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The extension of traditional data mining methods to time series has been effectively applied to a wide range of domains such as finance, econometrics, biology, security, and medicine. Many existing mining methods deal with the task of…

Machine Learning · Computer Science 2023-12-19 Fabrizio Albertetti , Lionel Grossrieder , Olivier Ribaux , Kilian Stoffel

We propose the first Bayesian methods for detecting change points in high-dimensional mean and covariance structures. These methods are constructed using pairwise Bayes factors, leveraging modularization to identify significant changes in…

Methodology · Statistics 2024-11-25 Jaehoon Kim , Kyoungjae Lee , Lizhen Lin

Structural breaks have been commonly seen in applications. Specifically for detection of change points in time, research gap still remains on the setting in ultra high dimension, where the covariates may bear spurious correlations. In this…

Methodology · Statistics 2021-06-10 Xin Liu , Liwen Zhang , Zhen Zhang

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen

Detecting changepoints in datasets with many variates is a data science challenge of increasing importance. Motivated by the problem of detecting changes in the incidence of terrorism from a global terrorism database, we propose a novel…

Methodology · Statistics 2021-03-30 S. O. Tickle , I. A. Eckley , P. Fearnhead

This paper deals with off-line detection of change points for time series of independent observations, when the number of change points is unknown. We propose a sequential analysis like method with linear time and memory complexity. Our…

Statistics Theory · Mathematics 2015-03-13 Pierre R Bertrand , Mehdi Fhima

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

Change point detection in high dimensional data has found considerable interest in recent years. Most of the literature either designs methodology for a retrospective analysis, where the whole sample is already available when the…

Statistics Theory · Mathematics 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

The research described herewith investigates detecting change points of means and of variances in a sequence of observations. The number of change points can be divergent at certain rate as the sample size goes to infinity. We define a…

Methodology · Statistics 2020-03-04 Wenbiao Zhao , Xuehu Zhu , Lixing Zhu

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

Methodology · Statistics 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

The goal of the change-point detection is to discover changes of time series distribution. One of the state of the art approaches of the change-point detection are based on direct density ratio estimation. In this work we show how existing…

Machine Learning · Computer Science 2022-06-22 Mikhail Hushchyn , Andrey Ustyuzhanin

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The…

Statistics Theory · Mathematics 2025-11-25 Joseph Ngatchou-Wandji , Echarif Elharfaoui , Michel Harel

Data segmentation a.k.a. multiple change point analysis has received considerable attention due to its importance in time series analysis and signal processing, with applications in a variety of fields including natural and social sciences,…

Methodology · Statistics 2021-07-09 Haeran Cho , Claudia Kirch

We propose a novel approach for estimating the location of block boundaries (change-points) in a random matrix consisting of a block wise constant matrix observed in white noise. Our method consists in rephrasing this task as a variable…

Applications · Statistics 2016-03-14 Vincent Brault , Julien Chiquet , Céline Lévy-Leduc

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

Machine Learning · Computer Science 2023-01-24 Nikolaj Tatti

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

The ability to detect change-points in a dynamic network or a time series of graphs is an increasingly important task in many applications of the emerging discipline of graph signal processing. This paper formulates change-point detection…

Applications · Statistics 2023-07-19 Heng Wang , Minh Tang , Youngser Park , Carey E. Priebe

Detecting recent changepoints in time-series can be important for short-term prediction, as we can then base predictions just on the data since the changepoint. In many applications we have panel data, consisting of many related univariate…

Applications · Statistics 2017-10-20 Lawrence Bardwell , Idris Eckley , Paul Fearnhead , Simon Smith , Martin Spott

Change point detection becomes more and more important as datasets increase in size, where unsupervised detection algorithms can help users process data. To detect change points, a number of unsupervised algorithms have been developed which…

Numerical Analysis · Mathematics 2021-06-18 Rebecca Gedda , Larisa Beilina , Ruomu Tan