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相关论文: Multiscale change point detection for dependent da…

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We study online changepoint detection in the context of a linear regression model. We propose a class of heavily weighted statistics based on the CUSUM process of the regression residuals, which are specifically designed to ensure timely…

统计方法学 · 统计学 2024-02-08 Fabrizio Ghezzi , Eduardo Rossi , Lorenzo Trapani

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

机器学习 · 计算机科学 2023-05-23 Mario Krause

Motivated by image-on-scalar regression with data aggregated across multiple sites, we consider a setting in which multiple independent studies each collect multiple dependent vector outcomes, with potential mean model parameter homogeneity…

统计方法学 · 统计学 2022-10-06 Emily C. Hector

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

We propose a novel sampling-based federated learning framework for statistical inference on M-estimators with non-smooth objective functions, which frequently arise in modern statistical applications such as quantile regression and AUC…

统计方法学 · 统计学 2025-05-06 Xiudi Li , Lu Tian , Tianxi Cai

This paper introduces a novel Bayesian approach to detect changes in the variance of a Gaussian sequence model, focusing on quantifying the uncertainty in the change point locations and providing a scalable algorithm for inference. Such a…

统计方法学 · 统计学 2025-03-04 Lorenzo Cappello , Oscar Hernan Madrid Padilla

Very long and noisy sequence data arise from biological sciences to social science including high throughput data in genomics and stock prices in econometrics. Often such data are collected in order to identify and understand shifts in…

统计方法学 · 统计学 2016-07-15 Yue S. Niu , Ning Hao , Heping Zhang

This work delves into presenting a probabilistic method for analyzing linear process data with weakly dependent innovations, focusing on detecting change-points in the mean and estimating its spectral density. We develop a test for…

统计理论 · 数学 2024-10-01 Ramkrishna Jyoti Samanta

This paper proposes approaches for the analysis of multiple changepoint models when dependency in the data is modelled through a hierarchical Gaussian Markov random field. Integrated nested Laplace approximations are used to approximate…

统计计算 · 统计学 2015-03-17 Jason Wyse , Nial Friel , Håvard Rue

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

统计方法学 · 统计学 2016-01-15 Florencia Leonardi , Peter Bühlmann

Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present multiple interacting faults. For…

信息论 · 计算机科学 2015-03-17 Ram Rajagopal , XuanLong Nguyen , Sinem Coleri Ergen , Pravin Varaiya

Time-dependent data often exhibit characteristics, such as non-stationarity and heavy-tailed errors, that would be inappropriate to model with the typical assumptions used in popular models. Thus, more flexible approaches are required to be…

机器学习 · 统计学 2023-11-02 Taole Sha , Michael Minyi Zhang

We consider the consistency properties of a regularised estimator for the simultaneous identification of both changepoints and graphical dependency structure in multivariate time-series. Traditionally, estimation of Gaussian Graphical…

统计理论 · 数学 2017-12-18 Alex J. Gibberd , Sandipan Roy

We consider the problem of constructing confidence intervals for the locations of change points in a high-dimensional mean shift model. To that end, we develop a locally refitted least squares estimator and obtain component-wise and…

统计方法学 · 统计学 2021-07-21 Abhishek Kaul , George Michailidis

We propose a new, computationally efficient, sparsity adaptive changepoint estimator for detecting changes in unknown subsets of a high-dimensional data sequence. Assuming the data sequence is Gaussian, we prove that the new method…

统计方法学 · 统计学 2023-11-27 Per August Jarval Moen , Ingrid Kristine Glad , Martin Tveten

As contemporary software-intensive systems reach increasingly large scale, it is imperative that failure detection schemes be developed to help prevent costly system downtimes. A promising direction towards the construction of such schemes…

应用统计 · 统计学 2016-09-27 Alexey Artemov , Evgeny Burnaev

The widespread use of machine learning algorithms calls for automatic change detection algorithms to monitor their behavior over time. As a machine learning algorithm learns from a continuous, possibly evolving, stream of data, it is…

机器学习 · 统计学 2021-06-29 Lang Liu , Joseph Salmon , Zaid Harchaoui

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the prop- erties are (approximately) constant for some time and then slowly…

统计方法学 · 统计学 2014-03-18 Michael Vogt , Holger Dette

A novel approach to quantile estimation in multivariate linear regression models with change-points is proposed: the change-point detection and the model estimation are both performed automatically, by adopting either the quantile fused…

统计理论 · 数学 2019-04-10 Gabriela Ciuperca , Matus Maciak

In a wide range of applications, the stochastic properties of the observed time series change over time. The changes often occur gradually rather than abruptly: the properties are (approximately) constant for some time and then slowly start…

统计方法学 · 统计学 2015-04-03 Michael Vogt , Holger Dette