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How can we detect traffic disturbances from international flight transportation logs or changes to collaboration dynamics in academic networks? These problems can be formulated as detecting anomalous change points in a dynamic graph.…

机器学习 · 计算机科学 2023-05-16 Shenyang Huang , Jacob Danovitch , Guillaume Rabusseau , Reihaneh Rabbany

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…

统计理论 · 数学 2020-12-16 Josua Gösmann , Christina Stoehr , Johannes Heiny , Holger Dette

Detecting changes is of fundamental importance when analyzing data streams and has many applications, e.g., in predictive maintenance, fraud detection, or medicine. A principled approach to detect changes is to compare the distributions of…

机器学习 · 计算机科学 2025-02-13 Florian Kalinke , Marco Heyden , Georg Gntuni , Edouard Fouché , Klemens Böhm

Online change-point detection (OCPD) is important for application in various areas such as finance, biology, and the Internet of Things (IoT). However, OCPD faces major challenges due to high-dimensionality, and it is still rarely studied…

机器学习 · 统计学 2019-06-10 Yang-Wen Sun , Katerina Papagiannouli , Vladmir Spokoiny

Real-time forecasting from streaming data poses critical challenges: handling non-stationary dynamics, operating under strict computational limits, and adapting rapidly without catastrophic forgetting. However, many existing approaches face…

机器学习 · 计算机科学 2025-10-20 Christopher Salazar , Krithika Manohar , Ashis G. Banerjee

The notion of concept drift refers to the phenomenon that the data generating distribution changes over time; as a consequence machine learning models may become inaccurate and need adjustment. In this paper we consider the problem of…

机器学习 · 计算机科学 2022-05-16 Fabian Hinder , André Artelt , Valerie Vaquet , Barbara Hammer

We present a new sublinear time algorithm for approximating the spectral density (eigenvalue distribution) of an $n\times n$ normalized graph adjacency or Laplacian matrix. The algorithm recovers the spectrum up to $\epsilon$ accuracy in…

数据结构与算法 · 计算机科学 2022-04-18 Vladimir Braverman , Aditya Krishnan , Christopher Musco

Detecting abrupt changes in the community structure of a network from noisy observations is a fundamental problem in statistics and machine learning. This paper presents an online change detection algorithm called Spectral-CUSUM to detect…

统计理论 · 数学 2023-03-17 Minghe Zhang , Liyan Xie , Yao Xie

We consider online change detection of high dimensional data streams with sparse changes, where only a subset of data streams can be observed at each sensing time point due to limited sensing capacities. On the one hand, the detection…

机器学习 · 统计学 2020-09-23 Jie Guo , Hao Yan , Chen Zhang , Steven Hoi

We consider detecting change points in the correlation structure of streaming data with minimum assumptions posed on the underlying data distribution. Detection statistics are constructed for dense and sparse change settings, based on…

统计方法学 · 统计学 2026-02-17 Jie Gao , Liyan Xie , Zhaoyuan Li

The aim of online change-point detection is for a accurate, timely discovery of structural breaks. As data dimension outgrows the number of data in observation, online detection becomes challenging. Existing methods typically test only the…

机器学习 · 统计学 2022-03-17 Yang-Wen Sun , Katerina Papagiannouli , Vladimir Spokoiny

A streaming algorithm to compute the spectral proper orthogonal decomposition (SPOD) of stationary random processes is presented. As new data becomes available, an incremental update of the truncated eigenbasis of the estimated…

流体动力学 · 物理学 2019-01-14 Oliver T. Schmidt , Aaron Towne

We present a computationally efficient online kernel Cumulative Sum (CUSUM) method for change-point detection that utilizes the maximum over a set of kernel statistics to account for the unknown change-point location. Our approach exhibits…

统计方法学 · 统计学 2026-01-07 Song Wei , Yao Xie

We introduce a new method for high-dimensional, online changepoint detection in settings where a $p$-variate Gaussian data stream may undergo a change in mean. The procedure works by performing likelihood ratio tests against simple…

统计方法学 · 统计学 2020-10-13 Yudong Chen , Tengyao Wang , Richard J. Samworth

Change detection in dynamic networks is an important problem in many areas, such as fraud detection, cyber intrusion detection and health care monitoring. It is a challenging problem because it involves a time sequence of graphs, each of…

机器学习 · 计算机科学 2019-10-08 Isuru Udayangani Hewapathirana , Dominic Lee , Elena Moltchanova , Jeanette McLeod

We propose a new class of sequential change point tests, both for changes in the mean parameter and in the overall distribution function. The methodology builds on a two-window inspection scheme (TWIN), which aggregates data into symmetric…

统计理论 · 数学 2025-10-14 Patrick Bastian , Tim Kutta

Given a sequence of random (directed and weighted) graphs, we address the problem of online monitoring and detection of changes in the underlying data distribution. Our idea is to endow sequential change-point detection (CPD) techniques…

机器学习 · 计算机科学 2022-02-03 Bernardo Marenco , Paola Bermolen , Marcelo Fiori , Federico Larroca , Gonzalo Mateos

Existing online change-point detection (CPD) methods rely on fixed-dimensional Euclidean summaries, implicitly assuming that distributional changes are well captured by moment-based or feature-based representations. They can obscure…

统计方法学 · 统计学 2026-05-25 Yingyan Zeng , Yujing Huang , Xiaoyu Chen

We consider offline detection of a single changepoint in binary and count time-series. We compare exact tests based on the cumulative sum (CUSUM) and the likelihood ratio (LR) statistics, and a new proposal that combines exact two-sample…

统计方法学 · 统计学 2020-08-21 Shyamal K. De , Soumendu Sundar Mukherjee

We propose a grid-based methodology for online changepoint detection that allows offline changepoint tests to be applied to sequentially observed data. The methodology achieves low update and storage costs by testing for changepoints over a…

统计方法学 · 统计学 2026-03-20 Per August Jarval Moen
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