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There are many cluster analysis methods that can produce quite different clusterings on the same dataset. Cluster validation is about the evaluation of the quality of a clustering; "relative cluster validation" is about using such criteria…

统计方法学 · 统计学 2020-09-10 Christian Hennig

A key issue in cluster analysis is the choice of an appropriate clustering method and the determination of the best number of clusters. Different clusterings are optimal on the same data set according to different criteria, and the choice…

统计方法学 · 统计学 2020-06-24 Serhat Emre Akhanli , Christian Hennig

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…

统计计算 · 统计学 2019-04-09 Xin Huang , Yulia R. Gel

Machine learning and deep learning classification models are data-driven, and the model and the data jointly determine their classification performance. It is biased to evaluate the model's performance only based on the classifier accuracy…

机器学习 · 计算机科学 2022-11-11 Lingyan Xue , Xinyu Zhang , Weidong Jiang , Kai Huo

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…

社会与信息网络 · 计算机科学 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

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 analysis is one of the critical tasks in machine learning. Traditionally, clustering has been an independent task, separate from outlier detection. Due to the fact that the performance of clustering can be significantly eroded by…

机器学习 · 计算机科学 2022-08-12 Jiahao Deng , Eli T. Brown

Cluster analysis is widely used in the areas of machine learning and data mining. Fuzzy clustering is a particular method that considers that a data point can belong to more than one cluster. Fuzzy clustering helps obtain flexible clusters,…

机器学习 · 计算机科学 2018-06-06 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont

In high-dimension, low-sample size (HDLSS) data, it is not always true that closeness of two objects reflects a hidden cluster structure. We point out the important fact that it is not the closeness, but the "values" of distance that…

机器学习 · 统计学 2013-12-30 Yoshikazu Terada

Dimensionality reduction (DR) techniques are often characterized by whether they preserve global, high-level structures in the data or local, neighborhood structures. This distinction matters in visualization: global methods can obscure…

机器学习 · 计算机科学 2026-05-04 Kaviru Gunaratne , Stephen Kobourov , Jacob Miller

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

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…

机器学习 · 计算机科学 2022-10-18 Soumita Modak

Evaluating data separation in a geometrical space is fundamental for pattern recognition. A plethora of dimensionality reduction (DR) algorithms have been developed in order to reveal the emergence of geometrical patterns in a low…

机器学习 · 计算机科学 2020-01-01 A. Acevedo , S. Ciucci , MJ. Kuo , C. Duran , CV. Cannistraci

ABCDE is a sophisticated technique for evaluating differences between very large clusterings. Its main metric that characterizes the magnitude of the difference between two clusterings is the JaccardDistance, which is a true distance metric…

信息检索 · 计算机科学 2024-09-30 Stephan van Staden

The paper describes a solution to the problem of quantum measurement that has been proposed recently. The literal understanding of the basic rule of quantum mechanics on identical particles violates the cluster separation principle and so…

量子物理 · 物理学 2011-07-19 Petr Hajicek

Visual clustering is a common perceptual task in scatterplots that supports diverse analytics tasks (e.g., cluster identification). However, even with the same scatterplot, the ways of perceiving clusters (i.e., conducting visual…

人机交互 · 计算机科学 2023-08-14 Hyeon Jeon , Ghulam Jilani Quadri , Hyunwook Lee , Paul Rosen , Danielle Albers Szafir , Jinwook Seo

Nonhierarchical clustering depending on unsupervised algorithms may not retrieve the optimal partition of datasets. Determining if clusters fit ``natural partitions`` can be achieved using cluster validity indices (CVIs). Most existing CVIs…

统计方法学 · 统计学 2019-06-04 Anri Mutoh , Masamichi Wada , Kou Amano

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…

机器学习 · 计算机科学 2013-02-19 Raheleh Namayandeh , Farzad Didehvar , Zahra Shojaei

Careful analysis of cluster separability opens a way to a completely new understanding of preparation and registration procedures for microsystems: they are changes of separation status. An important observation is that quantum mechanics…

量子物理 · 物理学 2010-03-23 Petr Hajicek

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. As such, the study of clusterability, which evaluates whether data possesses such structure, is an integral part of cluster analysis. Yet,…

机器学习 · 计算机科学 2016-02-24 Margareta Ackerman , Andreas Adolfsson , Naomi Brownstein