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Sequential change point tests aim at giving an alarm as soon as possible after a structural break occurs while controlling the asymptotic false alarm error. For such tests it is of particular importance to understand how quickly a break is…

统计理论 · 数学 2020-03-20 Claudia Kirch , Christina Stoehr

We consider sequential change-point detection in parallel data streams, where each stream has its own change point. Once a change is detected in a data stream, this stream is deactivated permanently. The goal is to maximize the normal…

统计理论 · 数学 2021-07-15 Yunxiao Chen , Xiaoou Li

Assume that there are multiple data streams (channels, sensors) and in each stream the process of interest produces generally dependent and non-identically distributed observations. When the process is in a normal mode (in-control), the…

统计理论 · 数学 2018-07-25 Alexander Tartakovsky

We propose a probabilistic formulation that enables sequential detection of multiple change points in a network setting. We present a class of sequential detection rules for certain functionals of change points (minimum among a subset), and…

统计理论 · 数学 2012-07-09 Arash Ali Amini , XuanLong Nguyen

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

信息论 · 计算机科学 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

The paper addresses a joint sequential changepoint detection and identification/isolation problem for a general stochastic model, assuming that the observed data may be dependent and non-identically distributed, the prior distribution of…

统计理论 · 数学 2021-03-04 Alexander G. Tartakovsky

We present a simple reduction from sequential estimation to sequential changepoint detection (SCD). In short, suppose we are interested in detecting changepoints in some parameter or functional $\theta$ of the underlying distribution. We…

统计理论 · 数学 2023-02-07 Shubhanshu Shekhar , Aaditya Ramdas

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

This paper addresses a fundamental but largely unexplored challenge in sequential changepoint analysis: conducting inference following a detected change. We develop a very general framework to construct confidence sets for the unknown…

机器学习 · 统计学 2026-05-12 Aytijhya Saha , Aaditya Ramdas

In this paper, the problem of quickly detecting an abrupt change on a stochastic process under Bayesian framework is considered. Different from the classic Bayesian quickest change-point detection problem, this paper considers the case…

信息论 · 计算机科学 2017-08-24 Jun Geng , Erhan Bayraktar , Lifeng Lai

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

We consider a popular online change-point problem of detecting a transient change in distributions of i.i.d. random variables. For this change-point problem, several change-point procedures are formulated and some advanced results for a…

统计理论 · 数学 2021-04-08 Jack Noonan

The problem of quickest detection of a change in distribution is considered under the assumption that the pre-change distribution is known, and the post-change distribution is only known to belong to a family of distributions…

应用统计 · 统计学 2019-01-30 Tze Siong Lau , Wee Peng Tay , Venugopal V. Veeravalli

Consider the problem on sequential change-point detection on multiple data streams. We provide the asymptotic lower bounds of the detection delays at all levels of change-point sparsity and we derive a smaller asymptotic lower bound of the…

统计理论 · 数学 2023-06-02 Jingyan Huang

The problem of quickest detection of a change in the mean of a sequence of independent observations is studied. The pre-change distribution is assumed to be stationary, while the post-change distributions are allowed to be non-stationary.…

信号处理 · 电气工程与系统科学 2021-08-26 Yuchen Liang , Venugopal V. Veeravalli

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

机器学习 · 计算机科学 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

In the problem of quickest change detection, a change occurs at some unknown time in the distribution of a sequence of random vectors that are monitored in real time, and the goal is to detect this change as quickly as possible subject to a…

信息论 · 计算机科学 2023-10-27 Venugopal V. Veeravalli , Georgios Fellouris , George V. Moustakides

Detecting abrupt changes in data streams is crucial because they are often triggered by events that have important consequences if left unattended. Quickest change point detection has become a vital sequential analysis primitive that aims…

量子物理 · 物理学 2023-10-23 Marco Fanizza , Christoph Hirche , John Calsamiglia

In this paper, we study the quickest change detection with mismatched post-change models. A change point is the time instant at which the distribution of a random process changes. The objective of quickest change detection is to minimize…

统计方法学 · 统计学 2016-01-27 Jingxian Wu , Jing Yang

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

机器学习 · 计算机科学 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram