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The adjusted Rand index (ARI) is commonly used in cluster analysis to measure the degree of agreement between two data partitions. Since its introduction, exploring the situations of extreme agreement and disagreement under different…

Machine Learning · Statistics 2020-12-10 José E. Chacón , Ana I. Rastrojo

The Adjusted Rand Index ($ARI$) is arguably one of the most popular measures for cluster comparison. The adjustment of the $ARI$ is based on a hypergeometric distribution assumption which is unsatisfying from a modeling perspective as (i)…

Methodology · Statistics 2020-11-18 Martina Sundqvist , Julien Chiquet , Guillem Rigaill

The misclassification error distance and the adjusted Rand index are two of the most commonly used criteria to evaluate the performance of clustering algorithms. This paper provides an in-depth comparison of the two criteria, aimed to…

Machine Learning · Statistics 2019-07-29 José E. Chacón

This paper investigates the application of consensus clustering and meta-clustering to the set of all possible partitions of a data set. We show that when using a "complement" of Rand Index as a measure of cluster similarity, the…

Artificial Intelligence · Computer Science 2017-02-14 Mieczysław Kłopotek

Adjusted for chance measures are widely used to compare partitions/clusterings of the same data set. In particular, the Adjusted Rand Index (ARI) based on pair-counting, and the Adjusted Mutual Information (AMI) based on Shannon information…

Machine Learning · Statistics 2015-12-07 Simone Romano , Nguyen Xuan Vinh , James Bailey , Karin Verspoor

Comparing clusterings is central to evaluating unsupervised models, yet the many existing similarity measures can produce widely divergent, sometimes contradictory, evaluations. Clustering similarity measures are typically organized into…

Machine Learning · Statistics 2025-11-06 Alexander J. Gates

In unsupervised machine learning, agreement between partitions is commonly assessed with so-called external validity indices. Researchers tend to use and report indices that quantify agreement between two partitions for all clusters…

Machine Learning · Statistics 2019-01-08 Matthijs J. Warrens , Hanneke van der Hoef

This work introduces a refinement of the Parsimonious Model for fitting a Gaussian Mixture. The improvement is based on the consideration of clusters of the involved covariance matrices according to a criterion, such as sharing Principal…

Methodology · Statistics 2024-04-10 David Rodríguez-Vítores , Carlos Matrán

Co-clustering simultaneously clusters rows and columns, revealing more fine-grained groups. However, existing co-clustering methods suffer from poor scalability and cannot handle large-scale data. This paper presents a novel and scalable…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-20 Zihan Wu , Zhaoke Huang , Hong Yan

The goal of co-clustering is to simultaneously identify a clustering of rows as well as columns of a two dimensional data matrix. A number of co-clustering techniques have been proposed including information-theoretic co-clustering and the…

Machine Learning · Computer Science 2020-04-27 Joyce Jiyoung Whang , Inderjit S. Dhillon

Motivation: Clustering is a frequently used concept in variety of bioinformatical applications. We present a new method for hierarchical clustering of data called mutual information clustering (MIC) algorithm. It uses mutual information…

Quantitative Methods · Quantitative Biology 2007-05-23 Alexander Kraskov , Harald Stögbauer , Ralph G. Andrzejak , Peter Grassberger

A well-known metric for quantifying the similarity between two clusterings is the adjusted mutual information. Compared to mutual information, a corrective term based on random permutations of the labels is introduced, preventing two…

Machine Learning · Computer Science 2021-03-24 Denys Lazarenko , Thomas Bonald

This paper introduces the notion of co-modularity, to co-cluster observations of bipartite networks into co-communities. The task of co-clustering is to group together nodes of one type with nodes of another type, according to the…

Methodology · Statistics 2021-11-09 Thomas E. Bartlett

Co-clustering, that is, partitioning a numerical matrix into homogeneous submatrices, has many applications ranging from bioinformatics to election analysis. Many interesting variants of co-clustering are NP-hard. We focus on the basic…

Discrete Mathematics · Computer Science 2019-06-17 Laurent Bulteau , Vincent Froese , Sepp Hartung , Rolf Niedermeier

A measure of distance between two clusterings has important applications, including clustering validation and ensemble clustering. Generally, such distance measure provides navigation through the space of possible clusterings. Mostly used…

Social and Information Networks · Computer Science 2015-09-01 Reihaneh Rabbany , Osmar R. Zaïane

In this paper, we address the problem of classifying data within the radar reference window in terms of statistical properties. Specifically, we partition these data into statistically homogeneous subsets by identifying possible clutter…

Signal Processing · Electrical Eng. & Systems 2023-02-17 Chaoran Yin , Linjie Yan , Chengpeng Hao , Silvia Liberata Ullo , Gaetano Giunta , Alfonso Farina , Danilo Orlando

There is no, nor will there ever be, single best clustering algorithm. Nevertheless, we would still like to be able to distinguish between methods that work well on certain task types and those that systematically underperform. Clustering…

Machine Learning · Computer Science 2025-10-16 Marek Gagolewski

Clustering is at the very core of machine learning, and its applications proliferate with the increasing availability of data. However, as datasets grow, comparing clusterings with an adjustment for chance becomes computationally difficult,…

Machine Learning · Computer Science 2023-08-01 Kai Klede , Leo Schwinn , Dario Zanca , Björn Eskofier

We propose a novel method for multiple clustering that assumes a co-clustering structure (partitions in both rows and columns of the data matrix) in each view. The new method is applicable to high-dimensional data. It is based on a…

We develop a new density-based clustering algorithm named CRAD which is based on a new neighbor searching function with a robust data depth as the dissimilarity measure. Our experiments prove that the new CRAD is highly competitive at…

Computation · Statistics 2019-04-09 Xin Huang , Yulia R. Gel
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