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Change-point detection methods are proposed for the case of temporary failures, or transient changes, when an unexpected disorder is ultimately followed by a readjustment and return to the initial state. A base distribution of the…

统计理论 · 数学 2021-12-14 Baron Michael , Malov Sergey

A new approach to detect change points based on differential smoothing and multiple testing is presented for long data sequences modeled as piecewise constant functions plus stationary ergodic Gaussian noise. As an application of the STEM…

统计理论 · 数学 2019-11-20 Dan Cheng , Zhibing He , Armin Schwartzman

Simultaneously monitoring changes in both the mean and variance is a fundamental problem in Statistical Process Control, and numerous methods have been developed to address it. However, many existing approaches face notable limitations:…

统计方法学 · 统计学 2025-09-03 Gokul Parakulum , Jun Li

Finite mixtures of regression models provide a flexible modeling framework for many phenomena. Using moment-based estimation of the regression parameters, we develop unbiased estimators with a minimum of assumptions on the mixture…

统计理论 · 数学 2019-05-17 Claus Thorn Ekstrøm , Christian Bressen Pipper

Change point detection in covariance structures is a fundamental and crucial problem for sequential data. Under the high-dimensional setting, most of the existing research has focused on identifying change points in historical data.…

统计理论 · 数学 2026-02-02 Zhigang Bao , Kha Man Cheong , Yuji Li , Jiaxin Qiu

A simultaneous change-point detection and estimation in a piece-wise constant model is a common task in modern statistics. If, in addition, the whole estimation can be performed automatically, in just one single step without going through…

统计理论 · 数学 2019-01-16 Gabriela Ciuperca , Matúš Maciak

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

统计方法学 · 统计学 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

Feature screening for ultrahigh-dimension, in general, proceeds with two essential steps. The first step is measuring and ranking the marginal dependence between response and covariates, and the second is determining the threshold. We…

统计方法学 · 统计学 2022-07-28 Linsui Deng , Yilin Zhang

We study the maximum mean discrepancy (MMD) in the context of critical transitions modelled by fast-slow stochastic dynamical systems. We establish a new link between the dynamical theory of critical transitions with the statistical aspects…

斑图形成与孤子 · 物理学 2019-01-30 Boumediene Hamzi , Christian Kuehn , Sameh Mohamed

Existing monitoring tools for multivariate data are often asymptotically distribution-free, computationally intensive, or require a large stretch of stable data. Many of these methods are not applicable to 'high dimension, low sample size'…

统计方法学 · 统计学 2023-05-12 Niladri Chakraborty , Chun Fai Lui , Ahmed Maged

Quickest change point detection is concerned with the detection of statistical change(s) in sequences while minimizing the detection delay subject to false alarm constraints. In this paper, the problem of change point detection is studied…

信息论 · 计算机科学 2015-06-19 George Atia

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

机器学习 · 计算机科学 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang

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…

统计方法学 · 统计学 2021-10-18 Ruizhi Zhang , Yajun Mei , Jianjun Shi

Non-stationary environments are challenging for reinforcement learning algorithms. If the state transition and/or reward functions change based on latent factors, the agent is effectively tasked with optimizing a behavior that maximizes…

机器学习 · 计算机科学 2021-05-21 Lucas N. Alegre , Ana L. C. Bazzan , Bruno C. da Silva

Covariate shifts are a common problem in predictive modeling on real-world problems. This paper proposes addressing the covariate shift problem by minimizing Maximum Mean Discrepancy (MMD) statistics between the training and test sets in…

机器学习 · 计算机科学 2022-03-03 Liwen Ouyang , Aaron Key

Motivated by Industry 4.0 applications, we consider quickest change detection (QCD) of an abrupt change in a process when its measurements are transmitted by a sensor over a lossy wireless link to a decision maker (DM). The sensor node…

信号处理 · 电气工程与系统科学 2025-10-30 Krishna Chaythanya KV , Saqib Abbas Baba , Anurag Kumar , Arpan Chattopadhyay , Rajesh Sundaresan

We consider the problem of locating a jump discontinuity (change-point) in a smooth parametric regression model with a bounded covariate. It is assumed that one can sample the covariate at different values and measure the corresponding…

统计理论 · 数学 2009-08-14 Yan Lan , Moulinath Banerjee , George Michailidis

The paper is about detecting changes in the parameters of certain parameterized stochastic models. We apply CUSUM (Cumulated Sums) type test statistics that are based on martingale difference sequences.

统计理论 · 数学 2014-07-22 Fanni Nedényi

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

统计理论 · 数学 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

Change-point models are widely used by statisticians to model drastic changes in the pattern of observed data. Least squares/maximum likelihood based estimation of change-points leads to curious asymptotic phenomena. When the change-point…

统计理论 · 数学 2015-10-20 Rui Song , Moulinath Banerjee , Michael R. Kosorok