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Many cluster similarity indices are used to evaluate clustering algorithms, and choosing the best one for a particular task remains an open problem. We demonstrate that this problem is crucial: there are many disagreements among the…

Discrete Mathematics · Computer Science 2021-08-27 Martijn Gösgens , Alexey Tikhonov , Liudmila Prokhorenkova

In a standard cluster analysis, such as k-means, in addition to clusters locations and distances between them, it's important to know if they are connected or well separated from each other. The main focus of this paper is discovering the…

Machine Learning · Statistics 2017-05-22 Evgeny Bauman , Konstantin Bauman

Data clustering, the task of grouping observations according to their similarity, is a key component of unsupervised learning -- with real world applications in diverse fields such as biology, medicine, and social science. Often in these…

Machine Learning · Computer Science 2023-09-20 Anne Sophie Riis Damstrup , Sofie Tosti Madsen , Michele Coscia

Distance-based clustering and classification are widely used in various fields to group mixed numeric and categorical data. In many algorithms, a predefined distance measurement is used to cluster data points based on their dissimilarity.…

Machine Learning · Computer Science 2024-10-14 Jesse S. Ghashti , John R. J. Thompson

Although distance measures are used in many machine learning algorithms, the literature on the context-independent selection and evaluation of distance measures is limited in the sense that prior knowledge is used. In cluster analysis,…

Machine Learning · Computer Science 2021-08-24 Michael C. Thrun

The method used to measure relationships between face embeddings plays a crucial role in determining the performance of face clustering. Existing methods employ the Jaccard similarity coefficient instead of the cosine distance to enhance…

Computer Vision and Pattern Recognition · Computer Science 2026-01-08 Dafeng Zhang , Yongqi Song , Shizhuo Liu

Clustering under pairwise constraints is an important knowledge discovery tool that enables the learning of appropriate kernels or distance metrics to improve clustering performance. These pairwise constraints, which come in the form of…

Machine Learning · Computer Science 2022-03-24 Benedikt Boecking , Vincent Jeanselme , Artur Dubrawski

This paper presents a new, parallel implementation of clustering and demonstrates its utility in greatly speeding up the process of identifying homologous proteins. Clustering is a technique to reduce the number of comparison needed to find…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-08-29 Stuart Byma , Akash Dhasade , Adrian Altenhoff , Christophe Dessimoz , James R. Larus

One basic requirement of many studies is the necessity of classifying data. Clustering is a proposed method for summarizing networks. Clustering methods can be divided into two categories named model-based approaches and algorithmic…

Machine Learning · Computer Science 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Measuring graph clustering quality remains an open problem. To address it, we introduce quality measures based on comparisons of intra- and inter-cluster densities, an accompanying statistical test of the significance of their differences…

Social and Information Networks · Computer Science 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

We propose a distance between two realizations of a random process where for each realization only sparse and irregularly spaced measurements with additional measurement errors are available. Such data occur commonly in longitudinal studies…

Applications · Statistics 2008-11-17 Jie Peng , Hans-Georg Müller

Contemporary deep clustering approaches often rely on either contrastive or non-contrastive techniques to acquire effective representations for clustering tasks. Contrastive methods leverage negative pairs to achieve homogenous…

Machine Learning · Computer Science 2023-11-03 Abhishek Kumar , Dong-Gyu Lee

We describe the DISC (Different Individuals, Same Clusters) design, a sampling scheme that can improve the precision of difference-in-differences (DID) estimators in settings involving repeated sampling of a population at multiple time…

Methodology · Statistics 2025-08-21 Jordan Downey , Avi Kenny

There is an extensive set of methods to determine sparse sources from mixtures where the mixing coefficients are unknown. Each method involves plotting N sets of mixed data against each other in N-dimensional space. In the approach adopted…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Malcolm Woolfson

Complex systems are usually represented as an intricate set of relations between their components forming a complex graph or network. The understanding of their functioning and emergent properties are strongly related to their structural…

Data Analysis, Statistics and Probability · Physics 2014-01-08 Sergio Gomez , Alberto Fernandez , Clara Granell , Alex Arenas

To evaluate clustering results is a significant part of cluster analysis. Since there are no true class labels for clustering in typical unsupervised learning, many internal cluster validity indices (CVIs), which use predicted labels and…

Machine Learning · Computer Science 2021-06-21 Shuyue Guan , Murray Loew

Recent deep clustering models have produced impressive clustering performance. However, a common issue with existing methods is the disparity between global and local feature structures. While local structures typically show strong…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Hanyang Li , Yuheng Jia , Hui Liu , Junhui Hou

Correlation clustering is a widely studied framework for clustering based on pairwise similarity and dissimilarity scores, but its best approximation algorithms rely on impractical linear programming relaxations. We present faster…

Data Structures and Algorithms · Computer Science 2022-06-27 Nate Veldt

Ensemble clustering has been a popular research topic in data mining and machine learning. Despite its significant progress in recent years, there are still two challenging issues in the current ensemble clustering research. First, most of…

Machine Learning · Computer Science 2018-10-31 Dong Huang , Chang-Dong Wang , Hongxing Peng , Jianhuang Lai , Chee-Keong Kwoh

K-means algorithm is a very popular clustering algorithm which is famous for its simplicity. Distance measure plays a very important rule on the performance of this algorithm. We have different distance measure techniques available. But…

Machine Learning · Computer Science 2014-05-30 Mr. Dibya Jyoti Bora , Dr. Anil Kumar Gupta