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We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

Methodology · Statistics 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

In this paper, we study statistical inference of change-points (CPs) in multi-dimensional sequence. In CP detection from a multi-dimensional sequence, it is often desirable not only to detect the location, but also to identify the subset of…

Machine Learning · Statistics 2021-10-19 Ryota Sugiyama , Hiroki Toda , Vo Nguyen Le Duy , Yu Inatsu , Ichiro Takeuchi

High-dimensional time series are characterized by a large number of measurements and complex dependence, and often involve abrupt change points. We propose a new procedure to detect change points in the mean of high-dimensional time series…

Methodology · Statistics 2019-03-19 Jun Li , Minya Xu , Ping-Shou Zhong , Lingjun Li

The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

Methodology · Statistics 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

Statistics Theory · Mathematics 2021-12-14 Baron Michael , Malov Sergey

We consider sequential change-point detection in parallel data streams, where each stream has its own change point. Once a change is detected in a data stream, this stream is deactivated permanently. The goal is to maximize the normal…

Statistics Theory · Mathematics 2021-07-15 Yunxiao Chen , Xiaoou Li

This paper proposes a new minimum description length procedure to detect multiple changepoints in time series data when some times are a priori thought more likely to be changepoints. This scenario arises with temperature time series…

Methodology · Statistics 2019-05-14 Yingbo Li , Robert Lund , Anuradha Hewaarachchi

We propose a new multiple change-point detection framework for multivariate and non-Euclidean data. First, we combine graph-based statistics with wild binary segmentation or seeded binary segmentation to search for a pool of candidate…

Methodology · Statistics 2021-10-05 Yuxuan Zhang , Hao Chen

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

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

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

Methodology · Statistics 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

Methodology · Statistics 2021-09-16 Hoseung Song , Hao Chen

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

This paper develops a novel change point identification method for high-dimensional data using random projections. By projecting high-dimensional time series into a one-dimensional space, we are able to leverage the rich literature for…

Methodology · Statistics 2026-03-04 Yi Xu , Yeonwoo Rho

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

Statistics Theory · Mathematics 2020-03-18 Hossein Keshavarz , George Michailidis

Change-point analysis is thriving in this big data era to address problems arising in many fields where massive data sequences are collected to study complicated phenomena over time. It plays an important role in processing these data by…

Methodology · Statistics 2022-03-23 Yi-Wei Liu , Hao Chen

We introduce and study two new inferential challenges associated with the sequential detection of change in a high-dimensional mean vector. First, we seek a confidence interval for the changepoint, and second, we estimate the set of indices…

Methodology · Statistics 2023-03-03 Yudong Chen , Tengyao Wang , Richard J. Samworth

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