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Graph embedding based on random-walks supports effective solutions for many graph-related downstream tasks. However, the abundance of embedding literature has made it increasingly difficult to compare existing methods and to identify…

Machine Learning · Computer Science 2021-10-26 Zexi Huang , Arlei Silva , Ambuj Singh

The paper utilizes the graph embeddings generated for entities of a large biomedical database to perform link prediction to capture various new relationships among different entities. A novel node similarity measure is proposed that…

Information Retrieval · Computer Science 2021-11-01 Prakhar Gurawa , Matthias Nickles

We show that the edges crossed by a random walk in a network form a recurrent graph a.s. In fact, the same is true when those edges are weighted by the number of crossings.

Probability · Mathematics 2009-09-29 Itai Benjamini , Ori Gurel-Gurevich , Russell Lyons

Predicting the occurrence of links is a fundamental problem in networks. In the link prediction problem we are given a snapshot of a network and would like to infer which interactions among existing members are likely to occur in the near…

Social and Information Networks · Computer Science 2010-11-19 L. Backstrom , J. Leskovec

We study the properties of discrete-time random walks on networks formed by randomly interconnected cliques, namely, random networks of cliques. Our purpose is to derive the parameters that define the network structure -- specifically, the…

Statistical Mechanics · Physics 2025-04-24 Albano Nannini , Damián Zanette

The shortest-path, commute time, and diffusion distances on undirected graphs have been widely employed in applications such as dimensionality reduction, link prediction, and trip planning. Increasingly, there is interest in using…

Social and Information Networks · Computer Science 2023-07-27 Zachary M. Boyd , Nicolas Fraiman , Jeremy L. Marzuola , Peter J. Mucha , Braxton Osting , Jonathan Weare

The co-occurrence association is widely observed in many empirical data. Mining the information in co-occurrence data is essential for advancing our understanding of systems such as social networks, ecosystem, and brain network. Measuring…

Information Retrieval · Computer Science 2020-07-28 Xiaomeng Wang , Yijun Ran , Tao Jia

Document networks are found in various collections of real-world data, such as citation networks, hyperlinked web pages, and online social networks. A large number of generative models have been proposed because they offer intuitive and…

Physics and Society · Physics 2020-01-22 Takafumi J. Suzuki

A collection of articles on the statistical modelling and inference of social networks is analysed in a network fashion. The references of these articles are used to construct a citation network data set, which is almost a directed acyclic…

Applications · Statistics 2018-10-30 Clement Lee , Darren J Wilkinson

We propose a model of the evolution of the networks of scientific citations. The model takes an out-degree distribution (distribution of number of citations) and two parameters as input. The parameters capture the two main ingredients of…

Physics and Society · Physics 2009-09-15 Zhi-Xi Wu , Petter Holme

Random walks find extensive application across various complex network domains, including embedding generation and link prediction. Despite the widespread utilization of random walks, the precise impact of distinct biases on embedding…

Social and Information Networks · Computer Science 2023-08-08 Adilson Vital , Filipi N. Silva , Diego R. Amancio

Partially-observed network data collected by link-tracing based sampling methods is often being studied to obtain the characteristics of a large complex network. However, little attention has been paid to sampling from directed networks…

Social and Information Networks · Computer Science 2014-05-28 Mostafa Salehi , Hamid R. Rabiee

Over the last two decades, network theory has shown to be a fruitful paradigm in understanding the organization and functioning of real-world complex systems. One technique helpful to this endeavor is identifying functionally influential…

Physics and Society · Physics 2022-01-24 Francesco Picciolo , Franco Ruzzenenti , Petter Holme , Rossana Mastrandrea

This work initiates a systematic investigation of testing high-dimensional structured distributions by focusing on testing Bayesian networks -- the prototypical family of directed graphical models. A Bayesian network is defined by a…

Data Structures and Algorithms · Computer Science 2020-01-28 Clement Canonne , Ilias Diakonikolas , Daniel Kane , Alistair Stewart

Using random walks for sampling has proven advantageous in assessing the characteristics of large and unknown social networks. Several algorithms based on random walks have been introduced in recent years. In the practical application of…

Social and Information Networks · Computer Science 2024-09-18 Tsuyoshi Hasegawa , Shiori Hironaka , Kazuyuki Shudo

We explore link prediction as a proxy for automatically surfacing documents from existing literature that might be topically or contextually relevant to a new document. Our model uses transformer-based graph embeddings to encode the meaning…

Social and Information Networks · Computer Science 2024-03-29 William Watson , Lawrence Yong

Temporal networks, whose links are activated or deactivated over time, are used to represent complex systems such as social interactions or collaborations occurring at specific times. Such networks facilitate the spread of information and…

Social and Information Networks · Computer Science 2025-02-27 Tianrui Mao , Shilun Zhang , Alan Hanjalic , Huijuan Wang

The nodes in a network can be grouped into 'roles' based on similar connection patterns. This is usually achieved by defining a pairwise node similarity matrix and then clustering rows and columns of this matrix. This paper presents a new…

Numerical Analysis · Mathematics 2025-02-19 Dario Fasino

We propose a new method for assessing agents influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify…

Social and Information Networks · Computer Science 2016-10-20 F. Aleskerov , N. Meshcheryakova , S. Shvydun

Graphs and networks provide a canonical representation of relational data, with massive network data sets becoming increasingly prevalent across a variety of scientific fields. Although tools from mathematics and computer science have been…

Methodology · Statistics 2014-08-11 Benjamin P. Olding , Patrick J. Wolfe