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Using Warshall to Solve the Density-linked Density Clustering Algorithm
American Journal of Applied Mathematics
Volume 8, Issue 1, February 2020, Pages: 11-16
Received: Jan. 2, 2020; Accepted: Jan. 13, 2020; Published: Jan. 23, 2020
Authors
Mengying Huang, College of Data Science, Huashang College Guangdong University of Finance & Economics, Guangzhou, China
Yuanhai Yan, College of Data Science, Huashang College Guangdong University of Finance & Economics, Guangzhou, China
Lijuan Xu, College of Data Science, Huashang College Guangdong University of Finance & Economics, Guangzhou, China
Lihong Ye, College of Data Science, Huashang College Guangdong University of Finance & Economics, Guangzhou, China
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Abstract
Clustering algorithm has a wide range of applications in data mining, pattern recognition and machine learning. It is an important part of data mining technology. The emergence of massive data makes the application of data mining technology endless. Cluster analysis is the basic operation of big data processing. The clustering algorithm is to divide similar elements into one class, and to divide elements with large differences into different classes. Aiming at the computational complexity of the density clustering algorithm, this paper proposes an improved algorithm W-DBSCAN which uses Warshall algorithm to reduce its complexity. In the density clustering algorithm, the data with high similarity are densely connected. In this paper, aiming at the complexity of the density clustering algorithm, an improved algorithm W-DBSCAN using the Warshall algorithm to mitigate its complexity is proposed. In the density clustering algorithm, the data with high similarity is density-connected. This paper constructs a matrix n×n where the element (x, y) is marked as 1 means that the data x and data y are directly reachable, and then the reachability matrix of the matrix is calculated using the Warshall algorithm. The solution density connection problem is transformed into the solution reachability matrix problem, thus reducing the complexity of the algorithm.
Keywords
Warshall Algorithm, DBSCAN, Clustering
Mengying Huang, Yuanhai Yan, Lijuan Xu, Lihong Ye, Using Warshall to Solve the Density-linked Density Clustering Algorithm, American Journal of Applied Mathematics. Vol. 8, No. 1, 2020, pp. 11-16. doi: 10.11648/j.ajam.20200801.12
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