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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.…

统计理论 · 数学 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…

统计方法学 · 统计学 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:…

统计方法学 · 统计学 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…

信号处理 · 电气工程与系统科学 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…

应用统计 · 统计学 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…

统计方法学 · 统计学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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…

统计理论 · 数学 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…

机器学习 · 计算机科学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 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…

统计方法学 · 统计学 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…

统计理论 · 数学 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…

应用统计 · 统计学 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,…

统计方法学 · 统计学 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…

统计理论 · 数学 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…

统计方法学 · 统计学 2020-09-07 Sharmodeep Bhattacharyya , Shirshendu Chatterjee , Soumendu Sundar Mukherjee

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…

系统与控制 · 计算机科学 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…

信息论 · 计算机科学 2023-10-27 Venugopal V. Veeravalli , Georgios Fellouris , George V. Moustakides