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Modern information systems generate large volumes of data with anomalies that occur at unknown points in time and have to be detected quickly and reliably with low false alarm rates. The paper develops a general theory of quickest…

Statistics Theory · Mathematics 2023-05-16 Alexander G Tartakovsky , Valentin Spivak

The problem of detecting the presence of a signal that can lead to a disaster is studied. A decision-maker collects data sequentially over time. At some point in time, called the change point, the distribution of data changes. This change…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Tim Brucks , Taposh Banerjee , Rahul Mishra

The problem of quickest detection of a change in the mean of a sequence of independent observations is studied. The pre-change distribution is assumed to be stationary, while the post-change distributions are allowed to be non-stationary.…

Signal Processing · Electrical Eng. & Systems 2021-08-26 Yuchen Liang , Venugopal V. Veeravalli

Classical quickest change detection algorithms require modeling pre-change and post-change distributions. Such an approach may not be feasible for various machine learning models because of the complexity of computing the explicit…

Machine Learning · Statistics 2023-02-02 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

The problem of quickest change detection in a sequence of independent observations is considered. The pre-change distribution is assumed to be known, while the post-change distribution is completely unknown. A window-limited leave-one-out…

Signal Processing · Electrical Eng. & Systems 2022-11-07 Yuchen Liang , Venugopal V. Veeravalli

We consider a change detection problem in which the arrival rate of a Poisson process changes suddenly at some unknown and unobservable disorder time. It is assumed that the prior distribution of the disorder time is known. The objective is…

Optimization and Control · Mathematics 2007-05-23 Erhan Bayraktar , Semih Sezer

The problem of quickest anomaly detection in networks with unlabeled samples is studied. At some unknown time, an anomaly emerges in the network and changes the data-generating distribution of some unknown sensor. The data vector received…

Signal Processing · Electrical Eng. & Systems 2023-04-19 Zhongchang Sun , Shaofeng Zou

When deploying modern machine learning-enabled robotic systems in high-stakes applications, detecting distribution shift is critical. However, most existing methods for detecting distribution shift are not well-suited to robotics settings,…

Theory and algorithms are developed for detecting changes in the distribution of statistically periodic random processes. The statistical periodicity is modeled using independent and periodically identically distributed processes, a new…

Signal Processing · Electrical Eng. & Systems 2019-08-14 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

Detecting abrupt changes in data streams is crucial because they are often triggered by events that have important consequences if left unattended. Quickest change point detection has become a vital sequential analysis primitive that aims…

Quantum Physics · Physics 2023-10-23 Marco Fanizza , Christoph Hirche , John Calsamiglia

Detecting an abrupt and persistent change in the underlying distribution of online data streams is an important problem in many applications. This paper proposes a new robust score-based algorithm called RSCUSUM, which can be applied to…

Methodology · Statistics 2023-06-09 Suya Wu , Enmao Diao , Taposh Banerjee , Jie Ding , Vahid Tarokh

In this paper, we consider the problem of quickest change point detection and identification over a linear array of $N$ sensors, where the change pattern could first reach any of these sensors, and then propagate to the other sensors. Our…

Information Theory · Computer Science 2013-05-21 Di Li , Lifeng Lai , Shuguang Cui

Many industrial and security applications employ a suite of sensors for detecting abrupt changes in temporal behavior patterns. These abrupt changes typically manifest locally, rendering only a small subset of sensors informative.…

Machine Learning · Computer Science 2023-06-14 Aditya Gopalan , Venkatesh Saligrama , Braghadeesh Lakshminarayanan

This paper addresses the problem of quickest detection of a change in the maximal coherence between columns of a $n\times p$ random matrix based on a sequence of matrix observations having a single unknown change point. The random matrix is…

Statistics Theory · Mathematics 2018-05-01 Taposh Banerjee , Hamed Firouzi , Alfred O. Hero

Recent attention in quickest change detection in the multi-sensor setting has been on the case where the densities of the observations change at the same instant at all the sensors due to the disruption. In this work, a more general…

Information Theory · Computer Science 2016-11-18 Vasanthan Raghavan , Venugopal V. Veeravalli

A quickest change detection problem is considered in a sensor network with observations whose statistical dependency structure across the sensors before and after the change is described by a decomposable graphical model (DGM). Distributed…

Signal Processing · Electrical Eng. & Systems 2021-09-08 Yicheng Chen , Rick S. Blum , Brian M. Sadler

This paper considers the quickest search problem to identify anomalies among large numbers of data streams. These streams can model, for example, disjoint regions monitored by a mobile robot. A particular challenge is a version of the…

Optimization and Control · Mathematics 2023-03-20 Matthew Ubl , Benjamin D. Robinson , Matthew T. Hale

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

The problem of detecting changes in firing patterns in neural data is studied. The problem is formulated as a quickest change detection problem. Important algorithms from the literature are reviewed. A new algorithmic technique is discussed…

Signal Processing · Electrical Eng. & Systems 2018-09-05 Taposh Banerjee , Stephen Allsop , Kay M. Tye , Demba Ba , Vahid Tarokh

We study the problem of covert quickest change detection in a discrete-time setting, where a sequence of observations undergoes a distributional change at an unknown time. Unlike classical formulations, we consider a covert adversary who…

Information Theory · Computer Science 2026-02-18 Amir Reza Ramtin , Philippe Nain , Don Towsley