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Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

Statistics Theory · Mathematics 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

Detection of change-points in a sequence of high-dimensional observations is a very challenging problem, and this becomes even more challenging when the sample size (i.e., the sequence length) is small. In this article, we propose some…

Methodology · Statistics 2021-11-30 Trisha Dawn , Angshuman Roy , Alokesh Manna , Anil K. Ghosh

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…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

We study change-point detection for high-dimensional data in regimes where inference must be performed from small batches of observations. Our primary focus is the high-dimensional, low sample size (HDLSS) regime, where the sequence length…

Methodology · Statistics 2026-05-26 Jyotishka Ray Choudhury , Yao Xie

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,…

Methodology · Statistics 2022-07-20 Yue Bai , Abolfazl Safikhani

We present a Bayesian method for multivariate changepoint detection that allows for simultaneous inference on the location of a changepoint and the coefficients of a logistic regression model for distinguishing pre-changepoint data from…

Methodology · Statistics 2025-03-11 Andrew M. Thomas , Michael Jauch , David S. Matteson

Very long and noisy sequence data arise from biological sciences to social science including high throughput data in genomics and stock prices in econometrics. Often such data are collected in order to identify and understand shifts in…

Methodology · Statistics 2016-07-15 Yue S. Niu , Ning Hao , Heping Zhang

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…

Methodology · Statistics 2022-11-15 Andreas Anastasiou , Angelos Papanastasiou

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…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

The paper studies the problem of detecting and locating change points in multivariate time-evolving data. The problem has a long history in statistics and signal processing and various algorithms have been developed primarily for simple…

Machine Learning · Statistics 2025-03-13 Jialiang Geng , George Michailidis

Change point analysis is concerned with detecting and locating structure breaks in the underlying model of a sequence of observations ordered by time, space or other variables. A widely adopted approach for change point analysis is to…

Methodology · Statistics 2024-04-10 Xingchi Li , Xianyang Zhang

We propose a new technique for consistent estimation of the number and locations of the change-points in the structure of an irregularly spaced time series. The core of the segmentation procedure is the Ensemble Binary Segmentation method…

Methodology · Statistics 2021-02-24 Karolos K. Korkas

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

Statistics Theory · Mathematics 2023-06-05 Haoyun Wang , Yao Xie

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

Machine Learning · Computer Science 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

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…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

We introduce a new approach for decoupling trends (drift) and changepoints (shifts) in time series. Our locally adaptive model-based approach for robustly decoupling combines Bayesian trend filtering and machine learning based…

Methodology · Statistics 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

A common approach to detect multiple changepoints is to minimise a measure of data fit plus a penalty that is linear in the number of changepoints. This paper shows that the general finite sample behaviour of such a method can be related to…

Statistics Theory · Mathematics 2022-08-15 Chao Zheng , Idris A. Eckley , Paul Fearnhead

We propose a general approach for change-point detection in dynamic networks. The proposed method is model-free and covers a wide range of dynamic networks. The key idea behind our approach is to effectively utilize the network structure in…

Methodology · Statistics 2019-08-07 Zifeng Zhao , Li Chen , Lizhen Lin

Automated analysis of complex systems based on multiple readouts remains a challenge. Change point detection algorithms are aimed to locating abrupt changes in the time series behaviour of a process. In this paper, we present a novel change…

Machine Learning · Computer Science 2023-10-05 Artem Ryzhikov , Mikhail Hushchyn , Denis Derkach

Detecting changes in data streams is a vital task in many applications. There is increasing interest in changepoint detection in the online setting, to enable real-time monitoring and support prompt responses and informed decision-making.…

Methodology · Statistics 2024-05-27 Victor K. Khamesi , Niall M. Adams , Dean A. Bodenham , Edward A. K. Cohen