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As advances in technology allow for the collection, storage, and analysis of vast amounts of data, the task of screening and assessing the significance of discovered patterns is becoming a major challenge in data mining applications. In…

数据库 · 计算机科学 2010-02-08 Adam Kirsch , Michael Mitzenmacher , Andrea Pietracaprina , Geppino Pucci , Eli Upfal , Fabio Vandin

Many machine learning algorithms rely on iterative updates of uncertainty representations, ranging from variational inference and expectation-maximization, to reinforcement learning, continual learning, and multi-agent learning. In the…

机器学习 · 计算机科学 2026-02-05 Michele Caprio , Siu Lun Chau , Krikamol Muandet

While previous distribution shift detection approaches can identify if a shift has occurred, these approaches cannot localize which specific features have caused a distribution shift -- a critical step in diagnosing or fixing any underlying…

机器学习 · 计算机科学 2021-07-16 Sean Kulinski , Saurabh Bagchi , David I. Inouye

We consider the problem of online learning in the presence of distribution shifts that occur at an unknown rate and of unknown intensity. We derive a new Bayesian online inference approach to simultaneously infer these distribution shifts…

机器学习 · 统计学 2021-10-28 Aodong Li , Alex Boyd , Padhraic Smyth , Stephan Mandt

Most climate trend studies analyze long-term trends as a proxy for climate dynamics. However, when examining seasonal data, it is unrealistic to assume that long-term trends remain consistent across all seasons. Instead, each season likely…

应用统计 · 统计学 2025-12-04 Jaechoul Lee , Mintaek Lee , Thea Sukianto

It is commonly required to detect change points in sequences of random variables. In the most difficult setting of this problem, change detection must be performed sequentially with new observations being constantly received over time.…

统计方法学 · 统计学 2015-05-08 Gordon J Ross

Changes in the statistical properties of a stochastic process are typically assumed to occur via change-points, which demark instantaneous moments of complete and total change in process behavior. In cases where these transitions occur…

机器学习 · 统计学 2022-05-06 Chris Browne

We propose the first comprehensive treatment of high-dimensional time series factor models with multiple change-points in their second-order structure. We operate under the most flexible definition of piecewise stationarity, and estimate…

统计方法学 · 统计学 2019-01-31 Matteo Barigozzi , Haeran Cho , Piotr Fryzlewicz

In river flow analysis and forecasting there are some key elements to consider in order to obtain reliable results. For example, seasonality is often accounted for in statistical models because climatic oscillations occurring every year…

应用统计 · 统计学 2019-06-19 Domenico Cucina , Manuel Rizzo , Eugen Ursu

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

统计方法学 · 统计学 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

We propose the first Bayesian methods for detecting change points in high-dimensional mean and covariance structures. These methods are constructed using pairwise Bayes factors, leveraging modularization to identify significant changes in…

统计方法学 · 统计学 2024-11-25 Jaehoon Kim , Kyoungjae Lee , Lizhen Lin

This paper is concerned with the detection of multiple change-points in the joint distribution of independent categorical variables. The procedures introduced rely on model selection and are based on a penalized least-squares criterion.…

统计理论 · 数学 2008-01-08 Nathalie Akakpo

Detecting multiple change points in functional data sequences has been increasingly popular and critical in various scientific fields. In this article, we propose a novel two-stage framework for detecting multiple change points in…

统计方法学 · 统计学 2025-05-27 Zhiqing Fang , Xin Liu

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

In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noise. Our method transforms the change point detection problem…

统计方法学 · 统计学 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

A manuscript version of the chapter "The Multiple Change-in-Gaussian-Mean Problem" from the book "Change-Point Detection and Data Segmentation" by Fearnhead and Fryzlewicz, currently in preparation. All R code and data to accompany this…

统计方法学 · 统计学 2024-05-14 Paul Fearnhead , Piotr Fryzlewicz

In a physical system, changing parameters such as temperature can induce a phase transition: an abrupt change from one state of matter to another. Analogous phenomena have recently been observed in large language models. Typically, the task…

机器学习 · 计算机科学 2024-05-28 Julian Arnold , Flemming Holtorf , Frank Schäfer , Niels Lörch

By attaching auxiliary event times to the chronologically ordered observations, we formulate the Bayesian multiple changepoint problem of discrete-time observations into that of continuous-time ones. A version of forward-filtering…

统计计算 · 统计学 2020-06-30 Lu Shaochuan

In this paper, we consider the problem of (multiple) change-point detection in panel data. We propose the double CUSUM statistic which utilises the cross-sectional change-point structure by examining the cumulative sums of ordered CUSUMs at…

统计方法学 · 统计学 2016-11-29 Haeran Cho

In standardized educational testing, test items are reused in multiple test administrations. To ensure the validity of test scores, the psychometric properties of items should remain unchanged over time. In this paper, we consider the…

应用统计 · 统计学 2021-10-26 Yunxiao Chen , Yi-Hsuan Lee , Xiaoou Li