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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

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth

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

We study the structure of loops in networks using the notion of modulus of loop families. We introduce a new measure of network clustering by quantifying the richness of families of (simple) loops. Modulus tries to minimize the expected…

Social and Information Networks · Computer Science 2017-01-25 Heman Shakeri , Pietro Poggi-Corradini , Nathan Albin , Caterina Scoglio

Biological functions are carried out by groups of interacting molecules, cells or tissues, known as communities. Membership in these communities may overlap when biological components are involved in multiple functions. However, traditional…

Much effort has gone into understanding the modular nature of complex networks. Communities, also known as clusters or modules, are typically considered to be densely interconnected groups of nodes that are only sparsely connected to other…

Physics and Society · Physics 2012-06-26 James P. Bagrow

Correlation networks derived from multivariate data appear in many applications across the sciences. These networks are usually dense and require sparsification to detect meaningful structure. However, current methods for sparsifying…

Physics and Society · Physics 2023-03-06 Magnus Neuman , Viktor Jonsson , Joaquín Calatayud , Martin Rosvall

We analyze the performance of spectral clustering for community extraction in stochastic block models. We show that, under mild conditions, spectral clustering applied to the adjacency matrix of the network can consistently recover hidden…

Statistics Theory · Mathematics 2014-12-31 Jing Lei , Alessandro Rinaldo

The most widely used techniques for community detection in networks, including methods based on modularity, statistical inference, and information theoretic arguments, all work by optimizing objective functions that measure the quality of…

Social and Information Networks · Computer Science 2020-05-13 Maria A. Riolo , M. E. J. Newman

The paper presents a novel approach for unsupervised techniques in the field of clustering. A new method is proposed to enhance existing literature models using the proper Bayesian bootstrap to improve results in terms of robustness and…

Machine Learning · Statistics 2024-09-16 Federico Maria Quetti , Silvia Figini , Elena ballante

Predicting future interactions or novel links in networks is an indispensable tool across diverse domains, including genetic research, online social networks, and recommendation systems. Among the numerous techniques developed for link…

Social and Information Networks · Computer Science 2025-03-24 Maja Lindström , Christopher Blöcker , Tommy Löfstedt , Martin Rosvall

Clustering procedures typically estimate which data points are clustered together, a quantity of primary importance in many analyses. Often used as a preliminary step for dimensionality reduction or to facilitate interpretation, finding…

Methodology · Statistics 2017-12-06 Ryan Giordano , Runjing Liu , Nelle Varoquaux , Michael I. Jordan , Tamara Broderick

Tensor clustering, which seeks to extract underlying cluster structures from noisy tensor observations, has gained increasing attention. One extensively studied model for tensor clustering is the tensor block model, which postulates the…

Statistics Theory · Mathematics 2023-11-07 Yuchen Zhou , Yuxin Chen

We consider the problem of identifying multiway block structure from a large noisy tensor. Such problems arise frequently in applications such as genomics, recommendation system, topic modeling, and sensor network localization. We propose a…

Machine Learning · Statistics 2021-01-05 Miaoyan Wang , Yuchen Zeng

Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with the number of variables, these models can be easily…

Methodology · Statistics 2018-09-25 Michael Fop , Thomas Brendan Murphy , Luca Scrucca

Although much of the focus of statistical works on networks has been on static networks, multiple networks are currently becoming more common among network data sets. Usually, a number of network data sets, which share some form of…

Methodology · Statistics 2018-05-29 Sharmodeep Bhattacharyya , Shirshendu Chatterjee

Community detection refers to finding densely connected groups of nodes in graphs. In important applications, such as cluster analysis and network modelling, the graph is sparse but outliers and heavy-tailed noise may obscure its structure.…

Signal Processing · Electrical Eng. & Systems 2020-11-19 Aylin Tastan , Michael Muma , Abdelhak M. Zoubir

Subspace clustering algorithms are used for understanding the cluster structure that explains the dataset well. These methods are extensively used for data-exploration tasks in various areas of Natural Sciences. However, most of these…

Machine Learning · Computer Science 2022-11-15 Ashutosh Singh , Ashish Singh , Aria Masoomi , Tales Imbiriba , Erik Learned-Miller , Deniz Erdogmus

Quality assessments of models in unsupervised learning and clustering verification in particular have been a long-standing problem in the machine learning research. The lack of robust and universally applicable cluster validity scores often…

Machine Learning · Statistics 2018-03-30 Luzie Helfmann , Johannes von Lindheim , Mattes Mollenhauer , Ralf Banisch