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Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data…

Data Analysis, Statistics and Probability · Physics 2012-08-22 Clara Granell , Sergio Gomez , Alex Arenas

Cluster analysis of biological samples using gene expression measurements is a common task which aids the discovery of heterogeneous biological sub-populations having distinct mRNA profiles. Several model-based clustering algorithms have…

Methodology · Statistics 2012-01-30 Alberto Cozzini , Ajay Jasra , Giovanni Montana

One of the methodologies that carry out the division of the electrical grid into zones is based on the aggregation of nodes characterized by similar Power Transfer Distribution Factors (PTDFs). Here, we point out that satisfactory…

Computational Engineering, Finance, and Science · Computer Science 2014-08-07 Michal Klos , Karol Wawrzyniak , Marcin Jakubek , Grzegorz Orynczak

We consider the problem of clustering functional data while jointly selecting the most relevant features for classification. This problem has never been tackled before in the functional data context, and it requires a proper definition of…

Methodology · Statistics 2015-01-21 Davide Floriello , Valeria Vitelli

Time series clustering is essential in scientific applications, yet methods for functional time series, collections of infinite-dimensional curves treated as random elements in a Hilbert space, remain underdeveloped. This work presents…

Methodology · Statistics 2025-04-03 Angel Lopez-Oriona , Ying Sun , Han Lin Shang

We develop a novel clustering method for distributional data, where each data point is regarded as a probability distribution on the real line. For distributional data, it has been challenging to develop a clustering method that utilizes…

Methodology · Statistics 2025-06-24 Ryo Okano , Masaaki Imaizumi

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

Statistics Theory · Mathematics 2023-11-07 Tabea Rebafka

This paper applies conformal prediction techniques to compute simultaneous prediction bands and clustering trees for functional data. These tools can be used to detect outliers and clusters. Both our prediction bands and clustering trees…

Machine Learning · Statistics 2013-02-27 Jing Lei , Alessandro Rinaldo , Larry Wasserman

In the collaborative clustering framework, the hope is that by combining several clustering solutions, each one with its own bias and imperfections, one will get a better overall solution. The goal is that each local computation, quite…

Machine Learning · Computer Science 2021-03-25 Yohan Foucade , Younès Bennani

In this paper, a scale mixture of Normal distributions model is developed for classification and clustering of data having outliers and missing values. The classification method, based on a mixture model, focuses on the introduction of…

Machine Learning · Statistics 2017-11-23 G. Revillon , A. Djafari , C. Enderli

We propose a Fourier-based approach for optimization of several clustering algorithms. Mathematically, clusters data can be described by a density function represented by the Dirac mixture distribution. The density function can be smoothed…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

Clustering task of mixed data is a challenging problem. In a probabilistic framework, the main difficulty is due to a shortage of conventional distributions for such data. In this paper, we propose to achieve the mixed data clustering with…

Methodology · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Observed clusters should be modelled by considering the distribution function to be a random variable that quantifies the degree of excitation of the system's normal modes. A system of canonical coordinates for the space of DFs is…

Astrophysics of Galaxies · Physics 2021-08-11 Jun Yan Lau , James Binney

It is well known that the classical single linkage algorithm usually fails to identify clusters in the presence of outliers. In this paper, we propose a new version of this algorithm, and we study its mathematical performances. In…

Statistics Theory · Mathematics 2022-03-21 Nicolas Klutchnikoff , Audrey Poterie , Laurent Rouviere

Finding meaningful clusters in drive-by-download malware data is a particularly difficult task. Malware data tends to contain overlapping clusters with wide variations of cardinality. This happens because there can be considerable…

Cryptography and Security · Computer Science 2021-04-26 Renato Cordeiro de Amorim , Carlos David Lopez Ruiz

The goal of data clustering is to partition data points into groups to minimize a given objective function. While most existing clustering algorithms treat each data point as vector, in many applications each datum is not a vector but a…

Machine Learning · Statistics 2017-03-16 Dinh Phung , Ba-Ngu Bo

A novel procedure to perform fuzzy clustering of multivariate time series generated from different dependence models is proposed. Different amounts of dissimilarity between the generating models or changes on the dynamic behaviours over…

Methodology · Statistics 2021-09-09 Ángel López-Oriona , José A. Vilar , Pierpaolo-D'Urso

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

We have proposed a model based upon flocking on a complex network, and then developed two clustering algorithms on the basis of it. In the algorithms, firstly a \textit{k}-nearest neighbor (knn) graph as a weighted and directed graph is…

Machine Learning · Computer Science 2008-12-31 Qiang Li , Yan He , Jing-ping Jiang