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Change Point Detection (CPD) is a critical task in time series analysis, aiming to identify moments when the underlying data-generating process shifts. Traditional CPD methods often rely on unsupervised techniques, which lack adaptability…

Machine Learning · Computer Science 2026-01-29 Stefano Bertolasi , Diego Carrera , Diego Stucchi , Pasqualina Fragneto , Luigi Amedeo Bianchi

This paper studies methods for testing and estimating change-points in the covariance structure of a high-dimensional linear time series. The assumed framework allows for a large class of multivariate linear processes (including vector…

Statistics Theory · Mathematics 2020-01-14 Ansgar Steland

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

Many time series exhibit changes both in level and in variability. Generally, it is more important to detect a change in the level, and changing or smoothly evolving variability can confound existing tests. This paper develops a framework…

Statistics Theory · Mathematics 2016-12-09 Tomasz Gorecki , Lajos Horvath , Piotr Kokoszka

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

Methodology · Statistics 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

Machine Learning · Computer Science 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

Change-point analysis is thriving in this big data era to address problems arising in many fields where massive data sequences are collected to study complicated phenomena over time. It plays an important role in processing these data by…

Methodology · Statistics 2022-03-23 Yi-Wei Liu , Hao Chen

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

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…

Methodology · Statistics 2025-08-27 Jiazhen Xu , Andrew T. A. Wood , Tao Zou

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The…

Statistics Theory · Mathematics 2025-11-25 Joseph Ngatchou-Wandji , Echarif Elharfaoui , Michel Harel

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…

Methodology · Statistics 2023-08-25 Joonpyo Kim , Hee-Seok Oh , Haeran Cho

We analyze a varying-coefficient dynamic spatial autoregressive model with spatial fixed effects. One salient feature of the model is the incorporation of multiple spatial weight matrices through their linear combinations with varying…

Methodology · Statistics 2025-05-12 Zetai Cen , Yudong Chen , Clifford Lam

The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

This paper studies multivariate nonparametric change point localization and inference problems. The data consists of a multivariate time series with potentially short range dependence. The distribution of this data is assumed to be…

Statistics Theory · Mathematics 2023-01-30 Carlos Misael Madrid Padilla , Haotian Xu , Daren Wang , Oscar Hernan Madrid Padilla , Yi Yu

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

A change point detection (CPD) framework assisted by a predictive machine learning model called "Predict and Compare" is introduced and characterised in relation to other state-of-the-art online CPD routines which it outperforms in terms of…

Machine Learning · Computer Science 2024-06-05 Anna-Christina Glock , Florian Sobieczky , Johannes Fürnkranz , Peter Filzmoser , Martin Jech

Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

Methodology · Statistics 2020-12-10 Xiwei Tang , Lexin Li

Real-world deployment of machine learning models is challenging because data evolves over time. While no model can work when data evolves in an arbitrary fashion, if there is some pattern to these changes, we might be able to design methods…

Machine Learning · Computer Science 2024-05-03 Rasool Fakoor , Jonas Mueller , Zachary C. Lipton , Pratik Chaudhari , Alexander J. Smola

We consider determining change points in a time series of age-specific mortality and fertility curves observed over time. We propose two detection methods for identifying these change points. The first method uses a functional cumulative…

Applications · Statistics 2024-11-04 Han Lin Shang