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A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

统计方法学 · 统计学 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

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…

统计方法学 · 统计学 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

We address the problem of detection and estimation of one or two change-points in the mean of a series of random variables. We use the formalism of set estimation in regression: To each point of a design is attached a binary label that…

统计理论 · 数学 2018-09-07 Victor-Emmanuel Brunel

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,…

统计方法学 · 统计学 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

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…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

In recent years, change point detection for high dimensional data has become increasingly important in many scientific fields. Most literature develop a variety of separate methods designed for specified models (e.g. mean shift model,…

统计方法学 · 统计学 2022-07-20 Yue Bai , Abolfazl Safikhani

We consider the segmentation of set of correlated time-series, the correlation being allowed to take an arbitrary form but being the same at each time-position. We show that encoding the dependency in a factor model enables us to use the…

统计方法学 · 统计学 2018-07-18 Xavier Collilieux , Emilie Lebarbier , Stéphane Robin

We consider the problem of breakpoint detection in a regression modeling framework. To that end, we introduce a novel method, the max-EM algorithm which combines a constrained Hidden Markov Model with the Classification-EM (CEM) algorithm.…

统计计算 · 统计学 2024-10-14 Modibo Diabaté , Grégory Nuel , Olivier Bouaziz

The detection of change-points in a spatially or time ordered data sequence is an important problem in many fields such as genetics and finance. We derive the asymptotic distribution of a statistic recently suggested for detecting…

统计理论 · 数学 2015-10-01 Gérard Biau , Kevin Bleakley , David Mason

Many offline unsupervised change point detection algorithms rely on minimizing a penalized sum of segment-wise costs. We extend this framework by proposing to minimize a sum of discrepancies between segments. In particular, we propose to…

机器学习 · 计算机科学 2020-09-04 Aurélien Serre , Didier Chételat , Andrea Lodi

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

统计理论 · 数学 2011-10-27 Boris Brodsky , Boris Darkhovsky

We propose a new, computationally efficient, sparsity adaptive changepoint estimator for detecting changes in unknown subsets of a high-dimensional data sequence. Assuming the data sequence is Gaussian, we prove that the new method…

统计方法学 · 统计学 2023-11-27 Per August Jarval Moen , Ingrid Kristine Glad , Martin Tveten

Structured-output learning is a challenging problem; particularly so because of the difficulty in obtaining large datasets of fully labelled instances for training. In this paper we try to overcome this difficulty by presenting a…

计算机视觉与模式识别 · 计算机科学 2014-06-24 Roman Shapovalov , Dmitry Vetrov , Anton Osokin , Pushmeet Kohli

We introduce a framework for online changepoint detection and simultaneous model learning which is applicable to highly parametrized models, such as deep neural networks. It is based on detecting changepoints across time by sequentially…

机器学习 · 计算机科学 2020-10-08 Michalis K. Titsias , Jakub Sygnowski , Yutian Chen

Changepoint detection identifies significant shifts in data sequences, making it important in areas like finance, genetics, and healthcare. The Optimal Partitioning algorithms efficiently detect these changes, using a penalty parameter to…

机器学习 · 计算机科学 2025-10-07 Tung L Nguyen , Toby Hocking

In the multiple changepoint setting, various search methods have been proposed which involve optimising either a constrained or penalised cost function over possible numbers and locations of changepoints using dynamic programming. Such…

统计计算 · 统计学 2014-12-12 Kaylea Haynes , Idris A. Eckley , Paul Fearnhead

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

统计理论 · 数学 2008-01-08 Nathalie Akakpo

Change point analysis is concerned with detecting and locating structure breaks in the underlying model of a sequence of observations ordered by time, space or other variables. A widely adopted approach for change point analysis is to…

统计方法学 · 统计学 2024-04-10 Xingchi Li , Xianyang Zhang

Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

统计方法学 · 统计学 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

The paper algorithmizes the problem of regime change point identification for data measured in a system exhibiting impulsive behaviors. This is a fundamental challenge for annotation of measurement data relevant, e.g., for designing…

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