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We introduce a new method for performing clustering with the aim of fitting clusters with different scatters and weights. It is designed by allowing to handle a proportion $\alpha$ of contaminating data to guarantee the robustness of the…

Statistics Theory · Mathematics 2008-12-18 Luis A. García-Escudero , Alfonso Gordaliza , Carlos Matrán , Agustin Mayo-Iscar

We formulate a novel technique for the detection of functional clusters in discrete event data. The advantage of this algorithm is that no prior knowledge of the number of functional groups is needed, as our procedure progressively combines…

Neurons and Cognition · Quantitative Biology 2015-05-13 S. Feldt , J. Waddell , V. L. Hetrick , J. D. Berke , M. Zochowski

Convex clustering has recently garnered increasing interest due to its attractive theoretical and computational properties, but its merits become limited in the face of high-dimensional data. In such settings, pairwise affinity terms that…

Methodology · Statistics 2021-04-02 Saptarshi Chakraborty , Jason Xu

In this paper, we consider the problem of assessing local clustering in complex networks. Various definitions for this measure have been proposed for the cases of networks having weighted edges, but less attention has been paid to both…

Physics and Society · Physics 2017-12-21 Gian Paolo Clemente , Rosanna Grassi

There has been much interest recently in developing fair clustering algorithms that seek to do justice to the representation of groups defined along sensitive attributes such as race and gender. We observe that clustering algorithms could…

Machine Learning · Computer Science 2023-01-02 Stanley Simoes , Deepak P , Muiris MacCarthaigh

This paper introduces a model based upon games on an evolving network, and develops three clustering algorithms according to it. In the clustering algorithms, data points for clustering are regarded as players who can make decisions in…

Machine Learning · Computer Science 2010-03-22 Qiang Li , Zhuo Chen , Yan He , Jing-ping Jiang

An efficient MCMC algorithm is presented to cluster the nodes of a network such that nodes with similar role in the network are clustered together. This is known as block-modelling or block-clustering. The model is the stochastic blockmodel…

Computation · Statistics 2012-11-09 Aaron F. McDaid , Thomas Brendan Murphy , Nial Friel , Neil J Hurley

In contemporary wireless communication networks, base-stations are organized into coordinated clusters (called cells) to jointly serve the users. However, such fixed systems are plagued by the so-called cell-edge problem: near the…

Social and Information Networks · Computer Science 2023-07-18 Péter L. Erdős , Tamás Róbert Mezei

Clustering methods seek to partition data such that elements are more similar to elements in the same cluster than to elements in different clusters. The main challenge in this task is the lack of a unified definition of a cluster,…

Statistics Theory · Mathematics 2022-07-06 Franz Besold , Vladimir Spokoiny

This work focusses on analyzing the optimization strategies of routing protocols with respect to energy utilization of sensor nodes in Wireless Sensor Network (WSNs). Different routing mechanisms have been proposed to address energy…

Networking and Internet Architecture · Computer Science 2016-11-15 K. Latif , M. Jaffar , N. Javaid , M. N. Saqib , U. Qasim , Z. A. Khan

Clustering high-dimensional datasets is hard because interpoint distances become less informative in high-dimensional spaces. We present a clustering algorithm that performs nonlinear dimensionality reduction and clustering jointly. The…

Machine Learning · Computer Science 2018-03-06 Sohil Atul Shah , Vladlen Koltun

Weights and directionality of the edges carry a large part of the information we can extract from a complex network. However, many network measures were formulated initially for undirected binary networks. The necessity to incorporate…

Social and Information Networks · Computer Science 2021-08-31 Tanguy Fardet , Anna Levina

This paper considers a canonical clustering problem where one receives unlabeled samples drawn from a balanced mixture of two elliptical distributions and aims for a classifier to estimate the labels. Many popular methods including PCA and…

Machine Learning · Statistics 2021-11-30 Kaizheng Wang , Yuling Yan , Mateo Díaz

Identification of the clusters from an unlabeled data set is one of the most important problems in Unsupervised Machine Learning. The state of the art clustering algorithms are based on either the statistical properties or the geometric…

Machine Learning · Computer Science 2018-01-04 Sambarta Dasgupta , Keivan Ebrahimi , Umesh Vaidya

Algorithms for node clustering typically focus on finding homophilous structure in graphs. That is, they find sets of similar nodes with many edges within, rather than across, the clusters. However, graphs often also exhibit heterophilous…

Machine Learning · Computer Science 2023-08-15 Sudhanshu Chanpuriya , Cameron Musco

This paper considers networks where relationships between nodes are represented by directed dissimilarities. The goal is to study methods for the determination of hierarchical clusters, i.e., a family of nested partitions indexed by a…

Machine Learning · Computer Science 2014-09-03 Gunnar Carlsson , Facundo Mémoli , Alejandro Ribeiro , Santiago Segarra

We study the complexity of finding an optimal hierarchical clustering of an unweighted similarity graph under the recently introduced Dasgupta objective function. We introduce a proof technique, called the normalization procedure, that…

Computational Complexity · Computer Science 2020-08-10 Svein Høgemo , Christophe Paul , Jan Arne Telle

We present a novel approach to partitioning network nodes into non-overlapping communities - a key step in revealing network modularity and hierarchical organization. Our methodology, applicable to networks with both weighted and unweighted…

Physics and Society · Physics 2022-02-24 Aditya Ballal , Willow B. Kion-Crosby , Alexandre V. Morozov

HDBSCAN is a density-based clustering algorithm that constructs a cluster hierarchy tree and then uses a specific stability measure to extract flat clusters from the tree. We show how the application of an additional threshold value can…

Databases · Computer Science 2021-01-22 Claudia Malzer , Marcus Baum

The wireless sensor networks (WSNs) is a power constrained system, since nodes run on limited power batteries which shorten its lifespan.The main challenge facing us in the design and conception of Wireless Sensor Networks (WSNs) is to find…

Networking and Internet Architecture · Computer Science 2013-06-20 Mostafa Saadi , Moulay Lahcen Hasnaoui , Abderrahim Beni Hssane , Said Benkirane , Mohamed Laghdir