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Variable-intensity astronomical sources are the result of complex and often extreme physical processes. Abrupt changes in source intensity are typically accompanied by equally sudden spectral shifts, i.e., sudden changes in the wavelength…

应用统计 · 统计学 2015-12-14 Raymond K. W. Wong , Vinay L. Kashyap , Thomas C. M. Lee , David A. van Dyk

Identification of local structure in intensive data -- such as time series, images, and higher dimensional processes -- is an important problem in astronomy. Since the data are typically generated by an inhomogeneous Poisson process, an…

数据分析、统计与概率 · 物理学 2007-05-23 Jeffrey D. Scargle

The telegraph process models a random motion with finite velocity and it is usually proposed as an alternative to diffusion models. The process describes the position of a particle moving on the real line, alternatively with constant…

统计理论 · 数学 2008-12-02 Alessandro De Gregorio , Stefano M. Iacus

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

统计方法学 · 统计学 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

This paper describes a novel approach to change-point detection when the observed high-dimensional data may have missing elements. The performance of classical methods for change-point detection typically scales poorly with the…

机器学习 · 统计学 2015-06-11 Yao Xie , Jiaji Huang , Rebecca Willett

This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral…

统计理论 · 数学 2020-11-05 Zixiang Guan , Gemai Chen

In this work we consider time series with a finite number of discrete point changes. We assume that the data in each segment follows a different probability density functions (pdf). We focus on the case where the data in all segments are…

数据分析、统计与概率 · 物理学 2007-05-23 Ali Mohammad-Djafari , Olivier Feron

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello

This paper proposes a new minimum description length procedure to detect multiple changepoints in time series data when some times are a priori thought more likely to be changepoints. This scenario arises with temperature time series…

统计方法学 · 统计学 2019-05-14 Yingbo Li , Robert Lund , Anuradha Hewaarachchi

We generalize the classic change-point problem to a "change-set" framework: a spatial Poisson process changes its intensity on an unobservable random set. Optimal detection of the set is defined by maximizing the expected value of a gain…

概率论 · 数学 2010-09-30 B. Gail Ivanoff , Ely Merzbach

We present a detection problem where several spatially distributed sensors observe Poisson signals emitted from a single source of unknown position. The measurements at each sensor are modeled by independent inhomogeneous Poisson processes.…

统计理论 · 数学 2018-06-19 Christian Farinetto , Yury A. Kutoyants , Alioune Top

Transient phenomena are interesting and potentially highly revealing of details about the processes under observation and study that could otherwise go unnoticed. It is therefore important to maximize the sensitivity of the method used to…

天体物理仪器与方法 · 物理学 2017-12-05 G. Belanger

The aim of change-point detection is to identify behavioral shifts within time series data. This article focuses on scenarios where the data is derived from an inhomogeneous Poisson process or a marked Poisson process. We present a…

统计方法学 · 统计学 2024-11-07 C. Dion-Blanc , D. Hawat , E. Lebarbier , S. Robin

Change detection and irregular object extraction in 3D point clouds is a challenging task that is of high importance not only for autonomous navigation but also for updating existing digital twin models of various industrial environments.…

计算机视觉与模式识别 · 计算机科学 2023-12-18 Nikolaos Stathoulopoulos , Anton Koval , George Nikolakopoulos

In this paper, we present a change point detection method for detecting change points in multivariate nonstationary wind speed time series. The change point method identifies changes in the covariance structure and decomposes the…

统计方法学 · 统计学 2021-05-25 Sakitha Ariyarathne , Harsha Gangammanavar , Raanju R. Sundararajan

It is quite common that the structure of a time series changes abruptly. Identifying these change points and describing the model structure in the segments between these change points is of interest. In this paper, time series data is…

统计计算 · 统计学 2019-12-18 Lijing Ma , Andrew Grant , Georgy Sofronov

In this paper, two parametric probability distributions capable to describe the statistics of X-ray photon detection by a CCD are presented. They are formulated from simple models that account for the pile-up phenomenon, in which two or…

天体物理仪器与方法 · 物理学 2013-10-30 Diego J. R. Sevilla

The purpose of this study is to provide a new methodology of how one can consistently estimate a change-point in time series data. In contrast with previous studies, the suggested methodology employs only the empirical spectral density and…

统计方法学 · 统计学 2016-11-22 Gyorgy H. Terdik , Stergios B. Fotopoulos , Venkata K. Jandhyala

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

机器学习 · 计算机科学 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

This paper develops change-point methods for the spectrum of a locally stationary time series. We focus on series with a bounded spectral density that change smoothly under the null hypothesis but exhibits change-points or becomes less…

统计理论 · 数学 2024-08-08 Alessandro Casini , Pierre Perron
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