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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

We present a simple and effective way to estimate the batch-norm statistics during test time, to fast adapt a source model to target test samples. Known as Test-Time Adaptation, most prior works studying this task follow two assumptions in…

Computer Vision and Pattern Recognition · Computer Science 2021-10-25 Xuefeng Hu , Gokhan Uzunbas , Sirius Chen , Rui Wang , Ashish Shah , Ram Nevatia , Ser-Nam Lim

Online change-point detection (OCPD) is important for application in various areas such as finance, biology, and the Internet of Things (IoT). However, OCPD faces major challenges due to high-dimensionality, and it is still rarely studied…

Machine Learning · Statistics 2019-06-10 Yang-Wen Sun , Katerina Papagiannouli , Vladmir Spokoiny

Offline change point detection retrospectively locates change points in a time series. Many nonparametric methods that target i.i.d. mean and variance changes fail in the presence of nonlinear temporal dependence, and model based methods…

Machine Learning · Statistics 2023-09-19 Noah D. Gade , Jordan Rodu

We consider the problem of efficient financial surveillance aimed at "on-the-go" detection of structural breaks (anomalies) in "live"-monitored financial time series. With the problem approached statistically, viz. as that of multi-cyclic…

Applications · Statistics 2015-12-04 Andrey Pepelyshev , Aleksey S. Polunchenko

Cumulative sum (CUSUM) charts are typically used to detect changes in a stream of observations e.g. shifts in the mean. Usually, after signalling, the chart is restarted by setting it to some value below the signalling threshold. We propose…

Methodology · Statistics 2013-07-30 Axel Gandy , F. Din-Houn Lau

We study the detection of change-points in time series. The classical CUSUM statistic for detection of jumps in the mean is known to be sensitive to outliers. We thus propose a robust test based on the Wilcoxon two-sample test statistic.…

Statistics Theory · Mathematics 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

In time series data analysis, detecting change points on a real-time basis (online) is of great interest in many areas, such as finance, environmental monitoring, and medicine. One promising means to achieve this is the Bayesian online…

Machine Learning · Statistics 2022-01-10 Ginga Yoshizawa

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

In this paper, we present an efficient statistical method (denoted as "Adaptive Resources Allocation CUSUM") to robustly and efficiently detect the hotspot with limited sampling resources. Our main idea is to combine the multi-arm bandit…

Machine Learning · Computer Science 2022-08-18 Jiuyun Hu , Yajun Mei , Sarah Holte , Hao Yan

We consider an online learning problem in environments with multiple change points. In contrast to the single change point problem that is widely studied using classical "high confidence" detection schemes, the multiple change point…

Machine Learning · Statistics 2026-02-13 Tomer Gafni , Garud Iyengar , Assaf Zeevi

We propose two procedures to detect a change in the mean of high-dimensional online data. One is based on a max-type U-statistic and another is based on a sum-type U-statistic. Theoretical properties of the two procedures are explored in…

Methodology · Statistics 2021-07-27 Jun Li

Relative entropy, as a divergence metric between two distributions, can be used for offline change-point detection and extends classical methods that mainly rely on moment-based discrepancies. To build a statistical test suitable for this…

Methodology · Statistics 2025-12-19 Matthieu Garcin , Louis Perot

We consider the problem of change-point estimation of the instantaneous phase of an observed time series. Such change points, or phase shifts, can be markers of information transfer in complex systems; their analysis occurring in geology,…

Applications · Statistics 2014-01-17 William Marshall , Paul Marriott

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 problem of quickest change detection with communication rate constraints is studied. A network of wireless sensors with limited computation capability monitors the environment and sends observations to a fusion center via wireless…

Systems and Control · Computer Science 2016-09-06 Xiaoqiang Ren , Karl H. Johansson , Dawei Shi , Ling Shi

Changepoint detection identifies times when the generative process of a time series changes, with applications in healthcare, cybersecurity, and finance. In multivariate settings, changes in cross-variable and temporal dependence are…

Methodology · Statistics 2026-05-11 Victor K. Khamesi , Edward A. K. Cohen , Niall M. Adams , Dean A. Bodenham

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

Machine Learning · Statistics 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu

Distributed change-point detection has been a fundamental problem when performing real-time monitoring using sensor-networks. We propose a distributed detection algorithm, where each sensor only exchanges CUSUM statistic with their…

Signal Processing · Electrical Eng. & Systems 2019-01-09 Qinghua Liu , Rui Zhang , Yao Xie

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
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