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Change point detection in high dimensional data has found considerable interest in recent years. Most of the literature either designs methodology for a retrospective analysis, where the whole sample is already available when the…

Statistics Theory · Mathematics 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

Statistical approaches to cyber-security involve building realistic probability models of computer network data. In a data pre-processing phase, separating automated events from those caused by human activity should improve statistical…

Applications · Statistics 2017-07-04 Matthew Price-Williams , Nick Heard , Melissa Turcotte

One of the main challenges in identifying structural changes in stochastic processes is to carry out analysis for time series with dependency structure in a computationally tractable way. Another challenge is that the number of true change…

Methodology · Statistics 2017-08-02 Jie Ding , Yu Xiang , Lu Shen , Vahid Tarokh

This paper proposes a novel methodology for the online detection of changepoints in the factor structure of large matrix time series. Our approach is based on the well-known fact that, in the presence of a changepoint, a factor model can be…

Methodology · Statistics 2021-12-28 Yong He , Xin-bing Kong , Lorenzo Trapani , Long Yu

Single fault sequential change point problems have become important in modeling for various phenomena in large distributed systems, such as sensor networks. But such systems in many situations present multiple interacting faults. For…

Information Theory · Computer Science 2015-03-17 Ram Rajagopal , XuanLong Nguyen , Sinem Coleri Ergen , Pravin Varaiya

Motivated by a condition monitoring application arising from subsea engineering we derive a novel, scalable approach to detecting anomalous mean structure in a subset of correlated multivariate time series. Given the need to analyse such…

Methodology · Statistics 2021-04-02 Martin Tveten , Idris A. Eckley , Paul Fearnhead

In this paper, we propose a new generic method for detecting the number and locations of structural breaks or change points in piecewise linear models under stationary Gaussian noise. Our method transforms the change point detection problem…

Methodology · Statistics 2026-01-14 Zhibing He , Dan Cheng , Yunpeng Zhao

Very long and noisy sequence data arise from biological sciences to social science including high throughput data in genomics and stock prices in econometrics. Often such data are collected in order to identify and understand shifts in…

Methodology · Statistics 2016-07-15 Yue S. Niu , Ning Hao , Heping Zhang

Oftentimes in practice, the observed process changes statistical properties at an unknown point in time and the duration of a change is substantially finite, in which case one says that the change is intermittent or transient. We provide an…

Applications · Statistics 2023-04-11 Grigory Sokolov , Valentin S. Spivak , Alexander G. Tartakovsky

A new class of stochastic processes called independent and periodically identically distributed (i.p.i.d.) processes is defined to capture periodically varying statistical behavior. A novel Bayesian theory is developed for detecting a…

Signal Processing · Electrical Eng. & Systems 2019-04-09 Taposh Banerjee , Prudhvi Gurram , Gene Whipps

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

Change point detection (CPD) aims to locate abrupt property changes in time series data. Recent CPD methods demonstrated the potential of using deep learning techniques, but often lack the ability to identify more subtle changes in the…

Machine Learning · Computer Science 2021-07-21 Tim De Ryck , Maarten De Vos , Alexander Bertrand

Changes in the timescales at which complex systems evolve are essential to predicting critical transitions and catastrophic failures. Disentangling the timescales of the dynamics governing complex systems remains a key challenge. With this…

Methodology · Statistics 2024-03-11 Giona Casiraghi , Georges Andres

The aim of the present study is to detect abrupt trend changes in the mean of a multidimensional sequential signal. Directly inspired by papers of Fernhead and Liu ([4] and [5]), this work describes the signal in a hierarchical manner : the…

Machine Learning · Computer Science 2021-06-11 Olivier Sorba , C Geissler

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

Functional data analysis, which models data as realizations of random functions over a continuum, has emerged as a useful tool for time series data. Often, the goal is to infer the dynamic connections (or time-varying conditional…

Methodology · Statistics 2024-12-10 Chunshan Liu , Daniel R. Kowal , James Doss-Gollin , Marina Vannucci

Online detection of instantaneous changes in the generative process of a data sequence generally focuses on retrospective inference of such change points without considering their future occurrences. We extend the Bayesian Online Change…

Machine Learning · Computer Science 2020-06-25 Diego Agudelo-España , Sebastian Gomez-Gonzalez , Stefan Bauer , Bernhard Schölkopf , Jan Peters

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

This paper addresses the open problem of conducting change-point analysis for interval-valued time series data using the maximum likelihood estimation (MLE) framework. Motivated by financial time series, we analyze data that includes daily…

Methodology · Statistics 2024-10-15 Li-Hsien Sun , Zong-Yuan Huang , Chi-Yang Chiu , Ning Ning

It is quite common that the structure of a time series changes abruptly. Identifying these change points and describing the model structure in the segments between these change points is of interest. In this paper, time series data is…

Computation · Statistics 2019-12-18 Lijing Ma , Andrew Grant , Georgy Sofronov