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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

This paper investigates the quickest change detection of quantum states in a universal setting: specifically, where the post-change quantum state is not known a priori. We establish the asymptotic optimality of a two-stage approach in terms…

量子物理 · 物理学 2026-04-21 Arick Grootveld , Haodong Yang , Nandan Sriranga , Biao Chen , Venkata Gandikota , Jason Pollack

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

The trade-off between the cost of acquiring and processing data, and uncertainty due to a lack of data is fundamental in machine learning. A basic instance of this trade-off is the problem of deciding when to make noisy and costly…

机器学习 · 统计学 2017-03-30 Christopher R. Dance , Tomi Silander

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…

机器学习 · 统计学 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 unknown. Two tests based on post-change density…

统计理论 · 数学 2023-11-28 Yuchen Liang , Venugopal V. Veeravalli

We propose a new analysis framework for clustering $M$ items into an unknown number of $K$ distinct groups using noisy and actively collected responses. At each time step, an agent is allowed to query pairs of items and observe bandit…

机器学习 · 计算机科学 2026-02-06 Rachel S. Y. Teo , P. N. Karthik , Ramya Korlakai Vinayak , Vincent Y. F. Tan

Contextual learning seeks to learn a decision policy that maps an individual's characteristics to an action through data collection. In operations management, such data may come from various sources, and a central question is when data…

最优化与控制 · 数学 2026-04-10 Mingrui Ding , Qiuhong Zhao , Siyang Gao , Jing Dong

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…

统计理论 · 数学 2020-07-30 Georgios Rovatsos , George V. Moustakides , Venugopal V. Veeravalli

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

Cumulative sum (CUSUM) charts are typically used to detect changes in a stream of observations e.g. shifts in the mean. Usually, after signalling, the chart is restarted by setting it to some value below the signalling threshold. We propose…

统计方法学 · 统计学 2013-07-30 Axel Gandy , F. Din-Houn Lau

We design persistent surveillance strategies for the quickest detection of anomalies taking place in an environment of interest. From a set of predefined regions in the environment, a team of autonomous vehicles collects noisy observations,…

机器人学 · 计算机科学 2012-10-15 Vaibhav Srivastava , Fabio Pasqualetti , Francesco Bullo

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

The problem of decentralized sequential change detection is considered, where an abrupt change occurs in an area monitored by a number of sensors; the sensors transmit their data to a fusion center, subject to bandwidth and energy…

统计理论 · 数学 2013-11-12 Georgios Fellouris , George V. Moustakides

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

应用统计 · 统计学 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

The problem of sequential anomaly detection and identification is considered, where multiple data sources are simultaneously monitored and the goal is to identify in real time those, if any, that exhibit ``anomalous" statistical behavior.…

统计理论 · 数学 2024-12-09 Aristomenis Tsopelakos , Georgios Fellouris

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. A novel Bayesian theory is developed for detecting a…

信号处理 · 电气工程与系统科学 2019-04-09 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

We consider optimal stopping problems, in which a sequence of independent random variables is drawn from a known continuous density. The objective of such problems is to find a procedure which maximizes the expected reward; this is often…

概率论 · 数学 2020-12-07 Hugh Entwistle , Christopher Lustri , Georgy Sofronov

We investigate the problem of covert quickest change detection in a continuous-time setting, where a Brownian motion experiences a drift change at an unknown time. Unlike classical formulations, we consider a covert adversary who adjusts…

信息论 · 计算机科学 2025-09-23 Amir Reza Ramtin , Philippe Nain , Don Towsley

We consider the problem of finding an event-based sampling scheme that optimizes the trade-off between average sampling rate and control performance in a linear-quadratic-Gaussian (LQG) control problem setting with output feedback. Our…

最优化与控制 · 数学 2017-09-25 Marcus Thelander Andrén , Bo Bernhardsson , Anton Cervin , Kristian Soltesz