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In this paper, we further investigate the problem of selecting a set of design points for universal kriging, which is a widely used technique for spatial data analysis. Our goal is to select the design points in order to make simultaneous…

Methodology · Statistics 2024-01-18 Helmut Waldl , Werner G. Müller , Paula Camelia Trandafir

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

Statistics Theory · Mathematics 2021-04-08 Jack Noonan

This paper describes and compares several prominent single and multiple changepoint techniques for time series data. Due to their importance in inferential matters, changepoint research on correlated data has accelerated recently.…

Methodology · Statistics 2021-01-07 Xueheng Shi , Colin Gallagher , Robert Lund , Rebecca Killick

This paper considers a sequence of random variables generated according to a common distribution. The distribution might undergo periods of transient changes at an unknown set of time instants, referred to as change-points. The objective is…

Information Theory · Computer Science 2018-04-26 Javad Heydari , Ali Tajer

We introduce a very general method for high-dimensional classification, based on careful combination of the results of applying an arbitrary base classifier to random projections of the feature vectors into a lower-dimensional space. In one…

Methodology · Statistics 2017-06-06 Timothy I. Cannings , Richard J. Samworth

In this paper, I propose a general procedure for multivariate distribution-free nonparametric testing derived from the concept of ranks that are based upon measure transportation in the context of multiple change point analysis. I will use…

Other Statistics · Statistics 2021-08-30 Amanda Ng

Accurately detecting multiple change-points is critical for various applications, but determining the optimal number of change-points remains a challenge. Existing approaches based on information criteria attempt to balance goodness-of-fit…

Methodology · Statistics 2023-12-19 Hui Chen , Yinxu Jia , Guanghui Wang , Changliang Zou

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

The paper studies the problem of detecting and locating change points in multivariate time-evolving data. The problem has a long history in statistics and signal processing and various algorithms have been developed primarily for simple…

Machine Learning · Statistics 2025-03-13 Jialiang Geng , George Michailidis

We investigate the large-sample behavior of change-point tests based on weighted two-sample U-statistics, in the case of short-range dependent data. Under some mild mixing conditions, we establish convergence of the test statistic to an…

Statistics Theory · Mathematics 2023-04-04 Herold Dehling , Kata Vuk , Martin Wendler

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

Methodology · Statistics 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

Autoregressive models capture stochastic processes in which past realizations determine the generative distribution of new data; they arise naturally in a variety of industrial, biomedical, and financial settings. A key challenge when…

Statistics Theory · Mathematics 2020-07-30 Daren Wang , Yi Yu , Alessandro Rinaldo , Rebecca Willett

Detecting recent changepoints in time-series can be important for short-term prediction, as we can then base predictions just on the data since the changepoint. In many applications we have panel data, consisting of many related univariate…

Applications · Statistics 2017-10-20 Lawrence Bardwell , Idris Eckley , Paul Fearnhead , Simon Smith , Martin Spott

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

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

Methodology · Statistics 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

We examine the linear regression problem in a challenging high-dimensional setting with correlated predictors where the vector of coefficients can vary from sparse to dense. In this setting, we propose a combination of probabilistic…

Methodology · Statistics 2025-05-13 Roman Parzer , Peter Filzmoser , Laura Vana-Gür

We study the problem of identifying change points in high-dimensional generalized linear models, and propose an approach based on sample-weighted empirical risk minimization. Our method, Weighted ERM, encodes priors on the change points via…

Methodology · Statistics 2026-04-14 Gabriel Arpino , Ramji Venkataramanan

We propose a two-stage approach Spec PC-CP to identify change points in multivariate time series. In the first stage, we obtain a low-dimensional summary of the high-dimensional time series by Spectral Principal Component Analysis…

Applications · Statistics 2021-01-13 Shuhao Jiao , Tong Shen , Zhaoxia Yu , Hernando Ombao

This paper addresses the issue of detecting change-points in multivariate time series. The proposed approach differs from existing counterparts by making only weak assumptions on both the change-points structure across series, and the…

Methodology · Statistics 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

Moments when a time series changes its behavior are called change points. Occurrence of change point implies that the state of the system is altered and its timely detection might help to prevent unwanted consequences. In this paper, we…

Machine Learning · Computer Science 2026-03-10 Mikhail Hushchyn , Kenenbek Arzymatov , Denis Derkach