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In complex networks it is common for each node to belong to several communities, implying a highly overlapping community structure. Recent advances in benchmarking indicate that existing community assignment algorithms that are capable of…

Data Analysis, Statistics and Probability · Physics 2015-03-13 Conrad Lee , Fergal Reid , Aaron McDaid , Neil Hurley

Bayesian networks represent relations between variables using a directed acyclic graph (DAG). Learning the DAG is an NP-hard problem and exact learning algorithms are feasible only for small sets of variables. We propose two scalable…

Machine Learning · Computer Science 2021-07-02 Pierre Gillot , Pekka Parviainen

With the rapid development of information technologies, various big graphs are prevalent in many real applications (e.g., social media and knowledge bases). An important component of these graphs is the network community. Essentially, a…

Databases · Computer Science 2019-08-14 Yixiang Fang , Xin Huang , Lu Qin , Ying Zhang , Wenjie Zhang , Reynold Cheng , Xuemin Lin

Social recommendation based on social network has achieved great success in improving the performance of recommendation system. Since social network (user-user relations) and user-item interactions are both naturally represented as…

Information Retrieval · Computer Science 2021-09-27 Yiming Zhang , Lingfei Wu , Qi Shen , Yitong Pang , Zhihua Wei , Fangli Xu , Ethan Chang , Bo Long

Dense subgraph discovery is a fundamental problem in graph mining with a wide range of applications \cite{gionis2015dense}. Despite a large number of applications ranging from computational neuroscience to social network analysis, that take…

Social and Information Networks · Computer Science 2021-12-08 Tianyi Chen , Francesco Bonchi , David Garcia-Soriano , Atsushi Miyauchi , Charalampos E. Tsourakakis

In many real world datasets arising from social networks, there are hidden higher order relations among data points which cannot be captured using graph modeling. It is natural to use a more general notion of hypergraphs to model such…

Machine Learning · Computer Science 2020-10-05 Dong Quan Ngoc Nguyen , Lin Xing

Spatial networks are useful for modeling geographic phenomena where spatial interaction plays an important role. To analyze the spatial networks and their internal structures, graph-based methods such as community detection have been widely…

Social and Information Networks · Computer Science 2024-11-26 Yunlei Liang , Jiawei Zhu , Wen Ye , Song Gao

A deep community in a graph is a connected component that can only be seen after removal of nodes or edges from the rest of the graph. This paper formulates the problem of detecting deep communities as multi-stage node removal that…

Social and Information Networks · Computer Science 2015-10-28 Pin-Yu Chen , Alfred O. Hero

The discovery and analysis of community structure in networks is a topic of considerable recent interest within the physics community, but most methods proposed so far are unsuitable for very large networks because of their computational…

Statistical Mechanics · Physics 2008-04-12 Aaron Clauset , M. E. J. Newman , Cristopher Moore

The relations, rather than the elements, constitute the structure of networks. We therefore develop a systematic approach to the analysis of networks, modelled as graphs or hypergraphs, that is based on structural properties of…

Discrete Mathematics · Computer Science 2020-12-08 Marzieh Eidi , Amirhossein Farzam , Wilmer Leal , Areejit Samal , Jürgen Jost

Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

Physics and Society · Physics 2014-01-16 Michael J. Barber

Accurate modeling of realistic network topologies is essential for evaluating novel Internet solutions. Current topology generators, notably scale-free-based models, fail to capture multiple properties of intra-AS topologies. While…

Networking and Internet Architecture · Computer Science 2024-02-28 Caio Vinicius Dadauto , Nelson Luis Saldanha da Fonseca , Ricardo da Silva Torres

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

Machine Learning · Statistics 2024-05-27 Stephen Smith , Qing Zhou

This study introduces a novel approach for inferring social network structures using Aggregate Relational Data (ARD), addressing the challenge of limited detailed network data availability. By integrating ARD with variational approximation…

Econometrics · Economics 2025-09-04 Xunkang Tian

In this work, we present EAGr, a system for supporting large numbers of continuous neighborhood-based ("ego-centric") aggregate queries over large, highly dynamic, and rapidly evolving graphs. Examples of such queries include computation of…

Databases · Computer Science 2014-04-29 Jayanta Mondal , Amol Deshpande

A (Euclidean) greedy drawing of a graph is a drawing in which, for any two vertices $s,t$ ($s \neq t$), there is a neighbor vertex of $s$ that is closer to $t$ than to $s$ in the Euclidean distance. Greedy drawings are important in the…

Combinatorics · Mathematics 2023-11-29 Hiroyuki Miyata , Reiya Nosaka

Graphs are fundamental data structures which concisely capture the relational structure in many important real-world domains, such as knowledge graphs, physical and social interactions, language, and chemistry. Here we introduce a powerful…

Machine Learning · Computer Science 2018-03-12 Yujia Li , Oriol Vinyals , Chris Dyer , Razvan Pascanu , Peter Battaglia

Many networks can be characterised by the presence of communities, which are groups of units that are closely linked. Identifying these communities can be crucial for understanding the system's overall function. Recently, hypergraphs have…

Social and Information Networks · Computer Science 2024-03-12 Quintino Francesco Lotito , Federico Musciotto , Alberto Montresor , Federico Battiston

Closeness is a widely-used centrality measure in social network analysis. For a node it indicates the reciprocal of the average shortest-path distance to the other nodes of the network. While the identification of the k nodes with highest…

Data Structures and Algorithms · Computer Science 2019-05-16 Elisabetta Bergamini , Tanya Gonser , Henning Meyerhenke

The analysis of the dynamics on complex networks is closely connected to structural features of the networks. Features like, for instance, graph-cores and node degrees have been studied ubiquitously. Here we introduce the D-spectrum of a…

Combinatorics · Mathematics 2019-12-17 Ricky X. F. Chen , Christian M. Reidys , Andrei C. Bura
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