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Time series segmentation, a.k.a. multiple change-point detection, is a well-established problem. However, few solutions are designed specifically for high-dimensional situations. In this paper, our interest is in segmenting the second-order…

Methodology · Statistics 2016-11-29 Haeran Cho , Piotr Fryzlewicz

In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

Methodology · Statistics 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

We propose a new technique, called wild binary segmentation (WBS), for consistent estimation of the number and locations of multiple change-points in data. We assume that the number of change-points can increase to infinity with the sample…

Statistics Theory · Mathematics 2014-11-05 Piotr Fryzlewicz

The development of compact and energy-efficient wearable sensors has led to an increase in the availability of biosignals. To analyze these continuously recorded, and often multidimensional, time series at scale, being able to conduct…

Machine Learning · Computer Science 2022-08-02 Knut J. Strømmen , Jim Tørresen , Ulysse Côté-Allard

We propose a novel and unified framework for change-point estimation in multivariate time series. The proposed method is fully nonparametric, enjoys effortless tuning and is robust to temporal dependence. One salient and distinct feature of…

Methodology · Statistics 2022-09-12 Zifeng Zhao , Feiyu Jiang , Xiaofeng Shao

In this paper, we propose a fast, well-performing, and consistent method for segmenting a piecewise-stationary, linear time series with an unknown number of breakpoints. The time series model we use is the nonparametric Locally Stationary…

Methodology · Statistics 2016-11-30 Haeran Cho , Piotr Fryzlewicz

Binary segmentation, which is sequential in nature is thus far the most widely used method for identifying multiple change points in statistical models. Here we propose a top down methodology called arbitrary segmentation that proceeds in a…

Statistics Theory · Mathematics 2019-06-12 Abhishek Kaul , Venkata K Jandhyala , Stergios B Fotopoulos

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

Statistics Theory · Mathematics 2020-11-05 Zixiang Guan , Gemai Chen

Anomaly Detection in multivariate time series is a major problem in many fields. Due to their nature, anomalies sparsely occur in real data, thus making the task of anomaly detection a challenging problem for classification algorithms to…

Machine Learning · Computer Science 2023-08-08 Anastasios Iliopoulos , John Violos , Christos Diou , Iraklis Varlamis

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.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

Methodology · Statistics 2026-02-02 Nicolas Bianco , Lorenzo Cappello

We introduce a novel Bayesian method that can detect multiple structural breaks in the mean and variance of a length $T$ time-series. Our method quantifies uncertainty by returning $\alpha$-level credible sets around the estimated locations…

Methodology · Statistics 2025-07-14 Davis Berlind , Lorenzo Cappello , Oscar Hernan Madrid Padilla

A new Bayesian modelling framework is introduced for piece-wise homogeneous variable-memory Markov chains, along with a collection of effective algorithmic tools for change-point detection and segmentation of discrete time series. Building…

Methodology · Statistics 2025-01-14 Valentinian Lungu , Ioannis Papageorgiou , Ioannis Kontoyiannis

As a new method for detecting change-points in high-resolution time series, we apply Maximum Mean Discrepancy to the distributions of ordinal patterns in different parts of a time series. The main advantage of this approach is its…

Methodology · Statistics 2012-10-19 Mathieu Sinn , Ali Ghodsi , Karsten Keller

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

Data segmentation a.k.a. multiple change point analysis has received considerable attention due to its importance in time series analysis and signal processing, with applications in a variety of fields including natural and social sciences,…

Methodology · Statistics 2021-07-09 Haeran Cho , Claudia Kirch

Hyperspectral change detection plays an essential role of monitoring the dynamic urban development and detecting precise fine object evolution and alteration. In this paper, we have proposed an original Efficient Multi-temporal…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Meiqi Hu , Chen Wu , Bo Du

Change point methods are used to divide a sequence of observations into segments with different behaviour. Often, the distributional form of the observations is unknown, but the changes of interest are likely to involve shifts in location,…

Methodology · Statistics 2026-05-04 Gordon J. Ross

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

Methodology · Statistics 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

Existing supervised action segmentation methods depend on the quality of frame-wise classification using attention mechanisms or temporal convolutions to capture temporal dependencies. Even boundary detection-based methods primarily depend…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Kamel Aouaidjia , Wenhao Zhang , Aofan Li , Chongsheng Zhang
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