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Sequential change-point detection for time series enables us to sequentially check the hypothesis that the model still holds as more and more data are observed. It is widely used in data monitoring in practice. In this work, we consider…

Methodology · Statistics 2025-09-10 Yajun Liu , Beth Andrews

Sequential change-point detection for time series is widely used in data monitoring in practice. In this work, we focus on sequential change-point detection on high-order compositional time series models. Under the regularity conditions, we…

Methodology · Statistics 2025-03-05 Yajun Liu , Beth Andrews

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

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

Methodology · Statistics 2018-05-01 Hao Chen

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

The detection of serial dependence in binary or binomial valued time series is difficult using standard time series methods, particularly when there are regression effects to be modelled. In this paper we derive score-type tests for…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

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

Change points in real-world systems mark significant regime shifts in system dynamics, possibly triggered by exogenous or endogenous factors. These points define regimes for the time evolution of the system and are crucial for understanding…

Machine Learning · Statistics 2025-09-30 Ioanna-Yvonni Tsaknaki , Fabrizio Lillo , Piero Mazzarisi

The first-order binomial autoregressive (BAR(1)) model is the most frequently used tool to analyze the bounded count time series. The BAR(1) model is stationary and assumes process parameters to remain constant throughout the time period,…

Methodology · Statistics 2024-04-23 Danshu Sheng , Chang Liu , Yao Kang

This paper develops asymptotic theory for estimation of parameters in regression models for binomial response time series where serial dependence is present through a latent process. Use of generalized linear model (GLM) estimating…

Statistics Theory · Mathematics 2016-06-06 W. T. M. Dunsmuir , J. Y. He

We derive tests of stationarity for univariate time series by combining change-point tests sensitive to changes in the contemporary distribution with tests sensitive to changes in the serial dependence. The proposed approach relies on a…

Methodology · Statistics 2018-09-21 Axel Bücher , Jean-David Fermanian , Ivan Kojadinovic

Change-point detection and locally stationary time series modeling are two major approaches for the analysis of non-stationary data. The former aims to identify stationary phases by detecting abrupt changes in the dynamics of a time series…

Methodology · Statistics 2026-01-16 Wai Leong Ng , Xinyi Tang , Mun Lau Cheung , Jiacheng Gao , Chun Yip Yau , Holger Dette

Generative, temporal network models play an important role in analyzing the dependence structure and evolution patterns of complex networks. Due to the complicated nature of real network data, it is often naive to assume that the underlying…

Methodology · Statistics 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang

We present new algorithms for detecting the emergence of a community in large networks from sequential observations. The networks are modeled using Erdos-Renyi random graphs with edges forming between nodes in the community with higher…

Machine Learning · Statistics 2015-06-22 David Marangoni-Simonsen , Yao Xie

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

Anomaly detection of multivariate time series is meaningful for system behavior monitoring. This paper proposes an anomaly detection method based on unsupervised Short- and Long-term Mask Representation learning (SLMR). The main idea is to…

Machine Learning · Computer Science 2022-08-24 Qiucheng Miao , Chuanfu Xu , Jun Zhan , Dong Zhu , Chengkun Wu

Monitoring economic conditions and financial stability with an early warning system serves as a prevention mechanism for unexpected economic events. In this paper, we investigate the statistical performance of sequential break-point…

Applications · Statistics 2021-12-14 Christis Katsouris

We investigate sequential change point estimation and detection in univariate nonparametric settings, where a stream of independent observations from sub-Gaussian distributions with a common variance factor and piecewise-constant but…

Statistics Theory · Mathematics 2020-11-16 Yi Yu , Oscar Hernan Madrid Padilla , Daren Wang , Alessandro Rinaldo

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

Methodology · Statistics 2021-09-16 Hoseung Song , Hao Chen

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

Statistics Theory · Mathematics 2012-07-09 Arash Ali Amini , XuanLong Nguyen
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