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Online change detection involves monitoring a stream of data for changes in the statistical properties of incoming observations. A good change detector will detect any changes shortly after they occur, while raising few false alarms.…

统计理论 · 数学 2020-03-03 Thomas Flynn , Shinjae Yoo

Because of the curse-of-dimensionality, high-dimensional processes present challenges to traditional multivariate statistical process monitoring (SPM) techniques. In addition, the unknown underlying distribution and complicated dependency…

统计方法学 · 统计学 2021-01-26 Zezhong Wang , Inez Maria Zwetsloot

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

机器学习 · 统计学 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade

Change-point analysis is thriving in this big data era to address problems arising in many fields where massive data sequences are collected to study complicated phenomena over time. It plays an important role in processing these data by…

统计方法学 · 统计学 2022-03-23 Yi-Wei Liu , Hao Chen

The problem of identifying change points in high-dimensional Gaussian graphical models (GGMs) in an online fashion is of interest, due to new applications in biology, economics and social sciences. The offline version of the problem, where…

统计理论 · 数学 2020-03-18 Hossein Keshavarz , George Michailidis

The detection of anomalies or transitions in complex dynamical systems is of critical importance to various applications. In this study, we propose the use of machine learning to detect changepoints for high-dimensional dynamical systems.…

动力系统 · 数学 2023-05-18 Sen Lin , Gianmarco Mengaldo , Romit Maulik

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

统计方法学 · 统计学 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

We study the problem of change-point detection and localisation for functional data sequentially observed on a general d-dimensional space, where we allow the functional curves to be either sparsely or densely sampled. Data of this form…

统计方法学 · 统计学 2022-05-20 Carlos Misael Madrid Padilla , Daren Wang , Zifeng Zhao , Yi Yu

We consider online change detection of high dimensional data streams with sparse changes, where only a subset of data streams can be observed at each sensing time point due to limited sensing capacities. On the one hand, the detection…

机器学习 · 统计学 2020-09-23 Jie Guo , Hao Yan , Chen Zhang , Steven Hoi

We present a non-parametric change-point detection approach to detect potentially sparse changes in a time series of high-dimensional observations or non-Euclidean data objects. We target a change in distribution that occurs in a small,…

统计方法学 · 统计学 2025-05-29 Alan Moore , Lynna Chu , Zhengyuan Zhu

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

Detecting when the underlying distribution changes for the observed time series is a fundamental problem arising in a broad spectrum of applications. In this paper, we study multiple change-point localization in the high-dimensional…

统计理论 · 数学 2021-10-12 Daren Wang , Zifeng Zhao , Kevin Lin , Rebecca Willett

We study the multivariate nonparametric change point detection problem, where the data are a sequence of independent $p$-dimensional random vectors whose distributions are piecewise-constant with Lipschitz densities changing at unknown…

统计理论 · 数学 2020-06-26 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

High-dimensional changepoint analysis is a growing area of research and has applications in a wide range of fields. The aim is to accurately and efficiently detect changepoints in time series data when both the number of time points and…

统计方法学 · 统计学 2020-04-01 Thomas Grundy , Rebecca Killick , Gueorgui Mihaylov

Change point detection in time series has attracted substantial interest, but most of the existing results have been focused on detecting change points in the time domain. This paper considers the situation where nonlinear time series have…

统计方法学 · 统计学 2021-11-22 Yan Cui , Jun Yang , Zhou Zhou

This paper investigates the detection and estimation of a single change in high-dimensional linear models. We derive minimax lower bounds for the detection boundary and the estimation rate, which uncover a phase transition governed by the…

统计理论 · 数学 2026-02-11 Haeran Cho , Housen Li

The extensive emergence of big data techniques has led to an increasing interest in the development of change-point detection algorithms that can perform well in a multivariate, possibly high-dimensional setting. In the current paper, we…

统计方法学 · 统计学 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

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

High-dimensional data poses unique challenges in outlier detection process. Most of the existing algorithms fail to properly address the issues stemming from a large number of features. In particular, outlier detection algorithms perform…

机器学习 · 计算机科学 2020-09-22 Firuz Kamalov , Ho Hon Leung

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…