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In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

Probability · Mathematics 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

Ensuring fairness in data driven decision making has become a central concern across domains such as marketing, lending, and healthcare, but fairness constraints often come at the cost of utility. We propose a statistical hypothesis testing…

Computers and Society · Computer Science 2025-09-25 Yan Chen , Zheng Tan , Jose Blanchet , Hanzhang Qin

A common approach to detect multiple changepoints is to minimise a measure of data fit plus a penalty that is linear in the number of changepoints. This paper shows that the general finite sample behaviour of such a method can be related to…

Statistics Theory · Mathematics 2022-08-15 Chao Zheng , Idris A. Eckley , Paul Fearnhead

We study change point detection and localization for univariate data in fully nonparametric settings in which, at each time point, we acquire an i.i.d. sample from an unknown distribution. We quantify the magnitude of the distributional…

Methodology · Statistics 2019-05-27 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

We consider change-point estimation in a sequence of high-dimensional signals given noisy observations. Classical approaches to this problem such as the filtered derivative method are useful for sequences of scalar-valued signals, but they…

Statistics Theory · Mathematics 2015-01-08 Yong Sheng Soh , Venkat Chandrasekaran

Patterns and nonlinear waves, such as spots, stripes, and rotating spirals, arise prominently in many natural processes and in reaction-diffusion models. Our goal is to compute boundaries between parameter regions with different prevailing…

Pattern Formation and Solitons · Physics 2025-03-11 Wenjun Zhao , Samuel Maffa , Björn Sandstede

This paper studies the expected optimal value of a mixed 0-1 programming problem with uncertain objective coefficients following a joint distribution. We assume that the true distribution is not known exactly, but a set of independent…

Optimization and Control · Mathematics 2017-08-28 Guanglin Xu , Samuel Burer

Considering two random variables with different laws to which we only have access through finite size iid samples, we address how to reweight the first sample so that its empirical distribution converges towards the true law of the second…

Statistics Theory · Mathematics 2022-06-08 Julien Reygner , Adrien Touboul

Change point detection plays a fundamental role in many real-world applications, where the goal is to analyze and monitor the behaviour of a data stream. In this paper, we study change detection in binary streams. To this end, we use a…

Machine Learning · Computer Science 2023-01-24 Nikolaj Tatti

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez

We consider the problem of change point detection for high-dimensional distributions in a location family when the dimension can be much larger than the sample size. In change point analysis, the widely used cumulative sum (CUSUM)…

Statistics Theory · Mathematics 2021-10-14 Mengjia Yu , Xiaohui Chen

Classifier predictions often rely on the assumption that new observations come from the same distribution as training data. When the underlying distribution changes, so does the optimal classification rule, and performance may degrade. We…

Methodology · Statistics 2021-09-01 Ciaran Evans , Max G'Sell

High-dimensional changepoint inference, adaptable to diverse alternative scenarios, has attracted significant attention in recent years. In this paper, we propose an adaptive and robust approach to changepoint testing. Specifically, by…

Methodology · Statistics 2025-04-29 Jixuan Liu , Long Feng , Liuhua Peng , Zhaojun Wang

Without imposing prior distributional knowledge underlying multivariate time series of interest, we propose a nonparametric change-point detection approach to estimate the number of change points and their locations along the temporal axis.…

Methodology · Statistics 2021-05-13 Xiaodong Wang , Fushing Hsieh

In this paper, we consider the problem of (multiple) change-point detection in panel data. We propose the double CUSUM statistic which utilises the cross-sectional change-point structure by examining the cumulative sums of ordered CUSUMs at…

Methodology · Statistics 2016-11-29 Haeran Cho

Detection of change-points in a sequence of high-dimensional observations is a very challenging problem, and this becomes even more challenging when the sample size (i.e., the sequence length) is small. In this article, we propose some…

Methodology · Statistics 2021-11-30 Trisha Dawn , Angshuman Roy , Alokesh Manna , Anil K. Ghosh

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…

Methodology · Statistics 2024-01-09 Haoxuan Wu , Toryn L. J. Schafer , Sean Ryan , David S. Matteson

We address the problem of detecting changes in multivariate datastreams, and we investigate the intrinsic difficulty that change-detection methods have to face when the data dimension scales. In particular, we consider a general approach…

Machine Learning · Statistics 2017-12-04 Cesare Alippi , Giacomo Boracchi , Diego Carrera , Manuel Roveri

Many traditional methods for identifying changepoints can struggle in the presence of outliers, or when the noise is heavy-tailed. Often they will infer additional changepoints in order to fit the outliers. To overcome this problem, data…

Methodology · Statistics 2017-07-12 Paul Fearnhead , Guillem Rigaill

Sudden changes are ubiquitous in nature. Identifying them is of crucial importance for a number of applications in medicine, biology, geophysics, and social sciences. Here we investigate the problem in the quantum domain, considering a…

Quantum Physics · Physics 2016-10-12 Gael Sentís , Emilio Bagan , John Calsamiglia , Giulio Chiribella , Ramon Munoz-Tapia