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Agglomerative clustering is a well established strategy for identifying communities in networks. Communities are successively merged into larger communities, coarsening a network of actors into a more manageable network of communities. The…

Physics and Society · Physics 2014-01-16 Michael J. Barber

A cluster tree provides a highly-interpretable summary of a density function by representing the hierarchy of its high-density clusters. It is estimated using the empirical tree, which is the cluster tree constructed from a density…

Statistics Theory · Mathematics 2017-02-14 Jisu Kim , Yen-Chi Chen , Sivaraman Balakrishnan , Alessandro Rinaldo , Larry Wasserman

The two most extended density-based approaches to clustering are surely mixture model clustering and modal clustering. In the mixture model approach, the density is represented as a mixture and clusters are associated to the different…

Machine Learning · Statistics 2016-09-16 José E. Chacón

A clustering is an implicit assignment of labels of points, based on proximity to other points. It is these labels that are then used for downstream analysis (either focusing on individual clusters, or identifying representatives of…

Machine Learning · Computer Science 2013-05-22 Parasaran Raman , Suresh Venkatasubramanian

Clustering data into meaningful subsets is a major task in scientific data analysis. To date, various strategies ranging from model-based approaches to data-driven schemes, have been devised for efficient and accurate clustering. One…

Machine Learning · Computer Science 2023-01-31 Omar Maddouri , Xiaoning Qian , Byung-Jun Yoon

We construct a method by which we can calculate the precision with which an algorithm identifies the shape of a cluster. We present our results for several well known clustering algorithms and suggest ways to improve performance for newer…

Computational Geometry · Computer Science 2017-07-27 Clark Alexander , Sofya Akhmametyeva

With the large amount of data generated every day, public sentiment is a key factor for various fields, including marketing, politics, and social research. Understanding the public sentiment about different topics can provide valuable…

Computation and Language · Computer Science 2024-10-18 Mayimunah Nagayi , Clement Nyirenda

Complex networks have been widely used in science and technology because of their ability to represent several systems. One of these systems is found in Biochemistry, in which the synthesis of new nanoparticles is a hot topic. However, the…

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa

Clustering ensemble, or consensus clustering, has emerged as a powerful tool for improving both the robustness and the stability of results from individual clustering methods. Weighted clustering ensemble arises naturally from clustering…

Computer Vision and Pattern Recognition · Computer Science 2021-12-14 Mimi Zhang

We present a new approach to the calculation of measures in weighted networks, based on the translation of a weighted network into an ensemble of edges. This leads to a straightforward generalization of any measure defined on unweighted…

Statistical Mechanics · Physics 2009-07-06 S. E. Ahnert , D. Garlaschelli , T. M. Fink , G. Caldarelli

Although many successful ensemble clustering approaches have been developed in recent years, there are still two limitations to most of the existing approaches. First, they mostly overlook the issue of uncertain links, which may mislead the…

Machine Learning · Statistics 2016-06-06 Dong Huang , Jian-Huang Lai , Chang-Dong Wang

Object oriented software with low cohesive classes can increase maintenance cost. Low cohesive classes are likely to be introduced into the software during initial design due to deviation from design principles and during evolution due to…

Software Engineering · Computer Science 2012-01-10 A. Ananda Rao , K. Narendar Reddy

Data analysis in high-dimensional spaces aims at obtaining a synthetic description of a data set, revealing its main structure and its salient features. We here introduce an approach providing this description in the form of a topography of…

Machine Learning · Statistics 2021-03-02 Maria d'Errico , Elena Facco , Alessandro Laio , Alex Rodriguez

In this study, we introduce a new approach to combine multi-classifiers in an ensemble system. Instead of using numeric membership values encountered in fixed combining rules, we construct interval membership values associated with each…

Machine Learning · Computer Science 2017-03-17 Tien Thanh Nguyen , Xuan Cuong Pham , Alan Wee-Chung Liew , Witold Pedrycz

We study potential biases of popular cluster quality metrics, such as conductance or modularity. We propose a method that uses both stochastic and preferential attachment block models construction to generate networks with preset community…

Physics and Society · Physics 2025-07-08 Martí Renedo-Mirambell , Argimiro Arratia

Multi-class classification methods that produce sets of probabilistic classifiers, such as ensemble learning methods, are able to model aleatoric and epistemic uncertainty. Aleatoric uncertainty is then typically quantified via the Bayes…

Machine Learning · Statistics 2023-04-20 Thomas Mortier , Viktor Bengs , Eyke Hüllermeier , Stijn Luca , Willem Waegeman

The recent trend in multiple object tracking (MOT) is heading towards leveraging deep learning to boost the tracking performance. However, it is not trivial to solve the data-association problem in an end-to-end fashion. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Peng Dai , Renliang Weng , Wongun Choi , Changshui Zhang , Zhangping He , Wei Ding

With the recent growth in data availability and complexity, and the associated outburst of elaborate modelling approaches, model selection tools have become a lifeline, providing objective criteria to deal with this increasingly challenging…

Methodology · Statistics 2020-10-08 Alessandro Casa , Luca Scrucca , Giovanna Menardi

Based on an expert systems approach, the issue of community detection can be conceptualized as a clustering model for networks. Building upon this further, community structure can be measured through a clustering coefficient, which is…

Social and Information Networks · Computer Science 2019-04-12 Roy Cerqueti , Giovanna Ferraro , Antonio Iovanella
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