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Related papers: Evaluating and Validating Cluster Results

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Identifying the number $K$ of clusters in a dataset is one of the most difficult problems in clustering analysis. A choice of $K$ that correctly characterizes the features of the data is essential for building meaningful clusters. In this…

Methodology · Statistics 2019-05-06 Adriano Zanin Zambom , Julian A. Collazos , Ronaldo Dias

Being able to evaluate the quality of a clustering result even in the absence of ground truth cluster labels is fundamental for research in data mining. However, most cluster validation indices (CVIs) do not capture noise assignments by…

Machine Learning · Computer Science 2025-12-12 Anna Beer , Lena Krieger , Pascal Weber , Martin Ritzert , Ira Assent , Claudia Plant

Clustering is an unsupervised machine learning task that consists of identifying groups of similar objects. It has numerous applications and is increasingly used in fairness-sensitive domains where objects represent individuals, such as…

Machine Learning · Computer Science 2026-05-14 Claudio Mantuano , Manuel Kammermann , Philipp Baumann

Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Typically clustering algorithms provide clustering solutions with prespecified number of clusters. The lack of a priori knowledge on the true number of underlying clusters in the dataset makes it important to have a metric to compare the…

Machine Learning · Computer Science 2018-11-20 Amber Srivastava , Mayank Baranwal , Srinivasa Salapaka

Recently, two methods have shown outstanding performance for clustering images and jointly learning the feature representation. The first, called Information Maximiz-ing Self-Augmented Training (IMSAT), maximizes the mutual information…

Computer Vision and Pattern Recognition · Computer Science 2019-12-12 Jizong Peng , Christian Desrosiers , Marco Pedersoli

Clustering is one of the most fundamental and wide-spread techniques in exploratory data analysis. Yet, the basic approach to clustering has not really changed: a practitioner hand-picks a task-specific clustering loss to optimize and fit…

Machine Learning · Computer Science 2019-11-01 Yibo Jiang , Nakul Verma

Clustering is a data analysis method for extracting knowledge by discovering groups of data called clusters. Among these methods, state-of-the-art density-based clustering methods have proven to be effective for arbitrary-shaped clusters.…

Machine Learning · Computer Science 2023-10-26 Nabil El Malki , Robin Cugny , Olivier Teste , Franck Ravat

Clustering is the problem of separating a set of objects into groups (called clusters) so that objects within the same cluster are more similar to each other than to those in different clusters. Spectral clustering is a now well-known…

Machine Learning · Computer Science 2012-11-16 B. Cung , T. Jin , J. Ramirez , A. Thompson , C. Boutsidis , D. Needell

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

Data Structures and Algorithms · Computer Science 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

The description of complex configuration is a difficult issue. We present a powerful technique for cluster identification and characterization. The scheme is designed to treat with and analyze the experimental and/or simulation data from…

Statistical Mechanics · Physics 2013-08-29 Guangcai Zhang , Aiguo Xu , Guo Lu , Zeyao Mo

The paper presents the algorithm for clustering a dataset by grouping the optimal, from the point of view of the BIC criterion, number of Gaussian clusters into the optimal, from the point of view of their statistical separability,…

Machine Learning · Computer Science 2023-10-31 Oleg I. Berngardt

A new interpoint distance-based measure is proposed to identify the optimal number of clusters present in a data set. Designed in nonparametric approach, it is independent of the distribution of given data. Interpoint distances between the…

Machine Learning · Computer Science 2022-10-18 Soumita Modak

We introduce a fast and explainable clustering method called CLASSIX. It consists of two phases, namely a greedy aggregation phase of the sorted data into groups of nearby data points, followed by the merging of groups into clusters. The…

Machine Learning · Computer Science 2024-02-16 Xinye Chen , Stefan Güttel

A hierarchical scheme for clustering data is presented which applies to spaces with a high number of dimension ($N_{_{D}}>3$). The data set is first reduced to a smaller set of partitions (multi-dimensional bins). Multiple clustering…

Data Analysis, Statistics and Probability · Physics 2017-10-16 Kevin McIlhany , Stephen Wiggins

The problem of estimating the number of clusters (say k) is one of the major challenges for the partitional clustering. This paper proposes an algorithm named k-SCC to estimate the optimal k in categorical data clustering. For the…

Machine Learning · Computer Science 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

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…

Methodology · Statistics 2017-10-05 Trambak Banerjee , Gourab Mukherjee , Peter Radchenko

We continue the investigation of problems concerning correlation clustering or clustering with qualitative information, which is a clustering formulation that has been studied recently. The basic setup here is that we are given as input a…

Data Structures and Algorithms · Computer Science 2007-05-23 Ioannis Giotis , Venkatesan Guruswami

To evaluate clustering results is a significant part of cluster analysis. There are no true class labels for clustering in typical unsupervised learning. Thus, a number of internal evaluations, which use predicted labels and data, have been…

Machine Learning · Computer Science 2021-01-06 Shuyue Guan , Murray Loew

We propose a novel method for clustering data which is grounded in information-theoretic principles and requires no parametric assumptions. Previous attempts to use information theory to define clusters in an assumption-free way are based…

Machine Learning · Computer Science 2014-02-07 Greg Ver Steeg , Aram Galstyan , Fei Sha , Simon DeDeo