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The evaluation of clustering results is difficult, highly dependent on the evaluated data set and the perspective of the beholder. There are many different clustering quality measures, which try to provide a general measure to validate…

机器学习 · 计算机科学 2022-09-27 Lars Lenssen , Erich Schubert

Clustering ensemble has been a popular research topic in data science due to its ability to improve the robustness of the single clustering method. Many clustering ensemble methods have been proposed, most of which can be categorized into…

机器学习 · 计算机科学 2025-08-28 Feijiang Li , Jieting Wang , Liuya zhang , Yuhua Qian , Shuai jin , Tao Yan , Liang Du

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

机器学习 · 计算机科学 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

Clustering non-Euclidean data is difficult, and one of the most used algorithms besides hierarchical clustering is the popular algorithm Partitioning Around Medoids (PAM), also simply referred to as k-medoids. In Euclidean geometry the…

机器学习 · 计算机科学 2024-07-08 Erich Schubert , Peter J. Rousseeuw

Clustering is a fundamental task in data science with wide-ranging applications. In $k$-medoids clustering, cluster centers must be actual datapoints and arbitrary distance metrics may be used; these features allow for greater…

机器学习 · 计算机科学 2023-10-31 Mo Tiwari , Ryan Kang , Donghyun Lee , Sebastian Thrun , Chris Piech , Ilan Shomorony , Martin Jinye Zhang

Clustering is a ubiquitous task in data science. Compared to the commonly used $k$-means clustering, $k$-medoids clustering requires the cluster centers to be actual data points and support arbitrary distance metrics, which permits greater…

机器学习 · 计算机科学 2020-12-08 Mo Tiwari , Martin Jinye Zhang , James Mayclin , Sebastian Thrun , Chris Piech , Ilan Shomorony

A unified clustering approach that can estimate number of clusters and produce clustering against this number simultaneously is proposed. Average silhouette width (ASW) is a widely used standard cluster quality index. A distance based…

统计方法学 · 统计学 2021-03-02 Fatima Batool

Silhouette coefficient is an established internal clustering evaluation measure that produces a score per data point, assessing the quality of its clustering assignment. To assess the quality of the clustering of the whole dataset, the…

机器学习 · 计算机科学 2024-06-25 John Pavlopoulos , Georgios Vardakas , Aristidis Likas

Clustering non-Euclidean data is difficult, and one of the most used algorithms besides hierarchical clustering is the popular algorithm Partitioning Around Medoids (PAM), also simply referred to as k-medoids clustering. In Euclidean…

机器学习 · 计算机科学 2024-07-08 Erich Schubert , Peter J. Rousseeuw

We propose a simple and efficient clustering method for high-dimensional data with a large number of clusters. Our algorithm achieves high-performance by evaluating distances of datapoints with a subset of the cluster centres. Our…

机器学习 · 计算机科学 2022-03-30 Georgios Exarchakis , Omar Oubari , Gregor Lenz

Sequence clustering in a streaming environment is challenging because it is computationally expensive, and the sequences may evolve over time. K-medoids or Partitioning Around Medoids (PAM) is commonly used to cluster sequences since it…

机器学习 · 计算机科学 2022-06-27 Azqa Nadeem , Sicco Verwer

Determining the number of clusters is a central challenge in unsupervised learning, where ground-truth labels are unavailable. The Silhouette coefficient is a widely used internal validation metric for this task, yet its standard…

机器学习 · 计算机科学 2026-04-16 Aggelos Semoglou , Aristidis Likas , John Pavlopoulos

The Average Silhouette Width (ASW; Rousseeuw (1987)) is a popular cluster validation index to estimate the number of clusters. Here we address the question whether it also is suitable as a general objective function to be optimized for…

机器学习 · 统计学 2020-11-24 Fatima Batool , Christian Hennig

Partitioning Around Medoids (PAM, k-Medoids) is a popular clustering technique to use with arbitrary distance functions or similarities, where each cluster is represented by its most central object, called the medoid or the discrete median.…

机器学习 · 计算机科学 2023-09-07 Lars Lenssen , Erich Schubert

The most widely used internal measure for clustering evaluation is the silhouette coefficient, whose naive computation requires a quadratic number of distance calculations, which is clearly unfeasible for massive datasets. Surprisingly,…

数据结构与算法 · 计算机科学 2021-01-21 Federico Altieri , Andrea Pietracaprina , Geppino Pucci , Fabio Vandin

With the rapid development in mobile network effective network planning tool is needed to satisfy the need of customers. However, deciding upon the optimum placement for the base stations (BS) to achieve best services while reducing the…

网络与互联网体系结构 · 计算机科学 2015-07-19 Lamiaa Fattouh Ibrahim , Manal El Harby

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…

机器学习 · 计算机科学 2025-01-28 Duy-Tai Dinh , Tsutomu Fujinami , Van-Nam Huynh

We study clustering methods for binary data, first defining aggregation criteria that measure the compactness of clusters. Five new and original methods are introduced, using neighborhoods and population behavior combinatorial optimization…

There are various cluster validity indices used for evaluating clustering results. One of the main objectives of using these indices is to seek the optimal unknown number of clusters. Some indices work well for clusters with different…

机器学习 · 统计学 2024-01-09 Nathakhun Wiroonsri

We consider clustering in group decision making where the opinions are given by pairwise comparison matrices. In particular, the k-medoids model is suggested to classify the matrices since it has a linear programming problem formulation…

最优化与控制 · 数学 2025-04-17 Kolos Csaba Ágoston , Sándor Bozóki , László Csató
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