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Cluster analysis methods are used to identify homogeneous subgroups in a data set. In biomedical applications, one frequently applies cluster analysis in order to identify biologically interesting subgroups. In particular, one may wish to…

统计方法学 · 统计学 2016-09-23 Sheila Gaynor , Eric Bair

Clustering is an essential data mining tool that aims to discover inherent cluster structure in data. For most applications, applying clustering is only appropriate when cluster structure is present. As such, the study of clusterability,…

机器学习 · 统计学 2018-10-30 A. Adolfsson , M. Ackerman , N. C. Brownstein

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

In this study, we employ the recently developed recurrence microstate probabilities as features to improve accuracy of several well-established machine learning (ML) algorithms. These algorithms are applied to classify discrete and…

混沌动力学 · 物理学 2025-12-15 J. V. M. Silveira , H. C. Costa , G. S. Spezzatto , T. L. Prado , S. R. Lopes

In this paper we propose a framework inspired by interacting particle physics and devised to perform clustering on multidimensional datasets. To this end, any given dataset is modeled as an interacting particle system, under the assumption…

统计力学 · 物理学 2012-07-26 Giuliano Armano , Marco Alberto Javarone

We propose a novel approach to the problem of multilevel clustering, which aims to simultaneously partition data in each group and discover grouping patterns among groups in a potentially large hierarchically structured corpus of data. Our…

机器学习 · 统计学 2017-06-14 Nhat Ho , XuanLong Nguyen , Mikhail Yurochkin , Hung Hai Bui , Viet Huynh , Dinh Phung

Although the validation step can appear crucial in the case of clustering adopting fuzzy approaches, the problem of the partition validity obtained by those adopting the hard ones was not tackled. To cure this problem, we propose in this…

其他计算机科学 · 计算机科学 2012-04-17 Minyar Sassi

Clustering is an unsupervised learning problem that aims to partition unlabelled data points into groups with similar features. Traditional clustering algorithms provide limited insight into the groups they find as their main focus is…

机器学习 · 计算机科学 2022-10-18 Connor Lawless , Oktay Gunluk

A general framework for dealing with both linear regression and clustering problems is described. It includes Gaussian clusterwise linear regression analysis with random covariates and cluster analysis via Gaussian mixture models with…

统计方法学 · 统计学 2015-10-13 Giuliano Galimberti , Annamaria Manisi , Gabriele Soffritti

With rapidly increasing data, clustering algorithms are important tools for data analytics in modern research. They have been successfully applied to a wide range of domains; for instance, bioinformatics, speech recognition, and financial…

数据结构与算法 · 计算机科学 2015-12-01 Ka-Chun Wong

Clustering is a fundamental task in data mining and machine learning, particularly for analyzing large-scale data. In this paper, we introduce Clust-Splitter, an efficient algorithm based on nonsmooth optimization, designed to solve the…

机器学习 · 计算机科学 2026-03-19 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

This paper investigates fuzzy nonlinear system equations using an optimization approach. Here, the inner-outer direct search technique is used with fuzzy coefficients and vectors to quantify the uncertain solution. The fuzzy nonlinear…

最优化与控制 · 数学 2022-06-02 Paresh Kumar Panigrahi , Sukanta Nayak , Sudipta Priyadarshini

Subspace clustering is an important unsupervised clustering approach. It is based on the assumption that the high-dimensional data points are approximately distributed around several low-dimensional linear subspaces. The majority of the…

机器学习 · 计算机科学 2021-12-20 Maryam Abdolali , Nicolas Gillis

This work presents an unsupervised deep discriminant analysis for clustering. The method is based on deep neural networks and aims to minimize the intra-cluster discrepancy and maximize the inter-cluster discrepancy in an unsupervised…

机器学习 · 计算机科学 2022-06-13 Jinyu Cai , Wenzhong Guo , Jicong Fan

Given a set of variables and the correlations among them, we develop a method for finding clustering among the variables. The method takes advantage of information implicit in higher-order (not just pairwise) correlations. The idea is to…

统计力学 · 物理学 2015-05-13 L. S. Schulman

A novel elastic time distance for sparse multivariate functional data is proposed and used to develop a robust distance-based two-layer partition clustering method. With this proposed distance, the new approach not only can detect correct…

统计方法学 · 统计学 2023-03-21 Zhuo Qu , Wenlin Dai , Marc G. Genton

Inconsistency in prediction problems occurs when instances that relate in a certain way on condition attributes, do not follow the same relation on the decision attribute. For example, in ordinal classification with monotonicity…

人工智能 · 计算机科学 2021-11-29 Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

When considering answering important questions with data, unsupervised data offers extensive insight opportunity and unique challenges. This study considers student survey data with a specific goal of clustering students into like groups…

计算机与社会 · 计算机科学 2018-12-14 Kathleen Campbell Garwood , Ph. D. , Arpit Arun Dhobale

Model-based clustering is widely used for identifying and distinguishing types of diseases. However, modern biomedical data coming with high dimensions make it challenging to perform the model estimation in traditional cluster analysis. The…

统计方法学 · 统计学 2025-07-22 Kazeem Kareem , Fan Dai

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…

机器学习 · 计算机科学 2020-04-28 Yunxia Lin , Songcan Chen