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Elementary techniques from operational calculus, differential algebra, and noncommutative algebra lead to a new approach for change-point detection, which is an important field of investigation in various areas of applied sciences and…

Numerical Analysis · Computer Science 2016-09-08 Michel Fliess , Cédric Join , Mamadou Mboup

This paper studies the unsupervised change point detection problem in time series of networks using the Separable Temporal Exponential-family Random Graph Model (STERGM). Inherently, dynamic network patterns are complex due to dyadic and…

Methodology · Statistics 2025-09-01 Yik Lun Kei , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla

Roll-call data analysis aims to estimate legislators' ideal points and quantify the associated uncertainty. Existing approaches either rely on Bayesian methods implemented via Markov chain Monte Carlo sampling or focus primarily on point…

Methodology · Statistics 2026-05-20 Kwangok Seo , Youngjo Lee , Jong Hee Park , Xinlei Wang , Johan Lim

The problem of online change point detection is to detect abrupt changes in properties of time series, ideally as soon as possible after those changes occur. Existing work on online change point detection either assumes i.i.d data, focuses…

Machine Learning · Computer Science 2023-12-01 Lei Xin , George Chiu , Shreyas Sundaram

The dynamic nature of many real-world systems can lead to temporal outcome model shifts, causing a deterioration in model accuracy and reliability over time. This requires change-point detection on the outcome models to guide model…

Methodology · Statistics 2026-01-13 Zhuofan Dong , Yiwen Huang , Yan Dong , Mengying Yan , Ziye Tian , Chuan Hong , Doudou Zhou , Molei Liu

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

Methodology · Statistics 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

We consider the sequential change-point detection problem of detecting changes that are characterized by a subspace structure. Such changes are frequent in high-dimensional streaming data altering the form of the corresponding covariance…

Statistics Theory · Mathematics 2018-06-29 Liyan Xie , George V. Moustakides , Yao Xie

We propose a novel change-point detection method based on online Dynamic Mode Decomposition with control (ODMDwC). Leveraging ODMDwC's ability to find and track linear approximation of a non-linear system while incorporating control…

Artificial Intelligence · Computer Science 2024-08-20 Marek Wadinger , Michal Kvasnica , Yoshinobu Kawahara

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 a computationally efficient online kernel Cumulative Sum (CUSUM) method for change-point detection that utilizes the maximum over a set of kernel statistics to account for the unknown change-point location. Our approach exhibits…

Methodology · Statistics 2026-01-07 Song Wei , Yao Xie

We analyze a varying-coefficient dynamic spatial autoregressive model with spatial fixed effects. One salient feature of the model is the incorporation of multiple spatial weight matrices through their linear combinations with varying…

Methodology · Statistics 2025-05-12 Zetai Cen , Yudong Chen , Clifford Lam

Responsibly deploying artificial intelligence (AI) / machine learning (ML) systems in high-stakes settings arguably requires not only proof of system reliability, but also continual, post-deployment monitoring to quickly detect and address…

Machine Learning · Computer Science 2025-08-26 Drew Prinster , Xing Han , Anqi Liu , Suchi Saria

The aim of sequential change-point detection is to issue an alarm when it is thought that certain probabilistic properties of the monitored observations have changed. This work is concerned with nonparametric, closed-end testing procedures…

Methodology · Statistics 2020-10-27 Ivan Kojadinovic , Ghislain Verdier

In this article, we consider change point inference for high dimensional linear models. For change point detection, given any subgroup of variables, we propose a new method for testing the homogeneity of corresponding regression…

Methodology · Statistics 2024-01-17 Bin Liu , Xinsheng Zhang , Yufeng Liu

The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical change-point detection algorithm based on non-parametric divergence estimation…

Machine Learning · Statistics 2015-03-20 Song Liu , Makoto Yamada , Nigel Collier , Masashi Sugiyama

A novel approach is proposed to establish a sharp upper bound on the expected supremum of a separable martingale random field, serving as an alternative to classical universal chaining-based methods. The proposed approach begins by deriving…

Probability · Mathematics 2026-04-07 Yoichi Nishiyama

We study the problem of detecting change points (CPs) that are characterized by a subset of dimensions in a multi-dimensional sequence. A method for detecting those CPs can be formulated as a two-stage method: one for selecting relevant…

Machine Learning · Statistics 2018-03-05 Yuta Umezu , Ichiro Takeuchi

This paper focuses on stochastic saddle point problems with decision-dependent distributions. These are problems whose objective is the expected value of a stochastic payoff function and whose data distribution drifts in response to…

Optimization and Control · Mathematics 2022-11-15 Killian Wood , Emiliano Dall'Anese

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

Change point detection becomes more and more important as datasets increase in size, where unsupervised detection algorithms can help users process data. To detect change points, a number of unsupervised algorithms have been developed which…

Numerical Analysis · Mathematics 2021-06-18 Rebecca Gedda , Larisa Beilina , Ruomu Tan
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