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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…

Machine Learning · Computer Science 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

The problem of sequentially detecting an abrupt change in a sequence of independent and identically distributed (IID) random variables is addressed. Whereas previous approaches assume a known probability density function (PDF) at the start…

Statistics Theory · Mathematics 2017-12-11 James Falt , Steven D. Blostein

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…

Machine Learning · Statistics 2019-06-10 Yang-Wen Sun , Katerina Papagiannouli , Vladmir Spokoiny

Change-point detection (CPD), which detects abrupt changes in the data distribution, is recognized as one of the most significant tasks in time series analysis. Despite the extensive literature on offline CPD, unsupervised online CPD still…

Machine Learning · Computer Science 2023-12-07 Zahra Atashgahi , Decebal Constantin Mocanu , Raymond Veldhuis , Mykola Pechenizkiy

In this paper, we consider the Integrated Completed Likelihood (ICL) as a useful criterion for estimating the number of changes in the underlying distribution of data in problems where detecting the precise location of these changes is the…

Computation · Statistics 2013-07-02 Alice Cleynen , The Minh Luong , Guillem Rigaill , Gregory Nuel

Change Point Detection (CPD) is a critical task in time series analysis, aiming to identify moments when the underlying data-generating process shifts. Traditional CPD methods often rely on unsupervised techniques, which lack adaptability…

Machine Learning · Computer Science 2026-01-29 Stefano Bertolasi , Diego Carrera , Diego Stucchi , Pasqualina Fragneto , Luigi Amedeo Bianchi

We introduce a methodology, labelled Non-Parametric Isolate-Detect (NPID), for the consistent estimation of the number and locations of multiple change-points in a non-parametric setting. The method can handle general distributional changes…

Statistics Theory · Mathematics 2025-05-01 Andreas Anastasiou , Piotr Fryzlewicz

Identifying change points (CPs) in a time series is crucial to guide better decision making across various fields like finance and healthcare and facilitating timely responses to potential risks or opportunities. Existing Change Point…

Machine Learning · Computer Science 2023-06-09 Kopal Garg , Jennifer Yu , Tina Behrouzi , Sana Tonekaboni , Anna Goldenberg

The change-point detection problem seeks to identify distributional changes at an unknown change-point k* in a stream of data. This problem appears in many important practical settings involving personal data, including biosurveillance,…

Statistics Theory · Mathematics 2019-09-10 Rachel Cummings , Sara Krehbiel , Yajun Mei , Rui Tuo , Wanrong Zhang

Change point detection (CPD) and anomaly detection (AD) are essential techniques in various fields to identify abrupt changes or abnormal data instances. However, existing methods are often constrained to univariate data, face scalability…

We address the problem of detecting a change in the distribution of a high-dimensional multivariate normal time series. Assuming that the post-change parameters are unknown and estimated using a window of historical data, we extend the…

Signal Processing · Electrical Eng. & Systems 2025-02-12 Robert Malinas , Dogyoon Song , Benjamin D. Robinson , Alfred O. Hero

We propose a new and generic approach for detecting multiple change-points in dynamic networks with Markov formation, termed random interval distillation (RID). By collecting random intervals with sufficient strength of signals and…

Methodology · Statistics 2024-10-29 Xinyuan Fan , Weichi Wu

Graph-based change point detection (CPD) play an irreplaceable role in discovering anomalous graphs in the time-varying network. While several techniques have been proposed to detect change points by identifying whether there is a…

Social and Information Networks · Computer Science 2022-12-20 Yongshun Gong , Xue Dong , Jian Zhang , Meng Chen

Change Point Detection (CPD) methods identify the times associated with changes in the trends and properties of time series data in order to describe the underlying behaviour of the system. For instance, detecting the changes and anomalies…

Machine Learning · Computer Science 2021-03-08 Shohreh Deldari , Daniel V. Smith , Hao Xue , Flora D. Salim

Change-point detection (CPD) involves identifying distributional changes in a sequence of independent observations. Among nonparametric methods, rank-based methods are attractive due to their robustness and effectiveness and have been…

Methodology · Statistics 2025-11-13 Doudou Zhou , Hao Chen

A new anomaly detection method called kernel outlier detection (KOD) is proposed. It is designed to address challenges of outlier detection in high-dimensional settings. The aim is to overcome limitations of existing methods, such as…

Machine Learning · Computer Science 2025-07-01 Can Hakan Dağıdır , Mia Hubert , Peter J. Rousseeuw

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…

Machine Learning · Statistics 2019-03-25 Pablo Moreno-Muñoz , David Ramírez , Antonio Artés-Rodríguez

The development of the manufacturing systems has made it increasingly necessary to monitor the data generated by multiple interconnected subsystems with rapid incoming of samples. Based on incremental Singular Value Decomposition (ISVD), we…

Systems and Control · Electrical Eng. & Systems 2023-10-23 Xinmiao Luan , Qing Zou , Jian Li , Andi Wang

Continuous learning from an immense volume of data streams becomes exceptionally critical in the internet era. However, data streams often do not conform to the same distribution over time, leading to a phenomenon called concept drift.…

Machine Learning · Computer Science 2024-07-09 Ke Wan , Yi Liang , Susik Yoon

This paper develops a method to detect model structural changes by applying a Corrected Kernel Principal Component Analysis (CKPCA) to construct the so-called central distribution deviation subspaces. This approach can efficiently identify…

Methodology · Statistics 2023-07-18 Luoyao Yu , Lixing Zhu , Ruoqing Zhu , Xuehu Zhu