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Although precision and recall are standard performance measures for anomaly detection, their statistical properties in sequential detection settings are poorly understood. In this work, we formalize a notion of precision and recall with…

Machine Learning · Computer Science 2020-08-14 Erik Scharwächter , Emmanuel Müller

Model change detection is studied, in which there are two sets of samples that are independently and identically distributed (i.i.d.) according to a pre-change probabilistic model with parameter $\theta$, and a post-change model with…

Machine Learning · Statistics 2018-11-21 Yuheng Bu , Jiaxun Lu , Venugopal V. Veeravalli

Joint detection and estimation refers to deciding between two or more hypotheses and, depending on the test outcome, simultaneously estimating the unknown parameters of the underlying distribution. This problem is investigated in a…

Signal Processing · Electrical Eng. & Systems 2019-04-19 Dominik Reinhard , Michael Fauss , Abdelhak M. Zoubir

In this paper, we study the quickest change detection with mismatched post-change models. A change point is the time instant at which the distribution of a random process changes. The objective of quickest change detection is to minimize…

Methodology · Statistics 2016-01-27 Jingxian Wu , Jing Yang

We introduce a powerful scan statistic and the corresponding test for detecting the presence and pinpointing the location of a change point within the distribution of a data sequence with the data elements residing in a separable metric…

Methodology · Statistics 2026-01-27 Paromita Dubey , Minxing Zheng

We revisit the problem of statistical sequence matching initiated by Unnikrishnan (TIT 2015) and derive theoretical performance guarantees for sequential tests that have bounded expected stopping times. Specifically, in this problem, one is…

Information Theory · Computer Science 2025-06-05 Lin Zhou , Qianyun Wang , Yun Wei , Jingjing Wang

This paper considers the change-point problem for finite sequences of networks. To avoid the difficulty of computing the normalization coefficient, such as in Exponential random graphical models (ERGMs) and Markov networks, we construct a…

Statistics Theory · Mathematics 2021-01-19 Lei Qiao , Dong Han

We propose an online detection procedure for cascading failures in the network from sequential data, which can be modeled as multiple correlated change-points happening during a short period. We consider a temporal diffusion network model…

Other Statistics · Statistics 2021-02-09 Rui Zhang , Yao Xie , Rui Yao , Feng Qiu

The in-depth analysis of time series has gained a lot of research interest in recent years, with the identification of periodic patterns being one important aspect. Many of the methods for identifying periodic patterns require time series'…

Machine Learning · Computer Science 2019-11-15 Maximilian Toller , Roman Kern

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

Time series data often contain initial transient periods before reaching a stable state, posing challenges in analysis and interpretation. In this paper, we propose a novel approach to detect and estimate the end of the initial transient in…

Methodology · Statistics 2025-12-01 Leonardo Scandurra , Pavlos Alexias , Eugene de Villiers

We present a general and flexible framework for detecting regime changes in complex, non-stationary data across multi-trial experiments. Traditional change point detection methods focus on identifying abrupt changes within a single time…

Methodology · Statistics 2025-12-08 Anass B. El-Yaagoubi , Jean-Marc Freyermuth , Hernando Ombao

Change-point analysis has been successfully applied to the detect changes in multivariate data streams over time. In many applications, when data are observed over a graph/network, change does not occur simultaneously but instead spread…

Methodology · Statistics 2023-06-21 Hanqing Cai , Tengyao Wang

This work examines the close interplay between cooperation and adaptation for distributed detection schemes over fully decentralized networks. The combined attributes of cooperation and adaptation are necessary to enable networks of…

Information Theory · Computer Science 2016-11-15 Vincenzo Matta , Paolo Braca , Stefano Marano , Ali H. Sayed

Distribution regression refers to the supervised learning problem where labels are only available for groups of inputs instead of individual inputs. In this paper, we develop a rigorous mathematical framework for distribution regression…

Machine Learning · Computer Science 2021-09-30 Maud Lemercier , Cristopher Salvi , Theodoros Damoulas , Edwin V. Bonilla , Terry Lyons

Change point analysis has applications in a wide variety of fields. The general problem concerns the inference of a change in distribution for a set of time-ordered observations. Sequential detection is an online version in which new data…

Methodology · Statistics 2013-10-16 David S. Matteson , Nicholas A. James

Many organisations manage service quality and monitor a large set devices and servers where each entity is associated with telemetry or physical sensor data series. Recently, various methods have been proposed to detect behavioural…

Social and Information Networks · Computer Science 2023-05-10 Len Feremans , Boris Cule , Bart Goethals

The detection of change-points in a spatially or time ordered data sequence is an important problem in many fields such as genetics and finance. We derive the asymptotic distribution of a statistic recently suggested for detecting…

Statistics Theory · Mathematics 2015-10-01 Gérard Biau , Kevin Bleakley , David Mason

We propose a test for a change in the mean for a sequence of functional observations that are only partially observed on subsets of the domain, with no information available on the complement. The framework accommodates important scenarios,…

Methodology · Statistics 2025-10-10 Šárka Hudecová , Claudia Kirch

We consider an estimator for the location of a shift in the mean of long-range dependent sequences. The estimation is based on the two-sample Wilcoxon statistic. Consistency and the rate of convergence for the estimated change point are…

Statistics Theory · Mathematics 2016-12-28 Annika Betken