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We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information…

统计方法学 · 统计学 2018-02-23 Lynna Chu , Hao Chen

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

统计方法学 · 统计学 2015-02-18 Hao Chen , Nancy Zhang

In this paper, the problem of quickly detecting an abrupt change on a stochastic process under Bayesian framework is considered. Different from the classic Bayesian quickest change-point detection problem, this paper considers the case…

信息论 · 计算机科学 2017-08-24 Jun Geng , Erhan Bayraktar , Lifeng Lai

Dependent nonparametric processes extend distributions over measures, such as the Dirichlet process and the beta process, to give distributions over collections of measures, typically indexed by values in some covariate space. Such models…

机器学习 · 统计学 2012-11-21 Nicholas J. Foti , Sinead Williamson

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

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

统计理论 · 数学 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

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

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 consider a unified framework of sequential change-point detection and hypothesis testing modeled by means of hidden Markov chains. One observes a sequence of random variables whose distributions are functionals of a hidden Markov chain.…

最优化与控制 · 数学 2013-12-13 Savas Dayanik , Kazutoshi Yamazaki

We propose a new framework for the detection of change-points in online, sequential data analysis. The approach utilizes nearest neighbor information and can be applied to sequences of multivariate observations or non-Euclidean data…

统计方法学 · 统计学 2018-05-01 Hao Chen

When a predictive model is in production, it must be monitored in real-time to ensure that its performance does not suffer due to drift or abrupt changes to data. Ideally, this is done long before learning that the performance of the model…

Most studies in real time change-point detection either focus on the linear model or use the CUSUM method under classical assumptions on model errors. This paper considers the sequential change-point detection in a nonlinear quantile model.…

统计理论 · 数学 2016-05-03 Gabriela Ciuperca

We propose an algorithm for nonparametric online change point detection based on sequential score function estimation and the tracking the best expert approach. The core of the procedure is a version of the fixed share forecaster tailored…

机器学习 · 计算机科学 2026-02-18 Anna Markovich , Nikita Puchkin

We consider the structural change in a class of discrete valued time series that the conditional distribution follows a one-parameter exponential family. We propose a change-point test based on the maximum likelihood estimator of the…

统计理论 · 数学 2016-03-01 Mamadou Lamine Diop , William Kengne

Consider observations $y_1,\dots,y_n$ on nodes of a connected graph, where the $y_i$ independently come from $N(\theta_i, \sigma^2)$ distributions and an unknown partition divides the $n$ observations into blocks. One well-studied class of…

统计方法学 · 统计学 2015-09-03 Xiaofei Wang , John W. Emerson

We introduce a new approach to prediction in graphical models with latent-shift adaptation, i.e., where source and target environments differ in the distribution of an unobserved confounding latent variable. Previous work has shown that as…

机器学习 · 统计学 2023-06-26 William I. Walker , Arthur Gretton , Maneesh Sahani

Sequential (online) change-point detection involves continuously monitoring time-series data and triggering an alarm when shifts in the data distribution are detected. We propose an algorithm for real-time identification of alterations in…

统计方法学 · 统计学 2024-12-16 Yuhan Tian , Abolfazl Safikhani

A function of the empirical characteristic function,exists for the stable distribution, which leads to a linear regression and can be used to estimate the parameters. Two approaches are often used, one to find optimal values of t, but these…

统计计算 · 统计学 2018-11-06 J. Martin van Zyl

We consider the problem of sequential estimation of the unknowns of state-space and deep state-space models that include estimation of functions and latent processes of the models. The proposed approach relies on Gaussian and deep Gaussian…

机器学习 · 计算机科学 2024-03-26 Yuhao Liu , Marzieh Ajirak , Petar Djuric

Consider $K$ processes, each generating a sequence of identical and independent random variables. The probability measures of these processes have random parameters that must be estimated. Specifically, they share a parameter $\theta$…

机器学习 · 计算机科学 2022-10-12 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das