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Change-points in time series data are usually defined as the time instants at which changes in their properties occur. Detecting change-points is critical in a number of applications as diverse as detecting credit card and insurance frauds,…

Signal Processing · Electrical Eng. & Systems 2021-09-10 André Ferrari , Cédric Richard , Anthony Bourrier , Ikram Bouchikhi

This paper considers the detection of change points in parallel data streams, a problem widely encountered when analyzing large-scale real-time streaming data. Each stream may have its own change point, at which its data has a…

Methodology · Statistics 2023-01-18 Zexian Lu , Yunxiao Chen , Xiaoou Li

Change-point detection has been a classical problem in statistics and econometrics. This work focuses on the problem of detecting abrupt distributional changes in the data-generating distribution of a sequence of high-dimensional…

Methodology · Statistics 2021-05-20 Shubhadeep Chakraborty , Xianyang Zhang

This paper introduces a concept for change-point detection based on normalized entropy as a fundamental metric, aiming to overcome the dependence of traditional entropy methods on assumptions about data distribution and absolute scales.…

Applications · Statistics 2025-11-18 Qingqing Song , Shaoliang Xia

In the sequential change-point detection literature, most research specifies a required frequency of false alarms at a given pre-change distribution $f_{\theta}$ and tries to minimize the detection delay for every possible post-change…

Statistics Theory · Mathematics 2007-06-13 Yajun Mei

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

Methodology · Statistics 2021-03-05 Lizhen Nie , Dan L. Nicolae

Many methods have been proposed for community detection in networks, but most of them do not take into account additional information on the nodes that is often available in practice. In this paper, we propose a new joint community…

Machine Learning · Statistics 2016-12-13 Yuan Zhang , Elizaveta Levina , Ji Zhu

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…

Statistics Theory · Mathematics 2023-06-02 Jingyan Huang

A network provides powerful means of representing complex relationships between entities by abstracting entities as vertices, and relationships as edges connecting vertices in a graph. Beyond the presence or absence of relationships, a…

Social and Information Networks · Computer Science 2020-01-15 Isuru Udayangani Hewapathirana

When recording the movement of individual animals, cells or molecules one will often observe changes in their diffusive behaviour at certain points in time along their trajectory. In order to capture the different diffusive modes assembled…

Statistical Mechanics · Physics 2024-10-21 Henrik Seckler , Ralf Metzler

We suggest a novel procedure for online change point detection. Our approach expands an idea of maximizing a discrepancy measure between points from pre-change and post-change distributions. This leads to flexible algorithms suitable for…

Machine Learning · Statistics 2026-03-24 Nikita Puchkin , Artur Goldman , Konstantin Yakovlev , Valeriia Dzis , Uliana Vinogradova

Dynamic Networks are a popular way of modeling and studying the behavior of evolving systems. However, their analysis constitutes a relatively recent subfield of Network Science, and the number of available tools is consequently much…

Social and Information Networks · Computer Science 2017-05-08 Günce Keziban Orman , Vincent Labatut , Ahmet Teoman Naskali

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…

Methodology · Statistics 2021-06-23 Michael Messer

Anomaly detection is a relevant problem in the area of data analysis. In networked systems, where individual entities interact in pairs, anomalies are observed when pattern of interactions deviates from patterns considered regular. Properly…

Social and Information Networks · Computer Science 2023-10-25 Hadiseh Safdari , Caterina De Bacco

The problem of quickest growing dynamic anomaly detection in sensor networks is studied. Initially, the observations at the sensors, which are sampled sequentially by the decision maker, are generated according to a pre-change distribution.…

Statistics Theory · Mathematics 2020-02-04 Georgios Rovatsos , Venugopal V. Veeravalli , Don Towsley , Ananthram Swami

Community detection is one of the fundamental problems in the study of network data. Most existing community detection approaches only consider edge information as inputs, and the output could be suboptimal when nodal information is…

Methodology · Statistics 2016-12-13 Haolei Weng , Yang Feng

We consider the challenge of efficiently detecting changes within a network of sensors, where we also need to minimise communication between sensors and the cloud. We propose an online, communication-efficient method to detect such changes.…

Methodology · Statistics 2024-04-11 Ziyang Yang , Idris A. Eckley , Paul Fearnhead

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

Statistics Theory · Mathematics 2024-08-08 Alessandro Casini , Pierre Perron

Anomaly subsequence detection is to detect inconsistent data, which always contains important information, among time series. Due to the high dimensionality of the time series, traditional anomaly detection often requires a large time…

Machine Learning · Computer Science 2019-07-02 Chunkai Zhang , Yingyang Chen , Ao Yin

In this work we introduce a novel adaptive anomaly detection framework specifically designed for monitoring sequential random finite set (RFS) observations. Our approach effectively distinguishes between In-Control data (normal) and…

Machine Learning · Computer Science 2025-11-25 Konstantinos Bourazas , Savvas Papaioannou , Panayiotis Kolios