A Novel Hierarchical Clustering Approach Based on Universal Gravitation
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-01
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 of the vector characteristic of data gravitational force inspired by the law of universal gravitation.
In the first stage, a sparse gravitational graph is constructed based on the top k data gravitations between each data point and its neighbors in the local region.
Then the sparse graph is partitioned into many subgraphs by the gravitational influence coefficient.
In the last stage, the satisfactory clustering result is obtained by merging these subgraphs iteratively by using a new linkage criterion.
To demonstrate the performance of GHC algorithm, the experiments on synthetic and real-world data sets are conducted, and the results show that the GHC algorithm achieves better performance than the other existing clustering algorithms.
American Psychological Association (APA)
Zhang, Peng& She, Kun. 2020. A Novel Hierarchical Clustering Approach Based on Universal Gravitation. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1197244
Modern Language Association (MLA)
Zhang, Peng& She, Kun. A Novel Hierarchical Clustering Approach Based on Universal Gravitation. Mathematical Problems in Engineering No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1197244
American Medical Association (AMA)
Zhang, Peng& She, Kun. A Novel Hierarchical Clustering Approach Based on Universal Gravitation. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1197244
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1197244