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In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

统计理论 · 数学 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Many offline unsupervised change point detection algorithms rely on minimizing a penalized sum of segment-wise costs. We extend this framework by proposing to minimize a sum of discrepancies between segments. In particular, we propose to…

机器学习 · 计算机科学 2020-09-04 Aurélien Serre , Didier Chételat , Andrea Lodi

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

统计方法学 · 统计学 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

统计理论 · 数学 2008-01-08 Nathalie Akakpo

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

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

统计方法学 · 统计学 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

信息论 · 计算机科学 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

统计方法学 · 统计学 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

机器学习 · 统计学 2013-02-15 Azaden Khaleghi , Daniil Ryabko

Change point detection becomes more and more important as datasets increase in size, where unsupervised detection algorithms can help users process data. To detect change points, a number of unsupervised algorithms have been developed which…

数值分析 · 数学 2021-06-18 Rebecca Gedda , Larisa Beilina , Ruomu Tan

In this article, we consider change point inference for high dimensional linear models. For change point detection, given any subgroup of variables, we propose a new method for testing the homogeneity of corresponding regression…

统计方法学 · 统计学 2024-01-17 Bin Liu , Xinsheng Zhang , Yufeng Liu

The detection of change-points in a spatially or time ordered data sequence is an important problem in many fields such as genetics and finance. We derive the asymptotic distribution of a statistic recently suggested for detecting…

统计理论 · 数学 2015-10-01 Gérard Biau , Kevin Bleakley , David Mason

Change-point detection has been a classical problem in statistics and econometrics. This work focuses on the problem of detecting abrupt distributional changes in the data-generating distribution of a sequence of high-dimensional…

统计方法学 · 统计学 2021-05-20 Shubhadeep Chakraborty , Xianyang Zhang

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

机器学习 · 统计学 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We consider the offline change point detection and localization problem in the context of piecewise stationary networks, where the observable is a finite sequence of networks. We develop algorithms involving some suitably modified CUSUM…

统计方法学 · 统计学 2020-09-07 Sharmodeep Bhattacharyya , Shirshendu Chatterjee , Soumendu Sundar Mukherjee

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

统计方法学 · 统计学 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

Time-varying random objects have been increasingly encountered in modern data analysis. Moreover, in a substantial number of these applications, periodic behaviour of the random objects has been observed. We develop a novel procedure to…

统计方法学 · 统计学 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

A simultaneous change-point detection and estimation in a piece-wise constant model is a common task in modern statistics. If, in addition, the whole estimation can be performed automatically, in just one single step without going through…

统计理论 · 数学 2019-01-16 Gabriela Ciuperca , Matúš Maciak

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

统计方法学 · 统计学 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla
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