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A simple strategy to explore a network is to use a random-walk where the walker jumps from one node to an adjacent node at random. It is known that biasing the random jump, the walker can explore every walk of the same length with equal…

Physics and Society · Physics 2017-09-25 Raul J Mondragon

Dense networks with weighted connections often exhibit a community like structure, where although most nodes are connected to each other, different patterns of edge weights may emerge depending on each node's community membership. We…

Machine Learning · Statistics 2021-05-27 Benjamin Leinwand , Vladas Pipiras

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

Social and Information Networks · Computer Science 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

Node2Vec is a state-of-the-art general-purpose feature learning method for network analysis. However, current solutions cannot run Node2Vec on large-scale graphs with billions of vertices and edges, which are common in real-world…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-02 Dongyan Zhou , Songjie Niu , Shimin Chen

Learning low-dimensional numerical representations from symbolic data, e.g., embedding the nodes of a graph into a geometric space, is an important concept in machine learning. While embedding into Euclidean space is common, recent…

Machine Learning · Computer Science 2024-10-10 Thomas Bläsius , Jean-Pierre von der Heydt , Maximilian Katzmann , Nikolai Maas

Graph Neural Networks (GNNs) have achieved significant success in addressing node classification tasks. However, the effectiveness of traditional GNNs degrades on heterophilic graphs, where connected nodes often belong to different labels…

Machine Learning · Computer Science 2025-11-11 Asela Hevapathige , Asiri Wijesinghe , Ahad N. Zehmakan

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

Random walk based node embedding algorithms learn vector representations of nodes by optimizing an objective function of node embedding vectors and skip-bigram statistics computed from random walks on the network. They have been applied to…

Machine Learning · Statistics 2021-09-13 Christy Lin , Daniel Sussman , Prakash Ishwar

Higher-order proximity preserved network embedding has attracted increasing attention. In particular, due to the superior scalability, random-walk-based network embedding has also been well developed, which could efficiently explore…

Machine Learning · Computer Science 2021-04-08 Jianxin Li , Cheng Ji , Hao Peng , Yu He , Yangqiu Song , Xinmiao Zhang , Fanzhang Peng

We propose a friend recommendation system (an application of link prediction) using edge embeddings on social networks. Most real-world social networks are multi-graphs, where different kinds of relationships (e.g. chat, friendship) are…

Social and Information Networks · Computer Science 2019-02-11 Janu Verma , Srishti Gupta , Debdoot Mukherjee , Tanmoy Chakraborty

We study an intermittent random walk on a random network of scale-free degree distribution. The walk is a combination of simple random walks of duration $t_w$ and random long-range jumps. While the time the walker needs to cover all the…

Disordered Systems and Neural Networks · Physics 2015-06-25 A. Ramezanpour

What are the relations between the edge weights and the topology in real-world graphs? Given only the topology of a graph, how can we assign realistic weights to its edges based on the relations? Several trials have been done for…

Social and Information Networks · Computer Science 2023-07-28 Fanchen Bu , Shinhwan Kang , Kijung Shin

Many online networks are not fully known and are often studied via sampling. Random Walk (RW) based techniques are the current state-of-the-art for estimating nodal attributes and local graph properties, but estimating global properties…

Social and Information Networks · Computer Science 2012-10-02 Maciej Kurant , Carter T. Butts , Athina Markopoulou

Prediction tasks over nodes and edges in networks require careful effort in engineering features used by learning algorithms. Recent research in the broader field of representation learning has led to significant progress in automating…

Social and Information Networks · Computer Science 2016-07-05 Aditya Grover , Jure Leskovec

Graph neural networks (GNNs) are processing architectures that exploit graph structural information to model representations from network data. Despite their success, GNNs suffer from sub-optimal generalization performance given limited…

Machine Learning · Computer Science 2021-06-08 Zhan Gao , Subhrajit Bhattacharya , Leiming Zhang , Rick S. Blum , Alejandro Ribeiro , Brian M. Sadler

Hypergraphs are data structures capable of capturing supra-dyadic relations. We can use them to model binary relations, but also to model groups of entities, as well as the intersections between these groups or the contained subgroups. In…

Information Retrieval · Computer Science 2021-04-13 José Devezas , Sérgio Nunes

Heterogeneous graphs are ubiquitous in real-world applications because they can represent various relationships between different types of entities. Therefore, learning embeddings in such graphs is a critical problem in graph machine…

Machine Learning · Computer Science 2024-04-02 Yue Zhang , Yuntian He , Saket Gurukar , Srinivasan Parthasarathy

For analysing real-world networks, graph representation learning is a popular tool. These methods, such as a graph autoencoder (GAE), typically rely on low-dimensional representations, also called embeddings, which are obtained through…

Machine Learning · Computer Science 2024-02-05 Ruikang Ouyang , Andrew Elliott , Stratis Limnios , Mihai Cucuringu , Gesine Reinert

The creation of social ties is largely determined by the entangled effects of people's similarities in terms of individual characters and friends. However, feature and structural characters of people usually appear to be correlated, making…

Machine Learning · Computer Science 2019-10-30 Sébastien Lerique , Jacob Levy Abitbol , Márton Karsai

In real-world networks, predicting the weight (strength) of links is as crucial as predicting the existence of the links themselves. Previous studies have primarily used shallow graph features for link weight prediction, limiting the…

Social and Information Networks · Computer Science 2024-10-29 Jinbi Liang , Cunlai Pu , Xiangbo Shu , Yongxiang Xia , Chengyi Xia