Boosting K-means for Big Data by Fusing Data Streaming with Global Optimization

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Hauptverfasser: Mussabayev, Ravil, Mussabayev, Rustam
Format: Preprint
Veröffentlicht: 2024
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author Mussabayev, Ravil
Mussabayev, Rustam
author_facet Mussabayev, Ravil
Mussabayev, Rustam
contents K-means clustering is a cornerstone of data mining, but its efficiency deteriorates when confronted with massive datasets. To address this limitation, we propose a novel heuristic algorithm that leverages the Variable Neighborhood Search (VNS) metaheuristic to optimize K-means clustering for big data. Our approach is based on the sequential optimization of the partial objective function landscapes obtained by restricting the Minimum Sum-of-Squares Clustering (MSSC) formulation to random samples from the original big dataset. Within each landscape, systematically expanding neighborhoods of the currently best (incumbent) solution are explored by reinitializing all degenerate and a varying number of additional centroids. Extensive and rigorous experimentation on a large number of real-world datasets reveals that by transforming the traditional local search into a global one, our algorithm significantly enhances the accuracy and efficiency of K-means clustering in big data environments, becoming the new state of the art in the field.
format Preprint
id arxiv_https___arxiv_org_abs_2410_14548
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Boosting K-means for Big Data by Fusing Data Streaming with Global Optimization
Mussabayev, Ravil
Mussabayev, Rustam
Machine Learning
Artificial Intelligence
Optimization and Control
K-means clustering is a cornerstone of data mining, but its efficiency deteriorates when confronted with massive datasets. To address this limitation, we propose a novel heuristic algorithm that leverages the Variable Neighborhood Search (VNS) metaheuristic to optimize K-means clustering for big data. Our approach is based on the sequential optimization of the partial objective function landscapes obtained by restricting the Minimum Sum-of-Squares Clustering (MSSC) formulation to random samples from the original big dataset. Within each landscape, systematically expanding neighborhoods of the currently best (incumbent) solution are explored by reinitializing all degenerate and a varying number of additional centroids. Extensive and rigorous experimentation on a large number of real-world datasets reveals that by transforming the traditional local search into a global one, our algorithm significantly enhances the accuracy and efficiency of K-means clustering in big data environments, becoming the new state of the art in the field.
title Boosting K-means for Big Data by Fusing Data Streaming with Global Optimization
topic Machine Learning
Artificial Intelligence
Optimization and Control
url https://arxiv.org/abs/2410.14548