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In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

Probability · Mathematics 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

In this paper, we study the problem of estimation and learning under temporal distribution shift. Consider an observation sequence of length $n$, which is a noisy realization of a time-varying groundtruth sequence. Our focus is to develop…

Machine Learning · Computer Science 2025-05-22 Dheeraj Baby , Yifei Tang , Hieu Duy Nguyen , Yu-Xiang Wang , Rohit Pyati

We consider the preferential attachment model. This is a growing random graph such that at each step a new vertex is added and forms $m$ connections. The neighbors of the new vertex are chosen at random with probability proportional to…

Probability · Mathematics 2024-04-11 Simone Baldassarri , Gianmarco Bet

Identifying power-law scaling in real networks - indicative of preferential attachment - has proved controversial. Critics argue that measuring the temporal evolution of a network directly is better than measuring the degree distribution…

Existing drift detection methods focus on designing sensitive test statistics. They treat the detection threshold as a fixed hyperparameter, set once to balance false alarms and late detections, and applied uniformly across all datasets and…

Machine Learning · Computer Science 2025-11-14 Pengqian Lu , Jie Lu , Anjin Liu , En Yu , Guangquan Zhang

In the 1-dimensional multiple changepoint detection problem, we prove that any procedure with a fast enough $\ell_2$ error rate, in terms of its estimation of the underlying piecewise constant mean vector, automatically has an (approximate)…

Methodology · Statistics 2016-12-06 Kevin Lin , James Sharpnack , Alessandro Rinaldo , Ryan J. Tibshirani

The change point is a moment of an abrupt alteration in the data distribution. Current methods for change point detection are based on recurrent neural methods suitable for sequential data. However, recent works show that transformers based…

Machine Learning · Computer Science 2022-04-19 Anna Dmitrienko , Evgenia Romanenkova , Alexey Zaytsev

The goal of the paper is to develop a specific application of the convex optimization based hypothesis testing techniques developed in A. Juditsky, A. Nemirovski, "Hypothesis testing via affine detectors," Electronic Journal of Statistics…

Statistics Theory · Mathematics 2018-01-09 Yang Cao , Vincent Guigues , Anatoli Juditsky , Arkadi Nemirovski , Yao Xie

This chapter overviews some of the work on detecting and estimating the location of a single change. We first consider the most common change-point problem, namely that of detecting a change in mean, before looking at extensions to…

Methodology · Statistics 2022-10-14 Paul Fearnhead , Piotr Fryzlewicz

We study the multivariate nonparametric change point detection problem, where the data are a sequence of independent $p$-dimensional random vectors whose distributions are piecewise-constant with Lipschitz densities changing at unknown…

Statistics Theory · Mathematics 2020-06-26 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

In principle, higher-order networks that have multiple edge types are more informative than their lower-order counterparts. In practice, however, excessively rich information may be algorithmically infeasible to extract. It requires an…

Social and Information Networks · Computer Science 2017-10-25 Tatsuro Kawamoto

We consider detecting change points in the correlation structure of streaming data with minimum assumptions posed on the underlying data distribution. Detection statistics are constructed for dense and sparse change settings, based on…

Methodology · Statistics 2026-02-17 Jie Gao , Liyan Xie , Zhaoyuan Li

In highly distributed Internet measurement systems distributed agents periodically measure the Internet using a tool called {\tt traceroute}, which discovers a path in the network graph. Each agent performs many traceroute measurement to a…

Networking and Internet Architecture · Computer Science 2008-07-22 Mira Gonen , Yuval Shavitt

We consider a well defined joint detection and parameter estimation problem. By combining the Baysian formulation of the estimation subproblem with suitable constraints on the detection subproblem we develop optimum one- and two-step test…

Applications · Statistics 2011-01-27 George V. Moustakides , Guido H. Jajamovich , Ali Tajer , Xiaodong Wang

We propose an algorithm for nonparametric online change point detection based on sequential score function estimation and the tracking the best expert approach. The core of the procedure is a version of the fixed share forecaster tailored…

Machine Learning · Computer Science 2026-02-18 Anna Markovich , Nikita Puchkin

Recent attention in quickest change detection in the multi-sensor setting has been on the case where the densities of the observations change at the same instant at all the sensors due to the disruption. In this work, a more general…

Information Theory · Computer Science 2016-11-18 Vasanthan Raghavan , Venugopal V. Veeravalli

We develop a mixture procedure to monitor parallel streams of data for a change-point that affects only a subset of them, without assuming a spatial structure relating the data streams to one another. Observations are assumed initially to…

Statistics Theory · Mathematics 2013-05-10 Yao Xie , David Siegmund

We consider the fundamental problem of matching a template to a signal. We do so by M-estimation, which encompasses procedures that are robust to gross errors (i.e., outliers). Using standard results from empirical process theory, we derive…

Statistics Theory · Mathematics 2020-09-10 Ery Arias-Castro , Lin Zheng

Sequential change point detection for multivariate autocorrelated data is a very common problem in practice. However, when the sensing resources are limited, only a subset of variables from the multivariate system can be observed at each…

Machine Learning · Statistics 2024-04-02 Haijie Xu , Xiaochen Xian , Chen Zhang , Kaibo Liu