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Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

Methodology · Statistics 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

A number of real world problems in many domains (e.g. sociology, biology, political science and communication networks) can be modeled as dynamic networks with nodes representing entities of interest and edges representing interactions…

Social and Information Networks · Computer Science 2017-06-06 Yu Wang , Aniket Chakrabarti , David Sivakoff , Srinivasan Parthasarathy

We consider how local and global decision policies interact in stopping time problems such as quickest time change detection. Individual agents make myopic local decisions via social learning, that is, each agent records a private…

Computer Science and Game Theory · Computer Science 2012-03-05 Vikram Krishnamurthy

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…

Information Theory · Computer Science 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

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…

Statistics Theory · Mathematics 2025-02-04 Sanjit Dandapanthula , Aaditya Ramdas

This paper considers the quickest search problem to identify anomalies among large numbers of data streams. These streams can model, for example, disjoint regions monitored by a mobile robot. A particular challenge is a version of the…

Optimization and Control · Mathematics 2023-03-20 Matthew Ubl , Benjamin D. Robinson , Matthew T. Hale

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

A search engine maintains local copies of different web pages to provide quick search results. This local cache is kept up-to-date by a web crawler that frequently visits these different pages to track changes in them. Ideally, the local…

Information Retrieval · Computer Science 2021-11-08 Konstantin Avrachenkov , Kishor Patil , Gugan Thoppe

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

Machine Learning · Statistics 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

In recent years there has been a growing interest in developing "streaming algorithms" for efficient processing and querying of continuous data streams. These algorithms seek to provide accurate results while minimizing the required storage…

Data Structures and Algorithms · Computer Science 2016-06-06 Reuven Cohen , Liran Katzir , Aviv Yehezkel

The problem of quickest change detection (QCD) in anonymous heterogeneous sensor networks is studied. There are $n$ heterogeneous sensors and a fusion center. The sensors are clustered into $K$ groups, and different groups follow different…

Signal Processing · Electrical Eng. & Systems 2022-03-23 Zhongchang Sun , Shaofeng Zou , Ruizhi Zhang , Qunwei Li

Network structure evolves with time in the real world, and the discovery of changing communities in dynamic networks is an important research topic that poses challenging tasks. Most existing methods assume that no significant change in the…

Neural and Evolutionary Computing · Computer Science 2022-11-29 Huixin Ma , Kai Wu , Handing Wang , Jing Liu

Anomaly detection when observing a large number of data streams is essential in a variety of applications, ranging from epidemiological studies to monitoring of complex systems. High-dimensional scenarios are usually tackled with…

Methodology · Statistics 2025-12-18 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro , Edwin van den Heuvel

We study the problem of change point localization in dynamic networks models. We assume that we observe a sequence of independent adjacency matrices of the same size, each corresponding to a realization of an unknown inhomogeneous Bernoulli…

Methodology · Statistics 2020-10-22 Daren Wang , Yi Yu , Alessandro Rinaldo

A finite-horizon variant of the quickest change detection (QCD) problem that is of relevance to learning in non-stationary environments is studied. The metric characterizing false alarms is the probability of a false alarm occurring before…

Information Theory · Computer Science 2025-11-18 Yu-Han Huang , Venugopal V. Veeravalli

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

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

Applications · Statistics 2017-12-22 Giacomo Aletti , Alessandra Micheletti

This study addresses the issue of balancing graph summarization and graph change detection. Graph summarization compresses large-scale graphs into a smaller scale. However, the question remains: To what extent should the original graph be…

Machine Learning · Statistics 2023-12-13 Shintaro Fukushima , Kenji Yamanishi

Structural changes occur in dynamic networks quite frequently and its detection is an important question in many situations such as fraud detection or cybersecurity. Real-life networks are often incompletely observed due to individual…

Statistics Theory · Mathematics 2025-03-14 Farida Enikeeva , Olga Klopp