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This paper studies high-dimensional trend inference for piecewise smooth signals under nonstationary noise and asynchronous structural breaks by first detecting asynchronous changes without assuming stationarity and then further exploiting…

Methodology · Statistics 2026-04-27 Lujia Bai , David Veitch , Weichi Wu , Wenyang Zhang , Zhou Zhou

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

In this paper, we propose a fast, well-performing, and consistent method for segmenting a piecewise-stationary, linear time series with an unknown number of breakpoints. The time series model we use is the nonparametric Locally Stationary…

Methodology · Statistics 2016-11-30 Haeran Cho , Piotr Fryzlewicz

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

A simultaneous change-point detection and estimation in a piece-wise constant model is a common task in modern statistics. If, in addition, the whole estimation can be performed automatically, in just one single step without going through…

Statistics Theory · Mathematics 2019-01-16 Gabriela Ciuperca , Matúš Maciak

Change-point detection studies the problem of detecting the changes in the underlying distribution of the data stream as soon as possible after the change happens. Modern large-scale, high-dimensional, and complex streaming data call for…

Statistics Theory · Mathematics 2023-06-05 Haoyun Wang , Yao Xie

We consider Bayesian analysis of a class of multiple changepoint models. While there are a variety of efficient ways to analyse these models if the parameters associated with each segment are independent, there are few general approaches…

Computation · Statistics 2009-10-19 Paul Fearnhead , Zhen Liu

As time series data become increasingly prevalent in domains such as manufacturing, IT, and infrastructure monitoring, anomaly detection must adapt to nonstationary environments where statistical properties shift over time. Traditional…

Machine Learning · Computer Science 2025-08-12 Muyan Anna Li , Aditi Gautam

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

A new dimension reduction methodology for change-point detection in functional means is developed in this paper. The major advantage and novelty of the proposed method is its efficiency in selecting basis functions that capture the change,…

Methodology · Statistics 2022-09-13 Shuhao Jiao , Ngai-Hang Chan , Chun-Yip Yau

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 an original and general NOn-SEgmental (NOSE) approach for the detection of multiple change-points. NOSE identifies change-points by the non-negligibility of posterior estimates of the jump heights. Alternatively, under the…

Methodology · Statistics 2023-06-19 Chong Zhong , Zhihua Ma , Xu Zhang , Catherine C. Liu

Pedestrian detection is a problem of considerable practical interest. Adding to the list of successful applications of deep learning methods to vision, we report state-of-the-art and competitive results on all major pedestrian datasets with…

Computer Vision and Pattern Recognition · Computer Science 2013-04-03 Pierre Sermanet , Koray Kavukcuoglu , Soumith Chintala , Yann LeCun

In decision modelling with time to event data, parametric models are often used to extrapolate the survivor function. One such model is the piecewise exponential model whereby the hazard function is partitioned into segments, with the…

Methodology · Statistics 2021-12-09 Philip Cooney , Arthur White

In change-point analysis, one aims at finding the locations of abrupt distributional changes (if any) in a sequence of multivariate observations. In this article, we propose some nonparametric methods based on averages of pairwise distances…

Statistics Theory · Mathematics 2025-11-14 Spandan Ghoshal , Bilol Banerjee , Anil K. Ghosh

A key feature of out-of-distribution (OOD) detection is to exploit a trained neural network by extracting statistical patterns and relationships through the multi-layer classifier to detect shifts in the expected input data distribution.…

Machine Learning · Computer Science 2023-06-07 Eduardo Dadalto , Pierre Colombo , Guillaume Staerman , Nathan Noiry , Pablo Piantanida

We propose a non-parametric statistical procedure for detecting multiple change-points in multidimensional signals. The method is based on a test statistic that generalizes the well-known Kruskal-Wallis procedure to the multivariate…

Methodology · Statistics 2011-02-11 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

Change point detection is a crucial aspect of analyzing time series data, as the presence of a change point indicates an abrupt and significant change in the process generating the data. While many algorithms for the problem of change point…

Machine Learning · Computer Science 2023-05-23 Mario Krause

Segmented models are widely used to describe non-stationary sequential data with discrete change points. Their estimation usually requires solving a mixed discrete-continuous optimization problem, where the segmentation is the discrete part…

Machine Learning · Computer Science 2021-01-19 Erik Scharwächter , Jonathan Lennartz , Emmanuel Müller

The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

Signal Processing · Electrical Eng. & Systems 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez