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Community structure is a commonly observed feature of real networks. The term refers to the presence in a network of groups of nodes (communities) that feature high internal connectivity, but are poorly connected between each other. Whereas…

应用统计 · 统计学 2021-10-07 Mirko Signorelli , Luisa Cutillo

We consider the simultaneous clustering of rows and columns of a matrix and more particularly the ability to measure the agreement between two co-clustering partitions. The new criterion we developed is based on the Adjusted Rand Index and…

应用统计 · 统计学 2020-12-16 Valerie Robert , Yann Vasseur , Vincent Brault

The cluster variation method (CVM) is a hierarchy of approximate variational techniques for discrete (Ising--like) models in equilibrium statistical mechanics, improving on the mean--field approximation and the Bethe--Peierls approximation,…

统计力学 · 物理学 2007-07-16 Alessandro Pelizzola

This research introduces a new strategy in cluster ensemble selection by using Independency and Diversity metrics. In recent years, Diversity and Quality, which are two metrics in evaluation procedure, have been used for selecting basic…

机器学习 · 统计学 2016-10-11 Muhammad Yousefnezhad , Ali Reihanian , Daoqiang Zhang , Behrouz Minaei-Bidgoli

We propose a novel methodology for feature screening in clustering massive datasets, in which both the number of features and the number of observations can potentially be very large. Taking advantage of a fusion penalization based convex…

统计方法学 · 统计学 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

VARCLUST algorithm is proposed for clustering variables under the assumption that variables in a given cluster are linear combinations of a small number of hidden latent variables, corrupted by the random noise. The entire clustering task…

We analyze the clustering problem through a flexible probabilistic model that aims to identify an optimal partition on the sample X 1 , ..., X n. We perform exact clustering with high probability using a convex semidefinite estimator that…

统计理论 · 数学 2017-05-19 Martin Royer

In this paper we propose a measure of clustering quality or accuracy that is appropriate in situations where it is desirable to evaluate a clustering algorithm by somehow comparing the clusters it produces with ``ground truth' consisting of…

机器学习 · 计算机科学 2013-01-07 Byron E Dom

Currently, data-driven discovery in biological sciences resides in finding segmentation strategies in multivariate data that produce sensible descriptions of the data. Clustering is but one of several approaches and sometimes falls short…

定量方法 · 定量生物学 2022-08-12 Richard Tjörnhammar

Background. Clustering analysis discovers hidden structures in a data set by partitioning them into disjoint clusters. Robust accuracy measures that evaluate the goodness of clustering results are critical for algorithm development and…

机器学习 · 计算机科学 2021-09-06 Navid Ahmadinejad , Li Liu

Density Peak Clustering (DPC), a popular density-based clustering approach, has received considerable attention from the research community primarily due to its simplicity and fewer-parameter requirement. However, the resultant clusters…

数据库 · 计算机科学 2020-07-24 Zafaryab Rasool , Rui Zhou , Lu Chen , Chengfei Liu , Jiajie Xu

Given a weighted and complete graph G = (V, E), V denotes the set of n objects to be clustered, and the weight d(u, v) associated with an edge (u, v) belonging to E denotes the dissimilarity between objects u and v. The diameter of a…

数据结构与算法 · 计算机科学 2012-06-22 Jiabing Wang , Jiaye Chen

High-resolution N-body simulations are used to investigate systematic trends in the mass profiles and total masses of clusters as derived from 3 simple estimators: (1) the weak gravitational lensing shear field under the assumption of an…

This paper proposes a centroid-based clustering algorithm which is capable of clustering data-points with n-features, without having to specify the number of clusters to be formed. The core logic behind the algorithm is a similarity…

机器学习 · 计算机科学 2020-10-08 Rabindra Lamsal , Shubham Katiyar

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

机器学习 · 统计学 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Clustering attempts to partition data instances into several distinctive groups, while the similarities among data belonging to the common partition can be principally reserved. Furthermore, incomplete data frequently occurs in many…

机器学习 · 计算机科学 2022-08-30 Miao Cheng , Xinge You

Fuzzy c-means clustering is widely used to identify cluster structures in high-dimensional data sets, such as those obtained in DNA microarray and quantitative proteomics experiments. One of its main limitations is the lack of a…

定量方法 · 定量生物学 2010-04-09 Veit Schwämmle , Ole N. Jensen

Clustering ensemble has emerged as an important research topic in the field of machine learning. Although numerous methods have been proposed to improve clustering quality, most existing approaches overlook the need for interpretability in…

机器学习 · 计算机科学 2025-06-09 Hang Lv , Lianyu Hu , Mudi Jiang , Xinying Liu , Zengyou He

Hierarchical clustering is a powerful tool for exploratory data analysis, organizing data into a tree of clusterings from which a partition can be chosen. This paper generalizes these ideas by proving that, for any reasonable hierarchy, one…

Internal measures that are used to assess the quality of a clustering usually take into account intra-group and/or inter-group criteria. There are many papers in the literature that propose algorithms with provable approximation guarantees…

机器学习 · 计算机科学 2024-01-17 Eduardo S. Laber , Lucas Murtinho