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Ordinary differential equations (ODEs) are used to model dynamic systems appearing in engineering, physics, biomedical sciences and many other fields. These equations contain unknown parameters, say $\bm\theta$ of physical significance…

Statistics Theory · Mathematics 2014-11-05 Prithwish Bhaumik , Subhashis Ghosal

We propose a new, computationally efficient, sparsity adaptive changepoint estimator for detecting changes in unknown subsets of a high-dimensional data sequence. Assuming the data sequence is Gaussian, we prove that the new method…

Methodology · Statistics 2023-11-27 Per August Jarval Moen , Ingrid Kristine Glad , Martin Tveten

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…

Methodology · Statistics 2025-05-27 Zhiqing Fang , Xin Liu

A novel sequential change detection problem is proposed, in which the goal is to not only detect but also accelerate the change. Specifically, it is assumed that the sequentially collected observations are responses to treatments selected…

Statistics Theory · Mathematics 2024-06-24 Yanglei Song , Georgios Fellouris

Detecting anomalies in images has become a well-explored problem in both academia and industry. State-of-the-art algorithms are able to detect defects in increasingly difficult settings and data modalities. However, most current methods are…

Computer Vision and Pattern Recognition · Computer Science 2024-04-11 Mathis Kruse , Marco Rudolph , Dominik Woiwode , Bodo Rosenhahn

We study sequential change-point detection for spatio-temporal point processes, where actionable detection requires not only identifying when a distributional change occurs but also localizing where it manifests in space. While classical…

Methodology · Statistics 2026-02-05 Wenbin Zhou , Liyan Xie , Shixiang Zhu

We introduce a novel technique within the Nested Sampling framework to enhance efficiency of the computation of Bayesian evidence, a critical component in scientific data analysis. In higher dimensions, Nested Sampling relies on Markov…

Instrumentation and Methods for Astrophysics · Physics 2023-12-19 Joshua G. Albert

System identification is of special interest in science and engineering. This article is concerned with a system identification problem arising in stochastic dynamic systems, where the aim is to estimate the parameters of a system along…

Methodology · Statistics 2022-01-27 Christos Merkatas , Simo Särkkä

Classical change point analysis aims at (1) detecting abrupt changes in the mean of a possibly non-stationary time series and at (2) identifying regions where the mean exhibits a piecewise constant behavior. In many applications however, it…

Statistics Theory · Mathematics 2020-02-17 Axel Bücher , Holger Dette , Florian Heinrichs

This paper introduces an algorithm for the detection of change-points and the identification of the corresponding subsequences in transient multivariate time-series data (MTSD). The analysis of such data has become more and more important…

Signal Processing · Electrical Eng. & Systems 2023-04-05 Jonas Köhne , Lars Henning , Clemens Gühmann

We adaptively estimate both changepoints and local outlier processes in a Bayesian dynamic linear model with global-local shrinkage priors in a novel model we call Adaptive Bayesian Changepoints with Outliers (ABCO). We utilize a…

Methodology · Statistics 2024-03-15 Haoxuan Wu , Toryn L. J. Schafer , David S. Matteson

In modern business modeling and analytics, data monitoring plays a critical role. Nowadays, sophisticated models often rely on hundreds or even thousands of input variables. Over time, structural changes such as abrupt level shifts or trend…

Methodology · Statistics 2019-10-07 Yingbo Li , Robert Cezeaux , Di Yu

We present a general and flexible framework for detecting regime changes in complex, non-stationary data across multi-trial experiments. Traditional change point detection methods focus on identifying abrupt changes within a single time…

Methodology · Statistics 2025-12-08 Anass B. El-Yaagoubi , Jean-Marc Freyermuth , Hernando Ombao

We present a new CUSUM procedure for sequentially detecting change-point in the self and mutual exciting processes, a.k.a. Hawkes networks using discrete events data. Hawkes networks have become a popular model for statistics and machine…

Machine Learning · Statistics 2022-03-08 Haoyun Wang , Liyan Xie , Yao Xie , Alex Cuozzo , Simon Mak

Supremum norm loss is intuitively more meaningful to quantify function estimation error in statistics. In the context of multivariate nonparametric regression with unknown error, we propose a Bayesian procedure based on spike-and-slab prior…

Statistics Theory · Mathematics 2018-06-29 William Weimin Yoo , Vincent Rivoirard , Judith Rousseau

We study online changepoint detection in the context of a linear regression model. We propose a class of heavily weighted statistics based on the CUSUM process of the regression residuals, which are specifically designed to ensure timely…

Methodology · Statistics 2024-02-08 Fabrizio Ghezzi , Eduardo Rossi , Lorenzo Trapani

In this paper, we present a new practical method for Bayesian learning that can rapidly draw representative samples from complex posterior distributions with multiple isolated modes in the presence of mini-batch noise. This is achieved by…

Machine Learning · Statistics 2021-02-23 Rui Luo , Qiang Zhang , Yaodong Yang , Jun Wang

An important assumption in the work on testing for structural breaks in time series consists in the fact that the model is formulated such that the stochastic process under the null hypothesis of "no change-point" is stationary. This…

Methodology · Statistics 2015-03-31 Holger Dette , Weichi Wu , Zhou Zhou

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,…

Methodology · Statistics 2015-02-18 Hao Chen , Nancy Zhang

We present an approach for the detection of sharp change points (short-lived and persistent) in nonlinear and nonstationary dynamic systems under high levels of noise by tracking the local phase and amplitude synchronization among the…

Data Analysis, Statistics and Probability · Physics 2020-08-04 Ashif Sikandar Iquebal , Satish Bukkapatnam , Arun Srinivasa
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