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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…

Statistics Theory · Mathematics 2012-11-19 Taposh Banerjee , Venugopal V. Veeravalli

Structural changes occur in dynamic networks quite frequently and its detection is an important question in many situations such as fraud detection or cybersecurity. Real-life networks are often incompletely observed due to individual…

Statistics Theory · Mathematics 2025-03-14 Farida Enikeeva , Olga Klopp

We consider the problem of sequential detection of a change in the statistical behavior of a hidden Markov model. By adopting a worst-case analysis with respect to the time of change and by taking into account the data that can be accessed…

Statistics Theory · Mathematics 2019-01-29 George V. Moustakides

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…

Applications · Statistics 2016-01-12 Georgios Fellouris , Grigory Sokolov

The problem of quickest change detection is studied in the context of detecting an arbitrary unknown mean-shift in multiple independent Gaussian data streams. The James-Stein estimator is used in constructing detection schemes that exhibit…

Statistics Theory · Mathematics 2026-04-21 Topi Halme , Venugopal V. Veeravalli , Visa Koivunen

In this paper we consider the problem of quickly detecting changes in an intermittent signal that can (repeatedly) switch between a normal and an anomalous state. We pose this intermittent signal detection problem as an optimal stopping…

Systems and Control · Computer Science 2018-04-27 Jasmin James , Jason J. Ford , Timothy L. Molloy

A change point detection (CPD) framework assisted by a predictive machine learning model called "Predict and Compare" is introduced and characterised in relation to other state-of-the-art online CPD routines which it outperforms in terms of…

Machine Learning · Computer Science 2024-06-05 Anna-Christina Glock , Florian Sobieczky , Johannes Fürnkranz , Peter Filzmoser , Martin Jech

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…

Statistics Theory · Mathematics 2022-11-24 Austin Warner , Georgios Fellouris

The aim of online monitoring is to issue an alarm as soon as there is significant evidence in the collected observations to suggest that the underlying data generating mechanism has changed. This work is concerned with open-end,…

Statistics Theory · Mathematics 2020-07-21 Mark Holmes , Ivan Kojadinovic

The problem of sequentially detecting a moving anomaly which affects different parts of a sensor network with time is studied. Each network sensor is characterized by a non-anomalous and anomalous distribution, governing the generation of…

Statistics Theory · Mathematics 2020-07-30 Georgios Rovatsos , George V. Moustakides , Venugopal V. Veeravalli

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

Statistics Theory · Mathematics 2021-04-08 Jack Noonan

We introduce a novel, practically relevant variation of the anomaly detection problem in multi-variate time series: intrinsic anomaly detection. It appears in diverse practical scenarios ranging from DevOps to IoT, where we want to…

The problem of quickest change detection (QCD) under transient dynamics is studied, where the change from the initial distribution to the final persistent distribution does not happen instantaneously, but after a series of transient phases.…

Statistics Theory · Mathematics 2018-12-13 Shaofeng Zou , Georgios Fellouris , Venugopal V. Veeravalli

We study the change detection problem with an unknown post-change distribution. Under this constraint, the unknown change in the distribution of observations may occur in many ways without much structure on the observations, whereas, before…

Signal Processing · Electrical Eng. & Systems 2020-12-11 Deniz Sargun , C. Emre Koksal

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution $f_{\theta}$ and tries to minimize the detection delay for every possible post-change…

Statistics Theory · Mathematics 2007-06-13 Yajun Mei

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

Applications · Statistics 2016-09-27 Alexey Artemov , Evgeny Burnaev

This paper considers a sequence of random variables generated according to a common distribution. The distribution might undergo periods of transient changes at an unknown set of time instants, referred to as change-points. The objective is…

Information Theory · Computer Science 2018-04-26 Javad Heydari , Ali Tajer

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…

Information Theory · Computer Science 2015-06-19 George Atia

In sequential change detection, existing performance measures differ significantly in the way they treat the time of change. By modeling this quantity as a random time, we introduce a general framework capable of capturing and better…

Statistics Theory · Mathematics 2008-12-18 George V. Moustakides

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…