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Change point detection is becoming increasingly popular in many application areas. On one hand, most of the theoretically-justified methods are investigated in an ideal setting without model violations, or merely robust against identical…

统计方法学 · 统计学 2021-10-26 Mengchu Li , Yi Yu

We introduce a powerful scan statistic and the corresponding test for detecting the presence and pinpointing the location of a change point within the distribution of a data sequence with the data elements residing in a separable metric…

统计方法学 · 统计学 2026-01-27 Paromita Dubey , Minxing Zheng

In this paper we consider change-points in multiple sequences with the objective of minimizing the estimation error of a sequence by making use of information from other sequences. This is in contrast to recent interest on change-points in…

统计理论 · 数学 2023-02-02 Hock Peng Chan

We consider nonparametric or universal sequential hypothesis testing problem when the distribution under the null hypothesis is fully known but the alternate hypothesis corresponds to some other unknown distribution. These algorithms are…

信息论 · 计算机科学 2013-08-30 Jithin K. Sreedharan , Vinod Sharma

We propose an online detection procedure for cascading failures in the network from sequential data, which can be modeled as multiple correlated change-points happening during a short period. We consider a temporal diffusion network model…

其他统计学 · 统计学 2021-02-09 Rui Zhang , Yao Xie , Rui Yao , Feng Qiu

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

统计方法学 · 统计学 2015-02-18 Hao Chen , Nancy Zhang

The change point is a moment of an abrupt alteration in the data distribution. Current methods for change point detection are based on recurrent neural methods suitable for sequential data. However, recent works show that transformers based…

机器学习 · 计算机科学 2022-04-19 Anna Dmitrienko , Evgenia Romanenkova , Alexey Zaytsev

We develop a mixture procedure for multi-sensor systems to monitor data streams for a change-point that causes a gradual degradation to a subset of the streams. Observations are assumed to be initially normal random variables with known…

机器学习 · 统计学 2016-02-19 Yang Cao , Yao Xie , Nagi Gebraeel

The problem of change-point estimation is considered under a general framework where the data are generated by unknown stationary ergodic process distributions. In this context, the consistent estimation of the number of change-points is…

机器学习 · 统计学 2013-02-15 Azaden Khaleghi , Daniil Ryabko

We consider the sequential change-point detection problem of detecting changes that are characterized by a subspace structure. Such changes are frequent in high-dimensional streaming data altering the form of the corresponding covariance…

统计理论 · 数学 2018-06-29 Liyan Xie , George V. Moustakides , Yao Xie

We consider online monitoring of the network event data to detect local changes in a cluster when the affected data stream distribution shifts from one point process to another with different parameters. Specifically, we are interested in…

统计方法学 · 统计学 2022-12-26 Rui Zhang , Haoyun Wang , Yao Xie

The goal of anomaly detection is to identify observations that are generated by a distribution that differs from the reference distribution that qualifies normal behavior. When examining a time series, the reference distribution may evolve…

统计方法学 · 统计学 2024-07-23 Etienne Krönert , Dalila Hattab , Alain Celisse

In sequential change detection, existing performance measures differ significantly in the way they treat the time of change. By modeling this quantity as a random time, we introduce a general framework capable of capturing and better…

统计理论 · 数学 2008-12-18 George V. Moustakides

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

统计理论 · 数学 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

In many modern applications, large-scale sensor networks are used to perform statistical inference tasks. In this paper, we propose Bayesian methods for multiple change-point detection using a sensor network in which a fusion center (FC)…

信息论 · 计算机科学 2023-07-19 Eyal Nitzan , Topi Halme , Visa Koivunen

We consider the quickest change-point detection problem in pointwise and minimax settings for general dependent data models. Two new classes of sequential detection procedures associated with the maximal "local" probability of a false alarm…

统计理论 · 数学 2016-01-18 Serguei M. Pergamenchtchikov , Alexander G. Tartakovsky

This paper addresses the problem of change-point detection on sequences of high-dimensional and heterogeneous observations, which also possess a periodic temporal structure. Due to the dimensionality problem, when the time between…

机器学习 · 统计学 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

统计方法学 · 统计学 2018-02-23 Lynna Chu , Hao Chen

We study the problem of detecting an abrupt change to the signal covariance matrix. In particular, the covariance changes from a "white" identity matrix to an unknown spiked or low-rank matrix. Two sequential change-point detection…

统计理论 · 数学 2017-06-16 Liyan Xie , Yao Xie

Sequential change-point detection plays a critical role in numerous real-world applications, where timely identification of distributional shifts can greatly mitigate adverse outcomes. Classical methods commonly rely on parametric density…

机器学习 · 统计学 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu