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In safety-critical Cyber-Physical Systems (CPS), accurate trajectory prediction provides vital guidance for downstream planning and control, yet although deep learning models achieve high-fidelity forecasts on validation data, their…

Robotics · Computer Science 2026-03-17 Tongfei Guo , Lili Su

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

Methodology · Statistics 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

Change point detection (CPD) methods aim to identify abrupt shifts in the distribution of input data streams. Accurate estimators for this task are crucial across various real-world scenarios. Yet, traditional unsupervised CPD techniques…

Machine Learning · Computer Science 2024-12-04 Alexandra Bazarova , Evgenia Romanenkova , Alexey Zaytsev

By informing the onset of the degradation process, health status evaluation serves as a significant preliminary step for reliable remaining useful life (RUL) estimation of complex equipment. This paper proposes a novel temporal dynamics…

Machine Learning · Computer Science 2024-01-10 Anushiya Arunan , Yan Qin , Xiaoli Li , Chau Yuen

The pattern of state changes in a biomedical time series can be related to health or disease. This work presents a principled approach for selecting a changepoint detection algorithm for a specific task, such as disease classification.…

Machine Learning · Computer Science 2024-04-22 Ayse Cakmak , Erik Reinertsen , Shamim Nemati , Gari D. Clifford

Changepoint detection is the problem of finding abrupt or gradual changes in time series data when the distribution of the time series changes significantly. There are many sophisticated statistical algorithms for solving changepoint…

Methodology · Statistics 2020-10-14 Ritwik Bhaduri , Subhrajyoty Roy , Sankar K. Pal

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

Methodology · Statistics 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

Machine Learning · Computer Science 2023-05-23 Mario Krause

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

Methodology · Statistics 2018-05-01 Hao Chen

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

Change point detection has become an important part of the analysis of the single-particle tracking data, as it allows one to identify moments, in which the motion patterns of observed particles undergo significant changes. The segmentation…

Quantitative Methods · Quantitative Biology 2025-06-23 Jakub Malinowski , Marcin Kostrzewa , Michał Balcerek , Weronika Tomczuk , Janusz Szwabiński

We propose two procedures to detect a change in the mean of high-dimensional online data. One is based on a max-type U-statistic and another is based on a sum-type U-statistic. Theoretical properties of the two procedures are explored in…

Methodology · Statistics 2021-07-27 Jun Li

We propose a family of weighted statistics based on the CUSUM process of the WLS residuals for the online detection of changepoints in a Random Coefficient Autoregressive model, using both the standard CUSUM and the Page-CUSUM process. We…

Methodology · Statistics 2025-03-12 Lajos Horváth , Lorenzo Trapani

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidden Markov Model with the Classification-EM (CEM) algorithm.…

Computation · Statistics 2024-10-14 Modibo Diabaté , Grégory Nuel , Olivier Bouaziz

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

Machine Learning · Statistics 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu

Anomaly detection (AD) has been recently employed in the context of edge cloud computing, e.g., for intrusion detection and identification of performance issues. However, state-of-the-art anomaly detection procedures do not systematically…

Networking and Internet Architecture · Computer Science 2024-01-17 Sotiris Skaperas , George Koukis , Ioanna Angeliki Kapetanidou , Vassilis Tsaoussidis , Lefteris Mamatas

A novel approach to quantile estimation in multivariate linear regression models with change-points is proposed: the change-point detection and the model estimation are both performed automatically, by adopting either the quantile fused…

Statistics Theory · Mathematics 2019-04-10 Gabriela Ciuperca , Matus Maciak

In the quickest change detection problem in which both nuisance and critical changes may occur, the objective is to detect the critical change as quickly as possible without raising an alarm when either there is no change or a nuisance…

Statistics Theory · Mathematics 2019-10-23 Tze Siong Lau , Wee Peng Tay

Contrast pattern mining (CPM) aims to discover patterns whose support increases significantly from a background dataset compared to a target dataset. CPM is particularly useful for characterising changes in evolving systems, e.g., in…

Networking and Internet Architecture · Computer Science 2020-12-01 Elaheh AlipourChavary , Sarah M. Erfani , Christopher Leckie

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

Probability · Mathematics 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski
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