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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…

Statistics Theory · Mathematics 2018-06-29 Liyan Xie , George V. Moustakides , Yao Xie

Differential privacy is a rigorous definition for privacy that guarantees that any analysis performed on a sensitive dataset leaks no information about the individuals whose data are contained therein. In this work, we develop new…

Cryptography and Security · Computer Science 2021-11-18 Vassilis Digalakis , George N. Karystinos , Minos N. Garofalakis

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…

Machine Learning · Statistics 2025-01-23 Wenbin Zhou , Liyan Xie , Zhigang Peng , Shixiang Zhu

The problem of quickest change detection is studied in the context of detecting an arbitrary unknown mean-shift in multiple independent Gaussian data streams. The James-Stein estimator is used in constructing detection schemes that exhibit…

Statistics Theory · Mathematics 2026-04-21 Topi Halme , Venugopal V. Veeravalli , Visa Koivunen

We present a new CUSUM procedure for sequentially detecting change-point in the self and mutual exciting processes, a.k.a. Hawkes networks using discrete events data. Hawkes networks have become a popular model for statistics and machine…

Machine Learning · Statistics 2022-03-08 Haoyun Wang , Liyan Xie , Yao Xie , Alex Cuozzo , Simon Mak

We present new auditors to assess Differential Privacy (DP) of an algorithm based on output samples. Such empirical auditors are common to check for algorithmic correctness and implementation bugs. Most existing auditors are batch-based or…

Cryptography and Security · Computer Science 2026-02-09 Tim Kutta , Martin Dunsche , Yu Wei , Vassilis Zikas

The problem of decentralized sequential change detection is considered, where an abrupt change occurs in an area monitored by a number of sensors; the sensors transmit their data to a fusion center, subject to bandwidth and energy…

Statistics Theory · Mathematics 2013-11-12 Georgios Fellouris , George V. Moustakides

Data streams collected from multiple sources are rarely independent. Values evolve over time and influence one another across sequences. These correlations improve prediction in healthcare, finance, and smart-city control yet violate the…

Cryptography and Security · Computer Science 2025-11-25 Yifan Luo , Meng Zhang , Jin Xu , Junting Chen , Jianwei Huang

The problem of sequential change diagnosis is considered, where a sequence of independent random elements is accessed sequentially, there is an abrupt change in its distribution at some unknown time, and there are two main operational…

Statistics Theory · Mathematics 2023-10-03 Austin Warner , Georgios Fellouris

In this work, we aim to provide a new and efficient recursive detection method for temporarily monitored signals. Motivated by the case of the propagation of an event over a field of sensors, we assumed that the change in the statistical…

Applications · Statistics 2022-03-17 V. Watson , F. Septier , P. Armand , C. Duchenne

Streaming data, crucial for applications like crowdsourcing analytics, behavior studies, and real-time monitoring, faces significant privacy risks due to the large and diverse data linked to individuals. In particular, recent efforts to…

Cryptography and Security · Computer Science 2024-07-23 Shuya Feng , Meisam Mohammady , Han Wang , Xiaochen Li , Zhan Qin , Yuan Hong

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

Statistics Theory · Mathematics 2023-06-05 Haoyun Wang , Yao Xie

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

Statistics Theory · Mathematics 2016-05-03 Gabriela Ciuperca

Privacy-preserving estimation of counts of items in streaming data finds applications in several real-world scenarios including word auto-correction and traffic management applications. Recent works of RAPPOR and Apple's count-mean sketch…

Data Structures and Algorithms · Computer Science 2022-12-01 Dinusha Vatsalan , Raghav Bhaskar , Mohamed Ali Kaafar

We consider the online monitoring of multivariate streaming data for changes that are characterized by an unknown subspace structure manifested in the covariance matrix. In particular, we consider the covariance structure changes from an…

Statistics Theory · Mathematics 2021-04-12 Liyan Xie , Yao Xie , 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…

Quantum Physics · Physics 2023-10-23 Marco Fanizza , Christoph Hirche , John Calsamiglia

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

This paper considers the problem of sequentially detecting a change in the joint distribution of multiple data sources under a sampling constraint. Specifically, the channels or sources generate observations that are independent over time,…

Methodology · Statistics 2024-03-26 Anamitra Chaudhuri , Georgios Fellouris , Ali Tajer

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

Methodology · Statistics 2024-12-16 Yuhan Tian , Abolfazl Safikhani