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We present new methods for batch anomaly detection in multivariate time series. Our methods are based on maximizing the Kullback-Leibler divergence between the data distribution within and outside an interval of the time series. An…

There are numerous methods for detecting anomalies in time series, but that is only the first step to understanding them. We strive to exceed this by explaining those anomalies. Thus we develop a novel attribution scheme for multivariate…

机器学习 · 计算机科学 2021-09-15 Violeta Teodora Trifunov , Maha Shadaydeh , Björn Barz , Joachim Denzler

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…

信号处理 · 电气工程与系统科学 2024-05-07 Ruikun Zhou , Wail Gueaieb , Davide Spinello

On-line detection of anomalies in time series is a key technique used in various event-sensitive scenarios such as robotic system monitoring, smart sensor networks and data center security. However, the increasing diversity of data sources…

机器学习 · 计算机科学 2021-04-26 Wentai Wu , Ligang He , Weiwei Lin , Yi Su , Yuhua Cui , Carsten Maple , Stephen Jarvis

Anomaly detection for time-series data has been an important research field for a long time. Seminal work on anomaly detection methods has been focussing on statistical approaches. In recent years an increasing number of machine learning…

机器学习 · 计算机科学 2020-04-02 Mohammad Braei , Sebastian Wagner

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…

应用统计 · 统计学 2020-06-09 Krishnam Kapoor

Anomaly detection in multivariate time series is an important problem across various fields such as healthcare, financial services, manufacturing or physics detector monitoring. Accurately identifying when unexpected errors or faults occur…

机器学习 · 计算机科学 2025-06-26 Laura Boggia , Rafael Teixeira de Lima , Bogdan Malaescu

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…

机器学习 · 计算机科学 2020-02-19 Mehmet Necip Kurt , Yasin Yilmaz , Xiaodong Wang

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…

机器学习 · 计算机科学 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

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…

机器学习 · 计算机科学 2020-09-07 Hang Zhao , Yujing Wang , Juanyong Duan , Congrui Huang , Defu Cao , Yunhai Tong , Bixiong Xu , Jing Bai , Jie Tong , Qi Zhang

Gaussian Processes and the Kullback-Leibler divergence have been deeply studied in Statistics and Machine Learning. This paper marries these two concepts and introduce the local Kullback-Leibler divergence to learn about intervals where two…

统计方法学 · 统计学 2023-07-13 Nicolás Hernández , Gabriel Martos

In this paper, we aim to improve multivariate anomaly detection (AD) by modeling the \textit{time-varying non-linear spatio-temporal correlations} found in multivariate time series data . In multivariate time series data, an anomaly may be…

机器学习 · 计算机科学 2025-09-19 Padmaksha Roy , Almuatazbellah Boker , Lamine Mili

The detection of the abnormal area from urban data is a significant research problem. However, to the best of our knowledge, previous methods designed on spatio-temporal anomalies are road-based or grid-based, which usually causes the data…

社会与信息网络 · 计算机科学 2020-07-16 Huaishao Luo , Chuishi Meng , Bowen Wu , Junbo Zhang , Tianrui Li , Yu Zheng

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…

机器学习 · 计算机科学 2022-01-31 Kyeong-Joong Jeong , Yong-Min Shin

We propose a method to measure real-valued time series irreversibility which combines two differ- ent tools: the horizontal visibility algorithm and the Kullback-Leibler divergence. This method maps a time series to a directed network…

数据分析、统计与概率 · 物理学 2015-05-30 Lucas Lacasa , Ángel M. Núñez , Édgar Roldán , Juan M. R. Parrondo , Bartolo Luque

The anomaly detection problem for univariate or multivariate time series is a critical question in many practical applications as industrial processes control, biological measures, engine monitoring, supervision of all kinds of behavior. In…

统计理论 · 数学 2020-10-16 Marie Cottrell , Cynthia Faure , Jérôme Lacaille , Madalina Olteanu

Testing whether two multivariate samples exhibit the same extremal behavior is an important problem in various fields including environmental and climate sciences. While several ad-hoc approaches exist in the literature, they often lack…

统计理论 · 数学 2026-02-03 Sebastian Engelke , Philippe Naveau , Chen Zhou

This paper considers the real-time detection of anomalies in high-dimensional systems. The goal is to detect anomalies quickly and accurately so that the appropriate countermeasures could be taken in time, before the system possibly gets…

机器学习 · 计算机科学 2020-07-16 Mahsa Mozaffari , Yasin Yilmaz

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…

应用统计 · 统计学 2016-08-17 Evgeny Burnaev , Vladislav Ishimtsev

We introduce a novel, practically relevant variation of the anomaly detection problem in multi-variate time series: intrinsic anomaly detection. It appears in diverse practical scenarios ranging from DevOps to IoT, where we want to…

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