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We study the evolution of networks when the creation and decay of links are based on the position of nodes in the network measured by their centrality. We show that the same network dynamics arises under various centrality measures, and…

Physics and Society · Physics 2013-05-29 Michael D. Koenig , Claudio J. Tessone

A very popular class of models for networks posits that each node is represented by a point in a continuous latent space, and that the probability of an edge between nodes is a decreasing function of the distance between them in this latent…

Statistics Theory · Mathematics 2025-01-07 Cosma Rohilla Shalizi , Dena Marie Asta

Network classification has a variety of applications, such as detecting communities within networks and finding similarities between those representing different aspects of the real world. However, most existing work in this area focus on…

Social and Information Networks · Computer Science 2018-08-08 Kun Tu , Jian Li , Don Towsley , Dave Braines , Liam D. Turner

This paper studies structured node classification on graphs, where the predictions should consider dependencies between the node labels. In particular, we focus on solving the problem for partially labeled graphs where it is essential to…

Machine Learning · Computer Science 2023-06-21 Hyosoon Jang , Seonghyun Park , Sangwoo Mo , Sungsoo Ahn

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

Methodology · Statistics 2016-06-23 Catherine Matias , Vincent Miele

Advanced graph neural networks have shown great potentials in graph classification tasks recently. Different from node classification where node embeddings aggregated from local neighbors can be directly used to learn node labels, graph…

Machine Learning · Computer Science 2022-03-16 Hao Jia , Junzhong Ji , Minglong Lei

Distribution grids represent the final tier in electric networks consisting of medium and low voltage lines that connect the distribution substations to the end-users. Traditionally, distribution networks have been operated in a radial…

Optimization and Control · Mathematics 2016-03-03 Deepjyoti Deka , Scott Backhaus , Michael Chertkov

Wave propagation through nodes and links of a network forms the basis of spectral graph theory. Nevertheless, the sound emitted by nodes within the resonating chamber formed by a network are not well studied. The sound emitted by vibrations…

Social and Information Networks · Computer Science 2022-11-14 Rami Puzis

This paper proposes a discrimination technique for vertices in a weighted network. We assume that the edge weights and adjacencies in the network are conditionally independent and that both sources of information encode class membership…

Machine Learning · Statistics 2019-06-10 Hayden Helm , Joshua Vogelstein , Carey Priebe

We consider the problem of estimating the latent structure of a social network based on the observed information diffusion events, or cascades, where the observations for a given cascade consist of only the timestamps of infection for…

Machine Learning · Statistics 2020-03-27 Ming Yu , Varun Gupta , Mladen Kolar

Quantifying predictive uncertainty of neural networks has recently attracted increasing attention. In this work, we focus on measuring uncertainty of graph neural networks (GNNs) for the task of node classification. Most existing GNNs model…

Machine Learning · Computer Science 2023-04-04 Zhao Xu , Carolin Lawrence , Ammar Shaker , Raman Siarheyeu

We consider the problem of learning classifiers for labeled data that has been distributed across several nodes. Our goal is to find a single classifier, with small approximation error, across all datasets while minimizing the communication…

Machine Learning · Statistics 2012-03-06 Hal Daume , Jeff M. Phillips , Avishek Saha , Suresh Venkatasubramanian

Attributed network embedding has attracted plenty of interest in recent years. It aims to learn task-independent, low-dimensional, and continuous vectors for nodes preserving both topology and attribute information. Most of the existing…

Machine Learning · Computer Science 2020-11-03 Xueyan Liu , Bo Yang , Wenzhuo Song , Katarzyna Musial , Wanli Zuo , Hongxu Chen , Hongzhi Yin

In many real-world networks, the rates of node and link addition are time dependent. This observation motivates the definition of accelerating networks. There has been relatively little investigation of accelerating networks and previous…

Physics and Society · Physics 2009-10-08 David M. D. Smith , Jukka-Pekka Onnela , Nick S. Jones

In this paper we present a sufficient condition that guarantees identifiability of linear network dynamic systems exhibiting continuous-time weighted consensus protocols with acyclic structure. Each edge of the underlying network graph…

Systems and Control · Computer Science 2014-12-03 Seyedbehzad Nabavi , Aranya Chakrabortty , Pramod P. Khargonekar

Graphs can model real-world, complex systems by representing entities and their interactions in terms of nodes and edges. To better exploit the graph structure, graph neural networks have been developed, which learn entity and edge…

Machine Learning · Computer Science 2022-06-06 Tong Liu , Yushan Liu , Marcel Hildebrandt , Mitchell Joblin , Hang Li , Volker Tresp

Popular network models such as the mixed membership and standard stochastic block model are known to exhibit distinct geometric structure when embedded into $\mathbb{R}^{d}$ using spectral methods. The resulting point cloud concentrates…

Statistics Theory · Mathematics 2021-10-15 Vinesh Solanki , Patrick Rubin-Delanchy , Ian Gallagher

Graph embedding is a transformation of nodes of a graph into a set of vectors. A~good embedding should capture the graph topology, node-to-node relationship, and other relevant information about the graph, its subgraphs, and nodes. If these…

Social and Information Networks · Computer Science 2022-06-22 Arash Dehghan-Kooshkghazi , Bogumił Kamiński , Łukasz Kraiński , Paweł Prałat , François Théberge

The recent years we have seen the rise of graph neural networks for prediction tasks on graphs. One of the dominant architectures is graph attention due to its ability to make predictions using weighted edge features and not only node…

Machine Learning · Computer Science 2022-10-19 Kimon Fountoulakis , Dake He , Silvio Lattanzi , Bryan Perozzi , Anton Tsitsulin , Shenghao Yang

This paper addresses the problem of traffic prediction in distributed backend systems and proposes a graph neural network based modeling approach to overcome the limitations of traditional models in capturing complex dependencies and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-20 Zhimin Qiu , Feng Liu , Yuxiao Wang , Chenrui Hu , Ziyu Cheng , Di Wu
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