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相关论文: Change-Point Analysis of Time Series with Evolutio…

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The purpose of this study is to provide a new methodology of how one can consistently estimate a change-point in time series data. In contrast with previous studies, the suggested methodology employs only the empirical spectral density and…

统计方法学 · 统计学 2016-11-22 Gyorgy H. Terdik , Stergios B. Fotopoulos , Venkata K. Jandhyala

Change-point detection and locally stationary time series modeling are two major approaches for the analysis of non-stationary data. The former aims to identify stationary phases by detecting abrupt changes in the dynamics of a time series…

统计方法学 · 统计学 2026-01-16 Wai Leong Ng , Xinyi Tang , Mun Lau Cheung , Jiacheng Gao , Chun Yip Yau , Holger Dette

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

Detecting abrupt changes in the mean of a time series, so-called changepoints, is important for many applications. However, many procedures rely on the estimation of nuisance parameters (like long-run variance). Under the alternative (a…

统计理论 · 数学 2018-08-14 Michal Pešta , Martin Wendler

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

统计方法学 · 统计学 2014-03-18 Michael Vogt , Holger Dette

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the properties are (approximately) constant for some time and then slowly start…

统计方法学 · 统计学 2015-04-03 Michael Vogt , Holger Dette

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

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

统计理论 · 数学 2018-09-07 Victor-Emmanuel Brunel

This paper addresses the problem of detecting change points in the spectral density of time series, motivated by EEG analysis of seizure patients. Seizures disrupt coherence and functional connectivity, necessitating precise detection.…

统计方法学 · 统计学 2025-05-06 Sepideh Mosaferi , Abolfazl Safikhani , Peiliang Bai

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

统计方法学 · 统计学 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

统计理论 · 数学 2021-12-14 Baron Michael , Malov Sergey

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

机器学习 · 计算机科学 2023-05-23 Mario Krause

Change-point analysis has been successfully applied to the detect changes in multivariate data streams over time. In many applications, when data are observed over a graph/network, change does not occur simultaneously but instead spread…

统计方法学 · 统计学 2023-06-21 Hanqing Cai , Tengyao Wang

Detecting changes in high-dimensional time series is difficult because it involves the comparison of probability densities that need to be estimated from finite samples. In this paper, we present the first feature extraction method tailored…

机器学习 · 计算机科学 2015-03-19 Duncan Blythe , Paul von Bünau , Frank Meinecke , Klaus-Robert Müller

This paper addresses the problem of change-point detection on sequences of high-dimensional and heterogeneous observations, which also possess a periodic temporal structure. Due to the dimensionality problem, when the time between…

机器学习 · 统计学 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

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

Change-point analysis is a flexible and computationally tractable tool for the analysis of times series data from systems that transition between discrete states and whose observables are corrupted by noise. The change-point algorithm is…

数据分析、统计与概率 · 物理学 2015-05-22 Paul A. Wiggins , Colin H. LaMont

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

统计方法学 · 统计学 2021-09-16 Hoseung Song , Hao Chen

We study the problem of change point localization in dynamic networks models. We assume that we observe a sequence of independent adjacency matrices of the same size, each corresponding to a realization of an unknown inhomogeneous Bernoulli…

统计方法学 · 统计学 2020-10-22 Daren Wang , Yi Yu , Alessandro Rinaldo

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

统计理论 · 数学 2020-11-05 Zixiang Guan , Gemai Chen
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