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Sequences of random objects arise from many real applications, including high throughput omic data and functional imaging data. Those sequences are usually dependent, non-linear, or even Non-Euclidean, and an important problem is…

Statistics Theory · Mathematics 2019-06-28 Xueqin Wang , Qiang Zhang , Wenliang Pan , Xin Chen , Heping Zhang

We provide an online framework for analyzing data recorded by smart watches during running activities. In particular, we focus on identifying variations in the behavior of one or more measurements caused by changes in physical condition,…

Applications · Statistics 2022-06-24 Mattia Stival , Mauro Bernardi , Petros Dellaportas

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

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

Statistics Theory · Mathematics 2013-05-10 Yao Xie , David Siegmund

We present a new non-parametric statistic, called the weighed $\ell_2$ divergence, based on empirical distributions for sequential change detection. We start by constructing the weighed $\ell_2$ divergence as a fundamental building block…

Statistics Theory · Mathematics 2021-02-25 Liyan Xie , Yao Xie

We introduce a novel geometry-oriented methodology, based on the emerging tools of topological data analysis, into the change point detection framework. The key rationale is that change points are likely to be associated with changes in…

Machine Learning · Statistics 2019-10-30 Umar Islambekov , Monisha Yuvaraj , Yulia R. Gel

We propose a new sequential monitoring scheme for changes in the parameters of a multivariate time series. In contrast to procedures proposed in the literature which compare an estimator from the training sample with an estimator calculated…

Statistics Theory · Mathematics 2020-07-28 Josua Gösmann , Tobias Kley , Holger Dette

We proposed a data-driven approach to dissect multivariate time series in order to discover multiple phases underlying dynamics of complex systems. This computing approach is developed as a multiple-dimension version of Hierarchical Factor…

Methodology · Statistics 2021-03-09 Xiaodong Wang , Fushing Hsieh

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

We consider sequential change-point detection in parallel data streams, where each stream has its own change point. Once a change is detected in a data stream, this stream is deactivated permanently. The goal is to maximize the normal…

Statistics Theory · Mathematics 2021-07-15 Yunxiao Chen , Xiaoou Li

In this paper, we propose a new method for offline change-point detection on some parameters of the distribution of a random vector. We introduce a penalized maximum likelihood approach that can be efficiently computed by a dynamic…

Methodology · Statistics 2021-11-22 Lucas Prates , Renan B Lemes , Tábita Hünemeier , Florencia Leonardi

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

Machine Learning · Statistics 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

In this paper, we consider the problem of quickest change point detection and identification over a linear array of $N$ sensors, where the change pattern could first reach any of these sensors, and then propagate to the other sensors. Our…

Information Theory · Computer Science 2013-05-21 Di Li , Lifeng Lai , Shuguang Cui

We present novel retrospective change point detection approach based on optimal transport and geometric discrepancy. The method does not require any parametric assumptions about distributions separated by change points. It can be used both…

Methodology · Statistics 2017-07-28 Nikita Pronko

We consider the problem of detecting jumps in an otherwise smoothly evolving trend whilst the covariance and higher-order structures of the system can experience both smooth and abrupt changes over time. The number of jump points is allowed…

Methodology · Statistics 2023-12-27 Weichi Wu , Zhou Zhou

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

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

This paper proposes strategies to detect time reversibility in stationary stochastic processes by using the properties of mixed causal and noncausal models. It shows that they can also be used for non-stationary processes when the trend…

Econometrics · Economics 2022-11-23 Francesco Giancaterini , Alain Hecq , Claudio Morana

Multiple change point (MCP) detection in non-stationary time series is challenging due to the variety of underlying patterns. To address these challenges, we propose a novel algorithm that integrates Active Learning (AL) with Deep Gaussian…

Machine Learning · Computer Science 2025-05-28 Hao Zhao , Rong Pan

In many complex systems, networks and graphs arise in a natural manner. Often, time evolving behavior can be easily found and modeled using time-series methodology. Amongst others, two common research problems in network analysis are…

Social and Information Networks · Computer Science 2020-07-02 Rex C. Y. Cheung , Alexander Aue , Seungyong Hwang , Thomas C. M. Lee