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The aim of the present study is to detect abrupt trend changes in the mean of a multidimensional sequential signal. Directly inspired by papers of Fernhead and Liu ([4] and [5]), this work describes the signal in a hierarchical manner : the…

Machine Learning · Computer Science 2021-06-11 Olivier Sorba , C Geissler

Multivariate functional data present theoretical and practical complications which are not found in univariate functional data. One of these is a situation where the component functions of multivariate functional data are positive and are…

Methodology · Statistics 2023-03-09 Cody Carroll , Hans-Georg Müller

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

Applications · Statistics 2016-09-27 Alexey Artemov , Evgeny Burnaev

We propose a novel change-point detection method based on online Dynamic Mode Decomposition with control (ODMDwC). Leveraging ODMDwC's ability to find and track linear approximation of a non-linear system while incorporating control…

Artificial Intelligence · Computer Science 2024-08-20 Marek Wadinger , Michal Kvasnica , Yoshinobu Kawahara

We describe a simple automated method to extract and quantify transient heterogeneous dynamical changes from large datasets generated in single molecule/particle tracking experiments. Based on wavelet transform, the method transforms raw…

Data Analysis, Statistics and Probability · Physics 2013-06-04 Kejia Chen , Bo Wang , Juan Guan , Steve Granick

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

Methodology · Statistics 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

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…

Machine Learning · Computer Science 2023-05-23 Mario Krause

We provide a bird's eye view onto the area of sequential change-point detection. We focus on the discrete-time case with known pre- and post-change data distributions and offer a summary of the forefront asymptotic results established in…

Statistics Theory · Mathematics 2013-10-15 Aleksey S. Polunchenko , Grigory Sokolov , Wenyu Du

Wavelets are scaleable, oscillatory functions that deviate from zero only within a limited spatial regime and have average value zero. In addition to their use as source characterizers, wavelet functions are rapidly gaining currency within…

Astrophysics · Physics 2009-11-07 Peter E. Freeman , Vinay Kashyap , Robert Rosner , Donald Q. Lamb

This article introduces a novel Bayesian method for asynchronous change-point detection in multivariate time series. This method allows for change-points to occur earlier in some (leading) series followed, after a short delay, by…

Methodology · Statistics 2025-08-28 Carson McKee , Maria Kalli

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

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

Methodology · Statistics 2018-02-23 Lynna Chu , Hao Chen

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

Machine Learning · Computer Science 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

Computation · Statistics 2009-10-19 Paul Fearnhead , Zhen Liu

Detecting relevant changes in dynamic time series data in a timely manner is crucially important for many data analysis tasks in real-world settings. Change point detection methods have the ability to discover changes in an unsupervised…

Artificial Intelligence · Computer Science 2022-01-19 Kamil Faber , Roberto Corizzo , Bartlomiej Sniezynski , Michael Baron , Nathalie Japkowicz

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

In this paper, we introduce two robust, nonparametric methods for multiple change-point detection in the variability of a multivariate sequence of observations. We demonstrate that changes in ranks generated from data depth functions can be…

Methodology · Statistics 2021-11-30 Kelly Ramsay , Shoja'eddin Chenouri

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…

Methodology · Statistics 2024-12-16 Yuhan Tian , Abolfazl Safikhani
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