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With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

Data Structures and Algorithms · Computer Science 2015-12-01 Ka-Chun Wong

Graph clustering is a fundamental problem that has been extensively studied both in theory and practice. The problem has been defined in several ways in literature and most of them have been proven to be NP-Hard. Due to their high practical…

Social and Information Networks · Computer Science 2012-03-27 Sumit Singh

One of the most widely used techniques for data clustering is agglomerative clustering. Such algorithms have been long used across many different fields ranging from computational biology to social sciences to computer vision in part…

Machine Learning · Computer Science 2014-07-15 Maria-Florina Balcan , Yingyu Liang , Pramod Gupta

In the context of growing networks, we introduce a simple dynamical model that unifies the generic features of real networks: scale-free distribution of degree and the small world effect. While the average shortest path length increases…

Condensed Matter · Physics 2009-11-07 Konstantin Klemm , Victor M. Eguiluz

Many clustering schemes have been proposed for ad hoc networks. A systematic classification of these clustering schemes enables one to better understand and make improvements. In mobile ad hoc networks, the movement of the network nodes may…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-14 Ratish Agarwal , Dr. Mahesh Motwani

Differently from theoretical scale-free networks, most of real networks present multi-scale behavior with nodes structured in different types of functional groups and communities. While the majority of approaches for classification of nodes…

Physics and Society · Physics 2012-03-22 Filipi Nascimento Silva , Marilza A. Rodrigues , Luciano da Fontoura Costa

Complex networks are characterized by several topological properties: degree distribution, clustering coefficient, average shortest path length, etc. Using a simple model to generate scale-free networks embedded on geographical space, we…

Disordered Systems and Neural Networks · Physics 2013-11-20 Satoru Morita

We present a family of scale-free network model consisting of cliques, which is established by a simple recursive algorithm. We investigate the networks both analytically and numerically. The obtained analytical solutions show that the…

Physics and Society · Physics 2007-09-11 Zhongzhi Zhang , Shuigeng Zhou , Lichao Chen

Hierarchical networks actually have many applications in the real world. Firstly, we propose a new class of hierarchical networks with scale-free and fractal structure, which are the networks with triangles compared to traditional…

Combinatorics · Mathematics 2022-11-23 Jia-Bao Liu , Yan Bao , Wu-Ting Zheng

Cognitive Radio Networks (CRNs) are being studied intensively and gaining importance as spectrum is the heavily underutilized. CRN has the capability to exploit smartly the unutilized frequency spectrum. Recently, the research community…

Networking and Internet Architecture · Computer Science 2016-06-21 Fatima Zohra Benidris , Badr Benmammar , Leila Merghem-Boulahia , Moez Esseghir

Recently, community has paid increasing attention on model scaling and contributed to developing a model family with a wide spectrum of scales. Current methods either simply resort to a one-shot NAS manner to construct a non-structural and…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Jiyang Xie , Xiu Su , Shan You , Zhanyu Ma , Fei Wang , Chen Qian

We consider the problem of decentralized clustering and estimation over multi-task networks, where agents infer and track different models of interest. The agents do not know beforehand which model is generating their own data. They also do…

Optimization and Control · Mathematics 2017-05-24 Sahar Khawatmi , Ali H. Sayed , Abdelhak M. Zoubir

Finding a good clustering of vertices in a network, where vertices in the same cluster are more tightly connected than those in different clusters, is a useful, important, and well-studied task. Many clustering algorithms scale well,…

Social and Information Networks · Computer Science 2011-10-18 Thomas DuBois , Jennifer Golbeck , Aravind Srinivasan

Until recently obtaining data on populations of networks was typically rare. However, with the advancement of automatic monitoring devices and the growing social and scientific interest in networks, such data has become more widely…

Methodology · Statistics 2020-01-22 Mirko Signorelli , Ernst Wit

The structure of the network has great impact on its traffic dynamics. Most of the real world networks follow the heterogeneous structure and exhibit scale-free feature. In scale-free network, a new node prefers to connect with hub nodes…

Networking and Internet Architecture · Computer Science 2019-01-17 Suchi Kumari , Abhishek Saroha , Anurag Singh

Large-scale multi-layer networks with large numbers of nodes, edges, and layers arise across various domains, which poses a great computational challenge for the downstream analysis. In this paper, we develop an efficient randomized…

Computation · Statistics 2025-01-10 Wenqing Su , Xiao Guo , Xiangyu Chang , Ying Yang

What is the underlying mechanism leading to power-law degree distributions of many natural and artificial networks is still at issue. We consider that scale-free networks emerges from self-organizing process, and such a evolving model is…

Statistical Mechanics · Physics 2007-05-23 Gang Yan , Tao Zhou , Ying-Di Jin , Zhong-Qian Fu

Kernel-based clustering algorithms have the ability to capture the non-linear structure in real world data. Among various kernel-based clustering algorithms, kernel k-means has gained popularity due to its simple iterative nature and ease…

Computer Vision and Pattern Recognition · Computer Science 2014-02-18 Radha Chitta , Rong Jin , Timothy C. Havens , Anil K. Jain

We study clustering properties of networks of single integrator nodes over a directed graph, in which the nodes converge to steady-state values. These values define clustering groups of nodes, which depend on interaction topology, edge…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Jeong-Min Ma , Hyung-Gon Lee , Kevin L. Moore , Hyo-Sung Ahn , Kwang-Kyo Oh

We propose two related unsupervised clustering algorithms which, for input, take data assumed to be sampled from a uniform distribution supported on a metric space $X$, and output a clustering of the data based on the selection of a…

Machine Learning · Computer Science 2022-09-28 Antonio Rieser