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We describe a new algorithm and R package for peak detection in genomic data sets using constrained changepoint algorithms. These detect changes from background to peak regions by imposing the constraint that the mean should alternately…

Computation · Statistics 2018-10-02 Toby Dylan Hocking , Guillem Rigaill , Paul Fearnhead , Guillaume Bourque

Online changepoint detection aims to detect anomalies and changes in real-time in high-frequency data streams, sometimes with limited available computational resources. This is an important task that is rooted in many real-world…

Methodology · Statistics 2024-01-12 Gaetano Romano , Idris A Eckley , Paul Fearnhead

There is an increasing need for algorithms that can accurately detect changepoints in long time-series, or equivalent, data. Many common approaches to detecting changepoints, for example based on penalised likelihood or minimum description…

Methodology · Statistics 2014-09-08 Robert Maidstone , Toby Hocking , Guillem Rigaill , Paul Fearnhead

We consider the problem of detecting multiple changepoints in large data sets. Our focus is on applications where the number of changepoints will increase as we collect more data: for example in genetics as we analyse larger regions of the…

Methodology · Statistics 2015-03-17 R. Killick , P. Fearnhead , I. A. Eckley

Joint peak detection is a central problem when comparing samples in genomic data analysis, but current algorithms for this task are unsupervised and limited to at most 2 sample types. We propose PeakSegJoint, a new constrained maximum…

Machine Learning · Statistics 2015-06-04 Toby Dylan Hocking , Guillaume Bourque

Change point analysis is concerned with detecting and locating structure breaks in the underlying model of a sequence of observations ordered by time, space or other variables. A widely adopted approach for change point analysis is to…

Methodology · Statistics 2024-04-10 Xingchi Li , Xianyang Zhang

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

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

Applications · Statistics 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Statistical change point (CP) detection methods typically rely on likelihood-based inference and ignore contextual information about plausible CP locations beyond the observed sequence. Although informative priors provide a natural way to…

Methodology · Statistics 2026-05-05 Jonathon Jacobs , Shanshan Chen

Changepoint detection is an important problem with applications across many application domains. There are many different types of changes that one may wish to detect, and a wide-range of algorithms and software for detecting them. However…

Computation · Statistics 2022-08-24 Paul Fearnhead , Daniel Grose

Detecting change-points in data is challenging because of the range of possible types of change and types of behaviour of data when there is no change. Statistically efficient methods for detecting a change will depend on both of these…

Machine Learning · Statistics 2024-08-29 Jie Li , Paul Fearnhead , Piotr Fryzlewicz , Tengyao Wang

Detectability of failures of linear programming (LP) decoding and its potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the LP problem. In this paper, we make a…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi N. , Paul H. Siegel

Identification of functional elements of a genome often requires dividing a sequence of measurements along a genome into segments differing from adjacent segments. In many applications, the mean of the measured values at multiple genomic…

Applications · Statistics 2015-06-30 S. B. Girimurugan , Jonathan Dennis , Jinfeng Zhang

The concept of homogeneity plays a critical role in statistics, both in its applications as well as its theory. Change point analysis is a statistical tool that aims to attain homogeneity within time series data. This is accomplished…

Methodology · Statistics 2015-05-19 Nicholas A. James , David S. Matteson

We propose an algorithm for simultaneously detecting and locating changepoints in a time series, and a framework for predicting the distribution of the next point in the series. The kernel of the algorithm is a system of equations that…

Applications · Statistics 2008-12-09 Allen B. Downey

Detectability of failures of linear programming (LP) decoding and the potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the underlying LP problem. In this paper, we…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi , Paul H. Siegel

Sequence segmentation is a well-studied problem, where given a sequence of elements, an integer K, and some measure of homogeneity, the task is to split the sequence into K contiguous segments that are maximally homogeneous. A classic…

Data Structures and Algorithms · Computer Science 2019-02-12 Nikolaj Tatti

We call change-point problem (CPP) the identification of changes in the probabilistic behavior of a sequence of observations. Solving the CPP involves detecting the number and position of such changes. In genetics the study of how and what…

Applications · Statistics 2017-01-18 Murilo S. Pinheiro , Benilton S. Carvalho , Aluísio S. Pinheiro

Identifying changes in the generative process of sequential data, known as changepoint detection, has become an increasingly important topic for a wide variety of fields. A recently developed approach, which we call EXact Online Bayesian…

Machine Learning · Statistics 2018-10-16 Michael Byrd , Linh Nghiem , Jing Cao

The detection of change-points in a spatially or time ordered data sequence is an important problem in many fields such as genetics and finance. We derive the asymptotic distribution of a statistic recently suggested for detecting…

Statistics Theory · Mathematics 2015-10-01 Gérard Biau , Kevin Bleakley , David Mason
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