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By attaching auxiliary event times to the chronologically ordered observations, we formulate the Bayesian multiple changepoint problem of discrete-time observations into that of continuous-time ones. A version of forward-filtering…

Computation · Statistics 2020-06-30 Lu Shaochuan

We study the problem of detecting and localizing multiple changes in the mean parameter of a Banach space-valued time series. The goal is to construct a collection of narrow confidence intervals, each containing at least one (or exactly…

Statistics Theory · Mathematics 2025-11-11 Tim Kutta , Holger Dette , Shixuan Wang

Fine-grained time series data are crucial for accurate and timely online change detection. While both collective anomalies and change points can coexist in such data, their joint online detection has received limited attention. In this…

Methodology · Statistics 2025-08-11 Xian Chen , Weichi Wu

There is a lack of methodological results for continuous time change detection due to the challenges of noninformative prior specification and efficient posterior inference in this setting. Most methodologies to date assume data are…

Methodology · Statistics 2025-04-28 Dan Cunha , Mark Friedl , Luis Carvalho

Changepoints are abrupt variations in the generative parameters of a data sequence. Online detection of changepoints is useful in modelling and prediction of time series in application areas such as finance, biometrics, and robotics. While…

Machine Learning · Statistics 2007-10-22 Ryan Prescott Adams , David J. C. MacKay

Motivated by two distinct types of biomedical time series data, digital health monitoring and neuroimaging, we develop a novel approach for changepoint analysis that uses a generalised linear mixed model framework. The generalised linear…

Methodology · Statistics 2024-10-02 Mark B. Fiecas , Kathryn R. Cullen , Rebecca Killick

Bayesian On-line Changepoint Detection is extended to on-line model selection and non-stationary spatio-temporal processes. We propose spatially structured Vector Autoregressions (VARs) for modelling the process between changepoints (CPs)…

Machine Learning · Statistics 2018-06-07 Jeremias Knoblauch , Theodoros Damoulas

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

This work addresses the problem of segmentation in time series data with respect to a statistical parameter of interest in Bayesian models. It is common to assume that the parameters are distinct within each segment. As such, many Bayesian…

Machine Learning · Computer Science 2017-10-27 Alireza Ahrabian , Shirin Enshaeifar , Clive Cheong-Took , Payam Barnaghi

It is quite common that the structure of a time series changes abruptly. Identifying these change points and describing the model structure in the segments between these change points is of interest. In this paper, time series data is…

Computation · Statistics 2019-12-18 Lijing Ma , Andrew Grant , Georgy Sofronov

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

We introduce a framework for online changepoint detection and simultaneous model learning which is applicable to highly parametrized models, such as deep neural networks. It is based on detecting changepoints across time by sequentially…

Machine Learning · Computer Science 2020-10-08 Michalis K. Titsias , Jakub Sygnowski , Yutian Chen

Online algorithms for detecting changepoints, or abrupt shifts in the behavior of a time series, are often deployed with limited resources, e.g., to edge computing settings such as mobile phones or industrial sensors. In these scenarios it…

Machine Learning · Statistics 2021-07-27 Gregory W. Gundersen , Diana Cai , Chuteng Zhou , Barbara E. Engelhardt , Ryan P. Adams

In the present paper we address the real-time detection problem of a change-point in the coefficients of a linear model with the possibility that the model errors are asymmetrical and that the explanatory variables number is large. We build…

Methodology · Statistics 2020-07-31 Gabriela Ciuperca

We propose a novel Bayesian framework for changepoint detection in large-scale spherical spatiotemporal data, with broad applicability in environmental and climate sciences. Our approach models changepoints as spatially dependent…

Methodology · Statistics 2026-02-16 Samantha Shi-Jun , Bo Li

We consider the change-point detection in multivariate continuous and integer valued time series. We propose a Wald-type statistic based on the estimator performed by a general contrast function; which can be constructed from the…

Statistics Theory · Mathematics 2021-04-29 Mamadou Lamine Diop , William Kengne

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

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

Statistics Theory · Mathematics 2011-10-27 Boris Brodsky , Boris Darkhovsky

Detecting changepoints in datasets with many variates is a data science challenge of increasing importance. Motivated by the problem of detecting changes in the incidence of terrorism from a global terrorism database, we propose a novel…

Methodology · Statistics 2021-03-30 S. O. Tickle , I. A. Eckley , P. Fearnhead

Given a heterogeneous time-series sample, the objective is to find points in time (called change points) where the probability distribution generating the data has changed. The data are assumed to have been generated by arbitrary unknown…

Machine Learning · Statistics 2015-05-13 Azadeh Khaleghi , Daniil Ryabko