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Network community detection often relies on optimizing partition quality functions, like modularity. This optimization appears to be a complex problem traditionally relying on discrete heuristics. And although the problem could be…

Social and Information Networks · Computer Science 2021-03-04 Stanislav Sobolevsky

Finding a good classifier is a multiobjective optimization problem with different error rates and the costs to be minimized. The receiver operating characteristic is widely used in the machine learning community to analyze the performance…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Jiaqi Zhao , Vitor Basto Fernandes , Licheng Jiao , Iryna Yevseyeva , Asep Maulana , Rui Li , Thomas Bäck , Michael T. M. Emmerich

An efficient and relatively fast algorithm for the detection of communities in complex networks is introduced. The method exploits spectral properties of the graph Laplacian-matrix combined with hierarchical-clustering techniques, and…

Statistical Mechanics · Physics 2009-11-10 Luca Donetti , Miguel A. Munoz

Recent years have witnessed the development of a large body of algorithms for community detection in complex networks. Most of them are based upon the optimization of objective functions, among which modularity is the most common, though a…

Social and Information Networks · Computer Science 2014-10-02 Stanislav Sobolevsky , Riccardo Campari , Alexander Belyi , Carlo Ratti

Clustering algorithms remain valuable tools for grouping and summarizing the most important aspects of data. Example areas where this is the case include image segmentation, dimension reduction, signals analysis, model order reduction,…

Numerical Analysis · Mathematics 2024-12-24 Guy B. Oldaker , Maria Emelianenko

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

Community discovery in complex networks is an interesting problem with a number of applications, especially in the knowledge extraction task in social and information networks. However, many large networks often lack a particular community…

Data Structures and Algorithms · Computer Science 2012-06-05 Michele Coscia , Giulio Rossetti , Fosca Giannotti , Dino Pedreschi

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

Social and Information Networks · Computer Science 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

The maximization of generalized modularity performs well on networks in which the members of all communities are statistically indistinguishable from each other. However, there is no theory bounding the maximization performance in more…

Social and Information Networks · Computer Science 2020-04-17 Xiaoyan Lu , Brendan Cross , Boleslaw K. Szymanski

Recently, there has been an increasing interest in designing distributed convex optimization algorithms under the setting where the data matrix is partitioned on features. Algorithms under this setting sometimes have many advantages over…

Machine Learning · Computer Science 2016-12-05 Zihao Chen , Luo Luo , Zhihua Zhang

Community detection is one of the fundamental problems of network analysis, for which a number of methods have been proposed. Most model-based or criteria-based methods have to solve an optimization problem over a discrete set of labels to…

Machine Learning · Statistics 2015-05-12 Can M. Le , Elizaveta Levina , Roman Vershynin

Most existing approaches for community detection require complete information of the graph in a specific scale, which is impractical for many social networks. We propose a novel algorithm that does not embrace the universal approach but…

Physics and Society · Physics 2015-03-30 Hui-Jia Li , Junhua Zhang , Zhi-Ping Liu , Luonan Chen , Xiang-Sun Zhang

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

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

Social and Information Networks · Computer Science 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

Many complex networks show signs of modular structure, uncovered by community detection. Although many methods succeed in revealing various partitions, it remains difficult to detect at what scale some partition is significant. This problem…

Physics and Society · Physics 2013-10-15 V. A. Traag , G. Krings , P. Van Dooren

In this work, we propose a simple but effective channel pruning framework called Progressive Channel Pruning (PCP) to accelerate Convolutional Neural Networks (CNNs). In contrast to the existing channel pruning methods that prune channels…

Computer Vision and Pattern Recognition · Computer Science 2025-07-08 Jinyang Guo , Weichen Zhang , Wanli Ouyang , Dong Xu

Unsupervised segmentation of large images using a Potts model Hamiltonian is unique in that segmentation is governed by a resolution parameter which scales the sensitivity to small clusters. Here, the input image is first modeled as a…

Computer Vision and Pattern Recognition · Computer Science 2020-02-06 Brendon Lutnick , Wen Dong , Zohar Nussinov , Pinaki Sarder

Uncovering latent community structure in complex networks is a field that has received an enormous amount of attention. Unfortunately, whilst potentially very powerful, unsupervised methods for uncovering labels based on topology alone has…

Social and Information Networks · Computer Science 2018-06-29 James P Gilbert , Jamie Twycross

Modularity-based algorithms used for community detection have been increasing in recent years. Modularity and its application have been generating controversy since some authors argue it is not a metric without disadvantages. It has been…

Social and Information Networks · Computer Science 2019-04-30 Rui Portocarrero Sarmento

Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

Data Analysis, Statistics and Probability · Physics 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang