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In recent years, there has been an increasing demand on efficient algorithms for large scale change point detection problems. To this end, we propose seeded binary segmentation, an approach relying on a deterministic construction of…

Methodology · Statistics 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

Structural breaks have been commonly seen in applications. Specifically for detection of change points in time, research gap still remains on the setting in ultra high dimension, where the covariates may bear spurious correlations. In this…

Methodology · Statistics 2021-06-10 Xin Liu , Liwen Zhang , Zhen Zhang

There is increasing interest in identifying changes in the underlying states of brain networks. The availability of large scale neuroimaging data creates a strong need to develop fast, scalable methods for detecting and localizing in time…

Methodology · Statistics 2022-01-11 Peiliang Bai , Abolfazl Safikhani , George Michailidis

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 propose a new method for decomposing seasonal data: STR (a Seasonal-Trend decomposition using Regression). Unlike other decomposition methods, STR allows for multiple seasonal and cyclic components, covariates, seasonal patterns that may…

Methodology · Statistics 2021-07-02 Alexander Dokumentov , Rob J. Hyndman

Automated surface-anomaly detection using machine learning has become an interesting and promising area of research, with a very high and direct impact on the application domain of visual inspection. Deep-learning methods have become the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Domen Tabernik , Samo Šela , Jure Skvarč , Danijel Skočaj

Multiscale phenomena that evolve on multiple distinct timescales are prevalent throughout the sciences. It is often the case that the governing equations of the persistent and approximately periodic fast scales are prescribed, while the…

Chaotic Dynamics · Physics 2020-08-19 Jason J. Bramburger , Daniel Dylewsky , J. Nathan Kutz

High-dimensional streaming data are becoming increasingly ubiquitous in many fields. They often lie in multiple low-dimensional subspaces, and the manifold structures may change abruptly on the time scale due to pattern shift or occurrence…

Machine Learning · Statistics 2022-04-13 Ruiyu Xu , Jianguo Wu , Xiaowei Yue , Yongxiang Li

Assuming stationarity is unrealistic in many time series applications. A more realistic alternative is to allow for piecewise stationarity, where the model is allowed to change at given time points. We propose a three-stage procedure for…

Methodology · Statistics 2018-05-31 Abolfazl Safikhani , Ali Shojaie

This article proposes an estimation method to detect breakpoints for linear time series models with their parameters that jump scarcely. Its basic idea owes the group LASSO (group least absolute shrinkage and selection operator). The method…

Econometrics · Economics 2022-02-08 Mikio Ito

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

For data segmentation in high-dimensional linear regression settings, the regression parameters are often assumed to be sparse segment-wise, which enables many existing methods to estimate the parameters locally via $\ell_1$-regularised…

Methodology · Statistics 2026-05-08 Haeran Cho , Tobias Kley , Housen Li

While seasonality inherent to raw macroeconomic data is commonly removed by seasonal adjustment techniques before it is used for structural inference, this may distort valuable information in the data. As an alternative method to commonly…

Econometrics · Economics 2025-08-12 Daniel Dzikowski , Carsten Jentsch

We developed a novel statistical method to identify structural differences between networks characterized by structural equation models. We propose to reparameterize the model to separate the differential structures from common structures,…

Methodology · Statistics 2018-10-10 Min Ren , Dabao Zhang

Complex systems which can be represented in the form of static and dynamic graphs arise in different fields, e.g. communication, engineering and industry. One of the interesting problems in analysing dynamic network structures is to monitor…

Machine Learning · Computer Science 2020-11-13 Anna Malinovskaya , Philipp Otto , Torben Peters

We propose a Bayesian approach to detect multiple change-points in a piecewise-constant signal corrupted by a functional part corresponding to environmental or experimental disturbances. The piecewise constant part (also called segmentation…

Statistics Theory · Mathematics 2017-01-23 Meili Baragatti , Karine Bertin , Emilie Lebarbier , Cristian Meza

We propose a computationally and statistically efficient procedure for segmenting univariate data under piecewise linearity. The proposed moving sum (MOSUM) methodology detects multiple change points where the underlying signal undergoes…

Methodology · Statistics 2023-08-25 Joonpyo Kim , Hee-Seok Oh , Haeran Cho

We propose a sparse regression method capable of discovering the governing partial differential equation(s) of a given system by time series measurements in the spatial domain. The regression framework relies on sparsity promoting…

Pattern Formation and Solitons · Physics 2016-09-22 Samuel H. Rudy , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

Many modern applications require detecting change points in complex sequential data. Most existing methods for change point detection are unsupervised and, as a consequence, lack any information regarding what kind of changes we want to…

Machine Learning · Computer Science 2022-02-11 Nauman Ahad , Eva L. Dyer , Keith B. Hengen , Yao Xie , Mark A. Davenport

The attention towards food products characteristics, such as nutritional properties and traceability, has risen substantially in the recent years. Consequently, we are witnessing an increased demand for the development of modern tools to…

Methodology · Statistics 2023-09-14 Federico Ferraccioli , Alessandro Casa , Marco Stefanucci