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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

Cumulative sum (CUSUM) statistics are widely used in the change point inference and identification. For the problem of testing for existence of a change point in an independent sample generated from the mean-shift model, we introduce a…

统计理论 · 数学 2021-01-05 Mengjia Yu , Xiaohui Chen

In this paper, a model reference adaptive control architecture is proposed for uncertain nonlinear systems to achieve prescribed performance guarantees. Specifically, a general nonlinear reference model system is considered that captures an…

系统与控制 · 电气工程与系统科学 2021-06-11 Ehsan Arabi , Kunal Garg , Dimitra Panagou

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

Responsibly deploying artificial intelligence (AI) / machine learning (ML) systems in high-stakes settings arguably requires not only proof of system reliability, but also continual, post-deployment monitoring to quickly detect and address…

机器学习 · 计算机科学 2025-08-26 Drew Prinster , Xing Han , Anqi Liu , Suchi Saria

Models trained on data composed of different groups or domains can suffer from severe performance degradation under distribution shifts. While recent methods have largely focused on optimizing the worst-group objective, this often comes at…

机器学习 · 计算机科学 2024-06-06 Hoang Phan , Andrew Gordon Wilson , Qi Lei

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 technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

最优化与控制 · 数学 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

统计方法学 · 统计学 2020-07-31 Gabriela Ciuperca

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

Generative agents have proven to be powerful assistants in a wide variety of contexts. Given this success, users are now deploying agents with minimal restrictions in open ended, multi-agent environments. Current methods for monitoring the…

多智能体系统 · 计算机科学 2026-05-13 Hayden Helm , Carey Priebe , Brandon Duderstadt

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

Quickest change detection (QCD) is a fundamental problem in many applications. Given a sequence of measurements that exhibits two different distributions around a certain flipping point, the goal is to detect the change in distribution…

信息论 · 计算机科学 2020-01-23 Ahmed Badawy , Ahmed El Shafie , Tamer Khattab

We consider the online and nonparametric detection of abrupt and persistent anomalies, such as a change in the regular system dynamics at a time instance due to an anomalous event (e.g., a failure, a malicious activity). Combining the…

应用统计 · 统计学 2017-05-16 Yasin Yilmaz

Clustering in stationary and nonstationary settings, where data distributions remain static or evolve over time, requires models that can adapt to distributional shifts while preserving previously learned cluster structures. This paper…

机器学习 · 计算机科学 2025-12-09 Naoki Masuyama , Yuichiro Toda , Yusuke Nojima , Hisao Ishibuchi

Many robotic systems are underactuated, meaning not all degrees of freedom can be directly controlled due to lack of actuators, input constraints, or state-dependent actuation. This property, compounded by modeling uncertainties and…

系统与控制 · 电气工程与系统科学 2025-10-10 Daniel M. Cherenson , Dimitra Panagou

We consider the online monitoring of multivariate streaming data for changes that are characterized by an unknown subspace structure manifested in the covariance matrix. In particular, we consider the covariance structure changes from an…

统计理论 · 数学 2021-04-12 Liyan Xie , Yao Xie , George V. Moustakides

Suppose (standardized) measurements or statistics are monitored to raise an alarm when a threshold is exceeded. Often, the underlying population is heterogenous with respect to important discrete variables and thus samples may consist of…

统计理论 · 数学 2025-10-10 Ansgar Steland

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

统计理论 · 数学 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

统计理论 · 数学 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang