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The problem of quickest change detection (QCD) in autoregressive (AR) models is investigated. A system is being monitored with sequentially observed samples. At some unknown time, a disturbance signal occurs and changes the distribution of…

Signal Processing · Electrical Eng. & Systems 2023-10-16 Zhongchang Sun , Shaofeng Zou

A sensor network is considered where a sequence of random variables is observed at each sensor. At each time step, a processed version of the observations is transmitted from the sensors to a common node called the fusion center. At some…

Statistics Theory · Mathematics 2014-08-21 Taposh Banerjee , Venugopal. V. Veeravalli

This work considers the problem of quickest detection of signals in a coupled system of $N$ sensors, which receive continuous sequential observations from the environment. It is assumed that the signals, which are modeled by general It\^{o}…

Optimization and Control · Mathematics 2016-03-11 Hongzhong Zhang , Olympia Hadjiliadis , Tobias Schäfer , H. Vincent Poor

We consider the problem of efficient on-line anomaly detection in computer network traffic. The problem is approached statistically, as that of sequential (quickest) changepoint detection. A multi-cyclic setting of quickest change detection…

Applications · Statistics 2013-07-23 Alexander G. Tartakovsky , Aleksey S. Polunchenko , Grigory Sokolov

Standard Control Chart techniques to detect level shift in data streams assume independence between observations. As data today is collected with high frequency, this assumption is seldom valid. To overcome this, we propose to adapt the…

Methodology · Statistics 2019-11-11 Jacob Søgaard Larsen , Anders Stockmarr , Bjarne Kjær Ersbøll , Murat Kulahci

Concept drift detection has attracted considerable attention due to its importance in many real-world applications such as health monitoring and fault diagnosis. Conventionally, most advanced approaches will be of poor performance when the…

Machine Learning · Computer Science 2023-03-31 Songqiao Hu , Zeyi Liu , Xiao He

We study a Wiener disorder problem of detecting the minimum of $N$ change-points in $N$ observation channels coupled by correlated noises. It is assumed that the observations in each dimension can have different strengths and that the…

Statistics Theory · Mathematics 2015-10-29 Hongzhong Zhang , Neofytos Rodosthenous , Olympia Hadjiliadis

The paper addresses a sequential changepoint detection problem, assuming that the duration of change may be finite and unknown. This problem is of importance for many applications, e.g., for signal and image processing where signals appear…

Statistics Theory · Mathematics 2021-06-09 Alexander G. Tartakovsky , Nikita R. Berenkov , Alexei E. Kolessa , Igor V. Nikiforov

While many real-world data streams imply that they change frequently in a nonstationary way, most of deep learning methods optimize neural networks on training data, and this leads to severe performance degradation when dataset shift…

Machine Learning · Computer Science 2021-07-02 Wonju Lee , Seok-Yong Byun , Jooeun Kim , Minje Park , Kirill Chechil

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

Methodology · Statistics 2025-09-03 Gokul Parakulum , Jun Li

This work proposes diffusion normalized least mean M-estimate algorithm based on the modified Huber function, which can equip distributed networks with robust learning capability in the presence of impulsive interference. In order to…

Machine Learning · Computer Science 2020-04-21 Y. Yu , H. He , T. Yang , X. Wang , R. C. de Lamare

Multi-stream sequential change detection involves simultaneously monitoring many streams of data and trying to detect when their distributions change, if at all. Here, we theoretically study multiple testing issues that arise from detecting…

Statistics Theory · Mathematics 2025-02-04 Sanjit Dandapanthula , Aaditya Ramdas

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

Statistics Theory · Mathematics 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

In scenarios where obtaining real-time labels proves challenging, conventional approaches may result in sub-optimal performance. This paper presents an optimal strategy for streaming contexts with limited labeled data, introducing an…

Machine Learning · Computer Science 2024-04-25 Rene Richard , Nabil Belacel

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

This article studies the problem of online non-parametric change point detection in multivariate data streams. We approach the problem through the lens of kernel-based two-sample testing and introduce a sequential testing procedure based on…

Machine Learning · Statistics 2025-10-31 Florian Kalinke , Shakeel Gavioli-Akilagun

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 the sequential change-point detection for asynchronous multi-sensors, where each sensor observe a signal (due to change-point) at different times. We propose an asynchronous Subspace-CUSUM procedure based on jointly estimating…

Applications · Statistics 2019-01-25 Liyan Xie , Yao Xie , George V. Moustakides

The problem of robust quickest change detection (QCD) in non-stationary processes under a multi-stream setting is studied. In classical QCD theory, optimal solutions are developed to detect a sudden change in the distribution of stationary…

Methodology · Statistics 2024-12-09 Yingze Hou , Hoda Bidkhori , Taposh Banerjee

The problem of quickest change detection in a sequence of independent observations is considered. The pre-change distribution is assumed to be known, while the post-change distribution is unknown. Two tests based on post-change density…

Statistics Theory · Mathematics 2023-11-28 Yuchen Liang , Venugopal V. Veeravalli