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Comparison of three kind of the clustering and find cost function and loss function and calculate them. Error rate of the clustering methods and how to calculate the error percentage always be one on the important factor for evaluating the…

机器学习 · 计算机科学 2014-11-14 Kamran Kowsari

Common clustering algorithms require multiple scans of all the data to achieve convergence, and this is prohibitive when large databases, with data arriving in streams, must be processed. Some algorithms to extend the popular K-means method…

应用统计 · 统计学 2017-12-22 Giacomo Aletti , Alessandra Micheletti

Spectral clustering has found extensive use in many areas. Most traditional spectral clustering algorithms work in three separate steps: similarity graph construction; continuous labels learning; discretizing the learned labels by k-means…

机器学习 · 计算机科学 2017-11-15 Zhao Kang , Chong Peng , Qiang Cheng , Zenglin Xu

Cluster analysis methods seek to partition a data set into homogeneous subgroups. It is useful in a wide variety of applications, including document processing and modern genetics. Conventional clustering methods are unsupervised, meaning…

统计方法学 · 统计学 2014-07-11 Eric Bair

Clustering is widely used in unsupervised learning to find homogeneous groups of observations within a dataset. However, clustering mixed-type data remains a challenge, as few existing approaches are suited for this task. This study…

机器学习 · 统计学 2025-11-26 Badih Ghattas , Alvaro Sanchez San-Benito

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

The popular K-means clustering algorithm potentially suffers from a major weakness for further analysis or interpretation. Some cluster may have disproportionately more (or fewer) points from one of the subpopulations in terms of some…

机器学习 · 计算机科学 2026-02-10 Guancheng Zhou , Haiping Xu , Hongkang Xu , Chenyu Li , Donghui Yan

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 central approach for unsupervised learning. After clustering is applied, the most fundamental analysis is to quantitatively compare clusterings. Such comparisons are crucial for the evaluation of clustering methods as well…

机器学习 · 统计学 2017-10-03 Alexander J Gates , Yong-Yeol Ahn

This paper presents a comparative analysis of different optimization techniques for the K-means algorithm in the context of big data. K-means is a widely used clustering algorithm, but it can suffer from scalability issues when dealing with…

机器学习 · 计算机科学 2024-05-21 Ravil Mussabayev , Rustam Mussabayev

We review clustering as an analysis tool and the underlying concepts from an introductory perspective. What is clustering and how can clusterings be realised programmatically? How can data be represented and prepared for a clustering task?…

机器学习 · 计算机科学 2022-12-05 Jan-Oliver Felix Kapp-Joswig , Bettina G. Keller

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

Clustering large, mixed data is a central problem in data mining. Many approaches adopt the idea of k-means, and hence are sensitive to initialisation, detect only spherical clusters, and require a priori the unknown number of clusters. We…

机器学习 · 统计学 2020-11-13 Joshua Tobin , Mimi Zhang

Clustering in image analysis is a central technique that allows to classify elements of an image. We describe a simple clustering technique that uses the method of similarity matrices. We expand upon recent results in spectral analysis for…

统计理论 · 数学 2022-03-23 Denis Gaidashev , Ralf Pihlström , Martin Ryner

Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

数值分析 · 数学 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

Clustering of variables is as a way to arrange variables into homogeneous clusters, i.e., groups of variables which are strongly related to each other and thus bring the same information. These approaches can then be useful for dimension…

统计计算 · 统计学 2012-12-12 M. Chavent , V. Kuentz , B. Liquet , L. Saracco

The spectral clustering algorithm is often used as a binary clustering method for unclassified data by applying the principal component analysis. To study theoretical properties of the algorithm, the assumption of conditional…

统计理论 · 数学 2025-05-27 Kohei Kawamoto , Yuichi Goto , Koji Tsukuda

Many similarity-based clustering methods work in two separate steps including similarity matrix computation and subsequent spectral clustering. However, similarity measurement is challenging because it is usually impacted by many factors,…

机器学习 · 计算机科学 2017-05-04 Zhao Kang , Chong Peng , Qiang Cheng

The analysis of continously larger datasets is a task of major importance in a wide variety of scientific fields. In this sense, cluster analysis algorithms are a key element of exploratory data analysis, due to their easiness in the…

机器学习 · 统计学 2018-01-10 Marco Capó , Aritz Pérez , Jose A. Lozano

Recently, sparse subspace clustering has been a valid tool to deal with high-dimensional data. There are two essential steps in the framework of sparse subspace clustering. One is solving the coefficient matrix of data, and the other is…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Wen-Jin Fu , Xiao-Jun Wu , He-Feng Yin , Wen-Bo Hu
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