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Kernel-based clustering algorithm can identify and capture the non-linear structure in datasets, and thereby it can achieve better performance than linear clustering. However, computing and storing the entire kernel matrix occupy so large…

Machine Learning · Computer Science 2020-02-10 Li Chen , Shuisheng Zhou , Jiajun Ma

We propose a novel accelerated exact k-means algorithm, which performs better than the current state-of-the-art low-dimensional algorithm in 18 of 22 experiments, running up to 3 times faster. We also propose a general improvement of…

Machine Learning · Statistics 2016-09-13 James Newling , François Fleuret

K-means is one of the most widely used algorithms for clustering in Data Mining applications, which attempts to minimize the sum of the square of the Euclidean distance of the points in the clusters from the respective means of the…

Machine Learning · Computer Science 2016-11-01 Sayantan Dasgupta

K-means is an effective clustering technique used to separate similar data into groups based on initial centroids of clusters. In this paper, Normalization based K-means clustering algorithm(N-K means) is proposed. Proposed N-K means…

Machine Learning · Computer Science 2015-03-04 Deepali Virmani , Shweta Taneja , Geetika Malhotra

We devise coresets for kernel $k$-Means with a general kernel, and use them to obtain new, more efficient, algorithms. Kernel $k$-Means has superior clustering capability compared to classical $k$-Means, particularly when clusters are…

Data Structures and Algorithms · Computer Science 2024-04-09 Shaofeng H. -C. Jiang , Robert Krauthgamer , Jianing Lou , Yubo Zhang

The k-means algorithm is one of the well-known and most popular clustering algorithms. K-means seeks an optimal partition of the data by minimizing the sum of squared error with an iterative optimization procedure, which belongs to the…

Machine Learning · Computer Science 2012-09-06 Ehsan Saboori , Shafigh Parsazad , Anoosheh Sadeghi

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-25 Xia Yue , Wang Man , Jun Yue , Guangcao Liu

Coresets are compact representations of data sets such that models trained on a coreset are provably competitive with models trained on the full data set. As such, they have been successfully used to scale up clustering models to massive…

Machine Learning · Statistics 2018-06-08 Olivier Bachem , Mario Lucic , Andreas Krause

$k$-means clustering is a well-studied problem due to its wide applicability. Unfortunately, there exist strong theoretical limits on the performance of any algorithm for the $k$-means problem on worst-case inputs. To overcome this barrier,…

Machine Learning · Computer Science 2022-03-22 Jon C. Ergun , Zhili Feng , Sandeep Silwal , David P. Woodruff , Samson Zhou

Center-based clustering is a pivotal primitive for unsupervised learning and data analysis. A popular variant is undoubtedly the k-means problem, which, given a set $P$ of points from a metric space and a parameter $k<|P|$, requires to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-21 Enrico Dandolo , Andrea Pietracaprina , Geppino Pucci

We propose a simple yet effective multiple kernel clustering algorithm, termed simple multiple kernel k-means (SimpleMKKM). It extends the widely used supervised kernel alignment criterion to multi-kernel clustering. Our criterion is given…

Machine Learning · Computer Science 2020-05-13 Xinwang Liu , En Zhu , Jiyuan Liu , Timothy Hospedales , Yang Wang , Meng Wang

There has been considerable work on improving popular clustering algorithm `K-means' in terms of mean squared error (MSE) and speed, both. However, most of the k-means variants tend to compute distance of each data point to each cluster…

Machine Learning · Computer Science 2017-01-18 Siddhesh Khandelwal , Amit Awekar

Distributed data mining techniques and mainly distributed clustering are widely used in the last decade because they deal with very large and heterogeneous datasets which cannot be gathered centrally. Current distributed clustering…

Databases · Computer Science 2018-02-02 Malika Bendechache , M-Tahar Kechadi

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…

Machine Learning · Computer Science 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

K-means is one of the most widely used clustering models in practice. Due to the problem of data isolation and the requirement for high model performance, how to jointly build practical and secure K-means for multiple parties has become an…

Machine Learning · Computer Science 2022-08-15 Yingting Liu , Chaochao Chen , Jamie Cui , Li Wang , Lei Wang

Clustering is one of the most crucial problems in unsupervised learning, and the well-known $k$-means clustering algorithm has been shown to be implementable on a quantum computer with a significant speedup. However, many clustering…

Quantum Physics · Physics 2023-01-03 Qingyu Li , Yuhan Huang , Shan Jin , Xiaokai Hou , Xiaoting Wang

One of the applications of center-based clustering algorithms such as K-Means is partitioning data points into K clusters. In some examples, the feature space relates to the underlying problem we are trying to solve, and sometimes we can…

Machine Learning · Computer Science 2020-09-23 Ali Hassani , Amir Iranmanesh , Mahdi Eftekhari , Abbas Salemi

Top-K SpMV is a key component of similarity-search on sparse embeddings. This sparse workload does not perform well on general-purpose NUMA systems that employ traditional caching strategies. Instead, modern FPGA accelerator cards have a…

Hardware Architecture · Computer Science 2021-03-09 Alberto Parravicini , Luca Giuseppe Cellamare , Marco Siracusa , Marco Domenico Santambrogio

Mesh partitioning is an indispensable tool for efficient parallel numerical simulations. Its goal is to minimize communication between the processes of a simulation while achieving load balance. Established graph-based partitioning tools…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-04 Moritz von Looz , Charilaos Tzovas , Henning Meyerhenke

In this work, we aim to solve a practical use-case of unsupervised clustering which has applications in predictive maintenance in the energy operations sector using quantum computers. Using only cloud access to quantum computers, we…

Quantum Physics · Physics 2022-09-13 Stephen DiAdamo , Corey O'Meara , Giorgio Cortiana , Juan Bernabé-Moreno
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