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The classical problem of quickest change detection is studied with an additional constraint on the cost of observations used in the detection process. The change point is modeled as an unknown constant, and minimax formulations are proposed…

统计理论 · 数学 2012-11-19 Taposh Banerjee , Venugopal V. Veeravalli

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

We present a novel scheme to boost detection power for kernel maximum mean discrepancy based sequential change-point detection procedures. Our proposed scheme features an optimal sub-sampling of the history data before the detection…

统计方法学 · 统计学 2023-01-19 Song Wei , Chaofan Huang

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

统计理论 · 数学 2022-11-24 Austin Warner , Georgios Fellouris

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}…

最优化与控制 · 数学 2016-03-11 Hongzhong Zhang , Olympia Hadjiliadis , Tobias Schäfer , H. Vincent Poor

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…

We propose a framework to perform Bayesian inference using conditional score-based diffusion models to solve a class of inverse problems in mechanics involving the inference of a specimen's spatially varying material properties from noisy…

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

统计方法学 · 统计学 2023-11-07 Zhaoyuan Li , Jie Gao

We consider here the identification of change-points on large-scale data streams. The objective is to find the most efficient way of combining information across data stream so that detection is possible under the smallest detectable change…

统计理论 · 数学 2022-03-29 Shouri Hu , Jingyan Huang , Hao Chen , Hock Peng Chan

The problem of quickest detection of a change in the distribution of a sequence of independent observations is considered. The pre-change observations are assumed to be stationary with a known distribution, while the post-change…

信号处理 · 电气工程与系统科学 2022-10-19 Yuchen Liang , Alexander G. Tartakovsky , Venugopal V. Veeravalli

In many applications one is interested to detect certain (known) patterns in the mean of a process with smallest delay. Using an asymptotic framework which allows to capture that feature, we study a class of appropriate sequential…

统计理论 · 数学 2018-05-01 Ansgar Steland

The problem of structured matrix estimation has been studied mostly under strong noise dependence assumptions. This paper considers a general framework of noisy low-rank-plus-sparse matrix recovery, where the noise matrix may come from any…

机器学习 · 统计学 2025-04-07 Jinhang Chai , Jianqing Fan

In the classical quickest change detection problem, an observer performs a single experiment to monitor a stochastic process. The goal in the classical problem is to detect a change in the statistical properties of the process, with the…

信号处理 · 电气工程与系统科学 2025-10-08 Patrick Vincent N. Lubenia , Taposh Banerjee

Machine learning approaches commonly rely on the assumption of independent and identically distributed (i.i.d.) data. In reality, however, this assumption is almost always violated due to distribution shifts between environments. Although…

机器学习 · 计算机科学 2022-10-18 Ronan Perry , Julius von Kügelgen , Bernhard Schölkopf

It is commonly required to detect change points in sequences of random variables. In the most difficult setting of this problem, change detection must be performed sequentially with new observations being constantly received over time.…

统计方法学 · 统计学 2015-05-08 Gordon J Ross

A random sequence having two segments being the homogeneous Markov processes is registered. Each segment has his own transition probability law and the length of the segment is unknown and random. The transition probabilities of each…

统计理论 · 数学 2020-11-17 A. Ochman-Gozdek , W. Sarnowski , K. J. Szajowski

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 paper deals with a mathematical model of a surveillance system based on a net of sensors. The signals acquired by each node of the net are Markovian process, have two different transition probabilities, which depends on the presence or…

计算机科学与博弈论 · 计算机科学 2011-11-22 Krzysztof Szajowski

In this article, we consider the estimation of the structural change point in the nonparametric model with dependent observations. We introduce a maximum-CUSUM-estimation procedure, where the CUSUM statistic is constructed based on the…

应用统计 · 统计学 2020-12-03 Q. Yang , Y. Li , Y. Zhang

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

统计方法学 · 统计学 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou