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Clustering is a fundamental unsupervised learning approach. Many clustering algorithms -- such as $k$-means -- rely on the euclidean distance as a similarity measure, which is often not the most relevant metric for high dimensional data…

机器学习 · 计算机科学 2019-10-22 Aude Genevay , Gabriel Dulac-Arnold , Jean-Philippe Vert

Many clustering algorithms exist that estimate a cluster centroid, such as K-means, K-medoids or mean-shift, but no algorithm seems to exist that clusters data by returning exactly K meaningful modes. We propose a natural definition of a…

机器学习 · 计算机科学 2013-04-25 Miguel Á. Carreira-Perpiñán , Weiran Wang

Clustering problems have numerous applications and are becoming more challenging as the size of the data increases. In this paper, we consider designing clustering algorithms that can be used in MapReduce, the most popular programming…

分布式、并行与集群计算 · 计算机科学 2011-09-09 Alina Ene , Sungjin Im , Benjamin Moseley

Matrix profile has been recently proposed as a promising technique to the problem of all-pairs-similarity search on time series. Efficient algorithms have been proposed for computing it, e.g., STAMP, STOMP and SCRIMP++. All these algorithms…

机器学习 · 计算机科学 2019-01-18 Reza Akbarinia , Bertrand Cloez

This paper presents a new statistical method for clustering step data, a popular form of health record data easily obtained from wearable devices. Since step data are high-dimensional and zero-inflated, classical methods such as K-means and…

统计方法学 · 统计学 2020-10-16 Wookyeong Song , Hee-Seok Oh , Yaeji Lim , Ying Kuen Cheung

Clustering algorithms are iterative and have complex data access patterns that result in many small random memory accesses. The performance of parallel implementations suffer from synchronous barriers for each iteration and skewed…

分布式、并行与集群计算 · 计算机科学 2021-01-19 Disa Mhembere , Da Zheng , Carey E. Priebe , Joshua T. Vogelstein , Randal Burns

The $k$-center problem is a fundamental optimization problem with numerous applications in machine learning, data analysis, data mining, and communication networks. The $k$-center problem has been extensively studied in the classical…

数据结构与算法 · 计算机科学 2025-04-28 Artur Czumaj , Guichen Gao , Mohsen Ghaffari , Shaofeng H. -C. Jiang

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

机器学习 · 计算机科学 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

We present a new clustering algorithm called k-means-u* which in many cases is able to significantly improve the clusterings found by k-means++, the current de-facto standard for clustering in Euclidean spaces. First we introduce the…

机器学习 · 计算机科学 2017-07-18 Bernd Fritzke

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

In the era of big data, k-means clustering has been widely adopted as a basic processing tool in various contexts. However, its computational cost could be prohibitively high as the data size and the cluster number are large. It is well…

机器学习 · 计算机科学 2017-05-05 Cheng-Hao Deng , Wan-Lei Zhao

We propose a new algorithm for k-means clustering in a distributed setting, where the data is distributed across many machines, and a coordinator communicates with these machines to calculate the output clustering. Our algorithm guarantees…

分布式、并行与集群计算 · 计算机科学 2023-11-14 Tom Hess , Ron Visbord , Sivan Sabato

Clustering analysis has received considerable attention in spatial data mining for several years. With the rapid development of the geospatial information technologies, the size of spatial information data is growing exponentially which…

分布式、并行与集群计算 · 计算机科学 2016-08-25 Xia Yue , Wang Man , Jun Yue , Guangcao Liu

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

We propose k^2-means, a new clustering method which efficiently copes with large numbers of clusters and achieves low energy solutions. k^2-means builds upon the standard k-means (Lloyd's algorithm) and combines a new strategy to accelerate…

机器学习 · 计算机科学 2016-05-31 Eirikur Agustsson , Radu Timofte , Luc Van Gool

Center-based clustering algorithms (e.g., K-means) are popular for clustering tasks, but they usually struggle to achieve high accuracy on complex datasets. We believe the main reason is that traditional center-based clustering algorithms…

机器学习 · 计算机科学 2025-03-26 Qi Li

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

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

This paper presents an accelerated spherical K-means clustering algorithm for large-scale and high-dimensional sparse document data sets. We design an algorithm working in an architecture-friendly manner (AFM), which is a procedure of…

机器学习 · 统计学 2024-11-19 Kazuo Aoyama , Kazumi Saito

There has been much progress on efficient algorithms for clustering data points generated by a mixture of $k$ probability distributions under the assumption that the means of the distributions are well-separated, i.e., the distance between…

数据结构与算法 · 计算机科学 2010-04-13 Amit Kumar , Ravindran Kannan