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Interactions among people or objects are often dynamic in nature and can be represented as a sequence of networks, each providing a snapshot of the interactions over a brief period of time. An important task in analyzing such evolving…

Social and Information Networks · Computer Science 2016-06-17 Leto Peel , Aaron Clauset

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

Machine Learning · Computer Science 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

This paper investigates sequential change-point detection in reconfigurable sensor networks. In this problem, data from multiple sensors are observed sequentially. Each sensor can have a unique change point, and the data distribution…

Methodology · Statistics 2025-04-10 Seungwon Lee , Yunxiao Chen , Xiaoou Li

Change-point detection has been a classical problem in statistics and econometrics. This work focuses on the problem of detecting abrupt distributional changes in the data-generating distribution of a sequence of high-dimensional…

Methodology · Statistics 2021-05-20 Shubhadeep Chakraborty , Xianyang Zhang

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

Methodology · Statistics 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical change-point detection algorithm based on non-parametric divergence estimation…

Machine Learning · Statistics 2015-03-20 Song Liu , Makoto Yamada , Nigel Collier , Masashi Sugiyama

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

Statistics Theory · Mathematics 2008-01-08 Nathalie Akakpo

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

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

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

Methodology · Statistics 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

In preliminary analysis of control charts, one may encounter multiple shifts and/or outliers especially with a large number of observations. The following paper addresses this problem. A statistical model for detecting and estimating…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

Information Theory · Computer Science 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

We consider the problem of detecting abrupt changes (i.e., large jump discontinuities) in the rate function of a point process. The rate function is assumed to be fully unknown, non-stationary, and may itself be a random process that…

Statistics Theory · Mathematics 2025-01-16 Anna Brandenberger , Elchanan Mossel , Anirudh Sridhar

We propose a method to infer the presence and location of change-points in the distribution of a sequence of independent data taking values in a general metric space, where change-points are viewed as locations at which the distribution of…

Methodology · Statistics 2020-01-15 Paromita Dubey , Hans-Georg Müller

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

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

Statistics Theory · Mathematics 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

Recent findings suggest that abnormal operating conditions of equipment in the oil and gas supply chain represent a large fraction of anthropogenic methane emissions. Thus, effective mitigation of emissions necessitates rapid identification…

Applications · Statistics 2021-09-06 Amir Montazeri , Xiaochi Zhou , John D. Albertson

Multivariate data sources with components of different information value seem to appear frequently in practice. Models in which the components change their homogeneity at different times are of significant importance. The fact whether any…

Optimization and Control · Mathematics 2020-11-04 Krzysztof Szajowski

In change-point analysis, one aims at finding the locations of abrupt distributional changes (if any) in a sequence of multivariate observations. In this article, we propose some nonparametric methods based on averages of pairwise distances…

Statistics Theory · Mathematics 2025-11-14 Spandan Ghoshal , Bilol Banerjee , Anil K. Ghosh