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Detecting abrupt changes in streaming graph signals is relevant in a variety of applications ranging from energy and water supplies, to environmental monitoring. In this paper, we address this problem when anomalies activate localized…

信号处理 · 电气工程与系统科学 2019-10-16 André Ferrari , Cédric Richard , Louis Verduci

The automatic detection of changes or anomalies between multispectral and hyperspectral images collected at different time instants is an active and challenging research topic. To effectively perform change-point detection in multitemporal…

信号处理 · 电气工程与系统科学 2022-11-28 Ricardo Augusto Borsoi , Cédric Richard , André Ferrari , Jie Chen , José Carlos Moreira Bermudez

Graph representations offer powerful and intuitive ways to describe data in a multitude of application domains. Here, we consider stochastic processes generating graphs and propose a methodology for detecting changes in stationarity of such…

机器学习 · 计算机科学 2021-02-11 Daniele Zambon , Cesare Alippi , Lorenzo Livi

We consider the change-point detection problem of deciding, based on noisy measurements, whether an unknown signal over a given graph is constant or is instead piecewise constant over two connected induced subgraphs of relatively low cut…

统计理论 · 数学 2012-06-06 James Sharpnack , Alessandro Rinaldo , Aarti Singh

Given a finite sequence of graphs, e.g., coming from technological, biological, and social networks, the paper proposes a methodology to identify possible changes in stationarity in the stochastic process generating the graphs. In order to…

机器学习 · 统计学 2021-02-11 Daniele Zambon , Cesare Alippi , Lorenzo Livi

We consider the problem of sequential graph topology change-point detection from graph signals. We assume that signals on the nodes of the graph are regularized by the underlying graph structure via a graph filtering model, which we then…

机器学习 · 统计学 2020-10-23 Chiraag Kaushik , T. Mitchell Roddenberry , Santiago Segarra

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

Sequential change-point detection for graphs is a fundamental problem for streaming network data types and has wide applications in social networks and power systems. Given fixed vertices and a sequence of random graphs, the objective is to…

统计理论 · 数学 2021-02-12 Liyan Xie , Yao Xie

Graph learning is the fundamental task of estimating unknown graph connectivity from available data. Typical approaches assume that not only is all information available simultaneously but also that all nodes can be observed. However, in…

机器学习 · 计算机科学 2024-09-16 Andrei Buciulea , Madeline Navarro , Samuel Rey , Santiago Segarra , Antonio G. Marques

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

Consider a heterogeneous data stream being generated by the nodes of a graph. The data stream is in essence composed by multiple streams, possibly of different nature that depends on each node. At a given moment $\tau$, a change-point…

机器学习 · 统计学 2021-10-22 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis

In the regime of change-point detection, a nonparametric framework based on scan statistics utilizing graphs representing similarities among observations is gaining attention due to its flexibility and good performances for high-dimensional…

统计方法学 · 统计学 2021-09-16 Hoseung Song , Hao Chen

An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

机器学习 · 统计学 2016-07-13 Andreas Loukas , Nathanael Perraudin

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

Graphs have become pervasive tools to represent information and datasets with irregular support. However, in many cases, the underlying graph is either unavailable or naively obtained, calling for more advanced methods to its estimation.…

信号处理 · 电气工程与系统科学 2023-03-14 Andrei Buciulea , Antonio G. Marques

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

We consider the detection and localization of change points in the distribution of an offline sequence of observations. Based on a nonparametric framework that uses a similarity graph among observations, we propose new test statistics when…

统计方法学 · 统计学 2021-03-05 Lizhen Nie , Dan L. Nicolae

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

信号处理 · 电气工程与系统科学 2024-09-20 Hector Chahuara , Gonzalo Mateos

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

We propose a novel approach for change-point detection and parameter learning in multivariate non-stationary time series exhibiting oscillatory behaviour. We approximate the process through a piecewise function defined by a sum of…

统计方法学 · 统计学 2026-02-02 Nicolas Bianco , Lorenzo Cappello
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