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We propose a new method for clustering based on the local minimization of the \gamma-divergence, which we call the spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters…

统计方法学 · 统计学 2013-05-01 Akifumi Notsu , Osamu Komori , Shinto Eguchi

Determining the number of clusters is a fundamental issue in data clustering. Several algorithms have been proposed, including centroid-based algorithms using the Euclidean distance and model-based algorithms using a mixture of probability…

机器学习 · 计算机科学 2024-07-30 Ryosuke Motegi , Yoichi Seki

Large textual corpora are often represented by the document-term frequency matrix whose elements are the frequency of terms; however, this matrix has two problems: sparsity and high dimensionality. Four dimension reduction strategies are…

计算与语言 · 计算机科学 2019-09-25 Amir Karami

This paper considers a network of sensors without fusion center that may be difficult to set up in applications involving sensors embedded on autonomous drones or robots. In this context, this paper considers that the sensors must perform a…

统计理论 · 数学 2017-06-13 Dominique Pastor , Elsa Dupraz , François-Xavier Socheleau

Clustering is one of the widely used techniques to find out patterns from a dataset that can be applied in different applications or analyses. K-means, the most popular and simple clustering algorithm, might get trapped into local minima if…

机器学习 · 计算机科学 2022-10-19 Zillur Rahman , Md. Sabir Hossain , Mohammad Hasan , Ahmed Imteaj

The estimation of modal parameters from a set of noisy measured data is a highly judgmental task, with user expertise playing a significant role in distinguishing between estimated physical and noise modes of a test-piece. Various methods…

应用统计 · 统计学 2017-09-13 Vahid Yaghoubi , Majid K. Vakilzadeh , Thomas J. S. Abrahamsson

Clustering, a fundamental activity in unsupervised learning, is notoriously difficult when the feature space is high-dimensional. Fortunately, in many realistic scenarios, only a handful of features are relevant in distinguishing clusters.…

机器学习 · 统计学 2020-10-23 Zhiyue Zhang , Kenneth Lange , Jason Xu

Fair clustering aims to divide data into distinct clusters while preventing sensitive attributes (\textit{e.g.}, gender, race, RNA sequencing technique) from dominating the clustering. Although a number of works have been conducted and…

机器学习 · 计算机科学 2023-04-24 Pengxin Zeng , Yunfan Li , Peng Hu , Dezhong Peng , Jiancheng Lv , Xi Peng

Fuzzy Rule-Based Classification Systems (FRBCSs) have the potential to provide so-called interpretable classifiers, i.e. classifiers which can be introspective, understood, validated and augmented by human experts by relying on fuzzy-set…

人工智能 · 计算机科学 2016-07-22 Javier Navarro , Christian Wagner , Uwe Aickelin

High-dimensional datasets often contain multiple meaningful clusterings in different subspaces. For example, objects can be clustered either by color, weight, or size, revealing different interpretations of the given dataset. A variety of…

机器学习 · 计算机科学 2025-04-08 Collin Leiber , Dominik Mautz , Claudia Plant , Christian Böhm

In this paper, based on a fuzzy entropy feature selection framework, different methods have been implemented and compared to improve the key components of the framework. Those methods include the combinations of three ideal vector…

机器学习 · 计算机科学 2020-05-22 Zixiao Shen , Xin Chen , Jonathan M. Garibaldi

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

k-means has recently been recognized as one of the best algorithms for clustering unsupervised data. Since k-means depends mainly on distance calculation between all data points and the centers, the time cost will be high when the size of…

数据结构与算法 · 计算机科学 2011-08-08 Raied Salman , Vojislav Kecman , Qi Li , Robert Strack , Erik Test

Popular clustering algorithms based on usual distance functions (e.g., Euclidean distance) often suffer in high dimension, low sample size (HDLSS) situations, where concentration of pairwise distances has adverse effects on their…

统计方法学 · 统计学 2019-05-03 Soham Sarkar , Anil K. Ghosh

Variable selection in cluster analysis is important yet challenging. It can be achieved by regularization methods, which realize a trade-off between the clustering accuracy and the number of selected variables by using a lasso-type penalty.…

统计方法学 · 统计学 2016-12-23 Marbac Matthieu , Sedki Mohammed

In this work we addressed the issue of applying a stochastic classifier and a local, fuzzy confusion matrix under the framework of multi-label classification. We proposed a novel solution to the problem of correcting label pairwise…

机器学习 · 计算机科学 2018-02-08 Pawel Trajdos , Marek Kurzynski

Instead of directly utilizing an observed image including some outliers, noise or intensity inhomogeneity, the use of its ideal value (e.g. noise-free image) has a favorable impact on clustering. Hence, the accurate estimation of the…

计算机视觉与模式识别 · 计算机科学 2020-10-12 Cong Wang , Witold Pedrycz , ZhiWu Li , MengChu Zhou , Jun Zhao

Clustering algorithms have long been the topic of research, representing the more popular side of unsupervised learning. Since clustering analysis is one of the best ways to find some clarity and structure within raw data, this paper…

机器学习 · 计算机科学 2025-11-25 Naitik Gada

In this paper we introduce two procedures for variable selection in cluster analysis and classification rules. One is mainly oriented to detect the noisy non-informative variables, while the other deals also with multicolinearity. A…

统计理论 · 数学 2023-12-29 Ricardo Fraiman , Ana Justel , Marcela Svarc

This paper concerns the critical decision process of extracting or selecting the features before applying a clustering algorithm. It is not obvious to evaluate the importance of the features since the most popular methods to do it are…

机器学习 · 计算机科学 2021-11-23 Jean-Sebastien Dessureault , Daniel Massicotte