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When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

统计力学 · 物理学 2024-10-21 Henrik Seckler , Ralf Metzler

Many time series exhibit changes both in level and in variability. Generally, it is more important to detect a change in the level, and changing or smoothly evolving variability can confound existing tests. This paper develops a framework…

统计理论 · 数学 2016-12-09 Tomasz Gorecki , Lajos Horvath , Piotr Kokoszka

Modeling functions that are sequentially observed as functional time series is becoming increasingly common. In such models, it is often crucial to ensure data homogeneity. We investigate the sensitivity of graph-based change point…

统计方法学 · 统计学 2025-03-25 Jeremy VanderDoes , Shojaeddin Chenouri

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

机器学习 · 计算机科学 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang

The detection of anomalies or transitions in complex dynamical systems is of critical importance to various applications. In this study, we propose the use of machine learning to detect changepoints for high-dimensional dynamical systems.…

动力系统 · 数学 2023-05-18 Sen Lin , Gianmarco Mengaldo , Romit Maulik

We consider the problem of change-point detection in multivariate time-series. The multivariate distribution of the observations is supposed to follow a graphical model, whose graph and parameters are affected by abrupt changes throughout…

机器学习 · 统计学 2016-06-20 Loïc Schwaller , Stéphane Robin

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…

计量经济学 · 经济学 2024-02-09 Arnaud Dufays , Aristide Houndetoungan , Alain Coën

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

统计方法学 · 统计学 2021-09-01 Ciaran Evans , Max G'Sell

The change point is a moment of an abrupt alteration in the data distribution. Current methods for change point detection are based on recurrent neural methods suitable for sequential data. However, recent works show that transformers based…

机器学习 · 计算机科学 2022-04-19 Anna Dmitrienko , Evgenia Romanenkova , Alexey Zaytsev

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

统计方法学 · 统计学 2021-05-13 Xiaodong Wang , Fushing Hsieh

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…

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…

统计方法学 · 统计学 2014-07-14 Flore Harlé , Florent Chatelain , Cédric Gouy-Pailler , Sophie Achard

High-dimensional changepoint analysis is a growing area of research and has applications in a wide range of fields. The aim is to accurately and efficiently detect changepoints in time series data when both the number of time points and…

统计方法学 · 统计学 2020-04-01 Thomas Grundy , Rebecca Killick , Gueorgui Mihaylov

Change point detection algorithms have numerous applications in fields of scientific and economic importance. We consider the problem of change point detection on compositional multivariate data (each sample is a probability mass function),…

应用统计 · 统计学 2019-01-16 Prabuchandran K. J. , Nitin Singh , Pankaj Dayama , Vinayaka Pandit

Change detection is of fundamental importance when analyzing data streams. Detecting changes both quickly and accurately enables monitoring and prediction systems to react, e.g., by issuing an alarm or by updating a learning algorithm.…

机器学习 · 计算机科学 2024-01-17 Marco Heyden , Edouard Fouché , Vadim Arzamasov , Tanja Fenn , Florian Kalinke , Klemens Böhm

Given a times series ${\bf Y}$ in $\mathbb{R}^n$, with a piece-wise contant mean and independent components, the twin problems of change-point detection and change-point localization respectively amount to detecting the existence of times…

Change point detection is an important part of time series analysis, as the presence of a change point indicates an abrupt and significant change in the data generating process. While many algorithms for change point detection have been…

机器学习 · 统计学 2022-02-15 Gerrit J. J. van den Burg , Christopher K. I. Williams

The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical change-point detection algorithm based on non-parametric divergence estimation…

机器学习 · 统计学 2015-03-20 Song Liu , Makoto Yamada , Nigel Collier , Masashi Sugiyama

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…

信息论 · 计算机科学 2018-04-26 Javad Heydari , Ali Tajer

Modern multiscale type segmentation methods are known to detect multiple change-points with high statistical accuracy, while allowing for fast computation. Underpinning theory has been developed mainly for models that assume the signal as a…

统计理论 · 数学 2019-09-26 Housen Li , Qinghai Guo , Axel Munk