2020
DOI: 10.1155/2020/6748056
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A Novel Hierarchical Clustering Approach Based on Universal Gravitation

Abstract: The target of the clustering analysis is to group a set of data points into several clusters based on the similarity or distance. The similarity or distance is usually a scalar used in numerous traditional clustering algorithms. Nevertheless, a vector, such as data gravitational force, contains more information than a scalar and can be applied in clustering analysis to promote clustering performance. Therefore, this paper proposes a three-stage hierarchical clustering approach called GHC, which takes advantage… Show more

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Cited by 10 publications
(5 citation statements)
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“…In recent years, several researchers further explored the potential of the gravitational clustering method, by regarding each data point as an object with mass and associating a data gravitational force with each data point generated by its neighbors [21]. Based on the data gravitational force, the position of each data point would be updated at each iteration and aggregated into clusters [22]. The use of data gravitational force (including its magnitude and direction) in clustering can be regarded as a variant of density-based clustering method [22].…”
Section: A Gravity-based Photon Density Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…In recent years, several researchers further explored the potential of the gravitational clustering method, by regarding each data point as an object with mass and associating a data gravitational force with each data point generated by its neighbors [21]. Based on the data gravitational force, the position of each data point would be updated at each iteration and aggregated into clusters [22]. The use of data gravitational force (including its magnitude and direction) in clustering can be regarded as a variant of density-based clustering method [22].…”
Section: A Gravity-based Photon Density Modelmentioning
confidence: 99%
“…Based on the data gravitational force, the position of each data point would be updated at each iteration and aggregated into clusters [22]. The use of data gravitational force (including its magnitude and direction) in clustering can be regarded as a variant of density-based clustering method [22]. To some extent, the data gravitational force can be considered as a similarity measure, which takes both distance and direction among data points into account [21].…”
Section: A Gravity-based Photon Density Modelmentioning
confidence: 99%
“…The universal gravitation algorithm has the advantages of strong global optimization ability and simple process [16,17]. It can be well used in practical problems and can highlight its superiority in the treatment of nonlinear problems.…”
Section: Improved Uga For Optimizing Kelmmentioning
confidence: 99%
“…The study of data driven projection algorithms suggest that a more fundamental approach which balances the forces exerted by samples of multiple classes could provide generalizable results. Inspired by different laws of Physics, researchers have proposed different techniques for data projection, classification, and clustering [3], [9], [12], [13], [18], [24], [26], [33]. Inspired by Newton's universal law of gravitation, Shi et al In input space, the classes are overlapped while in equilibrium space, the separation among the classes is optimal [23] presented a data preprocessing technique to optimize the inner structure of the data to create condensed and widely separated clusters.…”
Section: Introductionmentioning
confidence: 99%