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Robust Markov decision processes (MDPs) address the challenge of model uncertainty by optimizing the worst-case performance over an uncertainty set of MDPs. In this paper, we focus on the robust average-reward MDPs under the model-free…

机器学习 · 计算机科学 2023-05-19 Yue Wang , Alvaro Velasquez , George Atia , Ashley Prater-Bennette , Shaofeng Zou

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

统计方法学 · 统计学 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

We develop algorithms for detecting multiple changepoints in functional data when the number of changepoints is unknown (unsupervised case), when it is specified apriori (supervised case), and when certain bounds are available…

统计方法学 · 统计学 2025-11-19 Sourav Chakrabarty , Anirvan Chakraborty , Shyamal K. De

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

Modern clinical decision support systems can concurrently serve multiple, independent medical imaging institutions, but their predictive performance may degrade across sites due to variations in patient populations, imaging hardware, and…

人工智能 · 计算机科学 2025-12-23 Xavier Rafael-Palou , Jose Munuera , Ana Jimenez-Pastor , Richard Osuala , Karim Lekadir , Oliver Diaz

We consider the fundamental problem of matching a template to a signal. We do so by M-estimation, which encompasses procedures that are robust to gross errors (i.e., outliers). Using standard results from empirical process theory, we derive…

统计理论 · 数学 2020-09-10 Ery Arias-Castro , Lin Zheng

We introduce a new Levy fluctuation theoretic method to analyze the cumulative sum (CUSUM) procedure in sequential change-point detection. When observations are phase-type distributed and the post-change distribution is given by exponential…

统计方法学 · 统计学 2022-09-07 Jevgenijs Ivanovs , Kazutoshi Yamazaki

In high-dimensional time series, the component processes are often assembled into a matrix to display their interrelationship. We focus on detecting mean shifts with unknown change point locations in these matrix time series. Series that…

统计方法学 · 统计学 2024-07-16 Xinyu Zhang , Kung-Sik Chan

Given observations from a stationary time series, permutation tests allow one to construct exactly level $\alpha$ tests under the null hypothesis of an i.i.d. (or, more generally, exchangeable) distribution. On the other hand, when the null…

统计理论 · 数学 2020-09-09 Joseph P. Romano , Marius A. Tirlea

Non-stationarity of the rate or variance of events is a well-known problem in the description and analysis of time series of events, such as neuronal spike trains. A multiple filter test (MFT) for rate homogeneity has been proposed earlier…

应用统计 · 统计学 2018-10-03 Stefan Albert , Michael Messer , Julia Schiemann , Jochen Roeper , Gaby Schneider

We introduce a new approach for decoupling trends (drift) and changepoints (shifts) in time series. Our locally adaptive model-based approach for robustly decoupling combines Bayesian trend filtering and machine learning based…

统计方法学 · 统计学 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

Standard Control Chart techniques to detect level shift in data streams assume independence between observations. As data today is collected with high frequency, this assumption is seldom valid. To overcome this, we propose to adapt the…

统计方法学 · 统计学 2019-11-11 Jacob Søgaard Larsen , Anders Stockmarr , Bjarne Kjær Ersbøll , Murat Kulahci

In this paper we consider the problem of detecting a change in the parameters of an autoregressive process, where the moments of the innovation process do not necessarily exist. An empirical likelihood ratio test for the existence of a…

统计理论 · 数学 2016-12-07 Fumiya Akashi , Holger Dette , Yan Liu

The kernel Maximum Mean Discrepancy~(MMD) is a popular multivariate distance metric between distributions that has found utility in two-sample testing. The usual kernel-MMD test statistic is a degenerate U-statistic under the null, and thus…

统计方法学 · 统计学 2025-09-16 Shubhanshu Shekhar , Ilmun Kim , Aaditya Ramdas

Universal compression algorithms have been studied in the past for sequential change detection, where they have been used to estimate the post-change distribution in the modified version of the Cumulative Sum (CUSUM) Test. In this paper, we…

信息论 · 计算机科学 2021-12-15 Vikrant Malik , R. K. Bansal

Many modern applications of online changepoint detection require the ability to process high-frequency observations, sometimes with limited available computational resources. Online algorithms for detecting a change in mean often involve…

统计方法学 · 统计学 2023-04-12 Gaetano Romano , Idris Eckley , Paul Fearnhead , Guillem Rigaill

In this paper the problem of retrospective change-point detection and estimation in multivariate linear models is considered. The lower bounds for the error of change-point estimation are proved in different cases (one change-point:…

统计理论 · 数学 2011-10-27 Boris Brodsky , Boris Darkhovsky

In a sequence of multivariate observations or non-Euclidean data objects, such as networks, local dependence is common and could lead to false change-point discoveries. We propose a new way of permutation -- circular block permutation with…

统计方法学 · 统计学 2019-03-06 Hao Chen

The q-weighted CUSUM and their corresponding estimator are well known statistics for change-point detection and estimation. They have the difficulty that the performance is highly dependent on the location of the change. An adaptive…

应用统计 · 统计学 2020-10-26 Stefanie Schwaar

For sequential data, a change point is a moment of abrupt regime switch in data streams. Such changes appear in different scenarios, including simpler data from sensors and more challenging video surveillance data. We need to detect…

机器学习 · 计算机科学 2025-09-03 Evgenia Romanenkova , Alexander Stepikin , Matvey Morozov , Alexey Zaytsev