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Motivated by applications in social network community analysis, we introduce a new clustering paradigm termed motif clustering. Unlike classical clustering, motif clustering aims to minimize the number of clustering errors associated with…

Social and Information Networks · Computer Science 2017-01-31 Pan Li , Hoang Dau , Gregory Puleo , Olgica Milenkovic

Background: Network communities help the functional organization and evolution of complex networks. However, the development of a method, which is both fast and accurate, provides modular overlaps and partitions of a heterogeneous network,…

Computational Physics · Physics 2010-09-06 Istvan A. Kovacs , Robin Palotai , Mate S. Szalay , Peter Csermely

Many real-world complex networks exhibit a community structure, in which the modules correspond to actual functional units. Identifying these communities is a key challenge for scientists. A common approach is to search for the network…

Physics and Society · Physics 2016-12-22 Federico Botta , Charo I. del Genio

Complex networks contain complete subgraphs such as nodes, edges, triangles, etc., referred to as simplices and cliques of different orders. Notably, cavities consisting of higher-order cliques play an important role in brain functions.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Dinghua Shi , Zhifeng Chen , Xiang Sun , Qinghua Chen , Chuang Ma , Yang Lou , Guanrong Chen

In this paper, we use a partition of the links of a network in order to uncover its community structure. This approach allows for communities to overlap at nodes, so that nodes may be in more than one community. We do this by making a node…

Physics and Society · Physics 2009-07-24 T. S. Evans , R. Lambiotte

Community detection algorithms are fundamental tools that allow us to uncover organizational principles in networks. When detecting communities, there are two possible sources of information one can use: the network structure, and the…

Social and Information Networks · Computer Science 2016-11-15 Jaewon Yang , Julian McAuley , Jure Leskovec

We propose a novel method to cluster gene networks. Based on a dissimilarity built using correlation structures, we consider networks that connect all the genes based on the strength of their dissimilarity. The large number of genes require…

Statistics Theory · Mathematics 2016-07-07 A-C Brunet , J-M Azais , J-M Loubes , J Amar , R Burcelin

Detecting communities in large-scale networks is a challenging task when each vertex may belong to multiple communities, as is often the case in social networks. The multiple memberships of vertices and thus the strong overlaps among…

Social and Information Networks · Computer Science 2019-06-04 Elvis H. W. Xu , P. M. Hui

It has been shown that the communities of complex networks often overlap with each other. However, there is no effective method to quantify the overlapping community structure. In this paper, we propose a metric to address this problem.…

Physics and Society · Physics 2009-07-28 Hua-Wei Shen , Xue-Qi Cheng , Jia-Feng Guo

A "community" in a social network is usually understood to be a group of nodes more densely connected with each other than with the rest of the network. This is an important concept in most domains where networks arise: social,…

Social and Information Networks · Computer Science 2011-12-09 Sanjeev Arora , Rong Ge , Sushant Sachdeva , Grant Schoenebeck

Biological and cellular systems are often modeled as graphs in which vertices represent objects of interest (genes, proteins, drugs) and edges represent relational ties among these objects (binds-to, interacts-with, regulates). This…

Machine Learning · Statistics 2017-03-16 Jose Lugo-Martinez , Predrag Radivojac

Understanding and extracting the patterns of microscopy images has been a major challenge in the biomedical field. Although trained scientists can locate the proteins of interest within a human cell, this procedure is not efficient and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-09 Hanke Chen

We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique and the graph-alignment problems in random graphs. The…

Quantitative Methods · Quantitative Biology 2010-04-02 S. Bradde , A. Braunstein , H. Mahmoudi , F. Tria , M. Weigt , R. Zecchina

Unveiling the community structure of networks is a powerful methodology to comprehend interconnected systems across the social and natural sciences. To identify different types of functional modules in interaction data aggregated in a…

Physics and Society · Physics 2015-04-24 Manlio De Domenico , Andrea Lancichinetti , Alex Arenas , Martin Rosvall

Popular online enrichment analysis tools from the field of molecular systems biology provide users with the ability to submit their experimental results as gene sets for individual analysis. Such queries are kept private, and have never…

Molecular Networks · Quantitative Biology 2016-01-08 Avi Ma'ayan , Neil R. Clark

Many complex systems can be represented as networks, and the problem of network comparison is becoming increasingly relevant. There are many techniques for network comparison, from simply comparing network summary statistics to…

Machine Learning · Statistics 2017-04-04 Anatol E. Wegner , Luis Ospina-Forero , Robert E. Gaunt , Charlotte M. Deane , Gesine Reinert

Determining the localization of specific protein in human cells is important for understanding cellular functions and biological processes of underlying diseases. Among imaging techniques, high-throughput fluorescence microscopy imaging is…

Computer Vision and Pattern Recognition · Computer Science 2019-02-01 Yijun Tian

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

The properties of certain networks are determined by hidden variables that are not explicitly measured. The conditional probability (propagator) that a vertex with a given value of the hidden variable is connected to k of other vertices…

Quantitative Methods · Quantitative Biology 2009-11-13 Gerald A. Miller , Yi Y. Shi , Hong Qian , Karol Bomsztyk

A significant problem in analysis of complex network is to reveal community structure, in which network nodes are tightly connected in the same communities, between which there are sparse connections. Previous algorithms for community…

Physics and Society · Physics 2018-04-25 Jingming Zhang , Jianjun Cheng , Xing Su , Xinhong Yin , Shiyan Zhao , Xiaoyun Chen
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