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We study the problem of detecting multiple change points in the mean vectors of an independent sequence of high-dimensional observations. We propose a family of ridge-regularized CUSUM statistics built upon the adaptable ridge-regularized…

统计方法学 · 统计学 2026-05-26 Haoran Li , Haotian Xu

Detecting distributional drift in high-dimensional data streams presents fundamental challenges: global comparison methods scale poorly, projection-based approaches lose geometric structure, and re-clustering methods suffer from identity…

机器学习 · 计算机科学 2026-02-18 Anantha Sharma

We study change point detection and localization for univariate data in fully nonparametric settings in which, at each time point, we acquire an i.i.d. sample from an unknown distribution. We quantify the magnitude of the distributional…

统计方法学 · 统计学 2019-05-27 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

This manuscript makes two contributions to the field of change-point detection. In a generalchange-point setting, we provide a generic algorithm for aggregating local homogeneity testsinto an estimator of change-points in a time series.…

统计理论 · 数学 2022-12-09 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

Change-point detection in dynamic networks has received much attention due to its broad applications in social networks and biological systems. Kernel-based methods have shown strong potential for this problem. However, their performance…

统计方法学 · 统计学 2026-05-15 Mingxuan Sun , Hao Chen

Nonparametric feature selection in high-dimensional data is an important and challenging problem in statistics and machine learning fields. Most of the existing methods for feature selection focus on parametric or additive models which may…

统计方法学 · 统计学 2021-03-31 Hang Yu , Yuanjia Wang , Donglin Zeng

Distributed change-point detection has been a fundamental problem when performing real-time monitoring using sensor-networks. We propose a distributed detection algorithm, where each sensor only exchanges CUSUM statistic with their…

信号处理 · 电气工程与系统科学 2019-01-09 Qinghua Liu , Rui Zhang , Yao Xie

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

统计方法学 · 统计学 2021-06-23 Michael Messer

Detecting changes in high-dimensional vectors presents significant challenges, especially when the post-change distribution is unknown and time-varying. This paper introduces a novel robust algorithm for correlation change detection in…

统计方法学 · 统计学 2024-10-07 Assma Alghamdi , Taposh Banerjee , Jayant Rajgopal

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

In a sequence of multivariate observations or non-Euclidean data objects, such as networks, local dependence is common and could lead to false change-point discoveries. We propose a new way of permutation -- circular block permutation with…

统计方法学 · 统计学 2019-03-06 Hao Chen

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

机器学习 · 计算机科学 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

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

This paper addresses the issue of detecting hierarchical changes in latent variable models (HCDL) from data streams. There are three different levels of changes for latent variable models: 1) the first level is the change in data…

机器学习 · 统计学 2020-11-24 Shintaro Fukushima , Kenji Yamanishi

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

统计方法学 · 统计学 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

Existing online change-point detection (CPD) methods rely on fixed-dimensional Euclidean summaries, implicitly assuming that distributional changes are well captured by moment-based or feature-based representations. They can obscure…

统计方法学 · 统计学 2026-05-25 Yingyan Zeng , Yujing Huang , Xiaoyu Chen

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

统计方法学 · 统计学 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

We consider the challenge of efficiently detecting changes within a network of sensors, where we also need to minimise communication between sensors and the cloud. We propose an online, communication-efficient method to detect such changes.…

统计方法学 · 统计学 2024-04-11 Ziyang Yang , Idris A. Eckley , Paul Fearnhead

Detection of anomalies among a large number of processes is a fundamental task that has been studied in multiple research areas, with diverse applications spanning from spectrum access to cyber-security. Anomalous events are characterized…

信息论 · 计算机科学 2022-08-12 Benjamin Wolff , Tomer Gafni , Guy Revach , Nir Shlezinger , Kobi Cohen

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

应用统计 · 统计学 2016-09-27 Alexey Artemov , Evgeny Burnaev
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