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Dynamic networks consist of a sequence of time-varying networks, and it is of great importance to detect the network change points. Most existing methods focus on detecting abrupt change points, necessitating the assumption that the…

Methodology · Statistics 2023-10-13 Yuzhao Zhang , Jingnan Zhang , Yifan Sun , Junhui Wang

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 propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li

We suggest a novel procedure for online change point detection. Our approach expands an idea of maximizing a discrepancy measure between points from pre-change and post-change distributions. This leads to flexible algorithms suitable for…

Machine Learning · Statistics 2026-03-24 Nikita Puchkin , Artur Goldman , Konstantin Yakovlev , Valeriia Dzis , Uliana Vinogradova

We propose an algorithm for simultaneously detecting and locating changepoints in a time series, and a framework for predicting the distribution of the next point in the series. The kernel of the algorithm is a system of equations that…

Applications · Statistics 2008-12-09 Allen B. Downey

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

Detecting a change point is a crucial task in statistics that has been recently extended to the quantum realm. A source state generator that emits a series of single photons in a default state suffers an alteration at some point and starts…

Score-based methods have recently seen increasing popularity in modeling and generation. Methods have been constructed to perform hypothesis testing and change-point detection with score functions, but these methods are in general not as…

Machine Learning · Statistics 2025-06-23 Sean Moushegian , Taposh Banerjee , Vahid Tarokh

High-dimensional changepoint inference, adaptable to diverse alternative scenarios, has attracted significant attention in recent years. In this paper, we propose an adaptive and robust approach to changepoint testing. Specifically, by…

Methodology · Statistics 2025-04-29 Jixuan Liu , Long Feng , Liuhua Peng , Zhaojun Wang

This paper deals with the problem of asymptotically optimal detection of changes in regime-switching stochastic models. We need to divide the whole obtained sample of data into several sub-samples with observations belonging to different…

Statistics Theory · Mathematics 2013-01-25 Boris Brodsky , Boris Darkhovsky

This paper examines LASSO, a widely-used $L_{1}$-penalized regression method, in high dimensional linear predictive regressions, particularly when the number of potential predictors exceeds the sample size and numerous unit root regressors…

Econometrics · Economics 2024-01-17 Ziwei Mei , Zhentao Shi

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

Methodology · Statistics 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

Modern information systems generate large volumes of data with anomalies that occur at unknown points in time and have to be detected quickly and reliably with low false alarm rates. The paper develops a general theory of quickest…

Statistics Theory · Mathematics 2023-05-16 Alexander G Tartakovsky , Valentin Spivak

Changepoint analysis deals with unsupervised detection and/or estimation of time-points in time-series data, when the distribution generating the data changes. In this article, we consider \emph{offline} changepoint detection in the context…

Computation and Language · Computer Science 2021-12-03 Avinandan Bose , Soumendu Sundar Mukherjee

Existing methods for high-dimensional changepoint detection and localization typically focus on changes in either the mean vector or the covariance matrix separately. This separation reduces detection power and localization accuracy when…

Statistics Theory · Mathematics 2025-08-28 Junfeng Cui , Guangming Pan , Guanghui Wang , Changliang Zou

We develop algorithms for detecting multiple changepoints in functional data when the number of changepoints is unknown (unsupervised case), when it is specified apriori (supervised case), and when certain bounds are available…

Methodology · Statistics 2025-11-19 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

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

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

Graph-based methods have shown particular strengths in change-point detection (CPD) tasks for high-dimensional nonparametric settings. However, existing CPD research has rarely addressed data with repeated measurements or local group…

Methodology · Statistics 2025-11-25 Serim Han , Jingru Zhang , Hoseung Song

Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi