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We propose a novel approach for distributed statistical detection of change-points in high-volume network traffic. We consider more specifically the task of detecting and identifying the targets of Distributed Denial of Service (DDoS)…

Applications · Statistics 2011-09-22 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

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

The increasing volume of data streams poses significant computational challenges for detecting changepoints online. Likelihood-based methods are effective, but a naive sequential implementation becomes impractical online due to high…

Computation · Statistics 2025-08-08 Liudmila Pishchagina , Gaetano Romano , Paul Fearnhead , Vincent Runge , Guillem Rigaill

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…

Methodology · Statistics 2026-05-25 Yingyan Zeng , Yujing Huang , Xiaoyu Chen

When analysing multiple time series that may be subject to changepoints, it is sometimes possible to specify a priori, by means of a graph, which pairs of time series are likely to be impacted by simultaneous changepoints. This article…

Methodology · Statistics 2023-02-10 Karl L. Hallgren , Nicholas A. Heard , Melissa J. M. Turcotte

This paper develops a unified and computationally efficient method for change-point estimation along the time dimension in a non-stationary spatio-temporal process. By modeling a non-stationary spatio-temporal process as a piecewise…

Methodology · Statistics 2023-10-09 Zifeng Zhao , Ting Fung Ma , Wai Leong Ng , Chun Yip Yau

A common goal in network modeling is to uncover the latent community structure present among nodes. For many real-world networks, the true connections consist of events arriving as streams, which are then aggregated to form edges, ignoring…

Social and Information Networks · Computer Science 2023-10-27 Guanhua Fang , Owen G. Ward , Tian Zheng

In this paper, we introduce two robust, nonparametric methods for multiple change-point detection in the variability of a multivariate sequence of observations. We demonstrate that changes in ranks generated from data depth functions can be…

Methodology · Statistics 2021-11-30 Kelly Ramsay , Shoja'eddin Chenouri

There are many different ways in which change point analysis can be performed, from purely parametric methods to those that are distribution free. The ecp package is designed to perform multiple change point analysis while making as few…

Computation · Statistics 2013-11-26 Nicholas A. James , David S. Matteson

A change point detection (CPD) framework assisted by a predictive machine learning model called "Predict and Compare" is introduced and characterised in relation to other state-of-the-art online CPD routines which it outperforms in terms of…

Machine Learning · Computer Science 2024-06-05 Anna-Christina Glock , Florian Sobieczky , Johannes Fürnkranz , Peter Filzmoser , Martin Jech

High-dimensional streaming data are becoming increasingly ubiquitous in many fields. They often lie in multiple low-dimensional subspaces, and the manifold structures may change abruptly on the time scale due to pattern shift or occurrence…

Machine Learning · Statistics 2022-04-13 Ruiyu Xu , Jianguo Wu , Xiaowei Yue , Yongxiang Li

Standard online change point detection (CPD) methods tend to have large false discovery rates as their detections are sensitive to outliers. To overcome this drawback, we propose Greedy Online Change Point Detection (GOCPD), a…

Signal Processing · Electrical Eng. & Systems 2023-08-15 Jou-Hui Ho , Felipe Tobar

Graph Neural Networks usually rely on the assumption that the graph topology is available to the network as well as optimal for the downstream task. Latent graph inference allows models to dynamically learn the intrinsic graph structure of…

Machine Learning · Computer Science 2023-06-28 Haitz Sáez de Ocáriz Borde , Anees Kazi , Federico Barbero , Pietro Liò

Efficient probability density estimation is a core challenge in statistical machine learning. Tensor-based probabilistic graph methods address interpretability and stability concerns encountered in neural network approaches. However, a…

Machine Learning · Computer Science 2023-12-14 Ruituo Wu , Jiani Liu , Ce Zhu , Anh-Huy Phan , Ivan V. Oseledets , Yipeng Liu

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

We propose TrendSegment, a methodology for detecting multiple change-points corresponding to linear trend changes in one dimensional data. A core ingredient of TrendSegment is a new Tail-Greedy Unbalanced Wavelet transform: a conditionally…

Methodology · Statistics 2023-01-09 Hyeyoung Maeng , Piotr Fryzlewicz

We introduce Markov Random Geometric Graphs (MRGGs), a growth model for temporal dynamic networks. It is based on a Markovian latent space dynamic: consecutive latent points are sampled on the Euclidean Sphere using an unknown Markov…

Machine Learning · Computer Science 2022-03-10 Quentin Duchemin , Yohann de Castro

In multiple change-point problems, different data segments often follow different distributions, for which the changes may occur in the mean, scale or the entire distribution from one segment to another. Without the need to know the number…

Statistics Theory · Mathematics 2014-05-29 Changliang Zou , Guosheng Yin , Long Feng , Zhaojun Wang

The recently introduced locally orderless tensor network (LoTeNet) for supervised image classification uses matrix product state (MPS) operations on grids of transformed image patches. The resulting patch representations are combined back…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Raghavendra Selvan , Silas Ørting , Erik B Dam

The paper introduces the DIverse MultiPLEx Generalized Dot Product Graph (DIMPLE-GDPG) network model where all layers of the network have the same collection of nodes and follow the Generalized Dot Product Graph (GDPG) model. In addition,…

Methodology · Statistics 2023-03-27 Marianna Pensky , Yaxuan Wang