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We propose a family of CUSUM-based statistics to detect the presence of changepoints in the deterministic part of the autoregressive parameter in a Random Coefficient AutoRegressive (RCA) sequence. In order to ensure the ability to detect…

统计理论 · 数学 2021-04-29 Lajos Horvath , Lorenzo Trapani

Changepoint detection methods are used in many areas of science and engineering, e.g., in the analysis of copy number variation data, to detect abnormalities in copy numbers along the genome. Despite the broad array of available tools,…

统计方法学 · 统计学 2018-12-11 Sangwon Hyun , Kevin Lin , Max G'Sell , Ryan J. Tibshirani

This paper presents an innovative approach to dimensionality reduction and feature extraction in high-dimensional datasets, with a specific application focus on wood surface defect detection. The proposed framework integrates sparse…

机器学习 · 计算机科学 2024-10-01 Harish Neelam , Koushik Sai Veerella , Souradip Biswas

Recent studies on Visual Autoregressive (VAR) models have highlighted that high-frequency components, or later steps, in the generation process contribute disproportionately to inference latency. However, the underlying computational…

计算机视觉与模式识别 · 计算机科学 2025-07-11 Jiajun Li , Yue Ma , Xinyu Zhang , Qingyan Wei , Songhua Liu , Linfeng Zhang

Given a times series ${\bf Y}$ in $\mathbb{R}^n$, with a piece-wise contant mean and independent components, the twin problems of change-point detection and change-point localization respectively amount to detecting the existence of times…

Change point detection algorithms have numerous applications in fields of scientific and economic importance. We consider the problem of change point detection on compositional multivariate data (each sample is a probability mass function),…

应用统计 · 统计学 2019-01-16 Prabuchandran K. J. , Nitin Singh , Pankaj Dayama , Vinayaka Pandit

We study the multivariate nonparametric change point detection problem, where the data are a sequence of independent $p$-dimensional random vectors whose distributions are piecewise-constant with Lipschitz densities changing at unknown…

统计理论 · 数学 2020-06-26 Oscar Hernan Madrid Padilla , Yi Yu , Daren Wang , Alessandro Rinaldo

Change point estimation in its offline version is traditionally performed by optimizing over the data set of interest, by considering each data point as the true location parameter and computing a data fit criterion. Subsequently, the data…

统计方法学 · 统计学 2020-04-10 Zhiyuan Lu , Moulinath Banerjee , George Michailidis

We study low-rank matrix regression in settings where matrix-valued predictors and scalar responses are observed across multiple individuals. Rather than assuming a fully homogeneous coefficient matrices across individuals, we accommodate…

统计方法学 · 统计学 2025-10-28 Di Wang , Xiaoyu Zhang , Guodong Li , Wenyang Zhang

In this paper, we propose first a mmWave channel tracking algorithm based on multidimensional orthogonal matching pursuit algorithm (MOMP) using reduced sparsifying dictionaries, which exploits information from channel estimates in previous…

信号处理 · 电气工程与系统科学 2023-08-29 Yun Chen , Nuria González-Prelcic , Takayuki Shimizu , Hongshen Lu , Chinmay Mahabal

We reinterpret Visual Autoregressive (VAR) models as iterative refinement models to identify which design choices drive their quality-efficiency trade-off. Instead of treating VAR only as next-scale autoregression, we formalise it as a…

机器学习 · 计算机科学 2026-02-17 Steve Hong , Samuel Belkadi

Detecting changepoints in datasets with many variates is a data science challenge of increasing importance. Motivated by the problem of detecting changes in the incidence of terrorism from a global terrorism database, we propose a novel…

统计方法学 · 统计学 2021-03-30 S. O. Tickle , I. A. Eckley , P. Fearnhead

Visual AutoRegressive (VAR) models based on next-scale prediction enable efficient hierarchical generation, yet the inference cost grows quadratically at high resolutions. We observe that the computationally intensive later scales…

计算机视觉与模式识别 · 计算机科学 2026-03-03 Keli Liu , Zhendong Wang , Wengang Zhou , Houqiang Li

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…

统计方法学 · 统计学 2025-07-14 Vincent Runge , Charles Truong , Simon Querné

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…

统计方法学 · 统计学 2023-03-13 Solt Kovács , Housen Li , Peter Bühlmann , Axel Munk

This paper considers the problem of identifying multivariate autoregressive (AR) sparse plus low-rank graphical models. Based on the corresponding problem formulation recently presented, we use the alternating direction method of…

机器学习 · 计算机科学 2015-03-31 Raphaël Liégeois , Bamdev Mishra , Mattia Zorzi , Rodolphe Sepulchre

Large volumes of spatiotemporal data, characterized by high spatial and temporal variability, may experience structural changes over time. Unlike traditional change-point problems, each sequence in this context consists of function-valued…

统计方法学 · 统计学 2025-06-12 Fengyi Song , Decai Liang , Changliang Zou

Change detection involves segmenting sequential data such that observations in the same segment share some desired properties. Multivariate change detection continues to be a challenging problem due to the variety of ways change points can…

统计方法学 · 统计学 2018-10-16 Wenyu Zhang , Daniel Gilbert , David Matteson

We introduce smallest valid partitioning (SVP), a segmentation method for multiple change-point detection in time-series. SVP relies on a local notion of segment validity: a candidate segment is retained only if it passes a user-chosen…

统计方法学 · 统计学 2026-02-05 Vincent Runge , Anica Kostic , Alexandre Combeau , Gaetano Romano

Modern multiscale type segmentation methods are known to detect multiple change-points with high statistical accuracy, while allowing for fast computation. Underpinning theory has been developed mainly for models that assume the signal as a…

统计理论 · 数学 2019-09-26 Housen Li , Qinghai Guo , Axel Munk
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