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Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi

Concerning machine learning, segmentation models can identify state changes within time series, facilitating the detection of transitions between normal and anomalous conditions. Specific techniques such as Change Point Detection (CPD),…

Machine Learning · Computer Science 2025-10-13 Emilio Mastriani , Alessandro Costa , Federico Incardona , Kevin Munari , Sebastiano Spinello

Unsupervised fault detection in multivariate time series plays a vital role in ensuring the stable operation of complex systems. Traditional methods often assume that normal data follow a single Gaussian distribution and identify anomalies…

Machine Learning · Computer Science 2025-07-01 Hong Liu , Xiuxiu Qiu , Yiming Shi , Miao Xu , Zelin Zang , Zhen Lei

We propose a novel Bayesian methodology for analyzing nonstationary time series that exhibit oscillatory behaviour. We approximate the time series using a piecewise oscillatory model with unknown periodicities, where our goal is to estimate…

We review recent developments in detecting and estimating multiple change-points in time series models with exogenous and endogenous regressors, panel data models, and factor models. This review differs from others in multiple ways: (1) it…

Econometrics · Economics 2025-07-31 Otilia Boldea , Alastair R. Hall

Time-series anomaly detection plays an important role in engineering processes, like development, manufacturing and other operations involving dynamic systems. These processes can greatly benefit from advances in the field, as…

Machine Learning · Computer Science 2024-11-22 Lucas Correia , Jan-Christoph Goos , Philipp Klein , Thomas Bäck , Anna V. Kononova

Organizations leverage anomaly and changepoint detection algorithms to detect changes in user behavior or service availability and performance. Many off-the-shelf detection algorithms, though effective, cannot readily be used in large…

Machine Learning · Computer Science 2022-05-25 Sourav Chatterjee , Rohan Bopardikar , Marius Guerard , Uttam Thakore , Xiaodong Jiang

A common approach to detect multiple changepoints is to minimise a measure of data fit plus a penalty that is linear in the number of changepoints. This paper shows that the general finite sample behaviour of such a method can be related to…

Statistics Theory · Mathematics 2022-08-15 Chao Zheng , Idris A. Eckley , Paul Fearnhead

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Logs enable the monitoring of infrastructure status and the performance of associated applications. Logs are also invaluable for diagnosing the root causes of any problems that may arise. Log Anomaly Detection (LAD) pipelines automate the…

Machine Learning · Computer Science 2023-10-24 Dipak Wani , Samuel Ackerman , Eitan Farchi , Xiaotong Liu , Hau-wen Chang , Sarasi Lalithsena

We describe our process for automatic detection of performance changes for a software product in the presence of noise. A large collection of tests run periodically as changes to our software product are committed to our source repository,…

Software Engineering · Computer Science 2020-03-03 David Daly , William Brown , Henrik Ingo , Jim O'Leary , David Bradford

In this paper, a new model-free anomaly detection framework is proposed for time-series induced by industrial dynamical systems.The framework lies in the category of conventional approaches which enable appealing features such as a learning…

Systems and Control · Electrical Eng. & Systems 2024-12-13 Mazen Alamir , Raphaël Dion

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

Methodology · Statistics 2024-07-16 Xinyu Zhang , Kung-Sik Chan

We consider the problem of efficient financial surveillance aimed at "on-the-go" detection of structural breaks (anomalies) in "live"-monitored financial time series. With the problem approached statistically, viz. as that of multi-cyclic…

Applications · Statistics 2015-12-04 Andrey Pepelyshev , Aleksey S. Polunchenko

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

Changepoints are abrupt variations in the underlying distribution of data. Detecting changes in a data stream is an important problem with many applications. In this paper, we are interested in changepoint detection algorithms which operate…

Machine Learning · Computer Science 2022-01-12 Zhaohui Wang , Xiao Lin , Abhinav Mishra , Ram Sriharsha

The paper investigates the problems of quickest change detection in Markov models and hidden Markov models (HMMs). Sequential observations are taken from a (hidden) Markov model. At some unknown time, an event occurs in the system and…

Signal Processing · Electrical Eng. & Systems 2023-11-09 Qi Zhang , Zhongchang Sun , Luis C. Herrera , Shaofeng Zou

We present a Bayesian approach for modeling multivariate, dependent functional data. To account for the three dominant structural features in the data--functional, time dependent, and multivariate components--we extend hierarchical dynamic…

Methodology · Statistics 2019-07-02 Daniel R. Kowal , David S. Matteson , David Ruppert