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Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

统计理论 · 数学 2016-01-20 Hock Peng Chan

Sequential change-point detection in non-Gaussian stochastic processes is challenging because the underlying densities are rarely known in real time. Classical parametric procedures such as CUSUM lose optimality under distributional…

统计方法学 · 统计学 2026-05-28 Serhii Zabolotnii

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

统计方法学 · 统计学 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

统计理论 · 数学 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

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,…

统计理论 · 数学 2020-07-21 Mark Holmes , Ivan Kojadinovic

We analyze the performance of cross-validation (CV) in the density estimation framework with two purposes: (i) risk estimation and (ii) model selection. The main focus is given to the so-called leave-$p$-out CV procedure (Lpo), where $p$…

统计理论 · 数学 2014-10-02 Alain Celisse

Robust change-point detection for large-scale data streams has many real-world applications in industrial quality control, signal detection, biosurveillance. Unfortunately, it is highly non-trivial to develop efficient schemes due to three…

统计方法学 · 统计学 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi

With the advent of the next generation of astrophysics experiments, the volume of data available to researchers will be greater than ever. As these projects will significantly drive down statistical uncertainties in measurements, it is…

宇宙学与河外天体物理 · 物理学 2024-10-08 Alan B. H. Nguyen , Marco Bonici , Glen McGee , Will J. Percival

The problem of quickest change detection with a wireless sensor node is studied in this paper. The sensor that is deployed to monitor the environment has limited energy constraint to the classical quickest change detection problem. We…

系统与控制 · 计算机科学 2014-11-13 Xiaoqiang Ren , Jiming Chen , Karl H. Johansson , Ling Shi

We propose new tests to detect a change in the mean of a time series. Like many existing tests, the new ones are based on the CUSUM process. Existing CUSUM tests require an estimator of a scale parameter to make them asymptotically…

统计理论 · 数学 2008-12-18 Lajos Horváth , Zsuzsanna Horváth , Marie Hušková

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

统计方法学 · 统计学 2021-09-01 Ciaran Evans , Max G'Sell

This work examines the problem of sequential detection of a change in the drift of a Brownian motion in the case of two-sided alternatives. Applications to real life situations in which two-sided changes can occur are discussed.…

信息论 · 计算机科学 2007-07-13 Olympia Hadjiliadis , H. Vincent Poor

This paper develops a flexible distribution-free method for collective outlier detection and enumeration, designed for situations in which the presence of outliers can be detected powerfully even though their precise identification may be…

统计方法学 · 统计学 2026-05-19 Chiara G. Magnani , Matteo Sesia , Aldo Solari

We propose a distributed Bayesian quickest change detection algorithm for sensor networks, based on a random gossip inter-sensor communication structure. Without a control or fusion center, each sensor executes its local change detection…

信息论 · 计算机科学 2015-12-09 Di Li , Soummya Kar , Fuad E. Alsaadi , Shuguang Cui

We study the detection of change-points in time series. The classical CUSUM statistic for detection of jumps in the mean is known to be sensitive to outliers. We thus propose a robust test based on the Wilcoxon two-sample test statistic.…

统计理论 · 数学 2013-04-10 Herold Dehling , Roland Fried , Isabel García , Martin Wendler

The problem of detecting changes with multiple sensors has received significant attention in the literature. In many practical applications such as critical infrastructure monitoring and modeling of disease spread, a useful change…

信息论 · 计算机科学 2019-02-19 Mehmet Necip Kurt , Xiaodong Wang

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…

统计理论 · 数学 2018-05-01 Taposh Banerjee , Hamed Firouzi , Alfred O. Hero

Change-point detection, detecting an abrupt change in the data distribution from sequential data, is a fundamental problem in statistics and machine learning. CUSUM is a popular statistical method for online change-point detection due to…

机器学习 · 计算机科学 2024-03-12 Tingnan Gong , Junghwan Lee , Xiuyuan Cheng , Yao Xie

This paper establishes that an exactly optimal rule for Bayesian Quickest Change Detection (QCD) of Markov chains is a threshold test on the no change posterior. We also provide a computationally efficient scalar filter for the no change…

系统与控制 · 电气工程与系统科学 2023-03-27 Jason J. Ford , Justin M. Kennedy , Caitlin Tompkins , Jasmin James , Aaron McFadyen