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We present a distribution-free CUSUM procedure designed for online change detection in a time series of low-rank images, particularly when the change causes a mean shift. We represent images as matrix data and allow for temporal dependence,…

统计方法学 · 统计学 2025-02-28 Tingnan Gong , Seong-Hee Kim , Yao Xie

A common computational problem in multiple change-point models is to recover the segmentations with $1$ to $K_{max}$ change-points of minimal cost with respect to some loss function. Here we present an algorithm to prune the set of…

统计计算 · 统计学 2016-05-19 Guillem Rigaill

Consider each node of a graph to be generating a data stream that is synchronized and observed at near real-time. At a change-point $\tau$, a change occurs at a subset of nodes $C$, which affects the probability distribution of their…

机器学习 · 统计学 2023-01-13 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis

Online change-point detection (OCPD) is important for application in various areas such as finance, biology, and the Internet of Things (IoT). However, OCPD faces major challenges due to high-dimensionality, and it is still rarely studied…

机器学习 · 统计学 2019-06-10 Yang-Wen Sun , Katerina Papagiannouli , Vladmir Spokoiny

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

统计方法学 · 统计学 2016-01-15 Florencia Leonardi , Peter Bühlmann

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

Sequential change-point detection for graphs is a fundamental problem for streaming network data types and has wide applications in social networks and power systems. Given fixed vertices and a sequence of random graphs, the objective is to…

统计理论 · 数学 2021-02-12 Liyan Xie , Yao Xie

Standard online change point detection (CPD) methods tend to have large false discovery rates as their detections are sensitive to outliers. To overcome this drawback, we propose Greedy Online Change Point Detection (GOCPD), a…

信号处理 · 电气工程与系统科学 2023-08-15 Jou-Hui Ho , Felipe Tobar

Changepoint detection is a technique used to identify significant shifts in sequences and is widely used in fields such as finance, genomics, and medicine. To identify the changepoints, dynamic programming (DP) algorithms, particularly…

机器学习 · 统计学 2025-07-29 Tung L Nguyen , Toby Dylan Hocking

The aim of online change-point detection is for a accurate, timely discovery of structural breaks. As data dimension outgrows the number of data in observation, online detection becomes challenging. Existing methods typically test only the…

机器学习 · 统计学 2022-03-17 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

We introduce and study two new inferential challenges associated with the sequential detection of change in a high-dimensional mean vector. First, we seek a confidence interval for the changepoint, and second, we estimate the set of indices…

统计方法学 · 统计学 2023-03-03 Yudong Chen , Tengyao Wang , Richard J. Samworth

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

We consider the problem of sequential (online) estimation of a single change point in a piecewise linear regression model under a Gaussian setup. We demonstrate that certain CUSUM-type statistics attain the minimax optimal rates for…

统计理论 · 数学 2026-05-08 Annika Hüselitz , Housen Li , Axel Munk

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

机器学习 · 统计学 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade

Gaussian Processes (GPs) are widely used for regression and system identification due to their flexibility and ability to quantify uncertainty. However, their computational complexity limits their applicability to small datasets. Moreover…

机器学习 · 计算机科学 2025-08-27 Thore Wietzke , Knut Graichen

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

Neural networks performance has been significantly improved in the last few years, at the cost of an increasing number of floating point operations per second (FLOPs). However, more FLOPs can be an issue when computational resources are…

计算机视觉与模式识别 · 计算机科学 2022-12-08 Thibault Castells , Seul-Ki Yeom

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

应用统计 · 统计学 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

We consider the problem of uncertainty quantification in change point regressions, where the signal can be piecewise polynomial of arbitrary but fixed degree. That is we seek disjoint intervals which, uniformly at a given confidence level,…

统计方法学 · 统计学 2024-12-12 Shakeel Gavioli-Akilagun , Piotr Fryzlewicz

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…

统计方法学 · 统计学 2024-08-15 Daniel Cirkovic , Tiandong Wang , Xianyang Zhang