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Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

In this paper, we study the quickest change detection with mismatched post-change models. A change point is the time instant at which the distribution of a random process changes. The objective of quickest change detection is to minimize…

Methodology · Statistics 2016-01-27 Jingxian Wu , Jing Yang

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

We consider the change detection problem where the pre-change observation vectors are purely noise and the post-change observation vectors are noise-corrupted compressive measurements of sparse signals with a common support, measured using…

Signal Processing · Electrical Eng. & Systems 2019-01-25 Aditi Jain , Pradeep Sarvepalli , Srikrishna Bhashyam , Arun Pachai Kannu

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

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

Methodology · Statistics 2020-07-31 Gabriela Ciuperca

In the problem of quickest change detection (QCD), a change occurs at some unknown time in the distribution of a sequence of independent observations. This work studies a QCD problem where the change is either a bad change, which we aim to…

Statistics Theory · Mathematics 2024-05-03 Yu-Zhen Janice Chen , Jinhang Zuo , Venugopal V. Veeravalli , Don Towsley

Nonparametric control charts that can detect arbitrary distributional changes are highly desirable due to their flexibility to adapt to different distributional assumptions and distributional changes. However, most of such control charts in…

Methodology · Statistics 2017-12-15 Jun Li

The field of quickest change detection (QCD) concerns design and analysis of algorithms to estimate in real time the time at which an important event takes place and identify properties of the post-change behavior. The goal is to devise a…

Statistics Theory · Mathematics 2024-09-13 Austin Cooper , Sean Meyn

This paper presents DRE-CUSUM, an unsupervised density-ratio estimation (DRE) based approach to determine statistical changes in time-series data when no knowledge of the pre-and post-change distributions are available. The core idea behind…

Machine Learning · Computer Science 2022-01-28 Sudarshan Adiga , Ravi Tandon

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

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

We show optimality, in a well-defined sense, using cumulative sum (CUSUM) charts for detecting changes in distributions. We consider a setting with multiple changes between two known distributions. This result advocates the use of…

Methodology · Statistics 2012-05-10 F. Din-Houn Lau , Axel Gandy

Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

Statistics Theory · Mathematics 2016-01-20 Hock Peng Chan

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

Applications · Statistics 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

We present a distribution-free CUSUM procedure designed for online change detection in a time series of low-rank images, particularly when the change causes a mean shift. We represent images as matrix data and allow for temporal dependence,…

Methodology · Statistics 2025-02-28 Tingnan Gong , Seong-Hee Kim , Yao Xie

The problem of sequential change diagnosis is considered, where a sequence of independent random elements is accessed sequentially, there is an abrupt change in its distribution at some unknown time, and there are two main operational…

Statistics Theory · Mathematics 2023-10-03 Austin Warner , Georgios Fellouris

We consider the offline change point detection and localization problem in the context of piecewise stationary networks, where the observable is a finite sequence of networks. We develop algorithms involving some suitably modified CUSUM…

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

In the problem of quickest change detection, a change occurs at some unknown time in the distribution of a sequence of random vectors that are monitored in real time, and the goal is to detect this change as quickly as possible subject to a…

Information Theory · Computer Science 2023-10-27 Venugopal V. Veeravalli , Georgios Fellouris , George V. Moustakides