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The problem of finding overlapping communities in networks has gained much attention recently. Optimization-based approaches use non-negative matrix factorization (NMF) or variants, but the global optimum cannot be provably attained in…

Machine Learning · Statistics 2017-06-26 Xueyu Mao , Purnamrita Sarkar , Deepayan Chakrabarti

Community structure detection in complex networks is important since it can help better understand the network topology and how the network works. However, there is still not a clear and widely-accepted definition of community structure,…

Social and Information Networks · Computer Science 2013-05-14 Zhong-Yuan Zhang , Kai-Di Sun , Si-Qi Wang

Joint analysis of data from multiple information repositories facilitates uncovering the underlying structure in heterogeneous datasets. Single and coupled matrix-tensor factorization (CMTF) has been widely used in this context for…

Community detection is a classical problem in the field of graph mining. While most algorithms work on the entire graph, it is often interesting in practice to recover only the community containing some given set of seed nodes. In this…

Social and Information Networks · Computer Science 2016-11-08 Alexandre Hollocou , Thomas Bonald , Marc Lelarge

Several natural phenomena and complex systems are often represented as networks. Discovering their community structure is a fundamental task for understanding these networks. Many algorithms have been proposed, but recently, Graph Neural…

Computation and Language · Computer Science 2023-12-19 Abdelfateh Bekkair , Slimane Bellaouar , Slimane Oulad-Naoui

Community detection plays a crucial role in understanding the structural organization of complex networks. Previous methods, particularly those from statistical physics, primarily focus on the analysis of mesoscopic network structures and…

Social and Information Networks · Computer Science 2025-04-21 Yijun Ran , Junfan Yi , Wei Si , Michael Small , Ke-ke Shang

Overlapping community detection (OCD) is a fundamental graph data analysis task for extracting graph patterns. Traditional OCD methods can be broadly divided into node clustering and link clustering approaches, both of which rely solely on…

Social and Information Networks · Computer Science 2025-08-05 Shaozhen Ma , Hanchen Wang , Dong Wen , Wenjie Zhang , Wei Huang , Ying Zhang

The CANDECOMP/PARAFAC (CP) tensor decomposition is a popular dimensionality-reduction method for multiway data. Dimensionality reduction is often sought after since many high-dimensional tensors have low intrinsic rank relative to the…

Numerical Analysis · Computer Science 2020-03-16 N. Benjamin Erichson , Krithika Manohar , Steven L. Brunton , J. Nathan Kutz

This paper presents a novel spectral algorithm with additive clustering designed to identify overlapping communities in networks. The algorithm is based on geometric properties of the spectrum of the expected adjacency matrix in a random…

Machine Learning · Statistics 2017-11-07 Emilie Kaufmann , Thomas Bonald , Marc Lelarge

Many complex systems in nature and society can be described in terms of networks capturing the intricate web of connections among the units they are made of. A key question is how to interpret the global organization of such networks as the…

Physics and Society · Physics 2007-05-23 Gergely Palla , Imre Derenyi , Illes Farkas , Tamas Vicsek

We propose an algorithm for detecting communities of links in networks which uses local information, is based on a new evaluation function, and allows for pervasive overlaps of communities. The complexity of the clustering task requires the…

Social and Information Networks · Computer Science 2016-06-24 Frank Havemann , Jochen Gläser , Michael Heinz

Pairwise temporal interactions between entities can be represented as temporal networks, which code the propagation of processes such as epidemic spreading or information cascades, evolving on top of them. The largest outcome of these…

Social and Information Networks · Computer Science 2023-07-12 Rémi Vaudaine , Pierre Borgnat , Paulo Goncalves , Rémi Gribonval , Márton Karsai

The information-theoretic limits of community detection have been studied extensively for network models with high levels of symmetry or homogeneity. The contribution of this paper is to study a broader class of network models that allow…

Information Theory · Computer Science 2019-07-05 Galen Reeves , Vaishakhi Mayya , Alexander Volfovsky

The task of community detection, which aims to partition a network into clusters of nodes to summarize its large-scale structure, has spawned the development of many competing algorithms with varying objectives. Some community detection…

Social and Information Networks · Computer Science 2023-11-09 Tiago P. Peixoto , Alec Kirkley

The different approaches developed to analyze the structure of complex networks have generated a large number of studies. In the field of social networks at least, studies mainly address the detection and analysis of communities. In this…

Social and Information Networks · Computer Science 2020-06-11 Djellabi Mehdi , Jouve Bertrand , Amblard Frédéric

We consider a community finding problem called Co-located Community Detection (CCD) over geo-social networks, which retrieves communities that satisfy both high structural tightness and spatial closeness constraints. To provide a solution…

Databases · Computer Science 2019-09-04 Xiuwen Zheng , Qiyu Liu , Amarnath Gupta

One of the most important problems in complex networks is how to detect metadata groups accurately. The main challenge lies in the fact that traditional structural communities do not always capture the intrinsic features of metadata groups.…

Physics and Society · Physics 2017-01-04 Songwei Jia , Lin Gao , Yong Gao , James Nastos , Xiao Wen , Xindong Zhang , Haiyang Wang

The community structure of a complex network can be determined by finding the partitioning of its nodes that maximizes modularity. Many of the proposed algorithms for doing this work by recursively bisecting the network. We show that this…

Computers and Society · Computer Science 2015-05-13 Yudong Sun , Bogdan Danila , Kresimir Josic , Kevin E. Bassler

Contrasts with existing works which all consider nodes as functions and use edges to represent the relationships between different functions. We target at network modeling whose edges are functional data and transform the adjacency matrix…

Machine Learning · Statistics 2024-07-16 Haijie Xu , Chen Zhang

We propose a novel statistical model for sparse networks with overlapping community structure. The model is based on representing the graph as an exchangeable point process, and naturally generalizes existing probabilistic models with…

Methodology · Statistics 2025-02-06 Adrien Todeschini , Xenia Miscouridou , François Caron