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For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

统计方法学 · 统计学 2026-05-08 Haeran Cho , Tobias Kley , Housen Li

Detecting changes in high-dimensional vectors presents significant challenges, especially when the post-change distribution is unknown and time-varying. This paper introduces a novel robust algorithm for correlation change detection in…

统计方法学 · 统计学 2024-10-07 Assma Alghamdi , Taposh Banerjee , Jayant Rajgopal

This work considers the problem of detecting signals from multiple sequentially observed data streams, where only one stream can be observed at every time instant. The goal is to detect signals as quickly as possible while controlling the…

统计方法学 · 统计学 2026-04-07 Yiming Xing , Georgios Fellouris

This work develops techniques for the sequential detection and location estimation of transient changes in the volatility (standard deviation) of time series data. In particular, we introduce a class of change detection algorithms based on…

系统与控制 · 计算机科学 2017-12-29 Alireza Ahrabian , Nazli Farajidavar , Clive Cheong-Took , Payam Barnaghi

We propose an inference method for detecting multiple change points in high-dimensional time series, targeting dense or spatially clustered signals. Our method aggregates moving sum (MOSUM) statistics cross-sectionally by an $\ell^2$-norm…

统计理论 · 数学 2023-07-06 Jiaqi Li , Likai Chen , Weining Wang , Wei Biao Wu

Changes, planned or unexpected, are common during the execution of real-life processes. Detecting these changes is a must for optimizing the performance of organizations running such processes. Most of the algorithms present in the…

人工智能 · 计算机科学 2025-10-28 Victor Gallego-Fontenla , Juan C. Vidal , Manuel Lama

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

统计方法学 · 统计学 2013-10-16 David S. Matteson , Nicholas A. James

After obtaining an accurate approximation for $ARL_0$, we first consider the optimal design of weight parameter for a multivariate EWMA chart that minimizes the stationary average delay detection time (SADDT). Comparisons with moving…

统计理论 · 数学 2022-06-24 Yanhong Wu , Wei Biao Wu

Online change detection involves monitoring a stream of data for changes in the statistical properties of incoming observations. A good change detector will detect any changes shortly after they occur, while raising few false alarms.…

统计理论 · 数学 2020-03-03 Thomas Flynn , Shinjae Yoo

We consider nonparametric sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution with some loose constraints. We…

信息论 · 计算机科学 2013-11-15 Shouvik Ganguly , K Sahasranand , Vinod Sharma

This paper deals with the problem of asymptotically optimal detection of changes in regime-switching stochastic models. We need to divide the whole obtained sample of data into several sub-samples with observations belonging to different…

统计理论 · 数学 2013-01-25 Boris Brodsky , Boris Darkhovsky

A method for change point detection is proposed. We consider a univariate sequence of independent random variables with piecewise constant expectation and variance, apart from which the distribution may vary periodically. We aim to detect…

统计方法学 · 统计学 2021-06-23 Michael Messer

The problem of quickest detection of a change in the distribution of a sequence of random variables is studied. The objective is to detect the change with the minimum possible delay, subject to constraints on the rate of false alarms and…

统计方法学 · 统计学 2024-12-31 Yingze Hou , Hoda Bidkhori , Taposh Banerjee

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

信号处理 · 电气工程与系统科学 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

机器学习 · 计算机科学 2023-01-24 Nikolaj Tatti

We consider the problem of simultaneous detection and estimation under a sequential framework. In particular we are interested in sequential tests that distinguish between the null and the alternative hypothesis and every time the decision…

统计理论 · 数学 2013-09-24 Yasin Yilmaz , George V. Moustakides , Xiaodong Wang

Multi-stream sequential change detection involves simultaneously monitoring many streams of data and trying to detect when their distributions change, if at all. Here, we theoretically study multiple testing issues that arise from detecting…

统计理论 · 数学 2025-02-04 Sanjit Dandapanthula , Aaditya Ramdas

This work is about recovering an analysis-sparse vector, i.e. sparse vector in some transform domain, from under-sampled measurements. In real-world applications, there often exist random analysis-sparse vectors whose distribution in the…

信息论 · 计算机科学 2022-12-29 Raziyeh Takbiri , Sajad Daei

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

应用统计 · 统计学 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

Structural change detection problems are often encountered in analytics and econometrics, where the performance of a model can be significantly affected by unforeseen changes in the underlying relationships. Although these problems have a…

统计方法学 · 统计学 2019-05-29 Pekka Malo , Lauri Viitasaari , Olga Gorskikh , Pauliina Ilmonen