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Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

Machine Learning · Statistics 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

In many real-world problems of real-time monitoring high-dimensional streaming data, one wants to detect an undesired event or change quickly once it occurs, but under the sampling control constraint in the sense that one might be able to…

Methodology · Statistics 2022-04-12 Wanrong Zhang , Yajun Mei

Changepoint detection is commonly formulated by minimizing the sum of in-sample losses to quantify the model's overall fit. However, for flexible modeling procedures -- especially those involving high-dimensional parameter spaces or…

Methodology · Statistics 2026-05-05 Chengde Qian , Guanghui Wang , Zhaojun Wang , Changliang Zou

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

In recent years, machine learning has been adopted to complex networks, but most existing works concern about the structural properties. To use machine learning to detect phase transitions and accurately identify the critical transition…

Physics and Society · Physics 2020-01-08 Qi Ni , Ming Tang , Ying Liu , Ying-Cheng Lai

Many offline unsupervised change point detection algorithms rely on minimizing a penalized sum of segment-wise costs. We extend this framework by proposing to minimize a sum of discrepancies between segments. In particular, we propose to…

Machine Learning · Computer Science 2020-09-04 Aurélien Serre , Didier Chételat , Andrea Lodi

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 study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

Statistics Theory · Mathematics 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

Understanding actions within surgical workflows is critical for evaluating post-operative outcomes and enhancing surgical training and efficiency. Capturing and analyzing long sequences of actions in surgical settings is challenging due to…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Rezowan Shuvo , M S Mekala , Eyad Elyan

Changepoints are a very common feature of Big Data that arrive in the form of a data stream. In this paper, we study high-dimensional time series in which, at certain time points, the mean structure changes in a sparse subset of the…

Methodology · Statistics 2017-03-21 Tengyao Wang , Richard J. Samworth

We study the multichannel quickest change detection problem with bandit feedback and controlled sensing, in which an agent sequentially selects one of the data streams to observe at each time-step and aims to detect an unknown change as…

Information Theory · Computer Science 2026-03-31 Yu-Han Huang , Argyrios Gerogiannis , Subhonmesh Bose , Venugopal V. Veeravalli

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

Methodology · Statistics 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

Correlations between random variables play an important role in applications, e.g.\ in financial analysis. More precisely, accurate estimates of the correlation between financial returns are crucial in portfolio management. In particular,…

Methodology · Statistics 2014-01-31 Pedro Galeano , Dominik Wied

Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

Methodology · Statistics 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

We introduce a new approach for decoupling trends (drift) and changepoints (shifts) in time series. Our locally adaptive model-based approach for robustly decoupling combines Bayesian trend filtering and machine learning based…

Methodology · Statistics 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

Machine Learning · Statistics 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

Radar must adapt to changing environments, and we propose changepoint detection as a method to do so. In the world of increasingly congested radio frequencies, radars must adapt to avoid interference. Many radar systems employ the…

Systems and Control · Electrical Eng. & Systems 2022-07-15 Samuel Haug , Austin Egbert , Robert J. Marks , Charles Baylis , Anthony Martone

Kernel density estimation and kernel regression are powerful but computationally expensive techniques: a direct evaluation of kernel density estimates at $M$ evaluation points given $N$ input sample points requires a quadratic…

Computation · Statistics 2020-02-18 Nicolas Langrené , Xavier Warin

Changepoint models typically assume the data within each segment are independent and identically distributed conditional on some parameters which change across segments. This construction may be inadequate when data are subject to local…

Methodology · Statistics 2021-11-10 Karl L. Hallgren , Nicholas A. Heard , Niall M. Adams