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We introduce an axiomatic approach to group recommendations, in line of previous work on the axiomatic treatment of trust-based recommendation systems, ranking systems, and other foundational work on the axiomatic approach to internet…

Social and Information Networks · Computer Science 2017-07-28 Omer Lev , Moshe Tennenholtz

In the last two decades we are witnessing a huge increase of valuable big data structured in the form of graphs or networks. To apply traditional machine learning and data analytic techniques to such data it is necessary to transform graphs…

Machine Learning · Computer Science 2024-03-22 Aleksandar Tomčić , Miloš Savić , Miloš Radovanović

In this paper, we present a novel approach based on the random walk process for finding meaningful representations of a graph model. Our approach leverages the transient behavior of many short random walks with novel initialization…

Social and Information Networks · Computer Science 2018-05-14 Lin Li , William M. Campbell , Rajmonda S. Caceres

InfoMap is a popular approach to detect densely connected "communities" of nodes in networks. To detect such communities, InfoMap uses random walks and ideas from information theory. Motivated by the dynamics of disease spread on networks,…

Social and Information Networks · Computer Science 2024-04-25 Esteban Vargas Bernal , Mason A. Porter , Joseph H. Tien

Characterizing large online social networks (OSNs) through node querying is a challenging task. OSNs often impose severe constraints on the query rate, hence limiting the sample size to a small fraction of the total network. Various ad-hoc…

Social and Information Networks · Computer Science 2013-11-14 Pinghui Wang , Bruno Ribeiro , Junzhou Zhao , John C. S. Lui , Don Towsley , Xiaohong Guan

Many popular measures used in social network analysis, including centrality, are based on the random walk. The random walk is a model of a stochastic process where a node interacts with one other node at a time. However, the random walk may…

Social and Information Networks · Computer Science 2014-03-31 Rumi Ghosh , Kristina Lerman

We present new, more efficient algorithms for estimating random walk scores such as Personalized PageRank from a given source node to one or several target nodes. These scores are useful for personalized search and recommendations on…

Data Structures and Algorithms · Computer Science 2015-12-16 Peter Lofgren

We present a new approach of topology biased random walks for undirected networks. We focus on a one parameter family of biases and by using a formal analogy with perturbation theory in quantum mechanics we investigate the features of…

Statistical Mechanics · Physics 2010-12-09 Vinko Zlatić , Andrea Gabrielli , Guido Caldarelli

Many complex networks display a mesoscopic structure with groups of nodes sharing many links with the other nodes in their group and comparatively few with nodes of different groups. This feature is known as community structure and encodes…

Physics and Society · Physics 2009-07-31 Andrea Lancichinetti , Santo Fortunato

We study random walk with adaptive move strategies on a class of directed graphs with variable wiring diagram. The graphs are grown from the evolution rules compatible with the dynamics of the world-wide Web [Tadi\'c, Physica A {\bf 293},…

Statistical Mechanics · Physics 2009-11-07 Bosiljka Tadic

In real applications of the linear model, the explanatory variables are very often naturally grouped, the most common example being the multivariate variance analysis. In the present paper, a quantile model with structure group is…

Statistics Theory · Mathematics 2019-03-14 Gabriela Ciuperca

Graphlets are induced subgraph patterns that are crucial to the understanding of the structure and function of a large network. A lot of efforts have been devoted to calculating graphlet statistics where random walk based approaches are…

Social and Information Networks · Computer Science 2020-05-12 Simiao Jiao , Zihui Xue , Xiaowei Chen , Yuedong Xu

Random walks play an important role in probing the structure of complex networks. On traditional networks, they can be used to extract community structure, understand node centrality, perform link prediction, or capture the similarity…

Physics and Society · Physics 2024-06-13 Shazia'Ayn Babul , Yu Tian , Renaud Lambiotte

Node embedding is a powerful approach for representing the structural role of each node in a graph. $\textit{Node2vec}$ is a widely used method for node embedding that works by exploring the local neighborhoods via biased random walks on…

Social and Information Networks · Computer Science 2022-05-17 Renming Liu , Matthew Hirn , Arjun Krishnan

Group activities are important behaviors in human society, providing personalized recommendations for groups is referred to as the group recommendation task. Existing methods can usually be categorized into two strategies to infer group…

Information Retrieval · Computer Science 2024-09-05 Jinfeng Xu , Zheyu Chen , Jinze Li , Shuo Yang , Hewei Wang , Edith C. -H. Ngai

We propose a model of random walks on weighted graphs where the weights are interval valued, and connect it to reversible imprecise Markov chains. While the theory of imprecise Markov chains is now well established, this is a first attempt…

Optimization and Control · Mathematics 2016-09-20 Damjan Škulj

Community search in attributed networks poses a dual challenge: balancing structural connectivity -- the network's topological properties -- and attribute similarity -- the shared characteristics of nodes. This paper introduces a novel…

Social and Information Networks · Computer Science 2025-10-28 Nikolaos Georgiadis , Eleftherios Tiakas , Apostolos N. Papadopoulos

Nominal assortativity (or discrete assortativity) is widely used to characterize group mixing patterns and homophily in networks, enabling researchers to analyze how groups interact with one another. Here we demonstrate that the measure…

Physics and Society · Physics 2023-09-06 Fariba Karimi , Marcos Oliveira

Most existing personalization systems promote items that match a user's previous choices or those that are popular among similar users. This results in recommendations that are highly similar to the ones users are already exposed to,…

Social and Information Networks · Computer Science 2021-02-26 Bibek Paudel , Abraham Bernstein

Graphs are useful structures that can model several important real-world problems. Recently, learning graphs have drawn considerable attention, leading to the proposal of new methods for learning these data structures. One of these studies…

Machine Learning · Computer Science 2020-01-07 Amir Jalilifard , Vinicius Caridá , Alex Mansano , Rogers Cristo