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In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

Physics and Society · Physics 2024-02-29 Lucas Böttcher , Mason A. Porter

In network embedding, random walks play a fundamental role in preserving network structures. However, random walk based embedding methods have two limitations. First, random walk methods are fragile when the sampling frequency or the number…

Machine Learning · Computer Science 2018-05-14 Yong Shi , Minglong Lei , Peng Zhang , Lingfeng Niu

Graph augmentation methods play a crucial role in improving the performance and enhancing generalisation capabilities in Graph Neural Networks (GNNs). Existing graph augmentation methods mainly perturb the graph structures, and are usually…

Machine Learning · Computer Science 2024-08-14 Xiangyu Zhao , Zehui Li , Mingzhu Shen , Guy-Bart Stan , Pietro Liò , Yiren Zhao

Weighted graphs are ubiquitous throughout biology, chemistry, and the social sciences, motivating the development of generative models for abstract weighted graph data using deep neural networks. However, most current deep generative models…

Machine Learning · Computer Science 2025-08-01 Richard Williams , Eric Nalisnick , Andrew Holbrook

Network alignment aims to find regions of topological or functional similarities between networks. In computational biology, it can be used to transfer biological knowledge from a well-studied species to a poorly-studied species between…

Molecular Networks · Quantitative Biology 2014-10-21 Joseph Crawford , Tijana Milenković

Sampling a network with a given probability distribution has been identified as a useful operation. In this paper we propose distributed algorithms for sampling networks, so that nodes are selected by a special node, called the…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-09-28 Andrés Sevilla , Alberto Mozo , Antonio Fernández Anta

Inspired by scientific collaboration networks, especially our empirical analysis of the network of econophysicists, an evolutionary model for weighted networks is proposed. Both degree-driven and weight-driven models are considered.…

Disordered Systems and Neural Networks · Physics 2007-05-23 Menghui Li , Jinshan Wu , Dahui Wang , Tao Zhou , Zengru Di , Ying Fan

Detecting communities or the modular structure of real-life networks (e.g. a social network or a product purchase network) is an important task because the way a network functions is often determined by its communities. Traditional…

Social and Information Networks · Computer Science 2020-06-30 Swarup Chattopadhyay , Debasis Ganguly

Attributed graph embedding, which learns vector representations from graph topology and node features, is a challenging task for graph analysis. Recently, methods based on graph convolutional networks (GCNs) have made great progress on this…

Machine Learning · Computer Science 2020-07-06 Ganqu Cui , Jie Zhou , Cheng Yang , Zhiyuan Liu

Most Graph Neural Networks (GNNs) cannot distinguish some graphs or indeed some pairs of nodes within a graph. This makes it impossible to solve certain classification tasks. However, adding additional node features to these models can…

Machine Learning · Computer Science 2022-09-20 Beni Egressy , Roger Wattenhofer

Graph Convolutional Networks (GCNs) gained traction for graph representation learning, with recent attention on improving performance on heterophilic graphs for various real-world applications. The localized feature aggregation in a typical…

Machine Learning · Computer Science 2025-07-30 Garv Kaushik

In this work we propose Lasagne, a methodology to learn locality and structure aware graph node embeddings in an unsupervised way. In particular, we show that the performance of existing random-walk based approaches depends strongly on the…

Social and Information Networks · Computer Science 2017-10-19 Evgeniy Faerman , Felix Borutta , Kimon Fountoulakis , Michael W. Mahoney

Networks evolve continuously over time with the addition, deletion, and changing of links and nodes. Such temporal networks (or edge streams) consist of a sequence of timestamped edges and are seemingly ubiquitous. Despite the importance of…

Machine Learning · Computer Science 2020-07-20 John Boaz Lee , Giang Nguyen , Ryan A. Rossi , Nesreen K. Ahmed , Eunyee Koh , Sungchul Kim

Network embedding is a method to learn low-dimensional representation vectors for nodes in complex networks. In real networks, nodes may have multiple tags but existing methods ignore the abundant semantic and hierarchical information of…

Social and Information Networks · Computer Science 2020-09-25 Junshan Wang , Zhicong Lu , Guojie Song , Yue Fan , Lun Du , Wei Lin

Given an input graph G and a node v in G, homogeneous network embedding (HNE) maps the graph structure in the vicinity of v to a compact, fixed-dimensional feature vector. This paper focuses on HNE for massive graphs, e.g., with billions of…

Social and Information Networks · Computer Science 2020-06-24 Renchi Yang , Jieming Shi , Xiaokui Xiao , Yin Yang , Sourav S. Bhowmick

Network embedding methods aim at learning low-dimensional latent representation of nodes in a network. While achieving competitive performance on a variety of network inference tasks such as node classification and link prediction, these…

Social and Information Networks · Computer Science 2018-09-17 Haochen Chen , Xiaofei Sun , Yingtao Tian , Bryan Perozzi , Muhao Chen , Steven Skiena

Network embedding which encodes all vertices in a network as a set of numerical vectors in accordance with it's local and global structures, has drawn widespread attention. Network embedding not only learns significant features of a…

Physics and Society · Physics 2017-04-20 Weiwei Gu , Li Gong , Xiandao Lou , Jiang Zhang

Network embedding techniques inspired by word2vec represent an effective unsupervised relational learning model. Commonly, by means of a Skip-Gram procedure, these techniques learn low dimensional vector representations of the nodes in a…

Machine Learning · Computer Science 2019-07-23 Pedro Almagro-Blanco , Fernando Sancho-Caparrini

In the real world, networks often contain multiple relationships among nodes, manifested as the heterogeneity of the edges in the networks. We convert the heterogeneous networks into multiple views by using each view to describe a specific…

Social and Information Networks · Computer Science 2021-03-15 Lu Wang , Yu Song , Hong Huang , Fanghua Ye , Xuanhua Shi , Hai Jin

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

Social and Information Networks · Computer Science 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros