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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

Whilst there are many approaches to detecting changes in mean for a univariate time-series, the problem of detecting multiple changes in slope has comparatively been ignored. Part of the reason for this is that detecting changes in slope is…

Computation · Statistics 2017-02-06 Robert Maidstone , Paul Fearnhead , Adam Letchford

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

Fixed-Point-Oriented Programming (FPOP) is an emerging paradigm designed to streamline the implementation of problems involving self-referential computations. These include graph algorithms, static analysis, parsing, and distributed…

Programming Languages · Computer Science 2025-07-30 Yong Qi Foo , Brian Sze-Kai Cheong , Michael D. Adams

In a world with data that change rapidly and abruptly, it is important to detect those changes accurately. In this paper we describe an R package implementing a generalized version of an algorithm recently proposed by Hocking et al. [2020]…

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

In the multiple changepoint setting, various search methods have been proposed which involve optimising either a constrained or penalised cost function over possible numbers and locations of changepoints using dynamic programming. Such…

Computation · Statistics 2014-12-12 Kaylea Haynes , Idris A. Eckley , Paul Fearnhead

In this paper we build on an approach proposed by Zou et al. (2014) for nonpara- metric changepoint detection. This approach defines the best segmentation for a data set as the one which minimises a penalised cost function, with the cost…

Computation · Statistics 2016-02-04 Kaylea Haynes , Paul Fearnhead , Idris A. Eckley

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

We tackle the challenge of detecting multiple change points in large time series by optimising a penalised likelihood derived from exponential family models. Dynamic programming algorithms can solve this task exactly with at most quadratic…

Methodology · Statistics 2025-07-14 Vincent Runge , Charles Truong , Simon Querné

Changepoint detection is a technique used to identify significant shifts in sequences and is widely used in fields such as finance, genomics, and medicine. To identify the changepoints, dynamic programming (DP) algorithms, particularly…

Machine Learning · Statistics 2025-07-29 Tung L Nguyen , Toby Dylan Hocking

Large foundation models (LFMs) achieve strong performance through scaling, yet current structural pruning methods derive fixed pruning decisions during inference, overlooking sparsity patterns that emerge in the autoregressive token…

Artificial Intelligence · Computer Science 2026-02-09 Yi Chen , Wonjin Shin , Shuhong Liu , Tho Mai , Jeongmo Lee , Chuanbo Hua , Kun Wang , Jun Liu , Joo-Young Kim

A change point problem occurs in many statistical applications. If there exist change points in a model, it is harmful to make a statistical analysis without any consideration of the existence of the change points and the results derived…

Methodology · Statistics 2011-01-24 Xiaoping Shi , Yuehua Wu , Baisuo Jin

For the cascaded planning and control modules implemented for robot navigation, the frequency gap between the planner and controller has received limited attention. In this study, we introduce a novel B-spline parameterized…

Robotics · Computer Science 2024-04-02 Chuyuan Tao , Sheng Cheng , Yang Zhao , Fanxin Wang , Naira Hovakimyan

We develop simple and general techniques to obtain faster (near-linear time) static approximation algorithms, as well as efficient dynamic data structures, for four fundamental geometric optimization problems: minimum piercing set (MPS),…

Computational Geometry · Computer Science 2024-07-31 Sujoy Bhore , Timothy M. Chan

Changepoint detection identifies significant shifts in data sequences, making it important in areas like finance, genetics, and healthcare. The Optimal Partitioning algorithms efficiently detect these changes, using a penalty parameter to…

Machine Learning · Computer Science 2025-10-07 Tung L Nguyen , Toby Hocking

Let a polytope $P$ be defined by a system $A x \leq b$. We consider the problem of counting the number of integer points inside $P$, assuming that $P$ is $\Delta$-modular, where the polytope $P$ is called $\Delta$-modular if all the rank…

Computational Complexity · Computer Science 2023-05-09 D. V. Gribanov , D. S. Malyshev

This master thesis introduces the idea of dynamic cutoffs in molecular dynamics simulations, based on the distance between particles and the interface, and presents a solution for detecting interfaces in real-time. Our dynamic cutoff method…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-12 Paul Springer

This paper describes a new approach for using changepoint detection (CPD) to estimate the starting and stopping times of a forced oscillation (FO) in measured power system data. As with a previous application of CPD to this problem, the…

Signal Processing · Electrical Eng. & Systems 2026-02-10 Luke Dosiek , Akaash Karn , Frank Liu

Large Language Models (LLMs) and Vision-Language Models (VLMs) have demonstrated remarkable capabilities. However, their deployment is hindered by significant computational costs. Existing structured pruning methods, while…

Computation and Language · Computer Science 2026-04-17 Junhui He , Zhihui Fu , Jun Wang , Qingan Li
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