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This paper considers the detection of change points in parallel data streams, a problem widely encountered when analyzing large-scale real-time streaming data. Each stream may have its own change point, at which its data has a…

统计方法学 · 统计学 2023-01-18 Zexian Lu , Yunxiao Chen , Xiaoou Li

Among the main goals in multiple change point problems are the estimation of the number and positions of the change points, as well as the regime structure in the clusters induced by those changes. The product partition model (PPM) is a…

统计方法学 · 统计学 2021-08-11 Ricardo C. Pedroso , Rosangela H. Loschi , Fernando Andrés Quintana

Many real-world systems modeled using partial differential equations (PDEs) involve unknown parameters that must be estimated from limited, noisy system observations. While typically assumed to be constants, some of these unobserved…

统计方法学 · 统计学 2025-08-19 Andrea Arnold

Time series are difficult to monitor, summarize and predict. Segmentation organizes time series into few intervals having uniform characteristics (flatness, linearity, modality, monotonicity and so on). For scalability, we require fast…

数据库 · 计算机科学 2007-05-23 Daniel Lemire

We study parametric change-point detection, where the goal is to identify distributional changes in time series, under local differential privacy. In the non-private setting, we derive improved finite-sample accuracy guarantees for a…

机器学习 · 统计学 2026-02-17 Anuj Kumar Yadav , Cemre Cadir , Yanina Shkel , Michael Gastpar

We address the problem of data-driven pattern identification and outlier detection in time series. To this end, we use singular value decomposition (SVD) which is a well-known technique to compute a low-rank approximation for an arbitrary…

统计方法学 · 统计学 2019-03-12 Abdolrahman Khoshrou , Eric J. Pauwels

Analysing stationary point databases to extract phenomenological rate constants can become time-consuming for systems with large potential energy barriers. In the present contribution we analyse several different approaches to this problem.…

软凝聚态物质 · 物理学 2009-11-11 Semen A. Trygubenko , David J. Wales

Changepoint detection identifies times when the generative process of a time series changes, with applications in healthcare, cybersecurity, and finance. In multivariate settings, changes in cross-variable and temporal dependence are…

统计方法学 · 统计学 2026-05-11 Victor K. Khamesi , Edward A. K. Cohen , Niall M. Adams , Dean A. Bodenham

In this work, we propose explicit state-space based fault detection, isolation and estimation filters that are data-driven and are directly identified and constructed from only the system input-output (I/O) measurements and through…

系统与控制 · 计算机科学 2016-10-20 Esmaeil Naderi , Khashayar Khorasani

In this paper we propose a new approach for sequential monitoring of a parameter of a $d$-dimensional time series, which can be estimated by approximately linear functionals of the empirical distribution function. We consider a…

统计理论 · 数学 2018-11-26 Holger Dette , Josua Gösmann

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

统计方法学 · 统计学 2024-07-16 Xinyu Zhang , Kung-Sik Chan

For sequential data, a change point is a moment of abrupt regime switch in data streams. Such changes appear in different scenarios, including simpler data from sensors and more challenging video surveillance data. We need to detect…

机器学习 · 计算机科学 2025-09-03 Evgenia Romanenkova , Alexander Stepikin , Matvey Morozov , Alexey Zaytsev

We introduce a methodology, labelled Non-Parametric Isolate-Detect (NPID), for the consistent estimation of the number and locations of multiple change-points in a non-parametric setting. The method can handle general distributional changes…

统计理论 · 数学 2025-05-01 Andreas Anastasiou , Piotr Fryzlewicz

In modern multiple hypothesis testing, the availability of covariate information alongside the primary test statistics has motivated the development of more powerful and adaptive inference methods. However, most existing approaches rely on…

统计方法学 · 统计学 2025-11-20 Taehyoung Kim , Seohwa Hwang , Junyong Park

Change-point analysis is thriving in this big data era to address problems arising in many fields where massive data sequences are collected to study complicated phenomena over time. It plays an important role in processing these data by…

统计方法学 · 统计学 2022-03-23 Yi-Wei Liu , Hao Chen

This paper introduces the novel piecewise stationary covariate-assisted ranking estimation (PS-CARE) model for analyzing time-evolving pairwise comparison data, enhancing item ranking accuracy through the integration of covariate…

应用统计 · 统计学 2024-08-27 Yi Han , Thomas C. M. Lee

The PC algorithm allows investigators to estimate a complete partially directed acyclic graph (CPDAG) from a finite dataset, but few groups have investigated strategies for estimating and controlling the false discovery rate (FDR) of the…

机器学习 · 统计学 2017-05-11 Eric V. Strobl , Peter L. Spirtes , Shyam Visweswaran

We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally optimal piecewise linear (PWL) fitting problem. Our main contribution is a family of strengthened MIP…

最优化与控制 · 数学 2026-02-13 Apoorva Narula , Santanu S. Dey , Yao Xie

Data segmentation a.k.a. multiple change point analysis has received considerable attention due to its importance in time series analysis and signal processing, with applications in a variety of fields including natural and social sciences,…

统计方法学 · 统计学 2021-07-09 Haeran Cho , Claudia Kirch

The detection of anomalies or transitions in complex dynamical systems is of critical importance to various applications. In this study, we propose the use of machine learning to detect changepoints for high-dimensional dynamical systems.…

动力系统 · 数学 2023-05-18 Sen Lin , Gianmarco Mengaldo , Romit Maulik
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