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In this paper, we develop an online change-point detection procedure in the covariance structure of high-dimensional data. A new stopping rule is proposed to terminate the process as early as possible when a change in covariance structure…

统计方法学 · 统计学 2020-03-12 Lingjun Li , Jun Li

We present a computationally efficient online kernel Cumulative Sum (CUSUM) method for change-point detection that utilizes the maximum over a set of kernel statistics to account for the unknown change-point location. Our approach exhibits…

统计方法学 · 统计学 2026-01-07 Song Wei , Yao Xie

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

统计方法学 · 统计学 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

Detecting abrupt changes in the community structure of a network from noisy observations is a fundamental problem in statistics and machine learning. This paper presents an online change detection algorithm called Spectral-CUSUM to detect…

统计理论 · 数学 2023-03-17 Minghe Zhang , Liyan Xie , Yao Xie

Change point detection in high dimensional data has found considerable interest in recent years. Most of the literature either designs methodology for a retrospective analysis, where the whole sample is already available when the…

统计理论 · 数学 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

统计理论 · 数学 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

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

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

In many applications, it is often of practical and scientific interest to detect anomaly events in a streaming sequence of high-dimensional or non-Euclidean observations. We study a non-parametric framework that utilizes nearest neighbor…

统计方法学 · 统计学 2022-10-25 Lynna Chu , Hao Chen

We study change-point detection for high-dimensional data in regimes where inference must be performed from small batches of observations. Our primary focus is the high-dimensional, low sample size (HDLSS) regime, where the sequence length…

统计方法学 · 统计学 2026-05-26 Jyotishka Ray Choudhury , Yao Xie

We present a distribution-free CUSUM procedure designed for online change detection in a time series of low-rank images, particularly when the change causes a mean shift. We represent images as matrix data and allow for temporal dependence,…

统计方法学 · 统计学 2025-02-28 Tingnan Gong , Seong-Hee Kim , Yao Xie

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

统计理论 · 数学 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

In change-point analysis, one aims at finding the locations of abrupt distributional changes (if any) in a sequence of multivariate observations. In this article, we propose some nonparametric methods based on averages of pairwise distances…

统计理论 · 数学 2025-11-14 Spandan Ghoshal , Bilol Banerjee , Anil K. Ghosh

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

We consider the problem of detecting distributional changes in a sequence of high dimensional data. Our approach combines two separate statistics stemming from $L_p$ norms whose behavior is similar under $H_0$ but potentially different…

统计理论 · 数学 2023-12-15 B. Cooper Boniece , Lajos Horváth , Peter Jacobs

Detecting abrupt changes in real-time data streams from scientific simulations presents a challenging task, demanding the deployment of accurate and efficient algorithms. Identifying change points in live data stream involves continuous…

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

统计理论 · 数学 2013-05-10 Yao Xie , David Siegmund

The aim of online change-point detection is for a accurate, timely discovery of structural breaks. As data dimension outgrows the number of data in observation, online detection becomes challenging. Existing methods typically test only the…

机器学习 · 统计学 2022-03-17 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

We consider the problem of quickest change-point detection where the observations form a first-order autoregressive (AR) process driven by temporally independent standard Gaussian noise. Subject to possible change are both the drift of the…

统计计算 · 统计学 2017-06-06 Aleksey S. Polunchenko , Vasanthan Raghavan

After obtaining an accurate approximation for $ARL_0$, we first consider the optimal design of weight parameter for a multivariate EWMA chart that minimizes the stationary average delay detection time (SADDT). Comparisons with moving…

统计理论 · 数学 2022-06-24 Yanhong Wu , Wei Biao Wu
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