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We consider the joint estimation of change point locations and the sparsity pattern of the variance covariance matrix, which is assumed to evolve in a piecewise constant manner. By applying Group Fused LASSO and LASSO penalties to the…

统计方法学 · 统计学 2026-05-14 Ying Lin , Benjamin Poignard

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

Change point analyses are concerned with identifying positions of an ordered stochastic process that undergo abrupt local changes of some underlying distribution. When multiple processes are observed, it is often the case that information…

统计方法学 · 统计学 2022-01-21 José J. Quinlan , Garritt L. Page , Luis M. Castro

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

机器学习 · 统计学 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

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

The LASSO is a widely used statistical methodology for simultaneous estimation and variable selection. In the last years, many authors analyzed this technique from a theoretical and applied point of view. We introduce and study the adaptive…

统计理论 · 数学 2010-02-09 A. De Gregorio , S. M. Iacus

Changepoint models typically assume the data within each segment are independent and identically distributed conditional on some parameters which change across segments. This construction may be inadequate when data are subject to local…

统计方法学 · 统计学 2021-11-10 Karl L. Hallgren , Nicholas A. Heard , Niall M. Adams

The objective of the change-point detection is to discover the abrupt property changes lying behind the time-series data. In this paper, we firstly summarize the definition and in-depth implication of the changepoint detection. The next…

机器学习 · 统计学 2019-08-21 Yixiao Li , Gloria Lin , Thomas Lau , Ruochen Zeng

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

In this paper, two tests, based on CUSUM of the residuals and least squares estimation, are studied to detect in real time a change-point in a nonlinear model. A first test statistic is proposed by extension of a method already used in the…

统计理论 · 数学 2013-02-28 Gabriela Ciuperca

As one of the most commonly seen data challenges, missing data, in particular, multiple, non-monotone missing patterns, complicates estimation and inference due to the fact that missingness mechanisms are often not missing at random, and…

统计方法学 · 统计学 2025-04-21 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

This work explores use of novel advances in best subset selection for regression modelling via continuous optimization for offline change point detection and estimation in univariate Gaussian data sequences. The approach exploits…

统计方法学 · 统计学 2024-07-08 Hans Reimann , Sarat Moka , Georgy Sofronov

Estimating parameters of mixture model has wide applications ranging from classification problems to estimating of complex distributions. Most of the current literature on estimating the parameters of the mixture densities are based on…

机器学习 · 统计学 2020-06-23 Yuantong Li , Qi Ma , Sujit K. Ghosh

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

We assume a nonparametric regression model where the signal is given by the sum of a piecewise constant function and a smooth function. To detect the change-points and estimate the regression functions, we propose PCpluS, a combination of…

统计方法学 · 统计学 2025-03-11 Florian Pein , Rajen D. Shah

Identifying changes in the generative process of sequential data, known as changepoint detection, has become an increasingly important topic for a wide variety of fields. A recently developed approach, which we call EXact Online Bayesian…

机器学习 · 统计学 2018-10-16 Michael Byrd , Linh Nghiem , Jing Cao

We propose an original and general NOn-SEgmental (NOSE) approach for the detection of multiple change-points. NOSE identifies change-points by the non-negligibility of posterior estimates of the jump heights. Alternatively, under the…

统计方法学 · 统计学 2023-06-19 Chong Zhong , Zhihua Ma , Xu Zhang , Catherine C. Liu

We study the problem of detecting a common change point in large panel data based on a mean shift model, wherein the errors exhibit both temporal and cross-sectional dependence. A least squares based procedure is used to estimate the…

统计理论 · 数学 2019-04-26 Monika Bhattacharjee , Moulinath Banerjee , George Michailidis

In this paper we present a loss-based approach to change point analysis. In particular, we look at the problem from two perspectives. The first focuses on the definition of a prior when the number of change points is known a priori. The…

统计方法学 · 统计学 2018-01-09 Laurentiu Hinoveanu , Fabrizio Leisen , Cristiano Villa

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