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We consider a network topology design problem in which an initial undirected graph underlying the network is given and the objective is to select a set of edges to add to the graph to optimize the coherence of the resulting network. We show…

Optimization and Control · Mathematics 2014-11-19 Tyler Summers , Iman Shames , John Lygeros , Florian Dörfler

Existing network embedding approaches tackle the problem of learning low-dimensional node representations. However, networks can also be seen in the light of edges interlinking pairs of nodes. The broad goal of this paper is to introduce…

Social and Information Networks · Computer Science 2020-11-12 Giuseppe Pirrò

Link prediction is a key aspect of graph machine learning, with applications as diverse as disease prediction, social network recommendations, and drug discovery. It involves predicting new links that may form between network nodes. Despite…

Machine Learning · Computer Science 2023-09-12 Haohui Lu , Shahadat Uddin

This paper considers the distributed optimization problem where each node of a peer-to-peer network minimizes a finite sum of objective functions by communicating with its neighboring nodes. In sharp contrast to the existing literature…

Optimization and Control · Mathematics 2022-01-17 Jiaqi Zhang , Keyou You , Tamer Başar

Geometric scattering has recently gained recognition in graph representation learning, and recent work has shown that integrating scattering features in graph convolution networks (GCNs) can alleviate the typical oversmoothing of features…

Machine Learning · Computer Science 2022-01-20 Yimeng Min , Frederik Wenkel , Guy Wolf

We formulate weighted graph clustering as a prediction problem: given a subset of edge weights we analyze the ability of graph clustering to predict the remaining edge weights. This formulation enables practical and theoretical comparison…

Machine Learning · Computer Science 2010-09-03 Yevgeny Seldin

This paper addresses the challenging problem of retrieval and matching of graph structured objects, and makes two key contributions. First, we demonstrate how Graph Neural Networks (GNN), which have emerged as an effective model for various…

Machine Learning · Computer Science 2019-05-14 Yujia Li , Chenjie Gu , Thomas Dullien , Oriol Vinyals , Pushmeet Kohli

As the shortcomings of our current Internet become more and more obvious, researchers have started creating alternative approaches for the Internet of the future. Their design goals are mainly content-orientation, security, support for…

Cryptography and Security · Computer Science 2016-01-14 Roman Lutz

Nowadays, Software Defined Network (SDN) architectures and applications are revolutionizing the way wired networks are built and operate. However, little is known about the potential of this disruptive technology in wireless mobile…

Networking and Internet Architecture · Computer Science 2017-06-20 Konstantinos Poularakis , Qiaofeng Qin , Erich Nahum , Miguel Rio , Leandros Tassiulas

We consider a variety of NP-Complete network connectivity problems. We introduce a novel dual-based approach to approximating network design problems with cut-based linear programming relaxations. This approach gives a $3/2$-approximation…

Data Structures and Algorithms · Computer Science 2017-07-24 Benjamin Grimmer

Organizations face a challenge of accurately analyzing network data and providing automated action based on the observed trend. This trend-based analytics is beneficial to minimize the downtime and improve the performance of the network…

Networking and Internet Architecture · Computer Science 2019-04-24 Ankur Jain , Arohi Gupta , Ashutosh Gupta , Dewang Gedia , Leidy Pérez , Levi Perigo , Rahil Gandotra , Sanjay Murthy

Graph matching can be formalized as a combinatorial optimization problem, where there are corresponding relationships between pairs of nodes that can be represented as edges. This problem becomes challenging when there are potential…

Computer Vision and Pattern Recognition · Computer Science 2023-01-06 Dongdong Chen , Yuxing Dai , Lichi Zhang , Zhihong Zhang

We employ the mathematical programming approach in conjunction with the graph theory to study the structure of correspondent banking networks. Optimizing the network requires decisions to be made to onboard, terminate or restrict the bank…

Machine Learning · Computer Science 2019-12-09 Nima Safaei , Ivan A. Sergienko

Graph neural networks (GNNs) have been regarded as the basic model to facilitate deep learning (DL) to revolutionize resource allocation in wireless networks. GNN-based models are shown to be able to learn the structural information about…

Signal Processing · Electrical Eng. & Systems 2024-09-06 Yang Lu , Yuhang Li , Ruichen Zhang , Wei Chen , Bo Ai , Dusit Niyato

Centrality is a fundamental concept in network science, providing critical insights into the structure and dynamics of complex systems such as social, transportation, biological and financial networks. Despite its extensive use, there is no…

Social and Information Networks · Computer Science 2025-11-21 Sergey Shvydun

In recent years, there has been a surge in applying deep learning to various challenging design problems in communication networks. The early attempts adopt neural architectures inherited from applications such as computer vision, which…

Information Theory · Computer Science 2022-03-22 Yifei Shen , Jun Zhang , Khaled B. Letaief

Robustness estimation is critical for the design and maintenance of resilient networks, one of the global challenges of the 21st century. Existing studies exploit network metrics to generate attack strategies, which simulate intentional…

Social and Information Networks · Computer Science 2016-08-16 Sebastian Wandelt , Xiaoqian Sun

EDA problems are graph-structured, but not all graph-structured problems call for the same GNN computation. We argue that successful GNN-for-EDA methods are those whose propagation, aggregation, and supervision align with the native algebra…

Machine Learning · Computer Science 2026-05-12 Hyunmog Kim

We study augmenting a plane Euclidean network with a segment, called a shortcut, to minimize the largest distance between any two points along the edges of the resulting network. Problems of this type have received considerable attention…

Computational Geometry · Computer Science 2018-07-27 Delia Garijo , Alberto Márquez , Natalia Rodríguez , Rodrigo I. Silveira

Graph convolutional networks (GCNs) update a node's feature vector by aggregating features from its neighbors in the graph. This ignores potentially useful contributions from distant nodes. Identifying such useful distant contributions is…

Artificial Intelligence · Computer Science 2020-03-03 Hesham Mostafa , Marcel Nassar