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In this paper, we consider the estimation of a change-point for possibly high-dimensional data in a Gaussian model, using a k-means method. We prove that, up to a logarithmic term, this change-point estimator has a minimax rate of…

Statistics Theory · Mathematics 2018-02-22 Aurélie Fischer , Dominique Picard

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

Methodology · Statistics 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

In a private database query scheme (PDQ), a server maintains a database, and users send queries to retrieve records of interest from the server while keeping their queries private. A crucial step in PDQ protocols based on homomorphic…

Cryptography and Security · Computer Science 2024-09-02 Jung Hee Cheon , Keewoo Lee , Jai Hyun Park , Yongdong Yeo

Data objects taking value in a general metric space have become increasingly common in modern data analysis. In this paper, we study two important statistical inference problems, namely, two-sample testing and change-point detection, for…

Methodology · Statistics 2023-07-11 Feiyu Jiang , Changbo Zhu , Xiaofeng Shao

We propose a framework for online Change Point Detection (CPD) from multi-entity, multivariate time series data, motivated by applications in crowd monitoring where traditional sensing methods (e.g., video surveillance) may be infeasible.…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Bahar Kor , Bipin Gaikwad , Abani Patra , Eric L. Miller

Detecting abrupt changes in data distribution is one of the most significant tasks in streaming data analysis. Although many unsupervised Change-Point Detection (CPD) methods have been proposed recently to identify those changes, they still…

Machine Learning · Computer Science 2024-04-26 Yang Cao , Ye Zhu , Kai Ming Ting , Flora D. Salim , Hong Xian Li , Luxing Yang , Gang Li

We consider the problem of sequential graph topology change-point detection from graph signals. We assume that signals on the nodes of the graph are regularized by the underlying graph structure via a graph filtering model, which we then…

Machine Learning · Statistics 2020-10-23 Chiraag Kaushik , T. Mitchell Roddenberry , Santiago Segarra

The gold-standard for security in quantum cryptographic protocols is information-theoretic security. Information-theoretic security is surely future-proof, because it makes no assumptions on the hardness of any computational problems and…

Quantum Physics · Physics 2025-06-06 Yingkai Ouyang , Peter P. Rohde

This paper proposes a novel approach for detecting the topology of distribution networks based on the analysis of time series measurements. The time-based analysis approach draws on data from high-precision phasor measurement units (PMUs or…

Systems and Control · Computer Science 2015-04-23 Guido Cavraro , Reza Arghandeh , Alexandra von Meier

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

Statistics Theory · Mathematics 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

This paper develops a novel change point identification method for high-dimensional data using random projections. By projecting high-dimensional time series into a one-dimensional space, we are able to leverage the rich literature for…

Methodology · Statistics 2026-03-04 Yi Xu , Yeonwoo Rho

Liquid Chromatography coupled to Mass Spectrometry (LC-MS) based methods are commonly used for high-throughput, quantitative measurements of the proteome (i.e. the set of all proteins in a sample at a given time). Targeted LC-MS produces…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Leon L. Xu , Hannes L. Röst

This paper tackles the problem of detecting abrupt changes in the mean of a heteroscedastic signal by model selection, without knowledge on the variations of the noise. A new family of change-point detection procedures is proposed, showing…

Methodology · Statistics 2011-02-01 Sylvain Arlot , Alain Celisse

From a sequence of similarity networks, with edges representing certain similarity measures between nodes, we are interested in detecting a change-point which changes the statistical property of the networks. After the change, a subset of…

Statistics Theory · Mathematics 2016-12-06 Shanshan Cao , Yao Xie

Change point analysis is a statistical tool to identify homogeneity within time series data. We propose a pruning approach for approximate nonparametric estimation of multiple change points. This general purpose change point detection…

Methodology · Statistics 2017-09-20 Wenyu Zhang , Nicholas James , David Matteson

IoT devices have become indispensable components of our lives, and the advancement of AI technologies will make them even more pervasive, increasing the vulnerability to malfunctions or cyberattacks and raising privacy concerns. Encryption…

Cryptography and Security · Computer Science 2026-04-15 Anca Hangan , Dragos Lazea , Tudor Cioara

How can we detect traffic disturbances from international flight transportation logs or changes to collaboration dynamics in academic networks? These problems can be formulated as detecting anomalous change points in a dynamic graph.…

Machine Learning · Computer Science 2023-05-16 Shenyang Huang , Jacob Danovitch , Guillaume Rabusseau , Reihaneh Rabbany

Face recognition is a widely-used technique for identification or verification, where a verifier checks whether a face image matches anyone stored in a database. However, in scenarios where the database is held by a third party, such as a…

Cryptography and Security · Computer Science 2023-07-25 Jianli Bai , Xiaowu Zhang , Xiangfu Song , Hang Shao , Qifan Wang , Shujie Cui , Giovanni Russello

We propose a method to infer the presence and location of change-points in the distribution of a sequence of independent data taking values in a general metric space, where change-points are viewed as locations at which the distribution of…

Methodology · Statistics 2020-01-15 Paromita Dubey , Hans-Georg Müller

Robust change-point detection for large-scale data streams has many real-world applications in industrial quality control, signal detection, biosurveillance. Unfortunately, it is highly non-trivial to develop efficient schemes due to three…

Methodology · Statistics 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi