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Change-point detection, detecting an abrupt change in the data distribution from sequential data, is a fundamental problem in statistics and machine learning. CUSUM is a popular statistical method for online change-point detection due to…

Machine Learning · Computer Science 2024-03-12 Tingnan Gong , Junghwan Lee , Xiuyuan Cheng , Yao Xie

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

We consider online monitoring of the network event data to detect local changes in a cluster when the affected data stream distribution shifts from one point process to another with different parameters. Specifically, we are interested in…

Methodology · Statistics 2022-12-26 Rui Zhang , Haoyun Wang , Yao Xie

In this paper, we attempt to detect an inflection or change-point resulting from the Covid-19 pandemic on supply chain data received from a large furniture company. To accomplish this, we utilize a modified CUSUM (Cumulative Sum) procedure…

Machine Learning · Computer Science 2022-11-23 Khurram Yamin , Haoyun Wang , Benoit Montreuil , Yao Xie

In a variety of different settings cumulative sum (CUSUM) procedures have been applied for the sequential detection of structural breaks in the parameters of stochastic models. Yet their performance depends strongly on the time of change…

Methodology · Statistics 2013-08-07 Stefan Fremdt

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

Statistics Theory · Mathematics 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

We present a computationally efficient online kernel Cumulative Sum (CUSUM) method for change-point detection that utilizes the maximum over a set of kernel statistics to account for the unknown change-point location. Our approach exhibits…

Methodology · Statistics 2026-01-07 Song Wei , Yao Xie

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic

We propose an online detection procedure for cascading failures in the network from sequential data, which can be modeled as multiple correlated change-points happening during a short period. We consider a temporal diffusion network model…

Other Statistics · Statistics 2021-02-09 Rui Zhang , Yao Xie , Rui Yao , Feng Qiu

Detecting change points sequentially in a streaming setting, especially when both the mean and the variance of the signal can change, is often a challenging task. A key difficulty in this context often involves setting an appropriate…

Methodology · Statistics 2022-11-01 Nauman Ahad , Mark A. Davenport , Yao Xie

We consider the sequential change-point detection problem of detecting changes that are characterized by a subspace structure. Such changes are frequent in high-dimensional streaming data altering the form of the corresponding covariance…

Statistics Theory · Mathematics 2018-06-29 Liyan Xie , George V. Moustakides , Yao Xie

Sequential change-point detection seeks to rapidly identify distributional changes in streaming data while controlling false alarms. Existing multi-stream detection methods typically rely on non-private access to raw observations or…

Statistics Theory · Mathematics 2026-04-16 Lixing Zhang , Liyan Xie , Ruizhi Zhang

Detecting change-points in data is challenging because of the range of possible types of change and types of behaviour of data when there is no change. Statistically efficient methods for detecting a change will depend on both of these…

Machine Learning · Statistics 2024-08-29 Jie Li , Paul Fearnhead , Piotr Fryzlewicz , Tengyao Wang

In this work, we aim to provide a new and efficient recursive detection method for temporarily monitored signals. Motivated by the case of the propagation of an event over a field of sensors, we assumed that the change in the statistical…

Applications · Statistics 2022-03-17 V. Watson , F. Septier , P. Armand , C. Duchenne

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

Statistics Theory · Mathematics 2023-06-05 Haoyun Wang , Yao Xie

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

Statistics Theory · Mathematics 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

Point processes are widely used statistical models for continuous-time discrete event data, such as medical records, crime reports, and social network interactions, to capture the influence of historical events on future occurrences. In…

Machine Learning · Statistics 2026-01-13 Xiuyuan Cheng , Tingnan Gong , Yao Xie

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

Methodology · Statistics 2024-12-16 Yuhan Tian , Abolfazl Safikhani
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