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Current community detection algorithms operate by optimizing a statistic called modularity, which analyzes the distribution of positively weighted edges in a network. Modularity does not account for negatively weighted edges. This paper…

Data Analysis, Statistics and Probability · Physics 2008-01-23 Todd D. Kaplan , Stephanie Forrest

We characterize the large-sample properties of network modularity in the presence of covariates, under a natural and flexible nonparametric null model. This provides for the first time an objective measure of whether or not a particular…

Statistics Theory · Mathematics 2016-03-04 Beate Franke , Patrick J. Wolfe

Community detection is a key task to further understand the function and the structure of complex networks. Therefore, a strategy used to assess this task must be able to avoid biased and incorrect results that might invalidate further…

Social and Information Networks · Computer Science 2021-02-09 Jeancarlo Campos Leão , Alberto H. F. Laender , Pedro O. S. Vaz de Melo

Community detection is one of the most studied problems on complex networks. Although hundreds of methods have been proposed so far, there is still no universally accepted formal definition of what is a good community. As a consequence, the…

Social and Information Networks · Computer Science 2015-02-19 Remy Cazabet , Rathachai Chawuthai , Hideaki Takeda

Networks are a general language for representing relational information among objects. An effective way to model, reason about, and summarize networks, is to discover sets of nodes with common connectivity patterns. Such sets are commonly…

Social and Information Networks · Computer Science 2014-01-30 Jaewon Yang , Julian McAuley , Jure Leskovec

Algorithms for detecting communities in complex networks are generally unsupervised, relying solely on the structure of the network. However, these methods can often fail to uncover meaningful groupings that reflect the underlying…

Social and Information Networks · Computer Science 2018-11-22 Elham Alghamdi , Derek Greene

Communities commonly overlap in real-world networks. This is a motivation to develop overlapping community detection methods, because methods for non-overlapping communities may not perform well. However, deterioration mechanism of the…

Social and Information Networks · Computer Science 2020-10-27 Chihiro Noguchi , Tatsuro Kawamoto

Although community detection has drawn tremendous amount of attention across the sciences in the past decades, no formal consensus has been reached on the very nature of what qualifies a community as such. In this article we take an…

Social and Information Networks · Computer Science 2011-07-19 Adrien Friggeri , Guillaume Chelius , Eric Fleury

It has been hypothesized that some form of "modular" structure in artificial neural networks should be useful for learning, compositionality, and generalization. However, defining and quantifying modularity remains an open problem. We cast…

Machine Learning · Computer Science 2022-06-23 Richard D. Lange , David S. Rolnick , Konrad P. Kording

Seeding then expanding is a commonly used scheme to discover overlapping communities in a network. Most seeding methods are either too complex to scale to large networks or too simple to select high-quality seeds, and the non-principled…

Social and Information Networks · Computer Science 2015-02-27 Changxing Shang , Shengzhong Feng , Zhongying Zhao , Jianping Fan

Community Search, or finding a connected subgraph (known as a community) containing the given query nodes in a social network, is a fundamental problem. Most of the existing community search models only focus on the internal cohesiveness of…

Social and Information Networks · Computer Science 2022-04-19 Junghoon Kim , Siqiang Luo , Gao Cong , Wenyuan Yu

Community detection algorithms attempt to find the best clusters of nodes in an arbitrary complex network. Multi-scale ("multiresolution") community detection extends the problem to identify the best network scale(s) for these clusters. The…

Physics and Society · Physics 2015-06-11 Peter Ronhovde , Zohar Nussinov

Recent researches have discovered that rich interactions among entities in nature and society bring about complex networks with community structures. Although the investigation of the community structures has promoted the development of…

Physics and Society · Physics 2008-04-24 Nan Du , Bin Wu , Bai Wang , Yi Wang

In this paper a simple but efficient real-time detecting algorithm is proposed for tracking community structure of dynamic networks. Community structure is intuitively characterized as divisions of network nodes into subgroups, within which…

Social and Information Networks · Computer Science 2014-07-11 Jiaxing Shang , Lianchen Liu , Feng Xie , Zhen Chen , Jiajia Miao , Xuelin Fang , Cheng Wu

Finding community structures in networks is important in network science, technology, and applications. To date, most algorithms that aim to find community structures only focus either on unipartite or bipartite networks. A unipartite…

Physics and Society · Physics 2014-09-16 Chang Chang , Chao Tang

This paper reviews the state of the art in overlapping community detection algorithms, quality measures, and benchmarks. A thorough comparison of different algorithms (a total of fourteen) is provided. In addition to community level…

Social and Information Networks · Computer Science 2013-08-30 Jierui Xie , Stephen Kelley , Boleslaw K. Szymanski

We present a new algorithm for community detection. The algorithm uses random walks to embed the graph in a space of measures, after which a modification of $k$-means in that space is applied. The algorithm is therefore fast and easily…

Machine Learning · Computer Science 2016-05-11 Mark Kozdoba , Shie Mannor

Bipartite networks are a useful tool for representing and investigating interaction networks. We consider methods for identifying communities in bipartite networks. Intuitive notions of network community groups are made explicit using…

Physics and Society · Physics 2009-11-13 Michael J. Barber , Margarida Faria , Ludwig Streit , Oleg Strogan

As two main focuses of the study of complex networks, the community structure and the dynamics on networks have both attracted much attention in various scientific fields. However, it is still an open question how the community structure is…

Physics and Society · Physics 2010-05-11 Xue-Qi Cheng , Hua-Wei Shen

Because networks can be used to represent many complex systems, they have attracted considerable attention in physics, computer science, sociology, and many other disciplines. One of the most important areas of network science is the…

Social and Information Networks · Computer Science 2016-11-18 Huiyi Hu , Yves van Gennip , Blake Hunter , Mason A. Porter , Andrea L. Bertozzi