each other to identify…

Systems and Control · Computer Science 2016-01-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

Mechanical defects in real situations affect observation values and cause abnormalities in multivariate time series, such as sensor values or network data. To perceive abnormalities in such data, it is crucial to understand the temporal…

Machine Learning · Computer Science 2023-05-09 Yungi Jeong , Eunseok Yang , Jung Hyun Ryu , Imseong Park , Myungjoo Kang

Estimating Kullback-Leibler divergence from identical and independently distributed samples is an important problem in various domains. One simple and effective estimator is based on the k nearest neighbor distances between these samples.…

Information Theory · Computer Science 2020-02-27 Puning Zhao , Lifeng Lai

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

The capability of a novel Kullback-Leibler divergence method is examined herein within the Kalman filter framework to select the input-parameter-state estimation execution with the most plausible results. This identification suffers from…

Signal Processing · Electrical Eng. & Systems 2025-11-05 Marios Impraimakis

We study the minimax estimation of $\alpha$-divergences between discrete distributions for integer $\alpha\ge 1$, which include the Kullback--Leibler divergence and the $\chi^2$-divergences as special examples. Dropping the usual…

Information Theory · Computer Science 2021-03-04 Yanjun Han , Jiantao Jiao , Tsachy Weissman

Observations in data which are significantly different from its neighbouring points but cannot be classified as noise are known as anomalies or outliers. These anomalies are a cause of concern and a timely warning about their presence could…

Applications · Statistics 2020-06-09 Krishnam Kapoor

In this paper we propose a novel machine-learning method for anomaly detection applicable to data with periodic characteristics where randomly varying period lengths are explicitly allowed. A multi-dimensional time series analysis is…

Signal Processing · Electrical Eng. & Systems 2019-05-22 Lia Ahrens , Julian Ahrens , Hans D. Schotten

Anomaly detection is a fundamental task for time series analytics with important implications for the downstream performance of many applications. Despite increasing academic interest and the large number of methods proposed in the…

Machine Learning · Computer Science 2025-12-03 Emmanouil Sylligardos , John Paparrizos , Themis Palpanas , Pierre Senellart , Paul Boniol

Anomaly detection in multivariate time series is essential across domains such as healthcare, cybersecurity, and industrial monitoring, yet remains fundamentally challenging due to high-dimensional dependencies, the presence of…

Machine Learning · Computer Science 2026-02-10 Xiaona Zhou , Constantin Brif , Ismini Lourentzou