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The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

信号处理 · 电气工程与系统科学 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. In this article, the problem of detecting…

统计方法学 · 统计学 2017-08-10 Abolfazl Safikhani , Ali Shojaie

In this paper we present nonparametric estimators for coefficients in stochastic differential equation if the data are described by independent, identically distributed random variables. The problem is formulated as a nonlinear ill-posed…

统计计算 · 统计学 2015-11-18 Fabian Dunker , Thorsten Hohage

The problem of sequential change diagnosis is considered, where observations are obtained on-line, an abrupt change occurs in their distribution, and the goal is to quickly detect the change and accurately identify the post-change…

统计理论 · 数学 2022-11-24 Austin Warner , Georgios Fellouris

Being the most classical generative model for serial data, state-space models (SSM) are fundamental in AI and statistical machine learning. In SSM, any form of parameter learning or latent state inference typically involves the computation…

机器学习 · 统计学 2024-07-04 Alessandro Mastrototaro , Jimmy Olsson

From a model-building perspective, we propose a paradigm shift for fitting over-parameterized models. Philosophically, the mindset is to fit models to future observations rather than to the observed sample. Technically, given an imputation…

统计方法学 · 统计学 2024-12-09 Yiran Jiang , Chuanhai Liu

Control and state estimation procedures need to be robust against imprecisely known parameters, uncertainty in initial conditions, and external disturbances. Interval methods and other set-based techniques form the basis for the…

系统与控制 · 电气工程与系统科学 2025-10-22 Andreas Rauh , Marit Lahme , Simon Rohou , Luc Jaulin , Thach Ngoc Dinh , Tarek Raissi , Mohamed Fnadi

Inspired by graph-based methodologies, we introduce a novel graph-spanning algorithm designed to identify changes in both offline and online data across low to high dimensions. This versatile approach is applicable to Euclidean and…

机器学习 · 统计学 2026-01-09 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

A change points detection aims to catch an abrupt disorder in data distribution. Common approaches assume that there are only two fixed distributions for data: one before and another after a change point. Real-world data are richer than…

机器学习 · 计算机科学 2022-04-18 Alexander Stepikin , Evgenia Romanenkova , Alexey Zaytsev

The partial least squares algorithm for dependent data realisations is considered. Consequences of ignoring the dependence for the algorithm performance are studied both theoretically and in simulations. It is shown that ignoring certain…

统计理论 · 数学 2016-03-07 Marco Singer , Tatyana Krivobokova , Bert L. de Groot , Axel Munk

In this paper, we propose a new method for offline change-point detection on some parameters of the distribution of a random vector. We introduce a penalized maximum likelihood approach that can be efficiently computed by a dynamic…

统计方法学 · 统计学 2021-11-22 Lucas Prates , Renan B Lemes , Tábita Hünemeier , Florencia Leonardi

This paper considers the real-time detection of anomalies in high-dimensional systems. The goal is to detect anomalies quickly and accurately so that the appropriate countermeasures could be taken in time, before the system possibly gets…

机器学习 · 计算机科学 2020-07-16 Mahsa Mozaffari , Yasin Yilmaz

Detecting change-points in data is challenging because of the range of possible types of change and types of behaviour of data when there is no change. Statistically efficient methods for detecting a change will depend on both of these…

机器学习 · 统计学 2024-08-29 Jie Li , Paul Fearnhead , Piotr Fryzlewicz , Tengyao Wang

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

信息论 · 计算机科学 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

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

We discuss the semiparametric modeling of mark-recapture-recovery data where the temporal and/or individual variation of model parameters is explained via covariates. Typically, in such analyses a fixed (or mixed) effects parametric model…

应用统计 · 统计学 2015-05-21 Théo Michelot , Roland Langrock , Thomas Kneib , Ruth King

Fractionally integrated time series, exhibiting long memory with slowly decaying autocorrelations, are frequently encountered in economics, finance, and related fields. Since the seminal work of Robinson (1995), a variety of semiparametric…

计量经济学 · 经济学 2025-12-17 Jason R. Blevins

The popularity of penalized regression in high-dimensional data analysis has led to a demand for new inferential tools for these models. False discovery rate control is widely used in high-dimensional hypothesis testing, but has only…

统计方法学 · 统计学 2019-01-24 Ryan Miller , Patrick Breheny

We propose a methodology for detecting multiple change points in the mean of an otherwise stationary, autocorrelated, linear time series. It combines solution path generation based on the wild contrast maximisation principle, and an…

统计方法学 · 统计学 2023-04-13 Haeran Cho , Piotr Fryzlewicz

Detecting the emergence of an abrupt change-point is a classic problem in statistics and machine learning. Kernel-based nonparametric statistics have been used for this task which enjoy fewer assumptions on the distributions than the…

机器学习 · 计算机科学 2018-11-14 Shuang Li , Yao Xie , Hanjun Dai , Le Song
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