An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights

K-means clustering algorithm is one of the most popular technique for clustering in machine learning, however, in the existing k-means clustering algorithm, the ability of the different features and the importance of the different data objects are treated equally; the discriminative ability of the d...

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Main Authors: Ziheng Wu, Zixiang Wu
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8986606/
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author Ziheng Wu
Zixiang Wu
author_facet Ziheng Wu
Zixiang Wu
author_sort Ziheng Wu
collection DOAJ
description K-means clustering algorithm is one of the most popular technique for clustering in machine learning, however, in the existing k-means clustering algorithm, the ability of the different features and the importance of the different data objects are treated equally; the discriminative ability of the different features and the importance of the different data objects cannot be differentiated effectively. In the light of this limitation, this paper put forward an enhanced regularized k-means type clustering algorithm with adaptive weights in which we introduced an adaptive feature weights matrix and an adaptive data weights vector into the objective function of the k-means clustering algorithm and we developed a new objective function with l2-norm regularization to the weights of data objects and features, then we obtained the corresponding scientific updating iterative rules of the weights of the different features, the weights of the different data objects and the cluster centers theoretically. In order to evaluate the performance of the new algorithm put forward, extensive experiments were conducted. Experimental results have indicated that our proposed algorithm can improve the clustering performance significantly and are more effective with respects to three metrics: the successful clustering rate (SCR), normal mutual information (NMI) and RandIndex.
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spelling doaj.art-bf64c8ab5d3643708fa1ab6848a6c9382022-12-21T22:50:39ZengIEEEIEEE Access2169-35362020-01-018311713117910.1109/ACCESS.2020.29723338986606An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive WeightsZiheng Wu0https://orcid.org/0000-0003-4633-6012Zixiang Wu1https://orcid.org/0000-0002-0732-9496School of Electrical and Information Engineering, Anhui University of Technology, Ma&#x2019;anshan, ChinaDepartment of Thoracic Surgery, Second Affiliated Hospital, Zhejiang University School of Medicine, Hangzhou, ChinaK-means clustering algorithm is one of the most popular technique for clustering in machine learning, however, in the existing k-means clustering algorithm, the ability of the different features and the importance of the different data objects are treated equally; the discriminative ability of the different features and the importance of the different data objects cannot be differentiated effectively. In the light of this limitation, this paper put forward an enhanced regularized k-means type clustering algorithm with adaptive weights in which we introduced an adaptive feature weights matrix and an adaptive data weights vector into the objective function of the k-means clustering algorithm and we developed a new objective function with l2-norm regularization to the weights of data objects and features, then we obtained the corresponding scientific updating iterative rules of the weights of the different features, the weights of the different data objects and the cluster centers theoretically. In order to evaluate the performance of the new algorithm put forward, extensive experiments were conducted. Experimental results have indicated that our proposed algorithm can improve the clustering performance significantly and are more effective with respects to three metrics: the successful clustering rate (SCR), normal mutual information (NMI) and RandIndex.https://ieeexplore.ieee.org/document/8986606/<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic>-means clustering algorithmmachine learningadaptive weights<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">l</italic>²-norm regularization
spellingShingle Ziheng Wu
Zixiang Wu
An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
IEEE Access
<italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic>-means clustering algorithm
machine learning
adaptive weights
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title An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
title_full An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
title_fullStr An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
title_full_unstemmed An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
title_short An Enhanced Regularized k-Means Type Clustering Algorithm With Adaptive Weights
title_sort enhanced regularized k means type clustering algorithm with adaptive weights
topic <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">K</italic>-means clustering algorithm
machine learning
adaptive weights
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url https://ieeexplore.ieee.org/document/8986606/
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