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Clustering is an effective technique in data mining to generate groups that are the matter of interest. Among various clustering approaches, the family of k-means algorithms and min-cut algorithms gain most popularity due to their…

Machine Learning · Computer Science 2014-11-25 Xiaojun Chang , Feiping Nie , Zhigang Ma , Yi Yang

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…

Machine Learning · Computer Science 2017-07-18 Bernd Fritzke

We study feature selection for $k$-means clustering. Although the literature contains many methods with good empirical performance, algorithms with provable theoretical behavior have only recently been developed. Unfortunately, these…

Machine Learning · Computer Science 2016-11-17 Christos Boutsidis , Malik Magdon-Ismail

The $k$-means algorithm is one of the most widely used clustering heuristics. Despite its simplicity, analyzing its running time and quality of approximation is surprisingly difficult and can lead to deep insights that can be used to…

Data Structures and Algorithms · Computer Science 2016-02-29 Johannes Blömer , Christiane Lammersen , Melanie Schmidt , Christian Sohler

Centroid based clustering methods such as k-means, k-medoids and k-centers are heavily applied as a go-to tool in exploratory data analysis. In many cases, those methods are used to obtain representative centroids of the data manifold for…

Machine Learning · Computer Science 2022-06-16 Ahmed Imtiaz Humayun , Randall Balestriero , Anastasios Kyrillidis , Richard Baraniuk

Clustering of image is one of the important steps of mining satellite images. In our experiment we have simultaneously run multiple K-means algorithms with different initial centroids and values of k in the same iteration of MapReduce jobs.…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-09 Tapan Sharma , Dr. Vinod Shokeen , Dr. Sunil Mathur

Spherical k-Means is frequently used to cluster document collections because it performs reasonably well in many settings and is computationally efficient. However, the time complexity increases linearly with the number of clusters k, which…

Machine Learning · Computer Science 2021-08-03 Johannes Knittel , Steffen Koch , Thomas Ertl

Among ensemble clustering methods, Evidence Accumulation Clustering is one of the simplest technics. In this approach, a co-association (CA) matrix representing the co-clustering frequency is built and then clustered to extract consensus…

Machine Learning · Computer Science 2023-11-17 Gaëlle Candel

Quantum machine learning is one of the most promising applications of a full-scale quantum computer. Over the past few years, many quantum machine learning algorithms have been proposed that can potentially offer considerable speedups over…

Quantum Physics · Physics 2021-06-14 Iordanis Kerenidis , Jonas Landman , Alessandro Luongo , Anupam Prakash

K-means is a popular clustering method used in data mining area. To work with large datasets, researchers propose PKMeans, which is a parallel k-means on MapReduce. However, the existing k-means parallelization methods including PKMeans…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-30 Shikai Jin , Yuxuan Cui , Chunli Yu

The $k$-Means algorithm is one of the most popular choices for clustering data but is well-known to be sensitive to the initialization process. There is a substantial number of methods that aim at finding optimal initial seeds for…

Applications · Statistics 2021-06-03 Javier Albert-Smet , Aurora Torrente , Juan Romo

The K-Means clustering using LLoyd's algorithm is an iterative approach to partition the given dataset into K different clusters. The algorithm assigns each point to the cluster based on the following objective function \[\ \min…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-21 Ashish Srivastava , Mohammed Nawfal

We study the effects of center initialization on the performance of a family of distributed gradient-based clustering algorithms introduced in [1], that work over connected networks of users. In the considered scenario, each user contains a…

Clustering is a separation of data into groups of similar objects. Every group called cluster consists of objects that are similar to one another and dissimilar to objects of other groups. In this paper, the K-Means algorithm is implemented…

Machine Learning · Computer Science 2013-04-03 P. Ashok , G. M Kadhar Nawaz , E. Elayaraja , V. Vadivel

This work proposes a clusterization algorithm called k-Morphological Sets (k-MS), based on morphological reconstruction and heuristics. k-MS is faster than the CPU-parallel k-Means in worst case scenarios and produces enhanced…

Machine Learning · Computer Science 2022-08-31 É. O. Rodrigues , L. Torok , P. Liatsis , J. Viterbo , A. Conci

There is a long history of research into time series clustering using distance-based partitional clustering. Many of the most popular algorithms adapt k-means (also known as Lloyd's algorithm) to exploit time dependencies in the data by…

Machine Learning · Computer Science 2024-10-21 Christopher Holder , Anthony Bagnall , Jason Lines

In this paper, we investigate the learning-augmented $k$-median clustering problem, which aims to improve the performance of traditional clustering algorithms by preprocessing the point set with a predictor of error rate $\alpha \in [0,1)$.…

Data Structures and Algorithms · Computer Science 2026-03-12 Kangke Cheng , Shihong Song , Guanlin Mo , Hu Ding

Capacitated p-median problem (CPMP) is an important variation of facility location problem in which p capacitated medians are economically selected to serve a set of demand vertices so that the total assigned demand to each of the candidate…

Optimization and Control · Mathematics 2014-07-01 Hassan Gholami Mazinan , Gholam Reza Ahmadi , Erfan Khaji

We study (Euclidean) $k$-median and $k$-means with constraints in the streaming model. There have been recent efforts to design unified algorithms to solve constrained $k$-means problems without using knowledge of the specific constraint at…

Data Structures and Algorithms · Computer Science 2021-06-15 Melanie Schmidt , Julian Wargalla

The task of labeling data for training deep neural networks is daunting and tedious, requiring millions of labels to achieve the current state-of-the-art results. Such reliance on large amounts of labeled data can be relaxed by exploiting…

Machine Learning · Computer Science 2016-02-17 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello