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Point set registration is a key component in many computer vision tasks. The goal of point set registration is to assign correspondences between two sets of points and to recover the transformation that maps one point set to the other.…

计算机视觉与模式识别 · 计算机科学 2010-11-09 Andriy Myronenko , Xubo Song

Dynamic networks are ubiquitous for modelling sequential graph-structured data, e.g., brain connectome, population flows and messages exchanges. In this work, we consider dynamic networks that are temporal sequences of graph snapshots, and…

机器学习 · 统计学 2022-03-30 Deborah Sulem , Henry Kenlay , Mihai Cucuringu , Xiaowen Dong

High-dimensional changepoint analysis is a growing area of research and has applications in a wide range of fields. The aim is to accurately and efficiently detect changepoints in time series data when both the number of time points and…

统计方法学 · 统计学 2020-04-01 Thomas Grundy , Rebecca Killick , Gueorgui Mihaylov

We propose two procedures to detect a change in the mean of high-dimensional online data. One is based on a max-type U-statistic and another is based on a sum-type U-statistic. Theoretical properties of the two procedures are explored in…

统计方法学 · 统计学 2021-07-27 Jun Li

Remote sensing change detection is crucial for understanding the dynamics of our planet's surface, facilitating the monitoring of environmental changes, evaluating human impact, predicting future trends, and supporting decision-making. In…

计算机视觉与模式识别 · 计算机科学 2024-01-15 Wele Gedara Chaminda Bandara , Nithin Gopalakrishnan Nair , Vishal M. Patel

In this paper, we study change-point testing for high-dimensional linear models, an important problem that has not been well explored in the literature. Specifically, we propose a quadratic-form cumulative sum (CUSUM) statistic to test the…

统计理论 · 数学 2024-10-23 Zifeng Zhao , Xiaokai Luo , Zongge Liu , Daren Wang

We consider the online monitoring of multivariate streaming data for changes that are characterized by an unknown subspace structure manifested in the covariance matrix. In particular, we consider the covariance structure changes from an…

统计理论 · 数学 2021-04-12 Liyan Xie , Yao Xie , George V. Moustakides

We propose a family of weighted statistics based on the CUSUM process of the WLS residuals for the online detection of changepoints in a Random Coefficient Autoregressive model, using both the standard CUSUM and the Page-CUSUM process. We…

统计方法学 · 统计学 2025-03-12 Lajos Horváth , Lorenzo Trapani

This paper presents the first certifiably correct algorithm for distributed pose-graph optimization (PGO), the backbone of modern collaborative simultaneous localization and mapping (CSLAM) and camera network localization (CNL) systems. Our…

最优化与控制 · 数学 2021-05-20 Yulun Tian , Kasra Khosoussi , David M. Rosen , Jonathan P. How

We investigate the online detection of changepoints in the distribution of a sequence of observations using degenerate U-statistic-type processes. We study weighted versions of: an ordinary, CUSUM-type scheme, a Page-CUSUM-type scheme, and…

统计理论 · 数学 2025-10-28 Cooper Boniece , Lajos Horvath , Lorenzo Trapani

Over the past few years, symmetric positive definite (SPD) matrices have been receiving considerable attention from computer vision community. Though various distance measures have been proposed in the past for comparing SPD matrices, the…

计算机视觉与模式识别 · 计算机科学 2015-01-13 Raviteja Vemulapalli , David W. Jacobs

We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations,…

统计方法学 · 统计学 2015-02-18 Hao Chen , Nancy Zhang

In this paper easily applicable techniques are devised for detecting changepoints in autocorrelated Gaussian sequences. Our method proceeds by sequential evaluation of a CUSUM-type test statistic, which is compared to a predefined…

概率论 · 数学 2016-02-09 W. Ellens , J. Kuhn , M. Mandjes , P. Żuraniewski

In this paper, we study statistical inference of change-points (CPs) in multi-dimensional sequence. In CP detection from a multi-dimensional sequence, it is often desirable not only to detect the location, but also to identify the subset of…

机器学习 · 统计学 2021-10-19 Ryota Sugiyama , Hiroki Toda , Vo Nguyen Le Duy , Yu Inatsu , Ichiro Takeuchi

Changepoint models typically assume the data within each segment are independent and identically distributed conditional on some parameters which change across segments. This construction may be inadequate when data are subject to local…

统计方法学 · 统计学 2021-11-10 Karl L. Hallgren , Nicholas A. Heard , Niall M. Adams

We propose a novel approach for detecting change points in high-dimensional linear regression models. Unlike previous research that relied on strict Gaussian/sub-Gaussian error assumptions and had prior knowledge of change points, we…

统计方法学 · 统计学 2024-05-22 Bin Liu , Zhengling Qi , Xinsheng Zhang , Yufeng Liu

This paper investigates a novel offline change-point detection problem from an information-theoretic perspective. In contrast to most related works, we assume that the knowledge of the underlying pre- and post-change distributions are not…

信息论 · 计算机科学 2021-10-05 Haiyun He , Qiaosheng Zhang , Vincent Y. F. Tan

Riemannian metric learning is an emerging field in machine learning, unlocking new ways to encode complex data structures beyond traditional distance metric learning. While classical approaches rely on global distances in Euclidean space,…

机器学习 · 统计学 2025-10-01 Samuel Gruffaz , Josua Sassen

High dimensional piecewise stationary graphical models represent a versatile class for modelling time varying networks arising in diverse application areas, including biology, economics, and social sciences. There has been recent work in…

机器学习 · 统计学 2018-06-21 Hossein Keshavarz , George Michailidis , Yves Atchade

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…

统计理论 · 数学 2023-06-05 Haoyun Wang , Yao Xie