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A new approach to detect change points based on differential smoothing and multiple testing is presented for long data sequences modeled as piecewise constant functions plus stationary ergodic Gaussian noise. As an application of the STEM…

统计理论 · 数学 2019-11-20 Dan Cheng , Zhibing He , Armin Schwartzman

A topological multiple testing scheme is presented for detecting peaks in images under stationary ergodic Gaussian noise, where tests are performed at local maxima of the smoothed observed signals. The procedure generalizes the…

统计方法学 · 统计学 2014-05-08 Dan Cheng , Armin Schwartzman

In recent years, change point detection for high dimensional data has become increasingly important in many scientific fields. Most literature develop a variety of separate methods designed for specified models (e.g. mean shift model,…

统计方法学 · 统计学 2022-07-20 Yue Bai , Abolfazl Safikhani

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

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. In this article, the problem of detecting…

统计方法学 · 统计学 2017-08-10 Abolfazl Safikhani , Ali Shojaie

We propose a computationally and statistically efficient procedure for segmenting univariate data under piecewise linearity. The proposed moving sum (MOSUM) methodology detects multiple change points where the underlying signal undergoes…

统计方法学 · 统计学 2023-08-25 Joonpyo Kim , Hee-Seok Oh , Haeran Cho

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. We propose a three-stage procedure for…

统计方法学 · 统计学 2018-05-31 Abolfazl Safikhani , Ali Shojaie

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

In modern business modeling and analytics, data monitoring plays a critical role. Nowadays, sophisticated models often rely on hundreds or even thousands of input variables. Over time, structural changes such as abrupt level shifts or trend…

统计方法学 · 统计学 2019-10-07 Yingbo Li , Robert Cezeaux , Di Yu

In this paper we introduce a novel approach for an important problem of break detection. Specifically, we are interested in detection of an abrupt change in the covariance structure of a high-dimensional random process -- a problem, which…

统计理论 · 数学 2020-07-30 Valeriy Avanesov , Nazar Buzun

We propose a new nonparametric procedure for the detection and estimation of multiple structural breaks in the autocovariance function of a multivariate (second- order) piecewise stationary process, which also identifies the components of…

统计理论 · 数学 2013-09-06 Philip Preuß , Ruprecht Puchstein , Holger Dette

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

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

统计方法学 · 统计学 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

统计方法学 · 统计学 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

统计理论 · 数学 2024-08-08 Alessandro Casini , Pierre Perron

For many real data, long term observation consists of different processes that coexist or occur one after the other. Those processes very often exhibit different statistical properties and thus before the further analysis the observed data…

统计理论 · 数学 2016-05-30 Kucharczyk Daniel. Wyłomańska Agnieszka , Zimroz Radosław

This paper considers the problems of detecting a change point and estimating the location in the correlation matrices of a sequence of high-dimensional vectors, where the dimension is large enough to be comparable to the sample size or even…

统计方法学 · 统计学 2023-11-07 Zhaoyuan Li , Jie Gao

A topological multiple testing scheme for one-dimensional domains is proposed where, rather than testing every spatial or temporal location for the presence of a signal, tests are performed only at the local maxima of the smoothed observed…

统计理论 · 数学 2012-03-15 Armin Schwartzman , Yulia Gavrilov , Robert J. Adler

We consider the problem of change point detection for high-dimensional distributions in a location family when the dimension can be much larger than the sample size. In change point analysis, the widely used cumulative sum (CUSUM)…

统计理论 · 数学 2021-10-14 Mengjia Yu , Xiaohui Chen

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

统计方法学 · 统计学 2024-12-16 Yuhan Tian , Abolfazl Safikhani
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