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Graph Neural Network (GNN) has demonstrated extraordinary performance in classifying graph properties. However, due to the selection bias of training and testing data (e.g., training on small graphs and testing on large graphs, or training…

Machine Learning · Computer Science 2023-08-17 Bin Lu , Xiaoying Gan , Ze Zhao , Shiyu Liang , Luoyi Fu , Xinbing Wang , Chenghu Zhou

Graph-level anomaly detection has become a critical topic in diverse areas, such as financial fraud detection and detecting anomalous activities in social networks. While most research has focused on anomaly detection for visual data such…

Machine Learning · Computer Science 2022-08-05 Chen Qiu , Marius Kloft , Stephan Mandt , Maja Rudolph

Detecting anomalous behavior in dynamic networks remains a constant challenge. This problem is further exacerbated when the underlying topology of these networks is affected by individual highly-dimensional node attributes. We address this…

Social and Information Networks · Computer Science 2024-07-10 Emiliano Penaloza , Nathaniel Stevens

This paper introduces a new methodology for detecting anomalies in time series data, with a primary application to monitoring the health of (micro-) services and cloud resources. The main novelty in our approach is that instead of modeling…

Machine Learning · Computer Science 2020-07-31 Fadhel Ayed , Lorenzo Stella , Tim Januschowski , Jan Gasthaus

Community detection in graphs has many important and fundamental applications including in distributed systems, compression, image segmentation, divide-and-conquer graph algorithms such as nested dissection, document and word clustering,…

Social and Information Networks · Computer Science 2019-06-18 Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

This paper studies the unsupervised change point detection problem in time series of networks using the Separable Temporal Exponential-family Random Graph Model (STERGM). Inherently, dynamic network patterns are complex due to dyadic and…

Methodology · Statistics 2025-09-01 Yik Lun Kei , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla

In contemporary data analysis, it is increasingly common to work with non-stationary complex data sets. These data sets typically extend beyond the classical low-dimensional Euclidean space, making it challenging to detect shifts in their…

Methodology · Statistics 2025-07-29 Rohit Kanrar , Feiyu Jiang , Zhanrui Cai

We study the problem of detecting and localizing multiple changes in the mean parameter of a Banach space-valued time series. The goal is to construct a collection of narrow confidence intervals, each containing at least one (or exactly…

Statistics Theory · Mathematics 2025-11-11 Tim Kutta , Holger Dette , Shixuan Wang

A novel approach is suggested for improving the accuracy of fault detection in distribution networks. This technique combines adaptive probability learning and waveform decomposition to optimize the similarity of features. Its objective is…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Xinliang Ma , Weihua Liu , Bingying Jin

A $t$-spanner of an undirected $n$-vertex graph $G$ is a sparse subgraph $H$ of $G$ that preserves all pairwise distances between its vertices to within multiplicative factor $t$, also called the \emph{stretch}. We investigate the problem…

Data Structures and Algorithms · Computer Science 2026-01-29 Julia Chuzhoy , Merav Parter

The monitoring and management of high-volume feature-rich traffic in large networks offers significant challenges in storage, transmission and computational costs. The predominant approach to reducing these costs is based on performing a…

Machine Learning · Computer Science 2016-06-16 Tingshan Huang , Harish Sethu , Nagarajan Kandasamy

Graph Convolutional Network (GCN) are widely used in Graph Anomaly Detection (GAD) due to their natural compatibility with graph structures, resulting in significant performance improvements. However, most researchers approach GAD as a…

Machine Learning · Computer Science 2024-11-05 Shelei Li , Yong Chai Tan , Tai Vincent

Gaussian graphical modeling has been widely used to explore various network structures, such as gene regulatory networks and social networks. We often use a penalized maximum likelihood approach with the $L_1$ penalty for learning a…

Methodology · Statistics 2017-06-13 Kei Hirose , Hironori Fujisawa , Jun Sese

Change detection plays an important role in most video-based applications. The first stage is to build appropriate background model, which is now becoming increasingly complex as more sophisticated statistical approaches are introduced to…

Computer Vision and Pattern Recognition · Computer Science 2014-05-27 Dong Liang , Shun'ichi Kaneko

Real-world graphs, such as social networks, financial transactions, and recommendation systems, often demonstrate dynamic behavior. This phenomenon, known as graph stream, involves the dynamic changes of nodes and the emergence and…

Machine Learning · Computer Science 2023-05-16 Yanping Zheng , Zhewei Wei , Jiajun Liu

Graph Laplacians and related nonlinear mappings into low dimensional spaces have been shown to be powerful tools for organizing high dimensional data. Here we consider a data set X in which the graph associated with it changes depending on…

Classical Analysis and ODEs · Mathematics 2015-03-20 Ronald R. Coifman , Matthew J. Hirn

We study the parametric online changepoint detection problem, where the underlying distribution of the streaming data changes from a known distribution to an alternative that is of a known parametric form but with unknown parameters. We…

Statistics Theory · Mathematics 2023-05-22 Liyan Xie , George V. Moustakides , Yao Xie

Anomaly detection is a crucial task in complex distributed systems. A thorough understanding of the requirements and challenges of anomaly detection is pivotal to the security of such systems, especially for real-world deployment. While…

Exploring and detecting community structures hold significant importance in genetics, social sciences, neuroscience, and finance. Especially in graphical models, community detection can encourage the exploration of sets of variables with…

Machine Learning · Statistics 2024-05-17 Dapeng Shi , Tiandong Wang , Zhiliang Ying

This manuscript studies the unsupervised change point detection problem in time series of graphs using a decoder-only latent space model. The proposed framework consists of learnable prior distributions for low-dimensional graph…

Methodology · Statistics 2025-04-18 Yik Lun Kei , Jialiang Li , Hangjian Li , Yanzhen Chen , Oscar Hernan Madrid Padilla
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