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Data clustering is an approach to seek for structure in sets of complex data, i.e., sets of "objects". The main objective is to identify groups of objects which are similar to each other, e.g., for classification. Here, an introduction to…

数据分析、统计与概率 · 物理学 2016-02-17 Alexander K. Hartmann

The Tabu Search (TS) metaheuristic has been proposed for K-Means clustering as an alternative to Lloyd's algorithm, which for all its ease of implementation and fast runtime, has the major drawback of being trapped at local optima. While…

机器学习 · 计算机科学 2017-03-27 Kojo Sarfo Gyamfi , James Brusey , Andrew Hunt

This paper presents a novel method for clustering surfaces. The proposal involves first using basis functions in a tensor product to smooth the data and thus reduce the dimension to a finite number of coefficients, and then using these…

统计方法学 · 统计学 2021-02-04 Adriano Zanin Zambom , Qing Wang , Ronaldo Dias

Given a set V of n elements on m attributes, we want to find a partition of V on the minimum number of clusters such that the associated R-squared ratio is at least a given threshold. We denote this problem as Goal Clustering (GC). This…

离散数学 · 计算机科学 2017-09-22 Pedro Martins

As datasets continue to grow in size and complexity, finding succinct yet accurate data summaries poses a key challenge. Centroid-based clustering, a widely adopted approach to address this challenge, finds informative summaries of datasets…

机器学习 · 计算机科学 2026-03-11 Martino Ciaperoni , Collin Leiber , Aristides Gionis , Heikki Mannila

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

Keeping in consideration the high demand for clustering, this paper focuses on understanding and implementing K-means clustering using two different similarity measures. We have tried to cluster the documents using two different measures…

信息检索 · 计算机科学 2015-05-04 Manan Mohan Goyal , Neha Agrawal , Manoj Kumar Sarma , Nayan Jyoti Kalita

The problem of constrained clustering has attracted significant attention in the past decades. In this paper, we study the balanced $k$-center, $k$-median, and $k$-means clustering problems where the size of each cluster is constrained by…

计算几何 · 计算机科学 2018-09-11 Hu Ding

We propose a novel clustering model encompassing two well-known clustering models: k-center clustering and k-median clustering. In the Hybrid k-Clusetring problem, given a set P of points in R^d, an integer k, and a non-negative real r, our…

数据结构与算法 · 计算机科学 2024-07-12 Fedor V. Fomin , Petr A. Golovach , Tanmay Inamdar , Saket Saurabh , Meirav Zehavi

"Clustering" the significance and application of this technique is spread over various fields. Clustering is an unsupervised process in data mining, that is why the proper evaluation of the results and measuring the compactness and…

数据库 · 计算机科学 2014-12-01 Lopamudra Dey , Sanjay Chakraborty

Educators evaluate student knowledge using knowledge component (KC) models that map assessment questions to KCs. Still, designing KC models for large question banks remains an insurmountable challenge for instructors who need to analyze…

人工智能 · 计算机科学 2025-09-19 Yumou Wei , Paulo Carvalho , John Stamper

Advances made to the traditional clustering algorithms solves the various problems such as curse of dimensionality and sparsity of data for multiple attributes. The traditional H-K clustering algorithm can solve the randomness and apriority…

数据库 · 计算机科学 2015-01-13 Rashmi Paithankar , Bharat Tidke

This paper provides new algorithms for distributed clustering for two popular center-based objectives, k-median and k-means. These algorithms have provable guarantees and improve communication complexity over existing approaches. Following…

机器学习 · 计算机科学 2020-01-28 Maria Florina Balcan , Steven Ehrlich , Yingyu Liang

In this work we propose a clustering framework based on the paradigm of transform learning. In simple terms the representation from transform learning is used for K-means clustering; however, the problem is not solved in such a na\"ive…

机器学习 · 计算机科学 2021-11-30 Anurag Goel , Angshul Majumdar

Importance of document clustering is now widely acknowledged by researchers for better management, smart navigation, efficient filtering, and concise summarization of large collection of documents like World Wide Web (WWW). The next…

信息检索 · 计算机科学 2011-12-30 Muhammad Rafi , M. Shahid Shaikh , Amir Farooq

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

A novel framework for consensus clustering is presented which has the ability to determine both the number of clusters and a final solution using multiple algorithms. A consensus similarity matrix is formed from an ensemble using multiple…

机器学习 · 统计学 2014-08-06 Shaina Race , Carl Meyer

In longitudinal data analysis, observation points of repeated measurements over time often vary among subjects except in well-designed experimental studies. Additionally, measurements for each subject are typically obtained at only a few…

统计方法学 · 统计学 2024-11-14 Michio Yamamoto , Yoshikazu Terada

Convex clustering is a modern method with both hierarchical and $k$-means clustering characteristics. Although convex clustering can capture complex clustering structures hidden in data, the existing convex clustering algorithms are not…

机器学习 · 统计学 2023-12-22 Daniel J. W. Touw , Patrick J. F. Groenen , Yoshikazu Terada

This paper presents a novel centroid-based heuristic algorithm, termed Kempe Swap K-Means, for constrained clustering under rigid must-link (ML) and cannot-link (CL) constraints. The algorithm employs a dual-phase iterative process: an…

机器学习 · 计算机科学 2026-03-31 Yuxuan Ren , Shijie Deng