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In this paper, we study the problem of multiple change-point detection for a univariate sequence under the epidemic setting, where the behavior of the sequence alternates between a common normal state and different epidemic states. This is…

Methodology · Statistics 2021-01-07 Zifeng Zhao , Chun Yip Yau

The objective of the change-point detection is to discover the abrupt property changes lying behind the time-series data. In this paper, we firstly summarize the definition and in-depth implication of the changepoint detection. The next…

Machine Learning · Statistics 2019-08-21 Yixiao Li , Gloria Lin , Thomas Lau , Ruochen Zeng

This paper is devoted to change-point detection using only the ordinal structure of a time series. A statistic based on the conditional entropy of ordinal patterns characterizing the local up and down in a time series is introduced and…

Statistics Theory · Mathematics 2017-07-18 Anton M. Unakafov , Karsten Keller

Modern information systems generate large volumes of data with anomalies that occur at unknown points in time and have to be detected quickly and reliably with low false alarm rates. The paper develops a general theory of quickest…

Statistics Theory · Mathematics 2023-05-16 Alexander G Tartakovsky , Valentin Spivak

Change-point processes are one flexible approach to model long time series. We propose a method to uncover which model parameter truly vary when a change-point is detected. Given a set of breakpoints, we use a penalized likelihood approach…

Econometrics · Economics 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

A validated simulation model primarily requires performing an appropriate input analysis mainly by determining the behavior of real-world processes using probability distributions. In many practical cases, probability distributions of the…

Applications · Statistics 2014-03-05 Issac Shams , Saeede Ajorlou , Kai Yang

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

We consider the problem of uncertainty quantification in change point regressions, where the signal can be piecewise polynomial of arbitrary but fixed degree. That is we seek disjoint intervals which, uniformly at a given confidence level,…

Methodology · Statistics 2024-12-12 Shakeel Gavioli-Akilagun , Piotr Fryzlewicz

Time series classification is crucial for numerous scientific and engineering applications. In this article, we present a numerically efficient, practically competitive, and theoretically rigorous classification method for distinguishing…

Methodology · Statistics 2025-07-11 Chen Qian , Xiucai Ding , Lexin Li

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

Statistical models incorporating change points are common in practice, especially in the area of biomedicine. This approach is appealing in that a specific parameter is introduced to account for the abrupt change in the response variable…

Statistics Theory · Mathematics 2008-12-18 Hongling Zhou , Kung-Yee Liang

Motivated by an increasing demand for models that can effectively describe features of complex multivariate time series, e.g. from sensor data in biomechanics, motion analysis, and sports science, we introduce a novel state-space modeling…

Methodology · Statistics 2025-06-23 Alice Giampino , Bernardo Nipoti , Marina Vannucci , Michele Guindani

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

Machine Learning · Statistics 2016-07-13 Andreas Loukas , Nathanael Perraudin

In this paper, we study the offline change point localization problem in a sequence of dependent nonparametric random dot product graphs. To be specific, assume that at every time point, a network is generated from a nonparametric random…

Methodology · Statistics 2022-09-16 Oscar Hernan Madrid Padilla , Yi Yu , Carey E. Priebe

The problem of detecting change points in the parameters of a linear regression model with errors and covariates exhibiting heteroscedasticity is considered. Asymptotic results for weighted functionals of the cumulative sum (CUSUM)…

Econometrics · Economics 2025-10-28 Lajos Horvath , Gregory Rice , Yuqian Zhao

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

Machine Learning · Computer Science 2023-01-24 Nikolaj Tatti

Forecasting the evolution of complex systems is one of the grand challenges of modern data science. The fundamental difficulty lies in understanding the structure of the observed stochastic process. In this paper, we show that every…

Statistics Theory · Mathematics 2020-01-01 Xiucai Ding , Zhou Zhou

Detecting regime shifts in chaotic time series is hard because observation-space signals are entangled with intrinsic variability. We propose Parameter--Space Changepoint Detection (Param--CPD), a two--stage framework that first amortizes…

Machine Learning · Computer Science 2025-12-09 Xiangbo Deng , Cheng Chen , Peng Yang

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

Multivariate time series can often have a large number of dimensions, whether it is due to the vast amount of collected features or due to how the data sources are processed. Frequently, the main structure of the high-dimensional time…

Methodology · Statistics 2021-10-11 Euan Thomas McGonigle , Hankui Peng