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Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

机器学习 · 计算机科学 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

Algorithms are developed for the quickest detection of a change in statistically periodic processes. These are processes in which the statistical properties are nonstationary but repeat after a fixed time interval. It is assumed that the…

统计方法学 · 统计学 2023-03-07 Yousef Oleyaeimotlagh , Taposh Banerjee , Ahmad Taha , Eugene John

The problem of sequentially detecting an abrupt change in a sequence of independent and identically distributed (IID) random variables is addressed. Whereas previous approaches assume a known probability density function (PDF) at the start…

统计理论 · 数学 2017-12-11 James Falt , Steven D. Blostein

We first consider the sequential detection of transient signals by generalizing the moving average chart to exponential family and study the false detection probability (FDP) and power of detection (POD) in the steady state. Then windowed…

统计理论 · 数学 2022-06-24 Yanhong Wu

We propose a quickest change detection problem over sensor networks where both the subset of sensors undergoing a change and the local post-change distributions are unknown. Each sensor in the network observes a local discrete time random…

信号处理 · 电气工程与系统科学 2021-02-11 Deniz Sargun , C. Emre Koksal

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

Quickest change point detection is concerned with the detection of statistical change(s) in sequences while minimizing the detection delay subject to false alarm constraints. In this paper, the problem of change point detection is studied…

信息论 · 计算机科学 2015-06-19 George Atia

This paper considers the constrained sampling multi-stream quickest change detection problem, also known as the bandit quickest change detection problem. One stream contains a change-point that shifts its mean by an unknown amount. The goal…

系统与控制 · 电气工程与系统科学 2026-03-30 Joshua Kartzman , Calvin Hawkins , Matthew Hale

We are concerned with the problem of detecting a single change point in the model parameters of time series data generated from an exponential family. In contrast to the existing literature, we allow that the true location of the change…

统计理论 · 数学 2022-07-07 Cassandra Milbradt

A finite-horizon variant of the quickest change detection (QCD) problem that is of relevance to learning in non-stationary environments is studied. The metric characterizing false alarms is the probability of a false alarm occurring before…

信息论 · 计算机科学 2025-11-18 Yu-Han Huang , Venugopal V. Veeravalli

We consider the quickest change detection problem where both the parameters of pre- and post- change distributions are unknown, which prevents the use of classical simple hypothesis testing. Without additional assumptions, optimal solutions…

机器学习 · 计算机科学 2021-06-10 Firas Jarboui , Viannet Perchet

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

信息论 · 计算机科学 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

Sequential change detection is a classical problem with a variety of applications. However, the majority of prior work has been parametric, for example, focusing on exponential families. We develop a fundamentally new and general framework…

统计方法学 · 统计学 2023-10-31 Jaehyeok Shin , Aaditya Ramdas , Alessandro Rinaldo

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

统计理论 · 数学 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

Sequential change diagnosis is the joint problem of detection and identification of a sudden and unobservable change in the distribution of a random sequence. In this problem, the common probability law of a sequence of i.i.d. random…

概率论 · 数学 2007-10-29 Savas Dayanik , Christian Goulding , H. Vincent Poor

A generalized multisensor sequential change detection problem is considered, in which a number of (possibly correlated) sensors monitor an environment in real time, the joint distribution of their observations is determined by a global…

应用统计 · 统计学 2016-01-12 Georgios Fellouris , Grigory Sokolov

From a sequence of similarity networks, with edges representing certain similarity measures between nodes, we are interested in detecting a change-point which changes the statistical property of the networks. After the change, a subset of…

统计理论 · 数学 2016-12-06 Shanshan Cao , Yao Xie

The task of monitoring for a change in the mean of a sequence of Bernoulli random variables has been widely studied. However most existing approaches make at least one of the following assumptions, which may be violated in many real-world…

统计计算 · 统计学 2015-05-08 Gordon J. Ross , Dimitris K. Tasoulis , Niall M. Adams

The purpose of this study is to provide a new methodology of how one can consistently estimate a change-point in time series data. In contrast with previous studies, the suggested methodology employs only the empirical spectral density and…

统计方法学 · 统计学 2016-11-22 Gyorgy H. Terdik , Stergios B. Fotopoulos , Venkata K. Jandhyala