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With the membership function being strictly positive, the conventional fuzzy c-means clustering method sometimes causes imbalanced influence when clusters of vastly different sizes exist. That is, an outstandingly large cluster drags to its…

Machine Learning · Statistics 2023-03-28 Akira R. Kinjo , Daphne Teck Ching Lai

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

Feature selection is a vital technique in machine learning, as it can reduce computational complexity, improve model performance, and mitigate the risk of overfitting. However, the increasing complexity and dimensionality of datasets pose…

Machine Learning · Computer Science 2024-07-24 Yuepeng Chen , Weiping Ding , Hengrong Ju , Jiashuang Huang , Tao Yin

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

Security is one of the major concerns in Industrial Wireless Sensor Networks (IWSNs). To assure the security in clustered IWSNs, this paper presents a secure clustering protocol with fuzzy trust evaluation and outlier detection (SCFTO).…

Networking and Internet Architecture · Computer Science 2022-07-21 Liu Yang , Yinzhi Lu , Simon X. Yang , Tan Guo , Zhifang Liang

In this paper, we propose a new fuzzy clustering algorithm based on the mode-seeking framework. Given a dataset in $\mathbb{R}^d$, we define regions of high density that we call cluster cores. We then consider a random walk on a…

Machine Learning · Statistics 2016-06-23 Thomas Bonis , Steve Oudot

Clustering multivariate time series data is a crucial task in many domains, as it enables the identification of meaningful patterns and groups in time-evolving data. Traditional approaches, such as crisp clustering, rely on the assumption…

Methodology · Statistics 2025-09-05 Ziling Ma , Ángel López-Oriona , Hernando Ombao , Ying Sun

Cluster analysis is used to explore structure in unlabeled data sets in a wide range of applications. An important part of cluster analysis is validating the quality of computationally obtained clusters. A large number of different internal…

Machine Learning · Statistics 2018-01-10 Masud Moshtaghi , James C. Bezdek , Sarah M. Erfani , Christopher Leckie , James Bailey

Like k-means and Gaussian Mixture Model (GMM), fuzzy c-means (FCM) with soft partition has also become a popular clustering algorithm and still is extensively studied. However, these algorithms and their variants still suffer from some…

Machine Learning · Computer Science 2020-04-28 Yunxia Lin , Songcan Chen

Finding "true" clusters in a data set is a challenging problem. Clustering solutions obtained using different models and algorithms do not necessarily provide compact and well-separated clusters or the optimal number of clusters. Cluster…

Machine Learning · Computer Science 2026-03-12 Adil M. Bagirov , Ramiz M. Aliguliyev , Nargiz Sultanova , Sona Taheri

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…

Methodology · Statistics 2020-09-10 Christian Hennig

Multi-view data clustering refers to categorizing a data set by making good use of related information from multiple representations of the data. It becomes important nowadays because more and more data can be collected in a variety of…

Artificial Intelligence · Computer Science 2016-09-16 Yangtao Wang , Lihui Chen

Time series clustering is a central machine learning task with applications in many fields. While the majority of the methods focus on real-valued time series, very few works consider series with discrete response. In this paper, the…

Machine Learning · Statistics 2023-04-25 Ángel López Oriona , Christian Weiss , José Antonio Vilar

A new clustering accuracy measure is proposed to determine the unknown number of clusters and to assess the quality of clustering of a data set given in any dimensional space. Our validity index applies the classical nonparametric…

Methodology · Statistics 2022-02-15 Soumita Modak

Clustering is an extensive research area in data science. The aim of clustering is to discover groups and to identify interesting patterns in datasets. Crisp (hard) clustering considers that each data point belongs to one and only one…

Machine Learning · Computer Science 2018-08-02 Aybükë Oztürk , Stéphane Lallich , Jérôme Darmont , Sylvie Yona Waksman

This paper addresses the ambitious goal of merging two different approaches to group detection in complex domains: one based on fuzzy clustering and the other on community detection theory. To achieve this, two clustering algorithms are…

Determining the appropriate number of clusters in unsupervised learning is a central problem in statistics and data science. Traditional validity indices such as Calinski-Harabasz, Silhouette, and Davies-Bouldin-depend on centroid-based…

Machine Learning · Statistics 2025-10-17 Mohammed Baragilly , Hend Gabr

Validation is one of the most important aspects of clustering, but most approaches have been batch methods. Recently, interest has grown in providing incremental alternatives. This paper extends the incremental cluster validity index (iCVI)…

Machine Learning · Computer Science 2019-02-19 Leonardo Enzo Brito da Silva , Niklas M. Melton , Donald C. Wunsch

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…

Methodology · Statistics 2020-06-24 Serhat Emre Akhanli , Christian Hennig

Fuzzy clustering, which allows an article to belong to multiple clusters with soft membership degrees, plays a vital role in analyzing publication data. This problem can be formulated as a constrained optimization model, where the goal is…

Optimization and Control · Mathematics 2025-06-05 Vu Thi Huong , Ida Litzel , Thorsten Koch